%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : NUM516+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 : n025.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 11:48:18 EDT 2023 % Result : Theorem 38.62s 6.13s % Output : Proof 64.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : NUM516+3 : TPTP v8.1.2. Released v4.0.0. % 0.00/0.10 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.10/0.31 % Computer : n025.cluster.edu % 0.10/0.31 % Model : x86_64 x86_64 % 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.31 % Memory : 8042.1875MB % 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.31 % CPULimit : 300 % 0.10/0.31 % WCLimit : 300 % 0.10/0.31 % DateTime : Fri Aug 25 09:40:22 EDT 2023 % 0.10/0.31 % CPUTime : % 0.16/0.59 ________ _____ % 0.16/0.59 ___ __ \_________(_)________________________________ % 0.16/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.16/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.16/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.16/0.59 % 0.16/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.16/0.59 (2023-06-19) % 0.16/0.59 % 0.16/0.59 (c) Philipp Rümmer, 2009-2023 % 0.16/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.16/0.59 Amanda Stjerna. % 0.16/0.59 Free software under BSD-3-Clause. % 0.16/0.59 % 0.16/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.16/0.59 % 0.16/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.16/0.61 Running up to 7 provers in parallel. % 0.16/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.16/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.16/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.16/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.16/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.16/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.16/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.93/1.44 Prover 1: Preprocessing ... % 3.93/1.44 Prover 4: Preprocessing ... % 3.93/1.51 Prover 6: Preprocessing ... % 3.93/1.51 Prover 5: Preprocessing ... % 3.93/1.51 Prover 0: Preprocessing ... % 3.93/1.51 Prover 2: Preprocessing ... % 3.93/1.51 Prover 3: Preprocessing ... % 15.14/3.08 Prover 3: Constructing countermodel ... % 15.14/3.10 Prover 1: Constructing countermodel ... % 15.14/3.11 Prover 6: Proving ... % 15.14/3.17 Prover 5: Constructing countermodel ... % 18.00/3.38 Prover 2: Proving ... % 19.55/3.59 Prover 4: Constructing countermodel ... % 20.72/3.77 Prover 0: Proving ... % 38.44/6.12 Prover 3: proved (5496ms) % 38.44/6.12 % 38.62/6.13 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 38.62/6.13 % 38.62/6.13 Prover 5: stopped % 38.62/6.13 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 38.62/6.13 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 38.62/6.14 Prover 2: stopped % 38.62/6.15 Prover 6: stopped % 38.62/6.16 Prover 0: stopped % 38.62/6.17 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 38.62/6.17 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 38.62/6.17 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 40.60/6.43 Prover 11: Preprocessing ... % 40.60/6.43 Prover 10: Preprocessing ... % 40.60/6.44 Prover 8: Preprocessing ... % 40.60/6.47 Prover 7: Preprocessing ... % 41.89/6.58 Prover 13: Preprocessing ... % 42.31/6.69 Prover 10: Constructing countermodel ... % 43.04/6.78 Prover 8: Warning: ignoring some quantifiers % 43.56/6.79 Prover 8: Constructing countermodel ... % 43.56/6.81 Prover 7: Constructing countermodel ... % 44.49/7.08 Prover 13: Constructing countermodel ... % 44.49/7.09 Prover 11: Constructing countermodel ... % 63.67/9.43 Prover 10: Found proof (size 118) % 63.67/9.43 Prover 10: proved (3279ms) % 63.67/9.43 Prover 13: stopped % 63.67/9.43 Prover 7: stopped % 63.67/9.43 Prover 11: stopped % 63.67/9.43 Prover 8: stopped % 63.67/9.43 Prover 1: stopped % 63.67/9.43 Prover 4: stopped % 63.67/9.44 % 63.67/9.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 63.67/9.44 % 63.67/9.44 % SZS output start Proof for theBenchmark % 63.67/9.45 Assumptions after simplification: % 63.67/9.45 --------------------------------- % 63.67/9.45 % 63.67/9.45 (mAddComm) % 63.67/9.47 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ % 63.67/9.47 $i(v1) | ~ $i(v0) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | % 63.67/9.47 (sdtpldt0(v1, v0) = v2 & $i(v2))) % 63.67/9.47 % 63.67/9.47 (mDefPrime) % 63.67/9.48 $i(sz10) & $i(sz00) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | v1 = sz10 | ~ % 63.67/9.48 $i(v1) | ~ $i(v0) | ~ isPrime0(v0) | ~ doDivides0(v1, v0) | ~ % 63.67/9.48 aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0: $i] : (v0 = sz10 | % 63.67/9.48 v0 = sz00 | ~ $i(v0) | ~ aNaturalNumber0(v0) | isPrime0(v0) | ? [v1: $i] % 63.67/9.48 : ( ~ (v1 = v0) & ~ (v1 = sz10) & $i(v1) & doDivides0(v1, v0) & % 63.67/9.48 aNaturalNumber0(v1))) & ( ~ isPrime0(sz10) | ~ aNaturalNumber0(sz10)) & ( % 63.67/9.48 ~ isPrime0(sz00) | ~ aNaturalNumber0(sz00)) % 63.67/9.48 % 63.67/9.48 (mDefQuot) % 63.67/9.48 $i(sz00) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v2 | % 63.67/9.48 v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v3) = v1) | ~ % 63.67/9.48 $i(v3) | ~ $i(v1) | ~ $i(v0) | ~ doDivides0(v0, v1) | ~ % 63.67/9.48 aNaturalNumber0(v3) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! % 63.67/9.48 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v1 | v0 = sz00 | ~ % 63.67/9.48 (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) % 63.67/9.48 | ~ $i(v0) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v1) | ~ % 63.67/9.48 aNaturalNumber0(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] % 63.67/9.48 : (v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v2) = v3) | ~ % 63.67/9.48 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ doDivides0(v0, v1) | ~ % 63.67/9.48 aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | aNaturalNumber0(v2)) % 63.67/9.48 % 63.67/9.48 (mMonAdd) % 63.67/9.49 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 63.67/9.49 (sdtpldt0(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 63.67/9.49 sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ % 63.67/9.49 aNaturalNumber0(v0) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ( ~ (v6 = % 63.67/9.49 v3) & ~ (v5 = v4) & sdtpldt0(v2, v1) = v5 & sdtpldt0(v2, v0) = v4 & % 63.67/9.49 sdtpldt0(v1, v2) = v6 & $i(v6) & $i(v5) & $i(v4) & sdtlseqdt0(v4, v5) & % 63.67/9.49 sdtlseqdt0(v3, v6))) % 63.67/9.49 % 63.67/9.49 (mMulComm) % 63.67/9.49 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ % 63.67/9.49 $i(v1) | ~ $i(v0) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | % 63.67/9.49 (sdtasdt0(v1, v0) = v2 & $i(v2))) % 63.67/9.49 % 63.67/9.49 (mSortsB) % 63.67/9.49 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ % 63.67/9.49 $i(v1) | ~ $i(v0) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | % 63.67/9.49 aNaturalNumber0(v2)) % 63.67/9.49 % 63.67/9.49 (mSortsC_01) % 63.67/9.49 ~ (sz10 = sz00) & $i(sz10) & $i(sz00) & aNaturalNumber0(sz10) % 63.67/9.49 % 63.67/9.49 (m__) % 63.67/9.49 $i(xr) & $i(xp) & $i(xm) & $i(xn) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 63.67/9.49 ? [v3: $i] : ? [v4: $i] : (sdtsldt0(xn, xr) = v0 & sdtasdt0(xr, v0) = xn & % 63.67/9.49 sdtpldt0(v3, xp) = v4 & sdtpldt0(v1, xp) = v2 & sdtpldt0(v0, xm) = v1 & % 63.67/9.49 sdtpldt0(xn, xm) = v3 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & % 63.67/9.49 aNaturalNumber0(v0) & (v4 = v2 | ( ~ sdtlseqdt0(v2, v4) & ! [v5: $i] : ( ~ % 63.67/9.49 (sdtpldt0(v2, v5) = v4) | ~ $i(v5) | ~ aNaturalNumber0(v5))))) % 63.67/9.49 % 63.67/9.49 (m__1799) % 63.67/9.50 $i(xp) & $i(xm) & $i(xn) & $i(sz10) & $i(sz00) & ? [v0: $i] : ? [v1: $i] : % 63.67/9.50 (sdtpldt0(v0, xp) = v1 & sdtpldt0(xn, xm) = v0 & $i(v1) & $i(v0) & ! [v2: $i] % 63.67/9.50 : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v4 = sz10 | v4 = % 63.67/9.50 sz00 | ~ (sdtpldt0(v5, v4) = v6) | ~ (sdtpldt0(v2, v3) = v5) | ~ $i(v4) % 63.67/9.50 | ~ $i(v3) | ~ $i(v2) | ~ iLess0(v6, v1) | ~ aNaturalNumber0(v4) | ~ % 63.67/9.50 aNaturalNumber0(v3) | ~ aNaturalNumber0(v2) | doDivides0(v4, v3) | % 63.67/9.50 doDivides0(v4, v2) | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: % 63.67/9.50 $i] : ($i(v9) & $i(v8) & ((v10 = v4 & ~ (v8 = v4) & ~ (v8 = sz10) & % 63.67/9.50 sdtasdt0(v8, v9) = v4 & doDivides0(v8, v4) & aNaturalNumber0(v9) & % 63.67/9.50 aNaturalNumber0(v8)) | (sdtasdt0(v2, v3) = v7 & $i(v7) & ~ % 63.67/9.50 doDivides0(v4, v7) & ! [v11: $i] : ( ~ (sdtasdt0(v4, v11) = v7) | % 63.67/9.51 ~ $i(v11) | ~ aNaturalNumber0(v11)))))) & ! [v2: $i] : ! [v3: % 63.67/9.51 $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v4 = sz10 | v4 = sz00 | % 63.67/9.51 ~ (sdtpldt0(v5, v4) = v6) | ~ (sdtpldt0(v2, v3) = v5) | ~ $i(v4) | ~ % 63.67/9.51 $i(v3) | ~ $i(v2) | ~ iLess0(v6, v1) | ~ aNaturalNumber0(v4) | ~ % 63.67/9.51 aNaturalNumber0(v3) | ~ aNaturalNumber0(v2) | doDivides0(v4, v3) | ? % 63.67/9.51 [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? % 63.67/9.51 [v12: $i] : ($i(v11) & $i(v10) & $i(v8) & ((v12 = v4 & ~ (v10 = v4) & ~ % 63.67/9.51 (v10 = sz10) & sdtasdt0(v10, v11) = v4 & doDivides0(v10, v4) & % 63.67/9.51 aNaturalNumber0(v11) & aNaturalNumber0(v10)) | (v9 = v2 & % 63.67/9.51 sdtasdt0(v4, v8) = v2 & aNaturalNumber0(v8)) | (sdtasdt0(v2, v3) = % 63.67/9.51 v7 & $i(v7) & ~ doDivides0(v4, v7) & ! [v13: $i] : ( ~ % 63.67/9.51 (sdtasdt0(v4, v13) = v7) | ~ $i(v13) | ~ % 63.67/9.51 aNaturalNumber0(v13)))))) & ! [v2: $i] : ! [v3: $i] : ! [v4: % 63.67/9.51 $i] : ! [v5: $i] : ! [v6: $i] : (v4 = sz10 | v4 = sz00 | ~ % 63.67/9.51 (sdtpldt0(v5, v4) = v6) | ~ (sdtpldt0(v2, v3) = v5) | ~ $i(v4) | ~ % 63.67/9.51 $i(v3) | ~ $i(v2) | ~ iLess0(v6, v1) | ~ aNaturalNumber0(v4) | ~ % 63.67/9.51 aNaturalNumber0(v3) | ~ aNaturalNumber0(v2) | doDivides0(v4, v2) | ? % 63.67/9.51 [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? % 63.67/9.51 [v12: $i] : ($i(v11) & $i(v10) & $i(v8) & ((v12 = v4 & ~ (v10 = v4) & ~ % 63.67/9.51 (v10 = sz10) & sdtasdt0(v10, v11) = v4 & doDivides0(v10, v4) & % 63.67/9.51 aNaturalNumber0(v11) & aNaturalNumber0(v10)) | (v9 = v3 & % 63.67/9.51 sdtasdt0(v4, v8) = v3 & aNaturalNumber0(v8)) | (sdtasdt0(v2, v3) = % 63.67/9.51 v7 & $i(v7) & ~ doDivides0(v4, v7) & ! [v13: $i] : ( ~ % 63.67/9.51 (sdtasdt0(v4, v13) = v7) | ~ $i(v13) | ~ % 63.67/9.51 aNaturalNumber0(v13)))))) & ! [v2: $i] : ! [v3: $i] : ! [v4: % 63.67/9.51 $i] : ! [v5: $i] : ! [v6: $i] : (v4 = sz10 | v4 = sz00 | ~ % 63.67/9.51 (sdtpldt0(v5, v4) = v6) | ~ (sdtpldt0(v2, v3) = v5) | ~ $i(v4) | ~ % 63.67/9.51 $i(v3) | ~ $i(v2) | ~ iLess0(v6, v1) | ~ aNaturalNumber0(v4) | ~ % 63.67/9.51 aNaturalNumber0(v3) | ~ aNaturalNumber0(v2) | ? [v7: $i] : ? [v8: $i] : % 63.67/9.51 ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : % 63.67/9.51 ? [v14: $i] : ($i(v13) & $i(v12) & $i(v10) & $i(v8) & ((v14 = v4 & ~ (v12 % 63.67/9.51 = v4) & ~ (v12 = sz10) & sdtasdt0(v12, v13) = v4 & % 63.67/9.51 doDivides0(v12, v4) & aNaturalNumber0(v13) & aNaturalNumber0(v12)) | % 63.67/9.51 (v11 = v2 & sdtasdt0(v4, v10) = v2 & aNaturalNumber0(v10)) | (v9 = v3 % 63.67/9.51 & sdtasdt0(v4, v8) = v3 & aNaturalNumber0(v8)) | (sdtasdt0(v2, v3) = % 63.67/9.51 v7 & $i(v7) & ~ doDivides0(v4, v7) & ! [v15: $i] : ( ~ % 63.67/9.51 (sdtasdt0(v4, v15) = v7) | ~ $i(v15) | ~ % 63.67/9.51 aNaturalNumber0(v15)))))) & ! [v2: $i] : ! [v3: $i] : ! [v4: % 63.67/9.51 $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (sdtpldt0(v5, v4) = v6) | ~ % 63.67/9.51 (sdtpldt0(v2, v3) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ % 63.67/9.51 isPrime0(v4) | ~ iLess0(v6, v1) | ~ aNaturalNumber0(v4) | ~ % 63.67/9.51 aNaturalNumber0(v3) | ~ aNaturalNumber0(v2) | doDivides0(v4, v3) | % 63.67/9.51 doDivides0(v4, v2) | ? [v7: $i] : (sdtasdt0(v2, v3) = v7 & $i(v7) & ~ % 63.67/9.51 doDivides0(v4, v7) & ! [v8: $i] : ( ~ (sdtasdt0(v4, v8) = v7) | ~ % 63.67/9.51 $i(v8) | ~ aNaturalNumber0(v8)))) & ! [v2: $i] : ! [v3: $i] : ! % 63.67/9.51 [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (sdtpldt0(v5, v4) = v6) | ~ % 63.67/9.51 (sdtpldt0(v2, v3) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ % 63.67/9.51 isPrime0(v4) | ~ iLess0(v6, v1) | ~ aNaturalNumber0(v4) | ~ % 63.67/9.51 aNaturalNumber0(v3) | ~ aNaturalNumber0(v2) | doDivides0(v4, v3) | ? % 63.67/9.51 [v7: $i] : ? [v8: $i] : ? [v9: $i] : ($i(v8) & ((v9 = v2 & sdtasdt0(v4, % 63.67/9.51 v8) = v2 & aNaturalNumber0(v8)) | (sdtasdt0(v2, v3) = v7 & $i(v7) % 63.67/9.51 & ~ doDivides0(v4, v7) & ! [v10: $i] : ( ~ (sdtasdt0(v4, v10) = % 63.67/9.51 v7) | ~ $i(v10) | ~ aNaturalNumber0(v10)))))) & ! [v2: $i] : % 63.67/9.51 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (sdtpldt0(v5, v4) % 63.67/9.51 = v6) | ~ (sdtpldt0(v2, v3) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | % 63.67/9.51 ~ isPrime0(v4) | ~ iLess0(v6, v1) | ~ aNaturalNumber0(v4) | ~ % 63.67/9.51 aNaturalNumber0(v3) | ~ aNaturalNumber0(v2) | doDivides0(v4, v2) | ? % 63.67/9.51 [v7: $i] : ? [v8: $i] : ? [v9: $i] : ($i(v8) & ((v9 = v3 & sdtasdt0(v4, % 63.67/9.51 v8) = v3 & aNaturalNumber0(v8)) | (sdtasdt0(v2, v3) = v7 & $i(v7) % 63.67/9.51 & ~ doDivides0(v4, v7) & ! [v10: $i] : ( ~ (sdtasdt0(v4, v10) = % 63.67/9.51 v7) | ~ $i(v10) | ~ aNaturalNumber0(v10)))))) & ! [v2: $i] : % 63.67/9.51 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (sdtpldt0(v5, v4) % 63.67/9.51 = v6) | ~ (sdtpldt0(v2, v3) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | % 63.67/9.51 ~ isPrime0(v4) | ~ iLess0(v6, v1) | ~ aNaturalNumber0(v4) | ~ % 63.67/9.51 aNaturalNumber0(v3) | ~ aNaturalNumber0(v2) | ? [v7: $i] : ? [v8: $i] : % 63.67/9.51 ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ($i(v10) & $i(v8) & ((v11 = v2 % 63.67/9.51 & sdtasdt0(v4, v10) = v2 & aNaturalNumber0(v10)) | (v9 = v3 & % 63.67/9.51 sdtasdt0(v4, v8) = v3 & aNaturalNumber0(v8)) | (sdtasdt0(v2, v3) = % 63.67/9.51 v7 & $i(v7) & ~ doDivides0(v4, v7) & ! [v12: $i] : ( ~ % 63.67/9.51 (sdtasdt0(v4, v12) = v7) | ~ $i(v12) | ~ % 63.67/9.51 aNaturalNumber0(v12))))))) % 63.67/9.51 % 63.67/9.51 (m__1837) % 63.67/9.51 $i(xp) & $i(xm) & $i(xn) & aNaturalNumber0(xp) & aNaturalNumber0(xm) & % 63.67/9.51 aNaturalNumber0(xn) % 63.67/9.51 % 63.67/9.51 (m__2287) % 63.67/9.51 $i(xp) & $i(xm) & $i(xn) & ? [v0: $i] : ? [v1: $i] : ( ~ (xp = xm) & ~ (xp % 63.67/9.51 = xn) & sdtpldt0(xm, v0) = xp & sdtpldt0(xn, v1) = xp & $i(v1) & $i(v0) & % 63.67/9.51 sdtlseqdt0(xm, xp) & sdtlseqdt0(xn, xp) & aNaturalNumber0(v1) & % 63.67/9.51 aNaturalNumber0(v0)) % 63.67/9.51 % 63.67/9.51 (m__2342) % 63.67/9.51 $i(xr) & $i(xk) & $i(sz10) & $i(sz00) & ? [v0: $i] : ( ~ (xr = sz10) & ~ (xr % 63.67/9.51 = sz00) & sdtasdt0(xr, v0) = xk & $i(v0) & isPrime0(xr) & doDivides0(xr, % 63.67/9.51 xk) & aNaturalNumber0(v0) & aNaturalNumber0(xr) & ! [v1: $i] : ! [v2: % 63.67/9.51 $i] : (v1 = xr | v1 = sz10 | ~ (sdtasdt0(v1, v2) = xr) | ~ $i(v2) | ~ % 63.67/9.51 $i(v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1)) & ! [v1: $i] : % 63.67/9.51 (v1 = xr | v1 = sz10 | ~ $i(v1) | ~ doDivides0(v1, xr) | ~ % 63.67/9.51 aNaturalNumber0(v1))) % 63.67/9.51 % 63.67/9.51 (m__2487) % 63.67/9.51 $i(xr) & $i(xn) & ? [v0: $i] : (sdtasdt0(xr, v0) = xn & $i(v0) & % 63.67/9.51 doDivides0(xr, xn) & aNaturalNumber0(v0)) % 63.67/9.51 % 63.67/9.51 (m__2504) % 63.67/9.51 $i(xr) & $i(xn) & ? [v0: $i] : ? [v1: $i] : ( ~ (v0 = xn) & sdtsldt0(xn, xr) % 63.67/9.51 = v0 & sdtasdt0(xr, v0) = xn & sdtpldt0(v0, v1) = xn & $i(v1) & $i(v0) & % 63.67/9.51 sdtlseqdt0(v0, xn) & aNaturalNumber0(v1) & aNaturalNumber0(v0)) % 63.67/9.51 % 63.67/9.51 (m__2529) % 63.67/9.51 $i(xr) & $i(xp) & $i(xm) & $i(xn) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 63.67/9.51 (sdtsldt0(xn, xr) = v0 & sdtasdt0(v0, xm) = v1 & sdtasdt0(xr, v0) = xn & % 63.67/9.51 sdtasdt0(xp, v2) = v1 & $i(v2) & $i(v1) & $i(v0) & doDivides0(xp, v1) & % 63.67/9.51 aNaturalNumber0(v2) & aNaturalNumber0(v0)) % 63.67/9.51 % 63.67/9.51 (function-axioms) % 63.67/9.52 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 63.67/9.52 (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0)) & ! [v0: $i] : ! % 63.67/9.52 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtmndt0(v3, v2) = v1) | % 63.67/9.52 ~ (sdtmndt0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 63.67/9.52 [v3: $i] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) % 63.67/9.52 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 63.67/9.52 (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) % 63.67/9.52 % 63.67/9.52 Further assumptions not needed in the proof: % 63.67/9.52 -------------------------------------------- % 63.67/9.52 mAMDistr, mAddAsso, mAddCanc, mDefDiff, mDefDiv, mDefLE, mDivAsso, mDivLE, % 63.67/9.52 mDivMin, mDivSum, mDivTrans, mIH, mIH_03, mLEAsym, mLENTr, mLERefl, mLETotal, % 63.67/9.52 mLETran, mMonMul, mMonMul2, mMulAsso, mMulCanc, mNatSort, mPrimDiv, mSortsB_02, % 63.67/9.52 mSortsC, mZeroAdd, mZeroMul, m_AddZero, m_MulUnit, m_MulZero, m__1860, m__1870, % 63.67/9.52 m__2075, m__2306, m__2315, m__2327, m__2362, m__2377, m__2449 % 63.67/9.52 % 63.67/9.52 Those formulas are unsatisfiable: % 63.67/9.52 --------------------------------- % 63.67/9.52 % 63.67/9.52 Begin of proof % 63.67/9.52 | % 63.67/9.52 | ALPHA: (mSortsC_01) implies: % 63.67/9.52 | (1) aNaturalNumber0(sz10) % 63.67/9.52 | % 63.67/9.52 | ALPHA: (mDefQuot) implies: % 63.67/9.52 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v2 | v0 = % 63.67/9.52 | sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v3) = v1) | ~ % 63.67/9.52 | $i(v3) | ~ $i(v1) | ~ $i(v0) | ~ doDivides0(v0, v1) | ~ % 63.67/9.52 | aNaturalNumber0(v3) | ~ aNaturalNumber0(v1) | ~ % 63.67/9.52 | aNaturalNumber0(v0)) % 63.67/9.52 | % 63.67/9.52 | ALPHA: (mDefPrime) implies: % 63.67/9.52 | (3) ~ isPrime0(sz10) | ~ aNaturalNumber0(sz10) % 63.67/9.52 | % 63.67/9.52 | ALPHA: (m__1837) implies: % 63.67/9.52 | (4) aNaturalNumber0(xn) % 63.67/9.52 | (5) aNaturalNumber0(xm) % 63.67/9.52 | (6) aNaturalNumber0(xp) % 63.67/9.52 | % 63.67/9.52 | ALPHA: (m__1799) implies: % 63.67/9.53 | (7) ? [v0: $i] : ? [v1: $i] : (sdtpldt0(v0, xp) = v1 & sdtpldt0(xn, xm) = % 63.67/9.53 | v0 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! % 63.67/9.53 | [v5: $i] : ! [v6: $i] : (v4 = sz10 | v4 = sz00 | ~ (sdtpldt0(v5, % 63.67/9.53 | v4) = v6) | ~ (sdtpldt0(v2, v3) = v5) | ~ $i(v4) | ~ $i(v3) % 63.67/9.53 | | ~ $i(v2) | ~ iLess0(v6, v1) | ~ aNaturalNumber0(v4) | ~ % 63.67/9.53 | aNaturalNumber0(v3) | ~ aNaturalNumber0(v2) | doDivides0(v4, v3) | % 63.67/9.53 | doDivides0(v4, v2) | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 63.67/9.53 | [v10: $i] : ($i(v9) & $i(v8) & ((v10 = v4 & ~ (v8 = v4) & ~ (v8 = % 63.67/9.53 | sz10) & sdtasdt0(v8, v9) = v4 & doDivides0(v8, v4) & % 63.67/9.53 | aNaturalNumber0(v9) & aNaturalNumber0(v8)) | (sdtasdt0(v2, % 63.67/9.53 | v3) = v7 & $i(v7) & ~ doDivides0(v4, v7) & ! [v11: $i] : % 63.67/9.53 | ( ~ (sdtasdt0(v4, v11) = v7) | ~ $i(v11) | ~ % 63.67/9.53 | aNaturalNumber0(v11)))))) & ! [v2: $i] : ! [v3: $i] : ! % 63.67/9.53 | [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v4 = sz10 | v4 = sz00 | ~ % 63.67/9.53 | (sdtpldt0(v5, v4) = v6) | ~ (sdtpldt0(v2, v3) = v5) | ~ $i(v4) | % 63.67/9.53 | ~ $i(v3) | ~ $i(v2) | ~ iLess0(v6, v1) | ~ aNaturalNumber0(v4) | % 63.67/9.53 | ~ aNaturalNumber0(v3) | ~ aNaturalNumber0(v2) | doDivides0(v4, % 63.67/9.53 | v3) | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? % 63.67/9.53 | [v11: $i] : ? [v12: $i] : ($i(v11) & $i(v10) & $i(v8) & ((v12 = v4 % 63.67/9.53 | & ~ (v10 = v4) & ~ (v10 = sz10) & sdtasdt0(v10, v11) = v4 & % 63.67/9.53 | doDivides0(v10, v4) & aNaturalNumber0(v11) & % 63.67/9.53 | aNaturalNumber0(v10)) | (v9 = v2 & sdtasdt0(v4, v8) = v2 & % 63.67/9.53 | aNaturalNumber0(v8)) | (sdtasdt0(v2, v3) = v7 & $i(v7) & ~ % 63.67/9.53 | doDivides0(v4, v7) & ! [v13: $i] : ( ~ (sdtasdt0(v4, v13) = % 63.67/9.53 | v7) | ~ $i(v13) | ~ aNaturalNumber0(v13)))))) & ! [v2: % 63.67/9.53 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v4 = % 63.67/9.53 | sz10 | v4 = sz00 | ~ (sdtpldt0(v5, v4) = v6) | ~ (sdtpldt0(v2, % 63.67/9.53 | v3) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ iLess0(v6, % 63.67/9.53 | v1) | ~ aNaturalNumber0(v4) | ~ aNaturalNumber0(v3) | ~ % 63.67/9.53 | aNaturalNumber0(v2) | doDivides0(v4, v2) | ? [v7: $i] : ? [v8: % 63.67/9.53 | $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : % 63.67/9.53 | ($i(v11) & $i(v10) & $i(v8) & ((v12 = v4 & ~ (v10 = v4) & ~ (v10 % 63.67/9.53 | = sz10) & sdtasdt0(v10, v11) = v4 & doDivides0(v10, v4) & % 63.67/9.53 | aNaturalNumber0(v11) & aNaturalNumber0(v10)) | (v9 = v3 & % 63.67/9.53 | sdtasdt0(v4, v8) = v3 & aNaturalNumber0(v8)) | (sdtasdt0(v2, % 63.67/9.53 | v3) = v7 & $i(v7) & ~ doDivides0(v4, v7) & ! [v13: $i] : % 63.67/9.53 | ( ~ (sdtasdt0(v4, v13) = v7) | ~ $i(v13) | ~ % 63.67/9.53 | aNaturalNumber0(v13)))))) & ! [v2: $i] : ! [v3: $i] : ! % 63.67/9.53 | [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v4 = sz10 | v4 = sz00 | ~ % 63.67/9.53 | (sdtpldt0(v5, v4) = v6) | ~ (sdtpldt0(v2, v3) = v5) | ~ $i(v4) | % 63.67/9.53 | ~ $i(v3) | ~ $i(v2) | ~ iLess0(v6, v1) | ~ aNaturalNumber0(v4) | % 63.67/9.53 | ~ aNaturalNumber0(v3) | ~ aNaturalNumber0(v2) | ? [v7: $i] : ? % 63.67/9.53 | [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] % 63.67/9.53 | : ? [v13: $i] : ? [v14: $i] : ($i(v13) & $i(v12) & $i(v10) & % 63.67/9.53 | $i(v8) & ((v14 = v4 & ~ (v12 = v4) & ~ (v12 = sz10) & % 63.67/9.53 | sdtasdt0(v12, v13) = v4 & doDivides0(v12, v4) & % 63.67/9.53 | aNaturalNumber0(v13) & aNaturalNumber0(v12)) | (v11 = v2 & % 63.67/9.53 | sdtasdt0(v4, v10) = v2 & aNaturalNumber0(v10)) | (v9 = v3 & % 63.67/9.53 | sdtasdt0(v4, v8) = v3 & aNaturalNumber0(v8)) | (sdtasdt0(v2, % 63.67/9.53 | v3) = v7 & $i(v7) & ~ doDivides0(v4, v7) & ! [v15: $i] : % 63.67/9.53 | ( ~ (sdtasdt0(v4, v15) = v7) | ~ $i(v15) | ~ % 63.67/9.53 | aNaturalNumber0(v15)))))) & ! [v2: $i] : ! [v3: $i] : ! % 63.67/9.53 | [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (sdtpldt0(v5, v4) = v6) | % 63.67/9.53 | ~ (sdtpldt0(v2, v3) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ % 63.67/9.53 | isPrime0(v4) | ~ iLess0(v6, v1) | ~ aNaturalNumber0(v4) | ~ % 63.67/9.53 | aNaturalNumber0(v3) | ~ aNaturalNumber0(v2) | doDivides0(v4, v3) | % 63.67/9.53 | doDivides0(v4, v2) | ? [v7: $i] : (sdtasdt0(v2, v3) = v7 & $i(v7) % 63.67/9.53 | & ~ doDivides0(v4, v7) & ! [v8: $i] : ( ~ (sdtasdt0(v4, v8) = % 63.67/9.53 | v7) | ~ $i(v8) | ~ aNaturalNumber0(v8)))) & ! [v2: $i] : % 63.67/9.53 | ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ % 63.67/9.53 | (sdtpldt0(v5, v4) = v6) | ~ (sdtpldt0(v2, v3) = v5) | ~ $i(v4) | % 63.67/9.53 | ~ $i(v3) | ~ $i(v2) | ~ isPrime0(v4) | ~ iLess0(v6, v1) | ~ % 63.67/9.53 | aNaturalNumber0(v4) | ~ aNaturalNumber0(v3) | ~ % 63.67/9.53 | aNaturalNumber0(v2) | doDivides0(v4, v3) | ? [v7: $i] : ? [v8: % 63.67/9.53 | $i] : ? [v9: $i] : ($i(v8) & ((v9 = v2 & sdtasdt0(v4, v8) = v2 & % 63.67/9.53 | aNaturalNumber0(v8)) | (sdtasdt0(v2, v3) = v7 & $i(v7) & ~ % 63.67/9.53 | doDivides0(v4, v7) & ! [v10: $i] : ( ~ (sdtasdt0(v4, v10) = % 63.67/9.53 | v7) | ~ $i(v10) | ~ aNaturalNumber0(v10)))))) & ! [v2: % 63.67/9.53 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ % 63.67/9.53 | (sdtpldt0(v5, v4) = v6) | ~ (sdtpldt0(v2, v3) = v5) | ~ $i(v4) | % 63.67/9.53 | ~ $i(v3) | ~ $i(v2) | ~ isPrime0(v4) | ~ iLess0(v6, v1) | ~ % 63.67/9.53 | aNaturalNumber0(v4) | ~ aNaturalNumber0(v3) | ~ % 63.67/9.53 | aNaturalNumber0(v2) | doDivides0(v4, v2) | ? [v7: $i] : ? [v8: % 63.67/9.53 | $i] : ? [v9: $i] : ($i(v8) & ((v9 = v3 & sdtasdt0(v4, v8) = v3 & % 63.67/9.53 | aNaturalNumber0(v8)) | (sdtasdt0(v2, v3) = v7 & $i(v7) & ~ % 63.67/9.53 | doDivides0(v4, v7) & ! [v10: $i] : ( ~ (sdtasdt0(v4, v10) = % 63.67/9.53 | v7) | ~ $i(v10) | ~ aNaturalNumber0(v10)))))) & ! [v2: % 63.67/9.53 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ % 63.67/9.53 | (sdtpldt0(v5, v4) = v6) | ~ (sdtpldt0(v2, v3) = v5) | ~ $i(v4) | % 63.67/9.53 | ~ $i(v3) | ~ $i(v2) | ~ isPrime0(v4) | ~ iLess0(v6, v1) | ~ % 63.67/9.53 | aNaturalNumber0(v4) | ~ aNaturalNumber0(v3) | ~ % 63.67/9.53 | aNaturalNumber0(v2) | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 63.67/9.53 | [v10: $i] : ? [v11: $i] : ($i(v10) & $i(v8) & ((v11 = v2 & % 63.67/9.53 | sdtasdt0(v4, v10) = v2 & aNaturalNumber0(v10)) | (v9 = v3 & % 63.67/9.53 | sdtasdt0(v4, v8) = v3 & aNaturalNumber0(v8)) | (sdtasdt0(v2, % 63.67/9.53 | v3) = v7 & $i(v7) & ~ doDivides0(v4, v7) & ! [v12: $i] : % 63.67/9.53 | ( ~ (sdtasdt0(v4, v12) = v7) | ~ $i(v12) | ~ % 63.67/9.53 | aNaturalNumber0(v12))))))) % 63.67/9.53 | % 63.67/9.53 | ALPHA: (m__2287) implies: % 64.16/9.54 | (8) ? [v0: $i] : ? [v1: $i] : ( ~ (xp = xm) & ~ (xp = xn) & sdtpldt0(xm, % 64.16/9.54 | v0) = xp & sdtpldt0(xn, v1) = xp & $i(v1) & $i(v0) & sdtlseqdt0(xm, % 64.16/9.54 | xp) & sdtlseqdt0(xn, xp) & aNaturalNumber0(v1) & % 64.16/9.54 | aNaturalNumber0(v0)) % 64.16/9.54 | % 64.16/9.54 | ALPHA: (m__2342) implies: % 64.16/9.54 | (9) ? [v0: $i] : ( ~ (xr = sz10) & ~ (xr = sz00) & sdtasdt0(xr, v0) = xk % 64.16/9.54 | & $i(v0) & isPrime0(xr) & doDivides0(xr, xk) & aNaturalNumber0(v0) & % 64.16/9.54 | aNaturalNumber0(xr) & ! [v1: $i] : ! [v2: $i] : (v1 = xr | v1 = % 64.16/9.54 | sz10 | ~ (sdtasdt0(v1, v2) = xr) | ~ $i(v2) | ~ $i(v1) | ~ % 64.16/9.54 | aNaturalNumber0(v2) | ~ aNaturalNumber0(v1)) & ! [v1: $i] : (v1 = % 64.16/9.54 | xr | v1 = sz10 | ~ $i(v1) | ~ doDivides0(v1, xr) | ~ % 64.16/9.54 | aNaturalNumber0(v1))) % 64.16/9.54 | % 64.16/9.54 | ALPHA: (m__2487) implies: % 64.16/9.54 | (10) ? [v0: $i] : (sdtasdt0(xr, v0) = xn & $i(v0) & doDivides0(xr, xn) & % 64.16/9.54 | aNaturalNumber0(v0)) % 64.16/9.54 | % 64.16/9.54 | ALPHA: (m__2504) implies: % 64.16/9.54 | (11) ? [v0: $i] : ? [v1: $i] : ( ~ (v0 = xn) & sdtsldt0(xn, xr) = v0 & % 64.16/9.54 | sdtasdt0(xr, v0) = xn & sdtpldt0(v0, v1) = xn & $i(v1) & $i(v0) & % 64.16/9.54 | sdtlseqdt0(v0, xn) & aNaturalNumber0(v1) & aNaturalNumber0(v0)) % 64.16/9.54 | % 64.16/9.54 | ALPHA: (m__2529) implies: % 64.16/9.54 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (sdtsldt0(xn, xr) = v0 & % 64.16/9.54 | sdtasdt0(v0, xm) = v1 & sdtasdt0(xr, v0) = xn & sdtasdt0(xp, v2) = % 64.16/9.54 | v1 & $i(v2) & $i(v1) & $i(v0) & doDivides0(xp, v1) & % 64.16/9.54 | aNaturalNumber0(v2) & aNaturalNumber0(v0)) % 64.16/9.54 | % 64.16/9.54 | ALPHA: (m__) implies: % 64.16/9.54 | (13) $i(xn) % 64.16/9.54 | (14) $i(xm) % 64.16/9.54 | (15) $i(xp) % 64.16/9.54 | (16) $i(xr) % 64.16/9.54 | (17) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 64.16/9.54 | (sdtsldt0(xn, xr) = v0 & sdtasdt0(xr, v0) = xn & sdtpldt0(v3, xp) = v4 % 64.16/9.54 | & sdtpldt0(v1, xp) = v2 & sdtpldt0(v0, xm) = v1 & sdtpldt0(xn, xm) = % 64.16/9.54 | v3 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & % 64.16/9.54 | aNaturalNumber0(v0) & (v4 = v2 | ( ~ sdtlseqdt0(v2, v4) & ! [v5: % 64.16/9.54 | $i] : ( ~ (sdtpldt0(v2, v5) = v4) | ~ $i(v5) | ~ % 64.16/9.54 | aNaturalNumber0(v5))))) % 64.16/9.54 | % 64.16/9.54 | ALPHA: (function-axioms) implies: % 64.16/9.54 | (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 64.16/9.54 | (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) % 64.16/9.54 | (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 64.16/9.54 | (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0)) % 64.16/9.54 | % 64.16/9.54 | DELTA: instantiating (10) with fresh symbol all_40_0 gives: % 64.16/9.54 | (20) sdtasdt0(xr, all_40_0) = xn & $i(all_40_0) & doDivides0(xr, xn) & % 64.16/9.54 | aNaturalNumber0(all_40_0) % 64.16/9.54 | % 64.16/9.54 | ALPHA: (20) implies: % 64.16/9.55 | (21) aNaturalNumber0(all_40_0) % 64.16/9.55 | (22) doDivides0(xr, xn) % 64.16/9.55 | (23) $i(all_40_0) % 64.16/9.55 | (24) sdtasdt0(xr, all_40_0) = xn % 64.16/9.55 | % 64.16/9.55 | DELTA: instantiating (11) with fresh symbols all_46_0, all_46_1 gives: % 64.16/9.55 | (25) ~ (all_46_1 = xn) & sdtsldt0(xn, xr) = all_46_1 & sdtasdt0(xr, % 64.16/9.55 | all_46_1) = xn & sdtpldt0(all_46_1, all_46_0) = xn & $i(all_46_0) & % 64.16/9.55 | $i(all_46_1) & sdtlseqdt0(all_46_1, xn) & aNaturalNumber0(all_46_0) & % 64.16/9.55 | aNaturalNumber0(all_46_1) % 64.16/9.55 | % 64.16/9.55 | ALPHA: (25) implies: % 64.16/9.55 | (26) ~ (all_46_1 = xn) % 64.16/9.55 | (27) sdtlseqdt0(all_46_1, xn) % 64.16/9.55 | (28) sdtsldt0(xn, xr) = all_46_1 % 64.16/9.55 | % 64.16/9.55 | DELTA: instantiating (8) with fresh symbols all_50_0, all_50_1 gives: % 64.16/9.55 | (29) ~ (xp = xm) & ~ (xp = xn) & sdtpldt0(xm, all_50_1) = xp & % 64.16/9.55 | sdtpldt0(xn, all_50_0) = xp & $i(all_50_0) & $i(all_50_1) & % 64.16/9.55 | sdtlseqdt0(xm, xp) & sdtlseqdt0(xn, xp) & aNaturalNumber0(all_50_0) & % 64.16/9.55 | aNaturalNumber0(all_50_1) % 64.16/9.55 | % 64.16/9.55 | ALPHA: (29) implies: % 64.16/9.55 | (30) ~ (xp = xn) % 64.16/9.55 | (31) ~ (xp = xm) % 64.16/9.55 | (32) aNaturalNumber0(all_50_1) % 64.16/9.55 | (33) aNaturalNumber0(all_50_0) % 64.16/9.55 | (34) sdtlseqdt0(xn, xp) % 64.16/9.55 | (35) sdtlseqdt0(xm, xp) % 64.16/9.55 | (36) $i(all_50_1) % 64.16/9.55 | (37) $i(all_50_0) % 64.16/9.55 | (38) sdtpldt0(xn, all_50_0) = xp % 64.16/9.55 | (39) sdtpldt0(xm, all_50_1) = xp % 64.16/9.55 | % 64.16/9.55 | DELTA: instantiating (12) with fresh symbols all_52_0, all_52_1, all_52_2 % 64.16/9.55 | gives: % 64.16/9.55 | (40) sdtsldt0(xn, xr) = all_52_2 & sdtasdt0(all_52_2, xm) = all_52_1 & % 64.16/9.55 | sdtasdt0(xr, all_52_2) = xn & sdtasdt0(xp, all_52_0) = all_52_1 & % 64.16/9.55 | $i(all_52_0) & $i(all_52_1) & $i(all_52_2) & doDivides0(xp, all_52_1) % 64.16/9.55 | & aNaturalNumber0(all_52_0) & aNaturalNumber0(all_52_2) % 64.16/9.55 | % 64.16/9.55 | ALPHA: (40) implies: % 64.16/9.55 | (41) aNaturalNumber0(all_52_2) % 64.16/9.55 | (42) $i(all_52_2) % 64.16/9.55 | (43) sdtasdt0(xr, all_52_2) = xn % 64.16/9.55 | (44) sdtsldt0(xn, xr) = all_52_2 % 64.16/9.55 | % 64.16/9.55 | DELTA: instantiating (17) with fresh symbols all_56_0, all_56_1, all_56_2, % 64.16/9.55 | all_56_3, all_56_4 gives: % 64.16/9.55 | (45) sdtsldt0(xn, xr) = all_56_4 & sdtasdt0(xr, all_56_4) = xn & % 64.16/9.55 | sdtpldt0(all_56_1, xp) = all_56_0 & sdtpldt0(all_56_3, xp) = all_56_2 % 64.16/9.55 | & sdtpldt0(all_56_4, xm) = all_56_3 & sdtpldt0(xn, xm) = all_56_1 & % 64.16/9.55 | $i(all_56_0) & $i(all_56_1) & $i(all_56_2) & $i(all_56_3) & % 64.16/9.55 | $i(all_56_4) & aNaturalNumber0(all_56_4) & (all_56_0 = all_56_2 | ( ~ % 64.16/9.55 | sdtlseqdt0(all_56_2, all_56_0) & ! [v0: $i] : ( ~ % 64.16/9.55 | (sdtpldt0(all_56_2, v0) = all_56_0) | ~ $i(v0) | ~ % 64.16/9.55 | aNaturalNumber0(v0)))) % 64.16/9.55 | % 64.16/9.55 | ALPHA: (45) implies: % 64.16/9.55 | (46) sdtpldt0(xn, xm) = all_56_1 % 64.16/9.55 | (47) sdtpldt0(all_56_4, xm) = all_56_3 % 64.16/9.55 | (48) sdtpldt0(all_56_3, xp) = all_56_2 % 64.16/9.55 | (49) sdtpldt0(all_56_1, xp) = all_56_0 % 64.16/9.55 | (50) sdtsldt0(xn, xr) = all_56_4 % 64.16/9.55 | (51) all_56_0 = all_56_2 | ( ~ sdtlseqdt0(all_56_2, all_56_0) & ! [v0: $i] % 64.16/9.55 | : ( ~ (sdtpldt0(all_56_2, v0) = all_56_0) | ~ $i(v0) | ~ % 64.16/9.55 | aNaturalNumber0(v0))) % 64.16/9.55 | % 64.16/9.55 | DELTA: instantiating (9) with fresh symbol all_58_0 gives: % 64.16/9.55 | (52) ~ (xr = sz10) & ~ (xr = sz00) & sdtasdt0(xr, all_58_0) = xk & % 64.16/9.55 | $i(all_58_0) & isPrime0(xr) & doDivides0(xr, xk) & % 64.16/9.55 | aNaturalNumber0(all_58_0) & aNaturalNumber0(xr) & ! [v0: $i] : ! % 64.16/9.55 | [v1: $i] : (v0 = xr | v0 = sz10 | ~ (sdtasdt0(v0, v1) = xr) | ~ % 64.16/9.55 | $i(v1) | ~ $i(v0) | ~ aNaturalNumber0(v1) | ~ % 64.16/9.55 | aNaturalNumber0(v0)) & ! [v0: $i] : (v0 = xr | v0 = sz10 | ~ % 64.16/9.55 | $i(v0) | ~ doDivides0(v0, xr) | ~ aNaturalNumber0(v0)) % 64.16/9.55 | % 64.16/9.55 | ALPHA: (52) implies: % 64.16/9.55 | (53) ~ (xr = sz00) % 64.16/9.55 | (54) aNaturalNumber0(xr) % 64.16/9.55 | % 64.16/9.55 | DELTA: instantiating (7) with fresh symbols all_64_0, all_64_1 gives: % 64.16/9.56 | (55) sdtpldt0(all_64_1, xp) = all_64_0 & sdtpldt0(xn, xm) = all_64_1 & % 64.16/9.56 | $i(all_64_0) & $i(all_64_1) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 64.16/9.56 | : ! [v3: $i] : ! [v4: $i] : (v2 = sz10 | v2 = sz00 | ~ % 64.16/9.56 | (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ $i(v2) | % 64.16/9.56 | ~ $i(v1) | ~ $i(v0) | ~ iLess0(v4, all_64_0) | ~ % 64.16/9.56 | aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ % 64.16/9.56 | aNaturalNumber0(v0) | doDivides0(v2, v1) | doDivides0(v2, v0) | ? % 64.16/9.56 | [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ($i(v7) & % 64.16/9.56 | $i(v6) & ((v8 = v2 & ~ (v6 = v2) & ~ (v6 = sz10) & sdtasdt0(v6, % 64.16/9.56 | v7) = v2 & doDivides0(v6, v2) & aNaturalNumber0(v7) & % 64.16/9.56 | aNaturalNumber0(v6)) | (sdtasdt0(v0, v1) = v5 & $i(v5) & ~ % 64.16/9.56 | doDivides0(v2, v5) & ! [v9: $i] : ( ~ (sdtasdt0(v2, v9) = v5) % 64.16/9.56 | | ~ $i(v9) | ~ aNaturalNumber0(v9)))))) & ! [v0: $i] : ! % 64.16/9.56 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = sz10 | v2 = % 64.16/9.56 | sz00 | ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ % 64.16/9.56 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ iLess0(v4, all_64_0) | ~ % 64.16/9.56 | aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ % 64.16/9.56 | aNaturalNumber0(v0) | doDivides0(v2, v1) | ? [v5: $i] : ? [v6: $i] % 64.16/9.56 | : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ($i(v9) & % 64.16/9.56 | $i(v8) & $i(v6) & ((v10 = v2 & ~ (v8 = v2) & ~ (v8 = sz10) & % 64.16/9.56 | sdtasdt0(v8, v9) = v2 & doDivides0(v8, v2) & % 64.16/9.56 | aNaturalNumber0(v9) & aNaturalNumber0(v8)) | (v7 = v0 & % 64.16/9.56 | sdtasdt0(v2, v6) = v0 & aNaturalNumber0(v6)) | (sdtasdt0(v0, % 64.16/9.56 | v1) = v5 & $i(v5) & ~ doDivides0(v2, v5) & ! [v11: $i] : ( % 64.16/9.56 | ~ (sdtasdt0(v2, v11) = v5) | ~ $i(v11) | ~ % 64.16/9.56 | aNaturalNumber0(v11)))))) & ! [v0: $i] : ! [v1: $i] : ! % 64.16/9.56 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = sz10 | v2 = sz00 | ~ % 64.16/9.56 | (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ $i(v2) | % 64.16/9.56 | ~ $i(v1) | ~ $i(v0) | ~ iLess0(v4, all_64_0) | ~ % 64.16/9.56 | aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ % 64.16/9.56 | aNaturalNumber0(v0) | doDivides0(v2, v0) | ? [v5: $i] : ? [v6: $i] % 64.16/9.56 | : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ($i(v9) & % 64.16/9.56 | $i(v8) & $i(v6) & ((v10 = v2 & ~ (v8 = v2) & ~ (v8 = sz10) & % 64.16/9.56 | sdtasdt0(v8, v9) = v2 & doDivides0(v8, v2) & % 64.16/9.56 | aNaturalNumber0(v9) & aNaturalNumber0(v8)) | (v7 = v1 & % 64.16/9.56 | sdtasdt0(v2, v6) = v1 & aNaturalNumber0(v6)) | (sdtasdt0(v0, % 64.16/9.56 | v1) = v5 & $i(v5) & ~ doDivides0(v2, v5) & ! [v11: $i] : ( % 64.16/9.56 | ~ (sdtasdt0(v2, v11) = v5) | ~ $i(v11) | ~ % 64.16/9.56 | aNaturalNumber0(v11)))))) & ! [v0: $i] : ! [v1: $i] : ! % 64.16/9.56 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = sz10 | v2 = sz00 | ~ % 64.16/9.56 | (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ $i(v2) | % 64.16/9.56 | ~ $i(v1) | ~ $i(v0) | ~ iLess0(v4, all_64_0) | ~ % 64.16/9.56 | aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ % 64.16/9.56 | aNaturalNumber0(v0) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? % 64.16/9.56 | [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] % 64.16/9.56 | : ($i(v11) & $i(v10) & $i(v8) & $i(v6) & ((v12 = v2 & ~ (v10 = v2) % 64.16/9.56 | & ~ (v10 = sz10) & sdtasdt0(v10, v11) = v2 & doDivides0(v10, % 64.16/9.56 | v2) & aNaturalNumber0(v11) & aNaturalNumber0(v10)) | (v9 = % 64.16/9.56 | v0 & sdtasdt0(v2, v8) = v0 & aNaturalNumber0(v8)) | (v7 = v1 & % 64.16/9.56 | sdtasdt0(v2, v6) = v1 & aNaturalNumber0(v6)) | (sdtasdt0(v0, % 64.16/9.56 | v1) = v5 & $i(v5) & ~ doDivides0(v2, v5) & ! [v13: $i] : ( % 64.16/9.56 | ~ (sdtasdt0(v2, v13) = v5) | ~ $i(v13) | ~ % 64.16/9.56 | aNaturalNumber0(v13)))))) & ! [v0: $i] : ! [v1: $i] : ! % 64.16/9.56 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (sdtpldt0(v3, v2) = v4) | % 64.16/9.56 | ~ (sdtpldt0(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 64.16/9.56 | isPrime0(v2) | ~ iLess0(v4, all_64_0) | ~ aNaturalNumber0(v2) | ~ % 64.16/9.56 | aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v1) | % 64.16/9.56 | doDivides0(v2, v0) | ? [v5: $i] : (sdtasdt0(v0, v1) = v5 & $i(v5) & % 64.16/9.56 | ~ doDivides0(v2, v5) & ! [v6: $i] : ( ~ (sdtasdt0(v2, v6) = v5) % 64.16/9.56 | | ~ $i(v6) | ~ aNaturalNumber0(v6)))) & ! [v0: $i] : ! [v1: % 64.16/9.56 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (sdtpldt0(v3, % 64.16/9.56 | v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | % 64.16/9.56 | ~ $i(v0) | ~ isPrime0(v2) | ~ iLess0(v4, all_64_0) | ~ % 64.16/9.56 | aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ % 64.16/9.56 | aNaturalNumber0(v0) | doDivides0(v2, v1) | ? [v5: $i] : ? [v6: $i] % 64.16/9.56 | : ? [v7: $i] : ($i(v6) & ((v7 = v0 & sdtasdt0(v2, v6) = v0 & % 64.16/9.56 | aNaturalNumber0(v6)) | (sdtasdt0(v0, v1) = v5 & $i(v5) & ~ % 64.16/9.56 | doDivides0(v2, v5) & ! [v8: $i] : ( ~ (sdtasdt0(v2, v8) = v5) % 64.16/9.56 | | ~ $i(v8) | ~ aNaturalNumber0(v8)))))) & ! [v0: $i] : ! % 64.16/9.56 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (sdtpldt0(v3, % 64.16/9.56 | v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | % 64.16/9.56 | ~ $i(v0) | ~ isPrime0(v2) | ~ iLess0(v4, all_64_0) | ~ % 64.16/9.56 | aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ % 64.16/9.56 | aNaturalNumber0(v0) | doDivides0(v2, v0) | ? [v5: $i] : ? [v6: $i] % 64.16/9.56 | : ? [v7: $i] : ($i(v6) & ((v7 = v1 & sdtasdt0(v2, v6) = v1 & % 64.16/9.56 | aNaturalNumber0(v6)) | (sdtasdt0(v0, v1) = v5 & $i(v5) & ~ % 64.16/9.56 | doDivides0(v2, v5) & ! [v8: $i] : ( ~ (sdtasdt0(v2, v8) = v5) % 64.16/9.56 | | ~ $i(v8) | ~ aNaturalNumber0(v8)))))) & ! [v0: $i] : ! % 64.16/9.56 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (sdtpldt0(v3, % 64.16/9.56 | v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | % 64.16/9.56 | ~ $i(v0) | ~ isPrime0(v2) | ~ iLess0(v4, all_64_0) | ~ % 64.16/9.56 | aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ % 64.16/9.56 | aNaturalNumber0(v0) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? % 64.16/9.56 | [v8: $i] : ? [v9: $i] : ($i(v8) & $i(v6) & ((v9 = v0 & sdtasdt0(v2, % 64.16/9.56 | v8) = v0 & aNaturalNumber0(v8)) | (v7 = v1 & sdtasdt0(v2, % 64.16/9.56 | v6) = v1 & aNaturalNumber0(v6)) | (sdtasdt0(v0, v1) = v5 & % 64.16/9.56 | $i(v5) & ~ doDivides0(v2, v5) & ! [v10: $i] : ( ~ % 64.16/9.56 | (sdtasdt0(v2, v10) = v5) | ~ $i(v10) | ~ % 64.16/9.56 | aNaturalNumber0(v10)))))) % 64.16/9.56 | % 64.16/9.56 | ALPHA: (55) implies: % 64.16/9.56 | (56) sdtpldt0(xn, xm) = all_64_1 % 64.16/9.56 | (57) sdtpldt0(all_64_1, xp) = all_64_0 % 64.16/9.56 | % 64.16/9.56 | BETA: splitting (3) gives: % 64.16/9.56 | % 64.16/9.56 | Case 1: % 64.16/9.56 | | % 64.16/9.56 | | (58) ~ aNaturalNumber0(sz10) % 64.16/9.56 | | % 64.16/9.57 | | PRED_UNIFY: (1), (58) imply: % 64.16/9.57 | | (59) $false % 64.16/9.57 | | % 64.16/9.57 | | CLOSE: (59) is inconsistent. % 64.16/9.57 | | % 64.16/9.57 | Case 2: % 64.16/9.57 | | % 64.16/9.57 | | % 64.16/9.57 | | GROUND_INST: instantiating (18) with all_56_1, all_64_1, xm, xn, simplifying % 64.16/9.57 | | with (46), (56) gives: % 64.16/9.57 | | (60) all_64_1 = all_56_1 % 64.16/9.57 | | % 64.16/9.57 | | GROUND_INST: instantiating (19) with all_52_2, all_56_4, xr, xn, simplifying % 64.16/9.57 | | with (44), (50) gives: % 64.16/9.57 | | (61) all_56_4 = all_52_2 % 64.16/9.57 | | % 64.16/9.57 | | GROUND_INST: instantiating (19) with all_46_1, all_56_4, xr, xn, simplifying % 64.16/9.57 | | with (28), (50) gives: % 64.16/9.57 | | (62) all_56_4 = all_46_1 % 64.16/9.57 | | % 64.16/9.57 | | COMBINE_EQS: (61), (62) imply: % 64.16/9.57 | | (63) all_52_2 = all_46_1 % 64.16/9.57 | | % 64.16/9.57 | | REDUCE: (43), (63) imply: % 64.16/9.57 | | (64) sdtasdt0(xr, all_46_1) = xn % 64.16/9.57 | | % 64.16/9.57 | | REDUCE: (57), (60) imply: % 64.16/9.57 | | (65) sdtpldt0(all_56_1, xp) = all_64_0 % 64.16/9.57 | | % 64.16/9.57 | | REDUCE: (47), (62) imply: % 64.16/9.57 | | (66) sdtpldt0(all_46_1, xm) = all_56_3 % 64.16/9.57 | | % 64.16/9.57 | | REDUCE: (42), (63) imply: % 64.16/9.57 | | (67) $i(all_46_1) % 64.16/9.57 | | % 64.16/9.57 | | REDUCE: (41), (63) imply: % 64.16/9.57 | | (68) aNaturalNumber0(all_46_1) % 64.16/9.57 | | % 64.16/9.57 | | GROUND_INST: instantiating (18) with all_56_0, all_64_0, xp, all_56_1, % 64.16/9.57 | | simplifying with (49), (65) gives: % 64.16/9.57 | | (69) all_64_0 = all_56_0 % 64.16/9.57 | | % 64.16/9.57 | | GROUND_INST: instantiating (mMonAdd) with xn, xp, xm, all_56_1, simplifying % 64.16/9.57 | | with (4), (5), (6), (13), (14), (15), (34), (46) gives: % 64.16/9.57 | | (70) xp = xn | ? [v0: $i] : ? [v1: $i] : ? [v2: any] : ( ~ (v2 = % 64.16/9.57 | | all_56_1) & ~ (v1 = v0) & sdtpldt0(xp, xm) = v2 & sdtpldt0(xm, % 64.16/9.57 | | xp) = v1 & sdtpldt0(xm, xn) = v0 & $i(v2) & $i(v1) & $i(v0) & % 64.16/9.57 | | sdtlseqdt0(v0, v1) & sdtlseqdt0(all_56_1, v2)) % 64.16/9.57 | | % 64.16/9.57 | | GROUND_INST: instantiating (mSortsB) with xn, xm, all_56_1, simplifying with % 64.16/9.57 | | (4), (5), (13), (14), (46) gives: % 64.16/9.57 | | (71) aNaturalNumber0(all_56_1) % 64.16/9.57 | | % 64.16/9.57 | | GROUND_INST: instantiating (mAddComm) with xn, xm, all_56_1, simplifying % 64.16/9.57 | | with (4), (5), (13), (14), (46) gives: % 64.16/9.57 | | (72) sdtpldt0(xm, xn) = all_56_1 & $i(all_56_1) % 64.16/9.57 | | % 64.16/9.57 | | ALPHA: (72) implies: % 64.16/9.57 | | (73) sdtpldt0(xm, xn) = all_56_1 % 64.16/9.57 | | % 64.16/9.57 | | GROUND_INST: instantiating (mAddComm) with xn, all_50_0, xp, simplifying % 64.16/9.57 | | with (4), (13), (33), (37), (38) gives: % 64.16/9.57 | | (74) sdtpldt0(all_50_0, xn) = xp & $i(xp) % 64.16/9.57 | | % 64.16/9.57 | | GROUND_INST: instantiating (mMonAdd) with xm, xp, all_50_1, xp, simplifying % 64.16/9.57 | | with (5), (6), (14), (15), (32), (35), (36), (39) gives: % 64.16/9.57 | | (75) xp = xm | ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v2 = xp) & % 64.16/9.57 | | ~ (v1 = v0) & sdtpldt0(all_50_1, xp) = v1 & sdtpldt0(all_50_1, xm) % 64.16/9.57 | | = v0 & sdtpldt0(xp, all_50_1) = v2 & $i(v2) & $i(v1) & $i(v0) & % 64.16/9.57 | | sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2)) % 64.16/9.57 | | % 64.16/9.57 | | GROUND_INST: instantiating (mAddComm) with xm, all_50_1, xp, simplifying % 64.16/9.57 | | with (5), (14), (32), (36), (39) gives: % 64.16/9.57 | | (76) sdtpldt0(all_50_1, xm) = xp & $i(xp) % 64.16/9.57 | | % 64.16/9.57 | | ALPHA: (76) implies: % 64.16/9.57 | | (77) sdtpldt0(all_50_1, xm) = xp % 64.16/9.57 | | % 64.16/9.57 | | GROUND_INST: instantiating (mMonAdd) with all_46_1, xn, xm, all_56_3, % 64.16/9.57 | | simplifying with (4), (5), (13), (14), (27), (66), (67), (68) % 64.16/9.57 | | gives: % 64.16/9.58 | | (78) all_46_1 = xn | ? [v0: $i] : ? [v1: $i] : ? [v2: any] : ( ~ (v2 = % 64.16/9.58 | | all_56_3) & ~ (v1 = v0) & sdtpldt0(xm, all_46_1) = v0 & % 64.16/9.58 | | sdtpldt0(xm, xn) = v1 & sdtpldt0(xn, xm) = v2 & $i(v2) & $i(v1) & % 64.16/9.58 | | $i(v0) & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_56_3, v2)) % 64.16/9.58 | | % 64.16/9.58 | | GROUND_INST: instantiating (mSortsB) with all_46_1, xm, all_56_3, % 64.16/9.58 | | simplifying with (5), (14), (66), (67), (68) gives: % 64.16/9.58 | | (79) aNaturalNumber0(all_56_3) % 64.16/9.58 | | % 64.16/9.58 | | GROUND_INST: instantiating (mAddComm) with all_46_1, xm, all_56_3, % 64.16/9.58 | | simplifying with (5), (14), (66), (67), (68) gives: % 64.16/9.58 | | (80) sdtpldt0(xm, all_46_1) = all_56_3 & $i(all_56_3) % 64.16/9.58 | | % 64.16/9.58 | | ALPHA: (80) implies: % 64.16/9.58 | | (81) sdtpldt0(xm, all_46_1) = all_56_3 % 64.16/9.58 | | % 64.16/9.58 | | GROUND_INST: instantiating (mMulComm) with xr, all_46_1, xn, simplifying % 64.16/9.58 | | with (16), (54), (64), (67), (68) gives: % 64.16/9.58 | | (82) sdtasdt0(all_46_1, xr) = xn & $i(xn) % 64.16/9.58 | | % 64.16/9.58 | | GROUND_INST: instantiating (2) with xr, xn, all_46_1, all_40_0, simplifying % 64.16/9.58 | | with (4), (13), (16), (21), (22), (23), (24), (28), (54) gives: % 64.16/9.58 | | (83) all_46_1 = all_40_0 | xr = sz00 % 64.16/9.58 | | % 64.16/9.58 | | BETA: splitting (75) gives: % 64.16/9.58 | | % 64.16/9.58 | | Case 1: % 64.16/9.58 | | | % 64.16/9.58 | | | (84) xp = xm % 64.16/9.58 | | | % 64.16/9.58 | | | REDUCE: (31), (84) imply: % 64.16/9.58 | | | (85) $false % 64.16/9.58 | | | % 64.16/9.58 | | | CLOSE: (85) is inconsistent. % 64.16/9.58 | | | % 64.16/9.58 | | Case 2: % 64.16/9.58 | | | % 64.16/9.58 | | | (86) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v2 = xp) & ~ (v1 = % 64.16/9.58 | | | v0) & sdtpldt0(all_50_1, xp) = v1 & sdtpldt0(all_50_1, xm) = % 64.16/9.58 | | | v0 & sdtpldt0(xp, all_50_1) = v2 & $i(v2) & $i(v1) & $i(v0) & % 64.16/9.58 | | | sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2)) % 64.16/9.58 | | | % 64.16/9.58 | | | DELTA: instantiating (86) with fresh symbols all_126_0, all_126_1, % 64.16/9.58 | | | all_126_2 gives: % 64.16/9.58 | | | (87) ~ (all_126_0 = xp) & ~ (all_126_1 = all_126_2) & % 64.16/9.58 | | | sdtpldt0(all_50_1, xp) = all_126_1 & sdtpldt0(all_50_1, xm) = % 64.16/9.58 | | | all_126_2 & sdtpldt0(xp, all_50_1) = all_126_0 & $i(all_126_0) & % 64.16/9.58 | | | $i(all_126_1) & $i(all_126_2) & sdtlseqdt0(all_126_2, all_126_1) & % 64.16/9.58 | | | sdtlseqdt0(xp, all_126_0) % 64.16/9.58 | | | % 64.16/9.58 | | | ALPHA: (87) implies: % 64.16/9.58 | | | (88) $i(all_126_2) % 64.16/9.58 | | | (89) sdtpldt0(all_50_1, xm) = all_126_2 % 64.16/9.58 | | | % 64.16/9.58 | | | BETA: splitting (78) gives: % 64.16/9.58 | | | % 64.16/9.58 | | | Case 1: % 64.16/9.58 | | | | % 64.16/9.58 | | | | (90) all_46_1 = xn % 64.16/9.58 | | | | % 64.16/9.58 | | | | REDUCE: (26), (90) imply: % 64.16/9.58 | | | | (91) $false % 64.16/9.58 | | | | % 64.16/9.58 | | | | CLOSE: (91) is inconsistent. % 64.16/9.58 | | | | % 64.16/9.58 | | | Case 2: % 64.16/9.58 | | | | % 64.16/9.58 | | | | (92) ? [v0: $i] : ? [v1: $i] : ? [v2: any] : ( ~ (v2 = all_56_3) & % 64.16/9.58 | | | | ~ (v1 = v0) & sdtpldt0(xm, all_46_1) = v0 & sdtpldt0(xm, xn) % 64.16/9.58 | | | | = v1 & sdtpldt0(xn, xm) = v2 & $i(v2) & $i(v1) & $i(v0) & % 64.16/9.58 | | | | sdtlseqdt0(v0, v1) & sdtlseqdt0(all_56_3, v2)) % 64.16/9.58 | | | | % 64.16/9.58 | | | | DELTA: instantiating (92) with fresh symbols all_136_0, all_136_1, % 64.16/9.58 | | | | all_136_2 gives: % 64.16/9.58 | | | | (93) ~ (all_136_0 = all_56_3) & ~ (all_136_1 = all_136_2) & % 64.16/9.58 | | | | sdtpldt0(xm, all_46_1) = all_136_2 & sdtpldt0(xm, xn) = % 64.16/9.58 | | | | all_136_1 & sdtpldt0(xn, xm) = all_136_0 & $i(all_136_0) & % 64.16/9.58 | | | | $i(all_136_1) & $i(all_136_2) & sdtlseqdt0(all_136_2, all_136_1) % 64.16/9.58 | | | | & sdtlseqdt0(all_56_3, all_136_0) % 64.16/9.58 | | | | % 64.16/9.58 | | | | ALPHA: (93) implies: % 64.16/9.58 | | | | (94) ~ (all_136_1 = all_136_2) % 64.16/9.58 | | | | (95) sdtlseqdt0(all_56_3, all_136_0) % 64.16/9.58 | | | | (96) $i(all_136_2) % 64.16/9.58 | | | | (97) $i(all_136_1) % 64.16/9.58 | | | | (98) sdtpldt0(xn, xm) = all_136_0 % 64.16/9.58 | | | | (99) sdtpldt0(xm, xn) = all_136_1 % 64.16/9.58 | | | | (100) sdtpldt0(xm, all_46_1) = all_136_2 % 64.16/9.58 | | | | % 64.16/9.58 | | | | BETA: splitting (70) gives: % 64.16/9.58 | | | | % 64.16/9.58 | | | | Case 1: % 64.16/9.58 | | | | | % 64.16/9.58 | | | | | (101) xp = xn % 64.16/9.58 | | | | | % 64.16/9.58 | | | | | REDUCE: (30), (101) imply: % 64.16/9.58 | | | | | (102) $false % 64.16/9.58 | | | | | % 64.16/9.58 | | | | | CLOSE: (102) is inconsistent. % 64.16/9.58 | | | | | % 64.16/9.58 | | | | Case 2: % 64.16/9.58 | | | | | % 64.16/9.58 | | | | | (103) ? [v0: $i] : ? [v1: $i] : ? [v2: any] : ( ~ (v2 = % 64.16/9.58 | | | | | all_56_1) & ~ (v1 = v0) & sdtpldt0(xp, xm) = v2 & % 64.16/9.58 | | | | | sdtpldt0(xm, xp) = v1 & sdtpldt0(xm, xn) = v0 & $i(v2) & % 64.16/9.58 | | | | | $i(v1) & $i(v0) & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_56_1, % 64.16/9.58 | | | | | v2)) % 64.16/9.58 | | | | | % 64.16/9.58 | | | | | DELTA: instantiating (103) with fresh symbols all_156_0, all_156_1, % 64.16/9.58 | | | | | all_156_2 gives: % 64.16/9.58 | | | | | (104) ~ (all_156_0 = all_56_1) & ~ (all_156_1 = all_156_2) & % 64.16/9.58 | | | | | sdtpldt0(xp, xm) = all_156_0 & sdtpldt0(xm, xp) = all_156_1 & % 64.16/9.58 | | | | | sdtpldt0(xm, xn) = all_156_2 & $i(all_156_0) & $i(all_156_1) % 64.16/9.58 | | | | | & $i(all_156_2) & sdtlseqdt0(all_156_2, all_156_1) & % 64.16/9.58 | | | | | sdtlseqdt0(all_56_1, all_156_0) % 64.16/9.58 | | | | | % 64.16/9.58 | | | | | ALPHA: (104) implies: % 64.16/9.58 | | | | | (105) sdtpldt0(xm, xn) = all_156_2 % 64.16/9.58 | | | | | % 64.16/9.58 | | | | | BETA: splitting (83) gives: % 64.16/9.58 | | | | | % 64.16/9.58 | | | | | Case 1: % 64.16/9.58 | | | | | | % 64.16/9.58 | | | | | | (106) xr = sz00 % 64.16/9.58 | | | | | | % 64.16/9.58 | | | | | | REDUCE: (53), (106) imply: % 64.16/9.58 | | | | | | (107) $false % 64.16/9.58 | | | | | | % 64.16/9.58 | | | | | | CLOSE: (107) is inconsistent. % 64.16/9.58 | | | | | | % 64.16/9.58 | | | | | Case 2: % 64.16/9.58 | | | | | | % 64.16/9.58 | | | | | | (108) all_46_1 = all_40_0 % 64.16/9.58 | | | | | | % 64.16/9.58 | | | | | | REDUCE: (100), (108) imply: % 64.16/9.58 | | | | | | (109) sdtpldt0(xm, all_40_0) = all_136_2 % 64.16/9.58 | | | | | | % 64.16/9.58 | | | | | | REDUCE: (81), (108) imply: % 64.16/9.58 | | | | | | (110) sdtpldt0(xm, all_40_0) = all_56_3 % 64.16/9.58 | | | | | | % 64.16/9.58 | | | | | | GROUND_INST: instantiating (18) with all_56_1, all_136_0, xm, xn, % 64.16/9.58 | | | | | | simplifying with (46), (98) gives: % 64.16/9.58 | | | | | | (111) all_136_0 = all_56_1 % 64.16/9.58 | | | | | | % 64.16/9.58 | | | | | | GROUND_INST: instantiating (18) with all_136_1, all_156_2, xn, xm, % 64.16/9.58 | | | | | | simplifying with (99), (105) gives: % 64.16/9.58 | | | | | | (112) all_156_2 = all_136_1 % 64.16/9.58 | | | | | | % 64.16/9.58 | | | | | | GROUND_INST: instantiating (18) with all_56_1, all_156_2, xn, xm, % 64.16/9.58 | | | | | | simplifying with (73), (105) gives: % 64.16/9.59 | | | | | | (113) all_156_2 = all_56_1 % 64.16/9.59 | | | | | | % 64.16/9.59 | | | | | | GROUND_INST: instantiating (18) with all_56_3, all_136_2, all_40_0, % 64.16/9.59 | | | | | | xm, simplifying with (109), (110) gives: % 64.16/9.59 | | | | | | (114) all_136_2 = all_56_3 % 64.16/9.59 | | | | | | % 64.16/9.59 | | | | | | GROUND_INST: instantiating (18) with xp, all_126_2, xm, all_50_1, % 64.16/9.59 | | | | | | simplifying with (77), (89) gives: % 64.16/9.59 | | | | | | (115) all_126_2 = xp % 64.16/9.59 | | | | | | % 64.16/9.59 | | | | | | COMBINE_EQS: (112), (113) imply: % 64.16/9.59 | | | | | | (116) all_136_1 = all_56_1 % 64.16/9.59 | | | | | | % 64.16/9.59 | | | | | | SIMP: (116) implies: % 64.16/9.59 | | | | | | (117) all_136_1 = all_56_1 % 64.16/9.59 | | | | | | % 64.16/9.59 | | | | | | REDUCE: (94), (114), (117) imply: % 64.16/9.59 | | | | | | (118) ~ (all_56_1 = all_56_3) % 64.16/9.59 | | | | | | % 64.16/9.59 | | | | | | REDUCE: (97), (117) imply: % 64.16/9.59 | | | | | | (119) $i(all_56_1) % 64.16/9.59 | | | | | | % 64.16/9.59 | | | | | | REDUCE: (96), (114) imply: % 64.16/9.59 | | | | | | (120) $i(all_56_3) % 64.16/9.59 | | | | | | % 64.16/9.59 | | | | | | REDUCE: (95), (111) imply: % 64.16/9.59 | | | | | | (121) sdtlseqdt0(all_56_3, all_56_1) % 64.16/9.59 | | | | | | % 64.16/9.59 | | | | | | GROUND_INST: instantiating (mAddComm) with all_56_3, xp, all_56_2, % 64.16/9.59 | | | | | | simplifying with (6), (15), (48), (79), (120) gives: % 64.16/9.59 | | | | | | (122) sdtpldt0(xp, all_56_3) = all_56_2 & $i(all_56_2) % 64.16/9.59 | | | | | | % 64.16/9.59 | | | | | | ALPHA: (122) implies: % 64.16/9.59 | | | | | | (123) sdtpldt0(xp, all_56_3) = all_56_2 % 64.16/9.59 | | | | | | % 64.16/9.59 | | | | | | GROUND_INST: instantiating (mAddComm) with all_56_1, xp, all_56_0, % 64.16/9.59 | | | | | | simplifying with (6), (15), (49), (71), (119) gives: % 64.16/9.59 | | | | | | (124) sdtpldt0(xp, all_56_1) = all_56_0 & $i(all_56_0) % 64.16/9.59 | | | | | | % 64.16/9.59 | | | | | | ALPHA: (124) implies: % 64.16/9.59 | | | | | | (125) sdtpldt0(xp, all_56_1) = all_56_0 % 64.16/9.59 | | | | | | % 64.16/9.59 | | | | | | GROUND_INST: instantiating (mMonAdd) with all_56_3, all_56_1, xp, % 64.16/9.59 | | | | | | all_56_2, simplifying with (6), (15), (48), (71), (79), % 64.16/9.59 | | | | | | (119), (120), (121) gives: % 64.16/9.59 | | | | | | (126) all_56_1 = all_56_3 | ? [v0: $i] : ? [v1: $i] : ? [v2: % 64.16/9.59 | | | | | | any] : ( ~ (v2 = all_56_2) & ~ (v1 = v0) & % 64.16/9.59 | | | | | | sdtpldt0(all_56_1, xp) = v2 & sdtpldt0(xp, all_56_1) = v1 % 64.16/9.59 | | | | | | & sdtpldt0(xp, all_56_3) = v0 & $i(v2) & $i(v1) & $i(v0) % 64.16/9.59 | | | | | | & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_56_2, v2)) % 64.16/9.59 | | | | | | % 64.16/9.59 | | | | | | BETA: splitting (126) gives: % 64.16/9.59 | | | | | | % 64.16/9.59 | | | | | | Case 1: % 64.16/9.59 | | | | | | | % 64.16/9.59 | | | | | | | (127) all_56_1 = all_56_3 % 64.16/9.59 | | | | | | | % 64.16/9.59 | | | | | | | REDUCE: (118), (127) imply: % 64.16/9.59 | | | | | | | (128) $false % 64.16/9.59 | | | | | | | % 64.16/9.59 | | | | | | | CLOSE: (128) is inconsistent. % 64.16/9.59 | | | | | | | % 64.16/9.59 | | | | | | Case 2: % 64.16/9.59 | | | | | | | % 64.16/9.59 | | | | | | | (129) ? [v0: $i] : ? [v1: $i] : ? [v2: any] : ( ~ (v2 = % 64.16/9.59 | | | | | | | all_56_2) & ~ (v1 = v0) & sdtpldt0(all_56_1, xp) = % 64.16/9.59 | | | | | | | v2 & sdtpldt0(xp, all_56_1) = v1 & sdtpldt0(xp, % 64.16/9.59 | | | | | | | all_56_3) = v0 & $i(v2) & $i(v1) & $i(v0) & % 64.16/9.59 | | | | | | | sdtlseqdt0(v0, v1) & sdtlseqdt0(all_56_2, v2)) % 64.16/9.59 | | | | | | | % 64.16/9.59 | | | | | | | DELTA: instantiating (129) with fresh symbols all_409_0, % 64.16/9.59 | | | | | | | all_409_1, all_409_2 gives: % 64.16/9.59 | | | | | | | (130) ~ (all_409_0 = all_56_2) & ~ (all_409_1 = all_409_2) & % 64.16/9.59 | | | | | | | sdtpldt0(all_56_1, xp) = all_409_0 & sdtpldt0(xp, % 64.16/9.59 | | | | | | | all_56_1) = all_409_1 & sdtpldt0(xp, all_56_3) = % 64.16/9.59 | | | | | | | all_409_2 & $i(all_409_0) & $i(all_409_1) & $i(all_409_2) % 64.16/9.59 | | | | | | | & sdtlseqdt0(all_409_2, all_409_1) & sdtlseqdt0(all_56_2, % 64.16/9.59 | | | | | | | all_409_0) % 64.16/9.59 | | | | | | | % 64.16/9.59 | | | | | | | ALPHA: (130) implies: % 64.16/9.59 | | | | | | | (131) ~ (all_409_1 = all_409_2) % 64.16/9.59 | | | | | | | (132) sdtlseqdt0(all_56_2, all_409_0) % 64.16/9.59 | | | | | | | (133) sdtpldt0(xp, all_56_3) = all_409_2 % 64.16/9.59 | | | | | | | (134) sdtpldt0(xp, all_56_1) = all_409_1 % 64.16/9.59 | | | | | | | (135) sdtpldt0(all_56_1, xp) = all_409_0 % 64.16/9.59 | | | | | | | % 64.16/9.59 | | | | | | | GROUND_INST: instantiating (18) with all_56_2, all_409_2, % 64.16/9.59 | | | | | | | all_56_3, xp, simplifying with (123), (133) gives: % 64.16/9.59 | | | | | | | (136) all_409_2 = all_56_2 % 64.16/9.59 | | | | | | | % 64.16/9.59 | | | | | | | GROUND_INST: instantiating (18) with all_56_0, all_409_1, % 64.16/9.59 | | | | | | | all_56_1, xp, simplifying with (125), (134) gives: % 64.16/9.59 | | | | | | | (137) all_409_1 = all_56_0 % 64.16/9.59 | | | | | | | % 64.16/9.59 | | | | | | | GROUND_INST: instantiating (18) with all_56_0, all_409_0, xp, % 64.16/9.59 | | | | | | | all_56_1, simplifying with (49), (135) gives: % 64.16/9.59 | | | | | | | (138) all_409_0 = all_56_0 % 64.16/9.59 | | | | | | | % 64.16/9.59 | | | | | | | REDUCE: (131), (136), (137) imply: % 64.16/9.59 | | | | | | | (139) ~ (all_56_0 = all_56_2) % 64.16/9.59 | | | | | | | % 64.16/9.59 | | | | | | | REDUCE: (132), (138) imply: % 64.16/9.59 | | | | | | | (140) sdtlseqdt0(all_56_2, all_56_0) % 64.16/9.59 | | | | | | | % 64.16/9.59 | | | | | | | BETA: splitting (51) gives: % 64.16/9.59 | | | | | | | % 64.16/9.59 | | | | | | | Case 1: % 64.16/9.59 | | | | | | | | % 64.16/9.59 | | | | | | | | (141) all_56_0 = all_56_2 % 64.16/9.59 | | | | | | | | % 64.16/9.59 | | | | | | | | REDUCE: (139), (141) imply: % 64.16/9.59 | | | | | | | | (142) $false % 64.16/9.59 | | | | | | | | % 64.16/9.59 | | | | | | | | CLOSE: (142) is inconsistent. % 64.16/9.59 | | | | | | | | % 64.16/9.59 | | | | | | | Case 2: % 64.16/9.59 | | | | | | | | % 64.16/9.59 | | | | | | | | (143) ~ sdtlseqdt0(all_56_2, all_56_0) & ! [v0: $i] : ( ~ % 64.16/9.59 | | | | | | | | (sdtpldt0(all_56_2, v0) = all_56_0) | ~ $i(v0) | ~ % 64.16/9.59 | | | | | | | | aNaturalNumber0(v0)) % 64.16/9.59 | | | | | | | | % 64.16/9.59 | | | | | | | | ALPHA: (143) implies: % 64.16/9.59 | | | | | | | | (144) ~ sdtlseqdt0(all_56_2, all_56_0) % 64.16/9.59 | | | | | | | | % 64.16/9.59 | | | | | | | | PRED_UNIFY: (140), (144) imply: % 64.16/9.59 | | | | | | | | (145) $false % 64.16/9.59 | | | | | | | | % 64.16/9.59 | | | | | | | | CLOSE: (145) is inconsistent. % 64.16/9.59 | | | | | | | | % 64.16/9.59 | | | | | | | End of split % 64.16/9.59 | | | | | | | % 64.16/9.59 | | | | | | End of split % 64.16/9.59 | | | | | | % 64.16/9.59 | | | | | End of split % 64.16/9.59 | | | | | % 64.16/9.59 | | | | End of split % 64.16/9.59 | | | | % 64.16/9.59 | | | End of split % 64.16/9.59 | | | % 64.16/9.59 | | End of split % 64.16/9.59 | | % 64.16/9.59 | End of split % 64.16/9.59 | % 64.16/9.59 End of proof % 64.16/9.59 % SZS output end Proof for theBenchmark % 64.16/9.59 % 64.16/9.59 9003ms %------------------------------------------------------------------------------