%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : NUM500+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 : n004.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 11:48:11 EDT 2023 % Result : Theorem 14.89s 3.35s % Output : Proof 58.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : NUM500+1 : TPTP v8.1.2. Released v4.0.0. % 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.35 % Computer : n004.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Fri Aug 25 16:07:08 EDT 2023 % 0.13/0.36 % CPUTime : % 0.21/0.62 ________ _____ % 0.21/0.62 ___ __ \_________(_)________________________________ % 0.21/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.62 % 0.21/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.62 (2023-06-19) % 0.21/0.62 % 0.21/0.62 (c) Philipp Rümmer, 2009-2023 % 0.21/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.62 Amanda Stjerna. % 0.21/0.62 Free software under BSD-3-Clause. % 0.21/0.62 % 0.21/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.62 % 0.21/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.21/0.64 Running up to 7 provers in parallel. % 0.21/0.68 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.68 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.68 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.68 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.68 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.68 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.68 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.91/1.26 Prover 4: Preprocessing ... % 2.91/1.26 Prover 1: Preprocessing ... % 3.42/1.31 Prover 5: Preprocessing ... % 3.42/1.31 Prover 2: Preprocessing ... % 3.42/1.31 Prover 6: Preprocessing ... % 3.42/1.31 Prover 0: Preprocessing ... % 3.42/1.32 Prover 3: Preprocessing ... % 8.87/2.28 Prover 3: Constructing countermodel ... % 8.87/2.28 Prover 1: Constructing countermodel ... % 8.87/2.29 Prover 5: Constructing countermodel ... % 8.87/2.29 Prover 6: Proving ... % 10.11/2.45 Prover 2: Proving ... % 10.68/2.56 Prover 4: Constructing countermodel ... % 12.98/2.96 Prover 0: Proving ... % 14.89/3.34 Prover 3: proved (2670ms) % 14.89/3.34 % 14.89/3.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 14.89/3.35 % 14.89/3.36 Prover 6: stopped % 14.89/3.37 Prover 5: stopped % 14.89/3.39 Prover 0: stopped % 14.89/3.40 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 14.89/3.40 Prover 2: stopped % 14.89/3.41 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 14.89/3.41 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 14.89/3.41 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 14.89/3.41 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 15.97/3.50 Prover 7: Preprocessing ... % 16.64/3.52 Prover 8: Preprocessing ... % 16.64/3.53 Prover 10: Preprocessing ... % 16.64/3.55 Prover 11: Preprocessing ... % 16.64/3.57 Prover 13: Preprocessing ... % 18.03/3.77 Prover 10: Constructing countermodel ... % 18.03/3.77 Prover 8: Warning: ignoring some quantifiers % 18.03/3.79 Prover 8: Constructing countermodel ... % 18.03/3.80 Prover 7: Constructing countermodel ... % 18.61/3.86 Prover 13: Constructing countermodel ... % 20.67/4.19 Prover 11: Constructing countermodel ... % 51.86/9.19 Prover 13: stopped % 51.86/9.19 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 51.86/9.23 Prover 16: Preprocessing ... % 52.83/9.33 Prover 16: Constructing countermodel ... % 56.55/9.92 Prover 1: Found proof (size 799) % 56.55/9.92 Prover 1: proved (9258ms) % 56.55/9.93 Prover 7: stopped % 56.55/9.93 Prover 10: stopped % 56.55/9.93 Prover 4: stopped % 56.55/9.93 Prover 8: stopped % 56.55/9.93 Prover 16: stopped % 56.55/9.93 Prover 11: stopped % 56.55/9.93 % 56.55/9.93 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 56.55/9.93 % 56.69/10.03 % SZS output start Proof for theBenchmark % 57.01/10.03 Assumptions after simplification: % 57.01/10.03 --------------------------------- % 57.01/10.03 % 57.01/10.03 (mAddAsso) % 57.01/10.06 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 57.01/10.06 (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) % 57.01/10.06 | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: $i] : ? % 57.01/10.06 [v9: $i] : (sdtpldt0(v1, v2) = v8 & sdtpldt0(v0, v8) = v9 & % 57.01/10.06 aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) % 57.01/10.06 = v5 & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = % 57.01/10.06 v4))) % 57.01/10.06 % 57.01/10.06 (mAddCanc) % 57.01/10.07 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v1 % 57.01/10.07 | ~ (sdtpldt0(v0, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ $i(v2) | ~ % 57.01/10.07 $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: % 57.01/10.07 $i] : ? [v9: $i] : (sdtpldt0(v2, v0) = v9 & sdtpldt0(v1, v0) = v8 & % 57.01/10.07 aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) % 57.01/10.07 = v5 & $i(v9) & $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ( ~ % 57.01/10.07 (v9 = v8) & ~ (v4 = v3))))) % 57.01/10.07 % 57.01/10.07 (mAddComm) % 57.01/10.07 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ % 57.01/10.07 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] : % 57.01/10.07 (sdtpldt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 % 57.01/10.07 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2))) % 57.01/10.07 % 57.01/10.07 (mDefDiv) % 57.01/10.07 ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ (doDivides0(v0, v1) = v2) | ~ % 57.01/10.07 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : (aNaturalNumber0(v1) = v4 % 57.01/10.07 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | (( ~ (v2 = 0) % 57.01/10.07 | ? [v3: $i] : (sdtasdt0(v0, v3) = v1 & aNaturalNumber0(v3) = 0 & % 57.01/10.07 $i(v3))) & (v2 = 0 | ! [v3: $i] : ( ~ (sdtasdt0(v0, v3) = v1) | ~ % 57.01/10.07 $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = v4))))) % 57.01/10.07 % 57.01/10.07 (mDefLE) % 57.21/10.07 ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ (sdtlseqdt0(v0, v1) = v2) | ~ % 57.21/10.07 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : (aNaturalNumber0(v1) = v4 % 57.21/10.07 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | (( ~ (v2 = 0) % 57.21/10.07 | ? [v3: $i] : (sdtpldt0(v0, v3) = v1 & aNaturalNumber0(v3) = 0 & % 57.21/10.07 $i(v3))) & (v2 = 0 | ! [v3: $i] : ( ~ (sdtpldt0(v0, v3) = v1) | ~ % 57.21/10.07 $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = v4))))) % 57.21/10.07 % 57.21/10.08 (mDefPrime) % 57.21/10.08 $i(sz10) & $i(sz00) & ! [v0: $i] : ! [v1: any] : ( ~ (isPrime0(v0) = v1) | % 57.21/10.08 ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2) | (( ~ % 57.21/10.08 (v1 = 0) | ( ~ (v0 = sz10) & ~ (v0 = sz00) & ! [v2: $i] : (v2 = v0 | % 57.21/10.08 v2 = sz10 | ~ (doDivides0(v2, v0) = 0) | ~ $i(v2) | ? [v3: int] : % 57.21/10.08 ( ~ (v3 = 0) & aNaturalNumber0(v2) = v3)))) & (v1 = 0 | v0 = sz10 | % 57.21/10.08 v0 = sz00 | ? [v2: $i] : ( ~ (v2 = v0) & ~ (v2 = sz10) & % 57.21/10.08 doDivides0(v2, v0) = 0 & aNaturalNumber0(v2) = 0 & $i(v2))))) % 57.21/10.08 % 57.21/10.08 (mDefQuot) % 57.21/10.08 $i(sz00) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = sz00 | ~ % 57.21/10.08 (sdtsldt0(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: % 57.21/10.08 any] : ? [v5: any] : (doDivides0(v0, v1) = v5 & aNaturalNumber0(v1) = v4 % 57.21/10.08 & aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0))) | % 57.21/10.08 ( ! [v3: $i] : (v3 = v2 | ~ (sdtasdt0(v0, v3) = v1) | ~ $i(v3) | ? [v4: % 57.21/10.08 int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = v4)) & ! [v3: $i] : ( ~ % 57.21/10.08 (sdtasdt0(v0, v2) = v3) | ~ $i(v2) | (v3 = v1 & aNaturalNumber0(v2) = % 57.21/10.08 0)))) % 57.21/10.08 % 57.21/10.08 (mDivLE) % 57.21/10.08 $i(sz00) & ! [v0: $i] : ! [v1: $i] : (v1 = sz00 | ~ (doDivides0(v0, v1) = % 57.21/10.08 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : % 57.21/10.08 (sdtlseqdt0(v0, v1) = v4 & aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = % 57.21/10.08 v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = 0))) % 57.21/10.08 % 57.21/10.08 (mDivMin) % 57.21/10.08 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (doDivides0(v0, % 57.21/10.08 v3) = 0) | ~ (sdtpldt0(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 57.21/10.08 $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: % 57.21/10.08 any] : (doDivides0(v0, v2) = v8 & doDivides0(v0, v1) = v7 & % 57.21/10.08 aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) % 57.21/10.08 = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v8 = 0))) % 57.21/10.08 % 57.21/10.08 (mLETran) % 57.21/10.09 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 57.21/10.09 (sdtlseqdt0(v0, v2) = v3) | ~ (sdtlseqdt0(v0, v1) = 0) | ~ $i(v2) | ~ % 57.21/10.09 $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: % 57.21/10.09 any] : (sdtlseqdt0(v1, v2) = v7 & aNaturalNumber0(v2) = v6 & % 57.21/10.09 aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v7 = 0) | ~ % 57.21/10.09 (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))) % 57.21/10.09 % 57.21/10.09 (mMulCanc) % 57.21/10.09 $i(sz00) & ! [v0: $i] : (v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ~ $i(v0) % 57.21/10.09 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v1 | ~ % 57.21/10.09 (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ $i(v2) | ~ % 57.21/10.09 $i(v1) | ? [v5: any] : ? [v6: any] : ? [v7: $i] : ? [v8: $i] : % 57.21/10.09 (sdtasdt0(v2, v0) = v8 & sdtasdt0(v1, v0) = v7 & aNaturalNumber0(v2) = v6 % 57.21/10.09 & aNaturalNumber0(v1) = v5 & $i(v8) & $i(v7) & ( ~ (v6 = 0) | ~ (v5 = % 57.21/10.09 0) | ( ~ (v8 = v7) & ~ (v4 = v3)))))) % 57.21/10.09 % 57.21/10.09 (mMulComm) % 57.21/10.09 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ % 57.21/10.09 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] : % 57.21/10.09 (sdtasdt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 % 57.21/10.09 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2))) % 57.21/10.09 % 57.21/10.09 (mPrimDiv) % 57.21/10.09 $i(sz10) & $i(sz00) & ! [v0: $i] : (v0 = sz10 | v0 = sz00 | ~ % 57.21/10.09 (aNaturalNumber0(v0) = 0) | ~ $i(v0) | ? [v1: $i] : (isPrime0(v1) = 0 & % 57.21/10.09 doDivides0(v1, v0) = 0 & aNaturalNumber0(v1) = 0 & $i(v1))) % 57.21/10.09 % 57.21/10.09 (mSortsB) % 57.21/10.09 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ % 57.21/10.09 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 57.21/10.09 (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = % 57.21/10.09 v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) % 57.21/10.09 % 57.21/10.09 (mSortsB_02) % 57.21/10.09 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ % 57.21/10.09 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 57.21/10.09 (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = % 57.21/10.09 v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) % 57.21/10.09 % 57.21/10.09 (m_AddZero) % 57.21/10.09 $i(sz00) & ! [v0: $i] : ! [v1: $i] : ( ~ (sdtpldt0(sz00, v0) = v1) | ~ % 57.21/10.09 $i(v0) | ? [v2: any] : ? [v3: $i] : (sdtpldt0(v0, sz00) = v3 & % 57.21/10.09 aNaturalNumber0(v0) = v2 & $i(v3) & ( ~ (v2 = 0) | (v3 = v0 & v1 = v0)))) % 57.21/10.09 % 57.21/10.09 (m_MulZero) % 57.21/10.10 $i(sz00) & ! [v0: $i] : ! [v1: $i] : ( ~ (sdtasdt0(sz00, v0) = v1) | ~ % 57.21/10.10 $i(v0) | ? [v2: any] : ? [v3: $i] : (sdtasdt0(v0, sz00) = v3 & % 57.21/10.10 aNaturalNumber0(v0) = v2 & $i(v3) & ( ~ (v2 = 0) | (v3 = sz00 & v1 = % 57.21/10.10 sz00)))) % 57.21/10.10 % 57.21/10.10 (m__) % 57.21/10.10 $i(xk) & ! [v0: $i] : ( ~ (doDivides0(v0, xk) = 0) | ~ $i(v0) | ? [v1: any] % 57.21/10.10 : ? [v2: any] : (isPrime0(v0) = v2 & aNaturalNumber0(v0) = v1 & ( ~ (v2 = % 57.21/10.10 0) | ~ (v1 = 0)))) % 57.21/10.10 % 57.21/10.10 (m__1799) % 57.21/10.10 $i(xp) & $i(xm) & $i(xn) & ? [v0: $i] : ? [v1: $i] : (sdtpldt0(v0, xp) = v1 % 57.21/10.10 & sdtpldt0(xn, xm) = v0 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! % 57.21/10.10 [v4: $i] : ! [v5: $i] : ( ~ (doDivides0(v4, v5) = 0) | ~ (sdtasdt0(v2, v3) % 57.21/10.10 = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ? [v6: any] : ? [v7: any] % 57.21/10.10 : ? [v8: any] : ? [v9: any] : ? [v10: $i] : ? [v11: $i] : ? [v12: % 57.21/10.10 any] : ? [v13: any] : ? [v14: any] : (isPrime0(v4) = v9 & % 57.21/10.10 doDivides0(v4, v3) = v14 & doDivides0(v4, v2) = v13 & iLess0(v11, v1) = % 57.21/10.10 v12 & sdtpldt0(v10, v4) = v11 & sdtpldt0(v2, v3) = v10 & % 57.21/10.10 aNaturalNumber0(v4) = v8 & aNaturalNumber0(v3) = v7 & % 57.21/10.10 aNaturalNumber0(v2) = v6 & $i(v11) & $i(v10) & ( ~ (v12 = 0) | ~ (v9 = % 57.21/10.10 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v14 = 0 | v13 = 0)))) % 57.21/10.10 % 57.21/10.10 (m__1837) % 57.21/10.10 aNaturalNumber0(xp) = 0 & aNaturalNumber0(xm) = 0 & aNaturalNumber0(xn) = 0 & % 57.21/10.10 $i(xp) & $i(xm) & $i(xn) % 57.21/10.10 % 57.21/10.10 (m__1860) % 57.21/10.10 $i(xp) & $i(xm) & $i(xn) & ? [v0: $i] : (isPrime0(xp) = 0 & doDivides0(xp, % 57.21/10.10 v0) = 0 & sdtasdt0(xn, xm) = v0 & $i(v0)) % 57.21/10.10 % 57.21/10.10 (m__2075) % 57.21/10.10 $i(xp) & $i(xm) & ? [v0: int] : ( ~ (v0 = 0) & sdtlseqdt0(xp, xm) = v0) % 57.21/10.10 % 57.21/10.10 (m__2287) % 57.21/10.10 ~ (xp = xm) & ~ (xp = xn) & sdtlseqdt0(xm, xp) = 0 & sdtlseqdt0(xn, xp) = 0 % 57.21/10.10 & $i(xp) & $i(xm) & $i(xn) % 57.21/10.10 % 57.21/10.10 (m__2306) % 57.21/10.10 $i(xk) & $i(xp) & $i(xm) & $i(xn) & ? [v0: $i] : (sdtsldt0(v0, xp) = xk & % 57.21/10.10 sdtasdt0(xn, xm) = v0 & $i(v0)) % 57.21/10.10 % 57.21/10.10 (m__2315) % 57.21/10.10 ~ (xk = sz10) & ~ (xk = sz00) & $i(xk) & $i(sz10) & $i(sz00) % 57.21/10.10 % 57.21/10.10 (m__2327) % 57.21/10.10 ~ (xk = sz10) & ~ (xk = sz00) & $i(xk) & $i(sz10) & $i(sz00) % 57.21/10.10 % 57.21/10.10 (function-axioms) % 57.21/10.11 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 57.21/10.11 (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0)) & ! [v0: % 57.21/10.11 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 57.21/10.11 : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~ (doDivides0(v3, v2) = v0)) & ! % 57.21/10.11 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 57.21/10.11 $i] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) & ! % 57.21/10.11 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 57.21/10.11 (sdtmndt0(v3, v2) = v1) | ~ (sdtmndt0(v3, v2) = v0)) & ! [v0: % 57.21/10.11 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 57.21/10.11 : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0)) & ! % 57.21/10.11 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 57.21/10.11 (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) & ! [v0: $i] : ! % 57.21/10.11 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | % 57.21/10.11 ~ (sdtpldt0(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 57.21/10.11 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (isPrime0(v2) = v1) | ~ % 57.21/10.11 (isPrime0(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 57.21/10.11 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) % 57.21/10.11 | ~ (aNaturalNumber0(v2) = v0)) % 57.21/10.11 % 57.21/10.11 Further assumptions not needed in the proof: % 57.21/10.11 -------------------------------------------- % 57.21/10.11 mAMDistr, mDefDiff, mDivAsso, mDivSum, mDivTrans, mIH, mIH_03, mLEAsym, mLENTr, % 57.21/10.11 mLERefl, mLETotal, mMonAdd, mMonMul, mMonMul2, mMulAsso, mNatSort, mSortsC, % 57.21/10.11 mSortsC_01, mZeroAdd, mZeroMul, m_MulUnit, m__1870 % 57.21/10.11 % 57.21/10.11 Those formulas are unsatisfiable: % 57.21/10.11 --------------------------------- % 57.21/10.11 % 57.21/10.11 Begin of proof % 57.21/10.11 | % 57.21/10.11 | ALPHA: (m_AddZero) implies: % 57.21/10.11 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (sdtpldt0(sz00, v0) = v1) | ~ $i(v0) | % 57.21/10.11 | ? [v2: any] : ? [v3: $i] : (sdtpldt0(v0, sz00) = v3 & % 57.21/10.11 | aNaturalNumber0(v0) = v2 & $i(v3) & ( ~ (v2 = 0) | (v3 = v0 & v1 = % 57.21/10.11 | v0)))) % 57.21/10.11 | % 57.21/10.11 | ALPHA: (m_MulZero) implies: % 57.21/10.11 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (sdtasdt0(sz00, v0) = v1) | ~ $i(v0) | % 57.21/10.11 | ? [v2: any] : ? [v3: $i] : (sdtasdt0(v0, sz00) = v3 & % 57.21/10.11 | aNaturalNumber0(v0) = v2 & $i(v3) & ( ~ (v2 = 0) | (v3 = sz00 & v1 % 57.21/10.11 | = sz00)))) % 57.21/10.11 | % 57.21/10.11 | ALPHA: (mMulCanc) implies: % 57.21/10.12 | (3) ! [v0: $i] : (v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ~ $i(v0) | % 57.21/10.12 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v1 | ~ % 57.21/10.12 | (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ $i(v2) | % 57.21/10.12 | ~ $i(v1) | ? [v5: any] : ? [v6: any] : ? [v7: $i] : ? [v8: $i] % 57.21/10.12 | : (sdtasdt0(v2, v0) = v8 & sdtasdt0(v1, v0) = v7 & % 57.21/10.12 | aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & $i(v8) & % 57.21/10.12 | $i(v7) & ( ~ (v6 = 0) | ~ (v5 = 0) | ( ~ (v8 = v7) & ~ (v4 = % 57.21/10.12 | v3)))))) % 57.21/10.12 | % 57.21/10.12 | ALPHA: (mDefQuot) implies: % 57.21/10.12 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = sz00 | ~ (sdtsldt0(v1, % 57.21/10.12 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 57.21/10.12 | ? [v5: any] : (doDivides0(v0, v1) = v5 & aNaturalNumber0(v1) = v4 & % 57.21/10.12 | aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = % 57.21/10.12 | 0))) | ( ! [v3: $i] : (v3 = v2 | ~ (sdtasdt0(v0, v3) = v1) | % 57.21/10.12 | ~ $i(v3) | ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = % 57.21/10.12 | v4)) & ! [v3: $i] : ( ~ (sdtasdt0(v0, v2) = v3) | ~ $i(v2) | % 57.21/10.12 | (v3 = v1 & aNaturalNumber0(v2) = 0)))) % 57.21/10.12 | % 57.21/10.12 | ALPHA: (mDivLE) implies: % 57.21/10.12 | (5) ! [v0: $i] : ! [v1: $i] : (v1 = sz00 | ~ (doDivides0(v0, v1) = 0) | % 57.21/10.12 | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : % 57.21/10.12 | (sdtlseqdt0(v0, v1) = v4 & aNaturalNumber0(v1) = v3 & % 57.21/10.12 | aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = 0))) % 57.21/10.12 | % 57.21/10.12 | ALPHA: (mDefPrime) implies: % 57.21/10.12 | (6) ! [v0: $i] : ! [v1: any] : ( ~ (isPrime0(v0) = v1) | ~ $i(v0) | ? % 57.21/10.12 | [v2: int] : ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2) | (( ~ (v1 = 0) % 57.21/10.12 | | ( ~ (v0 = sz10) & ~ (v0 = sz00) & ! [v2: $i] : (v2 = v0 | v2 % 57.21/10.12 | = sz10 | ~ (doDivides0(v2, v0) = 0) | ~ $i(v2) | ? [v3: % 57.21/10.12 | int] : ( ~ (v3 = 0) & aNaturalNumber0(v2) = v3)))) & (v1 = % 57.21/10.12 | 0 | v0 = sz10 | v0 = sz00 | ? [v2: $i] : ( ~ (v2 = v0) & ~ (v2 % 57.21/10.12 | = sz10) & doDivides0(v2, v0) = 0 & aNaturalNumber0(v2) = 0 & % 57.21/10.12 | $i(v2))))) % 57.21/10.12 | % 57.21/10.12 | ALPHA: (mPrimDiv) implies: % 57.21/10.12 | (7) ! [v0: $i] : (v0 = sz10 | v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | % 57.21/10.12 | ~ $i(v0) | ? [v1: $i] : (isPrime0(v1) = 0 & doDivides0(v1, v0) = 0 & % 57.21/10.12 | aNaturalNumber0(v1) = 0 & $i(v1))) % 57.21/10.12 | % 57.21/10.12 | ALPHA: (m__1837) implies: % 57.21/10.13 | (8) aNaturalNumber0(xn) = 0 % 57.21/10.13 | (9) aNaturalNumber0(xm) = 0 % 57.21/10.13 | (10) aNaturalNumber0(xp) = 0 % 57.21/10.13 | % 57.21/10.13 | ALPHA: (m__1799) implies: % 57.21/10.13 | (11) ? [v0: $i] : ? [v1: $i] : (sdtpldt0(v0, xp) = v1 & sdtpldt0(xn, xm) % 57.21/10.13 | = v0 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 57.21/10.13 | ! [v5: $i] : ( ~ (doDivides0(v4, v5) = 0) | ~ (sdtasdt0(v2, v3) = % 57.21/10.13 | v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ? [v6: any] : ? [v7: % 57.21/10.13 | any] : ? [v8: any] : ? [v9: any] : ? [v10: $i] : ? [v11: $i] % 57.21/10.13 | : ? [v12: any] : ? [v13: any] : ? [v14: any] : (isPrime0(v4) = % 57.21/10.13 | v9 & doDivides0(v4, v3) = v14 & doDivides0(v4, v2) = v13 & % 57.21/10.13 | iLess0(v11, v1) = v12 & sdtpldt0(v10, v4) = v11 & sdtpldt0(v2, % 57.21/10.13 | v3) = v10 & aNaturalNumber0(v4) = v8 & aNaturalNumber0(v3) = % 57.21/10.13 | v7 & aNaturalNumber0(v2) = v6 & $i(v11) & $i(v10) & ( ~ (v12 = % 57.21/10.13 | 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | % 57.21/10.13 | v14 = 0 | v13 = 0)))) % 57.21/10.13 | % 57.21/10.13 | ALPHA: (m__1860) implies: % 57.21/10.13 | (12) ? [v0: $i] : (isPrime0(xp) = 0 & doDivides0(xp, v0) = 0 & % 57.21/10.13 | sdtasdt0(xn, xm) = v0 & $i(v0)) % 57.21/10.13 | % 57.21/10.13 | ALPHA: (m__2075) implies: % 57.21/10.13 | (13) ? [v0: int] : ( ~ (v0 = 0) & sdtlseqdt0(xp, xm) = v0) % 57.21/10.13 | % 57.21/10.13 | ALPHA: (m__2287) implies: % 57.21/10.13 | (14) ~ (xp = xn) % 57.21/10.13 | (15) sdtlseqdt0(xn, xp) = 0 % 57.21/10.13 | (16) sdtlseqdt0(xm, xp) = 0 % 57.21/10.13 | % 57.21/10.13 | ALPHA: (m__2306) implies: % 57.21/10.13 | (17) $i(xn) % 57.21/10.13 | (18) $i(xm) % 57.21/10.13 | (19) $i(xp) % 57.21/10.13 | (20) ? [v0: $i] : (sdtsldt0(v0, xp) = xk & sdtasdt0(xn, xm) = v0 & $i(v0)) % 57.21/10.13 | % 57.21/10.13 | ALPHA: (m__2327) implies: % 57.21/10.13 | (21) ~ (xk = sz00) % 57.21/10.13 | (22) ~ (xk = sz10) % 57.21/10.13 | % 57.21/10.13 | ALPHA: (m__) implies: % 57.21/10.13 | (23) ! [v0: $i] : ( ~ (doDivides0(v0, xk) = 0) | ~ $i(v0) | ? [v1: any] % 57.21/10.13 | : ? [v2: any] : (isPrime0(v0) = v2 & aNaturalNumber0(v0) = v1 & ( ~ % 57.21/10.13 | (v2 = 0) | ~ (v1 = 0)))) % 57.21/10.13 | % 57.21/10.13 | ALPHA: (function-axioms) implies: % 57.21/10.13 | (24) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 57.21/10.13 | : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = % 57.21/10.13 | v0)) % 57.21/10.13 | (25) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 57.21/10.13 | : (v1 = v0 | ~ (isPrime0(v2) = v1) | ~ (isPrime0(v2) = v0)) % 57.21/10.14 | (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 57.21/10.14 | (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) % 57.21/10.14 | (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 57.21/10.14 | (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) % 57.21/10.14 | (28) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 57.21/10.14 | : ! [v3: $i] : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~ % 57.21/10.14 | (doDivides0(v3, v2) = v0)) % 57.21/10.14 | % 57.21/10.14 | DELTA: instantiating (13) with fresh symbol all_41_0 gives: % 57.21/10.14 | (29) ~ (all_41_0 = 0) & sdtlseqdt0(xp, xm) = all_41_0 % 57.21/10.14 | % 57.21/10.14 | ALPHA: (29) implies: % 57.21/10.14 | (30) ~ (all_41_0 = 0) % 57.21/10.14 | (31) sdtlseqdt0(xp, xm) = all_41_0 % 57.21/10.14 | % 57.21/10.14 | DELTA: instantiating (20) with fresh symbol all_43_0 gives: % 57.21/10.14 | (32) sdtsldt0(all_43_0, xp) = xk & sdtasdt0(xn, xm) = all_43_0 & % 57.21/10.14 | $i(all_43_0) % 57.21/10.14 | % 57.21/10.14 | ALPHA: (32) implies: % 57.21/10.14 | (33) sdtasdt0(xn, xm) = all_43_0 % 57.21/10.14 | (34) sdtsldt0(all_43_0, xp) = xk % 57.21/10.14 | % 57.21/10.14 | DELTA: instantiating (12) with fresh symbol all_45_0 gives: % 57.21/10.14 | (35) isPrime0(xp) = 0 & doDivides0(xp, all_45_0) = 0 & sdtasdt0(xn, xm) = % 57.21/10.14 | all_45_0 & $i(all_45_0) % 57.21/10.14 | % 57.21/10.14 | ALPHA: (35) implies: % 57.53/10.14 | (36) $i(all_45_0) % 57.53/10.14 | (37) sdtasdt0(xn, xm) = all_45_0 % 57.53/10.14 | (38) doDivides0(xp, all_45_0) = 0 % 57.53/10.14 | (39) isPrime0(xp) = 0 % 57.53/10.14 | % 57.53/10.14 | DELTA: instantiating (11) with fresh symbols all_47_0, all_47_1 gives: % 57.53/10.14 | (40) sdtpldt0(all_47_1, xp) = all_47_0 & sdtpldt0(xn, xm) = all_47_1 & % 57.53/10.14 | $i(all_47_0) & $i(all_47_1) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 57.53/10.14 | : ! [v3: $i] : ( ~ (doDivides0(v2, v3) = 0) | ~ (sdtasdt0(v0, v1) = % 57.53/10.14 | v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: % 57.53/10.14 | any] : ? [v6: any] : ? [v7: any] : ? [v8: $i] : ? [v9: $i] : % 57.53/10.14 | ? [v10: any] : ? [v11: any] : ? [v12: any] : (isPrime0(v2) = v7 & % 57.53/10.14 | doDivides0(v2, v1) = v12 & doDivides0(v2, v0) = v11 & iLess0(v9, % 57.53/10.14 | all_47_0) = v10 & sdtpldt0(v8, v2) = v9 & sdtpldt0(v0, v1) = v8 % 57.53/10.14 | & aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & % 57.53/10.14 | aNaturalNumber0(v0) = v4 & $i(v9) & $i(v8) & ( ~ (v10 = 0) | ~ % 57.53/10.14 | (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v12 = 0 | % 57.53/10.14 | v11 = 0))) % 57.53/10.14 | % 57.53/10.14 | ALPHA: (40) implies: % 57.53/10.14 | (41) $i(all_47_1) % 57.53/10.14 | (42) sdtpldt0(xn, xm) = all_47_1 % 57.53/10.14 | (43) sdtpldt0(all_47_1, xp) = all_47_0 % 57.53/10.14 | (44) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 57.53/10.14 | (doDivides0(v2, v3) = 0) | ~ (sdtasdt0(v0, v1) = v3) | ~ $i(v2) | % 57.53/10.15 | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: any] : % 57.53/10.15 | ? [v7: any] : ? [v8: $i] : ? [v9: $i] : ? [v10: any] : ? [v11: % 57.53/10.15 | any] : ? [v12: any] : (isPrime0(v2) = v7 & doDivides0(v2, v1) = % 57.53/10.15 | v12 & doDivides0(v2, v0) = v11 & iLess0(v9, all_47_0) = v10 & % 57.53/10.15 | sdtpldt0(v8, v2) = v9 & sdtpldt0(v0, v1) = v8 & % 57.53/10.15 | aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & % 57.53/10.15 | aNaturalNumber0(v0) = v4 & $i(v9) & $i(v8) & ( ~ (v10 = 0) | ~ % 57.53/10.15 | (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v12 = 0 | % 57.53/10.15 | v11 = 0))) % 57.53/10.15 | % 57.53/10.15 | GROUND_INST: instantiating (27) with all_43_0, all_45_0, xm, xn, simplifying % 57.53/10.15 | with (33), (37) gives: % 57.53/10.15 | (45) all_45_0 = all_43_0 % 57.53/10.15 | % 57.53/10.15 | REDUCE: (38), (45) imply: % 57.53/10.15 | (46) doDivides0(xp, all_43_0) = 0 % 57.53/10.15 | % 57.53/10.15 | REDUCE: (36), (45) imply: % 57.53/10.15 | (47) $i(all_43_0) % 57.53/10.15 | % 57.53/10.15 | GROUND_INST: instantiating (7) with xn, simplifying with (8), (17) gives: % 57.53/10.15 | (48) xn = sz10 | xn = sz00 | ? [v0: $i] : (isPrime0(v0) = 0 & % 57.53/10.15 | doDivides0(v0, xn) = 0 & aNaturalNumber0(v0) = 0 & $i(v0)) % 57.53/10.15 | % 57.53/10.15 | GROUND_INST: instantiating (3) with xn, simplifying with (8), (17) gives: % 57.53/10.15 | (49) xn = sz00 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 57.53/10.15 | (v1 = v0 | ~ (sdtasdt0(xn, v1) = v3) | ~ (sdtasdt0(xn, v0) = v2) | % 57.53/10.15 | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: $i] : % 57.53/10.15 | ? [v7: $i] : (sdtasdt0(v1, xn) = v7 & sdtasdt0(v0, xn) = v6 & % 57.53/10.15 | aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & $i(v7) & % 57.53/10.15 | $i(v6) & ( ~ (v5 = 0) | ~ (v4 = 0) | ( ~ (v7 = v6) & ~ (v3 = % 57.53/10.15 | v2))))) % 57.53/10.15 | % 57.53/10.15 | GROUND_INST: instantiating (7) with xp, simplifying with (10), (19) gives: % 57.53/10.15 | (50) xp = sz10 | xp = sz00 | ? [v0: $i] : (isPrime0(v0) = 0 & % 57.53/10.15 | doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0 & $i(v0)) % 57.53/10.15 | % 57.53/10.15 | GROUND_INST: instantiating (mAddComm) with xn, xm, all_47_1, simplifying with % 57.53/10.15 | (17), (18), (42) gives: % 57.53/10.15 | (51) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtpldt0(xm, xn) = v2 & % 57.53/10.15 | aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & $i(v2) & ( ~ % 57.53/10.15 | (v1 = 0) | ~ (v0 = 0) | v2 = all_47_1)) % 57.53/10.15 | % 57.53/10.15 | GROUND_INST: instantiating (mSortsB) with xn, xm, all_47_1, simplifying with % 57.53/10.15 | (17), (18), (42) gives: % 57.53/10.15 | (52) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 57.53/10.15 | (aNaturalNumber0(all_47_1) = v2 & aNaturalNumber0(xm) = v1 & % 57.53/10.15 | aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 57.53/10.15 | % 57.53/10.15 | GROUND_INST: instantiating (mAddAsso) with xn, xm, xp, all_47_1, all_47_0, % 57.53/10.15 | simplifying with (17), (18), (19), (42), (43) gives: % 57.53/10.15 | (53) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i] % 57.53/10.15 | : (sdtpldt0(xm, xp) = v3 & sdtpldt0(xn, v3) = v4 & aNaturalNumber0(xp) % 57.53/10.15 | = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & $i(v4) % 57.53/10.15 | & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = % 57.53/10.15 | all_47_0)) % 57.53/10.15 | % 57.53/10.15 | GROUND_INST: instantiating (mAddComm) with all_47_1, xp, all_47_0, simplifying % 57.53/10.15 | with (19), (41), (43) gives: % 57.53/10.15 | (54) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtpldt0(xp, all_47_1) = % 57.53/10.15 | v2 & aNaturalNumber0(all_47_1) = v0 & aNaturalNumber0(xp) = v1 & % 57.53/10.15 | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_47_0)) % 57.53/10.15 | % 57.53/10.15 | GROUND_INST: instantiating (mSortsB) with all_47_1, xp, all_47_0, simplifying % 57.53/10.15 | with (19), (41), (43) gives: % 57.53/10.16 | (55) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 57.53/10.16 | (aNaturalNumber0(all_47_0) = v2 & aNaturalNumber0(all_47_1) = v0 & % 57.53/10.16 | aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 57.53/10.16 | % 57.53/10.16 | GROUND_INST: instantiating (mMulComm) with xn, xm, all_43_0, simplifying with % 57.53/10.16 | (17), (18), (33) gives: % 57.53/10.16 | (56) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(xm, xn) = v2 & % 57.53/10.16 | aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & $i(v2) & ( ~ % 57.53/10.16 | (v1 = 0) | ~ (v0 = 0) | v2 = all_43_0)) % 57.53/10.16 | % 57.53/10.16 | GROUND_INST: instantiating (mSortsB_02) with xn, xm, all_43_0, simplifying % 57.53/10.16 | with (17), (18), (33) gives: % 57.53/10.16 | (57) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 57.53/10.16 | (aNaturalNumber0(all_43_0) = v2 & aNaturalNumber0(xm) = v1 & % 57.53/10.16 | aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 57.53/10.16 | % 57.53/10.16 | GROUND_INST: instantiating (mDefLE) with xn, xp, 0, simplifying with (15), % 57.53/10.16 | (17), (19) gives: % 57.53/10.16 | (58) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xp) = v1 & % 57.53/10.16 | aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | ? [v0: % 57.53/10.16 | $i] : (sdtpldt0(xn, v0) = xp & aNaturalNumber0(v0) = 0 & $i(v0)) % 57.53/10.16 | % 57.53/10.16 | GROUND_INST: instantiating (mDefLE) with xm, xp, 0, simplifying with (16), % 57.53/10.16 | (18), (19) gives: % 57.53/10.16 | (59) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xp) = v1 & % 57.53/10.16 | aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | ? [v0: % 57.53/10.16 | $i] : (sdtpldt0(xm, v0) = xp & aNaturalNumber0(v0) = 0 & $i(v0)) % 57.53/10.16 | % 57.53/10.16 | GROUND_INST: instantiating (44) with xn, xm, xp, all_43_0, simplifying with % 57.53/10.16 | (17), (18), (19), (33), (46) gives: % 57.53/10.16 | (60) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4: % 57.53/10.16 | $i] : ? [v5: $i] : ? [v6: any] : ? [v7: any] : ? [v8: any] : % 57.53/10.16 | (isPrime0(xp) = v3 & doDivides0(xp, xm) = v8 & doDivides0(xp, xn) = v7 % 57.53/10.16 | & iLess0(v5, all_47_0) = v6 & sdtpldt0(v4, xp) = v5 & sdtpldt0(xn, % 57.53/10.16 | xm) = v4 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v1 & % 57.53/10.16 | aNaturalNumber0(xn) = v0 & $i(v5) & $i(v4) & ( ~ (v6 = 0) | ~ (v3 = % 57.53/10.16 | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0)) % 57.53/10.16 | % 57.53/10.16 | GROUND_INST: instantiating (5) with xp, all_43_0, simplifying with (19), (46), % 57.53/10.16 | (47) gives: % 57.53/10.16 | (61) all_43_0 = sz00 | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 57.53/10.16 | (sdtlseqdt0(xp, all_43_0) = v2 & aNaturalNumber0(all_43_0) = v1 & % 57.53/10.16 | aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 57.53/10.16 | % 57.53/10.16 | GROUND_INST: instantiating (mDefDiv) with xp, all_43_0, 0, simplifying with % 57.53/10.16 | (19), (46), (47) gives: % 57.53/10.16 | (62) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(all_43_0) = v1 & % 57.53/10.16 | aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | ? [v0: % 57.53/10.16 | $i] : (sdtasdt0(xp, v0) = all_43_0 & aNaturalNumber0(v0) = 0 & % 57.53/10.16 | $i(v0)) % 57.53/10.16 | % 57.53/10.16 | GROUND_INST: instantiating (4) with xp, all_43_0, xk, simplifying with (19), % 57.53/10.16 | (34), (47) gives: % 57.64/10.16 | (63) xp = sz00 | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 57.64/10.16 | (doDivides0(xp, all_43_0) = v2 & aNaturalNumber0(all_43_0) = v1 & % 57.64/10.16 | aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = % 57.64/10.16 | 0))) | ( ! [v0: $i] : (v0 = xk | ~ (sdtasdt0(xp, v0) = % 57.64/10.16 | all_43_0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & % 57.64/10.16 | aNaturalNumber0(v0) = v1)) & ! [v0: $i] : ( ~ (sdtasdt0(xp, xk) % 57.64/10.16 | = v0) | ~ $i(xk) | (v0 = all_43_0 & aNaturalNumber0(xk) = 0))) % 57.64/10.16 | % 57.64/10.16 | GROUND_INST: instantiating (6) with xp, 0, simplifying with (19), (39) gives: % 57.64/10.17 | (64) ? [v0: int] : ( ~ (v0 = 0) & aNaturalNumber0(xp) = v0) | ( ~ (xp = % 57.64/10.17 | sz10) & ~ (xp = sz00) & ! [v0: $i] : (v0 = xp | v0 = sz10 | ~ % 57.64/10.17 | (doDivides0(v0, xp) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) % 57.64/10.17 | & aNaturalNumber0(v0) = v1))) % 57.64/10.17 | % 57.64/10.17 | DELTA: instantiating (57) with fresh symbols all_59_0, all_59_1, all_59_2 % 57.64/10.17 | gives: % 57.64/10.17 | (65) aNaturalNumber0(all_43_0) = all_59_0 & aNaturalNumber0(xm) = all_59_1 % 57.64/10.17 | & aNaturalNumber0(xn) = all_59_2 & ( ~ (all_59_1 = 0) | ~ (all_59_2 = % 57.64/10.17 | 0) | all_59_0 = 0) % 57.64/10.17 | % 57.64/10.17 | ALPHA: (65) implies: % 57.64/10.17 | (66) aNaturalNumber0(xn) = all_59_2 % 57.64/10.17 | (67) aNaturalNumber0(xm) = all_59_1 % 57.64/10.17 | (68) aNaturalNumber0(all_43_0) = all_59_0 % 57.64/10.17 | (69) ~ (all_59_1 = 0) | ~ (all_59_2 = 0) | all_59_0 = 0 % 57.64/10.17 | % 57.64/10.17 | DELTA: instantiating (55) with fresh symbols all_61_0, all_61_1, all_61_2 % 57.64/10.17 | gives: % 57.64/10.17 | (70) aNaturalNumber0(all_47_0) = all_61_0 & aNaturalNumber0(all_47_1) = % 57.64/10.17 | all_61_2 & aNaturalNumber0(xp) = all_61_1 & ( ~ (all_61_1 = 0) | ~ % 57.64/10.17 | (all_61_2 = 0) | all_61_0 = 0) % 57.64/10.17 | % 57.64/10.17 | ALPHA: (70) implies: % 57.64/10.17 | (71) aNaturalNumber0(xp) = all_61_1 % 57.64/10.17 | (72) aNaturalNumber0(all_47_1) = all_61_2 % 57.64/10.17 | % 57.64/10.17 | DELTA: instantiating (52) with fresh symbols all_63_0, all_63_1, all_63_2 % 57.64/10.17 | gives: % 57.64/10.17 | (73) aNaturalNumber0(all_47_1) = all_63_0 & aNaturalNumber0(xm) = all_63_1 % 57.64/10.17 | & aNaturalNumber0(xn) = all_63_2 & ( ~ (all_63_1 = 0) | ~ (all_63_2 = % 57.64/10.17 | 0) | all_63_0 = 0) % 57.64/10.17 | % 57.64/10.17 | ALPHA: (73) implies: % 57.64/10.17 | (74) aNaturalNumber0(xn) = all_63_2 % 57.64/10.17 | (75) aNaturalNumber0(xm) = all_63_1 % 57.64/10.17 | (76) aNaturalNumber0(all_47_1) = all_63_0 % 57.64/10.17 | (77) ~ (all_63_1 = 0) | ~ (all_63_2 = 0) | all_63_0 = 0 % 57.64/10.17 | % 57.64/10.17 | DELTA: instantiating (56) with fresh symbols all_65_0, all_65_1, all_65_2 % 57.64/10.17 | gives: % 57.64/10.17 | (78) sdtasdt0(xm, xn) = all_65_0 & aNaturalNumber0(xm) = all_65_1 & % 57.64/10.17 | aNaturalNumber0(xn) = all_65_2 & $i(all_65_0) & ( ~ (all_65_1 = 0) | % 57.64/10.17 | ~ (all_65_2 = 0) | all_65_0 = all_43_0) % 57.64/10.17 | % 57.64/10.17 | ALPHA: (78) implies: % 57.64/10.17 | (79) $i(all_65_0) % 57.64/10.17 | (80) aNaturalNumber0(xn) = all_65_2 % 57.64/10.17 | (81) aNaturalNumber0(xm) = all_65_1 % 57.64/10.17 | (82) sdtasdt0(xm, xn) = all_65_0 % 57.64/10.17 | (83) ~ (all_65_1 = 0) | ~ (all_65_2 = 0) | all_65_0 = all_43_0 % 57.64/10.17 | % 57.64/10.17 | DELTA: instantiating (51) with fresh symbols all_67_0, all_67_1, all_67_2 % 57.64/10.17 | gives: % 57.64/10.17 | (84) sdtpldt0(xm, xn) = all_67_0 & aNaturalNumber0(xm) = all_67_1 & % 57.64/10.17 | aNaturalNumber0(xn) = all_67_2 & $i(all_67_0) & ( ~ (all_67_1 = 0) | % 57.64/10.17 | ~ (all_67_2 = 0) | all_67_0 = all_47_1) % 57.64/10.17 | % 57.64/10.17 | ALPHA: (84) implies: % 57.64/10.17 | (85) $i(all_67_0) % 57.64/10.17 | (86) aNaturalNumber0(xn) = all_67_2 % 57.64/10.17 | (87) aNaturalNumber0(xm) = all_67_1 % 57.64/10.17 | (88) sdtpldt0(xm, xn) = all_67_0 % 57.64/10.17 | (89) ~ (all_67_1 = 0) | ~ (all_67_2 = 0) | all_67_0 = all_47_1 % 57.64/10.17 | % 57.64/10.17 | DELTA: instantiating (54) with fresh symbols all_69_0, all_69_1, all_69_2 % 57.64/10.17 | gives: % 57.64/10.17 | (90) sdtpldt0(xp, all_47_1) = all_69_0 & aNaturalNumber0(all_47_1) = % 57.64/10.17 | all_69_2 & aNaturalNumber0(xp) = all_69_1 & $i(all_69_0) & ( ~ % 57.64/10.17 | (all_69_1 = 0) | ~ (all_69_2 = 0) | all_69_0 = all_47_0) % 57.64/10.17 | % 57.64/10.17 | ALPHA: (90) implies: % 57.64/10.17 | (91) aNaturalNumber0(xp) = all_69_1 % 57.64/10.17 | (92) aNaturalNumber0(all_47_1) = all_69_2 % 57.64/10.17 | (93) sdtpldt0(xp, all_47_1) = all_69_0 % 57.64/10.17 | (94) ~ (all_69_1 = 0) | ~ (all_69_2 = 0) | all_69_0 = all_47_0 % 57.64/10.17 | % 57.64/10.17 | DELTA: instantiating (53) with fresh symbols all_71_0, all_71_1, all_71_2, % 57.64/10.17 | all_71_3, all_71_4 gives: % 57.64/10.17 | (95) sdtpldt0(xm, xp) = all_71_1 & sdtpldt0(xn, all_71_1) = all_71_0 & % 57.64/10.17 | aNaturalNumber0(xp) = all_71_2 & aNaturalNumber0(xm) = all_71_3 & % 57.64/10.17 | aNaturalNumber0(xn) = all_71_4 & $i(all_71_0) & $i(all_71_1) & ( ~ % 57.64/10.17 | (all_71_2 = 0) | ~ (all_71_3 = 0) | ~ (all_71_4 = 0) | all_71_0 = % 57.64/10.17 | all_47_0) % 57.64/10.17 | % 57.64/10.17 | ALPHA: (95) implies: % 57.64/10.17 | (96) $i(all_71_1) % 57.64/10.17 | (97) aNaturalNumber0(xn) = all_71_4 % 57.64/10.17 | (98) aNaturalNumber0(xm) = all_71_3 % 57.64/10.17 | (99) aNaturalNumber0(xp) = all_71_2 % 57.64/10.17 | (100) sdtpldt0(xn, all_71_1) = all_71_0 % 57.64/10.17 | (101) sdtpldt0(xm, xp) = all_71_1 % 57.64/10.17 | (102) ~ (all_71_2 = 0) | ~ (all_71_3 = 0) | ~ (all_71_4 = 0) | all_71_0 % 57.64/10.17 | = all_47_0 % 57.64/10.17 | % 57.64/10.17 | DELTA: instantiating (60) with fresh symbols all_73_0, all_73_1, all_73_2, % 57.64/10.17 | all_73_3, all_73_4, all_73_5, all_73_6, all_73_7, all_73_8 gives: % 57.64/10.17 | (103) isPrime0(xp) = all_73_5 & doDivides0(xp, xm) = all_73_0 & % 57.64/10.17 | doDivides0(xp, xn) = all_73_1 & iLess0(all_73_3, all_47_0) = all_73_2 % 57.64/10.17 | & sdtpldt0(all_73_4, xp) = all_73_3 & sdtpldt0(xn, xm) = all_73_4 & % 57.64/10.17 | aNaturalNumber0(xp) = all_73_6 & aNaturalNumber0(xm) = all_73_7 & % 57.64/10.17 | aNaturalNumber0(xn) = all_73_8 & $i(all_73_3) & $i(all_73_4) & ( ~ % 57.64/10.17 | (all_73_2 = 0) | ~ (all_73_5 = 0) | ~ (all_73_6 = 0) | ~ % 57.64/10.17 | (all_73_7 = 0) | ~ (all_73_8 = 0) | all_73_0 = 0 | all_73_1 = 0) % 57.64/10.17 | % 57.64/10.17 | ALPHA: (103) implies: % 57.64/10.18 | (104) aNaturalNumber0(xn) = all_73_8 % 57.64/10.18 | (105) aNaturalNumber0(xm) = all_73_7 % 57.64/10.18 | (106) aNaturalNumber0(xp) = all_73_6 % 57.64/10.18 | (107) sdtpldt0(xn, xm) = all_73_4 % 57.64/10.18 | (108) sdtpldt0(all_73_4, xp) = all_73_3 % 57.64/10.18 | (109) doDivides0(xp, xn) = all_73_1 % 57.64/10.18 | % 57.64/10.18 | GROUND_INST: instantiating (24) with all_63_2, all_65_2, xn, simplifying with % 57.64/10.18 | (74), (80) gives: % 57.64/10.18 | (110) all_65_2 = all_63_2 % 57.64/10.18 | % 57.64/10.18 | GROUND_INST: instantiating (24) with all_63_2, all_71_4, xn, simplifying with % 57.64/10.18 | (74), (97) gives: % 57.64/10.18 | (111) all_71_4 = all_63_2 % 57.64/10.18 | % 57.64/10.18 | GROUND_INST: instantiating (24) with all_59_2, all_71_4, xn, simplifying with % 57.64/10.18 | (66), (97) gives: % 57.64/10.18 | (112) all_71_4 = all_59_2 % 57.64/10.18 | % 57.64/10.18 | GROUND_INST: instantiating (24) with 0, all_73_8, xn, simplifying with (8), % 57.64/10.18 | (104) gives: % 57.64/10.18 | (113) all_73_8 = 0 % 57.64/10.18 | % 57.64/10.18 | GROUND_INST: instantiating (24) with all_67_2, all_73_8, xn, simplifying with % 57.64/10.18 | (86), (104) gives: % 57.64/10.18 | (114) all_73_8 = all_67_2 % 57.64/10.18 | % 57.64/10.18 | GROUND_INST: instantiating (24) with all_65_2, all_73_8, xn, simplifying with % 57.64/10.18 | (80), (104) gives: % 57.64/10.18 | (115) all_73_8 = all_65_2 % 57.64/10.18 | % 57.64/10.18 | GROUND_INST: instantiating (24) with 0, all_67_1, xm, simplifying with (9), % 57.64/10.18 | (87) gives: % 57.64/10.18 | (116) all_67_1 = 0 % 57.64/10.18 | % 57.64/10.18 | GROUND_INST: instantiating (24) with all_63_1, all_67_1, xm, simplifying with % 57.64/10.18 | (75), (87) gives: % 57.64/10.18 | (117) all_67_1 = all_63_1 % 57.64/10.18 | % 57.64/10.18 | GROUND_INST: instantiating (24) with all_63_1, all_71_3, xm, simplifying with % 57.64/10.18 | (75), (98) gives: % 57.64/10.18 | (118) all_71_3 = all_63_1 % 57.64/10.18 | % 57.64/10.18 | GROUND_INST: instantiating (24) with all_59_1, all_71_3, xm, simplifying with % 57.64/10.18 | (67), (98) gives: % 57.64/10.18 | (119) all_71_3 = all_59_1 % 57.64/10.18 | % 57.64/10.18 | GROUND_INST: instantiating (24) with all_67_1, all_73_7, xm, simplifying with % 57.64/10.18 | (87), (105) gives: % 57.64/10.18 | (120) all_73_7 = all_67_1 % 57.64/10.18 | % 57.64/10.18 | GROUND_INST: instantiating (24) with all_65_1, all_73_7, xm, simplifying with % 57.64/10.18 | (81), (105) gives: % 57.64/10.18 | (121) all_73_7 = all_65_1 % 57.64/10.18 | % 57.64/10.18 | GROUND_INST: instantiating (24) with 0, all_71_2, xp, simplifying with (10), % 57.64/10.18 | (99) gives: % 57.64/10.18 | (122) all_71_2 = 0 % 57.64/10.18 | % 57.64/10.18 | GROUND_INST: instantiating (24) with all_69_1, all_71_2, xp, simplifying with % 57.64/10.18 | (91), (99) gives: % 57.64/10.18 | (123) all_71_2 = all_69_1 % 57.64/10.18 | % 57.64/10.18 | GROUND_INST: instantiating (24) with all_69_1, all_73_6, xp, simplifying with % 57.64/10.18 | (91), (106) gives: % 57.64/10.18 | (124) all_73_6 = all_69_1 % 57.64/10.18 | % 57.64/10.18 | GROUND_INST: instantiating (24) with all_61_1, all_73_6, xp, simplifying with % 57.64/10.18 | (71), (106) gives: % 57.64/10.18 | (125) all_73_6 = all_61_1 % 57.64/10.18 | % 57.64/10.18 | GROUND_INST: instantiating (24) with all_63_0, all_69_2, all_47_1, simplifying % 57.64/10.18 | with (76), (92) gives: % 57.64/10.18 | (126) all_69_2 = all_63_0 % 57.64/10.18 | % 57.64/10.18 | GROUND_INST: instantiating (24) with all_61_2, all_69_2, all_47_1, simplifying % 57.64/10.18 | with (72), (92) gives: % 57.64/10.18 | (127) all_69_2 = all_61_2 % 57.64/10.18 | % 57.64/10.18 | GROUND_INST: instantiating (26) with all_47_1, all_73_4, xm, xn, simplifying % 57.64/10.18 | with (42), (107) gives: % 57.64/10.18 | (128) all_73_4 = all_47_1 % 57.64/10.18 | % 57.64/10.18 | COMBINE_EQS: (124), (125) imply: % 57.64/10.18 | (129) all_69_1 = all_61_1 % 57.64/10.18 | % 57.64/10.18 | SIMP: (129) implies: % 57.64/10.18 | (130) all_69_1 = all_61_1 % 57.64/10.18 | % 57.64/10.18 | COMBINE_EQS: (120), (121) imply: % 57.64/10.18 | (131) all_67_1 = all_65_1 % 57.64/10.18 | % 57.64/10.18 | SIMP: (131) implies: % 57.64/10.18 | (132) all_67_1 = all_65_1 % 57.64/10.18 | % 57.64/10.18 | COMBINE_EQS: (114), (115) imply: % 57.64/10.18 | (133) all_67_2 = all_65_2 % 57.64/10.18 | % 57.64/10.18 | COMBINE_EQS: (113), (114) imply: % 57.64/10.18 | (134) all_67_2 = 0 % 57.64/10.18 | % 57.64/10.18 | COMBINE_EQS: (122), (123) imply: % 57.64/10.18 | (135) all_69_1 = 0 % 57.64/10.18 | % 57.64/10.18 | SIMP: (135) implies: % 57.64/10.18 | (136) all_69_1 = 0 % 57.64/10.18 | % 57.64/10.18 | COMBINE_EQS: (118), (119) imply: % 57.64/10.18 | (137) all_63_1 = all_59_1 % 57.64/10.18 | % 57.64/10.18 | SIMP: (137) implies: % 57.64/10.18 | (138) all_63_1 = all_59_1 % 57.64/10.18 | % 57.64/10.18 | COMBINE_EQS: (111), (112) imply: % 57.64/10.18 | (139) all_63_2 = all_59_2 % 57.64/10.18 | % 57.64/10.18 | SIMP: (139) implies: % 57.64/10.18 | (140) all_63_2 = all_59_2 % 57.64/10.18 | % 57.64/10.18 | COMBINE_EQS: (130), (136) imply: % 57.64/10.18 | (141) all_61_1 = 0 % 57.64/10.18 | % 57.64/10.18 | SIMP: (141) implies: % 57.64/10.18 | (142) all_61_1 = 0 % 57.64/10.18 | % 57.64/10.18 | COMBINE_EQS: (126), (127) imply: % 57.64/10.18 | (143) all_63_0 = all_61_2 % 57.64/10.18 | % 57.64/10.18 | SIMP: (143) implies: % 57.64/10.18 | (144) all_63_0 = all_61_2 % 57.64/10.18 | % 57.64/10.18 | COMBINE_EQS: (116), (132) imply: % 57.64/10.18 | (145) all_65_1 = 0 % 57.64/10.18 | % 57.64/10.18 | COMBINE_EQS: (117), (132) imply: % 57.64/10.18 | (146) all_65_1 = all_63_1 % 57.64/10.18 | % 57.64/10.18 | COMBINE_EQS: (133), (134) imply: % 57.64/10.18 | (147) all_65_2 = 0 % 57.64/10.18 | % 57.64/10.18 | SIMP: (147) implies: % 57.64/10.18 | (148) all_65_2 = 0 % 57.64/10.18 | % 57.64/10.18 | COMBINE_EQS: (145), (146) imply: % 57.64/10.18 | (149) all_63_1 = 0 % 57.64/10.18 | % 57.64/10.18 | SIMP: (149) implies: % 57.64/10.18 | (150) all_63_1 = 0 % 57.64/10.18 | % 57.64/10.18 | COMBINE_EQS: (110), (148) imply: % 57.64/10.18 | (151) all_63_2 = 0 % 57.64/10.18 | % 57.64/10.18 | SIMP: (151) implies: % 57.64/10.19 | (152) all_63_2 = 0 % 57.64/10.19 | % 57.64/10.19 | COMBINE_EQS: (138), (150) imply: % 57.64/10.19 | (153) all_59_1 = 0 % 57.64/10.19 | % 57.64/10.19 | COMBINE_EQS: (140), (152) imply: % 57.64/10.19 | (154) all_59_2 = 0 % 57.64/10.19 | % 57.64/10.19 | SIMP: (154) implies: % 57.64/10.19 | (155) all_59_2 = 0 % 57.64/10.19 | % 57.64/10.19 | COMBINE_EQS: (112), (155) imply: % 57.64/10.19 | (156) all_71_4 = 0 % 57.64/10.19 | % 57.64/10.19 | COMBINE_EQS: (119), (153) imply: % 57.64/10.19 | (157) all_71_3 = 0 % 57.64/10.19 | % 57.64/10.19 | REDUCE: (108), (128) imply: % 57.64/10.19 | (158) sdtpldt0(all_47_1, xp) = all_73_3 % 57.64/10.19 | % 57.64/10.19 | BETA: splitting (64) gives: % 57.64/10.19 | % 57.64/10.19 | Case 1: % 57.64/10.19 | | % 57.64/10.19 | | (159) ? [v0: int] : ( ~ (v0 = 0) & aNaturalNumber0(xp) = v0) % 57.64/10.19 | | % 57.64/10.19 | | DELTA: instantiating (159) with fresh symbol all_87_0 gives: % 57.64/10.19 | | (160) ~ (all_87_0 = 0) & aNaturalNumber0(xp) = all_87_0 % 57.64/10.19 | | % 57.64/10.19 | | ALPHA: (160) implies: % 57.64/10.19 | | (161) ~ (all_87_0 = 0) % 57.64/10.19 | | (162) aNaturalNumber0(xp) = all_87_0 % 57.64/10.19 | | % 57.64/10.19 | | GROUND_INST: instantiating (24) with 0, all_87_0, xp, simplifying with (10), % 57.64/10.19 | | (162) gives: % 57.64/10.19 | | (163) all_87_0 = 0 % 57.64/10.19 | | % 57.64/10.19 | | REDUCE: (161), (163) imply: % 57.64/10.19 | | (164) $false % 57.64/10.19 | | % 57.64/10.19 | | CLOSE: (164) is inconsistent. % 57.64/10.19 | | % 57.64/10.19 | Case 2: % 57.64/10.19 | | % 57.64/10.19 | | (165) ~ (xp = sz10) & ~ (xp = sz00) & ! [v0: $i] : (v0 = xp | v0 = % 57.64/10.19 | | sz10 | ~ (doDivides0(v0, xp) = 0) | ~ $i(v0) | ? [v1: int] : ( % 57.64/10.19 | | ~ (v1 = 0) & aNaturalNumber0(v0) = v1)) % 57.64/10.19 | | % 57.64/10.19 | | ALPHA: (165) implies: % 57.64/10.19 | | (166) ~ (xp = sz00) % 57.64/10.19 | | (167) ~ (xp = sz10) % 57.64/10.19 | | (168) ! [v0: $i] : (v0 = xp | v0 = sz10 | ~ (doDivides0(v0, xp) = 0) | % 57.64/10.19 | | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = % 57.64/10.19 | | v1)) % 57.64/10.19 | | % 57.64/10.19 | | BETA: splitting (83) gives: % 57.64/10.19 | | % 57.64/10.19 | | Case 1: % 57.64/10.19 | | | % 57.64/10.19 | | | (169) ~ (all_65_1 = 0) % 57.64/10.19 | | | % 57.64/10.19 | | | REDUCE: (145), (169) imply: % 57.64/10.19 | | | (170) $false % 57.64/10.19 | | | % 57.64/10.19 | | | CLOSE: (170) is inconsistent. % 57.64/10.19 | | | % 57.64/10.19 | | Case 2: % 57.64/10.19 | | | % 57.64/10.19 | | | (171) ~ (all_65_2 = 0) | all_65_0 = all_43_0 % 57.64/10.19 | | | % 57.64/10.19 | | | BETA: splitting (69) gives: % 57.64/10.19 | | | % 57.64/10.19 | | | Case 1: % 57.64/10.19 | | | | % 57.64/10.19 | | | | (172) ~ (all_59_1 = 0) % 57.64/10.19 | | | | % 57.64/10.19 | | | | REDUCE: (153), (172) imply: % 57.64/10.19 | | | | (173) $false % 57.64/10.19 | | | | % 57.64/10.19 | | | | CLOSE: (173) is inconsistent. % 57.64/10.19 | | | | % 57.64/10.19 | | | Case 2: % 57.64/10.19 | | | | % 57.64/10.19 | | | | (174) ~ (all_59_2 = 0) | all_59_0 = 0 % 57.64/10.19 | | | | % 57.64/10.19 | | | | BETA: splitting (58) gives: % 57.64/10.19 | | | | % 57.64/10.19 | | | | Case 1: % 57.64/10.19 | | | | | % 57.64/10.19 | | | | | (175) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xp) = v1 & % 57.64/10.19 | | | | | aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 57.64/10.19 | | | | | % 57.64/10.19 | | | | | DELTA: instantiating (175) with fresh symbols all_109_0, all_109_1 % 57.64/10.19 | | | | | gives: % 57.64/10.19 | | | | | (176) aNaturalNumber0(xp) = all_109_0 & aNaturalNumber0(xn) = % 57.64/10.19 | | | | | all_109_1 & ( ~ (all_109_0 = 0) | ~ (all_109_1 = 0)) % 57.64/10.19 | | | | | % 57.64/10.19 | | | | | ALPHA: (176) implies: % 57.64/10.19 | | | | | (177) aNaturalNumber0(xn) = all_109_1 % 57.64/10.19 | | | | | (178) aNaturalNumber0(xp) = all_109_0 % 57.64/10.19 | | | | | (179) ~ (all_109_0 = 0) | ~ (all_109_1 = 0) % 57.64/10.19 | | | | | % 57.64/10.19 | | | | | GROUND_INST: instantiating (24) with 0, all_109_1, xn, simplifying % 57.64/10.19 | | | | | with (8), (177) gives: % 57.64/10.19 | | | | | (180) all_109_1 = 0 % 57.64/10.19 | | | | | % 57.64/10.19 | | | | | GROUND_INST: instantiating (24) with 0, all_109_0, xp, simplifying % 57.64/10.19 | | | | | with (10), (178) gives: % 57.64/10.19 | | | | | (181) all_109_0 = 0 % 57.64/10.19 | | | | | % 57.64/10.19 | | | | | BETA: splitting (179) gives: % 57.64/10.19 | | | | | % 57.64/10.19 | | | | | Case 1: % 57.64/10.19 | | | | | | % 57.64/10.19 | | | | | | (182) ~ (all_109_0 = 0) % 57.64/10.19 | | | | | | % 57.64/10.19 | | | | | | REDUCE: (181), (182) imply: % 57.64/10.19 | | | | | | (183) $false % 57.64/10.19 | | | | | | % 57.64/10.19 | | | | | | CLOSE: (183) is inconsistent. % 57.64/10.19 | | | | | | % 57.64/10.19 | | | | | Case 2: % 57.64/10.19 | | | | | | % 57.64/10.19 | | | | | | (184) ~ (all_109_1 = 0) % 57.64/10.19 | | | | | | % 57.64/10.19 | | | | | | REDUCE: (180), (184) imply: % 57.64/10.19 | | | | | | (185) $false % 57.64/10.19 | | | | | | % 57.64/10.19 | | | | | | CLOSE: (185) is inconsistent. % 57.64/10.19 | | | | | | % 57.64/10.19 | | | | | End of split % 57.64/10.19 | | | | | % 57.64/10.19 | | | | Case 2: % 57.64/10.19 | | | | | % 57.64/10.19 | | | | | (186) ? [v0: $i] : (sdtpldt0(xn, v0) = xp & aNaturalNumber0(v0) = % 57.64/10.19 | | | | | 0 & $i(v0)) % 57.64/10.19 | | | | | % 57.64/10.19 | | | | | DELTA: instantiating (186) with fresh symbol all_109_0 gives: % 57.64/10.19 | | | | | (187) sdtpldt0(xn, all_109_0) = xp & aNaturalNumber0(all_109_0) = 0 % 57.64/10.19 | | | | | & $i(all_109_0) % 57.64/10.19 | | | | | % 57.64/10.19 | | | | | ALPHA: (187) implies: % 57.64/10.19 | | | | | (188) $i(all_109_0) % 57.64/10.19 | | | | | (189) aNaturalNumber0(all_109_0) = 0 % 57.64/10.19 | | | | | (190) sdtpldt0(xn, all_109_0) = xp % 57.64/10.19 | | | | | % 57.64/10.19 | | | | | BETA: splitting (171) gives: % 57.64/10.19 | | | | | % 57.64/10.19 | | | | | Case 1: % 57.64/10.19 | | | | | | % 57.64/10.19 | | | | | | (191) ~ (all_65_2 = 0) % 57.64/10.19 | | | | | | % 57.64/10.19 | | | | | | REDUCE: (148), (191) imply: % 57.64/10.19 | | | | | | (192) $false % 57.64/10.19 | | | | | | % 57.64/10.19 | | | | | | CLOSE: (192) is inconsistent. % 57.64/10.19 | | | | | | % 57.64/10.19 | | | | | Case 2: % 57.64/10.19 | | | | | | % 57.64/10.19 | | | | | | (193) all_65_0 = all_43_0 % 57.64/10.19 | | | | | | % 57.64/10.19 | | | | | | REDUCE: (82), (193) imply: % 57.64/10.20 | | | | | | (194) sdtasdt0(xm, xn) = all_43_0 % 57.64/10.20 | | | | | | % 57.64/10.20 | | | | | | BETA: splitting (50) gives: % 57.64/10.20 | | | | | | % 57.64/10.20 | | | | | | Case 1: % 57.64/10.20 | | | | | | | % 57.64/10.20 | | | | | | | (195) xp = sz00 % 57.64/10.20 | | | | | | | % 57.64/10.20 | | | | | | | REDUCE: (166), (195) imply: % 57.64/10.20 | | | | | | | (196) $false % 57.64/10.20 | | | | | | | % 57.64/10.20 | | | | | | | CLOSE: (196) is inconsistent. % 57.64/10.20 | | | | | | | % 57.64/10.20 | | | | | | Case 2: % 57.64/10.20 | | | | | | | % 57.64/10.20 | | | | | | | (197) xp = sz10 | ? [v0: $i] : (isPrime0(v0) = 0 & % 57.64/10.20 | | | | | | | doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0 & % 57.64/10.20 | | | | | | | $i(v0)) % 57.64/10.20 | | | | | | | % 57.64/10.20 | | | | | | | BETA: splitting (77) gives: % 57.64/10.20 | | | | | | | % 57.64/10.20 | | | | | | | Case 1: % 57.64/10.20 | | | | | | | | % 57.64/10.20 | | | | | | | | (198) ~ (all_63_1 = 0) % 57.64/10.20 | | | | | | | | % 57.64/10.20 | | | | | | | | REDUCE: (150), (198) imply: % 57.64/10.20 | | | | | | | | (199) $false % 57.64/10.20 | | | | | | | | % 57.64/10.20 | | | | | | | | CLOSE: (199) is inconsistent. % 57.64/10.20 | | | | | | | | % 57.64/10.20 | | | | | | | Case 2: % 57.64/10.20 | | | | | | | | % 57.64/10.20 | | | | | | | | (200) ~ (all_63_2 = 0) | all_63_0 = 0 % 57.64/10.20 | | | | | | | | % 57.64/10.20 | | | | | | | | BETA: splitting (102) gives: % 57.64/10.20 | | | | | | | | % 57.64/10.20 | | | | | | | | Case 1: % 57.64/10.20 | | | | | | | | | % 57.64/10.20 | | | | | | | | | (201) ~ (all_71_2 = 0) % 57.64/10.20 | | | | | | | | | % 57.64/10.20 | | | | | | | | | REDUCE: (122), (201) imply: % 57.64/10.20 | | | | | | | | | (202) $false % 57.64/10.20 | | | | | | | | | % 57.64/10.20 | | | | | | | | | CLOSE: (202) is inconsistent. % 57.64/10.20 | | | | | | | | | % 57.64/10.20 | | | | | | | | Case 2: % 57.64/10.20 | | | | | | | | | % 57.64/10.20 | | | | | | | | | (203) ~ (all_71_3 = 0) | ~ (all_71_4 = 0) | all_71_0 = % 57.64/10.20 | | | | | | | | | all_47_0 % 57.64/10.20 | | | | | | | | | % 57.64/10.20 | | | | | | | | | BETA: splitting (59) gives: % 57.64/10.20 | | | | | | | | | % 57.64/10.20 | | | | | | | | | Case 1: % 57.64/10.20 | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | (204) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xp) % 57.64/10.20 | | | | | | | | | | = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | % 57.64/10.20 | | | | | | | | | | ~ (v0 = 0))) % 57.64/10.20 | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | DELTA: instantiating (204) with fresh symbols all_136_0, % 57.64/10.20 | | | | | | | | | | all_136_1 gives: % 57.64/10.20 | | | | | | | | | | (205) aNaturalNumber0(xp) = all_136_0 & % 57.64/10.20 | | | | | | | | | | aNaturalNumber0(xm) = all_136_1 & ( ~ (all_136_0 = % 57.64/10.20 | | | | | | | | | | 0) | ~ (all_136_1 = 0)) % 57.64/10.20 | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | ALPHA: (205) implies: % 57.64/10.20 | | | | | | | | | | (206) aNaturalNumber0(xm) = all_136_1 % 57.64/10.20 | | | | | | | | | | (207) aNaturalNumber0(xp) = all_136_0 % 57.64/10.20 | | | | | | | | | | (208) ~ (all_136_0 = 0) | ~ (all_136_1 = 0) % 57.64/10.20 | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_136_1, xm, % 57.64/10.20 | | | | | | | | | | simplifying with (9), (206) gives: % 57.64/10.20 | | | | | | | | | | (209) all_136_1 = 0 % 57.64/10.20 | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_136_0, xp, % 57.64/10.20 | | | | | | | | | | simplifying with (10), (207) gives: % 57.64/10.20 | | | | | | | | | | (210) all_136_0 = 0 % 57.64/10.20 | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | BETA: splitting (208) gives: % 57.64/10.20 | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | Case 1: % 57.64/10.20 | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | (211) ~ (all_136_0 = 0) % 57.64/10.20 | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | REDUCE: (210), (211) imply: % 57.64/10.20 | | | | | | | | | | | (212) $false % 57.64/10.20 | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | CLOSE: (212) is inconsistent. % 57.64/10.20 | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | Case 2: % 57.64/10.20 | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | (213) ~ (all_136_1 = 0) % 57.64/10.20 | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | REDUCE: (209), (213) imply: % 57.64/10.20 | | | | | | | | | | | (214) $false % 57.64/10.20 | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | CLOSE: (214) is inconsistent. % 57.64/10.20 | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | End of split % 57.64/10.20 | | | | | | | | | | % 57.64/10.20 | | | | | | | | | Case 2: % 57.64/10.20 | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | (215) ? [v0: $i] : (sdtpldt0(xm, v0) = xp & % 57.64/10.20 | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0)) % 57.64/10.20 | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | DELTA: instantiating (215) with fresh symbol all_136_0 % 57.64/10.20 | | | | | | | | | | gives: % 57.64/10.20 | | | | | | | | | | (216) sdtpldt0(xm, all_136_0) = xp & % 57.64/10.20 | | | | | | | | | | aNaturalNumber0(all_136_0) = 0 & $i(all_136_0) % 57.64/10.20 | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | ALPHA: (216) implies: % 57.64/10.20 | | | | | | | | | | (217) $i(all_136_0) % 57.64/10.20 | | | | | | | | | | (218) aNaturalNumber0(all_136_0) = 0 % 57.64/10.20 | | | | | | | | | | (219) sdtpldt0(xm, all_136_0) = xp % 57.64/10.20 | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | BETA: splitting (197) gives: % 57.64/10.20 | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | Case 1: % 57.64/10.20 | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | (220) xp = sz10 % 57.64/10.20 | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | REDUCE: (167), (220) imply: % 57.64/10.20 | | | | | | | | | | | (221) $false % 57.64/10.20 | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | CLOSE: (221) is inconsistent. % 57.64/10.20 | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | Case 2: % 57.64/10.20 | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | (222) ? [v0: $i] : (isPrime0(v0) = 0 & doDivides0(v0, % 57.64/10.20 | | | | | | | | | | | xp) = 0 & aNaturalNumber0(v0) = 0 & $i(v0)) % 57.64/10.20 | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | DELTA: instantiating (222) with fresh symbol all_141_0 % 57.64/10.20 | | | | | | | | | | | gives: % 57.64/10.20 | | | | | | | | | | | (223) isPrime0(all_141_0) = 0 & doDivides0(all_141_0, % 57.64/10.20 | | | | | | | | | | | xp) = 0 & aNaturalNumber0(all_141_0) = 0 & % 57.64/10.20 | | | | | | | | | | | $i(all_141_0) % 57.64/10.20 | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | ALPHA: (223) implies: % 57.64/10.20 | | | | | | | | | | | (224) $i(all_141_0) % 57.64/10.20 | | | | | | | | | | | (225) aNaturalNumber0(all_141_0) = 0 % 57.64/10.20 | | | | | | | | | | | (226) doDivides0(all_141_0, xp) = 0 % 57.64/10.20 | | | | | | | | | | | (227) isPrime0(all_141_0) = 0 % 57.64/10.20 | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | BETA: splitting (89) gives: % 57.64/10.20 | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | Case 1: % 57.64/10.20 | | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | | (228) ~ (all_67_1 = 0) % 57.64/10.20 | | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | | REDUCE: (116), (228) imply: % 57.64/10.20 | | | | | | | | | | | | (229) $false % 57.64/10.20 | | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | | CLOSE: (229) is inconsistent. % 57.64/10.20 | | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | Case 2: % 57.64/10.20 | | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | | (230) ~ (all_67_2 = 0) | all_67_0 = all_47_1 % 57.64/10.20 | | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | | BETA: splitting (174) gives: % 57.64/10.20 | | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | | Case 1: % 57.64/10.20 | | | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | | | (231) ~ (all_59_2 = 0) % 57.64/10.20 | | | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | | | REDUCE: (155), (231) imply: % 57.64/10.20 | | | | | | | | | | | | | (232) $false % 57.64/10.20 | | | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | | | CLOSE: (232) is inconsistent. % 57.64/10.20 | | | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | | Case 2: % 57.64/10.20 | | | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | | | (233) all_59_0 = 0 % 57.64/10.20 | | | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | | | REDUCE: (68), (233) imply: % 57.64/10.20 | | | | | | | | | | | | | (234) aNaturalNumber0(all_43_0) = 0 % 57.64/10.20 | | | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | | | BETA: splitting (203) gives: % 57.64/10.20 | | | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | | | Case 1: % 57.64/10.20 | | | | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | | | | (235) ~ (all_71_3 = 0) % 57.64/10.20 | | | | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | | | | REDUCE: (157), (235) imply: % 57.64/10.20 | | | | | | | | | | | | | | (236) $false % 57.64/10.20 | | | | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | | | | CLOSE: (236) is inconsistent. % 57.64/10.20 | | | | | | | | | | | | | | % 57.64/10.20 | | | | | | | | | | | | | Case 2: % 57.64/10.20 | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | (237) ~ (all_71_4 = 0) | all_71_0 = all_47_0 % 57.64/10.21 | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | BETA: splitting (62) gives: % 57.64/10.21 | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | Case 1: % 57.64/10.21 | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | (238) ? [v0: any] : ? [v1: any] : % 57.64/10.21 | | | | | | | | | | | | | | | (aNaturalNumber0(all_43_0) = v1 & % 57.64/10.21 | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 % 57.64/10.21 | | | | | | | | | | | | | | | = 0))) % 57.64/10.21 | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | DELTA: instantiating (238) with fresh symbols all_160_0, % 57.64/10.21 | | | | | | | | | | | | | | | all_160_1 gives: % 57.64/10.21 | | | | | | | | | | | | | | | (239) aNaturalNumber0(all_43_0) = all_160_0 & % 57.64/10.21 | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_160_1 & ( ~ (all_160_0 = % 57.64/10.21 | | | | | | | | | | | | | | | 0) | ~ (all_160_1 = 0)) % 57.64/10.21 | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | ALPHA: (239) implies: % 57.64/10.21 | | | | | | | | | | | | | | | (240) aNaturalNumber0(xp) = all_160_1 % 57.64/10.21 | | | | | | | | | | | | | | | (241) aNaturalNumber0(all_43_0) = all_160_0 % 57.64/10.21 | | | | | | | | | | | | | | | (242) ~ (all_160_0 = 0) | ~ (all_160_1 = 0) % 57.64/10.21 | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_160_1, xp, % 57.64/10.21 | | | | | | | | | | | | | | | simplifying with (10), (240) gives: % 57.64/10.21 | | | | | | | | | | | | | | | (243) all_160_1 = 0 % 57.64/10.21 | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_160_0, all_43_0, % 57.64/10.21 | | | | | | | | | | | | | | | simplifying with (234), (241) gives: % 57.64/10.21 | | | | | | | | | | | | | | | (244) all_160_0 = 0 % 57.64/10.21 | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | BETA: splitting (242) gives: % 57.64/10.21 | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | Case 1: % 57.64/10.21 | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | (245) ~ (all_160_0 = 0) % 57.64/10.21 | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | REDUCE: (244), (245) imply: % 57.64/10.21 | | | | | | | | | | | | | | | | (246) $false % 57.64/10.21 | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | CLOSE: (246) is inconsistent. % 57.64/10.21 | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | Case 2: % 57.64/10.21 | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | (247) ~ (all_160_1 = 0) % 57.64/10.21 | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | REDUCE: (243), (247) imply: % 57.64/10.21 | | | | | | | | | | | | | | | | (248) $false % 57.64/10.21 | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | CLOSE: (248) is inconsistent. % 57.64/10.21 | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | End of split % 57.64/10.21 | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | Case 2: % 57.64/10.21 | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | (249) ? [v0: $i] : (sdtasdt0(xp, v0) = all_43_0 & % 57.64/10.21 | | | | | | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0)) % 57.64/10.21 | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | DELTA: instantiating (249) with fresh symbol all_160_0 % 57.64/10.21 | | | | | | | | | | | | | | | gives: % 57.64/10.21 | | | | | | | | | | | | | | | (250) sdtasdt0(xp, all_160_0) = all_43_0 & % 57.64/10.21 | | | | | | | | | | | | | | | aNaturalNumber0(all_160_0) = 0 & $i(all_160_0) % 57.64/10.21 | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | ALPHA: (250) implies: % 57.64/10.21 | | | | | | | | | | | | | | | (251) $i(all_160_0) % 57.64/10.21 | | | | | | | | | | | | | | | (252) aNaturalNumber0(all_160_0) = 0 % 57.64/10.21 | | | | | | | | | | | | | | | (253) sdtasdt0(xp, all_160_0) = all_43_0 % 57.64/10.21 | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | BETA: splitting (237) gives: % 57.64/10.21 | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | Case 1: % 57.64/10.21 | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | (254) ~ (all_71_4 = 0) % 57.64/10.21 | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | REDUCE: (156), (254) imply: % 57.64/10.21 | | | | | | | | | | | | | | | | (255) $false % 57.64/10.21 | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | CLOSE: (255) is inconsistent. % 57.64/10.21 | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | Case 2: % 57.64/10.21 | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | (256) all_71_0 = all_47_0 % 57.64/10.21 | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | REDUCE: (100), (256) imply: % 57.64/10.21 | | | | | | | | | | | | | | | | (257) sdtpldt0(xn, all_71_1) = all_47_0 % 57.64/10.21 | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | BETA: splitting (200) gives: % 57.64/10.21 | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | Case 1: % 57.64/10.21 | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | (258) ~ (all_63_2 = 0) % 57.64/10.21 | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | REDUCE: (152), (258) imply: % 57.64/10.21 | | | | | | | | | | | | | | | | | (259) $false % 57.64/10.21 | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | CLOSE: (259) is inconsistent. % 57.64/10.21 | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | Case 2: % 57.64/10.21 | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | (260) all_63_0 = 0 % 57.64/10.21 | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | COMBINE_EQS: (144), (260) imply: % 57.64/10.21 | | | | | | | | | | | | | | | | | (261) all_61_2 = 0 % 57.64/10.21 | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | SIMP: (261) implies: % 57.64/10.21 | | | | | | | | | | | | | | | | | (262) all_61_2 = 0 % 57.64/10.21 | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | COMBINE_EQS: (127), (262) imply: % 57.64/10.21 | | | | | | | | | | | | | | | | | (263) all_69_2 = 0 % 57.64/10.21 | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | REDUCE: (72), (262) imply: % 57.64/10.21 | | | | | | | | | | | | | | | | | (264) aNaturalNumber0(all_47_1) = 0 % 57.64/10.21 | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | BETA: splitting (63) gives: % 57.64/10.21 | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.21 | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | (265) xp = sz00 % 57.64/10.21 | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | REDUCE: (166), (265) imply: % 57.64/10.21 | | | | | | | | | | | | | | | | | | (266) $false % 57.64/10.21 | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | CLOSE: (266) is inconsistent. % 57.64/10.21 | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.21 | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | (267) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 57.64/10.21 | | | | | | | | | | | | | | | | | | (doDivides0(xp, all_43_0) = v2 & % 57.64/10.21 | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_43_0) = v1 & % 57.64/10.21 | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 % 57.64/10.21 | | | | | | | | | | | | | | | | | | = 0) | ~ (v0 = 0))) | ( ! [v0: $i] : (v0 = % 57.64/10.21 | | | | | | | | | | | | | | | | | | xk | ~ (sdtasdt0(xp, v0) = all_43_0) | ~ % 57.64/10.21 | | | | | | | | | | | | | | | | | | $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & % 57.64/10.21 | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = v1)) & ! [v0: $i] : ( % 57.64/10.21 | | | | | | | | | | | | | | | | | | ~ (sdtasdt0(xp, xk) = v0) | ~ $i(xk) | (v0 = % 57.64/10.21 | | | | | | | | | | | | | | | | | | all_43_0 & aNaturalNumber0(xk) = 0))) % 57.64/10.21 | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives: % 57.64/10.21 | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.21 | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | (268) ~ (all_67_2 = 0) % 57.64/10.21 | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | REDUCE: (134), (268) imply: % 57.64/10.21 | | | | | | | | | | | | | | | | | | | (269) $false % 57.64/10.21 | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | CLOSE: (269) is inconsistent. % 57.64/10.21 | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.21 | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | (270) all_67_0 = all_47_1 % 57.64/10.21 | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | REDUCE: (88), (270) imply: % 57.64/10.21 | | | | | | | | | | | | | | | | | | | (271) sdtpldt0(xm, xn) = all_47_1 % 57.64/10.21 | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives: % 57.64/10.21 | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | (272) ~ (all_69_1 = 0) % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (272) imply: % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | (273) $false % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | CLOSE: (273) is inconsistent. % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | (274) ~ (all_69_2 = 0) | all_69_0 = all_47_0 % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives: % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | (275) ~ (all_69_2 = 0) % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | REDUCE: (263), (275) imply: % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | (276) $false % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | CLOSE: (276) is inconsistent. % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | (277) all_69_0 = all_47_0 % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (277) imply: % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | (278) sdtpldt0(xp, all_47_1) = all_47_0 % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives: % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | | (279) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | | (doDivides0(xp, all_43_0) = v2 & % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_43_0) = v1 & % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v0 = 0))) % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (279) with fresh symbols all_203_0, % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | | all_203_1, all_203_2 gives: % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | | (280) doDivides0(xp, all_43_0) = all_203_0 & % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_43_0) = all_203_1 & % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_203_2 & ( ~ (all_203_0 = % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_203_1 = 0) | ~ (all_203_2 = 0)) % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.21 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (280) implies: % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (281) aNaturalNumber0(xp) = all_203_2 % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (282) aNaturalNumber0(all_43_0) = all_203_1 % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (283) doDivides0(xp, all_43_0) = all_203_0 % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (284) ~ (all_203_0 = 0) | ~ (all_203_1 = 0) | ~ % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (all_203_2 = 0) % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_203_2, xp, % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (281) gives: % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (285) all_203_2 = 0 % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_203_1, all_43_0, % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | simplifying with (234), (282) gives: % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (286) all_203_1 = 0 % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with 0, all_203_0, all_43_0, % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | xp, simplifying with (46), (283) gives: % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (287) all_203_0 = 0 % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives: % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | (288) ~ (all_203_0 = 0) % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (287), (288) imply: % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | (289) $false % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (289) is inconsistent. % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | (290) ~ (all_203_1 = 0) | ~ (all_203_2 = 0) % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives: % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | | (291) ~ (all_203_1 = 0) % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (291) imply: % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | | (292) $false % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (292) is inconsistent. % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | | (293) ~ (all_203_2 = 0) % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (293) imply: % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | | (294) $false % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (294) is inconsistent. % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | End of split % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | End of split % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (295) ! [v0: $i] : (v0 = xk | ~ (sdtasdt0(xp, v0) = % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | all_43_0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | = 0) & aNaturalNumber0(v0) = v1)) & ! [v0: % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | $i] : ( ~ (sdtasdt0(xp, xk) = v0) | ~ $i(xk) | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (v0 = all_43_0 & aNaturalNumber0(xk) = 0)) % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (295) implies: % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (296) ! [v0: $i] : (v0 = xk | ~ (sdtasdt0(xp, v0) = % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | all_43_0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | = 0) & aNaturalNumber0(v0) = v1)) % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_47_0, all_73_3, xp, % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | all_47_1, simplifying with (43), (158) gives: % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (297) all_73_3 = all_47_0 % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_141_0, simplifying with % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (224), (225) gives: % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (298) all_141_0 = sz10 | all_141_0 = sz00 | ? [v0: $i] % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | : (isPrime0(v0) = 0 & doDivides0(v0, all_141_0) = % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | 0 & aNaturalNumber0(v0) = 0 & $i(v0)) % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_160_0, simplifying with % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (251), (252) gives: % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (299) all_160_0 = sz10 | all_160_0 = sz00 | ? [v0: $i] % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | : (isPrime0(v0) = 0 & doDivides0(v0, all_160_0) = % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | 0 & aNaturalNumber0(v0) = 0 & $i(v0)) % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddComm) with xn, all_71_1, % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | all_47_0, simplifying with (17), (96), (257) % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | gives: % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (300) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (sdtpldt0(all_71_1, xn) = v2 & % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_71_1) = v1 & % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = v0 & $i(v2) & ( ~ (v1 = 0) % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = all_47_0)) % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB) with xn, all_71_1, % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | all_47_0, simplifying with (17), (96), (257) % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | gives: % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (301) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_71_1) = v1 & % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_47_0) = v2 & % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0)) % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddComm) with xn, all_109_0, xp, % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | simplifying with (17), (188), (190) gives: % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (302) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (sdtpldt0(all_109_0, xn) = v2 & % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_109_0) = v1 & % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = v0 & $i(v2) & ( ~ (v1 = 0) % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = xp)) % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddAsso) with xm, xn, xp, % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | all_47_1, all_47_0, simplifying with (17), (18), % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (19), (43), (271) gives: % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (303) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(xm, v3) = v4 & % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xn, xp) = v3 & aNaturalNumber0(xp) = v2 % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | = v1 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v4 = all_47_0)) % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddCanc) with xm, xn, xp, % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | all_47_1, all_71_1, simplifying with (17), (18), % 57.64/10.22 | | | | | | | | | | | | | | | | | | | | | | (19), (101), (271) gives: % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (304) xp = xn | ? [v0: any] : ? [v1: any] : ? [v2: % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | any] : ? [v3: $i] : ? [v4: $i] : (sdtpldt0(xp, % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | xm) = v4 & sdtpldt0(xn, xm) = v3 & % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | v0 & aNaturalNumber0(xn) = v1 & $i(v4) & $i(v3) % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (v4 = v3) & ~ (all_71_1 = all_47_1)))) % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddCanc) with xm, xp, xn, % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | all_71_1, all_47_1, simplifying with (17), (18), % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (19), (101), (271) gives: % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (305) xp = xn | ? [v0: any] : ? [v1: any] : ? [v2: % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | any] : ? [v3: $i] : ? [v4: $i] : (sdtpldt0(xp, % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | xm) = v3 & sdtpldt0(xn, xm) = v4 & % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v1 & aNaturalNumber0(xm) = % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | v0 & aNaturalNumber0(xn) = v2 & $i(v4) & $i(v3) % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (v4 = v3) & ~ (all_71_1 = all_47_1)))) % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddComm) with xm, xp, all_71_1, % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (19), (101) gives: % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (306) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (sdtpldt0(xp, xm) = v2 & aNaturalNumber0(xp) = v1 % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(xm) = v0 & $i(v2) & ( ~ (v1 = % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v2 = all_71_1)) % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB) with xm, xp, all_71_1, % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (19), (101) gives: % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (307) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_71_1) = v2 & % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v1 & aNaturalNumber0(xm) = % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddComm) with xm, all_136_0, xp, % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (217), (219) gives: % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (308) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (sdtpldt0(all_136_0, xm) = v2 & % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_136_0) = v1 & % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v0 & $i(v2) & ( ~ (v1 = 0) % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = xp)) % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddAsso) with xm, all_136_0, % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | all_47_1, xp, all_47_0, simplifying with (18), % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (41), (217), (219), (278) gives: % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (309) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(all_136_0, % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | all_47_1) = v3 & sdtpldt0(xm, v3) = v4 & % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_136_0) = v1 & % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_47_1) = v2 & % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v0 & $i(v4) & $i(v3) & ( ~ % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | all_47_0)) % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddAsso) with xn, all_109_0, % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | all_47_1, xp, all_47_0, simplifying with (17), % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (41), (188), (190), (278) gives: % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (310) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(all_109_0, % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | all_47_1) = v3 & sdtpldt0(xn, v3) = v4 & % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_109_0) = v1 & % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_47_1) = v2 & % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = v0 & $i(v4) & $i(v3) & ( ~ % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | all_47_0)) % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (44) with xm, xn, xp, all_43_0, % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | simplifying with (17), (18), (19), (46), (194) % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | gives: % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (311) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : ? [v8: any] : % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (isPrime0(xp) = v3 & doDivides0(xp, xm) = v7 & % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | doDivides0(xp, xn) = v8 & iLess0(v5, all_47_0) = % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | v6 & sdtpldt0(v4, xp) = v5 & sdtpldt0(xm, xn) = % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | v4 & aNaturalNumber0(xp) = v2 & % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) = % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | v1 & $i(v5) & $i(v4) & ( ~ (v6 = 0) | ~ (v3 = % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | | v8 = 0 | v7 = 0)) % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (44) with xp, all_160_0, xp, % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | all_43_0, simplifying with (19), (46), (251), % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (253) gives: % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (312) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : ? [v8: any] : % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (isPrime0(xp) = v3 & doDivides0(xp, all_160_0) = % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | v8 & doDivides0(xp, xp) = v7 & iLess0(v5, % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | all_47_0) = v6 & sdtpldt0(v4, xp) = v5 & % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xp, all_160_0) = v4 & % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_160_0) = v1 & % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v2 & aNaturalNumber0(xp) = % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | v0 & $i(v5) & $i(v4) & ( ~ (v6 = 0) | ~ (v3 = % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | | v8 = 0 | v7 = 0)) % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (296) with all_160_0, simplifying % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | with (251), (253) gives: % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (313) all_160_0 = xk | ? [v0: int] : ( ~ (v0 = 0) & % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_160_0) = v0) % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xp, all_160_0, % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | all_43_0, simplifying with (19), (251), (253) % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | gives: % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (314) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_160_0, xp) = v2 & % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_160_0) = v1 & % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & $i(v2) & ( ~ (v1 = 0) % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = all_43_0)) % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mDefDiv) with xp, xn, all_73_1, % 57.64/10.23 | | | | | | | | | | | | | | | | | | | | | | simplifying with (17), (19), (109) gives: % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | (315) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xp) % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0))) | (( ~ (all_73_1 = 0) | ? [v0: % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | $i] : (sdtasdt0(xp, v0) = xn & % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0))) & % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | (all_73_1 = 0 | ! [v0: $i] : ( ~ (sdtasdt0(xp, % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | v0) = xn) | ~ $i(v0) | ? [v1: int] : ( % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) & aNaturalNumber0(v0) = v1)))) % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mDivMin) with all_141_0, xm, % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | all_136_0, xp, simplifying with (18), (217), % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | (219), (224), (226) gives: % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | (316) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (doDivides0(all_141_0, % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | all_136_0) = v4 & doDivides0(all_141_0, xm) = % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | v3 & aNaturalNumber0(all_141_0) = v0 & % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_136_0) = v2 & % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v1 & ( ~ (v3 = 0) | ~ (v2 % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0)) % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mDivMin) with all_141_0, xn, % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | all_109_0, xp, simplifying with (17), (188), % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | (190), (224), (226) gives: % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | (317) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (doDivides0(all_141_0, % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | all_109_0) = v4 & doDivides0(all_141_0, xn) = % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | v3 & aNaturalNumber0(all_141_0) = v0 & % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_109_0) = v2 & % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = v1 & ( ~ (v3 = 0) | ~ (v2 % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0)) % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (168) with all_141_0, simplifying % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | with (224), (226) gives: % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | (318) all_141_0 = xp | all_141_0 = sz10 | ? [v0: int] : % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) & aNaturalNumber0(all_141_0) = v0) % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_141_0, xp, simplifying % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | with (19), (224), (226) gives: % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | (319) xp = sz00 | ? [v0: any] : ? [v1: any] : ? [v2: % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | any] : (sdtlseqdt0(all_141_0, xp) = v2 & % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_141_0) = v0 & % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0)) % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_141_0, 0, simplifying % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | with (224), (227) gives: % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | (320) ? [v0: int] : ( ~ (v0 = 0) & % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_141_0) = v0) | ( ~ % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | (all_141_0 = sz10) & ~ (all_141_0 = sz00) & ! % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | [v0: any] : (v0 = all_141_0 | v0 = sz10 | ~ % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | (doDivides0(v0, all_141_0) = 0) | ~ $i(v0) | % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | ? [v1: int] : ( ~ (v1 = 0) & % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = v1))) % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (307) with fresh symbols all_212_0, % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | all_212_1, all_212_2 gives: % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | (321) aNaturalNumber0(all_71_1) = all_212_0 & % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_212_1 & % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_212_2 & ( ~ (all_212_1 = % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_212_2 = 0) | all_212_0 = 0) % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (321) implies: % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | (322) aNaturalNumber0(xm) = all_212_2 % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | (323) aNaturalNumber0(xp) = all_212_1 % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | (324) aNaturalNumber0(all_71_1) = all_212_0 % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | (325) ~ (all_212_1 = 0) | ~ (all_212_2 = 0) | % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | all_212_0 = 0 % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (301) with fresh symbols all_214_0, % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | all_214_1, all_214_2 gives: % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | (326) aNaturalNumber0(all_71_1) = all_214_1 & % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_47_0) = all_214_0 & % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_214_2 & ( ~ (all_214_1 = % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_214_2 = 0) | all_214_0 = 0) % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (326) implies: % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | (327) aNaturalNumber0(xn) = all_214_2 % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | (328) aNaturalNumber0(all_71_1) = all_214_1 % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (302) with fresh symbols all_216_0, % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | all_216_1, all_216_2 gives: % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | (329) sdtpldt0(all_109_0, xn) = all_216_0 & % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_109_0) = all_216_1 & % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_216_2 & $i(all_216_0) & % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_216_1 = 0) | ~ (all_216_2 = 0) | % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | all_216_0 = xp) % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (329) implies: % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | (330) aNaturalNumber0(xn) = all_216_2 % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | (331) aNaturalNumber0(all_109_0) = all_216_1 % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | (332) sdtpldt0(all_109_0, xn) = all_216_0 % 57.64/10.24 | | | | | | | | | | | | | | | | | | | | | | (333) ~ (all_216_1 = 0) | ~ (all_216_2 = 0) | % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | all_216_0 = xp % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (300) with fresh symbols all_218_0, % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | all_218_1, all_218_2 gives: % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (334) sdtpldt0(all_71_1, xn) = all_218_0 & % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_71_1) = all_218_1 & % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_218_2 & $i(all_218_0) & % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_218_1 = 0) | ~ (all_218_2 = 0) | % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | all_218_0 = all_47_0) % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (334) implies: % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (335) aNaturalNumber0(xn) = all_218_2 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (336) aNaturalNumber0(all_71_1) = all_218_1 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (337) sdtpldt0(all_71_1, xn) = all_218_0 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (338) ~ (all_218_1 = 0) | ~ (all_218_2 = 0) | % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | all_218_0 = all_47_0 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (314) with fresh symbols all_220_0, % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | all_220_1, all_220_2 gives: % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (339) sdtasdt0(all_160_0, xp) = all_220_0 & % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_160_0) = all_220_1 & % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_220_2 & $i(all_220_0) & % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_220_1 = 0) | ~ (all_220_2 = 0) | % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | all_220_0 = all_43_0) % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (339) implies: % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (340) aNaturalNumber0(xp) = all_220_2 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (341) aNaturalNumber0(all_160_0) = all_220_1 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (306) with fresh symbols all_222_0, % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | all_222_1, all_222_2 gives: % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (342) sdtpldt0(xp, xm) = all_222_0 & aNaturalNumber0(xp) % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | = all_222_1 & aNaturalNumber0(xm) = all_222_2 & % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | $i(all_222_0) & ( ~ (all_222_1 = 0) | ~ % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (all_222_2 = 0) | all_222_0 = all_71_1) % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (342) implies: % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (343) aNaturalNumber0(xm) = all_222_2 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (344) aNaturalNumber0(xp) = all_222_1 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (345) sdtpldt0(xp, xm) = all_222_0 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (346) ~ (all_222_1 = 0) | ~ (all_222_2 = 0) | % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | all_222_0 = all_71_1 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (308) with fresh symbols all_224_0, % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | all_224_1, all_224_2 gives: % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (347) sdtpldt0(all_136_0, xm) = all_224_0 & % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_136_0) = all_224_1 & % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_224_2 & $i(all_224_0) & % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_224_1 = 0) | ~ (all_224_2 = 0) | % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | all_224_0 = xp) % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (347) implies: % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (348) $i(all_224_0) % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (349) aNaturalNumber0(xm) = all_224_2 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (350) aNaturalNumber0(all_136_0) = all_224_1 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (351) sdtpldt0(all_136_0, xm) = all_224_0 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (352) ~ (all_224_1 = 0) | ~ (all_224_2 = 0) | % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | all_224_0 = xp % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (317) with fresh symbols all_226_0, % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | all_226_1, all_226_2, all_226_3, all_226_4 gives: % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (353) doDivides0(all_141_0, all_109_0) = all_226_0 & % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | doDivides0(all_141_0, xn) = all_226_1 & % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_141_0) = all_226_4 & % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_109_0) = all_226_2 & % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_226_3 & ( ~ (all_226_1 = % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_226_2 = 0) | ~ (all_226_3 = 0) | % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | ~ (all_226_4 = 0) | all_226_0 = 0) % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (353) implies: % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (354) aNaturalNumber0(xn) = all_226_3 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (355) aNaturalNumber0(all_109_0) = all_226_2 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (356) aNaturalNumber0(all_141_0) = all_226_4 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (357) doDivides0(all_141_0, xn) = all_226_1 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (316) with fresh symbols all_228_0, % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | all_228_1, all_228_2, all_228_3, all_228_4 gives: % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (358) doDivides0(all_141_0, all_136_0) = all_228_0 & % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | doDivides0(all_141_0, xm) = all_228_1 & % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_141_0) = all_228_4 & % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_136_0) = all_228_2 & % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_228_3 & ( ~ (all_228_1 = % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_228_2 = 0) | ~ (all_228_3 = 0) | % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | ~ (all_228_4 = 0) | all_228_0 = 0) % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (358) implies: % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (359) aNaturalNumber0(xm) = all_228_3 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (360) aNaturalNumber0(all_136_0) = all_228_2 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (361) aNaturalNumber0(all_141_0) = all_228_4 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (303) with fresh symbols all_230_0, % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | all_230_1, all_230_2, all_230_3, all_230_4 gives: % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (362) sdtpldt0(xm, all_230_1) = all_230_0 & sdtpldt0(xn, % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | xp) = all_230_1 & aNaturalNumber0(xp) = % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | all_230_2 & aNaturalNumber0(xm) = all_230_4 & % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_230_3 & $i(all_230_0) & % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | $i(all_230_1) & ( ~ (all_230_2 = 0) | ~ % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (all_230_3 = 0) | ~ (all_230_4 = 0) | all_230_0 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | = all_47_0) % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (362) implies: % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (363) $i(all_230_1) % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (364) aNaturalNumber0(xn) = all_230_3 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (365) aNaturalNumber0(xm) = all_230_4 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (366) aNaturalNumber0(xp) = all_230_2 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (367) sdtpldt0(xm, all_230_1) = all_230_0 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (368) ~ (all_230_2 = 0) | ~ (all_230_3 = 0) | ~ % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | (all_230_4 = 0) | all_230_0 = all_47_0 % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (309) with fresh symbols all_232_0, % 57.64/10.25 | | | | | | | | | | | | | | | | | | | | | | all_232_1, all_232_2, all_232_3, all_232_4 gives: % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (369) sdtpldt0(all_136_0, all_47_1) = all_232_1 & % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xm, all_232_1) = all_232_0 & % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_136_0) = all_232_3 & % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_47_1) = all_232_2 & % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_232_4 & $i(all_232_0) & % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | $i(all_232_1) & ( ~ (all_232_2 = 0) | ~ % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (all_232_3 = 0) | ~ (all_232_4 = 0) | all_232_0 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | = all_47_0) % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (369) implies: % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (370) $i(all_232_1) % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (371) aNaturalNumber0(xm) = all_232_4 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (372) aNaturalNumber0(all_47_1) = all_232_2 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (373) aNaturalNumber0(all_136_0) = all_232_3 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (374) sdtpldt0(xm, all_232_1) = all_232_0 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (375) ~ (all_232_2 = 0) | ~ (all_232_3 = 0) | ~ % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (all_232_4 = 0) | all_232_0 = all_47_0 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (310) with fresh symbols all_234_0, % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | all_234_1, all_234_2, all_234_3, all_234_4 gives: % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (376) sdtpldt0(all_109_0, all_47_1) = all_234_1 & % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xn, all_234_1) = all_234_0 & % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_109_0) = all_234_3 & % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_47_1) = all_234_2 & % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_234_4 & $i(all_234_0) & % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | $i(all_234_1) & ( ~ (all_234_2 = 0) | ~ % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (all_234_3 = 0) | ~ (all_234_4 = 0) | all_234_0 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | = all_47_0) % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (376) implies: % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (377) aNaturalNumber0(xn) = all_234_4 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (378) aNaturalNumber0(all_47_1) = all_234_2 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (379) aNaturalNumber0(all_109_0) = all_234_3 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (312) with fresh symbols all_236_0, % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | all_236_1, all_236_2, all_236_3, all_236_4, % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | all_236_5, all_236_6, all_236_7, all_236_8 gives: % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (380) isPrime0(xp) = all_236_5 & doDivides0(xp, % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | all_160_0) = all_236_0 & doDivides0(xp, xp) = % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | all_236_1 & iLess0(all_236_3, all_47_0) = % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | all_236_2 & sdtpldt0(all_236_4, xp) = all_236_3 & % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xp, all_160_0) = all_236_4 & % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_160_0) = all_236_7 & % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_236_6 & % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_236_8 & $i(all_236_3) & % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | $i(all_236_4) & ( ~ (all_236_2 = 0) | ~ % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (all_236_5 = 0) | ~ (all_236_6 = 0) | ~ % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (all_236_7 = 0) | ~ (all_236_8 = 0) | all_236_0 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | = 0 | all_236_1 = 0) % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (380) implies: % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (381) aNaturalNumber0(xp) = all_236_8 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (382) aNaturalNumber0(xp) = all_236_6 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (383) aNaturalNumber0(all_160_0) = all_236_7 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (384) sdtpldt0(xp, all_160_0) = all_236_4 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (385) doDivides0(xp, xp) = all_236_1 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (311) with fresh symbols all_238_0, % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | all_238_1, all_238_2, all_238_3, all_238_4, % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | all_238_5, all_238_6, all_238_7, all_238_8 gives: % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (386) isPrime0(xp) = all_238_5 & doDivides0(xp, xm) = % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | all_238_1 & doDivides0(xp, xn) = all_238_0 & % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | iLess0(all_238_3, all_47_0) = all_238_2 & % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(all_238_4, xp) = all_238_3 & sdtpldt0(xm, % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | xn) = all_238_4 & aNaturalNumber0(xp) = % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | all_238_6 & aNaturalNumber0(xm) = all_238_8 & % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_238_7 & $i(all_238_3) & % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | $i(all_238_4) & ( ~ (all_238_2 = 0) | ~ % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (all_238_5 = 0) | ~ (all_238_6 = 0) | ~ % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (all_238_7 = 0) | ~ (all_238_8 = 0) | all_238_0 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | = 0 | all_238_1 = 0) % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (386) implies: % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (387) aNaturalNumber0(xn) = all_238_7 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (388) aNaturalNumber0(xm) = all_238_8 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (389) aNaturalNumber0(xp) = all_238_6 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | (390) doDivides0(xp, xn) = all_238_0 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives: % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | (391) xp = sz00 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (166), (391) imply: % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | (392) $false % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (392) is inconsistent. % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | (393) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | (sdtlseqdt0(all_141_0, xp) = v2 & % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_141_0) = v0 & % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0)) % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (393) with fresh symbols all_244_0, % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | all_244_1, all_244_2 gives: % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | (394) sdtlseqdt0(all_141_0, xp) = all_244_0 & % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_141_0) = all_244_2 & % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_244_1 & ( ~ (all_244_1 = % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_244_2 = 0) | all_244_0 = 0) % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (394) implies: % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | (395) aNaturalNumber0(xp) = all_244_1 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | (396) aNaturalNumber0(all_141_0) = all_244_2 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_218_2, xn, % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (335) gives: % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | (397) all_218_2 = 0 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_214_2, all_218_2, xn, % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (327), (335) gives: % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | (398) all_218_2 = all_214_2 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_218_2, all_226_3, xn, % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (335), (354) gives: % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | (399) all_226_3 = all_218_2 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_216_2, all_234_4, xn, % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (330), (377) gives: % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | (400) all_234_4 = all_216_2 % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.26 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_234_4, all_238_7, xn, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (377), (387) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (401) all_238_7 = all_234_4 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_230_3, all_238_7, xn, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (364), (387) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (402) all_238_7 = all_230_3 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_226_3, all_238_7, xn, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (354), (387) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (403) all_238_7 = all_226_3 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_230_4, xm, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (365) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (404) all_230_4 = 0 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_224_2, all_230_4, xm, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (349), (365) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (405) all_230_4 = all_224_2 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_222_2, all_230_4, xm, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (343), (365) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (406) all_230_4 = all_222_2 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_228_3, all_232_4, xm, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (359), (371) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (407) all_232_4 = all_228_3 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_224_2, all_232_4, xm, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (349), (371) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (408) all_232_4 = all_224_2 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_232_4, all_238_8, xm, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (371), (388) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (409) all_238_8 = all_232_4 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_212_2, all_238_8, xm, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (322), (388) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (410) all_238_8 = all_212_2 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_220_2, all_222_1, xp, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (340), (344) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (411) all_222_1 = all_220_2 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_220_2, all_230_2, xp, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (340), (366) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (412) all_230_2 = all_220_2 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_230_2, all_236_8, xp, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (366), (381) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (413) all_236_8 = all_230_2 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_236_8, all_236_6, xp, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (381), (382) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (414) all_236_6 = all_236_8 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_238_6, xp, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (389) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (415) all_238_6 = 0 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_222_1, all_238_6, xp, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (344), (389) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (416) all_238_6 = all_222_1 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_236_6, all_244_1, xp, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (382), (395) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (417) all_244_1 = all_236_6 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_212_1, all_244_1, xp, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (323), (395) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (418) all_244_1 = all_212_1 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_234_2, all_47_1, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (264), (378) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (419) all_234_2 = 0 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_232_2, all_234_2, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | all_47_1, simplifying with (372), (378) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (420) all_234_2 = all_232_2 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_214_1, all_218_1, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | all_71_1, simplifying with (328), (336) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (421) all_218_1 = all_214_1 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_212_0, all_218_1, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | all_71_1, simplifying with (324), (336) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (422) all_218_1 = all_212_0 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_216_1, all_226_2, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | all_109_0, simplifying with (331), (355) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (423) all_226_2 = all_216_1 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_234_3, all_109_0, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (189), (379) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (424) all_234_3 = 0 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_226_2, all_234_3, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | all_109_0, simplifying with (355), (379) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (425) all_234_3 = all_226_2 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_232_3, all_136_0, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (218), (373) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (426) all_232_3 = 0 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_228_2, all_232_3, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | all_136_0, simplifying with (360), (373) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (427) all_232_3 = all_228_2 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_224_1, all_232_3, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | all_136_0, simplifying with (350), (373) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (428) all_232_3 = all_224_1 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_244_2, all_141_0, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (396) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (429) all_244_2 = 0 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_228_4, all_244_2, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | all_141_0, simplifying with (361), (396) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (430) all_244_2 = all_228_4 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_226_4, all_244_2, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | all_141_0, simplifying with (356), (396) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (431) all_244_2 = all_226_4 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_236_7, all_160_0, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (383) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (432) all_236_7 = 0 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_220_1, all_236_7, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | all_160_0, simplifying with (341), (383) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (433) all_236_7 = all_220_1 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_73_1, all_238_0, xn, % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | xp, simplifying with (109), (390) gives: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (434) all_238_0 = all_73_1 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (417), (418) imply: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (435) all_236_6 = all_212_1 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (435) implies: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (436) all_236_6 = all_212_1 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (431) imply: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (437) all_228_4 = all_226_4 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (430) imply: % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | (438) all_228_4 = 0 % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.27 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (416) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (439) all_222_1 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (439) implies: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (440) all_222_1 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (401), (402) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (441) all_234_4 = all_230_3 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (441) implies: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (442) all_234_4 = all_230_3 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (403) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (443) all_230_3 = all_226_3 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (410) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (444) all_232_4 = all_212_2 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (444) implies: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (445) all_232_4 = all_212_2 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (436) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (446) all_236_8 = all_212_1 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (446) implies: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (447) all_236_8 = all_212_1 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (432), (433) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (448) all_220_1 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (448) implies: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (449) all_220_1 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (447) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (450) all_230_2 = all_212_1 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (450) implies: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (451) all_230_2 = all_212_1 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (419), (420) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (452) all_232_2 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (425) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (453) all_226_2 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (453) implies: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (454) all_226_2 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (442) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (455) all_230_3 = all_216_2 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (455) implies: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (456) all_230_3 = all_216_2 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (426), (427) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (457) all_228_2 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (427), (428) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (458) all_228_2 = all_224_1 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (408) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (459) all_228_3 = all_224_2 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (445) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (460) all_228_3 = all_212_2 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (451) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (461) all_220_2 = all_212_1 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (461) implies: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (462) all_220_2 = all_212_1 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (443), (456) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (463) all_226_3 = all_216_2 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (463) implies: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (464) all_226_3 = all_216_2 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (406) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (465) all_224_2 = all_222_2 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (465) implies: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (466) all_224_2 = all_222_2 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (404), (406) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (467) all_222_2 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (457), (458) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (468) all_224_1 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (459), (460) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (469) all_224_2 = all_212_2 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (469) implies: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (470) all_224_2 = all_212_2 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (437), (438) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (471) all_226_4 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (471) implies: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (472) all_226_4 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (423), (454) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (473) all_216_1 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (473) implies: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (474) all_216_1 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (399), (464) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (475) all_218_2 = all_216_2 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (475) implies: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (476) all_218_2 = all_216_2 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (470) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (477) all_222_2 = all_212_2 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (477) implies: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (478) all_222_2 = all_212_2 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (440) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (479) all_220_2 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (479) implies: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (480) all_220_2 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (467), (478) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (481) all_212_2 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (480) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (482) all_212_1 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (482) implies: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (483) all_212_1 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (422) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (484) all_214_1 = all_212_0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (398), (476) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (485) all_216_2 = all_214_2 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (476) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (486) all_216_2 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (486) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (487) all_214_2 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (481) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (488) all_224_2 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (481) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (489) all_228_3 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (486) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (490) all_230_3 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (451), (483) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (491) all_230_2 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (489) imply: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | (492) all_232_4 = 0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | | (493) ? [v0: int] : ( ~ (v0 = 0) & % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_141_0) = v0) % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (493) with fresh symbol all_257_0 % 57.64/10.28 | | | | | | | | | | | | | | | | | | | | | | | | gives: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | (494) ~ (all_257_0 = 0) & aNaturalNumber0(all_141_0) = % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | all_257_0 % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (494) implies: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | (495) ~ (all_257_0 = 0) % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | (496) aNaturalNumber0(all_141_0) = all_257_0 % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_257_0, all_141_0, % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (496) gives: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | (497) all_257_0 = 0 % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (495), (497) imply: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | (498) $false % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (498) is inconsistent. % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | (499) ~ (all_141_0 = sz10) & ~ (all_141_0 = sz00) & ! % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | [v0: any] : (v0 = all_141_0 | v0 = sz10 | ~ % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | (doDivides0(v0, all_141_0) = 0) | ~ $i(v0) | ? % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | [v1: int] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | v1)) % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (499) implies: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | (500) ~ (all_141_0 = sz00) % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | (501) ~ (all_141_0 = sz10) % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | (502) all_160_0 = xk % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (502) imply: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | (503) sdtpldt0(xp, xk) = all_236_4 % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (251), (502) imply: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | (504) $i(xk) % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (505) all_141_0 = sz00 % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (500), (505) imply: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (506) $false % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (506) is inconsistent. % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (507) all_141_0 = sz10 | ? [v0: $i] : (isPrime0(v0) = 0 % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | & doDivides0(v0, all_141_0) = 0 & % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0)) % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (346) gives: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (508) ~ (all_222_1 = 0) % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (440), (508) imply: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (509) $false % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (509) is inconsistent. % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (510) ~ (all_222_2 = 0) | all_222_0 = all_71_1 % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (511) xp = xn % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (511) imply: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (512) $false % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (512) is inconsistent. % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (513) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(xp, xm) = v4 & % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xn, xm) = v3 & aNaturalNumber0(xp) = v2 % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v1 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | ( ~ (v4 = v3) & ~ % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_71_1 = all_47_1)))) % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (513) with fresh symbols all_294_0, % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_294_1, all_294_2, all_294_3, all_294_4 gives: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (514) sdtpldt0(xp, xm) = all_294_0 & sdtpldt0(xn, xm) = % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_294_1 & aNaturalNumber0(xp) = all_294_2 & % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_294_4 & % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_294_3 & $i(all_294_0) & % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_294_1) & ( ~ (all_294_2 = 0) | ~ % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_294_3 = 0) | ~ (all_294_4 = 0) | ( ~ % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_294_0 = all_294_1) & ~ (all_71_1 = % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_47_1))) % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (514) implies: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (515) $i(all_294_1) % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (516) aNaturalNumber0(xn) = all_294_3 % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (517) aNaturalNumber0(xm) = all_294_4 % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518) aNaturalNumber0(xp) = all_294_2 % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (519) sdtpldt0(xn, xm) = all_294_1 % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (520) sdtpldt0(xp, xm) = all_294_0 % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (521) ~ (all_230_2 = 0) % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (521) imply: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (522) $false % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (522) is inconsistent. % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (523) ~ (all_230_3 = 0) | ~ (all_230_4 = 0) | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_230_0 = all_47_0 % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (523) gives: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (524) ~ (all_230_3 = 0) % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (490), (524) imply: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (525) $false % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (525) is inconsistent. % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (526) ~ (all_230_4 = 0) | all_230_0 = all_47_0 % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (526) gives: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (527) ~ (all_230_4 = 0) % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (404), (527) imply: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (528) $false % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (528) is inconsistent. % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (529) all_230_0 = all_47_0 % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (529) imply: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (530) sdtpldt0(xm, all_230_1) = all_47_0 % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (531) ~ (all_212_1 = 0) % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (483), (531) imply: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532) $false % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (532) is inconsistent. % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (533) ~ (all_212_2 = 0) | all_212_0 = 0 % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (533) gives: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (534) ~ (all_212_2 = 0) % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (534) imply: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (535) $false % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (535) is inconsistent. % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (536) all_212_0 = 0 % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (536) imply: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (537) all_218_1 = 0 % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (510) gives: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (538) ~ (all_222_2 = 0) % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (467), (538) imply: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (539) $false % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (539) is inconsistent. % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (540) all_222_0 = all_71_1 % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (345), (540) imply: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (541) sdtpldt0(xp, xm) = all_71_1 % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (507) gives: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (542) all_141_0 = sz10 % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (501), (542) imply: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (543) $false % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (543) is inconsistent. % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (544) ? [v0: $i] : (isPrime0(v0) = 0 & doDivides0(v0, % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_141_0) = 0 & aNaturalNumber0(v0) = 0 & % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v0)) % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (544) with fresh symbol all_323_0 % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (545) isPrime0(all_323_0) = 0 & doDivides0(all_323_0, % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_141_0) = 0 & aNaturalNumber0(all_323_0) = 0 % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_323_0) % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (545) implies: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (546) $i(all_323_0) % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (547) doDivides0(all_323_0, all_141_0) = 0 % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (548) ~ (all_218_1 = 0) % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (537), (548) imply: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (549) $false % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (549) is inconsistent. % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (550) ~ (all_218_2 = 0) | all_218_0 = all_47_0 % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (550) gives: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (551) ~ (all_218_2 = 0) % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (397), (551) imply: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (552) $false % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (552) is inconsistent. % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (553) all_218_0 = all_47_0 % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (337), (553) imply: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (554) sdtpldt0(all_71_1, xn) = all_47_0 % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (555) xp = xn % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (555) imply: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (556) $false % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (556) is inconsistent. % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (557) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(xp, xm) = v3 & % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xn, xm) = v4 & aNaturalNumber0(xp) = v1 % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v2 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | ( ~ (v4 = v3) & ~ % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_71_1 = all_47_1)))) % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (557) with fresh symbols all_349_0, % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_349_1, all_349_2, all_349_3, all_349_4 gives: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (558) sdtpldt0(xp, xm) = all_349_1 & sdtpldt0(xn, xm) = % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_349_0 & aNaturalNumber0(xp) = all_349_3 & % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_349_4 & % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_349_2 & $i(all_349_0) & % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_349_1) & ( ~ (all_349_2 = 0) | ~ % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_349_3 = 0) | ~ (all_349_4 = 0) | ( ~ % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_349_0 = all_349_1) & ~ (all_71_1 = % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_47_1))) % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (558) implies: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (559) aNaturalNumber0(xn) = all_349_2 % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (560) aNaturalNumber0(xm) = all_349_4 % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (561) aNaturalNumber0(xp) = all_349_3 % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562) sdtpldt0(xn, xm) = all_349_0 % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (563) sdtpldt0(xp, xm) = all_349_1 % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives: % 57.64/10.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (564) all_141_0 = xp % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (547), (564) imply: % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (565) doDivides0(all_323_0, xp) = 0 % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (226), (564) imply: % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (566) doDivides0(xp, xp) = 0 % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (564) imply: % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (567) doDivides0(xp, xn) = all_226_1 % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives: % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (568) ~ (all_216_1 = 0) % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (474), (568) imply: % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (569) $false % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (569) is inconsistent. % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (570) ~ (all_216_2 = 0) | all_216_0 = xp % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (352) gives: % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (571) ~ (all_224_1 = 0) % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (468), (571) imply: % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (572) $false % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (572) is inconsistent. % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (573) ~ (all_224_2 = 0) | all_224_0 = xp % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives: % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (574) ~ (all_232_2 = 0) % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (452), (574) imply: % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (575) $false % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (575) is inconsistent. % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (576) ~ (all_232_3 = 0) | ~ (all_232_4 = 0) | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_232_0 = all_47_0 % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives: % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (577) all_160_0 = sz00 % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (577) imply: % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (578) xk = sz00 % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (578) implies: % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (579) xk = sz00 % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (579) imply: % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (580) $false % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (580) is inconsistent. % 57.64/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (581) ~ (all_160_0 = sz00) % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (582) all_160_0 = sz10 | ? [v0: $i] : (isPrime0(v0) = 0 % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & doDivides0(v0, all_160_0) = 0 & % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(v0) = 0 & $i(v0)) % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (570) gives: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (583) ~ (all_216_2 = 0) % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (583) imply: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (584) $false % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (584) is inconsistent. % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (585) all_216_0 = xp % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (332), (585) imply: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (586) sdtpldt0(all_109_0, xn) = xp % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (573) gives: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (587) ~ (all_224_2 = 0) % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (488), (587) imply: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (588) $false % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (588) is inconsistent. % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (589) all_224_0 = xp % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (589) imply: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (590) sdtpldt0(all_136_0, xm) = xp % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (576) gives: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (591) ~ (all_232_3 = 0) % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (426), (591) imply: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (592) $false % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (592) is inconsistent. % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (593) ~ (all_232_4 = 0) | all_232_0 = all_47_0 % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (582) gives: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (594) all_160_0 = sz10 % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (594) imply: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (595) xk = sz10 % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (595) imply: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (596) $false % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (596) is inconsistent. % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (597) ? [v0: $i] : (isPrime0(v0) = 0 & doDivides0(v0, % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_160_0) = 0 & aNaturalNumber0(v0) = 0 & % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v0)) % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (597) with fresh symbol all_389_0 % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (598) isPrime0(all_389_0) = 0 & doDivides0(all_389_0, % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_160_0) = 0 & aNaturalNumber0(all_389_0) = 0 % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_389_0) % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (598) implies: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (599) $i(all_389_0) % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (600) aNaturalNumber0(all_389_0) = 0 % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (601) doDivides0(all_389_0, all_160_0) = 0 % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (602) isPrime0(all_389_0) = 0 % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (502), (601) imply: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (603) doDivides0(all_389_0, xk) = 0 % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (593) gives: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (604) ~ (all_232_4 = 0) % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (492), (604) imply: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (605) $false % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (605) is inconsistent. % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (606) all_232_0 = all_47_0 % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (606) imply: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (607) sdtpldt0(xm, all_232_1) = all_47_0 % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_349_2, xn, % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (8), (559) gives: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (608) all_349_2 = 0 % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_294_3, all_349_2, xn, % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (516), (559) gives: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (609) all_349_2 = all_294_3 % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_349_4, xm, % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (560) gives: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (610) all_349_4 = 0 % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_294_4, all_349_4, xm, % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (517), (560) gives: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (611) all_349_4 = all_294_4 % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_349_3, xp, % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (561) gives: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (612) all_349_3 = 0 % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_294_2, all_349_3, xp, % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (518), (561) gives: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (613) all_349_3 = all_294_2 % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_47_1, all_349_0, xm, % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xn, simplifying with (42), (562) gives: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (614) all_349_0 = all_47_1 % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_294_1, all_349_0, xm, % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xn, simplifying with (519), (562) gives: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (615) all_349_0 = all_294_1 % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_294_0, all_349_1, xm, % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp, simplifying with (520), (563) gives: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (616) all_349_1 = all_294_0 % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_71_1, all_349_1, xm, % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp, simplifying with (541), (563) gives: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (617) all_349_1 = all_71_1 % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_73_1, all_226_1, xn, % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp, simplifying with (109), (567) gives: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (618) all_226_1 = all_73_1 % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_236_1, 0, xp, xp, % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (385), (566) gives: % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (619) all_236_1 = 0 % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (614), (615) imply: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (620) all_294_1 = all_47_1 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (616), (617) imply: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (621) all_294_0 = all_71_1 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (621) implies: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (622) all_294_0 = all_71_1 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (608), (609) imply: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (623) all_294_3 = 0 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (623) implies: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (624) all_294_3 = 0 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (613) imply: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (625) all_294_2 = 0 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (625) implies: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (626) all_294_2 = 0 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (611) imply: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (627) all_294_4 = 0 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (61) gives: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (628) all_43_0 = sz00 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (628) imply: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (629) doDivides0(xp, sz00) = 0 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (49) gives: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (630) xn = sz00 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (630) imply: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (631) doDivides0(xp, sz00) = all_73_1 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (630) imply: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (632) aNaturalNumber0(sz00) = 0 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with 0, all_73_1, sz00, xp, % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (629), (631) gives: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (633) all_73_1 = 0 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (315) gives: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (634) ? [v0: any] : ? [v1: any] : (aNaturalNumber0(xp) % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0))) % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (634) with fresh symbols all_453_0, % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_453_1 gives: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (635) aNaturalNumber0(xp) = all_453_1 & % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xn) = all_453_0 & ( ~ (all_453_0 = % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_453_1 = 0)) % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (635) implies: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (636) aNaturalNumber0(xn) = all_453_0 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (637) aNaturalNumber0(xp) = all_453_1 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (638) ~ (all_453_0 = 0) | ~ (all_453_1 = 0) % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (636) imply: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (639) aNaturalNumber0(sz00) = all_453_0 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_453_0, sz00, % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (632), (639) gives: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (640) all_453_0 = 0 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_453_1, xp, % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (637) gives: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (641) all_453_1 = 0 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (638) gives: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (642) ~ (all_453_0 = 0) % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (640), (642) imply: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (643) $false % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (643) is inconsistent. % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (644) ~ (all_453_1 = 0) % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (641), (644) imply: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (645) $false % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (645) is inconsistent. % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (646) ( ~ (all_73_1 = 0) | ? [v0: $i] : (sdtasdt0(xp, % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v0) = xn & aNaturalNumber0(v0) = 0 & % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v0))) & (all_73_1 = 0 | ! [v0: $i] : ( ~ % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(xp, v0) = xn) | ~ $i(v0) | ? [v1: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | int] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v1))) % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (646) implies: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (647) ~ (all_73_1 = 0) | ? [v0: $i] : (sdtasdt0(xp, % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v0) = xn & aNaturalNumber0(v0) = 0 & $i(v0)) % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (647) gives: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (648) ~ (all_73_1 = 0) % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (648) imply: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (649) $false % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (649) is inconsistent. % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_389_0, simplifying % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (599), (603) gives: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (650) ? [v0: any] : ? [v1: any] : (isPrime0(all_389_0) % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v1 & aNaturalNumber0(all_389_0) = v0 & ( ~ (v1 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v0 = 0))) % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_389_0, xk, simplifying % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (504), (599), (603) gives: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (651) xk = sz00 | ? [v0: any] : ? [v1: any] : ? [v2: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | any] : (sdtlseqdt0(all_389_0, xk) = v2 & % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_389_0) = v0 & % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xk) = v1 & ( ~ (v1 = 0) | ~ (v0 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0)) % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (650) with fresh symbols all_480_0, % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_480_1 gives: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (652) isPrime0(all_389_0) = all_480_0 & % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_389_0) = all_480_1 & ( ~ % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_480_0 = 0) | ~ (all_480_1 = 0)) % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (652) implies: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (653) aNaturalNumber0(all_389_0) = all_480_1 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654) isPrime0(all_389_0) = all_480_0 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (655) ~ (all_480_0 = 0) | ~ (all_480_1 = 0) % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (651) gives: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (656) xk = sz00 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (656) imply: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (657) $false % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (657) is inconsistent. % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (658) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtlseqdt0(all_389_0, xk) = v2 & % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_389_0) = v0 & % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xk) = v1 & ( ~ (v1 = 0) | ~ (v0 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0)) % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (658) with fresh symbols all_595_0, % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_595_1, all_595_2 gives: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (659) sdtlseqdt0(all_389_0, xk) = all_595_0 & % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_389_0) = all_595_2 & % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xk) = all_595_1 & ( ~ (all_595_1 = % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_595_2 = 0) | all_595_0 = 0) % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (659) implies: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (660) aNaturalNumber0(all_389_0) = all_595_2 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_595_2, all_389_0, % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (600), (660) gives: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (661) all_595_2 = 0 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_480_1, all_595_2, % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_389_0, simplifying with (653), (660) gives: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (662) all_595_2 = all_480_1 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with 0, all_480_0, all_389_0, % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (602), (654) gives: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (663) all_480_0 = 0 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (662) imply: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (664) all_480_1 = 0 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (655) gives: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (665) ~ (all_480_0 = 0) % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (663), (665) imply: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (666) $false % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (666) is inconsistent. % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (667) ~ (all_480_1 = 0) % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (664), (667) imply: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (668) $false % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (668) is inconsistent. % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (669) ~ (xn = sz00) % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (21), (23), (24), (25), (48), (504), (599), % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (600), (602), (603), (669) are inconsistent by % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1. % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (670) ~ (all_43_0 = sz00) % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (671) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtlseqdt0(xp, all_43_0) = v2 & % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_43_0) = v1 & % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0)) % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (671) with fresh symbols all_429_0, % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_429_1, all_429_2 gives: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (672) sdtlseqdt0(xp, all_43_0) = all_429_0 & % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_43_0) = all_429_1 & % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_429_2 & ( ~ (all_429_1 = % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_429_2 = 0) | all_429_0 = 0) % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (672) implies: % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (673) aNaturalNumber0(xp) = all_429_2 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (674) aNaturalNumber0(all_43_0) = all_429_1 % 58.15/10.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (675) sdtlseqdt0(xp, all_43_0) = all_429_0 % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (676) ~ (all_429_1 = 0) | ~ (all_429_2 = 0) | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_429_0 = 0 % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_429_2, xp, % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (10), (673) gives: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (677) all_429_2 = 0 % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_429_1, all_43_0, % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (234), (674) gives: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (678) all_429_1 = 0 % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (676) gives: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (679) ~ (all_429_1 = 0) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (679) imply: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (680) $false % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (680) is inconsistent. % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (681) ~ (all_429_2 = 0) | all_429_0 = 0 % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (681) gives: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (682) ~ (all_429_2 = 0) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (682) imply: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (683) $false % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (683) is inconsistent. % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (684) all_429_0 = 0 % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (684) imply: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (685) sdtlseqdt0(xp, all_43_0) = 0 % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (49) gives: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (686) xn = sz00 % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (686) imply: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (687) sdtasdt0(sz00, xm) = all_43_0 % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (686) imply: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (688) sdtpldt0(all_109_0, sz00) = xp % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (686) imply: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (689) sdtpldt0(all_71_1, sz00) = all_47_0 % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (686) imply: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (690) sdtpldt0(sz00, all_109_0) = xp % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (686) imply: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (691) sdtpldt0(sz00, xm) = all_47_1 % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (686) imply: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (692) $i(sz00) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with xm, all_47_1, simplifying % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (18), (691) gives: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (693) ? [v0: any] : ? [v1: $i] : (sdtpldt0(xm, sz00) = % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v1 & aNaturalNumber0(xm) = v0 & $i(v1) & ( ~ (v0 % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | (v1 = xm & all_47_1 = xm))) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddComm) with xm, all_230_1, % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_47_0, simplifying with (18), (363), (530) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (694) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtpldt0(all_230_1, xm) = v2 & % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_230_1) = v1 & % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v0 & $i(v2) & ( ~ (v1 = 0) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = all_47_0)) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB) with xm, all_230_1, % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_47_0, simplifying with (18), (363), (530) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (695) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_230_1) = v1 & % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_47_0) = v2 & % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0)) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddComm) with xm, all_232_1, % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_47_0, simplifying with (18), (370), (607) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (696) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (sdtpldt0(all_232_1, xm) = v2 & % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_232_1) = v1 & % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v0 & $i(v2) & ( ~ (v1 = 0) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v2 = all_47_0)) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mSortsB) with xm, all_232_1, % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_47_0, simplifying with (18), (370), (607) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (697) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (aNaturalNumber0(all_232_1) = v1 & % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_47_0) = v2 & % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0)) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddAsso) with sz00, all_109_0, xm, % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp, all_71_1, simplifying with (18), (188), (541), % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (690), (692) gives: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (698) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(all_109_0, xm) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v3 & sdtpldt0(sz00, v3) = v4 & % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_109_0) = v1 & % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v2 & aNaturalNumber0(sz00) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v0 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v4 = all_71_1)) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddAsso) with xm, all_136_0, xk, % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp, all_236_4, simplifying with (18), (217), % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (503), (504) gives: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (699) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(all_136_0, xk) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v3 & sdtpldt0(xm, v3) = v4 & % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_136_0) = v1 & % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xk) = v2 & aNaturalNumber0(xm) = % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v0 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v4 = all_236_4)) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddAsso) with xm, xp, sz00, % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_71_1, all_47_0, simplifying with (18), (19), % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (101), (689), (692) gives: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (700) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(xp, sz00) = v3 % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & sdtpldt0(xm, v3) = v4 & aNaturalNumber0(xp) = % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v1 & aNaturalNumber0(xm) = v0 & % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(sz00) = v2 & $i(v4) & $i(v3) & ( % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_47_0)) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddAsso) with all_109_0, sz00, xm, % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp, all_71_1, simplifying with (18), (188), (541), % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (688), (692) gives: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (701) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(all_109_0, v3) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v4 & sdtpldt0(sz00, xm) = v3 & % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_109_0) = v0 & % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v2 & aNaturalNumber0(sz00) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v1 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v4 = all_71_1)) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddAsso) with all_136_0, xm, % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_47_1, xp, all_47_0, simplifying with (18), % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (41), (217), (278), (590) gives: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (702) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(all_136_0, v3) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v4 & sdtpldt0(xm, all_47_1) = v3 & % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_136_0) = v0 & % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_47_1) = v2 & % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v1 & $i(v4) & $i(v3) & ( ~ % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_47_0)) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddAsso) with all_136_0, xm, xk, % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp, all_236_4, simplifying with (18), (217), % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (503), (504), (590) gives: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (703) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(all_136_0, v3) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v4 & sdtpldt0(xm, xk) = v3 & % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_136_0) = v0 & % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xk) = v2 & aNaturalNumber0(xm) = % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v1 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v4 = all_236_4)) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mAddAsso) with all_136_0, xm, xm, % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp, all_71_1, simplifying with (18), (217), (541), % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (590) gives: % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (704) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtpldt0(all_136_0, v3) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v4 & sdtpldt0(xm, xm) = v3 & % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_136_0) = v0 & % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v2 & aNaturalNumber0(xm) = % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v1 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v4 = all_71_1)) % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with xm, all_43_0, simplifying % 58.15/10.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (18), (687) gives: % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (705) ? [v0: any] : ? [v1: $i] : (sdtasdt0(xm, sz00) = % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v1 & aNaturalNumber0(xm) = v0 & $i(v1) & ( ~ (v0 % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | (v1 = sz00 & all_43_0 = sz00))) % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mLETran) with xp, all_43_0, xm, % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, simplifying with (18), (19), (31), (47), % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (685) gives: % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (706) all_41_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : (sdtlseqdt0(all_43_0, % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xm) = v3 & aNaturalNumber0(all_43_0) = v1 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0))) % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mDivMin) with xp, all_136_0, xm, % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xp, simplifying with (18), (19), (217), (566), % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (590) gives: % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (707) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (doDivides0(xp, % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_136_0) = v3 & doDivides0(xp, xm) = v4 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_136_0) = v1 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v4 = 0)) % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mDivMin) with all_323_0, xm, % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_136_0, xp, simplifying with (18), (217), % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (546), (565) gives: % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (708) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (doDivides0(all_323_0, % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_136_0) = v4 & doDivides0(all_323_0, xm) = % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v3 & aNaturalNumber0(all_323_0) = v0 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_136_0) = v2 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v1 & ( ~ (v3 = 0) | ~ (v2 % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0)) % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mDivMin) with all_323_0, all_136_0, % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xm, xp, simplifying with (18), (217), (546), % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (565), (590) gives: % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (709) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : (doDivides0(all_323_0, % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_136_0) = v3 & doDivides0(all_323_0, xm) = % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v4 & aNaturalNumber0(all_323_0) = v0 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_136_0) = v1 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = v2 & ( ~ (v3 = 0) | ~ (v2 % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0)) % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (705) with fresh symbols all_480_0, % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_480_1 gives: % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (710) sdtasdt0(xm, sz00) = all_480_0 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_480_1 & $i(all_480_0) & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_480_1 = 0) | (all_480_0 = sz00 & all_43_0 % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = sz00)) % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (710) implies: % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (711) aNaturalNumber0(xm) = all_480_1 % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (712) ~ (all_480_1 = 0) | (all_480_0 = sz00 & all_43_0 % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = sz00) % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (695) with fresh symbols all_486_0, % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_486_1, all_486_2 gives: % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (713) aNaturalNumber0(all_230_1) = all_486_1 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_47_0) = all_486_0 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_486_2 & ( ~ (all_486_1 = % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_486_2 = 0) | all_486_0 = 0) % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (713) implies: % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (714) aNaturalNumber0(xm) = all_486_2 % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (697) with fresh symbols all_488_0, % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_488_1, all_488_2 gives: % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (715) aNaturalNumber0(all_232_1) = all_488_1 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_47_0) = all_488_0 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_488_2 & ( ~ (all_488_1 = % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_488_2 = 0) | all_488_0 = 0) % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (715) implies: % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (716) aNaturalNumber0(xm) = all_488_2 % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (693) with fresh symbols all_500_0, % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_500_1 gives: % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (717) sdtpldt0(xm, sz00) = all_500_0 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_500_1 & $i(all_500_0) & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_500_1 = 0) | (all_500_0 = xm & all_47_1 = % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xm)) % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (717) implies: % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (718) aNaturalNumber0(xm) = all_500_1 % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (696) with fresh symbols all_508_0, % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_508_1, all_508_2 gives: % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (719) sdtpldt0(all_232_1, xm) = all_508_0 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_232_1) = all_508_1 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_508_2 & $i(all_508_0) & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_508_1 = 0) | ~ (all_508_2 = 0) | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_508_0 = all_47_0) % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (719) implies: % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (720) aNaturalNumber0(xm) = all_508_2 % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (694) with fresh symbols all_514_0, % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_514_1, all_514_2 gives: % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (721) sdtpldt0(all_230_1, xm) = all_514_0 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_230_1) = all_514_1 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_514_2 & $i(all_514_0) & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_514_1 = 0) | ~ (all_514_2 = 0) | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_514_0 = all_47_0) % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (721) implies: % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (722) aNaturalNumber0(xm) = all_514_2 % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (707) with fresh symbols all_532_0, % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_532_1, all_532_2, all_532_3, all_532_4 gives: % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (723) doDivides0(xp, all_136_0) = all_532_1 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(xp, xm) = all_532_0 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_136_0) = all_532_3 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_532_4 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_532_2 & ( ~ (all_532_1 = % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_532_2 = 0) | ~ (all_532_3 = 0) | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_532_4 = 0) | all_532_0 = 0) % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (723) implies: % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (724) aNaturalNumber0(xm) = all_532_2 % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (709) with fresh symbols all_534_0, % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_534_1, all_534_2, all_534_3, all_534_4 gives: % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (725) doDivides0(all_323_0, all_136_0) = all_534_1 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(all_323_0, xm) = all_534_0 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_323_0) = all_534_4 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_136_0) = all_534_3 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_534_2 & ( ~ (all_534_1 = % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_534_2 = 0) | ~ (all_534_3 = 0) | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_534_4 = 0) | all_534_0 = 0) % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (725) implies: % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (726) aNaturalNumber0(xm) = all_534_2 % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (708) with fresh symbols all_536_0, % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_536_1, all_536_2, all_536_3, all_536_4 gives: % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (727) doDivides0(all_323_0, all_136_0) = all_536_0 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | doDivides0(all_323_0, xm) = all_536_1 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_323_0) = all_536_4 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_136_0) = all_536_2 & % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_536_3 & ( ~ (all_536_1 = % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_536_2 = 0) | ~ (all_536_3 = 0) | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_536_4 = 0) | all_536_0 = 0) % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.15/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (727) implies: % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (728) aNaturalNumber0(xm) = all_536_3 % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (698) with fresh symbols all_544_0, % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_544_1, all_544_2, all_544_3, all_544_4 gives: % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (729) sdtpldt0(all_109_0, xm) = all_544_1 & % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(sz00, all_544_1) = all_544_0 & % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_109_0) = all_544_3 & % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_544_2 & % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(sz00) = all_544_4 & $i(all_544_0) % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_544_1) & ( ~ (all_544_2 = 0) | ~ % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_544_3 = 0) | ~ (all_544_4 = 0) | all_544_0 % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_71_1) % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (729) implies: % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (730) aNaturalNumber0(xm) = all_544_2 % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (704) with fresh symbols all_546_0, % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_546_1, all_546_2, all_546_3, all_546_4 gives: % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (731) sdtpldt0(all_136_0, all_546_1) = all_546_0 & % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xm, xm) = all_546_1 & % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_136_0) = all_546_4 & % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_546_2 & % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_546_3 & $i(all_546_0) & % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_546_1) & ( ~ (all_546_2 = 0) | ~ % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_546_3 = 0) | ~ (all_546_4 = 0) | all_546_0 % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_71_1) % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (731) implies: % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (732) aNaturalNumber0(xm) = all_546_3 % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (733) aNaturalNumber0(xm) = all_546_2 % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (701) with fresh symbols all_548_0, % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_548_1, all_548_2, all_548_3, all_548_4 gives: % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (734) sdtpldt0(all_109_0, all_548_1) = all_548_0 & % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(sz00, xm) = all_548_1 & % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_109_0) = all_548_4 & % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_548_2 & % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(sz00) = all_548_3 & $i(all_548_0) % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_548_1) & ( ~ (all_548_2 = 0) | ~ % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_548_3 = 0) | ~ (all_548_4 = 0) | all_548_0 % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_71_1) % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (734) implies: % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (735) aNaturalNumber0(xm) = all_548_2 % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (700) with fresh symbols all_556_0, % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_556_1, all_556_2, all_556_3, all_556_4 gives: % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (736) sdtpldt0(xp, sz00) = all_556_1 & sdtpldt0(xm, % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_556_1) = all_556_0 & aNaturalNumber0(xp) = % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_556_3 & aNaturalNumber0(xm) = all_556_4 & % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(sz00) = all_556_2 & $i(all_556_0) % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_556_1) & ( ~ (all_556_2 = 0) | ~ % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_556_3 = 0) | ~ (all_556_4 = 0) | all_556_0 % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_47_0) % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (736) implies: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (737) aNaturalNumber0(xm) = all_556_4 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (703) with fresh symbols all_558_0, % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_558_1, all_558_2, all_558_3, all_558_4 gives: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (738) sdtpldt0(all_136_0, all_558_1) = all_558_0 & % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xm, xk) = all_558_1 & % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_136_0) = all_558_4 & % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xk) = all_558_2 & % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_558_3 & $i(all_558_0) & % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_558_1) & ( ~ (all_558_2 = 0) | ~ % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_558_3 = 0) | ~ (all_558_4 = 0) | all_558_0 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_236_4) % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (738) implies: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (739) aNaturalNumber0(xm) = all_558_3 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (702) with fresh symbols all_560_0, % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_560_1, all_560_2, all_560_3, all_560_4 gives: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (740) sdtpldt0(all_136_0, all_560_1) = all_560_0 & % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sdtpldt0(xm, all_47_1) = all_560_1 & % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_136_0) = all_560_4 & % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_47_1) = all_560_2 & % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_560_3 & $i(all_560_0) & % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_560_1) & ( ~ (all_560_2 = 0) | ~ % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_560_3 = 0) | ~ (all_560_4 = 0) | all_560_0 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_47_0) % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (740) implies: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (741) aNaturalNumber0(xm) = all_560_3 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (699) with fresh symbols all_562_0, % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_562_1, all_562_2, all_562_3, all_562_4 gives: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (742) sdtpldt0(all_136_0, xk) = all_562_1 & sdtpldt0(xm, % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_562_1) = all_562_0 & % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_136_0) = all_562_3 & % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xk) = all_562_2 & % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_562_4 & $i(all_562_0) & % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_562_1) & ( ~ (all_562_2 = 0) | ~ % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_562_3 = 0) | ~ (all_562_4 = 0) | all_562_0 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_236_4) % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (742) implies: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (743) aNaturalNumber0(xm) = all_562_4 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (712) gives: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (744) ~ (all_480_1 = 0) % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (706) gives: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (745) all_41_0 = 0 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (745) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (746) $false % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (746) is inconsistent. % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (747) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (sdtlseqdt0(all_43_0, xm) = v3 & % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_43_0) = v1 & % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0))) % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (747) with fresh symbols all_592_0, % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_592_1, all_592_2, all_592_3 gives: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (748) sdtlseqdt0(all_43_0, xm) = all_592_0 & % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_43_0) = all_592_2 & % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xp) = all_592_3 & % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(xm) = all_592_1 & ( ~ (all_592_0 = % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (all_592_1 = 0) | ~ (all_592_2 = 0) | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_592_3 = 0)) % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (748) implies: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (749) aNaturalNumber0(xm) = all_592_1 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_500_1, xm, % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (9), (718) gives: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (750) all_500_1 = 0 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_500_1, all_514_2, xm, % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (722) gives: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (751) all_514_2 = all_500_1 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_500_1, all_534_2, xm, % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (726) gives: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (752) all_534_2 = all_500_1 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_480_1, all_546_3, xm, % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (711), (732) gives: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (753) all_546_3 = all_480_1 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_536_3, all_546_2, xm, % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (728), (733) gives: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (754) all_546_2 = all_536_3 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_500_1, all_546_2, xm, % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (718), (733) gives: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (755) all_546_2 = all_500_1 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_546_2, all_548_2, xm, % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (733), (735) gives: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (756) all_548_2 = all_546_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_532_2, all_548_2, xm, % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (724), (735) gives: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (757) all_548_2 = all_532_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_514_2, all_556_4, xm, % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (722), (737) gives: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (758) all_556_4 = all_514_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_546_2, all_558_3, xm, % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (733), (739) gives: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (759) all_558_3 = all_546_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_546_3, all_558_3, xm, % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (732), (739) gives: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (760) all_558_3 = all_546_3 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_544_2, all_558_3, xm, % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (730), (739) gives: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (761) all_558_3 = all_544_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_534_2, all_560_3, xm, % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (741) gives: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (762) all_560_3 = all_534_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_486_2, all_560_3, xm, % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (714), (741) gives: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (763) all_560_3 = all_486_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_556_4, all_562_4, xm, % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (737), (743) gives: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (764) all_562_4 = all_556_4 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_488_2, all_562_4, xm, % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (716), (743) gives: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (765) all_562_4 = all_488_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_534_2, all_592_1, xm, % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (726), (749) gives: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (766) all_592_1 = all_534_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_508_2, all_592_1, xm, % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (720), (749) gives: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (767) all_592_1 = all_508_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (766), (767) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (768) all_534_2 = all_508_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (768) implies: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (769) all_534_2 = all_508_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (764), (765) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (770) all_556_4 = all_488_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (770) implies: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (771) all_556_4 = all_488_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (762), (763) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (772) all_534_2 = all_486_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (772) implies: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (773) all_534_2 = all_486_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (760), (761) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (774) all_546_3 = all_544_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (774) implies: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (775) all_546_3 = all_544_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (759), (761) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (776) all_546_2 = all_544_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (776) implies: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (777) all_546_2 = all_544_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (758), (771) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (778) all_514_2 = all_488_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (778) implies: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (779) all_514_2 = all_488_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (756), (757) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (780) all_546_2 = all_532_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (780) implies: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (781) all_546_2 = all_532_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (754), (755) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (782) all_536_3 = all_500_1 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (754), (781) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (783) all_536_3 = all_532_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (754), (777) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (784) all_544_2 = all_536_3 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (784) implies: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (785) all_544_2 = all_536_3 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (753), (775) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (786) all_544_2 = all_480_1 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (786) implies: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (787) all_544_2 = all_480_1 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (785), (787) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (788) all_536_3 = all_480_1 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (788) implies: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (789) all_536_3 = all_480_1 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (782), (783) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (790) all_532_2 = all_500_1 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (783), (789) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (791) all_532_2 = all_480_1 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (752), (769) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (792) all_508_2 = all_500_1 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (769), (773) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (793) all_508_2 = all_486_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (790), (791) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (794) all_500_1 = all_480_1 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (794) implies: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (795) all_500_1 = all_480_1 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (751), (779) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (796) all_500_1 = all_488_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (796) implies: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (797) all_500_1 = all_488_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (792), (793) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (798) all_500_1 = all_486_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (798) implies: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (799) all_500_1 = all_486_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (750), (797) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (800) all_488_2 = 0 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (797), (799) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (801) all_488_2 = all_486_2 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (795), (797) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (802) all_488_2 = all_480_1 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (800), (801) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (803) all_486_2 = 0 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (801), (802) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (804) all_486_2 = all_480_1 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (803), (804) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (805) all_480_1 = 0 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (805) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (806) $false % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (806) is inconsistent. % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (807) all_480_0 = sz00 & all_43_0 = sz00 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (807) implies: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (808) all_43_0 = sz00 % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (670), (808) imply: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (809) $false % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (809) is inconsistent. % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (810) ~ (xn = sz00) % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (21), (23), (24), (25), (48), (504), (599), % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (600), (602), (603), (810) are inconsistent by % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1. % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (811) all_141_0 = sz10 | ? [v0: int] : ( ~ (v0 = 0) & % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_141_0) = v0) % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (811) gives: % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (812) all_141_0 = sz10 % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (501), (812) imply: % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (813) $false % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (813) is inconsistent. % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (814) ? [v0: int] : ( ~ (v0 = 0) & % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_141_0) = v0) % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (814) with fresh symbol all_359_0 % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (815) ~ (all_359_0 = 0) & aNaturalNumber0(all_141_0) = % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_359_0 % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (815) implies: % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (816) ~ (all_359_0 = 0) % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (817) aNaturalNumber0(all_141_0) = all_359_0 % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_359_0, all_141_0, % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (225), (817) gives: % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (818) all_359_0 = 0 % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (816), (818) imply: % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (819) $false % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (819) is inconsistent. % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | (820) ? [v0: int] : ( ~ (v0 = 0) & % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | aNaturalNumber0(all_160_0) = v0) % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (820) with fresh symbol all_263_0 % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | (821) ~ (all_263_0 = 0) & aNaturalNumber0(all_160_0) = % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | all_263_0 % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (821) implies: % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | (822) ~ (all_263_0 = 0) % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | (823) aNaturalNumber0(all_160_0) = all_263_0 % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_263_0, all_160_0, % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (252), (823) gives: % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | (824) all_263_0 = 0 % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (824) imply: % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | (825) $false % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (825) is inconsistent. % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | | % 58.38/10.36 | | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | | % 58.38/10.36 | | | | | | | | | End of split % 58.38/10.36 | | | | | | | | | % 58.38/10.36 | | | | | | | | End of split % 58.38/10.36 | | | | | | | | % 58.38/10.36 | | | | | | | End of split % 58.38/10.36 | | | | | | | % 58.38/10.36 | | | | | | End of split % 58.38/10.36 | | | | | | % 58.38/10.36 | | | | | End of split % 58.38/10.36 | | | | | % 58.38/10.36 | | | | End of split % 58.38/10.36 | | | | % 58.38/10.36 | | | End of split % 58.38/10.36 | | | % 58.38/10.36 | | End of split % 58.38/10.36 | | % 58.38/10.36 | End of split % 58.38/10.36 | % 58.38/10.36 End of proof % 58.38/10.36 % 58.38/10.36 Sub-proof #1 shows that the following formulas are inconsistent: % 58.38/10.36 ---------------------------------------------------------------- % 58.38/10.36 (1) doDivides0(all_389_0, xk) = 0 % 58.38/10.36 (2) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 58.38/10.36 (v1 = v0 | ~ (isPrime0(v2) = v1) | ~ (isPrime0(v2) = v0)) % 58.38/10.36 (3) $i(xk) % 58.38/10.36 (4) ! [v0: $i] : ! [v1: $i] : (v1 = sz00 | ~ (doDivides0(v0, v1) = 0) | ~ % 58.38/10.36 $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : % 58.38/10.36 (sdtlseqdt0(v0, v1) = v4 & aNaturalNumber0(v1) = v3 & % 58.38/10.36 aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = 0))) % 58.38/10.36 (5) ~ (xn = sz00) % 58.38/10.36 (6) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 58.38/10.36 (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0)) % 58.38/10.36 (7) isPrime0(all_389_0) = 0 % 58.38/10.36 (8) xn = sz10 | xn = sz00 | ? [v0: $i] : (isPrime0(v0) = 0 & doDivides0(v0, % 58.38/10.36 xn) = 0 & aNaturalNumber0(v0) = 0 & $i(v0)) % 58.38/10.36 (9) $i(all_389_0) % 58.38/10.36 (10) ~ (xk = sz00) % 58.38/10.36 (11) ! [v0: $i] : ( ~ (doDivides0(v0, xk) = 0) | ~ $i(v0) | ? [v1: any] : % 58.38/10.36 ? [v2: any] : (isPrime0(v0) = v2 & aNaturalNumber0(v0) = v1 & ( ~ (v2 % 58.38/10.36 = 0) | ~ (v1 = 0)))) % 58.38/10.36 (12) aNaturalNumber0(all_389_0) = 0 % 58.38/10.36 % 58.38/10.36 Begin of proof % 58.38/10.36 | % 58.38/10.36 | BETA: splitting (8) gives: % 58.38/10.36 | % 58.38/10.36 | Case 1: % 58.38/10.36 | | % 58.38/10.36 | | (13) xn = sz00 % 58.38/10.36 | | % 58.38/10.36 | | REDUCE: (5), (13) imply: % 58.38/10.36 | | (14) $false % 58.38/10.36 | | % 58.38/10.36 | | CLOSE: (14) is inconsistent. % 58.38/10.36 | | % 58.38/10.36 | Case 2: % 58.38/10.36 | | % 58.38/10.36 | | % 58.38/10.36 | | GROUND_INST: instantiating (11) with all_389_0, simplifying with (1), (9) % 58.38/10.36 | | gives: % 58.38/10.36 | | (15) ? [v0: any] : ? [v1: any] : (isPrime0(all_389_0) = v1 & % 58.38/10.36 | | aNaturalNumber0(all_389_0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 58.38/10.36 | | % 58.38/10.36 | | GROUND_INST: instantiating (4) with all_389_0, xk, simplifying with (1), % 58.38/10.36 | | (3), (9) gives: % 58.38/10.36 | | (16) xk = sz00 | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 58.38/10.36 | | (sdtlseqdt0(all_389_0, xk) = v2 & aNaturalNumber0(all_389_0) = v0 & % 58.38/10.36 | | aNaturalNumber0(xk) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 58.38/10.36 | | % 58.38/10.36 | | DELTA: instantiating (15) with fresh symbols all_466_0, all_466_1 gives: % 58.38/10.36 | | (17) isPrime0(all_389_0) = all_466_0 & aNaturalNumber0(all_389_0) = % 58.38/10.36 | | all_466_1 & ( ~ (all_466_0 = 0) | ~ (all_466_1 = 0)) % 58.38/10.36 | | % 58.38/10.36 | | ALPHA: (17) implies: % 58.38/10.36 | | (18) aNaturalNumber0(all_389_0) = all_466_1 % 58.38/10.36 | | (19) isPrime0(all_389_0) = all_466_0 % 58.38/10.36 | | (20) ~ (all_466_0 = 0) | ~ (all_466_1 = 0) % 58.38/10.36 | | % 58.38/10.36 | | BETA: splitting (16) gives: % 58.38/10.36 | | % 58.38/10.36 | | Case 1: % 58.38/10.36 | | | % 58.38/10.36 | | | (21) xk = sz00 % 58.38/10.36 | | | % 58.38/10.36 | | | REDUCE: (10), (21) imply: % 58.38/10.36 | | | (22) $false % 58.38/10.36 | | | % 58.38/10.36 | | | CLOSE: (22) is inconsistent. % 58.38/10.36 | | | % 58.38/10.36 | | Case 2: % 58.38/10.36 | | | % 58.38/10.36 | | | (23) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 58.38/10.36 | | | (sdtlseqdt0(all_389_0, xk) = v2 & aNaturalNumber0(all_389_0) = v0 % 58.38/10.36 | | | & aNaturalNumber0(xk) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = % 58.38/10.36 | | | 0)) % 58.38/10.36 | | | % 58.38/10.36 | | | DELTA: instantiating (23) with fresh symbols all_555_0, all_555_1, % 58.38/10.36 | | | all_555_2 gives: % 58.38/10.36 | | | (24) sdtlseqdt0(all_389_0, xk) = all_555_0 & aNaturalNumber0(all_389_0) % 58.38/10.36 | | | = all_555_2 & aNaturalNumber0(xk) = all_555_1 & ( ~ (all_555_1 = % 58.38/10.36 | | | 0) | ~ (all_555_2 = 0) | all_555_0 = 0) % 58.38/10.36 | | | % 58.38/10.36 | | | ALPHA: (24) implies: % 58.38/10.36 | | | (25) aNaturalNumber0(all_389_0) = all_555_2 % 58.38/10.36 | | | % 58.38/10.36 | | | GROUND_INST: instantiating (6) with 0, all_555_2, all_389_0, simplifying % 58.38/10.36 | | | with (12), (25) gives: % 58.38/10.36 | | | (26) all_555_2 = 0 % 58.38/10.36 | | | % 58.38/10.36 | | | GROUND_INST: instantiating (6) with all_466_1, all_555_2, all_389_0, % 58.38/10.36 | | | simplifying with (18), (25) gives: % 58.38/10.36 | | | (27) all_555_2 = all_466_1 % 58.38/10.36 | | | % 58.38/10.36 | | | GROUND_INST: instantiating (2) with 0, all_466_0, all_389_0, simplifying % 58.38/10.36 | | | with (7), (19) gives: % 58.38/10.36 | | | (28) all_466_0 = 0 % 58.38/10.36 | | | % 58.38/10.36 | | | COMBINE_EQS: (26), (27) imply: % 58.38/10.36 | | | (29) all_466_1 = 0 % 58.38/10.36 | | | % 58.38/10.36 | | | BETA: splitting (20) gives: % 58.38/10.36 | | | % 58.38/10.36 | | | Case 1: % 58.38/10.36 | | | | % 58.38/10.36 | | | | (30) ~ (all_466_0 = 0) % 58.38/10.36 | | | | % 58.38/10.36 | | | | REDUCE: (28), (30) imply: % 58.38/10.36 | | | | (31) $false % 58.38/10.36 | | | | % 58.38/10.36 | | | | CLOSE: (31) is inconsistent. % 58.38/10.36 | | | | % 58.38/10.36 | | | Case 2: % 58.38/10.36 | | | | % 58.38/10.36 | | | | (32) ~ (all_466_1 = 0) % 58.38/10.36 | | | | % 58.38/10.36 | | | | REDUCE: (29), (32) imply: % 58.38/10.36 | | | | (33) $false % 58.38/10.36 | | | | % 58.38/10.36 | | | | CLOSE: (33) is inconsistent. % 58.38/10.36 | | | | % 58.38/10.36 | | | End of split % 58.38/10.36 | | | % 58.38/10.36 | | End of split % 58.38/10.36 | | % 58.38/10.36 | End of split % 58.38/10.36 | % 58.38/10.36 End of proof % 58.38/10.37 % SZS output end Proof for theBenchmark % 58.38/10.37 % 58.38/10.37 9746ms %------------------------------------------------------------------------------