%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : NUM433+3 : TPTP v8.1.2. Released v4.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n028.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 11:47:43 EDT 2023 % Result : Theorem 9.89s 2.18s % Output : Proof 15.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM433+3 : TPTP v8.1.2. Released v4.0.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.34 % Computer : n028.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Fri Aug 25 12:35:21 EDT 2023 % 0.14/0.34 % CPUTime : % 0.20/0.56 ________ _____ % 0.20/0.56 ___ __ \_________(_)________________________________ % 0.20/0.56 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.56 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.56 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.56 % 0.20/0.56 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.56 (2023-06-19) % 0.20/0.56 % 0.20/0.56 (c) Philipp Rümmer, 2009-2023 % 0.20/0.56 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.56 Amanda Stjerna. % 0.20/0.56 Free software under BSD-3-Clause. % 0.20/0.56 % 0.20/0.56 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.56 % 0.20/0.56 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.57 Running up to 7 provers in parallel. % 0.20/0.58 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.58 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.58 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.58 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.58 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.58 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.20/0.58 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 2.57/1.08 Prover 4: Preprocessing ... % 2.57/1.08 Prover 1: Preprocessing ... % 3.13/1.14 Prover 6: Preprocessing ... % 3.13/1.14 Prover 2: Preprocessing ... % 3.13/1.14 Prover 0: Preprocessing ... % 3.13/1.14 Prover 5: Preprocessing ... % 3.13/1.14 Prover 3: Preprocessing ... % 6.56/1.68 Prover 1: Constructing countermodel ... % 7.12/1.69 Prover 3: Constructing countermodel ... % 7.12/1.69 Prover 6: Proving ... % 7.12/1.71 Prover 5: Constructing countermodel ... % 7.12/1.75 Prover 2: Proving ... % 7.12/1.75 Prover 4: Constructing countermodel ... % 8.07/1.89 Prover 0: Proving ... % 9.89/2.18 Prover 3: proved (1601ms) % 9.89/2.18 % 9.89/2.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 9.89/2.19 % 9.89/2.19 Prover 5: stopped % 9.89/2.19 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 9.89/2.19 Prover 6: stopped % 10.44/2.20 Prover 0: stopped % 10.44/2.20 Prover 2: stopped % 10.44/2.20 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 10.44/2.20 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 10.44/2.20 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 10.44/2.20 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 11.04/2.25 Prover 7: Preprocessing ... % 11.04/2.27 Prover 11: Preprocessing ... % 11.04/2.28 Prover 8: Preprocessing ... % 11.04/2.29 Prover 10: Preprocessing ... % 11.04/2.30 Prover 13: Preprocessing ... % 12.05/2.38 Prover 8: Warning: ignoring some quantifiers % 12.05/2.38 Prover 8: Constructing countermodel ... % 12.05/2.39 Prover 10: Constructing countermodel ... % 12.05/2.44 Prover 7: Constructing countermodel ... % 12.66/2.46 Prover 13: Constructing countermodel ... % 13.37/2.56 Prover 11: Constructing countermodel ... % 14.35/2.69 Prover 1: Found proof (size 257) % 14.35/2.69 Prover 1: proved (2118ms) % 14.35/2.69 Prover 13: stopped % 14.35/2.69 Prover 4: stopped % 14.35/2.69 Prover 8: stopped % 14.35/2.70 Prover 7: stopped % 14.35/2.70 Prover 11: stopped % 14.35/2.70 Prover 10: stopped % 14.35/2.70 % 14.35/2.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 14.35/2.70 % 14.35/2.73 % SZS output start Proof for theBenchmark % 14.35/2.74 Assumptions after simplification: % 14.35/2.74 --------------------------------- % 14.35/2.74 % 14.35/2.74 (mDivisor) % 14.35/2.76 $i(sz00) & ! [v0: $i] : ( ~ (aInteger0(v0) = 0) | ~ $i(v0) | ( ! [v1: $i] : % 14.35/2.76 ! [v2: int] : (v2 = 0 | v1 = sz00 | ~ (aDivisorOf0(v1, v0) = v2) | ~ % 14.35/2.76 $i(v1) | ? [v3: int] : ( ~ (v3 = 0) & aInteger0(v1) = v3) | ! [v3: $i] % 14.35/2.76 : ( ~ (sdtasdt0(v1, v3) = v0) | ~ $i(v3) | ? [v4: int] : ( ~ (v4 = 0) % 14.35/2.76 & aInteger0(v3) = v4))) & ! [v1: $i] : ( ~ (aDivisorOf0(v1, v0) = % 14.35/2.76 0) | ~ $i(v1) | ( ~ (v1 = sz00) & aInteger0(v1) = 0 & ? [v2: $i] : % 14.35/2.76 (sdtasdt0(v1, v2) = v0 & aInteger0(v2) = 0 & $i(v2)))))) % 14.35/2.76 % 14.35/2.76 (mEquModSym) % 14.35/2.76 $i(sz00) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = sz00 | ~ % 14.35/2.76 (sdteqdtlpzmzozddtrp0(v0, v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 14.35/2.76 ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : % 14.35/2.76 (sdteqdtlpzmzozddtrp0(v1, v0, v2) = v6 & aInteger0(v2) = v5 & aInteger0(v1) % 14.35/2.76 = v4 & aInteger0(v0) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v6 % 14.35/2.76 = 0))) % 14.35/2.76 % 14.35/2.76 (mIntMult) % 14.35/2.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ % 14.35/2.77 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 14.35/2.77 (aInteger0(v2) = v5 & aInteger0(v1) = v4 & aInteger0(v0) = v3 & ( ~ (v4 = 0) % 14.35/2.77 | ~ (v3 = 0) | v5 = 0))) % 14.35/2.77 % 14.35/2.77 (mIntPlus) % 14.35/2.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ % 14.35/2.77 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 14.35/2.77 (aInteger0(v2) = v5 & aInteger0(v1) = v4 & aInteger0(v0) = v3 & ( ~ (v4 = 0) % 14.35/2.77 | ~ (v3 = 0) | v5 = 0))) % 14.35/2.77 % 14.35/2.77 (mMulAsso) % 14.35/2.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 14.35/2.77 (sdtasdt0(v3, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) % 14.35/2.77 | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: $i] : ? % 14.35/2.77 [v9: $i] : (sdtasdt0(v1, v2) = v8 & sdtasdt0(v0, v8) = v9 & aInteger0(v2) = % 14.35/2.77 v7 & aInteger0(v1) = v6 & aInteger0(v0) = v5 & $i(v9) & $i(v8) & ( ~ (v7 = % 14.35/2.77 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = v4))) % 14.35/2.77 % 14.35/2.77 (mMulComm) % 14.35/2.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ % 14.35/2.77 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] : % 14.35/2.77 (sdtasdt0(v1, v0) = v5 & aInteger0(v1) = v4 & aInteger0(v0) = v3 & $i(v5) & % 14.35/2.77 ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2))) % 14.35/2.77 % 14.35/2.77 (m__) % 14.35/2.77 $i(xq) & $i(xp) & $i(xb) & $i(xa) & $i(sz00) & ? [v0: $i] : ? [v1: $i] : ? % 14.35/2.77 [v2: $i] : ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ( ~ (v0 % 14.35/2.77 = sz00) & sdteqdtlpzmzozddtrp0(xa, xb, v0) = 0 & sdteqdtlpzmzozddtrp0(xa, % 14.35/2.77 xb, xq) = v6 & sdteqdtlpzmzozddtrp0(xa, xb, xp) = v4 & aDivisorOf0(v0, v2) % 14.35/2.77 = 0 & aDivisorOf0(xq, v2) = v5 & aDivisorOf0(xp, v2) = v3 & sdtasdt0(xp, xq) % 14.35/2.77 = v0 & sdtpldt0(xa, v1) = v2 & smndt0(xb) = v1 & $i(v2) & $i(v1) & $i(v0) & % 14.35/2.77 ? [v7: $i] : (sdtasdt0(v0, v7) = v2 & aInteger0(v7) = 0 & $i(v7)) & (( ~ (v6 % 14.35/2.77 = 0) & ~ (v5 = 0) & ! [v7: $i] : ( ~ (sdtasdt0(xq, v7) = v2) | ~ % 14.35/2.77 $i(v7) | ? [v8: int] : ( ~ (v8 = 0) & aInteger0(v7) = v8))) | ( ~ (v4 % 14.35/2.77 = 0) & ~ (v3 = 0) & ! [v7: $i] : ( ~ (sdtasdt0(xp, v7) = v2) | ~ % 14.35/2.77 $i(v7) | ? [v8: int] : ( ~ (v8 = 0) & aInteger0(v7) = v8))))) % 14.35/2.77 % 14.35/2.77 (m__979) % 14.35/2.77 ~ (xq = sz00) & ~ (xp = sz00) & aInteger0(xq) = 0 & aInteger0(xp) = 0 & % 14.35/2.77 aInteger0(xb) = 0 & aInteger0(xa) = 0 & $i(xq) & $i(xp) & $i(xb) & $i(xa) & % 14.35/2.78 $i(sz00) % 14.35/2.78 % 14.35/2.78 (function-axioms) % 14.35/2.78 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 14.35/2.78 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (sdteqdtlpzmzozddtrp0(v4, v3, v2) = v1) % 14.35/2.78 | ~ (sdteqdtlpzmzozddtrp0(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : % 14.35/2.78 ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 14.35/2.78 (aDivisorOf0(v3, v2) = v1) | ~ (aDivisorOf0(v3, v2) = v0)) & ! [v0: $i] : % 14.35/2.78 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) % 14.35/2.78 | ~ (sdtasdt0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 14.35/2.78 [v3: $i] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) % 14.35/2.78 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (smndt0(v2) = v1) | % 14.35/2.78 ~ (smndt0(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 14.35/2.78 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (aInteger0(v2) = v1) | ~ % 14.35/2.78 (aInteger0(v2) = v0)) % 14.35/2.78 % 14.35/2.78 Further assumptions not needed in the proof: % 14.35/2.78 -------------------------------------------- % 14.35/2.78 mAddAsso, mAddComm, mAddNeg, mAddZero, mDistrib, mEquMod, mEquModRef, % 14.35/2.78 mEquModTrn, mIntNeg, mIntOne, mIntZero, mIntegers, mMulMinOne, mMulOne, % 14.35/2.78 mMulZero, mZeroDiv % 14.35/2.78 % 14.35/2.78 Those formulas are unsatisfiable: % 14.35/2.78 --------------------------------- % 14.35/2.78 % 14.35/2.78 Begin of proof % 14.35/2.78 | % 14.35/2.78 | ALPHA: (mDivisor) implies: % 14.35/2.78 | (1) ! [v0: $i] : ( ~ (aInteger0(v0) = 0) | ~ $i(v0) | ( ! [v1: $i] : ! % 14.35/2.78 | [v2: int] : (v2 = 0 | v1 = sz00 | ~ (aDivisorOf0(v1, v0) = v2) | % 14.35/2.78 | ~ $i(v1) | ? [v3: int] : ( ~ (v3 = 0) & aInteger0(v1) = v3) | ! % 14.35/2.78 | [v3: $i] : ( ~ (sdtasdt0(v1, v3) = v0) | ~ $i(v3) | ? [v4: int] % 14.35/2.78 | : ( ~ (v4 = 0) & aInteger0(v3) = v4))) & ! [v1: $i] : ( ~ % 14.35/2.78 | (aDivisorOf0(v1, v0) = 0) | ~ $i(v1) | ( ~ (v1 = sz00) & % 14.35/2.78 | aInteger0(v1) = 0 & ? [v2: $i] : (sdtasdt0(v1, v2) = v0 & % 14.35/2.78 | aInteger0(v2) = 0 & $i(v2)))))) % 14.35/2.78 | % 14.35/2.78 | ALPHA: (mEquModSym) implies: % 14.35/2.78 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = sz00 | ~ % 14.35/2.78 | (sdteqdtlpzmzozddtrp0(v0, v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ % 14.35/2.78 | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : % 14.35/2.78 | (sdteqdtlpzmzozddtrp0(v1, v0, v2) = v6 & aInteger0(v2) = v5 & % 14.35/2.78 | aInteger0(v1) = v4 & aInteger0(v0) = v3 & ( ~ (v5 = 0) | ~ (v4 = % 14.35/2.78 | 0) | ~ (v3 = 0) | v6 = 0))) % 14.35/2.78 | % 14.35/2.78 | ALPHA: (m__979) implies: % 14.35/2.78 | (3) ~ (xq = sz00) % 14.35/2.78 | (4) aInteger0(xp) = 0 % 14.35/2.78 | (5) aInteger0(xq) = 0 % 14.35/2.78 | % 14.35/2.78 | ALPHA: (m__) implies: % 14.35/2.78 | (6) $i(xa) % 14.35/2.78 | (7) $i(xb) % 14.35/2.78 | (8) $i(xp) % 14.35/2.78 | (9) $i(xq) % 14.35/2.79 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] : ? [v4: any] % 14.35/2.79 | : ? [v5: any] : ? [v6: any] : ( ~ (v0 = sz00) & % 14.35/2.79 | sdteqdtlpzmzozddtrp0(xa, xb, v0) = 0 & sdteqdtlpzmzozddtrp0(xa, xb, % 14.35/2.79 | xq) = v6 & sdteqdtlpzmzozddtrp0(xa, xb, xp) = v4 & aDivisorOf0(v0, % 14.35/2.79 | v2) = 0 & aDivisorOf0(xq, v2) = v5 & aDivisorOf0(xp, v2) = v3 & % 14.35/2.79 | sdtasdt0(xp, xq) = v0 & sdtpldt0(xa, v1) = v2 & smndt0(xb) = v1 & % 14.35/2.79 | $i(v2) & $i(v1) & $i(v0) & ? [v7: $i] : (sdtasdt0(v0, v7) = v2 & % 14.35/2.79 | aInteger0(v7) = 0 & $i(v7)) & (( ~ (v6 = 0) & ~ (v5 = 0) & ! % 14.35/2.79 | [v7: $i] : ( ~ (sdtasdt0(xq, v7) = v2) | ~ $i(v7) | ? [v8: % 14.35/2.79 | int] : ( ~ (v8 = 0) & aInteger0(v7) = v8))) | ( ~ (v4 = 0) & % 14.35/2.79 | ~ (v3 = 0) & ! [v7: $i] : ( ~ (sdtasdt0(xp, v7) = v2) | ~ % 14.35/2.79 | $i(v7) | ? [v8: int] : ( ~ (v8 = 0) & aInteger0(v7) = v8))))) % 14.35/2.79 | % 14.35/2.79 | ALPHA: (function-axioms) implies: % 14.35/2.79 | (11) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 14.35/2.79 | : (v1 = v0 | ~ (aInteger0(v2) = v1) | ~ (aInteger0(v2) = v0)) % 14.35/2.79 | % 14.35/2.79 | DELTA: instantiating (10) with fresh symbols all_25_0, all_25_1, all_25_2, % 14.35/2.79 | all_25_3, all_25_4, all_25_5, all_25_6 gives: % 14.35/2.79 | (12) ~ (all_25_6 = sz00) & sdteqdtlpzmzozddtrp0(xa, xb, all_25_6) = 0 & % 14.35/2.79 | sdteqdtlpzmzozddtrp0(xa, xb, xq) = all_25_0 & sdteqdtlpzmzozddtrp0(xa, % 14.35/2.79 | xb, xp) = all_25_2 & aDivisorOf0(all_25_6, all_25_4) = 0 & % 14.35/2.79 | aDivisorOf0(xq, all_25_4) = all_25_1 & aDivisorOf0(xp, all_25_4) = % 14.35/2.79 | all_25_3 & sdtasdt0(xp, xq) = all_25_6 & sdtpldt0(xa, all_25_5) = % 14.35/2.79 | all_25_4 & smndt0(xb) = all_25_5 & $i(all_25_4) & $i(all_25_5) & % 14.35/2.79 | $i(all_25_6) & ? [v0: $i] : (sdtasdt0(all_25_6, v0) = all_25_4 & % 14.35/2.79 | aInteger0(v0) = 0 & $i(v0)) & (( ~ (all_25_0 = 0) & ~ (all_25_1 = % 14.35/2.79 | 0) & ! [v0: $i] : ( ~ (sdtasdt0(xq, v0) = all_25_4) | ~ $i(v0) % 14.35/2.79 | | ? [v1: int] : ( ~ (v1 = 0) & aInteger0(v0) = v1))) | ( ~ % 14.35/2.79 | (all_25_2 = 0) & ~ (all_25_3 = 0) & ! [v0: $i] : ( ~ % 14.35/2.79 | (sdtasdt0(xp, v0) = all_25_4) | ~ $i(v0) | ? [v1: int] : ( ~ % 14.35/2.79 | (v1 = 0) & aInteger0(v0) = v1)))) % 14.35/2.79 | % 14.35/2.79 | ALPHA: (12) implies: % 14.35/2.79 | (13) ~ (all_25_6 = sz00) % 14.35/2.79 | (14) $i(all_25_6) % 14.35/2.79 | (15) $i(all_25_5) % 14.35/2.79 | (16) sdtpldt0(xa, all_25_5) = all_25_4 % 14.35/2.79 | (17) sdtasdt0(xp, xq) = all_25_6 % 14.35/2.79 | (18) aDivisorOf0(xq, all_25_4) = all_25_1 % 14.35/2.79 | (19) aDivisorOf0(all_25_6, all_25_4) = 0 % 14.35/2.79 | (20) sdteqdtlpzmzozddtrp0(xa, xb, all_25_6) = 0 % 14.35/2.79 | (21) ( ~ (all_25_0 = 0) & ~ (all_25_1 = 0) & ! [v0: $i] : ( ~ % 14.35/2.79 | (sdtasdt0(xq, v0) = all_25_4) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 % 14.35/2.79 | = 0) & aInteger0(v0) = v1))) | ( ~ (all_25_2 = 0) & ~ % 14.35/2.79 | (all_25_3 = 0) & ! [v0: $i] : ( ~ (sdtasdt0(xp, v0) = all_25_4) | % 14.35/2.79 | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & aInteger0(v0) = v1))) % 14.35/2.79 | (22) ? [v0: $i] : (sdtasdt0(all_25_6, v0) = all_25_4 & aInteger0(v0) = 0 & % 14.35/2.79 | $i(v0)) % 14.35/2.79 | % 14.35/2.79 | DELTA: instantiating (22) with fresh symbol all_27_0 gives: % 14.35/2.79 | (23) sdtasdt0(all_25_6, all_27_0) = all_25_4 & aInteger0(all_27_0) = 0 & % 14.35/2.79 | $i(all_27_0) % 14.35/2.79 | % 14.35/2.79 | ALPHA: (23) implies: % 14.35/2.79 | (24) $i(all_27_0) % 14.35/2.79 | (25) aInteger0(all_27_0) = 0 % 14.35/2.79 | (26) sdtasdt0(all_25_6, all_27_0) = all_25_4 % 14.35/2.80 | % 14.35/2.80 | GROUND_INST: instantiating (mIntPlus) with xa, all_25_5, all_25_4, simplifying % 14.35/2.80 | with (6), (15), (16) gives: % 14.35/2.80 | (27) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aInteger0(all_25_4) = v2 % 14.35/2.80 | & aInteger0(all_25_5) = v1 & aInteger0(xa) = v0 & ( ~ (v1 = 0) | ~ % 14.35/2.80 | (v0 = 0) | v2 = 0)) % 14.35/2.80 | % 14.35/2.80 | GROUND_INST: instantiating (mMulComm) with xp, xq, all_25_6, simplifying with % 14.35/2.80 | (8), (9), (17) gives: % 14.35/2.80 | (28) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(xq, xp) = v2 & % 14.35/2.80 | aInteger0(xq) = v1 & aInteger0(xp) = v0 & $i(v2) & ( ~ (v1 = 0) | ~ % 14.35/2.80 | (v0 = 0) | v2 = all_25_6)) % 14.35/2.80 | % 14.35/2.80 | GROUND_INST: instantiating (mIntMult) with xp, xq, all_25_6, simplifying with % 14.35/2.80 | (8), (9), (17) gives: % 14.35/2.80 | (29) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aInteger0(all_25_6) = v2 % 14.35/2.80 | & aInteger0(xq) = v1 & aInteger0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 14.35/2.80 | 0) | v2 = 0)) % 14.35/2.80 | % 14.35/2.80 | GROUND_INST: instantiating (mMulAsso) with xp, xq, all_27_0, all_25_6, % 14.35/2.80 | all_25_4, simplifying with (8), (9), (17), (24), (26) gives: % 14.35/2.80 | (30) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i] % 14.35/2.80 | : (sdtasdt0(xq, all_27_0) = v3 & sdtasdt0(xp, v3) = v4 & % 14.35/2.80 | aInteger0(all_27_0) = v2 & aInteger0(xq) = v1 & aInteger0(xp) = v0 & % 14.35/2.80 | $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = % 14.35/2.80 | all_25_4)) % 14.35/2.80 | % 14.35/2.80 | GROUND_INST: instantiating (mMulComm) with all_25_6, all_27_0, all_25_4, % 14.35/2.80 | simplifying with (14), (24), (26) gives: % 14.35/2.80 | (31) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (sdtasdt0(all_27_0, % 14.35/2.80 | all_25_6) = v2 & aInteger0(all_27_0) = v1 & aInteger0(all_25_6) = % 14.35/2.80 | v0 & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_25_4)) % 14.35/2.80 | % 14.35/2.80 | GROUND_INST: instantiating (mIntMult) with all_25_6, all_27_0, all_25_4, % 14.35/2.80 | simplifying with (14), (24), (26) gives: % 14.35/2.80 | (32) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aInteger0(all_27_0) = v1 % 14.35/2.80 | & aInteger0(all_25_4) = v2 & aInteger0(all_25_6) = v0 & ( ~ (v1 = 0) % 14.35/2.80 | | ~ (v0 = 0) | v2 = 0)) % 14.35/2.80 | % 14.35/2.80 | GROUND_INST: instantiating (2) with xa, xb, all_25_6, simplifying with (6), % 14.35/2.80 | (7), (14), (20) gives: % 14.35/2.80 | (33) all_25_6 = sz00 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 14.35/2.80 | any] : (sdteqdtlpzmzozddtrp0(xb, xa, all_25_6) = v3 & % 14.35/2.80 | aInteger0(all_25_6) = v2 & aInteger0(xb) = v1 & aInteger0(xa) = v0 & % 14.35/2.80 | ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0)) % 14.35/2.80 | % 14.35/2.80 | DELTA: instantiating (27) with fresh symbols all_45_0, all_45_1, all_45_2 % 14.35/2.80 | gives: % 14.35/2.80 | (34) aInteger0(all_25_4) = all_45_0 & aInteger0(all_25_5) = all_45_1 & % 14.35/2.80 | aInteger0(xa) = all_45_2 & ( ~ (all_45_1 = 0) | ~ (all_45_2 = 0) | % 14.35/2.80 | all_45_0 = 0) % 14.35/2.80 | % 14.35/2.80 | ALPHA: (34) implies: % 14.35/2.80 | (35) aInteger0(all_25_4) = all_45_0 % 14.35/2.80 | % 14.35/2.80 | DELTA: instantiating (32) with fresh symbols all_47_0, all_47_1, all_47_2 % 14.35/2.80 | gives: % 14.35/2.81 | (36) aInteger0(all_27_0) = all_47_1 & aInteger0(all_25_4) = all_47_0 & % 14.35/2.81 | aInteger0(all_25_6) = all_47_2 & ( ~ (all_47_1 = 0) | ~ (all_47_2 = % 14.35/2.81 | 0) | all_47_0 = 0) % 14.35/2.81 | % 14.35/2.81 | ALPHA: (36) implies: % 14.35/2.81 | (37) aInteger0(all_25_6) = all_47_2 % 14.35/2.81 | (38) aInteger0(all_25_4) = all_47_0 % 14.35/2.81 | (39) aInteger0(all_27_0) = all_47_1 % 14.35/2.81 | (40) ~ (all_47_1 = 0) | ~ (all_47_2 = 0) | all_47_0 = 0 % 14.35/2.81 | % 14.35/2.81 | DELTA: instantiating (29) with fresh symbols all_49_0, all_49_1, all_49_2 % 14.35/2.81 | gives: % 14.35/2.81 | (41) aInteger0(all_25_6) = all_49_0 & aInteger0(xq) = all_49_1 & % 14.35/2.81 | aInteger0(xp) = all_49_2 & ( ~ (all_49_1 = 0) | ~ (all_49_2 = 0) | % 14.35/2.81 | all_49_0 = 0) % 14.35/2.81 | % 14.35/2.81 | ALPHA: (41) implies: % 14.35/2.81 | (42) aInteger0(xp) = all_49_2 % 14.35/2.81 | (43) aInteger0(xq) = all_49_1 % 14.35/2.81 | (44) aInteger0(all_25_6) = all_49_0 % 14.35/2.81 | (45) ~ (all_49_1 = 0) | ~ (all_49_2 = 0) | all_49_0 = 0 % 14.35/2.81 | % 14.35/2.81 | DELTA: instantiating (28) with fresh symbols all_51_0, all_51_1, all_51_2 % 14.35/2.81 | gives: % 14.35/2.81 | (46) sdtasdt0(xq, xp) = all_51_0 & aInteger0(xq) = all_51_1 & aInteger0(xp) % 14.35/2.81 | = all_51_2 & $i(all_51_0) & ( ~ (all_51_1 = 0) | ~ (all_51_2 = 0) | % 14.35/2.81 | all_51_0 = all_25_6) % 14.35/2.81 | % 14.35/2.81 | ALPHA: (46) implies: % 14.35/2.81 | (47) $i(all_51_0) % 14.35/2.81 | (48) aInteger0(xp) = all_51_2 % 14.35/2.81 | (49) aInteger0(xq) = all_51_1 % 14.35/2.81 | (50) sdtasdt0(xq, xp) = all_51_0 % 14.35/2.81 | (51) ~ (all_51_1 = 0) | ~ (all_51_2 = 0) | all_51_0 = all_25_6 % 14.35/2.81 | % 14.35/2.81 | DELTA: instantiating (31) with fresh symbols all_55_0, all_55_1, all_55_2 % 14.35/2.81 | gives: % 14.35/2.81 | (52) sdtasdt0(all_27_0, all_25_6) = all_55_0 & aInteger0(all_27_0) = % 14.35/2.81 | all_55_1 & aInteger0(all_25_6) = all_55_2 & $i(all_55_0) & ( ~ % 14.35/2.81 | (all_55_1 = 0) | ~ (all_55_2 = 0) | all_55_0 = all_25_4) % 14.35/2.81 | % 14.35/2.81 | ALPHA: (52) implies: % 14.35/2.81 | (53) aInteger0(all_25_6) = all_55_2 % 14.35/2.81 | (54) aInteger0(all_27_0) = all_55_1 % 14.35/2.81 | % 14.35/2.81 | DELTA: instantiating (30) with fresh symbols all_57_0, all_57_1, all_57_2, % 14.35/2.81 | all_57_3, all_57_4 gives: % 14.35/2.81 | (55) sdtasdt0(xq, all_27_0) = all_57_1 & sdtasdt0(xp, all_57_1) = all_57_0 % 14.35/2.81 | & aInteger0(all_27_0) = all_57_2 & aInteger0(xq) = all_57_3 & % 14.35/2.81 | aInteger0(xp) = all_57_4 & $i(all_57_0) & $i(all_57_1) & ( ~ (all_57_2 % 14.35/2.81 | = 0) | ~ (all_57_3 = 0) | ~ (all_57_4 = 0) | all_57_0 = % 14.35/2.81 | all_25_4) % 14.35/2.81 | % 14.35/2.81 | ALPHA: (55) implies: % 14.35/2.81 | (56) $i(all_57_1) % 14.35/2.81 | (57) $i(all_57_0) % 14.35/2.81 | (58) aInteger0(xp) = all_57_4 % 14.35/2.81 | (59) aInteger0(xq) = all_57_3 % 14.35/2.81 | (60) aInteger0(all_27_0) = all_57_2 % 14.35/2.81 | (61) sdtasdt0(xp, all_57_1) = all_57_0 % 14.35/2.81 | (62) sdtasdt0(xq, all_27_0) = all_57_1 % 14.35/2.81 | (63) ~ (all_57_2 = 0) | ~ (all_57_3 = 0) | ~ (all_57_4 = 0) | all_57_0 = % 14.35/2.81 | all_25_4 % 14.35/2.81 | % 14.35/2.81 | BETA: splitting (33) gives: % 14.35/2.81 | % 14.35/2.81 | Case 1: % 14.35/2.81 | | % 14.35/2.81 | | (64) all_25_6 = sz00 % 14.35/2.81 | | % 14.35/2.81 | | REDUCE: (13), (64) imply: % 14.35/2.81 | | (65) $false % 14.35/2.81 | | % 14.35/2.81 | | CLOSE: (65) is inconsistent. % 14.35/2.81 | | % 14.35/2.81 | Case 2: % 14.35/2.81 | | % 14.35/2.82 | | (66) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 14.35/2.82 | | (sdteqdtlpzmzozddtrp0(xb, xa, all_25_6) = v3 & aInteger0(all_25_6) = % 14.35/2.82 | | v2 & aInteger0(xb) = v1 & aInteger0(xa) = v0 & ( ~ (v2 = 0) | ~ % 14.35/2.82 | | (v1 = 0) | ~ (v0 = 0) | v3 = 0)) % 14.35/2.82 | | % 14.35/2.82 | | DELTA: instantiating (66) with fresh symbols all_63_0, all_63_1, all_63_2, % 14.35/2.82 | | all_63_3 gives: % 14.35/2.82 | | (67) sdteqdtlpzmzozddtrp0(xb, xa, all_25_6) = all_63_0 & % 14.35/2.82 | | aInteger0(all_25_6) = all_63_1 & aInteger0(xb) = all_63_2 & % 14.35/2.82 | | aInteger0(xa) = all_63_3 & ( ~ (all_63_1 = 0) | ~ (all_63_2 = 0) | % 14.35/2.82 | | ~ (all_63_3 = 0) | all_63_0 = 0) % 14.35/2.82 | | % 14.35/2.82 | | ALPHA: (67) implies: % 14.35/2.82 | | (68) aInteger0(all_25_6) = all_63_1 % 14.35/2.82 | | % 14.35/2.82 | | GROUND_INST: instantiating (11) with 0, all_51_2, xp, simplifying with (4), % 14.35/2.82 | | (48) gives: % 14.35/2.82 | | (69) all_51_2 = 0 % 14.35/2.82 | | % 14.35/2.82 | | GROUND_INST: instantiating (11) with all_51_2, all_57_4, xp, simplifying % 14.35/2.82 | | with (48), (58) gives: % 14.35/2.82 | | (70) all_57_4 = all_51_2 % 14.35/2.82 | | % 14.35/2.82 | | GROUND_INST: instantiating (11) with all_49_2, all_57_4, xp, simplifying % 14.35/2.82 | | with (42), (58) gives: % 14.35/2.82 | | (71) all_57_4 = all_49_2 % 14.35/2.82 | | % 14.35/2.82 | | GROUND_INST: instantiating (11) with 0, all_57_3, xq, simplifying with (5), % 14.35/2.82 | | (59) gives: % 14.35/2.82 | | (72) all_57_3 = 0 % 14.35/2.82 | | % 14.35/2.82 | | GROUND_INST: instantiating (11) with all_51_1, all_57_3, xq, simplifying % 14.35/2.82 | | with (49), (59) gives: % 14.35/2.82 | | (73) all_57_3 = all_51_1 % 14.35/2.82 | | % 14.35/2.82 | | GROUND_INST: instantiating (11) with all_49_1, all_57_3, xq, simplifying % 14.35/2.82 | | with (43), (59) gives: % 14.35/2.82 | | (74) all_57_3 = all_49_1 % 14.35/2.82 | | % 14.35/2.82 | | GROUND_INST: instantiating (11) with all_49_0, all_55_2, all_25_6, % 14.35/2.82 | | simplifying with (44), (53) gives: % 14.35/2.82 | | (75) all_55_2 = all_49_0 % 14.35/2.82 | | % 14.35/2.82 | | GROUND_INST: instantiating (11) with all_55_2, all_63_1, all_25_6, % 14.35/2.82 | | simplifying with (53), (68) gives: % 14.35/2.82 | | (76) all_63_1 = all_55_2 % 14.35/2.82 | | % 14.35/2.82 | | GROUND_INST: instantiating (11) with all_47_2, all_63_1, all_25_6, % 14.35/2.82 | | simplifying with (37), (68) gives: % 14.35/2.82 | | (77) all_63_1 = all_47_2 % 14.35/2.82 | | % 14.35/2.82 | | GROUND_INST: instantiating (11) with all_45_0, all_47_0, all_25_4, % 14.35/2.82 | | simplifying with (35), (38) gives: % 14.35/2.82 | | (78) all_47_0 = all_45_0 % 14.35/2.82 | | % 14.35/2.82 | | GROUND_INST: instantiating (11) with 0, all_57_2, all_27_0, simplifying with % 14.35/2.82 | | (25), (60) gives: % 14.35/2.82 | | (79) all_57_2 = 0 % 14.35/2.82 | | % 14.35/2.82 | | GROUND_INST: instantiating (11) with all_55_1, all_57_2, all_27_0, % 14.35/2.82 | | simplifying with (54), (60) gives: % 14.35/2.82 | | (80) all_57_2 = all_55_1 % 14.35/2.82 | | % 14.35/2.82 | | GROUND_INST: instantiating (11) with all_47_1, all_57_2, all_27_0, % 14.35/2.82 | | simplifying with (39), (60) gives: % 14.35/2.82 | | (81) all_57_2 = all_47_1 % 14.35/2.82 | | % 14.35/2.82 | | COMBINE_EQS: (76), (77) imply: % 14.35/2.82 | | (82) all_55_2 = all_47_2 % 14.35/2.82 | | % 14.35/2.82 | | SIMP: (82) implies: % 14.35/2.82 | | (83) all_55_2 = all_47_2 % 14.35/2.82 | | % 14.35/2.82 | | COMBINE_EQS: (80), (81) imply: % 14.35/2.82 | | (84) all_55_1 = all_47_1 % 14.35/2.82 | | % 14.35/2.82 | | COMBINE_EQS: (79), (80) imply: % 14.35/2.82 | | (85) all_55_1 = 0 % 14.35/2.82 | | % 14.35/2.82 | | COMBINE_EQS: (72), (73) imply: % 14.35/2.82 | | (86) all_51_1 = 0 % 14.35/2.82 | | % 14.35/2.82 | | COMBINE_EQS: (73), (74) imply: % 14.35/2.82 | | (87) all_51_1 = all_49_1 % 14.35/2.82 | | % 14.35/2.82 | | COMBINE_EQS: (70), (71) imply: % 14.35/2.82 | | (88) all_51_2 = all_49_2 % 14.35/2.82 | | % 14.35/2.82 | | SIMP: (88) implies: % 14.35/2.82 | | (89) all_51_2 = all_49_2 % 14.35/2.82 | | % 14.35/2.82 | | COMBINE_EQS: (84), (85) imply: % 14.35/2.82 | | (90) all_47_1 = 0 % 14.35/2.82 | | % 14.35/2.82 | | COMBINE_EQS: (75), (83) imply: % 14.35/2.82 | | (91) all_49_0 = all_47_2 % 14.35/2.82 | | % 14.35/2.82 | | SIMP: (91) implies: % 14.35/2.82 | | (92) all_49_0 = all_47_2 % 14.35/2.82 | | % 14.35/2.82 | | COMBINE_EQS: (86), (87) imply: % 14.35/2.82 | | (93) all_49_1 = 0 % 14.35/2.82 | | % 14.35/2.82 | | COMBINE_EQS: (69), (89) imply: % 14.35/2.82 | | (94) all_49_2 = 0 % 14.35/2.82 | | % 14.35/2.82 | | COMBINE_EQS: (71), (94) imply: % 14.35/2.82 | | (95) all_57_4 = 0 % 14.35/2.82 | | % 14.35/2.82 | | BETA: splitting (45) gives: % 14.35/2.82 | | % 14.35/2.82 | | Case 1: % 14.35/2.82 | | | % 14.35/2.82 | | | (96) ~ (all_49_1 = 0) % 14.35/2.83 | | | % 14.35/2.83 | | | REDUCE: (93), (96) imply: % 14.35/2.83 | | | (97) $false % 14.35/2.83 | | | % 14.35/2.83 | | | CLOSE: (97) is inconsistent. % 14.35/2.83 | | | % 14.35/2.83 | | Case 2: % 14.35/2.83 | | | % 14.35/2.83 | | | (98) ~ (all_49_2 = 0) | all_49_0 = 0 % 14.35/2.83 | | | % 14.35/2.83 | | | BETA: splitting (98) gives: % 14.35/2.83 | | | % 14.35/2.83 | | | Case 1: % 14.35/2.83 | | | | % 14.35/2.83 | | | | (99) ~ (all_49_2 = 0) % 14.35/2.83 | | | | % 14.35/2.83 | | | | REDUCE: (94), (99) imply: % 14.35/2.83 | | | | (100) $false % 14.35/2.83 | | | | % 14.35/2.83 | | | | CLOSE: (100) is inconsistent. % 14.35/2.83 | | | | % 14.35/2.83 | | | Case 2: % 14.35/2.83 | | | | % 14.35/2.83 | | | | (101) all_49_0 = 0 % 14.35/2.83 | | | | % 14.35/2.83 | | | | COMBINE_EQS: (92), (101) imply: % 14.35/2.83 | | | | (102) all_47_2 = 0 % 14.35/2.83 | | | | % 14.35/2.83 | | | | SIMP: (102) implies: % 14.35/2.83 | | | | (103) all_47_2 = 0 % 14.35/2.83 | | | | % 14.35/2.83 | | | | BETA: splitting (40) gives: % 14.35/2.83 | | | | % 14.35/2.83 | | | | Case 1: % 14.35/2.83 | | | | | % 14.35/2.83 | | | | | (104) ~ (all_47_1 = 0) % 14.35/2.83 | | | | | % 14.35/2.83 | | | | | REDUCE: (90), (104) imply: % 14.35/2.83 | | | | | (105) $false % 14.35/2.83 | | | | | % 14.35/2.83 | | | | | CLOSE: (105) is inconsistent. % 14.35/2.83 | | | | | % 14.35/2.83 | | | | Case 2: % 14.35/2.83 | | | | | % 14.35/2.83 | | | | | (106) ~ (all_47_2 = 0) | all_47_0 = 0 % 14.35/2.83 | | | | | % 14.35/2.83 | | | | | BETA: splitting (106) gives: % 14.35/2.83 | | | | | % 14.35/2.83 | | | | | Case 1: % 14.35/2.83 | | | | | | % 14.35/2.83 | | | | | | (107) ~ (all_47_2 = 0) % 14.35/2.83 | | | | | | % 14.35/2.83 | | | | | | REDUCE: (103), (107) imply: % 14.35/2.83 | | | | | | (108) $false % 14.35/2.83 | | | | | | % 14.35/2.83 | | | | | | CLOSE: (108) is inconsistent. % 14.35/2.83 | | | | | | % 14.35/2.83 | | | | | Case 2: % 14.35/2.83 | | | | | | % 14.35/2.83 | | | | | | (109) all_47_0 = 0 % 14.35/2.83 | | | | | | % 14.35/2.83 | | | | | | COMBINE_EQS: (78), (109) imply: % 14.35/2.83 | | | | | | (110) all_45_0 = 0 % 14.35/2.83 | | | | | | % 14.35/2.83 | | | | | | SIMP: (110) implies: % 14.35/2.83 | | | | | | (111) all_45_0 = 0 % 14.35/2.83 | | | | | | % 14.35/2.83 | | | | | | REDUCE: (35), (111) imply: % 14.35/2.83 | | | | | | (112) aInteger0(all_25_4) = 0 % 14.35/2.83 | | | | | | % 14.35/2.83 | | | | | | BETA: splitting (51) gives: % 14.35/2.83 | | | | | | % 14.35/2.83 | | | | | | Case 1: % 14.35/2.83 | | | | | | | % 14.35/2.83 | | | | | | | (113) ~ (all_51_1 = 0) % 14.35/2.83 | | | | | | | % 14.35/2.83 | | | | | | | REDUCE: (86), (113) imply: % 14.35/2.83 | | | | | | | (114) $false % 14.35/2.83 | | | | | | | % 14.35/2.83 | | | | | | | CLOSE: (114) is inconsistent. % 14.35/2.83 | | | | | | | % 14.35/2.83 | | | | | | Case 2: % 14.35/2.83 | | | | | | | % 14.35/2.83 | | | | | | | (115) ~ (all_51_2 = 0) | all_51_0 = all_25_6 % 14.35/2.83 | | | | | | | % 14.35/2.83 | | | | | | | BETA: splitting (115) gives: % 14.35/2.83 | | | | | | | % 14.35/2.83 | | | | | | | Case 1: % 14.35/2.83 | | | | | | | | % 14.35/2.83 | | | | | | | | (116) ~ (all_51_2 = 0) % 14.35/2.83 | | | | | | | | % 14.35/2.83 | | | | | | | | REDUCE: (69), (116) imply: % 14.35/2.83 | | | | | | | | (117) $false % 14.35/2.83 | | | | | | | | % 14.35/2.83 | | | | | | | | CLOSE: (117) is inconsistent. % 14.35/2.83 | | | | | | | | % 14.35/2.83 | | | | | | | Case 2: % 14.35/2.83 | | | | | | | | % 14.35/2.83 | | | | | | | | (118) all_51_0 = all_25_6 % 14.35/2.83 | | | | | | | | % 14.35/2.83 | | | | | | | | REDUCE: (50), (118) imply: % 14.35/2.83 | | | | | | | | (119) sdtasdt0(xq, xp) = all_25_6 % 14.35/2.83 | | | | | | | | % 14.35/2.83 | | | | | | | | BETA: splitting (63) gives: % 14.35/2.83 | | | | | | | | % 14.35/2.83 | | | | | | | | Case 1: % 14.35/2.83 | | | | | | | | | % 14.35/2.83 | | | | | | | | | (120) ~ (all_57_2 = 0) % 14.35/2.83 | | | | | | | | | % 14.35/2.83 | | | | | | | | | REDUCE: (79), (120) imply: % 14.35/2.83 | | | | | | | | | (121) $false % 14.35/2.83 | | | | | | | | | % 14.35/2.83 | | | | | | | | | CLOSE: (121) is inconsistent. % 14.35/2.83 | | | | | | | | | % 14.35/2.83 | | | | | | | | Case 2: % 14.35/2.83 | | | | | | | | | % 14.35/2.83 | | | | | | | | | (122) ~ (all_57_3 = 0) | ~ (all_57_4 = 0) | all_57_0 = % 14.35/2.83 | | | | | | | | | all_25_4 % 14.35/2.83 | | | | | | | | | % 14.35/2.83 | | | | | | | | | BETA: splitting (122) gives: % 14.35/2.83 | | | | | | | | | % 14.35/2.83 | | | | | | | | | Case 1: % 14.35/2.83 | | | | | | | | | | % 14.35/2.83 | | | | | | | | | | (123) ~ (all_57_3 = 0) % 14.35/2.83 | | | | | | | | | | % 14.35/2.83 | | | | | | | | | | REDUCE: (72), (123) imply: % 14.35/2.83 | | | | | | | | | | (124) $false % 14.35/2.83 | | | | | | | | | | % 14.35/2.83 | | | | | | | | | | CLOSE: (124) is inconsistent. % 14.35/2.83 | | | | | | | | | | % 14.35/2.83 | | | | | | | | | Case 2: % 14.35/2.83 | | | | | | | | | | % 14.35/2.83 | | | | | | | | | | (125) ~ (all_57_4 = 0) | all_57_0 = all_25_4 % 14.35/2.83 | | | | | | | | | | % 14.35/2.83 | | | | | | | | | | BETA: splitting (125) gives: % 14.35/2.83 | | | | | | | | | | % 14.35/2.83 | | | | | | | | | | Case 1: % 14.35/2.83 | | | | | | | | | | | % 14.35/2.83 | | | | | | | | | | | (126) ~ (all_57_4 = 0) % 14.35/2.83 | | | | | | | | | | | % 14.35/2.83 | | | | | | | | | | | REDUCE: (95), (126) imply: % 14.35/2.83 | | | | | | | | | | | (127) $false % 14.35/2.83 | | | | | | | | | | | % 14.35/2.83 | | | | | | | | | | | CLOSE: (127) is inconsistent. % 14.35/2.83 | | | | | | | | | | | % 14.35/2.83 | | | | | | | | | | Case 2: % 14.35/2.83 | | | | | | | | | | | % 14.35/2.83 | | | | | | | | | | | (128) all_57_0 = all_25_4 % 14.35/2.83 | | | | | | | | | | | % 14.35/2.83 | | | | | | | | | | | REDUCE: (61), (128) imply: % 14.35/2.83 | | | | | | | | | | | (129) sdtasdt0(xp, all_57_1) = all_25_4 % 14.35/2.83 | | | | | | | | | | | % 14.35/2.83 | | | | | | | | | | | REDUCE: (57), (128) imply: % 14.35/2.83 | | | | | | | | | | | (130) $i(all_25_4) % 14.35/2.83 | | | | | | | | | | | % 14.35/2.83 | | | | | | | | | | | GROUND_INST: instantiating (1) with all_25_4, simplifying with % 14.35/2.83 | | | | | | | | | | | (112), (130) gives: % 14.35/2.83 | | | | | | | | | | | (131) ! [v0: $i] : ! [v1: int] : (v1 = 0 | v0 = sz00 | % 14.35/2.83 | | | | | | | | | | | ~ (aDivisorOf0(v0, all_25_4) = v1) | ~ $i(v0) % 14.35/2.83 | | | | | | | | | | | | ? [v2: int] : ( ~ (v2 = 0) & aInteger0(v0) = % 14.35/2.83 | | | | | | | | | | | v2) | ! [v2: $i] : ( ~ (sdtasdt0(v0, v2) = % 14.35/2.83 | | | | | | | | | | | all_25_4) | ~ $i(v2) | ? [v3: int] : ( ~ % 14.35/2.83 | | | | | | | | | | | (v3 = 0) & aInteger0(v2) = v3))) & ! [v0: % 14.35/2.83 | | | | | | | | | | | $i] : ( ~ (aDivisorOf0(v0, all_25_4) = 0) | ~ % 14.35/2.83 | | | | | | | | | | | $i(v0) | ( ~ (v0 = sz00) & aInteger0(v0) = 0 & % 14.35/2.83 | | | | | | | | | | | ? [v1: $i] : (sdtasdt0(v0, v1) = all_25_4 & % 14.35/2.83 | | | | | | | | | | | aInteger0(v1) = 0 & $i(v1)))) % 14.35/2.83 | | | | | | | | | | | % 14.35/2.83 | | | | | | | | | | | ALPHA: (131) implies: % 14.35/2.84 | | | | | | | | | | | (132) ! [v0: $i] : ( ~ (aDivisorOf0(v0, all_25_4) = 0) % 14.35/2.84 | | | | | | | | | | | | ~ $i(v0) | ( ~ (v0 = sz00) & aInteger0(v0) = % 14.35/2.84 | | | | | | | | | | | 0 & ? [v1: $i] : (sdtasdt0(v0, v1) = all_25_4 % 14.35/2.84 | | | | | | | | | | | & aInteger0(v1) = 0 & $i(v1)))) % 14.35/2.84 | | | | | | | | | | | (133) ! [v0: $i] : ! [v1: int] : (v1 = 0 | v0 = sz00 | % 14.35/2.84 | | | | | | | | | | | ~ (aDivisorOf0(v0, all_25_4) = v1) | ~ $i(v0) % 14.35/2.84 | | | | | | | | | | | | ? [v2: int] : ( ~ (v2 = 0) & aInteger0(v0) = % 14.35/2.84 | | | | | | | | | | | v2) | ! [v2: $i] : ( ~ (sdtasdt0(v0, v2) = % 14.35/2.84 | | | | | | | | | | | all_25_4) | ~ $i(v2) | ? [v3: int] : ( ~ % 14.35/2.84 | | | | | | | | | | | (v3 = 0) & aInteger0(v2) = v3))) % 14.35/2.84 | | | | | | | | | | | % 14.35/2.84 | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xp, all_57_1, % 14.35/2.84 | | | | | | | | | | | all_25_4, simplifying with (8), (56), (129) gives: % 14.35/2.84 | | | | | | | | | | | (134) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 14.35/2.84 | | | | | | | | | | | (sdtasdt0(all_57_1, xp) = v2 & aInteger0(all_57_1) % 14.35/2.84 | | | | | | | | | | | = v1 & aInteger0(xp) = v0 & $i(v2) & ( ~ (v1 = % 14.35/2.84 | | | | | | | | | | | 0) | ~ (v0 = 0) | v2 = all_25_4)) % 14.35/2.84 | | | | | | | | | | | % 14.35/2.84 | | | | | | | | | | | GROUND_INST: instantiating (mIntMult) with xp, all_57_1, % 14.35/2.84 | | | | | | | | | | | all_25_4, simplifying with (8), (56), (129) gives: % 14.35/2.84 | | | | | | | | | | | (135) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 14.35/2.84 | | | | | | | | | | | (aInteger0(all_57_1) = v1 & aInteger0(all_25_4) = % 14.35/2.84 | | | | | | | | | | | v2 & aInteger0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 % 14.35/2.84 | | | | | | | | | | | = 0) | v2 = 0)) % 14.35/2.84 | | | | | | | | | | | % 14.35/2.84 | | | | | | | | | | | GROUND_INST: instantiating (mMulAsso) with xq, xp, all_27_0, % 14.35/2.84 | | | | | | | | | | | all_25_6, all_25_4, simplifying with (8), (9), % 14.35/2.84 | | | | | | | | | | | (24), (26), (119) gives: % 14.35/2.84 | | | | | | | | | | | (136) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 14.35/2.84 | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtasdt0(xq, v3) = v4 & % 14.35/2.84 | | | | | | | | | | | sdtasdt0(xp, all_27_0) = v3 & % 14.35/2.84 | | | | | | | | | | | aInteger0(all_27_0) = v2 & aInteger0(xq) = v0 & % 14.35/2.84 | | | | | | | | | | | aInteger0(xp) = v1 & $i(v4) & $i(v3) & ( ~ (v2 = % 14.35/2.84 | | | | | | | | | | | 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = % 14.35/2.84 | | | | | | | | | | | all_25_4)) % 14.35/2.84 | | | | | | | | | | | % 14.35/2.84 | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xq, all_27_0, % 14.35/2.84 | | | | | | | | | | | all_57_1, simplifying with (9), (24), (62) gives: % 14.35/2.84 | | | | | | | | | | | (137) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 14.35/2.84 | | | | | | | | | | | (sdtasdt0(all_27_0, xq) = v2 & aInteger0(all_27_0) % 14.35/2.84 | | | | | | | | | | | = v1 & aInteger0(xq) = v0 & $i(v2) & ( ~ (v1 = % 14.35/2.84 | | | | | | | | | | | 0) | ~ (v0 = 0) | v2 = all_57_1)) % 14.35/2.84 | | | | | | | | | | | % 14.35/2.84 | | | | | | | | | | | GROUND_INST: instantiating (mIntMult) with xq, all_27_0, % 14.35/2.84 | | | | | | | | | | | all_57_1, simplifying with (9), (24), (62) gives: % 14.35/2.84 | | | | | | | | | | | (138) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 14.35/2.84 | | | | | | | | | | | (aInteger0(all_57_1) = v2 & aInteger0(all_27_0) = % 14.35/2.84 | | | | | | | | | | | v1 & aInteger0(xq) = v0 & ( ~ (v1 = 0) | ~ (v0 % 14.35/2.84 | | | | | | | | | | | = 0) | v2 = 0)) % 14.35/2.84 | | | | | | | | | | | % 14.35/2.84 | | | | | | | | | | | GROUND_INST: instantiating (133) with xq, all_25_1, simplifying % 14.35/2.84 | | | | | | | | | | | with (9), (18) gives: % 14.35/2.84 | | | | | | | | | | | (139) all_25_1 = 0 | xq = sz00 | ? [v0: int] : ( ~ (v0 % 14.35/2.84 | | | | | | | | | | | = 0) & aInteger0(xq) = v0) | ! [v0: $i] : ( ~ % 14.35/2.84 | | | | | | | | | | | (sdtasdt0(xq, v0) = all_25_4) | ~ $i(v0) | ? % 14.35/2.84 | | | | | | | | | | | [v1: int] : ( ~ (v1 = 0) & aInteger0(v0) = v1)) % 14.35/2.84 | | | | | | | | | | | % 14.35/2.84 | | | | | | | | | | | GROUND_INST: instantiating (132) with all_25_6, simplifying % 14.35/2.84 | | | | | | | | | | | with (14), (19) gives: % 14.35/2.84 | | | | | | | | | | | (140) ~ (all_25_6 = sz00) & aInteger0(all_25_6) = 0 & % 14.35/2.84 | | | | | | | | | | | ? [v0: $i] : (sdtasdt0(all_25_6, v0) = all_25_4 & % 14.35/2.84 | | | | | | | | | | | aInteger0(v0) = 0 & $i(v0)) % 14.35/2.84 | | | | | | | | | | | % 14.35/2.84 | | | | | | | | | | | DELTA: instantiating (22) with fresh symbol all_155_0 % 14.35/2.84 | | | | | | | | | | | gives: % 14.35/2.84 | | | | | | | | | | | (141) sdtasdt0(all_25_6, all_155_0) = all_25_4 & % 14.35/2.84 | | | | | | | | | | | aInteger0(all_155_0) = 0 & $i(all_155_0) % 14.35/2.84 | | | | | | | | | | | % 14.35/2.84 | | | | | | | | | | | ALPHA: (141) implies: % 14.35/2.84 | | | | | | | | | | | (142) $i(all_155_0) % 14.35/2.84 | | | | | | | | | | | (143) sdtasdt0(all_25_6, all_155_0) = all_25_4 % 14.35/2.84 | | | | | | | | | | | % 14.35/2.84 | | | | | | | | | | | DELTA: instantiating (138) with fresh symbols all_157_0, % 14.35/2.84 | | | | | | | | | | | all_157_1, all_157_2 gives: % 14.35/2.84 | | | | | | | | | | | (144) aInteger0(all_57_1) = all_157_0 & % 14.35/2.84 | | | | | | | | | | | aInteger0(all_27_0) = all_157_1 & aInteger0(xq) = % 14.35/2.84 | | | | | | | | | | | all_157_2 & ( ~ (all_157_1 = 0) | ~ (all_157_2 = % 14.35/2.84 | | | | | | | | | | | 0) | all_157_0 = 0) % 14.35/2.84 | | | | | | | | | | | % 14.35/2.84 | | | | | | | | | | | ALPHA: (144) implies: % 14.35/2.84 | | | | | | | | | | | (145) aInteger0(xq) = all_157_2 % 14.35/2.84 | | | | | | | | | | | (146) aInteger0(all_27_0) = all_157_1 % 14.35/2.84 | | | | | | | | | | | (147) aInteger0(all_57_1) = all_157_0 % 14.35/2.84 | | | | | | | | | | | (148) ~ (all_157_1 = 0) | ~ (all_157_2 = 0) | % 14.35/2.84 | | | | | | | | | | | all_157_0 = 0 % 14.35/2.84 | | | | | | | | | | | % 14.35/2.84 | | | | | | | | | | | DELTA: instantiating (135) with fresh symbols all_159_0, % 14.35/2.84 | | | | | | | | | | | all_159_1, all_159_2 gives: % 14.35/2.84 | | | | | | | | | | | (149) aInteger0(all_57_1) = all_159_1 & % 14.35/2.84 | | | | | | | | | | | aInteger0(all_25_4) = all_159_0 & aInteger0(xp) = % 14.35/2.84 | | | | | | | | | | | all_159_2 & ( ~ (all_159_1 = 0) | ~ (all_159_2 = % 14.35/2.84 | | | | | | | | | | | 0) | all_159_0 = 0) % 14.35/2.84 | | | | | | | | | | | % 14.35/2.84 | | | | | | | | | | | ALPHA: (149) implies: % 14.35/2.85 | | | | | | | | | | | (150) aInteger0(xp) = all_159_2 % 14.35/2.85 | | | | | | | | | | | (151) aInteger0(all_57_1) = all_159_1 % 14.35/2.85 | | | | | | | | | | | % 14.35/2.85 | | | | | | | | | | | DELTA: instantiating (134) with fresh symbols all_161_0, % 14.35/2.85 | | | | | | | | | | | all_161_1, all_161_2 gives: % 14.35/2.85 | | | | | | | | | | | (152) sdtasdt0(all_57_1, xp) = all_161_0 & % 14.35/2.85 | | | | | | | | | | | aInteger0(all_57_1) = all_161_1 & aInteger0(xp) = % 14.35/2.85 | | | | | | | | | | | all_161_2 & $i(all_161_0) & ( ~ (all_161_1 = 0) | % 14.35/2.85 | | | | | | | | | | | ~ (all_161_2 = 0) | all_161_0 = all_25_4) % 14.35/2.85 | | | | | | | | | | | % 14.35/2.85 | | | | | | | | | | | ALPHA: (152) implies: % 14.35/2.85 | | | | | | | | | | | (153) aInteger0(xp) = all_161_2 % 14.35/2.85 | | | | | | | | | | | (154) aInteger0(all_57_1) = all_161_1 % 14.35/2.85 | | | | | | | | | | | (155) sdtasdt0(all_57_1, xp) = all_161_0 % 14.35/2.85 | | | | | | | | | | | (156) ~ (all_161_1 = 0) | ~ (all_161_2 = 0) | % 14.35/2.85 | | | | | | | | | | | all_161_0 = all_25_4 % 14.35/2.85 | | | | | | | | | | | % 14.35/2.85 | | | | | | | | | | | DELTA: instantiating (137) with fresh symbols all_163_0, % 14.35/2.85 | | | | | | | | | | | all_163_1, all_163_2 gives: % 14.35/2.85 | | | | | | | | | | | (157) sdtasdt0(all_27_0, xq) = all_163_0 & % 14.35/2.85 | | | | | | | | | | | aInteger0(all_27_0) = all_163_1 & aInteger0(xq) = % 14.35/2.85 | | | | | | | | | | | all_163_2 & $i(all_163_0) & ( ~ (all_163_1 = 0) | % 14.35/2.85 | | | | | | | | | | | ~ (all_163_2 = 0) | all_163_0 = all_57_1) % 14.35/2.85 | | | | | | | | | | | % 14.35/2.85 | | | | | | | | | | | ALPHA: (157) implies: % 14.35/2.85 | | | | | | | | | | | (158) aInteger0(xq) = all_163_2 % 14.35/2.85 | | | | | | | | | | | (159) aInteger0(all_27_0) = all_163_1 % 14.35/2.85 | | | | | | | | | | | % 14.35/2.85 | | | | | | | | | | | DELTA: instantiating (136) with fresh symbols all_165_0, % 14.35/2.85 | | | | | | | | | | | all_165_1, all_165_2, all_165_3, all_165_4 gives: % 14.35/2.85 | | | | | | | | | | | (160) sdtasdt0(xq, all_165_1) = all_165_0 & sdtasdt0(xp, % 14.35/2.85 | | | | | | | | | | | all_27_0) = all_165_1 & aInteger0(all_27_0) = % 14.35/2.85 | | | | | | | | | | | all_165_2 & aInteger0(xq) = all_165_4 & % 14.35/2.85 | | | | | | | | | | | aInteger0(xp) = all_165_3 & $i(all_165_0) & % 14.35/2.85 | | | | | | | | | | | $i(all_165_1) & ( ~ (all_165_2 = 0) | ~ % 14.35/2.85 | | | | | | | | | | | (all_165_3 = 0) | ~ (all_165_4 = 0) | all_165_0 % 14.35/2.85 | | | | | | | | | | | = all_25_4) % 14.35/2.85 | | | | | | | | | | | % 14.35/2.85 | | | | | | | | | | | ALPHA: (160) implies: % 14.35/2.85 | | | | | | | | | | | (161) $i(all_165_1) % 14.35/2.85 | | | | | | | | | | | (162) aInteger0(xp) = all_165_3 % 14.35/2.85 | | | | | | | | | | | (163) aInteger0(xq) = all_165_4 % 14.35/2.85 | | | | | | | | | | | (164) aInteger0(all_27_0) = all_165_2 % 14.35/2.85 | | | | | | | | | | | (165) sdtasdt0(xp, all_27_0) = all_165_1 % 14.35/2.85 | | | | | | | | | | | (166) sdtasdt0(xq, all_165_1) = all_165_0 % 14.35/2.85 | | | | | | | | | | | (167) ~ (all_165_2 = 0) | ~ (all_165_3 = 0) | ~ % 14.35/2.85 | | | | | | | | | | | (all_165_4 = 0) | all_165_0 = all_25_4 % 14.35/2.85 | | | | | | | | | | | % 14.35/2.85 | | | | | | | | | | | GROUND_INST: instantiating (11) with all_159_2, all_161_2, xp, % 14.35/2.85 | | | | | | | | | | | simplifying with (150), (153) gives: % 14.35/2.85 | | | | | | | | | | | (168) all_161_2 = all_159_2 % 14.35/2.85 | | | | | | | | | | | % 14.35/2.85 | | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_165_3, xp, % 14.35/2.85 | | | | | | | | | | | simplifying with (4), (162) gives: % 14.35/2.85 | | | | | | | | | | | (169) all_165_3 = 0 % 14.35/2.85 | | | | | | | | | | | % 14.35/2.85 | | | | | | | | | | | GROUND_INST: instantiating (11) with all_161_2, all_165_3, xp, % 14.35/2.85 | | | | | | | | | | | simplifying with (153), (162) gives: % 14.35/2.85 | | | | | | | | | | | (170) all_165_3 = all_161_2 % 14.35/2.85 | | | | | | | | | | | % 14.35/2.85 | | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_165_4, xq, % 14.35/2.85 | | | | | | | | | | | simplifying with (5), (163) gives: % 14.35/2.85 | | | | | | | | | | | (171) all_165_4 = 0 % 14.35/2.85 | | | | | | | | | | | % 14.35/2.85 | | | | | | | | | | | GROUND_INST: instantiating (11) with all_163_2, all_165_4, xq, % 14.35/2.85 | | | | | | | | | | | simplifying with (158), (163) gives: % 14.35/2.85 | | | | | | | | | | | (172) all_165_4 = all_163_2 % 14.35/2.85 | | | | | | | | | | | % 14.35/2.85 | | | | | | | | | | | GROUND_INST: instantiating (11) with all_157_2, all_165_4, xq, % 14.35/2.85 | | | | | | | | | | | simplifying with (145), (163) gives: % 14.35/2.85 | | | | | | | | | | | (173) all_165_4 = all_157_2 % 14.35/2.85 | | | | | | | | | | | % 14.35/2.85 | | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_163_1, all_27_0, % 14.35/2.85 | | | | | | | | | | | simplifying with (25), (159) gives: % 14.35/2.85 | | | | | | | | | | | (174) all_163_1 = 0 % 14.35/2.85 | | | | | | | | | | | % 14.35/2.85 | | | | | | | | | | | GROUND_INST: instantiating (11) with all_163_1, all_165_2, % 14.35/2.85 | | | | | | | | | | | all_27_0, simplifying with (159), (164) gives: % 14.35/2.85 | | | | | | | | | | | (175) all_165_2 = all_163_1 % 14.35/2.85 | | | | | | | | | | | % 14.35/2.85 | | | | | | | | | | | GROUND_INST: instantiating (11) with all_157_1, all_165_2, % 14.35/2.85 | | | | | | | | | | | all_27_0, simplifying with (146), (164) gives: % 14.35/2.85 | | | | | | | | | | | (176) all_165_2 = all_157_1 % 14.35/2.85 | | | | | | | | | | | % 14.35/2.85 | | | | | | | | | | | GROUND_INST: instantiating (11) with all_159_1, all_161_1, % 14.35/2.85 | | | | | | | | | | | all_57_1, simplifying with (151), (154) gives: % 14.35/2.85 | | | | | | | | | | | (177) all_161_1 = all_159_1 % 14.35/2.85 | | | | | | | | | | | % 14.35/2.85 | | | | | | | | | | | GROUND_INST: instantiating (11) with all_157_0, all_161_1, % 14.35/2.85 | | | | | | | | | | | all_57_1, simplifying with (147), (154) gives: % 14.35/2.85 | | | | | | | | | | | (178) all_161_1 = all_157_0 % 14.35/2.85 | | | | | | | | | | | % 14.35/2.85 | | | | | | | | | | | COMBINE_EQS: (175), (176) imply: % 14.35/2.85 | | | | | | | | | | | (179) all_163_1 = all_157_1 % 14.35/2.85 | | | | | | | | | | | % 14.35/2.85 | | | | | | | | | | | SIMP: (179) implies: % 14.35/2.85 | | | | | | | | | | | (180) all_163_1 = all_157_1 % 14.35/2.85 | | | | | | | | | | | % 14.35/2.85 | | | | | | | | | | | COMBINE_EQS: (169), (170) imply: % 14.35/2.85 | | | | | | | | | | | (181) all_161_2 = 0 % 14.35/2.85 | | | | | | | | | | | % 14.35/2.85 | | | | | | | | | | | SIMP: (181) implies: % 14.35/2.85 | | | | | | | | | | | (182) all_161_2 = 0 % 15.07/2.85 | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | COMBINE_EQS: (172), (173) imply: % 15.07/2.85 | | | | | | | | | | | (183) all_163_2 = all_157_2 % 15.07/2.85 | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | COMBINE_EQS: (171), (172) imply: % 15.07/2.85 | | | | | | | | | | | (184) all_163_2 = 0 % 15.07/2.85 | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | COMBINE_EQS: (174), (180) imply: % 15.07/2.85 | | | | | | | | | | | (185) all_157_1 = 0 % 15.07/2.85 | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | SIMP: (185) implies: % 15.07/2.85 | | | | | | | | | | | (186) all_157_1 = 0 % 15.07/2.85 | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | COMBINE_EQS: (183), (184) imply: % 15.07/2.85 | | | | | | | | | | | (187) all_157_2 = 0 % 15.07/2.85 | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | SIMP: (187) implies: % 15.07/2.85 | | | | | | | | | | | (188) all_157_2 = 0 % 15.07/2.85 | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | COMBINE_EQS: (177), (178) imply: % 15.07/2.85 | | | | | | | | | | | (189) all_159_1 = all_157_0 % 15.07/2.85 | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | SIMP: (189) implies: % 15.07/2.85 | | | | | | | | | | | (190) all_159_1 = all_157_0 % 15.07/2.85 | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | COMBINE_EQS: (168), (182) imply: % 15.07/2.85 | | | | | | | | | | | (191) all_159_2 = 0 % 15.07/2.85 | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | SIMP: (191) implies: % 15.07/2.85 | | | | | | | | | | | (192) all_159_2 = 0 % 15.07/2.85 | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | COMBINE_EQS: (176), (186) imply: % 15.07/2.85 | | | | | | | | | | | (193) all_165_2 = 0 % 15.07/2.85 | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | BETA: splitting (167) gives: % 15.07/2.85 | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | Case 1: % 15.07/2.85 | | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | | (194) ~ (all_165_2 = 0) % 15.07/2.85 | | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | | REDUCE: (193), (194) imply: % 15.07/2.85 | | | | | | | | | | | | (195) $false % 15.07/2.85 | | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | | CLOSE: (195) is inconsistent. % 15.07/2.85 | | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | Case 2: % 15.07/2.85 | | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | | (196) ~ (all_165_3 = 0) | ~ (all_165_4 = 0) | % 15.07/2.85 | | | | | | | | | | | | all_165_0 = all_25_4 % 15.07/2.85 | | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | | BETA: splitting (196) gives: % 15.07/2.85 | | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | | Case 1: % 15.07/2.85 | | | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | | | (197) ~ (all_165_3 = 0) % 15.07/2.85 | | | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | | | REDUCE: (169), (197) imply: % 15.07/2.85 | | | | | | | | | | | | | (198) $false % 15.07/2.85 | | | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | | | CLOSE: (198) is inconsistent. % 15.07/2.85 | | | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | | Case 2: % 15.07/2.85 | | | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | | | (199) ~ (all_165_4 = 0) | all_165_0 = all_25_4 % 15.07/2.85 | | | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | | | BETA: splitting (148) gives: % 15.07/2.85 | | | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | | | Case 1: % 15.07/2.85 | | | | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | | | | (200) ~ (all_157_1 = 0) % 15.07/2.85 | | | | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | | | | REDUCE: (186), (200) imply: % 15.07/2.85 | | | | | | | | | | | | | | (201) $false % 15.07/2.85 | | | | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | | | | CLOSE: (201) is inconsistent. % 15.07/2.85 | | | | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | | | Case 2: % 15.07/2.85 | | | | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | | | | (202) ~ (all_157_2 = 0) | all_157_0 = 0 % 15.07/2.85 | | | | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | | | | BETA: splitting (202) gives: % 15.07/2.85 | | | | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | | | | Case 1: % 15.07/2.85 | | | | | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | | | | | (203) ~ (all_157_2 = 0) % 15.07/2.85 | | | | | | | | | | | | | | | % 15.07/2.85 | | | | | | | | | | | | | | | REDUCE: (188), (203) imply: % 15.07/2.86 | | | | | | | | | | | | | | | (204) $false % 15.07/2.86 | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | CLOSE: (204) is inconsistent. % 15.07/2.86 | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | Case 2: % 15.07/2.86 | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | (205) all_157_0 = 0 % 15.07/2.86 | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | COMBINE_EQS: (178), (205) imply: % 15.07/2.86 | | | | | | | | | | | | | | | (206) all_161_1 = 0 % 15.07/2.86 | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | REDUCE: (147), (205) imply: % 15.07/2.86 | | | | | | | | | | | | | | | (207) aInteger0(all_57_1) = 0 % 15.07/2.86 | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | BETA: splitting (199) gives: % 15.07/2.86 | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | Case 1: % 15.07/2.86 | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | (208) ~ (all_165_4 = 0) % 15.07/2.86 | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | REDUCE: (171), (208) imply: % 15.07/2.86 | | | | | | | | | | | | | | | | (209) $false % 15.07/2.86 | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | CLOSE: (209) is inconsistent. % 15.07/2.86 | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | Case 2: % 15.07/2.86 | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | (210) all_165_0 = all_25_4 % 15.07/2.86 | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | REDUCE: (166), (210) imply: % 15.07/2.86 | | | | | | | | | | | | | | | | (211) sdtasdt0(xq, all_165_1) = all_25_4 % 15.07/2.86 | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | BETA: splitting (156) gives: % 15.07/2.86 | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | Case 1: % 15.07/2.86 | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | (212) ~ (all_161_1 = 0) % 15.07/2.86 | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | REDUCE: (206), (212) imply: % 15.07/2.86 | | | | | | | | | | | | | | | | | (213) $false % 15.07/2.86 | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | CLOSE: (213) is inconsistent. % 15.07/2.86 | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | Case 2: % 15.07/2.86 | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | (214) ~ (all_161_2 = 0) | all_161_0 = all_25_4 % 15.07/2.86 | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | BETA: splitting (214) gives: % 15.07/2.86 | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | Case 1: % 15.07/2.86 | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | (215) ~ (all_161_2 = 0) % 15.07/2.86 | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | REDUCE: (182), (215) imply: % 15.07/2.86 | | | | | | | | | | | | | | | | | | (216) $false % 15.07/2.86 | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | CLOSE: (216) is inconsistent. % 15.07/2.86 | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | Case 2: % 15.07/2.86 | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | (217) all_161_0 = all_25_4 % 15.07/2.86 | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | REDUCE: (155), (217) imply: % 15.07/2.86 | | | | | | | | | | | | | | | | | | (218) sdtasdt0(all_57_1, xp) = all_25_4 % 15.07/2.86 | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | BETA: splitting (21) gives: % 15.07/2.86 | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | Case 1: % 15.07/2.86 | | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | (219) ~ (all_25_0 = 0) & ~ (all_25_1 = 0) & ! [v0: % 15.07/2.86 | | | | | | | | | | | | | | | | | | | $i] : ( ~ (sdtasdt0(xq, v0) = all_25_4) | ~ % 15.07/2.86 | | | | | | | | | | | | | | | | | | | $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & % 15.07/2.86 | | | | | | | | | | | | | | | | | | | aInteger0(v0) = v1)) % 15.07/2.86 | | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | ALPHA: (219) implies: % 15.07/2.86 | | | | | | | | | | | | | | | | | | | (220) ~ (all_25_1 = 0) % 15.07/2.86 | | | | | | | | | | | | | | | | | | | (221) ! [v0: $i] : ( ~ (sdtasdt0(xq, v0) = all_25_4) | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & % 15.07/2.86 | | | | | | | | | | | | | | | | | | | aInteger0(v0) = v1)) % 15.07/2.86 | | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | BETA: splitting (139) gives: % 15.07/2.86 | | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | Case 1: % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | (222) xq = sz00 % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (222) imply: % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | (223) $false % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | CLOSE: (223) is inconsistent. % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | Case 2: % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | (224) all_25_1 = 0 | ? [v0: int] : ( ~ (v0 = 0) & % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | aInteger0(xq) = v0) | ! [v0: $i] : ( ~ % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | (sdtasdt0(xq, v0) = all_25_4) | ~ $i(v0) | ? % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | [v1: int] : ( ~ (v1 = 0) & aInteger0(v0) = v1)) % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives: % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | Case 1: % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | (225) all_25_1 = 0 % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | REDUCE: (220), (225) imply: % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | (226) $false % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | CLOSE: (226) is inconsistent. % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | Case 2: % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xp, all_27_0, % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | all_165_1, simplifying with (8), (24), (165) % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | gives: % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | (227) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_27_0, xp) = v2 & aInteger0(all_27_0) % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | = v1 & aInteger0(xp) = v0 & $i(v2) & ( ~ (v1 = % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v2 = all_165_1)) % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mIntMult) with xp, all_27_0, % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | all_165_1, simplifying with (8), (24), (165) % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | gives: % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | (228) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | (aInteger0(all_165_1) = v2 & aInteger0(all_27_0) = % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | v1 & aInteger0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0)) % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (221) with all_165_1, simplifying % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | with (161), (211) gives: % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | (229) ? [v0: int] : ( ~ (v0 = 0) & aInteger0(all_165_1) % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | = v0) % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xq, all_165_1, % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | all_25_4, simplifying with (9), (161), (211) % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | gives: % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | (230) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | (sdtasdt0(all_165_1, xq) = v2 & % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | aInteger0(all_165_1) = v1 & aInteger0(xq) = v0 & % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | all_25_4)) % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulAsso) with xq, xp, all_155_0, % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | all_25_6, all_25_4, simplifying with (8), (9), % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | (119), (142), (143) gives: % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | (231) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtasdt0(xq, v3) = v4 & % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | sdtasdt0(xp, all_155_0) = v3 & % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | aInteger0(all_155_0) = v2 & aInteger0(xq) = v0 & % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | aInteger0(xp) = v1 & $i(v4) & $i(v3) & ( ~ (v2 = % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | all_25_4)) % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulAsso) with xp, xq, all_155_0, % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | all_25_6, all_25_4, simplifying with (8), (9), % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | (17), (142), (143) gives: % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | (232) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtasdt0(xq, all_155_0) % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | = v3 & sdtasdt0(xp, v3) = v4 & % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | aInteger0(all_155_0) = v2 & aInteger0(xq) = v1 & % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | aInteger0(xp) = v0 & $i(v4) & $i(v3) & ( ~ (v2 = % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | all_25_4)) % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulAsso) with xq, all_27_0, xp, % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | all_57_1, all_25_4, simplifying with (8), (9), % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | (24), (62), (218) gives: % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | (233) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : (sdtasdt0(all_27_0, xp) = % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | v3 & sdtasdt0(xq, v3) = v4 & aInteger0(all_27_0) % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | = v1 & aInteger0(xq) = v0 & aInteger0(xp) = v2 & % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = 0) | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v4 = all_25_4)) % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (229) with fresh symbol all_232_0 % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | gives: % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | (234) ~ (all_232_0 = 0) & aInteger0(all_165_1) = % 15.07/2.86 | | | | | | | | | | | | | | | | | | | | | all_232_0 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | ALPHA: (234) implies: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (235) ~ (all_232_0 = 0) % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (236) aInteger0(all_165_1) = all_232_0 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (228) with fresh symbols all_236_0, % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | all_236_1, all_236_2 gives: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (237) aInteger0(all_165_1) = all_236_0 & % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | aInteger0(all_27_0) = all_236_1 & aInteger0(xp) = % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | all_236_2 & ( ~ (all_236_1 = 0) | ~ (all_236_2 = % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | 0) | all_236_0 = 0) % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | ALPHA: (237) implies: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (238) aInteger0(xp) = all_236_2 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (239) aInteger0(all_27_0) = all_236_1 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (240) aInteger0(all_165_1) = all_236_0 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (241) ~ (all_236_1 = 0) | ~ (all_236_2 = 0) | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | all_236_0 = 0 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (230) with fresh symbols all_238_0, % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | all_238_1, all_238_2 gives: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (242) sdtasdt0(all_165_1, xq) = all_238_0 & % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | aInteger0(all_165_1) = all_238_1 & aInteger0(xq) = % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | all_238_2 & $i(all_238_0) & ( ~ (all_238_1 = 0) | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | ~ (all_238_2 = 0) | all_238_0 = all_25_4) % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | ALPHA: (242) implies: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (243) aInteger0(all_165_1) = all_238_1 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (227) with fresh symbols all_242_0, % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | all_242_1, all_242_2 gives: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (244) sdtasdt0(all_27_0, xp) = all_242_0 & % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | aInteger0(all_27_0) = all_242_1 & aInteger0(xp) = % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | all_242_2 & $i(all_242_0) & ( ~ (all_242_1 = 0) | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | ~ (all_242_2 = 0) | all_242_0 = all_165_1) % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | ALPHA: (244) implies: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (245) aInteger0(xp) = all_242_2 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (246) aInteger0(all_27_0) = all_242_1 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (233) with fresh symbols all_244_0, % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | all_244_1, all_244_2, all_244_3, all_244_4 gives: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (247) sdtasdt0(all_27_0, xp) = all_244_1 & sdtasdt0(xq, % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | all_244_1) = all_244_0 & aInteger0(all_27_0) = % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | all_244_3 & aInteger0(xq) = all_244_4 & % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | aInteger0(xp) = all_244_2 & $i(all_244_0) & % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | $i(all_244_1) & ( ~ (all_244_2 = 0) | ~ % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (all_244_3 = 0) | ~ (all_244_4 = 0) | all_244_0 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | = all_25_4) % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | ALPHA: (247) implies: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (248) aInteger0(xp) = all_244_2 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (249) aInteger0(all_27_0) = all_244_3 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (232) with fresh symbols all_246_0, % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | all_246_1, all_246_2, all_246_3, all_246_4 gives: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (250) sdtasdt0(xq, all_155_0) = all_246_1 & sdtasdt0(xp, % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | all_246_1) = all_246_0 & aInteger0(all_155_0) = % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | all_246_2 & aInteger0(xq) = all_246_3 & % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | aInteger0(xp) = all_246_4 & $i(all_246_0) & % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | $i(all_246_1) & ( ~ (all_246_2 = 0) | ~ % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (all_246_3 = 0) | ~ (all_246_4 = 0) | all_246_0 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | = all_25_4) % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | ALPHA: (250) implies: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (251) aInteger0(xp) = all_246_4 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (231) with fresh symbols all_248_0, % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | all_248_1, all_248_2, all_248_3, all_248_4 gives: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (252) sdtasdt0(xq, all_248_1) = all_248_0 & sdtasdt0(xp, % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | all_155_0) = all_248_1 & aInteger0(all_155_0) = % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | all_248_2 & aInteger0(xq) = all_248_4 & % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | aInteger0(xp) = all_248_3 & $i(all_248_0) & % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | $i(all_248_1) & ( ~ (all_248_2 = 0) | ~ % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (all_248_3 = 0) | ~ (all_248_4 = 0) | all_248_0 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | = all_25_4) % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | ALPHA: (252) implies: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (253) aInteger0(xp) = all_248_3 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_244_2, xp, % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | simplifying with (4), (248) gives: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (254) all_244_2 = 0 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_242_2, all_244_2, xp, % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | simplifying with (245), (248) gives: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (255) all_244_2 = all_242_2 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_246_4, all_248_3, xp, % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | simplifying with (251), (253) gives: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (256) all_248_3 = all_246_4 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_242_2, all_248_3, xp, % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | simplifying with (245), (253) gives: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (257) all_248_3 = all_242_2 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_236_2, all_248_3, xp, % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | simplifying with (238), (253) gives: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (258) all_248_3 = all_236_2 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_244_3, all_27_0, % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | simplifying with (25), (249) gives: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (259) all_244_3 = 0 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_242_1, all_244_3, % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | all_27_0, simplifying with (246), (249) gives: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (260) all_244_3 = all_242_1 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_236_1, all_244_3, % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | all_27_0, simplifying with (239), (249) gives: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (261) all_244_3 = all_236_1 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_236_0, all_238_1, % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | all_165_1, simplifying with (240), (243) gives: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (262) all_238_1 = all_236_0 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_232_0, all_238_1, % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | all_165_1, simplifying with (236), (243) gives: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (263) all_238_1 = all_232_0 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (258) imply: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (264) all_246_4 = all_236_2 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (257) imply: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (265) all_246_4 = all_242_2 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (265) imply: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (266) all_242_2 = all_236_2 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | SIMP: (266) implies: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (267) all_242_2 = all_236_2 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (255) imply: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (268) all_242_2 = 0 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | SIMP: (268) implies: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (269) all_242_2 = 0 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (260) imply: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (270) all_242_1 = 0 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (261) imply: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (271) all_242_1 = all_236_1 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (271) imply: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (272) all_236_1 = 0 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (269) imply: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (273) all_236_2 = 0 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (263) imply: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | (274) all_236_0 = all_232_0 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | Case 1: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | (275) ~ (all_236_1 = 0) % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (272), (275) imply: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | (276) $false % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (276) is inconsistent. % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | Case 2: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | (277) ~ (all_236_2 = 0) | all_236_0 = 0 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | | (278) ~ (all_236_2 = 0) % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (273), (278) imply: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | | (279) $false % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (279) is inconsistent. % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | | (280) all_236_0 = 0 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (280) imply: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | | (281) all_232_0 = 0 % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (235), (281) imply: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | | (282) $false % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (282) is inconsistent. % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | End of split % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | End of split % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | End of split % 15.07/2.87 | | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | End of split % 15.07/2.87 | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | Case 2: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | (283) ~ (all_25_2 = 0) & ~ (all_25_3 = 0) & ! [v0: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | $i] : ( ~ (sdtasdt0(xp, v0) = all_25_4) | ~ % 15.07/2.87 | | | | | | | | | | | | | | | | | | | $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & % 15.07/2.87 | | | | | | | | | | | | | | | | | | | aInteger0(v0) = v1)) % 15.07/2.87 | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | ALPHA: (283) implies: % 15.07/2.87 | | | | | | | | | | | | | | | | | | | (284) ! [v0: $i] : ( ~ (sdtasdt0(xp, v0) = all_25_4) | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & % 15.07/2.87 | | | | | | | | | | | | | | | | | | | aInteger0(v0) = v1)) % 15.07/2.87 | | | | | | | | | | | | | | | | | | | % 15.07/2.87 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (284) with all_57_1, simplifying % 15.07/2.87 | | | | | | | | | | | | | | | | | | | with (56), (129) gives: % 15.07/2.88 | | | | | | | | | | | | | | | | | | | (285) ? [v0: int] : ( ~ (v0 = 0) & aInteger0(all_57_1) % 15.07/2.88 | | | | | | | | | | | | | | | | | | | = v0) % 15.07/2.88 | | | | | | | | | | | | | | | | | | | % 15.07/2.88 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (285) with fresh symbol all_214_0 % 15.07/2.88 | | | | | | | | | | | | | | | | | | | gives: % 15.07/2.88 | | | | | | | | | | | | | | | | | | | (286) ~ (all_214_0 = 0) & aInteger0(all_57_1) = % 15.07/2.88 | | | | | | | | | | | | | | | | | | | all_214_0 % 15.07/2.88 | | | | | | | | | | | | | | | | | | | % 15.07/2.88 | | | | | | | | | | | | | | | | | | | ALPHA: (286) implies: % 15.07/2.88 | | | | | | | | | | | | | | | | | | | (287) ~ (all_214_0 = 0) % 15.07/2.88 | | | | | | | | | | | | | | | | | | | (288) aInteger0(all_57_1) = all_214_0 % 15.07/2.88 | | | | | | | | | | | | | | | | | | | % 15.07/2.88 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_214_0, all_57_1, % 15.07/2.88 | | | | | | | | | | | | | | | | | | | simplifying with (207), (288) gives: % 15.07/2.88 | | | | | | | | | | | | | | | | | | | (289) all_214_0 = 0 % 15.07/2.88 | | | | | | | | | | | | | | | | | | | % 15.07/2.88 | | | | | | | | | | | | | | | | | | | REDUCE: (287), (289) imply: % 15.40/2.88 | | | | | | | | | | | | | | | | | | | (290) $false % 15.40/2.88 | | | | | | | | | | | | | | | | | | | % 15.40/2.88 | | | | | | | | | | | | | | | | | | | CLOSE: (290) is inconsistent. % 15.40/2.88 | | | | | | | | | | | | | | | | | | | % 15.40/2.88 | | | | | | | | | | | | | | | | | | End of split % 15.40/2.88 | | | | | | | | | | | | | | | | | | % 15.40/2.88 | | | | | | | | | | | | | | | | | End of split % 15.40/2.88 | | | | | | | | | | | | | | | | | % 15.40/2.88 | | | | | | | | | | | | | | | | End of split % 15.40/2.88 | | | | | | | | | | | | | | | | % 15.40/2.88 | | | | | | | | | | | | | | | End of split % 15.40/2.88 | | | | | | | | | | | | | | | % 15.40/2.88 | | | | | | | | | | | | | | End of split % 15.40/2.88 | | | | | | | | | | | | | | % 15.40/2.88 | | | | | | | | | | | | | End of split % 15.40/2.88 | | | | | | | | | | | | | % 15.40/2.88 | | | | | | | | | | | | End of split % 15.40/2.88 | | | | | | | | | | | | % 15.40/2.88 | | | | | | | | | | | End of split % 15.40/2.88 | | | | | | | | | | | % 15.40/2.88 | | | | | | | | | | End of split % 15.40/2.88 | | | | | | | | | | % 15.40/2.88 | | | | | | | | | End of split % 15.40/2.88 | | | | | | | | | % 15.40/2.88 | | | | | | | | End of split % 15.40/2.88 | | | | | | | | % 15.40/2.88 | | | | | | | End of split % 15.40/2.88 | | | | | | | % 15.40/2.88 | | | | | | End of split % 15.40/2.88 | | | | | | % 15.40/2.88 | | | | | End of split % 15.40/2.88 | | | | | % 15.40/2.88 | | | | End of split % 15.40/2.88 | | | | % 15.40/2.88 | | | End of split % 15.40/2.88 | | | % 15.40/2.88 | | End of split % 15.40/2.88 | | % 15.40/2.88 | End of split % 15.40/2.88 | % 15.40/2.88 End of proof % 15.40/2.88 % SZS output end Proof for theBenchmark % 15.40/2.88 % 15.40/2.88 2320ms %------------------------------------------------------------------------------