%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : NUM517+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n010.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 : 600s % DateTime : Mon Jul 18 08:45:22 EDT 2022 % Result : Theorem 22.97s 6.86s % Output : Proof 50.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : NUM517+1 : TPTP v8.1.0. Released v4.0.0. % 0.11/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n010.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Thu Jul 7 20:16:46 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.58 ____ _ % 0.19/0.58 ___ / __ \_____(_)___ ________ __________ % 0.19/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.19/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.19/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.19/0.58 % 0.19/0.58 A Theorem Prover for First-Order Logic % 0.19/0.58 (ePrincess v.1.0) % 0.19/0.58 % 0.19/0.58 (c) Philipp Rümmer, 2009-2015 % 0.19/0.58 (c) Peter Backeman, 2014-2015 % 0.19/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.19/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.19/0.58 Bug reports to peter@backeman.se % 0.19/0.58 % 0.19/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.19/0.58 % 0.19/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.19/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.09/1.02 Prover 0: Preprocessing ... % 3.97/1.53 Prover 0: Constructing countermodel ... % 19.15/5.92 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 19.47/6.01 Prover 1: Preprocessing ... % 20.10/6.19 Prover 1: Constructing countermodel ... % 22.97/6.86 Prover 1: proved (934ms) % 22.97/6.86 Prover 0: stopped % 22.97/6.86 % 22.97/6.86 No countermodel exists, formula is valid % 22.97/6.86 % SZS status Theorem for theBenchmark % 22.97/6.86 % 22.97/6.86 Generating proof ... found it (size 901) % 49.67/18.55 % 49.67/18.55 % SZS output start Proof for theBenchmark % 49.67/18.55 Assumed formulas after preprocessing and simplification: % 49.67/18.55 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ( ~ (v11 = 0) & ~ (v10 = 0) & ~ (v9 = v1) & ~ (v6 = xn) & ~ (v4 = 0) & ~ (v3 = 0) & ~ (xk = xp) & ~ (xk = sz10) & ~ (xk = sz00) & ~ (xp = xm) & ~ (xp = xn) & ~ (sz10 = sz00) & isPrime0(xr) = 0 & isPrime0(xp) = 0 & sdtsldt0(v2, xp) = xk & sdtsldt0(xn, xr) = v6 & doDivides0(xr, v2) = 0 & doDivides0(xr, xk) = 0 & doDivides0(xr, xm) = v5 & doDivides0(xr, xn) = 0 & doDivides0(xp, v7) = 0 & doDivides0(xp, v6) = v10 & doDivides0(xp, v2) = 0 & doDivides0(xp, xm) = v11 & sdtlseqdt0(v9, v1) = 0 & sdtlseqdt0(v6, xn) = 0 & sdtlseqdt0(xr, xk) = 0 & sdtlseqdt0(xk, xp) = 0 & sdtlseqdt0(xp, xm) = v4 & sdtlseqdt0(xp, xn) = v3 & sdtlseqdt0(xm, xp) = 0 & sdtlseqdt0(xn, xp) = 0 & sdtasdt0(v6, xm) = v7 & sdtasdt0(xn, xm) = v2 & sdtpldt0(v8, xp) = v9 & sdtpldt0(v6, xm) = v8 & sdtpldt0(v0, xp) = v1 & sdtpldt0(xn, xm) = v0 & aNaturalNumber0(xr) = 0 & aNaturalNumber0(xp) = 0 & aNaturalNumber0(xm) = 0 & aNaturalNumber0(xn) = 0 & aNaturalNumber0(sz10) = 0 & aNaturalNumber0(sz00) = 0 & ~ (isPrime0(sz10) = 0) & ~ (isPrime0(sz00) = 0) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v14 = v13 | v12 = sz00 | ~ (sdtlseqdt0(v15, v16) = v17) | ~ (sdtasdt0(v12, v14) = v16) | ~ (sdtasdt0(v12, v13) = v15) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (sdtlseqdt0(v22, v23) = v24 & sdtlseqdt0(v13, v14) = v21 & sdtasdt0(v14, v12) = v23 & sdtasdt0(v13, v12) = v22 & aNaturalNumber0(v14) = v20 & aNaturalNumber0(v13) = v19 & aNaturalNumber0(v12) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | (v24 = 0 & v17 = 0 & ~ (v23 = v22) & ~ (v16 = v15))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v13 = v12 | ~ (sdtlseqdt0(v15, v16) = v17) | ~ (sdtlseqdt0(v12, v13) = 0) | ~ (sdtpldt0(v13, v14) = v16) | ~ (sdtpldt0(v12, v14) = v15) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ((sdtlseqdt0(v19, v20) = v21 & sdtpldt0(v14, v13) = v20 & sdtpldt0(v14, v12) = v19 & aNaturalNumber0(v14) = v18 & ( ~ (v18 = 0) | (v21 = 0 & v17 = 0 & ~ (v20 = v19) & ~ (v16 = v15)))) | (aNaturalNumber0(v13) = v19 & aNaturalNumber0(v12) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v12 = sz00 | ~ (sdtsldt0(v16, v12) = v17) | ~ (sdtsldt0(v13, v12) = v14) | ~ (sdtasdt0(v15, v13) = v16) | ? [v18] : ? [v19] : ? [v20] : ((doDivides0(v12, v13) = v20 & aNaturalNumber0(v13) = v19 & aNaturalNumber0(v12) = v18 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0))) | (sdtasdt0(v15, v14) = v19 & aNaturalNumber0(v15) = v18 & ( ~ (v18 = 0) | v19 = v17)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (sdtasdt0(v12, v14) = v16) | ~ (sdtasdt0(v12, v13) = v15) | ~ (sdtpldt0(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : (sdtasdt0(v21, v12) = v23 & sdtasdt0(v14, v12) = v25 & sdtasdt0(v13, v12) = v24 & sdtasdt0(v12, v21) = v22 & sdtpldt0(v24, v25) = v26 & sdtpldt0(v13, v14) = v21 & aNaturalNumber0(v14) = v20 & aNaturalNumber0(v13) = v19 & aNaturalNumber0(v12) = v18 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | (v26 = v23 & v22 = v17)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (doDivides0(v12, v15) = v16) | ~ (sdtpldt0(v13, v14) = v15) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (doDivides0(v12, v14) = v21 & doDivides0(v12, v13) = v20 & aNaturalNumber0(v14) = v19 & aNaturalNumber0(v13) = v18 & aNaturalNumber0(v12) = v17 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | v12 = sz00 | ~ (sdtasdt0(v12, v14) = v16) | ~ (sdtasdt0(v12, v13) = v15) | ~ (aNaturalNumber0(v12) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : (sdtasdt0(v14, v12) = v20 & sdtasdt0(v13, v12) = v19 & aNaturalNumber0(v14) = v18 & aNaturalNumber0(v13) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0) | ( ~ (v20 = v19) & ~ (v16 = v15))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (sdtpldt0(v12, v14) = v16) | ~ (sdtpldt0(v12, v13) = v15) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (sdtpldt0(v14, v12) = v21 & sdtpldt0(v13, v12) = v20 & aNaturalNumber0(v14) = v19 & aNaturalNumber0(v13) = v18 & aNaturalNumber0(v12) = v17 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ( ~ (v21 = v20) & ~ (v16 = v15))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (sdtasdt0(v15, v14) = v16) | ~ (sdtasdt0(v12, v13) = v15) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (sdtasdt0(v13, v14) = v20 & sdtasdt0(v12, v20) = v21 & aNaturalNumber0(v14) = v19 & aNaturalNumber0(v13) = v18 & aNaturalNumber0(v12) = v17 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | v21 = v16))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (sdtpldt0(v15, v14) = v16) | ~ (sdtpldt0(v12, v13) = v15) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (sdtpldt0(v13, v14) = v20 & sdtpldt0(v12, v20) = v21 & aNaturalNumber0(v14) = v19 & aNaturalNumber0(v13) = v18 & aNaturalNumber0(v12) = v17 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | v21 = v16))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v14 | v12 = sz00 | ~ (sdtsldt0(v13, v12) = v14) | ~ (sdtasdt0(v12, v15) = v13) | ? [v16] : ? [v17] : ? [v18] : (( ~ (v16 = 0) & aNaturalNumber0(v15) = v16) | (doDivides0(v12, v13) = v18 & aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v14 | ~ (sdtmndt0(v13, v12) = v14) | ~ (sdtpldt0(v12, v15) = v13) | ? [v16] : ? [v17] : ? [v18] : (( ~ (v16 = 0) & aNaturalNumber0(v15) = v16) | (sdtlseqdt0(v12, v13) = v18 & aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v13 | v12 = sz00 | ~ (sdtsldt0(v13, v12) = v14) | ~ (sdtasdt0(v12, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : (doDivides0(v12, v13) = v18 & aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v13 | ~ (sdtmndt0(v13, v12) = v14) | ~ (sdtpldt0(v12, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : (sdtlseqdt0(v12, v13) = v18 & aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | v12 = sz00 | ~ (sdtlseqdt0(v13, v14) = v15) | ~ (sdtasdt0(v13, v12) = v14) | ? [v16] : ? [v17] : (aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (doDivides0(v12, v14) = v15) | ~ (doDivides0(v12, v13) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : (doDivides0(v13, v14) = v19 & aNaturalNumber0(v14) = v18 & aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (sdtlseqdt0(v12, v14) = v15) | ~ (sdtlseqdt0(v12, v13) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : (sdtlseqdt0(v13, v14) = v19 & aNaturalNumber0(v14) = v18 & aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (doDivides0(v12, v13) = v14) | ~ (sdtasdt0(v12, v15) = v13) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & aNaturalNumber0(v15) = v16) | (aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (sdtlseqdt0(v12, v13) = v14) | ~ (sdtpldt0(v12, v15) = v13) | ? [v16] : ? [v17] : (( ~ (v16 = 0) & aNaturalNumber0(v15) = v16) | (aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (sdtsldt0(v15, v14) = v13) | ~ (sdtsldt0(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (doDivides0(v15, v14) = v13) | ~ (doDivides0(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (iLess0(v15, v14) = v13) | ~ (iLess0(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (sdtmndt0(v15, v14) = v13) | ~ (sdtmndt0(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (sdtlseqdt0(v15, v14) = v13) | ~ (sdtlseqdt0(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (sdtasdt0(v15, v14) = v13) | ~ (sdtasdt0(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (sdtpldt0(v15, v14) = v13) | ~ (sdtpldt0(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = sz00 | ~ (sdtsldt0(v13, v12) = v14) | ~ (sdtasdt0(v12, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ((v16 = 0 & aNaturalNumber0(v14) = 0) | (doDivides0(v12, v13) = v18 & aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (doDivides0(v14, v15) = 0) | ~ (sdtasdt0(v12, v13) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (isPrime0(v14) = v19 & doDivides0(v14, v13) = v24 & doDivides0(v14, v12) = v23 & iLess0(v21, v1) = v22 & sdtpldt0(v20, v14) = v21 & sdtpldt0(v12, v13) = v20 & aNaturalNumber0(v14) = v18 & aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v22 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v24 = 0 | v23 = 0))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (doDivides0(v12, v15) = 0) | ~ (sdtpldt0(v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (doDivides0(v12, v14) = v20 & doDivides0(v12, v13) = v19 & aNaturalNumber0(v14) = v18 & aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = 0))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (sdtmndt0(v13, v12) = v14) | ~ (sdtpldt0(v12, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ((v16 = 0 & aNaturalNumber0(v14) = 0) | (sdtlseqdt0(v12, v13) = v18 & aNaturalNumber0(v13) = v17 & aNaturalNumber0(v12) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = v12 | ~ (iLess0(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (sdtlseqdt0(v12, v13) = v17 & aNaturalNumber0(v13) = v16 & aNaturalNumber0(v12) = v15 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = sz00 | ~ (sdtlseqdt0(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (doDivides0(v12, v13) = v17 & aNaturalNumber0(v13) = v16 & aNaturalNumber0(v12) = v15 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (sdtlseqdt0(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (sdtlseqdt0(v13, v12) = v17 & aNaturalNumber0(v13) = v16 & aNaturalNumber0(v12) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0) | (v17 = 0 & ~ (v13 = v12))))) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (isPrime0(v14) = v13) | ~ (isPrime0(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (aNaturalNumber0(v14) = v13) | ~ (aNaturalNumber0(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtasdt0(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (sdtasdt0(v13, v12) = v17 & aNaturalNumber0(v13) = v16 & aNaturalNumber0(v12) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0) | v17 = v14))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtasdt0(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (aNaturalNumber0(v14) = v17 & aNaturalNumber0(v13) = v16 & aNaturalNumber0(v12) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0) | v17 = 0))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtpldt0(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (sdtpldt0(v13, v12) = v17 & aNaturalNumber0(v13) = v16 & aNaturalNumber0(v12) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0) | v17 = v14))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtpldt0(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (aNaturalNumber0(v14) = v17 & aNaturalNumber0(v13) = v16 & aNaturalNumber0(v12) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0) | v17 = 0))) & ! [v12] : ! [v13] : (v13 = v12 | v13 = sz10 | ~ (isPrime0(v12) = 0) | ~ (doDivides0(v13, v12) = 0) | ? [v14] : (( ~ (v14 = 0) & aNaturalNumber0(v13) = v14) | ( ~ (v14 = 0) & aNaturalNumber0(v12) = v14))) & ! [v12] : ! [v13] : (v13 = v12 | ~ (sdtlseqdt0(v12, v13) = 0) | ? [v14] : ? [v15] : ? [v16] : (sdtlseqdt0(v13, v12) = v16 & aNaturalNumber0(v13) = v15 & aNaturalNumber0(v12) = v14 & ( ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : (v13 = sz00 | v12 = sz00 | ~ (sdtasdt0(v12, v13) = sz00) | ? [v14] : ? [v15] : (aNaturalNumber0(v13) = v15 & aNaturalNumber0(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : (v13 = sz00 | ~ (sdtpldt0(v12, v13) = sz00) | ? [v14] : ? [v15] : (aNaturalNumber0(v13) = v15 & aNaturalNumber0(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : (v13 = 0 | v12 = sz10 | v12 = sz00 | ~ (isPrime0(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ((v16 = 0 & v15 = 0 & ~ (v14 = v12) & ~ (v14 = sz10) & doDivides0(v14, v12) = 0 & aNaturalNumber0(v14) = 0) | ( ~ (v14 = 0) & aNaturalNumber0(v12) = v14))) & ! [v12] : ! [v13] : (v13 = 0 | v12 = sz10 | v12 = sz00 | ~ (sdtlseqdt0(sz10, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & aNaturalNumber0(v12) = v14)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (sdtlseqdt0(v12, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & aNaturalNumber0(v12) = v14)) & ! [v12] : ! [v13] : (v12 = sz00 | ~ (sdtpldt0(v12, v13) = sz00) | ? [v14] : ? [v15] : (aNaturalNumber0(v13) = v15 & aNaturalNumber0(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v12] : ! [v13] : ( ~ (doDivides0(v12, v13) = 0) | ? [v14] : ? [v15] : ? [v16] : ((v16 = v13 & v15 = 0 & sdtasdt0(v12, v14) = v13 & aNaturalNumber0(v14) = 0) | (aNaturalNumber0(v13) = v15 & aNaturalNumber0(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0))))) & ! [v12] : ! [v13] : ( ~ (sdtlseqdt0(v12, v13) = 0) | ? [v14] : ? [v15] : ? [v16] : ((v16 = v13 & v15 = 0 & sdtpldt0(v12, v14) = v13 & aNaturalNumber0(v14) = 0) | (aNaturalNumber0(v13) = v15 & aNaturalNumber0(v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0))))) & ! [v12] : ! [v13] : ( ~ (sdtasdt0(sz10, v12) = v13) | ? [v14] : ? [v15] : (sdtasdt0(v12, sz10) = v15 & aNaturalNumber0(v12) = v14 & ( ~ (v14 = 0) | (v15 = v12 & v13 = v12)))) & ! [v12] : ! [v13] : ( ~ (sdtasdt0(sz00, v12) = v13) | ? [v14] : ? [v15] : (sdtasdt0(v12, sz00) = v15 & aNaturalNumber0(v12) = v14 & ( ~ (v14 = 0) | (v15 = sz00 & v13 = sz00)))) & ! [v12] : ! [v13] : ( ~ (sdtpldt0(sz00, v12) = v13) | ? [v14] : ? [v15] : (sdtpldt0(v12, sz00) = v15 & aNaturalNumber0(v12) = v14 & ( ~ (v14 = 0) | (v15 = v12 & v13 = v12)))) & ! [v12] : (v12 = sz10 | v12 = sz00 | ~ (aNaturalNumber0(v12) = 0) | ? [v13] : (isPrime0(v13) = 0 & doDivides0(v13, v12) = 0 & aNaturalNumber0(v13) = 0))) % 50.01/18.63 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11 yields: % 50.01/18.63 | (1) ~ (all_0_0_0 = 0) & ~ (all_0_1_1 = 0) & ~ (all_0_2_2 = all_0_10_10) & ~ (all_0_5_5 = xn) & ~ (all_0_7_7 = 0) & ~ (all_0_8_8 = 0) & ~ (xk = xp) & ~ (xk = sz10) & ~ (xk = sz00) & ~ (xp = xm) & ~ (xp = xn) & ~ (sz10 = sz00) & isPrime0(xr) = 0 & isPrime0(xp) = 0 & sdtsldt0(all_0_9_9, xp) = xk & sdtsldt0(xn, xr) = all_0_5_5 & doDivides0(xr, all_0_9_9) = 0 & doDivides0(xr, xk) = 0 & doDivides0(xr, xm) = all_0_6_6 & doDivides0(xr, xn) = 0 & doDivides0(xp, all_0_4_4) = 0 & doDivides0(xp, all_0_5_5) = all_0_1_1 & doDivides0(xp, all_0_9_9) = 0 & doDivides0(xp, xm) = all_0_0_0 & sdtlseqdt0(all_0_2_2, all_0_10_10) = 0 & sdtlseqdt0(all_0_5_5, xn) = 0 & sdtlseqdt0(xr, xk) = 0 & sdtlseqdt0(xk, xp) = 0 & sdtlseqdt0(xp, xm) = all_0_7_7 & sdtlseqdt0(xp, xn) = all_0_8_8 & sdtlseqdt0(xm, xp) = 0 & sdtlseqdt0(xn, xp) = 0 & sdtasdt0(all_0_5_5, xm) = all_0_4_4 & sdtasdt0(xn, xm) = all_0_9_9 & sdtpldt0(all_0_3_3, xp) = all_0_2_2 & sdtpldt0(all_0_5_5, xm) = all_0_3_3 & sdtpldt0(all_0_11_11, xp) = all_0_10_10 & sdtpldt0(xn, xm) = all_0_11_11 & aNaturalNumber0(xr) = 0 & aNaturalNumber0(xp) = 0 & aNaturalNumber0(xm) = 0 & aNaturalNumber0(xn) = 0 & aNaturalNumber0(sz10) = 0 & aNaturalNumber0(sz00) = 0 & ~ (isPrime0(sz10) = 0) & ~ (isPrime0(sz00) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = v1 | v0 = sz00 | ~ (sdtlseqdt0(v3, v4) = v5) | ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (sdtlseqdt0(v10, v11) = v12 & sdtlseqdt0(v1, v2) = v9 & sdtasdt0(v2, v0) = v11 & sdtasdt0(v1, v0) = v10 & aNaturalNumber0(v2) = v8 & aNaturalNumber0(v1) = v7 & aNaturalNumber0(v0) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | (v12 = 0 & v5 = 0 & ~ (v11 = v10) & ~ (v4 = v3))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (sdtlseqdt0(v3, v4) = v5) | ~ (sdtlseqdt0(v0, v1) = 0) | ~ (sdtpldt0(v1, v2) = v4) | ~ (sdtpldt0(v0, v2) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((sdtlseqdt0(v7, v8) = v9 & sdtpldt0(v2, v1) = v8 & sdtpldt0(v2, v0) = v7 & aNaturalNumber0(v2) = v6 & ( ~ (v6 = 0) | (v9 = 0 & v5 = 0 & ~ (v8 = v7) & ~ (v4 = v3)))) | (aNaturalNumber0(v1) = v7 & aNaturalNumber0(v0) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v0 = sz00 | ~ (sdtsldt0(v4, v0) = v5) | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v3, v1) = v4) | ? [v6] : ? [v7] : ? [v8] : ((doDivides0(v0, v1) = v8 & aNaturalNumber0(v1) = v7 & aNaturalNumber0(v0) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0))) | (sdtasdt0(v3, v2) = v7 & aNaturalNumber0(v3) = v6 & ( ~ (v6 = 0) | v7 = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (sdtasdt0(v9, v0) = v11 & sdtasdt0(v2, v0) = v13 & sdtasdt0(v1, v0) = v12 & sdtasdt0(v0, v9) = v10 & sdtpldt0(v12, v13) = v14 & sdtpldt0(v1, v2) = v9 & aNaturalNumber0(v2) = v8 & aNaturalNumber0(v1) = v7 & aNaturalNumber0(v0) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | (v14 = v11 & v10 = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (doDivides0(v0, v3) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (doDivides0(v0, v2) = v9 & doDivides0(v0, v1) = v8 & aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) = v5 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (aNaturalNumber0(v0) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (sdtasdt0(v2, v0) = v8 & sdtasdt0(v1, v0) = v7 & aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | ( ~ (v8 = v7) & ~ (v4 = v3))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (sdtpldt0(v0, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtpldt0(v2, v0) = v9 & sdtpldt0(v1, v0) = v8 & aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ( ~ (v9 = v8) & ~ (v4 = v3))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v1, v2) = v8 & sdtasdt0(v0, v8) = v9 & aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtpldt0(v1, v2) = v8 & sdtpldt0(v0, v8) = v9 & aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v3) = v1) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v4 = 0) & aNaturalNumber0(v3) = v4) | (doDivides0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v3) = v1) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v4 = 0) & aNaturalNumber0(v3) = v4) | (sdtlseqdt0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (doDivides0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v0 = sz00 | ~ (sdtlseqdt0(v1, v2) = v3) | ~ (sdtasdt0(v1, v0) = v2) | ? [v4] : ? [v5] : (aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (doDivides0(v0, v2) = v3) | ~ (doDivides0(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (doDivides0(v1, v2) = v7 & aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (sdtlseqdt0(v0, v2) = v3) | ~ (sdtlseqdt0(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (sdtlseqdt0(v1, v2) = v7 & aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (doDivides0(v0, v1) = v2) | ~ (sdtasdt0(v0, v3) = v1) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & aNaturalNumber0(v3) = v4) | (aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (sdtlseqdt0(v0, v1) = v2) | ~ (sdtpldt0(v0, v3) = v1) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & aNaturalNumber0(v3) = v4) | (aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~ (doDivides0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtmndt0(v3, v2) = v1) | ~ (sdtmndt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ((v4 = 0 & aNaturalNumber0(v2) = 0) | (doDivides0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (doDivides0(v2, v3) = 0) | ~ (sdtasdt0(v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (isPrime0(v2) = v7 & doDivides0(v2, v1) = v12 & doDivides0(v2, v0) = v11 & iLess0(v9, all_0_10_10) = v10 & sdtpldt0(v8, v2) = v9 & sdtpldt0(v0, v1) = v8 & aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v10 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v12 = 0 | v11 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (doDivides0(v0, v3) = 0) | ~ (sdtpldt0(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (doDivides0(v0, v2) = v8 & doDivides0(v0, v1) = v7 & aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ((v4 = 0 & aNaturalNumber0(v2) = 0) | (sdtlseqdt0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (iLess0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(v0, v1) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = sz00 | ~ (sdtlseqdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (doDivides0(v0, v1) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (sdtlseqdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v5 = 0 & ~ (v1 = v0))))) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (isPrime0(v2) = v1) | ~ (isPrime0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtasdt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtpldt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : (v1 = v0 | v1 = sz10 | ~ (isPrime0(v0) = 0) | ~ (doDivides0(v1, v0) = 0) | ? [v2] : (( ~ (v2 = 0) & aNaturalNumber0(v1) = v2) | ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtlseqdt0(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : (sdtlseqdt0(v1, v0) = v4 & aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = sz00 | v0 = sz00 | ~ (sdtasdt0(v0, v1) = sz00) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = sz00 | ~ (sdtpldt0(v0, v1) = sz00) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = 0 | v0 = sz10 | v0 = sz00 | ~ (isPrime0(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ((v4 = 0 & v3 = 0 & ~ (v2 = v0) & ~ (v2 = sz10) & doDivides0(v2, v0) = 0 & aNaturalNumber0(v2) = 0) | ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2))) & ! [v0] : ! [v1] : (v1 = 0 | v0 = sz10 | v0 = sz00 | ~ (sdtlseqdt0(sz10, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (sdtlseqdt0(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2)) & ! [v0] : ! [v1] : (v0 = sz00 | ~ (sdtpldt0(v0, v1) = sz00) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : ( ~ (doDivides0(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v1 & v3 = 0 & sdtasdt0(v0, v2) = v1 & aNaturalNumber0(v2) = 0) | (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))) & ! [v0] : ! [v1] : ( ~ (sdtlseqdt0(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v1 & v3 = 0 & sdtpldt0(v0, v2) = v1 & aNaturalNumber0(v2) = 0) | (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) | ? [v2] : ? [v3] : (sdtasdt0(v0, sz10) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = v0 & v1 = v0)))) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz00, v0) = v1) | ? [v2] : ? [v3] : (sdtasdt0(v0, sz00) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = sz00 & v1 = sz00)))) & ! [v0] : ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) | ? [v2] : ? [v3] : (sdtpldt0(v0, sz00) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = v0 & v1 = v0)))) & ! [v0] : (v0 = sz10 | v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ? [v1] : (isPrime0(v1) = 0 & doDivides0(v1, v0) = 0 & aNaturalNumber0(v1) = 0)) % 50.01/18.67 | % 50.01/18.67 | Applying alpha-rule on (1) yields: % 50.01/18.67 | (2) ~ (all_0_8_8 = 0) % 50.01/18.67 | (3) doDivides0(xr, xk) = 0 % 50.01/18.67 | (4) ~ (xk = sz10) % 50.01/18.67 | (5) aNaturalNumber0(sz00) = 0 % 50.01/18.67 | (6) sdtlseqdt0(xp, xn) = all_0_8_8 % 50.01/18.67 | (7) doDivides0(xp, all_0_5_5) = all_0_1_1 % 50.01/18.67 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) % 50.01/18.67 | (9) ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz00, v0) = v1) | ? [v2] : ? [v3] : (sdtasdt0(v0, sz00) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = sz00 & v1 = sz00)))) % 50.01/18.67 | (10) ! [v0] : ! [v1] : ( ~ (sdtlseqdt0(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v1 & v3 = 0 & sdtpldt0(v0, v2) = v1 & aNaturalNumber0(v2) = 0) | (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))) % 50.01/18.67 | (11) sdtsldt0(all_0_9_9, xp) = xk % 50.01/18.67 | (12) sdtlseqdt0(xp, xm) = all_0_7_7 % 50.01/18.67 | (13) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = sz00 | ~ (sdtlseqdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (doDivides0(v0, v1) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0)))) % 50.01/18.67 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) % 50.01/18.67 | (15) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtasdt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2))) % 50.01/18.67 | (16) ! [v0] : ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) | ? [v2] : ? [v3] : (sdtpldt0(v0, sz00) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = v0 & v1 = v0)))) % 50.01/18.67 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ((v4 = 0 & aNaturalNumber0(v2) = 0) | (doDivides0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0))))) % 50.01/18.67 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (doDivides0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))) % 50.01/18.67 | (19) ~ (all_0_1_1 = 0) % 50.01/18.67 | (20) doDivides0(xp, all_0_4_4) = 0 % 50.01/18.67 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (sdtasdt0(v9, v0) = v11 & sdtasdt0(v2, v0) = v13 & sdtasdt0(v1, v0) = v12 & sdtasdt0(v0, v9) = v10 & sdtpldt0(v12, v13) = v14 & sdtpldt0(v1, v2) = v9 & aNaturalNumber0(v2) = v8 & aNaturalNumber0(v1) = v7 & aNaturalNumber0(v0) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | (v14 = v11 & v10 = v5)))) % 50.01/18.67 | (22) ~ (all_0_7_7 = 0) % 50.01/18.67 | (23) aNaturalNumber0(xp) = 0 % 50.01/18.67 | (24) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) % 50.01/18.67 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (sdtlseqdt0(v0, v2) = v3) | ~ (sdtlseqdt0(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (sdtlseqdt0(v1, v2) = v7 & aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))) % 50.01/18.68 | (26) ! [v0] : ! [v1] : (v1 = 0 | ~ (sdtlseqdt0(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2)) % 50.01/18.68 | (27) ! [v0] : (v0 = sz10 | v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ? [v1] : (isPrime0(v1) = 0 & doDivides0(v1, v0) = 0 & aNaturalNumber0(v1) = 0)) % 50.01/18.68 | (28) isPrime0(xr) = 0 % 50.01/18.68 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v3) = v1) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v4 = 0) & aNaturalNumber0(v3) = v4) | (doDivides0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0))))) % 50.01/18.68 | (30) ~ (xk = sz00) % 50.01/18.68 | (31) ! [v0] : ! [v1] : (v1 = sz00 | v0 = sz00 | ~ (sdtasdt0(v0, v1) = sz00) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 50.01/18.68 | (32) doDivides0(xr, xn) = 0 % 50.01/18.68 | (33) sdtlseqdt0(xr, xk) = 0 % 50.01/18.68 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~ (doDivides0(v3, v2) = v0)) % 50.01/18.68 | (35) sdtpldt0(all_0_5_5, xm) = all_0_3_3 % 50.01/18.68 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) % 50.01/18.68 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (doDivides0(v0, v3) = 0) | ~ (sdtpldt0(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (doDivides0(v0, v2) = v8 & doDivides0(v0, v1) = v7 & aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v8 = 0))) % 50.01/18.68 | (38) ~ (all_0_5_5 = xn) % 50.01/18.68 | (39) aNaturalNumber0(xn) = 0 % 50.01/18.68 | (40) doDivides0(xp, all_0_9_9) = 0 % 50.01/18.68 | (41) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (iLess0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(v0, v1) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0)))) % 50.01/18.68 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0)) % 50.01/18.68 | (43) doDivides0(xp, xm) = all_0_0_0 % 50.01/18.68 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v1, v2) = v8 & sdtasdt0(v0, v8) = v9 & aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = v4))) % 50.01/18.68 | (45) sdtsldt0(xn, xr) = all_0_5_5 % 50.01/18.68 | (46) ~ (xp = xm) % 50.01/18.68 | (47) aNaturalNumber0(xm) = 0 % 50.01/18.68 | (48) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtpldt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2))) % 50.01/18.68 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (sdtlseqdt0(v3, v4) = v5) | ~ (sdtlseqdt0(v0, v1) = 0) | ~ (sdtpldt0(v1, v2) = v4) | ~ (sdtpldt0(v0, v2) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((sdtlseqdt0(v7, v8) = v9 & sdtpldt0(v2, v1) = v8 & sdtpldt0(v2, v0) = v7 & aNaturalNumber0(v2) = v6 & ( ~ (v6 = 0) | (v9 = 0 & v5 = 0 & ~ (v8 = v7) & ~ (v4 = v3)))) | (aNaturalNumber0(v1) = v7 & aNaturalNumber0(v0) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))) % 50.01/18.68 | (50) ! [v0] : ! [v1] : (v1 = v0 | v1 = sz10 | ~ (isPrime0(v0) = 0) | ~ (doDivides0(v1, v0) = 0) | ? [v2] : (( ~ (v2 = 0) & aNaturalNumber0(v1) = v2) | ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2))) % 50.01/18.68 | (51) sdtlseqdt0(xn, xp) = 0 % 50.01/18.68 | (52) ! [v0] : ! [v1] : (v1 = sz00 | ~ (sdtpldt0(v0, v1) = sz00) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 50.01/18.68 | (53) ~ (xp = xn) % 50.01/18.68 | (54) sdtpldt0(all_0_11_11, xp) = all_0_10_10 % 50.01/18.68 | (55) sdtlseqdt0(all_0_2_2, all_0_10_10) = 0 % 50.01/18.68 | (56) ~ (isPrime0(sz10) = 0) % 50.01/18.68 | (57) aNaturalNumber0(sz10) = 0 % 50.01/18.68 | (58) ~ (sz10 = sz00) % 50.01/18.68 | (59) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v0 = sz00 | ~ (sdtsldt0(v4, v0) = v5) | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v3, v1) = v4) | ? [v6] : ? [v7] : ? [v8] : ((doDivides0(v0, v1) = v8 & aNaturalNumber0(v1) = v7 & aNaturalNumber0(v0) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0))) | (sdtasdt0(v3, v2) = v7 & aNaturalNumber0(v3) = v6 & ( ~ (v6 = 0) | v7 = v5)))) % 50.01/18.69 | (60) sdtpldt0(xn, xm) = all_0_11_11 % 50.01/18.69 | (61) isPrime0(xp) = 0 % 50.01/18.69 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))) % 50.01/18.69 | (63) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0)) % 50.01/18.69 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtpldt0(v1, v2) = v8 & sdtpldt0(v0, v8) = v9 & aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = v4))) % 50.01/18.69 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0)) % 50.01/18.69 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (sdtpldt0(v0, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtpldt0(v2, v0) = v9 & sdtpldt0(v1, v0) = v8 & aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ( ~ (v9 = v8) & ~ (v4 = v3))))) % 50.01/18.69 | (67) sdtlseqdt0(all_0_5_5, xn) = 0 % 50.01/18.69 | (68) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (sdtlseqdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v5 = 0 & ~ (v1 = v0))))) % 50.01/18.69 | (69) ! [v0] : ! [v1] : (v0 = sz00 | ~ (sdtpldt0(v0, v1) = sz00) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 50.01/18.69 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (doDivides0(v0, v2) = v3) | ~ (doDivides0(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (doDivides0(v1, v2) = v7 & aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))) % 50.01/18.69 | (71) sdtasdt0(all_0_5_5, xm) = all_0_4_4 % 50.01/18.69 | (72) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = v1 | v0 = sz00 | ~ (sdtlseqdt0(v3, v4) = v5) | ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (sdtlseqdt0(v10, v11) = v12 & sdtlseqdt0(v1, v2) = v9 & sdtasdt0(v2, v0) = v11 & sdtasdt0(v1, v0) = v10 & aNaturalNumber0(v2) = v8 & aNaturalNumber0(v1) = v7 & aNaturalNumber0(v0) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | (v12 = 0 & v5 = 0 & ~ (v11 = v10) & ~ (v4 = v3))))) % 50.01/18.69 | (73) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) % 50.01/18.69 | (74) ~ (all_0_0_0 = 0) % 50.01/18.69 | (75) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (sdtlseqdt0(v0, v1) = v2) | ~ (sdtpldt0(v0, v3) = v1) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & aNaturalNumber0(v3) = v4) | (aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) % 50.01/18.69 | (76) doDivides0(xr, xm) = all_0_6_6 % 50.01/18.69 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (doDivides0(v0, v1) = v2) | ~ (sdtasdt0(v0, v3) = v1) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & aNaturalNumber0(v3) = v4) | (aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) % 50.01/18.69 | (78) sdtpldt0(all_0_3_3, xp) = all_0_2_2 % 50.01/18.69 | (79) ! [v0] : ! [v1] : ( ~ (doDivides0(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v1 & v3 = 0 & sdtasdt0(v0, v2) = v1 & aNaturalNumber0(v2) = 0) | (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))) % 50.01/18.69 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtmndt0(v3, v2) = v1) | ~ (sdtmndt0(v3, v2) = v0)) % 50.01/18.69 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (doDivides0(v2, v3) = 0) | ~ (sdtasdt0(v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (isPrime0(v2) = v7 & doDivides0(v2, v1) = v12 & doDivides0(v2, v0) = v11 & iLess0(v9, all_0_10_10) = v10 & sdtpldt0(v8, v2) = v9 & sdtpldt0(v0, v1) = v8 & aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v10 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v12 = 0 | v11 = 0))) % 50.01/18.69 | (82) sdtlseqdt0(xk, xp) = 0 % 50.01/18.69 | (83) ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtlseqdt0(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : (sdtlseqdt0(v1, v0) = v4 & aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0)))) % 50.01/18.69 | (84) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (isPrime0(v2) = v1) | ~ (isPrime0(v2) = v0)) % 50.01/18.69 | (85) ~ (xk = xp) % 50.01/18.69 | (86) sdtasdt0(xn, xm) = all_0_9_9 % 50.01/18.69 | (87) ~ (isPrime0(sz00) = 0) % 50.01/18.70 | (88) ! [v0] : ! [v1] : (v1 = 0 | v0 = sz10 | v0 = sz00 | ~ (sdtlseqdt0(sz10, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2)) % 50.01/18.70 | (89) doDivides0(xr, all_0_9_9) = 0 % 50.01/18.70 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ((v4 = 0 & aNaturalNumber0(v2) = 0) | (sdtlseqdt0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0))))) % 50.01/18.70 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (doDivides0(v0, v3) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (doDivides0(v0, v2) = v9 & doDivides0(v0, v1) = v8 & aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) = v5 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0)))) % 50.01/18.70 | (92) aNaturalNumber0(xr) = 0 % 50.01/18.70 | (93) ! [v0] : ! [v1] : (v1 = 0 | v0 = sz10 | v0 = sz00 | ~ (isPrime0(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ((v4 = 0 & v3 = 0 & ~ (v2 = v0) & ~ (v2 = sz10) & doDivides0(v2, v0) = 0 & aNaturalNumber0(v2) = 0) | ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2))) % 50.01/18.70 | (94) ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) | ? [v2] : ? [v3] : (sdtasdt0(v0, sz10) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = v0 & v1 = v0)))) % 50.01/18.70 | (95) sdtlseqdt0(xm, xp) = 0 % 50.01/18.70 | (96) ~ (all_0_2_2 = all_0_10_10) % 50.01/18.70 | (97) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (aNaturalNumber0(v0) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (sdtasdt0(v2, v0) = v8 & sdtasdt0(v1, v0) = v7 & aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | ( ~ (v8 = v7) & ~ (v4 = v3))))) % 50.39/18.70 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v3) = v1) | ? [v4] : ? [v5] : ? [v6] : (( ~ (v4 = 0) & aNaturalNumber0(v3) = v4) | (sdtlseqdt0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0))))) % 50.39/18.70 | (99) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v0 = sz00 | ~ (sdtlseqdt0(v1, v2) = v3) | ~ (sdtasdt0(v1, v0) = v2) | ? [v4] : ? [v5] : (aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))) % 50.39/18.70 | % 50.39/18.70 | Using (28) and (56) yields: % 50.39/18.70 | (100) ~ (xr = sz10) % 50.39/18.70 | % 50.39/18.70 | Using (61) and (56) yields: % 50.39/18.70 | (101) ~ (xp = sz10) % 50.39/18.70 | % 50.39/18.70 | Using (28) and (87) yields: % 50.39/18.70 | (102) ~ (xr = sz00) % 50.39/18.70 | % 50.39/18.70 | Using (61) and (87) yields: % 50.39/18.70 | (103) ~ (xp = sz00) % 50.39/18.70 | % 50.39/18.70 | Instantiating formula (79) with all_0_9_9, xr and discharging atoms doDivides0(xr, all_0_9_9) = 0, yields: % 50.39/18.70 | (104) ? [v0] : ? [v1] : ? [v2] : ((v2 = all_0_9_9 & v1 = 0 & sdtasdt0(xr, v0) = all_0_9_9 & aNaturalNumber0(v0) = 0) | (aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))) % 50.39/18.70 | % 50.39/18.70 | Instantiating formula (79) with xn, xr and discharging atoms doDivides0(xr, xn) = 0, yields: % 50.39/18.70 | (105) ? [v0] : ? [v1] : ? [v2] : ((v2 = xn & v1 = 0 & sdtasdt0(xr, v0) = xn & aNaturalNumber0(v0) = 0) | (aNaturalNumber0(xr) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))) % 50.39/18.70 | % 50.39/18.70 | Instantiating formula (70) with all_0_1_1, all_0_5_5, all_0_9_9, xp and discharging atoms doDivides0(xp, all_0_5_5) = all_0_1_1, doDivides0(xp, all_0_9_9) = 0, yields: % 50.39/18.70 | (106) all_0_1_1 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (doDivides0(all_0_9_9, all_0_5_5) = v3 & aNaturalNumber0(all_0_5_5) = v2 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 50.39/18.70 | % 50.39/18.70 | Instantiating formula (70) with all_0_1_1, all_0_5_5, all_0_4_4, xp and discharging atoms doDivides0(xp, all_0_4_4) = 0, doDivides0(xp, all_0_5_5) = all_0_1_1, yields: % 50.39/18.70 | (107) all_0_1_1 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (doDivides0(all_0_4_4, all_0_5_5) = v3 & aNaturalNumber0(all_0_4_4) = v1 & aNaturalNumber0(all_0_5_5) = v2 & aNaturalNumber0(xp) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 50.39/18.70 | % 50.39/18.70 | Instantiating formula (79) with all_0_9_9, xp and discharging atoms doDivides0(xp, all_0_9_9) = 0, yields: % 50.39/18.71 | (108) ? [v0] : ? [v1] : ? [v2] : ((v2 = all_0_9_9 & v1 = 0 & sdtasdt0(xp, v0) = all_0_9_9 & aNaturalNumber0(v0) = 0) | (aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))) % 50.39/18.71 | % 50.39/18.71 | Instantiating formula (70) with all_0_0_0, xm, all_0_9_9, xp and discharging atoms doDivides0(xp, all_0_9_9) = 0, doDivides0(xp, xm) = all_0_0_0, yields: % 50.39/18.71 | (109) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (doDivides0(all_0_9_9, xm) = v3 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 50.39/18.71 | % 50.39/18.71 | Instantiating formula (70) with all_0_0_0, xm, all_0_4_4, xp and discharging atoms doDivides0(xp, all_0_4_4) = 0, doDivides0(xp, xm) = all_0_0_0, yields: % 50.39/18.71 | (110) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (doDivides0(all_0_4_4, xm) = v3 & aNaturalNumber0(all_0_4_4) = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 50.39/18.71 | % 50.39/18.71 | Instantiating formula (83) with all_0_10_10, all_0_2_2 and discharging atoms sdtlseqdt0(all_0_2_2, all_0_10_10) = 0, yields: % 50.39/18.71 | (111) all_0_2_2 = all_0_10_10 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_0_10_10, all_0_2_2) = v2 & aNaturalNumber0(all_0_2_2) = v0 & aNaturalNumber0(all_0_10_10) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 50.39/18.71 | % 50.39/18.71 | Instantiating formula (83) with xn, all_0_5_5 and discharging atoms sdtlseqdt0(all_0_5_5, xn) = 0, yields: % 50.39/18.71 | (112) all_0_5_5 = xn | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xn, all_0_5_5) = v2 & aNaturalNumber0(all_0_5_5) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 50.39/18.71 | % 50.39/18.71 | Instantiating formula (83) with xp, xk and discharging atoms sdtlseqdt0(xk, xp) = 0, yields: % 50.39/18.71 | (113) xk = xp | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xp, xk) = v2 & aNaturalNumber0(xk) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 50.39/18.71 | % 50.39/18.71 | Instantiating formula (10) with xp, xm and discharging atoms sdtlseqdt0(xm, xp) = 0, yields: % 50.39/18.71 | (114) ? [v0] : ? [v1] : ? [v2] : ((v2 = xp & v1 = 0 & sdtpldt0(xm, v0) = xp & aNaturalNumber0(v0) = 0) | (aNaturalNumber0(xp) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))) % 50.39/18.71 | % 50.39/18.71 | Instantiating formula (10) with xp, xn and discharging atoms sdtlseqdt0(xn, xp) = 0, yields: % 50.39/18.71 | (115) ? [v0] : ? [v1] : ? [v2] : ((v2 = xp & v1 = 0 & sdtpldt0(xn, v0) = xp & aNaturalNumber0(v0) = 0) | (aNaturalNumber0(xp) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))) % 50.39/18.71 | % 50.39/18.71 | Instantiating formula (81) with all_0_4_4, xp, xm, all_0_5_5 and discharging atoms doDivides0(xp, all_0_4_4) = 0, sdtasdt0(all_0_5_5, xm) = all_0_4_4, yields: % 50.39/18.71 | (116) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(xp) = v3 & doDivides0(xp, all_0_5_5) = v7 & doDivides0(xp, xm) = v8 & iLess0(v5, all_0_10_10) = v6 & sdtpldt0(v4, xp) = v5 & sdtpldt0(all_0_5_5, xm) = v4 & aNaturalNumber0(all_0_5_5) = v0 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v1 & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0)) % 50.39/18.71 | % 50.39/18.71 | Instantiating formula (15) with all_0_4_4, xm, all_0_5_5 and discharging atoms sdtasdt0(all_0_5_5, xm) = all_0_4_4, yields: % 50.39/18.71 | (117) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(xm, all_0_5_5) = v2 & aNaturalNumber0(all_0_5_5) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_4_4)) % 50.39/18.71 | % 50.39/18.71 | Instantiating formula (8) with all_0_4_4, xm, all_0_5_5 and discharging atoms sdtasdt0(all_0_5_5, xm) = all_0_4_4, yields: % 50.39/18.71 | (118) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_4_4) = v2 & aNaturalNumber0(all_0_5_5) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 50.39/18.71 | % 50.39/18.71 | Instantiating formula (81) with all_0_9_9, xr, xm, xn and discharging atoms doDivides0(xr, all_0_9_9) = 0, sdtasdt0(xn, xm) = all_0_9_9, yields: % 50.39/18.71 | (119) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(xr) = v3 & doDivides0(xr, xm) = v8 & doDivides0(xr, xn) = v7 & iLess0(v5, all_0_10_10) = v6 & sdtpldt0(v4, xr) = v5 & sdtpldt0(xn, xm) = v4 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0)) % 50.39/18.71 | % 50.39/18.71 | Instantiating formula (81) with all_0_9_9, xp, xm, xn and discharging atoms doDivides0(xp, all_0_9_9) = 0, sdtasdt0(xn, xm) = all_0_9_9, yields: % 50.39/18.71 | (120) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(xp) = v3 & doDivides0(xp, xm) = v8 & doDivides0(xp, xn) = v7 & iLess0(v5, all_0_10_10) = v6 & sdtpldt0(v4, xp) = v5 & sdtpldt0(xn, xm) = v4 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0)) % 50.39/18.71 | % 50.39/18.71 | Instantiating formula (15) with all_0_9_9, xm, xn and discharging atoms sdtasdt0(xn, xm) = all_0_9_9, yields: % 50.39/18.71 | (121) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(xm, xn) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_9_9)) % 50.39/18.71 | % 50.39/18.71 | Instantiating formula (8) with all_0_9_9, xm, xn and discharging atoms sdtasdt0(xn, xm) = all_0_9_9, yields: % 50.39/18.71 | (122) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_9_9) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 50.39/18.71 | % 50.39/18.71 | Instantiating formula (48) with all_0_2_2, xp, all_0_3_3 and discharging atoms sdtpldt0(all_0_3_3, xp) = all_0_2_2, yields: % 50.39/18.71 | (123) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(xp, all_0_3_3) = v2 & aNaturalNumber0(all_0_3_3) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_2_2)) % 50.39/18.71 | % 50.39/18.71 | Instantiating formula (24) with all_0_2_2, xp, all_0_3_3 and discharging atoms sdtpldt0(all_0_3_3, xp) = all_0_2_2, yields: % 50.39/18.71 | (124) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_2_2) = v2 & aNaturalNumber0(all_0_3_3) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 50.39/18.71 | % 50.39/18.71 | Instantiating formula (64) with all_0_2_2, all_0_3_3, xp, xm, all_0_5_5 and discharging atoms sdtpldt0(all_0_3_3, xp) = all_0_2_2, sdtpldt0(all_0_5_5, xm) = all_0_3_3, yields: % 50.39/18.71 | (125) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_5_5, v3) = v4 & sdtpldt0(xm, xp) = v3 & aNaturalNumber0(all_0_5_5) = v0 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_2_2)) % 50.39/18.71 | % 50.39/18.71 | Instantiating formula (48) with all_0_3_3, xm, all_0_5_5 and discharging atoms sdtpldt0(all_0_5_5, xm) = all_0_3_3, yields: % 50.39/18.71 | (126) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(xm, all_0_5_5) = v2 & aNaturalNumber0(all_0_5_5) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_3_3)) % 50.39/18.71 | % 50.39/18.71 | Instantiating formula (24) with all_0_3_3, xm, all_0_5_5 and discharging atoms sdtpldt0(all_0_5_5, xm) = all_0_3_3, yields: % 50.39/18.72 | (127) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_3_3) = v2 & aNaturalNumber0(all_0_5_5) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 50.39/18.72 | % 50.39/18.72 | Instantiating formula (48) with all_0_10_10, xp, all_0_11_11 and discharging atoms sdtpldt0(all_0_11_11, xp) = all_0_10_10, yields: % 50.39/18.72 | (128) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(xp, all_0_11_11) = v2 & aNaturalNumber0(all_0_11_11) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_10_10)) % 50.39/18.72 | % 50.39/18.72 | Instantiating formula (24) with all_0_10_10, xp, all_0_11_11 and discharging atoms sdtpldt0(all_0_11_11, xp) = all_0_10_10, yields: % 50.39/18.72 | (129) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_10_10) = v2 & aNaturalNumber0(all_0_11_11) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 50.39/18.72 | % 50.39/18.72 | Instantiating formula (64) with all_0_10_10, all_0_11_11, xp, xm, xn and discharging atoms sdtpldt0(all_0_11_11, xp) = all_0_10_10, sdtpldt0(xn, xm) = all_0_11_11, yields: % 50.39/18.72 | (130) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(xm, xp) = v3 & sdtpldt0(xn, v3) = v4 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_10_10)) % 50.39/18.72 | % 50.39/18.72 | Instantiating formula (48) with all_0_11_11, xm, xn and discharging atoms sdtpldt0(xn, xm) = all_0_11_11, yields: % 50.39/18.72 | (131) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(xm, xn) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_11_11)) % 50.39/18.72 | % 50.39/18.72 | Instantiating formula (24) with all_0_11_11, xm, xn and discharging atoms sdtpldt0(xn, xm) = all_0_11_11, yields: % 50.39/18.72 | (132) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_11_11) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 50.39/18.72 | % 50.39/18.72 | Instantiating formula (27) with xr and discharging atoms aNaturalNumber0(xr) = 0, yields: % 50.39/18.72 | (133) xr = sz10 | xr = sz00 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xr) = 0 & aNaturalNumber0(v0) = 0) % 50.39/18.72 | % 50.39/18.72 | Instantiating formula (27) with xp and discharging atoms aNaturalNumber0(xp) = 0, yields: % 50.39/18.72 | (134) xp = sz10 | xp = sz00 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0) % 50.39/18.72 | % 50.39/18.72 | Instantiating (132) with all_12_0_12, all_12_1_13, all_12_2_14 yields: % 50.39/18.72 | (135) aNaturalNumber0(all_0_11_11) = all_12_0_12 & aNaturalNumber0(xm) = all_12_1_13 & aNaturalNumber0(xn) = all_12_2_14 & ( ~ (all_12_1_13 = 0) | ~ (all_12_2_14 = 0) | all_12_0_12 = 0) % 50.39/18.72 | % 50.39/18.72 | Applying alpha-rule on (135) yields: % 50.39/18.72 | (136) aNaturalNumber0(all_0_11_11) = all_12_0_12 % 50.39/18.72 | (137) aNaturalNumber0(xm) = all_12_1_13 % 50.39/18.72 | (138) aNaturalNumber0(xn) = all_12_2_14 % 50.39/18.72 | (139) ~ (all_12_1_13 = 0) | ~ (all_12_2_14 = 0) | all_12_0_12 = 0 % 50.39/18.72 | % 50.39/18.72 | Instantiating (131) with all_14_0_15, all_14_1_16, all_14_2_17 yields: % 50.39/18.72 | (140) sdtpldt0(xm, xn) = all_14_0_15 & aNaturalNumber0(xm) = all_14_1_16 & aNaturalNumber0(xn) = all_14_2_17 & ( ~ (all_14_1_16 = 0) | ~ (all_14_2_17 = 0) | all_14_0_15 = all_0_11_11) % 50.39/18.72 | % 50.39/18.72 | Applying alpha-rule on (140) yields: % 50.39/18.72 | (141) sdtpldt0(xm, xn) = all_14_0_15 % 50.39/18.72 | (142) aNaturalNumber0(xm) = all_14_1_16 % 50.39/18.72 | (143) aNaturalNumber0(xn) = all_14_2_17 % 50.39/18.72 | (144) ~ (all_14_1_16 = 0) | ~ (all_14_2_17 = 0) | all_14_0_15 = all_0_11_11 % 50.39/18.72 | % 50.39/18.72 | Instantiating (128) with all_16_0_18, all_16_1_19, all_16_2_20 yields: % 50.39/18.72 | (145) sdtpldt0(xp, all_0_11_11) = all_16_0_18 & aNaturalNumber0(all_0_11_11) = all_16_2_20 & aNaturalNumber0(xp) = all_16_1_19 & ( ~ (all_16_1_19 = 0) | ~ (all_16_2_20 = 0) | all_16_0_18 = all_0_10_10) % 50.39/18.72 | % 50.39/18.72 | Applying alpha-rule on (145) yields: % 50.39/18.72 | (146) sdtpldt0(xp, all_0_11_11) = all_16_0_18 % 50.39/18.72 | (147) aNaturalNumber0(all_0_11_11) = all_16_2_20 % 50.39/18.72 | (148) aNaturalNumber0(xp) = all_16_1_19 % 50.39/18.72 | (149) ~ (all_16_1_19 = 0) | ~ (all_16_2_20 = 0) | all_16_0_18 = all_0_10_10 % 50.39/18.72 | % 50.39/18.72 | Instantiating (124) with all_18_0_21, all_18_1_22, all_18_2_23 yields: % 50.39/18.72 | (150) aNaturalNumber0(all_0_2_2) = all_18_0_21 & aNaturalNumber0(all_0_3_3) = all_18_2_23 & aNaturalNumber0(xp) = all_18_1_22 & ( ~ (all_18_1_22 = 0) | ~ (all_18_2_23 = 0) | all_18_0_21 = 0) % 50.39/18.72 | % 50.39/18.72 | Applying alpha-rule on (150) yields: % 50.39/18.72 | (151) aNaturalNumber0(all_0_2_2) = all_18_0_21 % 50.39/18.72 | (152) aNaturalNumber0(all_0_3_3) = all_18_2_23 % 50.39/18.72 | (153) aNaturalNumber0(xp) = all_18_1_22 % 50.39/18.72 | (154) ~ (all_18_1_22 = 0) | ~ (all_18_2_23 = 0) | all_18_0_21 = 0 % 50.39/18.72 | % 50.39/18.72 | Instantiating (127) with all_20_0_24, all_20_1_25, all_20_2_26 yields: % 50.39/18.72 | (155) aNaturalNumber0(all_0_3_3) = all_20_0_24 & aNaturalNumber0(all_0_5_5) = all_20_2_26 & aNaturalNumber0(xm) = all_20_1_25 & ( ~ (all_20_1_25 = 0) | ~ (all_20_2_26 = 0) | all_20_0_24 = 0) % 50.39/18.72 | % 50.39/18.72 | Applying alpha-rule on (155) yields: % 50.39/18.72 | (156) aNaturalNumber0(all_0_3_3) = all_20_0_24 % 50.39/18.72 | (157) aNaturalNumber0(all_0_5_5) = all_20_2_26 % 50.39/18.72 | (158) aNaturalNumber0(xm) = all_20_1_25 % 50.39/18.72 | (159) ~ (all_20_1_25 = 0) | ~ (all_20_2_26 = 0) | all_20_0_24 = 0 % 50.39/18.72 | % 50.39/18.72 | Instantiating (125) with all_22_0_27, all_22_1_28, all_22_2_29, all_22_3_30, all_22_4_31 yields: % 50.39/18.72 | (160) sdtpldt0(all_0_5_5, all_22_1_28) = all_22_0_27 & sdtpldt0(xm, xp) = all_22_1_28 & aNaturalNumber0(all_0_5_5) = all_22_4_31 & aNaturalNumber0(xp) = all_22_2_29 & aNaturalNumber0(xm) = all_22_3_30 & ( ~ (all_22_2_29 = 0) | ~ (all_22_3_30 = 0) | ~ (all_22_4_31 = 0) | all_22_0_27 = all_0_2_2) % 50.39/18.72 | % 50.39/18.72 | Applying alpha-rule on (160) yields: % 50.39/18.72 | (161) aNaturalNumber0(xp) = all_22_2_29 % 50.39/18.72 | (162) sdtpldt0(xm, xp) = all_22_1_28 % 50.39/18.72 | (163) ~ (all_22_2_29 = 0) | ~ (all_22_3_30 = 0) | ~ (all_22_4_31 = 0) | all_22_0_27 = all_0_2_2 % 50.39/18.72 | (164) aNaturalNumber0(all_0_5_5) = all_22_4_31 % 50.39/18.72 | (165) aNaturalNumber0(xm) = all_22_3_30 % 50.39/18.72 | (166) sdtpldt0(all_0_5_5, all_22_1_28) = all_22_0_27 % 50.39/18.72 | % 50.39/18.72 | Instantiating (117) with all_24_0_32, all_24_1_33, all_24_2_34 yields: % 50.39/18.72 | (167) sdtasdt0(xm, all_0_5_5) = all_24_0_32 & aNaturalNumber0(all_0_5_5) = all_24_2_34 & aNaturalNumber0(xm) = all_24_1_33 & ( ~ (all_24_1_33 = 0) | ~ (all_24_2_34 = 0) | all_24_0_32 = all_0_4_4) % 50.39/18.72 | % 50.39/18.72 | Applying alpha-rule on (167) yields: % 50.39/18.72 | (168) sdtasdt0(xm, all_0_5_5) = all_24_0_32 % 50.39/18.72 | (169) aNaturalNumber0(all_0_5_5) = all_24_2_34 % 50.39/18.72 | (170) aNaturalNumber0(xm) = all_24_1_33 % 50.39/18.72 | (171) ~ (all_24_1_33 = 0) | ~ (all_24_2_34 = 0) | all_24_0_32 = all_0_4_4 % 50.39/18.72 | % 50.39/18.72 | Instantiating (116) with all_26_0_35, all_26_1_36, all_26_2_37, all_26_3_38, all_26_4_39, all_26_5_40, all_26_6_41, all_26_7_42, all_26_8_43 yields: % 50.39/18.72 | (172) isPrime0(xp) = all_26_5_40 & doDivides0(xp, all_0_5_5) = all_26_1_36 & doDivides0(xp, xm) = all_26_0_35 & iLess0(all_26_3_38, all_0_10_10) = all_26_2_37 & sdtpldt0(all_26_4_39, xp) = all_26_3_38 & sdtpldt0(all_0_5_5, xm) = all_26_4_39 & aNaturalNumber0(all_0_5_5) = all_26_8_43 & aNaturalNumber0(xp) = all_26_6_41 & aNaturalNumber0(xm) = all_26_7_42 & ( ~ (all_26_2_37 = 0) | ~ (all_26_5_40 = 0) | ~ (all_26_6_41 = 0) | ~ (all_26_7_42 = 0) | ~ (all_26_8_43 = 0) | all_26_0_35 = 0 | all_26_1_36 = 0) % 50.39/18.72 | % 50.39/18.72 | Applying alpha-rule on (172) yields: % 50.39/18.72 | (173) ~ (all_26_2_37 = 0) | ~ (all_26_5_40 = 0) | ~ (all_26_6_41 = 0) | ~ (all_26_7_42 = 0) | ~ (all_26_8_43 = 0) | all_26_0_35 = 0 | all_26_1_36 = 0 % 50.39/18.72 | (174) aNaturalNumber0(xp) = all_26_6_41 % 50.39/18.72 | (175) sdtpldt0(all_26_4_39, xp) = all_26_3_38 % 50.39/18.73 | (176) aNaturalNumber0(all_0_5_5) = all_26_8_43 % 50.39/18.73 | (177) doDivides0(xp, xm) = all_26_0_35 % 50.39/18.73 | (178) isPrime0(xp) = all_26_5_40 % 50.39/18.73 | (179) aNaturalNumber0(xm) = all_26_7_42 % 50.39/18.73 | (180) doDivides0(xp, all_0_5_5) = all_26_1_36 % 50.39/18.73 | (181) sdtpldt0(all_0_5_5, xm) = all_26_4_39 % 50.39/18.73 | (182) iLess0(all_26_3_38, all_0_10_10) = all_26_2_37 % 50.39/18.73 | % 50.39/18.73 | Instantiating (126) with all_28_0_44, all_28_1_45, all_28_2_46 yields: % 50.39/18.73 | (183) sdtpldt0(xm, all_0_5_5) = all_28_0_44 & aNaturalNumber0(all_0_5_5) = all_28_2_46 & aNaturalNumber0(xm) = all_28_1_45 & ( ~ (all_28_1_45 = 0) | ~ (all_28_2_46 = 0) | all_28_0_44 = all_0_3_3) % 50.39/18.73 | % 50.39/18.73 | Applying alpha-rule on (183) yields: % 50.39/18.73 | (184) sdtpldt0(xm, all_0_5_5) = all_28_0_44 % 50.39/18.73 | (185) aNaturalNumber0(all_0_5_5) = all_28_2_46 % 50.39/18.73 | (186) aNaturalNumber0(xm) = all_28_1_45 % 50.39/18.73 | (187) ~ (all_28_1_45 = 0) | ~ (all_28_2_46 = 0) | all_28_0_44 = all_0_3_3 % 50.39/18.73 | % 50.39/18.73 | Instantiating (123) with all_30_0_47, all_30_1_48, all_30_2_49 yields: % 50.39/18.73 | (188) sdtpldt0(xp, all_0_3_3) = all_30_0_47 & aNaturalNumber0(all_0_3_3) = all_30_2_49 & aNaturalNumber0(xp) = all_30_1_48 & ( ~ (all_30_1_48 = 0) | ~ (all_30_2_49 = 0) | all_30_0_47 = all_0_2_2) % 50.39/18.73 | % 50.39/18.73 | Applying alpha-rule on (188) yields: % 50.39/18.73 | (189) sdtpldt0(xp, all_0_3_3) = all_30_0_47 % 50.39/18.73 | (190) aNaturalNumber0(all_0_3_3) = all_30_2_49 % 50.39/18.73 | (191) aNaturalNumber0(xp) = all_30_1_48 % 50.39/18.73 | (192) ~ (all_30_1_48 = 0) | ~ (all_30_2_49 = 0) | all_30_0_47 = all_0_2_2 % 50.39/18.73 | % 50.39/18.73 | Instantiating (130) with all_32_0_50, all_32_1_51, all_32_2_52, all_32_3_53, all_32_4_54 yields: % 50.39/18.73 | (193) sdtpldt0(xm, xp) = all_32_1_51 & sdtpldt0(xn, all_32_1_51) = all_32_0_50 & aNaturalNumber0(xp) = all_32_2_52 & aNaturalNumber0(xm) = all_32_3_53 & aNaturalNumber0(xn) = all_32_4_54 & ( ~ (all_32_2_52 = 0) | ~ (all_32_3_53 = 0) | ~ (all_32_4_54 = 0) | all_32_0_50 = all_0_10_10) % 50.39/18.73 | % 50.39/18.73 | Applying alpha-rule on (193) yields: % 50.39/18.73 | (194) ~ (all_32_2_52 = 0) | ~ (all_32_3_53 = 0) | ~ (all_32_4_54 = 0) | all_32_0_50 = all_0_10_10 % 50.39/18.73 | (195) aNaturalNumber0(xp) = all_32_2_52 % 50.39/18.73 | (196) aNaturalNumber0(xm) = all_32_3_53 % 50.39/18.73 | (197) aNaturalNumber0(xn) = all_32_4_54 % 50.39/18.73 | (198) sdtpldt0(xm, xp) = all_32_1_51 % 50.39/18.73 | (199) sdtpldt0(xn, all_32_1_51) = all_32_0_50 % 50.39/18.73 | % 50.39/18.73 | Instantiating (129) with all_34_0_55, all_34_1_56, all_34_2_57 yields: % 50.39/18.73 | (200) aNaturalNumber0(all_0_10_10) = all_34_0_55 & aNaturalNumber0(all_0_11_11) = all_34_2_57 & aNaturalNumber0(xp) = all_34_1_56 & ( ~ (all_34_1_56 = 0) | ~ (all_34_2_57 = 0) | all_34_0_55 = 0) % 50.39/18.73 | % 50.39/18.73 | Applying alpha-rule on (200) yields: % 50.39/18.73 | (201) aNaturalNumber0(all_0_10_10) = all_34_0_55 % 50.39/18.73 | (202) aNaturalNumber0(all_0_11_11) = all_34_2_57 % 50.39/18.73 | (203) aNaturalNumber0(xp) = all_34_1_56 % 50.39/18.73 | (204) ~ (all_34_1_56 = 0) | ~ (all_34_2_57 = 0) | all_34_0_55 = 0 % 50.39/18.73 | % 50.39/18.73 | Instantiating (122) with all_36_0_58, all_36_1_59, all_36_2_60 yields: % 50.39/18.73 | (205) aNaturalNumber0(all_0_9_9) = all_36_0_58 & aNaturalNumber0(xm) = all_36_1_59 & aNaturalNumber0(xn) = all_36_2_60 & ( ~ (all_36_1_59 = 0) | ~ (all_36_2_60 = 0) | all_36_0_58 = 0) % 50.39/18.73 | % 50.39/18.73 | Applying alpha-rule on (205) yields: % 50.39/18.73 | (206) aNaturalNumber0(all_0_9_9) = all_36_0_58 % 50.39/18.73 | (207) aNaturalNumber0(xm) = all_36_1_59 % 50.39/18.73 | (208) aNaturalNumber0(xn) = all_36_2_60 % 50.39/18.73 | (209) ~ (all_36_1_59 = 0) | ~ (all_36_2_60 = 0) | all_36_0_58 = 0 % 50.39/18.73 | % 50.39/18.73 | Instantiating (121) with all_38_0_61, all_38_1_62, all_38_2_63 yields: % 50.39/18.73 | (210) sdtasdt0(xm, xn) = all_38_0_61 & aNaturalNumber0(xm) = all_38_1_62 & aNaturalNumber0(xn) = all_38_2_63 & ( ~ (all_38_1_62 = 0) | ~ (all_38_2_63 = 0) | all_38_0_61 = all_0_9_9) % 50.39/18.73 | % 50.39/18.73 | Applying alpha-rule on (210) yields: % 50.39/18.73 | (211) sdtasdt0(xm, xn) = all_38_0_61 % 50.39/18.73 | (212) aNaturalNumber0(xm) = all_38_1_62 % 50.39/18.73 | (213) aNaturalNumber0(xn) = all_38_2_63 % 50.39/18.73 | (214) ~ (all_38_1_62 = 0) | ~ (all_38_2_63 = 0) | all_38_0_61 = all_0_9_9 % 50.39/18.73 | % 50.39/18.73 | Instantiating (120) with all_40_0_64, all_40_1_65, all_40_2_66, all_40_3_67, all_40_4_68, all_40_5_69, all_40_6_70, all_40_7_71, all_40_8_72 yields: % 50.39/18.73 | (215) isPrime0(xp) = all_40_5_69 & doDivides0(xp, xm) = all_40_0_64 & doDivides0(xp, xn) = all_40_1_65 & iLess0(all_40_3_67, all_0_10_10) = all_40_2_66 & sdtpldt0(all_40_4_68, xp) = all_40_3_67 & sdtpldt0(xn, xm) = all_40_4_68 & aNaturalNumber0(xp) = all_40_6_70 & aNaturalNumber0(xm) = all_40_7_71 & aNaturalNumber0(xn) = all_40_8_72 & ( ~ (all_40_2_66 = 0) | ~ (all_40_5_69 = 0) | ~ (all_40_6_70 = 0) | ~ (all_40_7_71 = 0) | ~ (all_40_8_72 = 0) | all_40_0_64 = 0 | all_40_1_65 = 0) % 50.39/18.73 | % 50.39/18.73 | Applying alpha-rule on (215) yields: % 50.39/18.73 | (216) doDivides0(xp, xn) = all_40_1_65 % 50.39/18.73 | (217) ~ (all_40_2_66 = 0) | ~ (all_40_5_69 = 0) | ~ (all_40_6_70 = 0) | ~ (all_40_7_71 = 0) | ~ (all_40_8_72 = 0) | all_40_0_64 = 0 | all_40_1_65 = 0 % 50.39/18.73 | (218) sdtpldt0(all_40_4_68, xp) = all_40_3_67 % 50.39/18.73 | (219) aNaturalNumber0(xm) = all_40_7_71 % 50.39/18.73 | (220) sdtpldt0(xn, xm) = all_40_4_68 % 50.39/18.73 | (221) iLess0(all_40_3_67, all_0_10_10) = all_40_2_66 % 50.39/18.73 | (222) doDivides0(xp, xm) = all_40_0_64 % 50.39/18.73 | (223) aNaturalNumber0(xn) = all_40_8_72 % 50.39/18.73 | (224) aNaturalNumber0(xp) = all_40_6_70 % 50.39/18.73 | (225) isPrime0(xp) = all_40_5_69 % 50.39/18.73 | % 50.39/18.73 | Instantiating (119) with all_42_0_73, all_42_1_74, all_42_2_75, all_42_3_76, all_42_4_77, all_42_5_78, all_42_6_79, all_42_7_80, all_42_8_81 yields: % 50.39/18.73 | (226) isPrime0(xr) = all_42_5_78 & doDivides0(xr, xm) = all_42_0_73 & doDivides0(xr, xn) = all_42_1_74 & iLess0(all_42_3_76, all_0_10_10) = all_42_2_75 & sdtpldt0(all_42_4_77, xr) = all_42_3_76 & sdtpldt0(xn, xm) = all_42_4_77 & aNaturalNumber0(xr) = all_42_6_79 & aNaturalNumber0(xm) = all_42_7_80 & aNaturalNumber0(xn) = all_42_8_81 & ( ~ (all_42_2_75 = 0) | ~ (all_42_5_78 = 0) | ~ (all_42_6_79 = 0) | ~ (all_42_7_80 = 0) | ~ (all_42_8_81 = 0) | all_42_0_73 = 0 | all_42_1_74 = 0) % 50.39/18.73 | % 50.39/18.73 | Applying alpha-rule on (226) yields: % 50.39/18.73 | (227) sdtpldt0(all_42_4_77, xr) = all_42_3_76 % 50.39/18.73 | (228) doDivides0(xr, xm) = all_42_0_73 % 50.39/18.73 | (229) aNaturalNumber0(xn) = all_42_8_81 % 50.39/18.73 | (230) doDivides0(xr, xn) = all_42_1_74 % 50.39/18.73 | (231) isPrime0(xr) = all_42_5_78 % 50.39/18.73 | (232) ~ (all_42_2_75 = 0) | ~ (all_42_5_78 = 0) | ~ (all_42_6_79 = 0) | ~ (all_42_7_80 = 0) | ~ (all_42_8_81 = 0) | all_42_0_73 = 0 | all_42_1_74 = 0 % 50.39/18.73 | (233) iLess0(all_42_3_76, all_0_10_10) = all_42_2_75 % 50.39/18.73 | (234) sdtpldt0(xn, xm) = all_42_4_77 % 50.39/18.73 | (235) aNaturalNumber0(xm) = all_42_7_80 % 50.39/18.73 | (236) aNaturalNumber0(xr) = all_42_6_79 % 50.39/18.73 | % 50.39/18.73 | Instantiating (115) with all_46_0_88, all_46_1_89, all_46_2_90 yields: % 50.39/18.73 | (237) (all_46_0_88 = xp & all_46_1_89 = 0 & sdtpldt0(xn, all_46_2_90) = xp & aNaturalNumber0(all_46_2_90) = 0) | (aNaturalNumber0(xp) = all_46_1_89 & aNaturalNumber0(xn) = all_46_2_90 & ( ~ (all_46_1_89 = 0) | ~ (all_46_2_90 = 0))) % 50.39/18.73 | % 50.39/18.73 | Instantiating (114) with all_49_0_97, all_49_1_98, all_49_2_99 yields: % 50.39/18.73 | (238) (all_49_0_97 = xp & all_49_1_98 = 0 & sdtpldt0(xm, all_49_2_99) = xp & aNaturalNumber0(all_49_2_99) = 0) | (aNaturalNumber0(xp) = all_49_1_98 & aNaturalNumber0(xm) = all_49_2_99 & ( ~ (all_49_1_98 = 0) | ~ (all_49_2_99 = 0))) % 50.39/18.73 | % 50.39/18.73 | Instantiating (105) with all_51_0_103, all_51_1_104, all_51_2_105 yields: % 50.39/18.73 | (239) (all_51_0_103 = xn & all_51_1_104 = 0 & sdtasdt0(xr, all_51_2_105) = xn & aNaturalNumber0(all_51_2_105) = 0) | (aNaturalNumber0(xr) = all_51_2_105 & aNaturalNumber0(xn) = all_51_1_104 & ( ~ (all_51_1_104 = 0) | ~ (all_51_2_105 = 0))) % 50.39/18.73 | % 50.39/18.73 | Instantiating (104) with all_53_0_109, all_53_1_110, all_53_2_111 yields: % 50.39/18.73 | (240) (all_53_0_109 = all_0_9_9 & all_53_1_110 = 0 & sdtasdt0(xr, all_53_2_111) = all_0_9_9 & aNaturalNumber0(all_53_2_111) = 0) | (aNaturalNumber0(all_0_9_9) = all_53_1_110 & aNaturalNumber0(xr) = all_53_2_111 & ( ~ (all_53_1_110 = 0) | ~ (all_53_2_111 = 0))) % 50.39/18.73 | % 50.39/18.73 | Instantiating (108) with all_54_0_112, all_54_1_113, all_54_2_114 yields: % 50.39/18.73 | (241) (all_54_0_112 = all_0_9_9 & all_54_1_113 = 0 & sdtasdt0(xp, all_54_2_114) = all_0_9_9 & aNaturalNumber0(all_54_2_114) = 0) | (aNaturalNumber0(all_0_9_9) = all_54_1_113 & aNaturalNumber0(xp) = all_54_2_114 & ( ~ (all_54_1_113 = 0) | ~ (all_54_2_114 = 0))) % 50.39/18.73 | % 50.39/18.73 | Instantiating (118) with all_55_0_115, all_55_1_116, all_55_2_117 yields: % 50.39/18.73 | (242) aNaturalNumber0(all_0_4_4) = all_55_0_115 & aNaturalNumber0(all_0_5_5) = all_55_2_117 & aNaturalNumber0(xm) = all_55_1_116 & ( ~ (all_55_1_116 = 0) | ~ (all_55_2_117 = 0) | all_55_0_115 = 0) % 50.39/18.73 | % 50.39/18.73 | Applying alpha-rule on (242) yields: % 50.39/18.73 | (243) aNaturalNumber0(all_0_4_4) = all_55_0_115 % 50.39/18.73 | (244) aNaturalNumber0(all_0_5_5) = all_55_2_117 % 50.39/18.73 | (245) aNaturalNumber0(xm) = all_55_1_116 % 50.39/18.73 | (246) ~ (all_55_1_116 = 0) | ~ (all_55_2_117 = 0) | all_55_0_115 = 0 % 50.39/18.73 | % 50.39/18.73 +-Applying beta-rule and splitting (110), into two cases. % 50.39/18.73 |-Branch one: % 50.39/18.73 | (247) all_0_0_0 = 0 % 50.39/18.73 | % 50.39/18.74 | Equations (247) can reduce 74 to: % 50.39/18.74 | (248) $false % 50.39/18.74 | % 50.39/18.74 |-The branch is then unsatisfiable % 50.39/18.74 |-Branch two: % 50.39/18.74 | (74) ~ (all_0_0_0 = 0) % 50.39/18.74 | (250) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (doDivides0(all_0_4_4, xm) = v3 & aNaturalNumber0(all_0_4_4) = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 50.39/18.74 | % 50.39/18.74 | Instantiating (250) with all_61_0_118, all_61_1_119, all_61_2_120, all_61_3_121 yields: % 50.39/18.74 | (251) doDivides0(all_0_4_4, xm) = all_61_0_118 & aNaturalNumber0(all_0_4_4) = all_61_2_120 & aNaturalNumber0(xp) = all_61_3_121 & aNaturalNumber0(xm) = all_61_1_119 & ( ~ (all_61_0_118 = 0) | ~ (all_61_1_119 = 0) | ~ (all_61_2_120 = 0) | ~ (all_61_3_121 = 0)) % 50.39/18.74 | % 50.39/18.74 | Applying alpha-rule on (251) yields: % 50.39/18.74 | (252) aNaturalNumber0(all_0_4_4) = all_61_2_120 % 50.39/18.74 | (253) aNaturalNumber0(xm) = all_61_1_119 % 50.39/18.74 | (254) aNaturalNumber0(xp) = all_61_3_121 % 50.39/18.74 | (255) doDivides0(all_0_4_4, xm) = all_61_0_118 % 50.39/18.74 | (256) ~ (all_61_0_118 = 0) | ~ (all_61_1_119 = 0) | ~ (all_61_2_120 = 0) | ~ (all_61_3_121 = 0) % 50.39/18.74 | % 50.39/18.74 +-Applying beta-rule and splitting (111), into two cases. % 50.39/18.74 |-Branch one: % 50.39/18.74 | (257) all_0_2_2 = all_0_10_10 % 50.39/18.74 | % 50.39/18.74 | Equations (257) can reduce 96 to: % 50.39/18.74 | (248) $false % 50.39/18.74 | % 50.39/18.74 |-The branch is then unsatisfiable % 50.39/18.74 |-Branch two: % 50.39/18.74 | (96) ~ (all_0_2_2 = all_0_10_10) % 50.39/18.74 | (260) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_0_10_10, all_0_2_2) = v2 & aNaturalNumber0(all_0_2_2) = v0 & aNaturalNumber0(all_0_10_10) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 50.39/18.74 | % 50.39/18.74 | Instantiating (260) with all_66_0_122, all_66_1_123, all_66_2_124 yields: % 50.39/18.74 | (261) sdtlseqdt0(all_0_10_10, all_0_2_2) = all_66_0_122 & aNaturalNumber0(all_0_2_2) = all_66_2_124 & aNaturalNumber0(all_0_10_10) = all_66_1_123 & ( ~ (all_66_0_122 = 0) | ~ (all_66_1_123 = 0) | ~ (all_66_2_124 = 0)) % 50.39/18.74 | % 50.39/18.74 | Applying alpha-rule on (261) yields: % 50.39/18.74 | (262) sdtlseqdt0(all_0_10_10, all_0_2_2) = all_66_0_122 % 50.39/18.74 | (263) aNaturalNumber0(all_0_2_2) = all_66_2_124 % 50.39/18.74 | (264) aNaturalNumber0(all_0_10_10) = all_66_1_123 % 50.39/18.74 | (265) ~ (all_66_0_122 = 0) | ~ (all_66_1_123 = 0) | ~ (all_66_2_124 = 0) % 50.39/18.74 | % 50.39/18.74 +-Applying beta-rule and splitting (113), into two cases. % 50.39/18.74 |-Branch one: % 50.39/18.74 | (266) xk = xp % 50.39/18.74 | % 50.39/18.74 | Equations (266) can reduce 85 to: % 50.39/18.74 | (248) $false % 50.39/18.74 | % 50.39/18.74 |-The branch is then unsatisfiable % 50.39/18.74 |-Branch two: % 50.39/18.74 | (85) ~ (xk = xp) % 50.39/18.74 | (269) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xp, xk) = v2 & aNaturalNumber0(xk) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 50.39/18.74 | % 50.39/18.74 | Instantiating (269) with all_71_0_125, all_71_1_126, all_71_2_127 yields: % 50.39/18.74 | (270) sdtlseqdt0(xp, xk) = all_71_0_125 & aNaturalNumber0(xk) = all_71_2_127 & aNaturalNumber0(xp) = all_71_1_126 & ( ~ (all_71_0_125 = 0) | ~ (all_71_1_126 = 0) | ~ (all_71_2_127 = 0)) % 50.39/18.74 | % 50.39/18.74 | Applying alpha-rule on (270) yields: % 50.39/18.74 | (271) sdtlseqdt0(xp, xk) = all_71_0_125 % 50.39/18.74 | (272) aNaturalNumber0(xk) = all_71_2_127 % 50.39/18.74 | (273) aNaturalNumber0(xp) = all_71_1_126 % 50.39/18.74 | (274) ~ (all_71_0_125 = 0) | ~ (all_71_1_126 = 0) | ~ (all_71_2_127 = 0) % 50.39/18.74 | % 50.39/18.74 +-Applying beta-rule and splitting (109), into two cases. % 50.39/18.74 |-Branch one: % 50.39/18.74 | (247) all_0_0_0 = 0 % 50.39/18.74 | % 50.39/18.74 | Equations (247) can reduce 74 to: % 50.39/18.74 | (248) $false % 50.39/18.74 | % 50.39/18.74 |-The branch is then unsatisfiable % 50.39/18.74 |-Branch two: % 50.39/18.74 | (74) ~ (all_0_0_0 = 0) % 50.39/18.74 | (278) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (doDivides0(all_0_9_9, xm) = v3 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 50.39/18.74 | % 50.39/18.74 | Instantiating (278) with all_76_0_128, all_76_1_129, all_76_2_130, all_76_3_131 yields: % 50.39/18.74 | (279) doDivides0(all_0_9_9, xm) = all_76_0_128 & aNaturalNumber0(all_0_9_9) = all_76_2_130 & aNaturalNumber0(xp) = all_76_3_131 & aNaturalNumber0(xm) = all_76_1_129 & ( ~ (all_76_0_128 = 0) | ~ (all_76_1_129 = 0) | ~ (all_76_2_130 = 0) | ~ (all_76_3_131 = 0)) % 50.39/18.74 | % 50.39/18.74 | Applying alpha-rule on (279) yields: % 50.39/18.74 | (280) doDivides0(all_0_9_9, xm) = all_76_0_128 % 50.39/18.74 | (281) ~ (all_76_0_128 = 0) | ~ (all_76_1_129 = 0) | ~ (all_76_2_130 = 0) | ~ (all_76_3_131 = 0) % 50.39/18.74 | (282) aNaturalNumber0(all_0_9_9) = all_76_2_130 % 50.39/18.74 | (283) aNaturalNumber0(xm) = all_76_1_129 % 50.39/18.74 | (284) aNaturalNumber0(xp) = all_76_3_131 % 50.39/18.74 | % 50.39/18.74 +-Applying beta-rule and splitting (112), into two cases. % 50.39/18.74 |-Branch one: % 50.39/18.74 | (285) all_0_5_5 = xn % 50.39/18.74 | % 50.39/18.74 | Equations (285) can reduce 38 to: % 50.39/18.74 | (248) $false % 50.39/18.74 | % 50.39/18.74 |-The branch is then unsatisfiable % 50.39/18.74 |-Branch two: % 50.39/18.74 | (38) ~ (all_0_5_5 = xn) % 50.39/18.74 | (288) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xn, all_0_5_5) = v2 & aNaturalNumber0(all_0_5_5) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 50.39/18.74 | % 50.39/18.74 | Instantiating (288) with all_81_0_132, all_81_1_133, all_81_2_134 yields: % 50.39/18.74 | (289) sdtlseqdt0(xn, all_0_5_5) = all_81_0_132 & aNaturalNumber0(all_0_5_5) = all_81_2_134 & aNaturalNumber0(xn) = all_81_1_133 & ( ~ (all_81_0_132 = 0) | ~ (all_81_1_133 = 0) | ~ (all_81_2_134 = 0)) % 50.39/18.74 | % 50.39/18.74 | Applying alpha-rule on (289) yields: % 50.39/18.74 | (290) sdtlseqdt0(xn, all_0_5_5) = all_81_0_132 % 50.39/18.74 | (291) aNaturalNumber0(all_0_5_5) = all_81_2_134 % 50.39/18.74 | (292) aNaturalNumber0(xn) = all_81_1_133 % 50.39/18.74 | (293) ~ (all_81_0_132 = 0) | ~ (all_81_1_133 = 0) | ~ (all_81_2_134 = 0) % 50.39/18.74 | % 50.39/18.74 +-Applying beta-rule and splitting (106), into two cases. % 50.39/18.74 |-Branch one: % 50.39/18.74 | (294) all_0_1_1 = 0 % 50.39/18.74 | % 50.39/18.74 | Equations (294) can reduce 19 to: % 50.39/18.74 | (248) $false % 50.39/18.74 | % 50.39/18.74 |-The branch is then unsatisfiable % 50.39/18.74 |-Branch two: % 50.39/18.74 | (19) ~ (all_0_1_1 = 0) % 50.39/18.74 | (297) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (doDivides0(all_0_9_9, all_0_5_5) = v3 & aNaturalNumber0(all_0_5_5) = v2 & aNaturalNumber0(all_0_9_9) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 50.39/18.74 | % 50.39/18.74 | Instantiating (297) with all_86_0_135, all_86_1_136, all_86_2_137, all_86_3_138 yields: % 50.39/18.74 | (298) doDivides0(all_0_9_9, all_0_5_5) = all_86_0_135 & aNaturalNumber0(all_0_5_5) = all_86_1_136 & aNaturalNumber0(all_0_9_9) = all_86_2_137 & aNaturalNumber0(xp) = all_86_3_138 & ( ~ (all_86_0_135 = 0) | ~ (all_86_1_136 = 0) | ~ (all_86_2_137 = 0) | ~ (all_86_3_138 = 0)) % 50.39/18.74 | % 50.39/18.74 | Applying alpha-rule on (298) yields: % 50.39/18.74 | (299) aNaturalNumber0(xp) = all_86_3_138 % 50.39/18.74 | (300) doDivides0(all_0_9_9, all_0_5_5) = all_86_0_135 % 50.39/18.74 | (301) ~ (all_86_0_135 = 0) | ~ (all_86_1_136 = 0) | ~ (all_86_2_137 = 0) | ~ (all_86_3_138 = 0) % 50.39/18.74 | (302) aNaturalNumber0(all_0_5_5) = all_86_1_136 % 50.39/18.74 | (303) aNaturalNumber0(all_0_9_9) = all_86_2_137 % 50.39/18.74 | % 50.39/18.74 +-Applying beta-rule and splitting (107), into two cases. % 50.39/18.74 |-Branch one: % 50.39/18.74 | (294) all_0_1_1 = 0 % 50.39/18.74 | % 50.39/18.74 | Equations (294) can reduce 19 to: % 50.39/18.74 | (248) $false % 50.39/18.74 | % 50.39/18.74 |-The branch is then unsatisfiable % 50.39/18.74 |-Branch two: % 50.39/18.74 | (19) ~ (all_0_1_1 = 0) % 50.39/18.74 | (307) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (doDivides0(all_0_4_4, all_0_5_5) = v3 & aNaturalNumber0(all_0_4_4) = v1 & aNaturalNumber0(all_0_5_5) = v2 & aNaturalNumber0(xp) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 50.39/18.74 | % 50.39/18.74 | Instantiating (307) with all_91_0_139, all_91_1_140, all_91_2_141, all_91_3_142 yields: % 50.39/18.74 | (308) doDivides0(all_0_4_4, all_0_5_5) = all_91_0_139 & aNaturalNumber0(all_0_4_4) = all_91_2_141 & aNaturalNumber0(all_0_5_5) = all_91_1_140 & aNaturalNumber0(xp) = all_91_3_142 & ( ~ (all_91_0_139 = 0) | ~ (all_91_1_140 = 0) | ~ (all_91_2_141 = 0) | ~ (all_91_3_142 = 0)) % 50.39/18.74 | % 50.39/18.74 | Applying alpha-rule on (308) yields: % 50.39/18.74 | (309) doDivides0(all_0_4_4, all_0_5_5) = all_91_0_139 % 50.39/18.74 | (310) aNaturalNumber0(all_0_4_4) = all_91_2_141 % 50.39/18.74 | (311) aNaturalNumber0(all_0_5_5) = all_91_1_140 % 50.39/18.74 | (312) aNaturalNumber0(xp) = all_91_3_142 % 50.39/18.74 | (313) ~ (all_91_0_139 = 0) | ~ (all_91_1_140 = 0) | ~ (all_91_2_141 = 0) | ~ (all_91_3_142 = 0) % 50.39/18.74 | % 50.39/18.74 +-Applying beta-rule and splitting (133), into two cases. % 50.39/18.74 |-Branch one: % 50.39/18.74 | (314) xr = sz00 % 50.39/18.74 | % 50.39/18.74 | Equations (314) can reduce 102 to: % 50.39/18.74 | (248) $false % 50.39/18.74 | % 50.39/18.74 |-The branch is then unsatisfiable % 50.39/18.74 |-Branch two: % 50.39/18.74 | (102) ~ (xr = sz00) % 50.39/18.74 | (317) xr = sz10 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xr) = 0 & aNaturalNumber0(v0) = 0) % 50.39/18.74 | % 50.39/18.74 +-Applying beta-rule and splitting (134), into two cases. % 50.39/18.74 |-Branch one: % 50.39/18.74 | (318) xp = sz00 % 50.39/18.74 | % 50.39/18.74 | Equations (318) can reduce 103 to: % 50.39/18.74 | (248) $false % 50.39/18.74 | % 50.39/18.74 |-The branch is then unsatisfiable % 50.39/18.74 |-Branch two: % 50.39/18.74 | (103) ~ (xp = sz00) % 50.39/18.74 | (321) xp = sz10 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0) % 50.39/18.74 | % 50.39/18.74 +-Applying beta-rule and splitting (317), into two cases. % 50.39/18.74 |-Branch one: % 50.39/18.74 | (322) xr = sz10 % 50.39/18.74 | % 50.39/18.74 | Equations (322) can reduce 100 to: % 50.39/18.74 | (248) $false % 50.39/18.74 | % 50.39/18.74 |-The branch is then unsatisfiable % 50.39/18.74 |-Branch two: % 50.39/18.74 | (100) ~ (xr = sz10) % 50.39/18.74 | (325) ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xr) = 0 & aNaturalNumber0(v0) = 0) % 50.39/18.74 | % 50.39/18.74 | Instantiating (325) with all_103_0_143 yields: % 50.39/18.74 | (326) isPrime0(all_103_0_143) = 0 & doDivides0(all_103_0_143, xr) = 0 & aNaturalNumber0(all_103_0_143) = 0 % 50.39/18.75 | % 50.39/18.75 | Applying alpha-rule on (326) yields: % 50.39/18.75 | (327) isPrime0(all_103_0_143) = 0 % 50.39/18.75 | (328) doDivides0(all_103_0_143, xr) = 0 % 50.39/18.75 | (329) aNaturalNumber0(all_103_0_143) = 0 % 50.39/18.75 | % 50.39/18.75 +-Applying beta-rule and splitting (321), into two cases. % 50.39/18.75 |-Branch one: % 50.39/18.75 | (330) xp = sz10 % 50.39/18.75 | % 50.39/18.75 | Equations (330) can reduce 101 to: % 50.39/18.75 | (248) $false % 50.39/18.75 | % 50.39/18.75 |-The branch is then unsatisfiable % 50.39/18.75 |-Branch two: % 50.39/18.75 | (101) ~ (xp = sz10) % 50.39/18.75 | (333) ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0) % 50.39/18.75 | % 50.39/18.75 | Instantiating (333) with all_108_0_144 yields: % 50.39/18.75 | (334) isPrime0(all_108_0_144) = 0 & doDivides0(all_108_0_144, xp) = 0 & aNaturalNumber0(all_108_0_144) = 0 % 50.39/18.75 | % 50.39/18.75 | Applying alpha-rule on (334) yields: % 50.39/18.75 | (335) isPrime0(all_108_0_144) = 0 % 50.39/18.75 | (336) doDivides0(all_108_0_144, xp) = 0 % 50.39/18.75 | (337) aNaturalNumber0(all_108_0_144) = 0 % 50.39/18.75 | % 50.39/18.75 | Using (327) and (56) yields: % 50.39/18.75 | (338) ~ (all_103_0_143 = sz10) % 50.39/18.75 | % 50.39/18.75 | Using (327) and (87) yields: % 50.39/18.75 | (339) ~ (all_103_0_143 = sz00) % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (84) with xr, all_42_5_78, 0 and discharging atoms isPrime0(xr) = all_42_5_78, isPrime0(xr) = 0, yields: % 50.39/18.75 | (340) all_42_5_78 = 0 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (84) with xp, all_40_5_69, 0 and discharging atoms isPrime0(xp) = all_40_5_69, isPrime0(xp) = 0, yields: % 50.39/18.75 | (341) all_40_5_69 = 0 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (84) with xp, all_26_5_40, all_40_5_69 and discharging atoms isPrime0(xp) = all_40_5_69, isPrime0(xp) = all_26_5_40, yields: % 50.39/18.75 | (342) all_40_5_69 = all_26_5_40 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (34) with xr, xn, all_42_1_74, 0 and discharging atoms doDivides0(xr, xn) = all_42_1_74, doDivides0(xr, xn) = 0, yields: % 50.39/18.75 | (343) all_42_1_74 = 0 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (34) with xp, all_0_5_5, all_26_1_36, all_0_1_1 and discharging atoms doDivides0(xp, all_0_5_5) = all_26_1_36, doDivides0(xp, all_0_5_5) = all_0_1_1, yields: % 50.39/18.75 | (344) all_26_1_36 = all_0_1_1 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (34) with xp, xm, all_40_0_64, all_0_0_0 and discharging atoms doDivides0(xp, xm) = all_40_0_64, doDivides0(xp, xm) = all_0_0_0, yields: % 50.39/18.75 | (345) all_40_0_64 = all_0_0_0 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (34) with xp, xm, all_26_0_35, all_40_0_64 and discharging atoms doDivides0(xp, xm) = all_40_0_64, doDivides0(xp, xm) = all_26_0_35, yields: % 50.39/18.75 | (346) all_40_0_64 = all_26_0_35 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (36) with all_0_11_11, xp, all_40_3_67, all_0_10_10 and discharging atoms sdtpldt0(all_0_11_11, xp) = all_0_10_10, yields: % 50.39/18.75 | (347) all_40_3_67 = all_0_10_10 | ~ (sdtpldt0(all_0_11_11, xp) = all_40_3_67) % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (36) with all_0_3_3, xp, all_26_3_38, all_0_2_2 and discharging atoms sdtpldt0(all_0_3_3, xp) = all_0_2_2, yields: % 50.39/18.75 | (348) all_26_3_38 = all_0_2_2 | ~ (sdtpldt0(all_0_3_3, xp) = all_26_3_38) % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (36) with all_0_5_5, xm, all_26_4_39, all_0_3_3 and discharging atoms sdtpldt0(all_0_5_5, xm) = all_26_4_39, sdtpldt0(all_0_5_5, xm) = all_0_3_3, yields: % 50.39/18.75 | (349) all_26_4_39 = all_0_3_3 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (36) with xm, xp, all_22_1_28, all_32_1_51 and discharging atoms sdtpldt0(xm, xp) = all_32_1_51, sdtpldt0(xm, xp) = all_22_1_28, yields: % 50.39/18.75 | (350) all_32_1_51 = all_22_1_28 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (36) with xn, xm, all_42_4_77, all_0_11_11 and discharging atoms sdtpldt0(xn, xm) = all_42_4_77, sdtpldt0(xn, xm) = all_0_11_11, yields: % 50.39/18.75 | (351) all_42_4_77 = all_0_11_11 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (36) with xn, xm, all_40_4_68, all_42_4_77 and discharging atoms sdtpldt0(xn, xm) = all_42_4_77, sdtpldt0(xn, xm) = all_40_4_68, yields: % 50.39/18.75 | (352) all_42_4_77 = all_40_4_68 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with all_0_2_2, all_18_0_21, all_66_2_124 and discharging atoms aNaturalNumber0(all_0_2_2) = all_66_2_124, aNaturalNumber0(all_0_2_2) = all_18_0_21, yields: % 50.39/18.75 | (353) all_66_2_124 = all_18_0_21 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with all_0_3_3, all_20_0_24, all_30_2_49 and discharging atoms aNaturalNumber0(all_0_3_3) = all_30_2_49, aNaturalNumber0(all_0_3_3) = all_20_0_24, yields: % 50.39/18.75 | (354) all_30_2_49 = all_20_0_24 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with all_0_3_3, all_18_2_23, all_30_2_49 and discharging atoms aNaturalNumber0(all_0_3_3) = all_30_2_49, aNaturalNumber0(all_0_3_3) = all_18_2_23, yields: % 50.39/18.75 | (355) all_30_2_49 = all_18_2_23 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with all_0_5_5, all_81_2_134, all_91_1_140 and discharging atoms aNaturalNumber0(all_0_5_5) = all_91_1_140, aNaturalNumber0(all_0_5_5) = all_81_2_134, yields: % 50.39/18.75 | (356) all_91_1_140 = all_81_2_134 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with all_0_5_5, all_81_2_134, all_86_1_136 and discharging atoms aNaturalNumber0(all_0_5_5) = all_86_1_136, aNaturalNumber0(all_0_5_5) = all_81_2_134, yields: % 50.39/18.75 | (357) all_86_1_136 = all_81_2_134 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with all_0_5_5, all_55_2_117, all_86_1_136 and discharging atoms aNaturalNumber0(all_0_5_5) = all_86_1_136, aNaturalNumber0(all_0_5_5) = all_55_2_117, yields: % 50.39/18.75 | (358) all_86_1_136 = all_55_2_117 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with all_0_5_5, all_28_2_46, all_91_1_140 and discharging atoms aNaturalNumber0(all_0_5_5) = all_91_1_140, aNaturalNumber0(all_0_5_5) = all_28_2_46, yields: % 50.39/18.75 | (359) all_91_1_140 = all_28_2_46 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with all_0_5_5, all_26_8_43, all_81_2_134 and discharging atoms aNaturalNumber0(all_0_5_5) = all_81_2_134, aNaturalNumber0(all_0_5_5) = all_26_8_43, yields: % 50.39/18.75 | (360) all_81_2_134 = all_26_8_43 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with all_0_5_5, all_24_2_34, all_81_2_134 and discharging atoms aNaturalNumber0(all_0_5_5) = all_81_2_134, aNaturalNumber0(all_0_5_5) = all_24_2_34, yields: % 50.39/18.75 | (361) all_81_2_134 = all_24_2_34 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with all_0_5_5, all_22_4_31, all_26_8_43 and discharging atoms aNaturalNumber0(all_0_5_5) = all_26_8_43, aNaturalNumber0(all_0_5_5) = all_22_4_31, yields: % 50.39/18.75 | (362) all_26_8_43 = all_22_4_31 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with all_0_5_5, all_20_2_26, all_81_2_134 and discharging atoms aNaturalNumber0(all_0_5_5) = all_81_2_134, aNaturalNumber0(all_0_5_5) = all_20_2_26, yields: % 50.39/18.75 | (363) all_81_2_134 = all_20_2_26 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with all_0_9_9, all_76_2_130, all_86_2_137 and discharging atoms aNaturalNumber0(all_0_9_9) = all_86_2_137, aNaturalNumber0(all_0_9_9) = all_76_2_130, yields: % 50.39/18.75 | (364) all_86_2_137 = all_76_2_130 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with all_0_9_9, all_36_0_58, all_86_2_137 and discharging atoms aNaturalNumber0(all_0_9_9) = all_86_2_137, aNaturalNumber0(all_0_9_9) = all_36_0_58, yields: % 50.39/18.75 | (365) all_86_2_137 = all_36_0_58 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with all_0_10_10, all_34_0_55, all_66_1_123 and discharging atoms aNaturalNumber0(all_0_10_10) = all_66_1_123, aNaturalNumber0(all_0_10_10) = all_34_0_55, yields: % 50.39/18.75 | (366) all_66_1_123 = all_34_0_55 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with all_0_11_11, all_16_2_20, all_34_2_57 and discharging atoms aNaturalNumber0(all_0_11_11) = all_34_2_57, aNaturalNumber0(all_0_11_11) = all_16_2_20, yields: % 50.39/18.75 | (367) all_34_2_57 = all_16_2_20 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with all_0_11_11, all_12_0_12, all_34_2_57 and discharging atoms aNaturalNumber0(all_0_11_11) = all_34_2_57, aNaturalNumber0(all_0_11_11) = all_12_0_12, yields: % 50.39/18.75 | (368) all_34_2_57 = all_12_0_12 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with xr, all_42_6_79, 0 and discharging atoms aNaturalNumber0(xr) = all_42_6_79, aNaturalNumber0(xr) = 0, yields: % 50.39/18.75 | (369) all_42_6_79 = 0 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with xp, all_76_3_131, all_86_3_138 and discharging atoms aNaturalNumber0(xp) = all_86_3_138, aNaturalNumber0(xp) = all_76_3_131, yields: % 50.39/18.75 | (370) all_86_3_138 = all_76_3_131 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with xp, all_71_1_126, all_91_3_142 and discharging atoms aNaturalNumber0(xp) = all_91_3_142, aNaturalNumber0(xp) = all_71_1_126, yields: % 50.39/18.75 | (371) all_91_3_142 = all_71_1_126 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with xp, all_71_1_126, all_76_3_131 and discharging atoms aNaturalNumber0(xp) = all_76_3_131, aNaturalNumber0(xp) = all_71_1_126, yields: % 50.39/18.75 | (372) all_76_3_131 = all_71_1_126 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with xp, all_61_3_121, all_91_3_142 and discharging atoms aNaturalNumber0(xp) = all_91_3_142, aNaturalNumber0(xp) = all_61_3_121, yields: % 50.39/18.75 | (373) all_91_3_142 = all_61_3_121 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with xp, all_40_6_70, all_91_3_142 and discharging atoms aNaturalNumber0(xp) = all_91_3_142, aNaturalNumber0(xp) = all_40_6_70, yields: % 50.39/18.75 | (374) all_91_3_142 = all_40_6_70 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with xp, all_34_1_56, 0 and discharging atoms aNaturalNumber0(xp) = all_34_1_56, aNaturalNumber0(xp) = 0, yields: % 50.39/18.75 | (375) all_34_1_56 = 0 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with xp, all_32_2_52, all_86_3_138 and discharging atoms aNaturalNumber0(xp) = all_86_3_138, aNaturalNumber0(xp) = all_32_2_52, yields: % 50.39/18.75 | (376) all_86_3_138 = all_32_2_52 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with xp, all_30_1_48, all_34_1_56 and discharging atoms aNaturalNumber0(xp) = all_34_1_56, aNaturalNumber0(xp) = all_30_1_48, yields: % 50.39/18.75 | (377) all_34_1_56 = all_30_1_48 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with xp, all_26_6_41, all_40_6_70 and discharging atoms aNaturalNumber0(xp) = all_40_6_70, aNaturalNumber0(xp) = all_26_6_41, yields: % 50.39/18.75 | (378) all_40_6_70 = all_26_6_41 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with xp, all_26_6_41, all_34_1_56 and discharging atoms aNaturalNumber0(xp) = all_34_1_56, aNaturalNumber0(xp) = all_26_6_41, yields: % 50.39/18.75 | (379) all_34_1_56 = all_26_6_41 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with xp, all_22_2_29, all_40_6_70 and discharging atoms aNaturalNumber0(xp) = all_40_6_70, aNaturalNumber0(xp) = all_22_2_29, yields: % 50.39/18.75 | (380) all_40_6_70 = all_22_2_29 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with xp, all_18_1_22, all_34_1_56 and discharging atoms aNaturalNumber0(xp) = all_34_1_56, aNaturalNumber0(xp) = all_18_1_22, yields: % 50.39/18.75 | (381) all_34_1_56 = all_18_1_22 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with xp, all_16_1_19, all_26_6_41 and discharging atoms aNaturalNumber0(xp) = all_26_6_41, aNaturalNumber0(xp) = all_16_1_19, yields: % 50.39/18.75 | (382) all_26_6_41 = all_16_1_19 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with xm, all_55_1_116, 0 and discharging atoms aNaturalNumber0(xm) = all_55_1_116, aNaturalNumber0(xm) = 0, yields: % 50.39/18.75 | (383) all_55_1_116 = 0 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with xm, all_42_7_80, all_61_1_119 and discharging atoms aNaturalNumber0(xm) = all_61_1_119, aNaturalNumber0(xm) = all_42_7_80, yields: % 50.39/18.75 | (384) all_61_1_119 = all_42_7_80 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with xm, all_40_7_71, all_42_7_80 and discharging atoms aNaturalNumber0(xm) = all_42_7_80, aNaturalNumber0(xm) = all_40_7_71, yields: % 50.39/18.75 | (385) all_42_7_80 = all_40_7_71 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with xm, all_38_1_62, all_76_1_129 and discharging atoms aNaturalNumber0(xm) = all_76_1_129, aNaturalNumber0(xm) = all_38_1_62, yields: % 50.39/18.75 | (386) all_76_1_129 = all_38_1_62 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with xm, all_38_1_62, all_40_7_71 and discharging atoms aNaturalNumber0(xm) = all_40_7_71, aNaturalNumber0(xm) = all_38_1_62, yields: % 50.39/18.75 | (387) all_40_7_71 = all_38_1_62 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with xm, all_36_1_59, all_76_1_129 and discharging atoms aNaturalNumber0(xm) = all_76_1_129, aNaturalNumber0(xm) = all_36_1_59, yields: % 50.39/18.75 | (388) all_76_1_129 = all_36_1_59 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with xm, all_32_3_53, all_76_1_129 and discharging atoms aNaturalNumber0(xm) = all_76_1_129, aNaturalNumber0(xm) = all_32_3_53, yields: % 50.39/18.75 | (389) all_76_1_129 = all_32_3_53 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with xm, all_28_1_45, all_61_1_119 and discharging atoms aNaturalNumber0(xm) = all_61_1_119, aNaturalNumber0(xm) = all_28_1_45, yields: % 50.39/18.75 | (390) all_61_1_119 = all_28_1_45 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with xm, all_26_7_42, all_32_3_53 and discharging atoms aNaturalNumber0(xm) = all_32_3_53, aNaturalNumber0(xm) = all_26_7_42, yields: % 50.39/18.75 | (391) all_32_3_53 = all_26_7_42 % 50.39/18.75 | % 50.39/18.75 | Instantiating formula (63) with xm, all_24_1_33, all_32_3_53 and discharging atoms aNaturalNumber0(xm) = all_32_3_53, aNaturalNumber0(xm) = all_24_1_33, yields: % 50.39/18.76 | (392) all_32_3_53 = all_24_1_33 % 50.39/18.76 | % 50.39/18.76 | Instantiating formula (63) with xm, all_22_3_30, all_26_7_42 and discharging atoms aNaturalNumber0(xm) = all_26_7_42, aNaturalNumber0(xm) = all_22_3_30, yields: % 50.39/18.76 | (393) all_26_7_42 = all_22_3_30 % 50.39/18.76 | % 50.39/18.76 | Instantiating formula (63) with xm, all_20_1_25, all_32_3_53 and discharging atoms aNaturalNumber0(xm) = all_32_3_53, aNaturalNumber0(xm) = all_20_1_25, yields: % 50.39/18.76 | (394) all_32_3_53 = all_20_1_25 % 50.39/18.76 | % 50.39/18.76 | Instantiating formula (63) with xm, all_14_1_16, all_55_1_116 and discharging atoms aNaturalNumber0(xm) = all_55_1_116, aNaturalNumber0(xm) = all_14_1_16, yields: % 50.39/18.76 | (395) all_55_1_116 = all_14_1_16 % 50.39/18.76 | % 50.39/18.76 | Instantiating formula (63) with xm, all_14_1_16, all_20_1_25 and discharging atoms aNaturalNumber0(xm) = all_20_1_25, aNaturalNumber0(xm) = all_14_1_16, yields: % 50.39/18.76 | (396) all_20_1_25 = all_14_1_16 % 50.39/18.76 | % 50.39/18.76 | Instantiating formula (63) with xm, all_12_1_13, all_32_3_53 and discharging atoms aNaturalNumber0(xm) = all_32_3_53, aNaturalNumber0(xm) = all_12_1_13, yields: % 50.39/18.76 | (397) all_32_3_53 = all_12_1_13 % 50.39/18.76 | % 50.39/18.76 | Instantiating formula (63) with xn, all_42_8_81, all_81_1_133 and discharging atoms aNaturalNumber0(xn) = all_81_1_133, aNaturalNumber0(xn) = all_42_8_81, yields: % 50.39/18.76 | (398) all_81_1_133 = all_42_8_81 % 50.39/18.76 | % 50.39/18.76 | Instantiating formula (63) with xn, all_40_8_72, all_42_8_81 and discharging atoms aNaturalNumber0(xn) = all_42_8_81, aNaturalNumber0(xn) = all_40_8_72, yields: % 50.39/18.76 | (399) all_42_8_81 = all_40_8_72 % 50.39/18.76 | % 50.39/18.76 | Instantiating formula (63) with xn, all_38_2_63, all_40_8_72 and discharging atoms aNaturalNumber0(xn) = all_40_8_72, aNaturalNumber0(xn) = all_38_2_63, yields: % 50.39/18.76 | (400) all_40_8_72 = all_38_2_63 % 50.39/18.76 | % 50.39/18.76 | Instantiating formula (63) with xn, all_36_2_60, all_81_1_133 and discharging atoms aNaturalNumber0(xn) = all_81_1_133, aNaturalNumber0(xn) = all_36_2_60, yields: % 50.39/18.76 | (401) all_81_1_133 = all_36_2_60 % 50.39/18.76 | % 50.39/18.76 | Instantiating formula (63) with xn, all_32_4_54, all_38_2_63 and discharging atoms aNaturalNumber0(xn) = all_38_2_63, aNaturalNumber0(xn) = all_32_4_54, yields: % 50.39/18.76 | (402) all_38_2_63 = all_32_4_54 % 50.39/18.76 | % 50.39/18.76 | Instantiating formula (63) with xn, all_14_2_17, 0 and discharging atoms aNaturalNumber0(xn) = all_14_2_17, aNaturalNumber0(xn) = 0, yields: % 50.39/18.76 | (403) all_14_2_17 = 0 % 50.39/18.76 | % 50.39/18.76 | Instantiating formula (63) with xn, all_14_2_17, all_32_4_54 and discharging atoms aNaturalNumber0(xn) = all_32_4_54, aNaturalNumber0(xn) = all_14_2_17, yields: % 50.39/18.76 | (404) all_32_4_54 = all_14_2_17 % 50.39/18.76 | % 50.39/18.76 | Instantiating formula (63) with xn, all_12_2_14, all_38_2_63 and discharging atoms aNaturalNumber0(xn) = all_38_2_63, aNaturalNumber0(xn) = all_12_2_14, yields: % 50.39/18.76 | (405) all_38_2_63 = all_12_2_14 % 50.39/18.76 | % 50.39/18.76 | Combining equations (356,359) yields a new equation: % 50.39/18.76 | (406) all_81_2_134 = all_28_2_46 % 50.39/18.76 | % 50.39/18.76 | Simplifying 406 yields: % 50.39/18.76 | (407) all_81_2_134 = all_28_2_46 % 50.39/18.76 | % 50.39/18.76 | Combining equations (374,373) yields a new equation: % 50.39/18.76 | (408) all_61_3_121 = all_40_6_70 % 50.39/18.76 | % 50.39/18.76 | Combining equations (371,373) yields a new equation: % 50.39/18.76 | (409) all_71_1_126 = all_61_3_121 % 50.39/18.76 | % 50.39/18.76 | Simplifying 409 yields: % 50.39/18.76 | (410) all_71_1_126 = all_61_3_121 % 50.39/18.76 | % 50.39/18.76 | Combining equations (357,358) yields a new equation: % 50.39/18.76 | (411) all_81_2_134 = all_55_2_117 % 50.39/18.76 | % 50.39/18.76 | Simplifying 411 yields: % 50.39/18.76 | (412) all_81_2_134 = all_55_2_117 % 50.39/18.76 | % 50.39/18.76 | Combining equations (365,364) yields a new equation: % 50.39/18.76 | (413) all_76_2_130 = all_36_0_58 % 50.39/18.76 | % 50.39/18.76 | Combining equations (370,376) yields a new equation: % 50.39/18.76 | (414) all_76_3_131 = all_32_2_52 % 50.39/18.76 | % 50.39/18.76 | Simplifying 414 yields: % 50.39/18.76 | (415) all_76_3_131 = all_32_2_52 % 50.39/18.76 | % 50.39/18.76 | Combining equations (398,401) yields a new equation: % 50.39/18.76 | (416) all_42_8_81 = all_36_2_60 % 50.39/18.76 | % 50.39/18.76 | Simplifying 416 yields: % 50.39/18.76 | (417) all_42_8_81 = all_36_2_60 % 50.39/18.76 | % 50.39/18.76 | Combining equations (407,412) yields a new equation: % 50.39/18.76 | (418) all_55_2_117 = all_28_2_46 % 50.39/18.76 | % 50.39/18.76 | Combining equations (363,412) yields a new equation: % 50.39/18.76 | (419) all_55_2_117 = all_20_2_26 % 50.39/18.76 | % 50.39/18.76 | Combining equations (361,412) yields a new equation: % 50.39/18.76 | (420) all_55_2_117 = all_24_2_34 % 50.39/18.76 | % 50.39/18.76 | Combining equations (360,412) yields a new equation: % 50.39/18.76 | (421) all_55_2_117 = all_26_8_43 % 50.39/18.76 | % 50.39/18.76 | Combining equations (389,388) yields a new equation: % 50.39/18.76 | (422) all_36_1_59 = all_32_3_53 % 50.39/18.76 | % 50.39/18.76 | Combining equations (386,388) yields a new equation: % 50.39/18.76 | (423) all_38_1_62 = all_36_1_59 % 50.39/18.76 | % 50.39/18.76 | Simplifying 423 yields: % 50.39/18.76 | (424) all_38_1_62 = all_36_1_59 % 50.39/18.76 | % 50.39/18.76 | Combining equations (372,415) yields a new equation: % 50.39/18.76 | (425) all_71_1_126 = all_32_2_52 % 50.39/18.76 | % 50.39/18.76 | Simplifying 425 yields: % 50.39/18.76 | (426) all_71_1_126 = all_32_2_52 % 50.39/18.76 | % 50.39/18.76 | Combining equations (410,426) yields a new equation: % 50.39/18.76 | (427) all_61_3_121 = all_32_2_52 % 50.39/18.76 | % 50.39/18.76 | Simplifying 427 yields: % 50.39/18.76 | (428) all_61_3_121 = all_32_2_52 % 50.39/18.76 | % 50.39/18.76 | Combining equations (384,390) yields a new equation: % 50.39/18.76 | (429) all_42_7_80 = all_28_1_45 % 50.39/18.76 | % 50.39/18.76 | Simplifying 429 yields: % 50.39/18.76 | (430) all_42_7_80 = all_28_1_45 % 50.39/18.76 | % 50.39/18.76 | Combining equations (408,428) yields a new equation: % 50.39/18.76 | (431) all_40_6_70 = all_32_2_52 % 50.39/18.76 | % 50.39/18.76 | Simplifying 431 yields: % 50.39/18.76 | (432) all_40_6_70 = all_32_2_52 % 50.39/18.76 | % 50.39/18.76 | Combining equations (395,383) yields a new equation: % 50.39/18.76 | (433) all_14_1_16 = 0 % 50.39/18.76 | % 50.39/18.76 | Simplifying 433 yields: % 50.39/18.76 | (434) all_14_1_16 = 0 % 50.39/18.76 | % 50.39/18.76 | Combining equations (419,418) yields a new equation: % 50.39/18.76 | (435) all_28_2_46 = all_20_2_26 % 50.39/18.76 | % 50.39/18.76 | Combining equations (420,418) yields a new equation: % 50.39/18.76 | (436) all_28_2_46 = all_24_2_34 % 50.39/18.76 | % 50.39/18.76 | Combining equations (421,418) yields a new equation: % 50.39/18.76 | (437) all_28_2_46 = all_26_8_43 % 50.39/18.76 | % 50.39/18.76 | Combining equations (351,352) yields a new equation: % 50.39/18.76 | (438) all_40_4_68 = all_0_11_11 % 50.39/18.76 | % 50.39/18.76 | Combining equations (385,430) yields a new equation: % 50.39/18.76 | (439) all_40_7_71 = all_28_1_45 % 50.39/18.76 | % 50.39/18.76 | Simplifying 439 yields: % 50.39/18.76 | (440) all_40_7_71 = all_28_1_45 % 50.39/18.76 | % 50.39/18.76 | Combining equations (399,417) yields a new equation: % 50.39/18.76 | (441) all_40_8_72 = all_36_2_60 % 50.39/18.76 | % 50.39/18.76 | Simplifying 441 yields: % 50.39/18.76 | (442) all_40_8_72 = all_36_2_60 % 50.39/18.76 | % 50.39/18.76 | Combining equations (345,346) yields a new equation: % 50.39/18.76 | (443) all_26_0_35 = all_0_0_0 % 50.39/18.76 | % 50.39/18.76 | Combining equations (341,342) yields a new equation: % 50.39/18.76 | (444) all_26_5_40 = 0 % 50.39/18.76 | % 50.39/18.76 | Combining equations (378,432) yields a new equation: % 50.39/18.76 | (445) all_32_2_52 = all_26_6_41 % 50.39/18.76 | % 50.39/18.76 | Combining equations (380,432) yields a new equation: % 50.39/18.76 | (446) all_32_2_52 = all_22_2_29 % 50.39/18.76 | % 50.39/18.76 | Combining equations (387,440) yields a new equation: % 50.39/18.76 | (447) all_38_1_62 = all_28_1_45 % 50.39/18.76 | % 50.39/18.76 | Simplifying 447 yields: % 50.39/18.76 | (448) all_38_1_62 = all_28_1_45 % 50.39/18.76 | % 50.39/18.76 | Combining equations (400,442) yields a new equation: % 50.39/18.76 | (449) all_38_2_63 = all_36_2_60 % 50.39/18.76 | % 50.39/18.76 | Simplifying 449 yields: % 50.39/18.76 | (450) all_38_2_63 = all_36_2_60 % 50.39/18.76 | % 50.39/18.76 | Combining equations (424,448) yields a new equation: % 50.39/18.76 | (451) all_36_1_59 = all_28_1_45 % 50.39/18.76 | % 50.39/18.76 | Simplifying 451 yields: % 50.39/18.76 | (452) all_36_1_59 = all_28_1_45 % 50.39/18.76 | % 50.39/18.76 | Combining equations (402,450) yields a new equation: % 50.39/18.76 | (453) all_36_2_60 = all_32_4_54 % 50.39/18.76 | % 50.39/18.76 | Combining equations (405,450) yields a new equation: % 50.39/18.76 | (454) all_36_2_60 = all_12_2_14 % 50.39/18.76 | % 50.39/18.76 | Combining equations (422,452) yields a new equation: % 50.39/18.76 | (455) all_32_3_53 = all_28_1_45 % 50.39/18.76 | % 50.39/18.76 | Simplifying 455 yields: % 50.39/18.76 | (456) all_32_3_53 = all_28_1_45 % 50.39/18.76 | % 50.39/18.76 | Combining equations (453,454) yields a new equation: % 50.39/18.76 | (457) all_32_4_54 = all_12_2_14 % 50.39/18.76 | % 50.39/18.76 | Simplifying 457 yields: % 50.39/18.76 | (458) all_32_4_54 = all_12_2_14 % 50.39/18.76 | % 50.39/18.76 | Combining equations (379,377) yields a new equation: % 50.39/18.76 | (459) all_30_1_48 = all_26_6_41 % 50.39/18.76 | % 50.39/18.76 | Combining equations (381,377) yields a new equation: % 50.39/18.76 | (460) all_30_1_48 = all_18_1_22 % 50.39/18.76 | % 50.39/18.76 | Combining equations (375,377) yields a new equation: % 50.39/18.76 | (461) all_30_1_48 = 0 % 50.39/18.76 | % 50.39/18.76 | Combining equations (367,368) yields a new equation: % 50.39/18.76 | (462) all_16_2_20 = all_12_0_12 % 50.39/18.76 | % 50.39/18.76 | Simplifying 462 yields: % 50.39/18.76 | (463) all_16_2_20 = all_12_0_12 % 50.39/18.76 | % 50.39/18.76 | Combining equations (445,446) yields a new equation: % 50.39/18.76 | (464) all_26_6_41 = all_22_2_29 % 50.39/18.76 | % 50.39/18.76 | Simplifying 464 yields: % 50.39/18.76 | (465) all_26_6_41 = all_22_2_29 % 50.39/18.76 | % 50.39/18.76 | Combining equations (394,456) yields a new equation: % 50.39/18.76 | (466) all_28_1_45 = all_20_1_25 % 50.39/18.76 | % 50.39/18.76 | Combining equations (392,456) yields a new equation: % 50.39/18.76 | (467) all_28_1_45 = all_24_1_33 % 50.39/18.76 | % 50.39/18.76 | Combining equations (397,456) yields a new equation: % 50.39/18.76 | (468) all_28_1_45 = all_12_1_13 % 50.39/18.76 | % 50.39/18.76 | Combining equations (391,456) yields a new equation: % 50.39/18.76 | (469) all_28_1_45 = all_26_7_42 % 50.39/18.76 | % 50.39/18.76 | Combining equations (404,458) yields a new equation: % 50.39/18.76 | (470) all_14_2_17 = all_12_2_14 % 50.39/18.76 | % 50.39/18.76 | Simplifying 470 yields: % 50.39/18.76 | (471) all_14_2_17 = all_12_2_14 % 50.39/18.76 | % 50.39/18.76 | Combining equations (461,460) yields a new equation: % 50.39/18.76 | (472) all_18_1_22 = 0 % 50.39/18.76 | % 50.39/18.76 | Combining equations (459,460) yields a new equation: % 50.39/18.76 | (473) all_26_6_41 = all_18_1_22 % 50.39/18.76 | % 50.39/18.76 | Simplifying 473 yields: % 50.39/18.76 | (474) all_26_6_41 = all_18_1_22 % 50.39/18.76 | % 50.39/18.76 | Combining equations (355,354) yields a new equation: % 50.39/18.76 | (475) all_20_0_24 = all_18_2_23 % 50.39/18.76 | % 50.39/18.76 | Combining equations (466,467) yields a new equation: % 50.39/18.76 | (476) all_24_1_33 = all_20_1_25 % 50.39/18.76 | % 50.39/18.76 | Combining equations (468,467) yields a new equation: % 50.39/18.76 | (477) all_24_1_33 = all_12_1_13 % 50.39/18.76 | % 50.39/18.76 | Combining equations (469,467) yields a new equation: % 50.39/18.76 | (478) all_26_7_42 = all_24_1_33 % 50.39/18.76 | % 50.39/18.76 | Simplifying 478 yields: % 50.39/18.76 | (479) all_26_7_42 = all_24_1_33 % 50.39/18.76 | % 50.39/18.76 | Combining equations (437,436) yields a new equation: % 50.39/18.76 | (480) all_26_8_43 = all_24_2_34 % 50.39/18.76 | % 50.39/18.76 | Simplifying 480 yields: % 50.39/18.76 | (481) all_26_8_43 = all_24_2_34 % 50.39/18.76 | % 50.39/18.76 | Combining equations (435,436) yields a new equation: % 50.39/18.76 | (482) all_24_2_34 = all_20_2_26 % 50.39/18.77 | % 50.39/18.77 | Combining equations (382,465) yields a new equation: % 50.39/18.77 | (483) all_22_2_29 = all_16_1_19 % 50.39/18.77 | % 50.39/18.77 | Combining equations (474,465) yields a new equation: % 50.39/18.77 | (484) all_22_2_29 = all_18_1_22 % 50.39/18.77 | % 50.39/18.77 | Combining equations (479,393) yields a new equation: % 50.39/18.77 | (485) all_24_1_33 = all_22_3_30 % 50.39/18.77 | % 50.39/18.77 | Simplifying 485 yields: % 50.39/18.77 | (486) all_24_1_33 = all_22_3_30 % 50.39/18.77 | % 50.39/18.77 | Combining equations (481,362) yields a new equation: % 50.39/18.77 | (487) all_24_2_34 = all_22_4_31 % 50.39/18.77 | % 50.39/18.77 | Simplifying 487 yields: % 50.39/18.77 | (488) all_24_2_34 = all_22_4_31 % 50.39/18.77 | % 50.39/18.77 | Combining equations (477,486) yields a new equation: % 50.39/18.77 | (489) all_22_3_30 = all_12_1_13 % 50.39/18.77 | % 50.39/18.77 | Combining equations (476,486) yields a new equation: % 50.39/18.77 | (490) all_22_3_30 = all_20_1_25 % 50.39/18.77 | % 50.39/18.77 | Combining equations (482,488) yields a new equation: % 50.39/18.77 | (491) all_22_4_31 = all_20_2_26 % 50.39/18.77 | % 50.39/18.77 | Combining equations (484,483) yields a new equation: % 50.39/18.77 | (492) all_18_1_22 = all_16_1_19 % 50.39/18.77 | % 50.39/18.77 | Simplifying 492 yields: % 50.39/18.77 | (493) all_18_1_22 = all_16_1_19 % 50.39/18.77 | % 50.39/18.77 | Combining equations (490,489) yields a new equation: % 50.39/18.77 | (494) all_20_1_25 = all_12_1_13 % 50.39/18.77 | % 50.39/18.77 | Simplifying 494 yields: % 50.39/18.77 | (495) all_20_1_25 = all_12_1_13 % 50.39/18.77 | % 50.39/18.77 | Combining equations (396,495) yields a new equation: % 50.39/18.77 | (496) all_14_1_16 = all_12_1_13 % 50.39/18.77 | % 50.39/18.77 | Simplifying 496 yields: % 50.39/18.77 | (497) all_14_1_16 = all_12_1_13 % 50.39/18.77 | % 50.39/18.77 | Combining equations (472,493) yields a new equation: % 50.39/18.77 | (498) all_16_1_19 = 0 % 50.39/18.77 | % 50.39/18.77 | Combining equations (434,497) yields a new equation: % 50.39/18.77 | (499) all_12_1_13 = 0 % 50.39/18.77 | % 50.39/18.77 | Combining equations (403,471) yields a new equation: % 50.39/18.77 | (500) all_12_2_14 = 0 % 50.39/18.77 | % 50.39/18.77 | Combining equations (500,471) yields a new equation: % 50.39/18.77 | (403) all_14_2_17 = 0 % 50.39/18.77 | % 50.39/18.77 | Combining equations (499,497) yields a new equation: % 50.39/18.77 | (434) all_14_1_16 = 0 % 50.39/18.77 | % 50.39/18.77 | Combining equations (498,493) yields a new equation: % 50.39/18.77 | (472) all_18_1_22 = 0 % 50.39/18.77 | % 50.39/18.77 | Combining equations (499,495) yields a new equation: % 50.39/18.77 | (504) all_20_1_25 = 0 % 50.39/18.77 | % 50.39/18.77 | Combining equations (499,489) yields a new equation: % 50.39/18.77 | (505) all_22_3_30 = 0 % 50.39/18.77 | % 50.39/18.77 | Combining equations (498,483) yields a new equation: % 50.39/18.77 | (506) all_22_2_29 = 0 % 50.39/18.77 | % 50.39/18.77 | Combining equations (505,486) yields a new equation: % 50.39/18.77 | (507) all_24_1_33 = 0 % 50.39/18.77 | % 50.39/18.77 | Combining equations (491,362) yields a new equation: % 50.39/18.77 | (508) all_26_8_43 = all_20_2_26 % 50.39/18.77 | % 50.39/18.77 | Combining equations (505,393) yields a new equation: % 50.39/18.77 | (509) all_26_7_42 = 0 % 50.39/18.77 | % 50.39/18.77 | Combining equations (506,465) yields a new equation: % 50.39/18.77 | (510) all_26_6_41 = 0 % 50.39/18.77 | % 50.39/18.77 | Combining equations (507,467) yields a new equation: % 50.39/18.77 | (511) all_28_1_45 = 0 % 50.39/18.77 | % 50.39/18.77 | Combining equations (475,354) yields a new equation: % 50.39/18.77 | (355) all_30_2_49 = all_18_2_23 % 50.39/18.77 | % 50.39/18.77 | Combining equations (472,460) yields a new equation: % 50.39/18.77 | (461) all_30_1_48 = 0 % 50.39/18.77 | % 50.39/18.77 | Combining equations (500,458) yields a new equation: % 50.39/18.77 | (514) all_32_4_54 = 0 % 50.39/18.77 | % 50.39/18.77 | Combining equations (511,456) yields a new equation: % 50.39/18.77 | (515) all_32_3_53 = 0 % 50.39/18.77 | % 50.39/18.77 | Combining equations (506,446) yields a new equation: % 50.39/18.77 | (516) all_32_2_52 = 0 % 50.39/18.77 | % 50.39/18.77 | Combining equations (461,377) yields a new equation: % 50.39/18.77 | (375) all_34_1_56 = 0 % 50.39/18.77 | % 50.39/18.77 | Combining equations (500,454) yields a new equation: % 50.39/18.77 | (518) all_36_2_60 = 0 % 50.39/18.77 | % 50.39/18.77 | Combining equations (511,452) yields a new equation: % 50.39/18.77 | (519) all_36_1_59 = 0 % 50.39/18.77 | % 50.39/18.77 | Combining equations (518,450) yields a new equation: % 50.39/18.77 | (520) all_38_2_63 = 0 % 50.39/18.77 | % 50.39/18.77 | Combining equations (511,448) yields a new equation: % 50.39/18.77 | (521) all_38_1_62 = 0 % 50.39/18.77 | % 50.39/18.77 | Combining equations (438,352) yields a new equation: % 50.39/18.77 | (351) all_42_4_77 = all_0_11_11 % 50.39/18.77 | % 50.39/18.77 | From (340) and (231) follows: % 50.39/18.77 | (28) isPrime0(xr) = 0 % 50.39/18.77 | % 50.39/18.77 | From (343) and (230) follows: % 50.39/18.77 | (32) doDivides0(xr, xn) = 0 % 50.39/18.77 | % 50.39/18.77 | From (351) and (227) follows: % 50.39/18.77 | (525) sdtpldt0(all_0_11_11, xr) = all_42_3_76 % 50.39/18.77 | % 50.39/18.77 | From (438) and (218) follows: % 50.39/18.77 | (526) sdtpldt0(all_0_11_11, xp) = all_40_3_67 % 50.39/18.77 | % 50.39/18.77 | From (349) and (175) follows: % 50.39/18.77 | (527) sdtpldt0(all_0_3_3, xp) = all_26_3_38 % 50.39/18.77 | % 50.39/18.77 | From (350) and (198) follows: % 50.39/18.77 | (162) sdtpldt0(xm, xp) = all_22_1_28 % 50.39/18.77 | % 50.39/18.77 | From (350) and (199) follows: % 50.39/18.77 | (529) sdtpldt0(xn, all_22_1_28) = all_32_0_50 % 50.39/18.77 | % 50.39/18.77 | From (438) and (220) follows: % 50.39/18.77 | (60) sdtpldt0(xn, xm) = all_0_11_11 % 50.39/18.77 | % 50.39/18.77 | From (353) and (263) follows: % 50.39/18.77 | (151) aNaturalNumber0(all_0_2_2) = all_18_0_21 % 50.39/18.77 | % 50.39/18.77 | From (491) and (164) follows: % 50.39/18.77 | (157) aNaturalNumber0(all_0_5_5) = all_20_2_26 % 50.39/18.77 | % 50.39/18.77 | From (413) and (282) follows: % 50.39/18.77 | (206) aNaturalNumber0(all_0_9_9) = all_36_0_58 % 50.39/18.77 | % 50.39/18.77 | From (366) and (264) follows: % 50.39/18.77 | (201) aNaturalNumber0(all_0_10_10) = all_34_0_55 % 50.39/18.77 | % 50.39/18.77 | From (369) and (236) follows: % 50.39/18.77 | (92) aNaturalNumber0(xr) = 0 % 50.39/18.77 | % 50.39/18.77 | From (498) and (148) follows: % 50.39/18.77 | (23) aNaturalNumber0(xp) = 0 % 50.39/18.77 | % 50.39/18.77 | From (499) and (137) follows: % 50.39/18.77 | (47) aNaturalNumber0(xm) = 0 % 50.39/18.77 | % 50.39/18.77 | From (500) and (138) follows: % 50.39/18.77 | (39) aNaturalNumber0(xn) = 0 % 50.39/18.77 | % 50.39/18.77 +-Applying beta-rule and splitting (139), into two cases. % 50.39/18.77 |-Branch one: % 50.39/18.77 | (539) ~ (all_12_1_13 = 0) % 50.39/18.77 | % 50.39/18.77 | Equations (499) can reduce 539 to: % 50.39/18.77 | (248) $false % 50.39/18.77 | % 50.39/18.77 |-The branch is then unsatisfiable % 50.39/18.77 |-Branch two: % 50.39/18.77 | (499) all_12_1_13 = 0 % 50.39/18.77 | (542) ~ (all_12_2_14 = 0) | all_12_0_12 = 0 % 50.39/18.77 | % 50.39/18.77 +-Applying beta-rule and splitting (542), into two cases. % 50.39/18.77 |-Branch one: % 50.39/18.77 | (543) ~ (all_12_2_14 = 0) % 50.39/18.77 | % 50.39/18.77 | Equations (500) can reduce 543 to: % 50.39/18.77 | (248) $false % 50.39/18.77 | % 50.39/18.77 |-The branch is then unsatisfiable % 50.39/18.77 |-Branch two: % 50.39/18.77 | (500) all_12_2_14 = 0 % 50.39/18.77 | (546) all_12_0_12 = 0 % 50.39/18.77 | % 50.39/18.77 | Combining equations (546,463) yields a new equation: % 50.39/18.77 | (547) all_16_2_20 = 0 % 50.39/18.77 | % 50.39/18.77 | Combining equations (546,368) yields a new equation: % 50.39/18.77 | (548) all_34_2_57 = 0 % 50.39/18.77 | % 50.39/18.77 +-Applying beta-rule and splitting (214), into two cases. % 50.39/18.77 |-Branch one: % 50.39/18.77 | (549) ~ (all_38_1_62 = 0) % 50.39/18.77 | % 50.39/18.77 | Equations (521) can reduce 549 to: % 50.39/18.77 | (248) $false % 50.39/18.77 | % 50.39/18.77 |-The branch is then unsatisfiable % 50.39/18.77 |-Branch two: % 50.39/18.77 | (521) all_38_1_62 = 0 % 50.39/18.77 | (552) ~ (all_38_2_63 = 0) | all_38_0_61 = all_0_9_9 % 50.39/18.77 | % 50.39/18.77 +-Applying beta-rule and splitting (194), into two cases. % 50.39/18.77 |-Branch one: % 50.39/18.77 | (553) ~ (all_32_2_52 = 0) % 50.39/18.77 | % 50.39/18.77 | Equations (516) can reduce 553 to: % 50.39/18.77 | (248) $false % 50.39/18.77 | % 50.39/18.77 |-The branch is then unsatisfiable % 50.39/18.77 |-Branch two: % 50.39/18.77 | (516) all_32_2_52 = 0 % 50.39/18.77 | (556) ~ (all_32_3_53 = 0) | ~ (all_32_4_54 = 0) | all_32_0_50 = all_0_10_10 % 50.39/18.77 | % 50.39/18.77 +-Applying beta-rule and splitting (209), into two cases. % 50.39/18.77 |-Branch one: % 50.39/18.77 | (557) ~ (all_36_1_59 = 0) % 50.39/18.77 | % 50.39/18.77 | Equations (519) can reduce 557 to: % 50.39/18.77 | (248) $false % 50.39/18.77 | % 50.39/18.77 |-The branch is then unsatisfiable % 50.39/18.77 |-Branch two: % 50.39/18.77 | (519) all_36_1_59 = 0 % 50.39/18.77 | (560) ~ (all_36_2_60 = 0) | all_36_0_58 = 0 % 50.39/18.77 | % 50.39/18.77 +-Applying beta-rule and splitting (560), into two cases. % 50.39/18.77 |-Branch one: % 50.39/18.77 | (561) ~ (all_36_2_60 = 0) % 50.39/18.77 | % 50.39/18.77 | Equations (518) can reduce 561 to: % 50.39/18.77 | (248) $false % 50.39/18.77 | % 50.39/18.77 |-The branch is then unsatisfiable % 50.39/18.77 |-Branch two: % 50.39/18.77 | (518) all_36_2_60 = 0 % 50.39/18.77 | (564) all_36_0_58 = 0 % 50.39/18.77 | % 50.39/18.77 | From (564) and (206) follows: % 50.39/18.77 | (565) aNaturalNumber0(all_0_9_9) = 0 % 50.39/18.77 | % 50.39/18.77 +-Applying beta-rule and splitting (238), into two cases. % 50.39/18.77 |-Branch one: % 50.39/18.77 | (566) all_49_0_97 = xp & all_49_1_98 = 0 & sdtpldt0(xm, all_49_2_99) = xp & aNaturalNumber0(all_49_2_99) = 0 % 50.39/18.77 | % 50.39/18.77 | Applying alpha-rule on (566) yields: % 50.39/18.77 | (567) all_49_0_97 = xp % 50.39/18.77 | (568) all_49_1_98 = 0 % 50.39/18.77 | (569) sdtpldt0(xm, all_49_2_99) = xp % 50.39/18.77 | (570) aNaturalNumber0(all_49_2_99) = 0 % 50.39/18.77 | % 50.39/18.77 +-Applying beta-rule and splitting (239), into two cases. % 50.39/18.77 |-Branch one: % 50.39/18.77 | (571) all_51_0_103 = xn & all_51_1_104 = 0 & sdtasdt0(xr, all_51_2_105) = xn & aNaturalNumber0(all_51_2_105) = 0 % 50.39/18.77 | % 50.39/18.77 | Applying alpha-rule on (571) yields: % 50.39/18.77 | (572) all_51_0_103 = xn % 50.39/18.77 | (573) all_51_1_104 = 0 % 50.39/18.77 | (574) sdtasdt0(xr, all_51_2_105) = xn % 50.39/18.77 | (575) aNaturalNumber0(all_51_2_105) = 0 % 50.39/18.77 | % 50.39/18.77 +-Applying beta-rule and splitting (149), into two cases. % 50.39/18.77 |-Branch one: % 50.39/18.78 | (576) ~ (all_16_1_19 = 0) % 50.39/18.78 | % 50.39/18.78 | Equations (498) can reduce 576 to: % 50.39/18.78 | (248) $false % 50.39/18.78 | % 50.39/18.78 |-The branch is then unsatisfiable % 50.39/18.78 |-Branch two: % 50.39/18.78 | (498) all_16_1_19 = 0 % 50.39/18.78 | (579) ~ (all_16_2_20 = 0) | all_16_0_18 = all_0_10_10 % 50.39/18.78 | % 50.39/18.78 +-Applying beta-rule and splitting (348), into two cases. % 50.39/18.78 |-Branch one: % 50.39/18.78 | (580) ~ (sdtpldt0(all_0_3_3, xp) = all_26_3_38) % 50.39/18.78 | % 50.39/18.78 | Using (527) and (580) yields: % 50.39/18.78 | (581) $false % 50.39/18.78 | % 50.39/18.78 |-The branch is then unsatisfiable % 50.39/18.78 |-Branch two: % 50.39/18.78 | (527) sdtpldt0(all_0_3_3, xp) = all_26_3_38 % 50.39/18.78 | (583) all_26_3_38 = all_0_2_2 % 50.39/18.78 | % 50.39/18.78 | From (583) and (182) follows: % 50.39/18.78 | (584) iLess0(all_0_2_2, all_0_10_10) = all_26_2_37 % 50.39/18.78 | % 50.39/18.78 +-Applying beta-rule and splitting (204), into two cases. % 50.39/18.78 |-Branch one: % 50.39/18.78 | (585) ~ (all_34_1_56 = 0) % 50.39/18.78 | % 50.39/18.78 | Equations (375) can reduce 585 to: % 50.39/18.78 | (248) $false % 50.39/18.78 | % 50.39/18.78 |-The branch is then unsatisfiable % 50.39/18.78 |-Branch two: % 50.39/18.78 | (375) all_34_1_56 = 0 % 50.39/18.78 | (588) ~ (all_34_2_57 = 0) | all_34_0_55 = 0 % 50.39/18.78 | % 50.39/18.78 +-Applying beta-rule and splitting (588), into two cases. % 50.39/18.78 |-Branch one: % 50.39/18.78 | (589) ~ (all_34_2_57 = 0) % 50.39/18.78 | % 50.39/18.78 | Equations (548) can reduce 589 to: % 50.39/18.78 | (248) $false % 50.39/18.78 | % 50.39/18.78 |-The branch is then unsatisfiable % 50.39/18.78 |-Branch two: % 50.39/18.78 | (548) all_34_2_57 = 0 % 50.39/18.78 | (592) all_34_0_55 = 0 % 50.39/18.78 | % 50.39/18.78 | From (592) and (201) follows: % 50.39/18.78 | (593) aNaturalNumber0(all_0_10_10) = 0 % 50.39/18.78 | % 50.39/18.78 +-Applying beta-rule and splitting (579), into two cases. % 50.39/18.78 |-Branch one: % 50.39/18.78 | (594) ~ (all_16_2_20 = 0) % 50.39/18.78 | % 50.39/18.78 | Equations (547) can reduce 594 to: % 50.39/18.78 | (248) $false % 50.39/18.78 | % 50.39/18.78 |-The branch is then unsatisfiable % 50.39/18.78 |-Branch two: % 50.39/18.78 | (547) all_16_2_20 = 0 % 50.39/18.78 | (597) all_16_0_18 = all_0_10_10 % 50.39/18.78 | % 50.39/18.78 | From (597) and (146) follows: % 50.39/18.78 | (598) sdtpldt0(xp, all_0_11_11) = all_0_10_10 % 50.39/18.78 | % 50.39/18.78 +-Applying beta-rule and splitting (241), into two cases. % 50.39/18.78 |-Branch one: % 50.39/18.78 | (599) all_54_0_112 = all_0_9_9 & all_54_1_113 = 0 & sdtasdt0(xp, all_54_2_114) = all_0_9_9 & aNaturalNumber0(all_54_2_114) = 0 % 50.39/18.78 | % 50.39/18.78 | Applying alpha-rule on (599) yields: % 50.39/18.78 | (600) all_54_0_112 = all_0_9_9 % 50.39/18.78 | (601) all_54_1_113 = 0 % 50.39/18.78 | (602) sdtasdt0(xp, all_54_2_114) = all_0_9_9 % 50.39/18.78 | (603) aNaturalNumber0(all_54_2_114) = 0 % 50.39/18.78 | % 50.77/18.78 +-Applying beta-rule and splitting (556), into two cases. % 50.77/18.78 |-Branch one: % 50.77/18.78 | (604) ~ (all_32_3_53 = 0) % 50.77/18.78 | % 50.77/18.78 | Equations (515) can reduce 604 to: % 50.77/18.78 | (248) $false % 50.77/18.78 | % 50.77/18.78 |-The branch is then unsatisfiable % 50.77/18.78 |-Branch two: % 50.77/18.78 | (515) all_32_3_53 = 0 % 50.77/18.78 | (607) ~ (all_32_4_54 = 0) | all_32_0_50 = all_0_10_10 % 50.77/18.78 | % 50.77/18.78 +-Applying beta-rule and splitting (552), into two cases. % 50.77/18.78 |-Branch one: % 50.77/18.78 | (608) ~ (all_38_2_63 = 0) % 50.77/18.78 | % 50.77/18.78 | Equations (520) can reduce 608 to: % 50.77/18.78 | (248) $false % 50.77/18.78 | % 50.77/18.78 |-The branch is then unsatisfiable % 50.77/18.78 |-Branch two: % 50.77/18.78 | (520) all_38_2_63 = 0 % 50.77/18.78 | (611) all_38_0_61 = all_0_9_9 % 50.77/18.78 | % 50.77/18.78 | From (611) and (211) follows: % 50.77/18.78 | (612) sdtasdt0(xm, xn) = all_0_9_9 % 50.77/18.78 | % 50.77/18.78 +-Applying beta-rule and splitting (607), into two cases. % 50.77/18.78 |-Branch one: % 50.77/18.78 | (613) ~ (all_32_4_54 = 0) % 50.77/18.78 | % 50.77/18.78 | Equations (514) can reduce 613 to: % 50.77/18.78 | (248) $false % 50.77/18.78 | % 50.77/18.78 |-The branch is then unsatisfiable % 50.77/18.78 |-Branch two: % 50.77/18.78 | (514) all_32_4_54 = 0 % 50.77/18.78 | (616) all_32_0_50 = all_0_10_10 % 50.77/18.78 | % 50.77/18.78 | From (616) and (529) follows: % 50.77/18.78 | (617) sdtpldt0(xn, all_22_1_28) = all_0_10_10 % 50.77/18.78 | % 50.77/18.78 +-Applying beta-rule and splitting (240), into two cases. % 50.77/18.78 |-Branch one: % 50.77/18.78 | (618) all_53_0_109 = all_0_9_9 & all_53_1_110 = 0 & sdtasdt0(xr, all_53_2_111) = all_0_9_9 & aNaturalNumber0(all_53_2_111) = 0 % 50.77/18.78 | % 50.77/18.78 | Applying alpha-rule on (618) yields: % 50.77/18.78 | (619) all_53_0_109 = all_0_9_9 % 50.77/18.78 | (620) all_53_1_110 = 0 % 50.77/18.78 | (621) sdtasdt0(xr, all_53_2_111) = all_0_9_9 % 50.77/18.78 | (622) aNaturalNumber0(all_53_2_111) = 0 % 50.77/18.78 | % 50.77/18.78 +-Applying beta-rule and splitting (144), into two cases. % 50.77/18.78 |-Branch one: % 50.77/18.78 | (623) ~ (all_14_1_16 = 0) % 50.77/18.78 | % 50.77/18.78 | Equations (434) can reduce 623 to: % 50.77/18.78 | (248) $false % 50.77/18.78 | % 50.77/18.78 |-The branch is then unsatisfiable % 50.77/18.78 |-Branch two: % 50.77/18.78 | (434) all_14_1_16 = 0 % 50.77/18.78 | (626) ~ (all_14_2_17 = 0) | all_14_0_15 = all_0_11_11 % 50.77/18.78 | % 50.77/18.78 +-Applying beta-rule and splitting (237), into two cases. % 50.77/18.78 |-Branch one: % 50.77/18.78 | (627) all_46_0_88 = xp & all_46_1_89 = 0 & sdtpldt0(xn, all_46_2_90) = xp & aNaturalNumber0(all_46_2_90) = 0 % 50.77/18.78 | % 50.77/18.78 | Applying alpha-rule on (627) yields: % 50.77/18.78 | (628) all_46_0_88 = xp % 50.77/18.78 | (629) all_46_1_89 = 0 % 50.77/18.78 | (630) sdtpldt0(xn, all_46_2_90) = xp % 50.77/18.78 | (631) aNaturalNumber0(all_46_2_90) = 0 % 50.77/18.78 | % 50.77/18.78 +-Applying beta-rule and splitting (347), into two cases. % 50.77/18.78 |-Branch one: % 50.77/18.78 | (632) ~ (sdtpldt0(all_0_11_11, xp) = all_40_3_67) % 50.77/18.78 | % 50.77/18.78 | Using (526) and (632) yields: % 50.77/18.78 | (581) $false % 50.77/18.78 | % 50.77/18.78 |-The branch is then unsatisfiable % 50.77/18.78 |-Branch two: % 50.77/18.78 | (526) sdtpldt0(all_0_11_11, xp) = all_40_3_67 % 50.77/18.78 | (635) all_40_3_67 = all_0_10_10 % 50.77/18.78 | % 50.77/18.78 | From (635) and (526) follows: % 50.77/18.78 | (54) sdtpldt0(all_0_11_11, xp) = all_0_10_10 % 50.77/18.78 | % 50.77/18.78 +-Applying beta-rule and splitting (626), into two cases. % 50.77/18.78 |-Branch one: % 50.77/18.78 | (637) ~ (all_14_2_17 = 0) % 50.77/18.78 | % 50.77/18.78 | Equations (403) can reduce 637 to: % 50.77/18.78 | (248) $false % 50.77/18.78 | % 50.77/18.78 |-The branch is then unsatisfiable % 50.77/18.78 |-Branch two: % 50.77/18.78 | (403) all_14_2_17 = 0 % 50.77/18.78 | (640) all_14_0_15 = all_0_11_11 % 50.77/18.78 | % 50.77/18.78 | From (640) and (141) follows: % 50.77/18.78 | (641) sdtpldt0(xm, xn) = all_0_11_11 % 50.77/18.78 | % 50.77/18.78 | Instantiating formula (50) with all_103_0_143, xr and discharging atoms isPrime0(xr) = 0, doDivides0(all_103_0_143, xr) = 0, yields: % 50.77/18.78 | (642) all_103_0_143 = xr | all_103_0_143 = sz10 | ? [v0] : (( ~ (v0 = 0) & aNaturalNumber0(all_103_0_143) = v0) | ( ~ (v0 = 0) & aNaturalNumber0(xr) = v0)) % 50.77/18.78 | % 50.77/18.78 | Instantiating formula (41) with all_26_2_37, all_0_10_10, all_0_2_2 and discharging atoms iLess0(all_0_2_2, all_0_10_10) = all_26_2_37, yields: % 50.77/18.78 | (643) all_26_2_37 = 0 | all_0_2_2 = all_0_10_10 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_0_2_2, all_0_10_10) = v2 & aNaturalNumber0(all_0_2_2) = v0 & aNaturalNumber0(all_0_10_10) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 50.77/18.78 | % 50.77/18.78 | Instantiating formula (81) with all_0_9_9, xr, all_53_2_111, xr and discharging atoms doDivides0(xr, all_0_9_9) = 0, sdtasdt0(xr, all_53_2_111) = all_0_9_9, yields: % 50.77/18.78 | (644) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(xr) = v3 & doDivides0(xr, all_53_2_111) = v8 & doDivides0(xr, xr) = v7 & iLess0(v5, all_0_10_10) = v6 & sdtpldt0(v4, xr) = v5 & sdtpldt0(xr, all_53_2_111) = v4 & aNaturalNumber0(all_53_2_111) = v1 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xr) = v0 & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0)) % 50.77/18.78 | % 50.77/18.78 | Instantiating formula (81) with all_0_9_9, xp, all_53_2_111, xr and discharging atoms doDivides0(xp, all_0_9_9) = 0, sdtasdt0(xr, all_53_2_111) = all_0_9_9, yields: % 50.77/18.78 | (645) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(xp) = v3 & doDivides0(xp, all_53_2_111) = v8 & doDivides0(xp, xr) = v7 & iLess0(v5, all_0_10_10) = v6 & sdtpldt0(v4, xp) = v5 & sdtpldt0(xr, all_53_2_111) = v4 & aNaturalNumber0(all_53_2_111) = v1 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xp) = v2 & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0)) % 50.77/18.78 | % 50.77/18.78 | Instantiating formula (15) with all_0_9_9, all_53_2_111, xr and discharging atoms sdtasdt0(xr, all_53_2_111) = all_0_9_9, yields: % 50.77/18.78 | (646) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_53_2_111, xr) = v2 & aNaturalNumber0(all_53_2_111) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_9_9)) % 50.77/18.78 | % 50.77/18.78 | Instantiating formula (29) with all_51_2_105, all_0_5_5, xn, xr and discharging atoms sdtsldt0(xn, xr) = all_0_5_5, sdtasdt0(xr, all_51_2_105) = xn, yields: % 50.77/18.78 | (647) all_51_2_105 = all_0_5_5 | xr = sz00 | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & aNaturalNumber0(all_51_2_105) = v0) | (doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))) % 50.77/18.78 | % 50.77/18.78 | Instantiating formula (44) with all_0_9_9, xn, xm, all_51_2_105, xr and discharging atoms sdtasdt0(xr, all_51_2_105) = xn, sdtasdt0(xn, xm) = all_0_9_9, yields: % 50.77/18.78 | (648) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_51_2_105, xm) = v3 & sdtasdt0(xr, v3) = v4 & aNaturalNumber0(all_51_2_105) = v1 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xm) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_9_9)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (81) with xn, xr, all_51_2_105, xr and discharging atoms doDivides0(xr, xn) = 0, sdtasdt0(xr, all_51_2_105) = xn, yields: % 50.77/18.79 | (649) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(xr) = v3 & doDivides0(xr, all_51_2_105) = v8 & doDivides0(xr, xr) = v7 & iLess0(v5, all_0_10_10) = v6 & sdtpldt0(v4, xr) = v5 & sdtpldt0(xr, all_51_2_105) = v4 & aNaturalNumber0(all_51_2_105) = v1 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xr) = v0 & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (15) with xn, all_51_2_105, xr and discharging atoms sdtasdt0(xr, all_51_2_105) = xn, yields: % 50.77/18.79 | (650) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_51_2_105, xr) = v2 & aNaturalNumber0(all_51_2_105) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xn)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (81) with all_0_9_9, xr, all_54_2_114, xp and discharging atoms doDivides0(xr, all_0_9_9) = 0, sdtasdt0(xp, all_54_2_114) = all_0_9_9, yields: % 50.77/18.79 | (651) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(xr) = v3 & doDivides0(xr, all_54_2_114) = v8 & doDivides0(xr, xp) = v7 & iLess0(v5, all_0_10_10) = v6 & sdtpldt0(v4, xr) = v5 & sdtpldt0(xp, all_54_2_114) = v4 & aNaturalNumber0(all_54_2_114) = v1 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xp) = v0 & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (81) with all_0_9_9, xp, all_54_2_114, xp and discharging atoms doDivides0(xp, all_0_9_9) = 0, sdtasdt0(xp, all_54_2_114) = all_0_9_9, yields: % 50.77/18.79 | (652) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(xp) = v3 & doDivides0(xp, all_54_2_114) = v8 & doDivides0(xp, xp) = v7 & iLess0(v5, all_0_10_10) = v6 & sdtpldt0(v4, xp) = v5 & sdtpldt0(xp, all_54_2_114) = v4 & aNaturalNumber0(all_54_2_114) = v1 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xp) = v0 & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (15) with all_0_9_9, all_54_2_114, xp and discharging atoms sdtasdt0(xp, all_54_2_114) = all_0_9_9, yields: % 50.77/18.79 | (653) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_54_2_114, xp) = v2 & aNaturalNumber0(all_54_2_114) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_9_9)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (15) with all_24_0_32, all_0_5_5, xm and discharging atoms sdtasdt0(xm, all_0_5_5) = all_24_0_32, yields: % 50.77/18.79 | (654) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_0_5_5, xm) = v2 & aNaturalNumber0(all_0_5_5) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_24_0_32)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (8) with all_24_0_32, all_0_5_5, xm and discharging atoms sdtasdt0(xm, all_0_5_5) = all_24_0_32, yields: % 50.77/18.79 | (655) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_24_0_32) = v2 & aNaturalNumber0(all_0_5_5) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (81) with all_0_9_9, xp, xn, xm and discharging atoms doDivides0(xp, all_0_9_9) = 0, sdtasdt0(xm, xn) = all_0_9_9, yields: % 50.77/18.79 | (656) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (isPrime0(xp) = v3 & doDivides0(xp, xm) = v7 & doDivides0(xp, xn) = v8 & iLess0(v5, all_0_10_10) = v6 & sdtpldt0(v4, xp) = v5 & sdtpldt0(xm, xn) = v4 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v8 = 0 | v7 = 0)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (48) with all_22_0_27, all_22_1_28, all_0_5_5 and discharging atoms sdtpldt0(all_0_5_5, all_22_1_28) = all_22_0_27, yields: % 50.77/18.79 | (657) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_22_1_28, all_0_5_5) = v2 & aNaturalNumber0(all_22_1_28) = v1 & aNaturalNumber0(all_0_5_5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_22_0_27)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (24) with all_22_0_27, all_22_1_28, all_0_5_5 and discharging atoms sdtpldt0(all_0_5_5, all_22_1_28) = all_22_0_27, yields: % 50.77/18.79 | (658) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_22_0_27) = v2 & aNaturalNumber0(all_22_1_28) = v1 & aNaturalNumber0(all_0_5_5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (64) with all_42_3_76, all_0_11_11, xr, xm, xn and discharging atoms sdtpldt0(all_0_11_11, xr) = all_42_3_76, sdtpldt0(xn, xm) = all_0_11_11, yields: % 50.77/18.79 | (659) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(xm, xr) = v3 & sdtpldt0(xn, v3) = v4 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_42_3_76)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (48) with all_42_3_76, xr, all_0_11_11 and discharging atoms sdtpldt0(all_0_11_11, xr) = all_42_3_76, yields: % 50.77/18.79 | (660) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(xr, all_0_11_11) = v2 & aNaturalNumber0(all_0_11_11) = v0 & aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_42_3_76)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (24) with all_42_3_76, xr, all_0_11_11 and discharging atoms sdtpldt0(all_0_11_11, xr) = all_42_3_76, yields: % 50.77/18.79 | (661) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_42_3_76) = v2 & aNaturalNumber0(all_0_11_11) = v0 & aNaturalNumber0(xr) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (48) with all_30_0_47, all_0_3_3, xp and discharging atoms sdtpldt0(xp, all_0_3_3) = all_30_0_47, yields: % 50.77/18.79 | (662) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_0_3_3, xp) = v2 & aNaturalNumber0(all_0_3_3) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_30_0_47)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (24) with all_30_0_47, all_0_3_3, xp and discharging atoms sdtpldt0(xp, all_0_3_3) = all_30_0_47, yields: % 50.77/18.79 | (663) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_30_0_47) = v2 & aNaturalNumber0(all_0_3_3) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (37) with xp, all_49_2_99, xm, all_108_0_144 and discharging atoms doDivides0(all_108_0_144, xp) = 0, sdtpldt0(xm, all_49_2_99) = xp, yields: % 50.77/18.79 | (664) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(all_108_0_144, all_49_2_99) = v4 & doDivides0(all_108_0_144, xm) = v3 & aNaturalNumber0(all_108_0_144) = v0 & aNaturalNumber0(all_49_2_99) = v2 & aNaturalNumber0(xm) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (64) with all_30_0_47, xp, all_0_3_3, all_49_2_99, xm and discharging atoms sdtpldt0(xp, all_0_3_3) = all_30_0_47, sdtpldt0(xm, all_49_2_99) = xp, yields: % 50.77/18.79 | (665) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_49_2_99, all_0_3_3) = v3 & sdtpldt0(xm, v3) = v4 & aNaturalNumber0(all_49_2_99) = v1 & aNaturalNumber0(all_0_3_3) = v2 & aNaturalNumber0(xm) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_30_0_47)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (64) with all_0_10_10, xp, all_0_11_11, all_49_2_99, xm and discharging atoms sdtpldt0(xp, all_0_11_11) = all_0_10_10, sdtpldt0(xm, all_49_2_99) = xp, yields: % 50.77/18.79 | (666) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_49_2_99, all_0_11_11) = v3 & sdtpldt0(xm, v3) = v4 & aNaturalNumber0(all_49_2_99) = v1 & aNaturalNumber0(all_0_11_11) = v2 & aNaturalNumber0(xm) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_10_10)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (48) with xp, all_49_2_99, xm and discharging atoms sdtpldt0(xm, all_49_2_99) = xp, yields: % 50.77/18.79 | (667) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_49_2_99, xm) = v2 & aNaturalNumber0(all_49_2_99) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xp)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (48) with all_28_0_44, all_0_5_5, xm and discharging atoms sdtpldt0(xm, all_0_5_5) = all_28_0_44, yields: % 50.77/18.79 | (668) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_0_5_5, xm) = v2 & aNaturalNumber0(all_0_5_5) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_28_0_44)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (24) with all_28_0_44, all_0_5_5, xm and discharging atoms sdtpldt0(xm, all_0_5_5) = all_28_0_44, yields: % 50.77/18.79 | (669) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_28_0_44) = v2 & aNaturalNumber0(all_0_5_5) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (48) with all_22_1_28, xp, xm and discharging atoms sdtpldt0(xm, xp) = all_22_1_28, yields: % 50.77/18.79 | (670) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(xp, xm) = v2 & aNaturalNumber0(xp) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_22_1_28)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (24) with all_22_1_28, xp, xm and discharging atoms sdtpldt0(xm, xp) = all_22_1_28, yields: % 50.77/18.79 | (671) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_22_1_28) = v2 & aNaturalNumber0(xp) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (64) with all_0_10_10, all_0_11_11, xp, xn, xm and discharging atoms sdtpldt0(all_0_11_11, xp) = all_0_10_10, sdtpldt0(xm, xn) = all_0_11_11, yields: % 50.77/18.79 | (672) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(xm, v3) = v4 & sdtpldt0(xn, xp) = v3 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_10_10)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (64) with all_42_3_76, all_0_11_11, xr, xn, xm and discharging atoms sdtpldt0(all_0_11_11, xr) = all_42_3_76, sdtpldt0(xm, xn) = all_0_11_11, yields: % 50.77/18.79 | (673) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(xm, v3) = v4 & sdtpldt0(xn, xr) = v3 & aNaturalNumber0(xr) = v2 & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_42_3_76)) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (66) with all_0_11_11, all_22_1_28, xn, xp, xm and discharging atoms sdtpldt0(xm, xp) = all_22_1_28, sdtpldt0(xm, xn) = all_0_11_11, yields: % 50.77/18.79 | (674) xp = xn | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(xp, xm) = v3 & sdtpldt0(xn, xm) = v4 & aNaturalNumber0(xp) = v1 & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v4 = v3) & ~ (all_22_1_28 = all_0_11_11)))) % 50.77/18.79 | % 50.77/18.79 | Instantiating formula (37) with xp, all_46_2_90, xn, all_108_0_144 and discharging atoms doDivides0(all_108_0_144, xp) = 0, sdtpldt0(xn, all_46_2_90) = xp, yields: % 50.77/18.79 | (675) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(all_108_0_144, all_46_2_90) = v4 & doDivides0(all_108_0_144, xn) = v3 & aNaturalNumber0(all_108_0_144) = v0 & aNaturalNumber0(all_46_2_90) = v2 & aNaturalNumber0(xn) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0)) % 50.77/18.80 | % 50.77/18.80 | Instantiating formula (64) with all_30_0_47, xp, all_0_3_3, all_46_2_90, xn and discharging atoms sdtpldt0(xp, all_0_3_3) = all_30_0_47, sdtpldt0(xn, all_46_2_90) = xp, yields: % 50.77/18.80 | (676) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_46_2_90, all_0_3_3) = v3 & sdtpldt0(xn, v3) = v4 & aNaturalNumber0(all_46_2_90) = v1 & aNaturalNumber0(all_0_3_3) = v2 & aNaturalNumber0(xn) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_30_0_47)) % 50.77/18.80 | % 50.77/18.80 | Instantiating formula (64) with all_0_10_10, xp, all_0_11_11, all_46_2_90, xn and discharging atoms sdtpldt0(xp, all_0_11_11) = all_0_10_10, sdtpldt0(xn, all_46_2_90) = xp, yields: % 50.77/18.80 | (677) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_46_2_90, all_0_11_11) = v3 & sdtpldt0(xn, v3) = v4 & aNaturalNumber0(all_46_2_90) = v1 & aNaturalNumber0(all_0_11_11) = v2 & aNaturalNumber0(xn) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_10_10)) % 50.77/18.80 | % 50.77/18.80 | Instantiating formula (48) with xp, all_46_2_90, xn and discharging atoms sdtpldt0(xn, all_46_2_90) = xp, yields: % 50.77/18.80 | (678) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_46_2_90, xn) = v2 & aNaturalNumber0(all_46_2_90) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xp)) % 50.77/18.80 | % 50.77/18.80 | Instantiating formula (48) with all_0_10_10, all_22_1_28, xn and discharging atoms sdtpldt0(xn, all_22_1_28) = all_0_10_10, yields: % 50.77/18.80 | (679) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_22_1_28, xn) = v2 & aNaturalNumber0(all_22_1_28) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_10_10)) % 50.77/18.80 | % 50.77/18.80 | Instantiating formula (24) with all_0_10_10, all_22_1_28, xn and discharging atoms sdtpldt0(xn, all_22_1_28) = all_0_10_10, yields: % 50.77/18.80 | (680) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_22_1_28) = v1 & aNaturalNumber0(all_0_10_10) = v2 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 50.77/18.80 | % 50.77/18.80 | Instantiating formula (27) with all_103_0_143 and discharging atoms aNaturalNumber0(all_103_0_143) = 0, yields: % 50.77/18.80 | (681) all_103_0_143 = sz10 | all_103_0_143 = sz00 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, all_103_0_143) = 0 & aNaturalNumber0(v0) = 0) % 50.77/18.80 | % 50.77/18.80 | Instantiating (680) with all_223_0_145, all_223_1_146, all_223_2_147 yields: % 50.77/18.80 | (682) aNaturalNumber0(all_22_1_28) = all_223_1_146 & aNaturalNumber0(all_0_10_10) = all_223_0_145 & aNaturalNumber0(xn) = all_223_2_147 & ( ~ (all_223_1_146 = 0) | ~ (all_223_2_147 = 0) | all_223_0_145 = 0) % 50.77/18.80 | % 50.77/18.80 | Applying alpha-rule on (682) yields: % 50.77/18.80 | (683) aNaturalNumber0(all_22_1_28) = all_223_1_146 % 50.77/18.80 | (684) aNaturalNumber0(all_0_10_10) = all_223_0_145 % 50.77/18.80 | (685) aNaturalNumber0(xn) = all_223_2_147 % 50.77/18.80 | (686) ~ (all_223_1_146 = 0) | ~ (all_223_2_147 = 0) | all_223_0_145 = 0 % 50.77/18.80 | % 50.77/18.80 | Instantiating (679) with all_225_0_148, all_225_1_149, all_225_2_150 yields: % 50.77/18.80 | (687) sdtpldt0(all_22_1_28, xn) = all_225_0_148 & aNaturalNumber0(all_22_1_28) = all_225_1_149 & aNaturalNumber0(xn) = all_225_2_150 & ( ~ (all_225_1_149 = 0) | ~ (all_225_2_150 = 0) | all_225_0_148 = all_0_10_10) % 50.77/18.80 | % 50.77/18.80 | Applying alpha-rule on (687) yields: % 50.77/18.80 | (688) sdtpldt0(all_22_1_28, xn) = all_225_0_148 % 50.77/18.80 | (689) aNaturalNumber0(all_22_1_28) = all_225_1_149 % 50.77/18.80 | (690) aNaturalNumber0(xn) = all_225_2_150 % 50.77/18.80 | (691) ~ (all_225_1_149 = 0) | ~ (all_225_2_150 = 0) | all_225_0_148 = all_0_10_10 % 50.77/18.80 | % 50.77/18.80 | Instantiating (671) with all_227_0_151, all_227_1_152, all_227_2_153 yields: % 50.77/18.80 | (692) aNaturalNumber0(all_22_1_28) = all_227_0_151 & aNaturalNumber0(xp) = all_227_1_152 & aNaturalNumber0(xm) = all_227_2_153 & ( ~ (all_227_1_152 = 0) | ~ (all_227_2_153 = 0) | all_227_0_151 = 0) % 50.77/18.80 | % 50.77/18.80 | Applying alpha-rule on (692) yields: % 50.77/18.80 | (693) aNaturalNumber0(all_22_1_28) = all_227_0_151 % 50.77/18.80 | (694) aNaturalNumber0(xp) = all_227_1_152 % 50.77/18.80 | (695) aNaturalNumber0(xm) = all_227_2_153 % 50.77/18.80 | (696) ~ (all_227_1_152 = 0) | ~ (all_227_2_153 = 0) | all_227_0_151 = 0 % 50.77/18.80 | % 50.77/18.80 | Instantiating (670) with all_229_0_154, all_229_1_155, all_229_2_156 yields: % 50.77/18.80 | (697) sdtpldt0(xp, xm) = all_229_0_154 & aNaturalNumber0(xp) = all_229_1_155 & aNaturalNumber0(xm) = all_229_2_156 & ( ~ (all_229_1_155 = 0) | ~ (all_229_2_156 = 0) | all_229_0_154 = all_22_1_28) % 50.77/18.80 | % 50.77/18.80 | Applying alpha-rule on (697) yields: % 50.77/18.80 | (698) sdtpldt0(xp, xm) = all_229_0_154 % 50.77/18.80 | (699) aNaturalNumber0(xp) = all_229_1_155 % 50.77/18.80 | (700) aNaturalNumber0(xm) = all_229_2_156 % 50.77/18.80 | (701) ~ (all_229_1_155 = 0) | ~ (all_229_2_156 = 0) | all_229_0_154 = all_22_1_28 % 50.77/18.80 | % 50.77/18.80 | Instantiating (658) with all_231_0_157, all_231_1_158, all_231_2_159 yields: % 50.77/18.80 | (702) aNaturalNumber0(all_22_0_27) = all_231_0_157 & aNaturalNumber0(all_22_1_28) = all_231_1_158 & aNaturalNumber0(all_0_5_5) = all_231_2_159 & ( ~ (all_231_1_158 = 0) | ~ (all_231_2_159 = 0) | all_231_0_157 = 0) % 50.77/18.80 | % 50.77/18.80 | Applying alpha-rule on (702) yields: % 50.77/18.80 | (703) aNaturalNumber0(all_22_0_27) = all_231_0_157 % 50.77/18.80 | (704) aNaturalNumber0(all_22_1_28) = all_231_1_158 % 50.77/18.80 | (705) aNaturalNumber0(all_0_5_5) = all_231_2_159 % 50.77/18.80 | (706) ~ (all_231_1_158 = 0) | ~ (all_231_2_159 = 0) | all_231_0_157 = 0 % 50.77/18.80 | % 50.77/18.80 | Instantiating (657) with all_233_0_160, all_233_1_161, all_233_2_162 yields: % 50.77/18.80 | (707) sdtpldt0(all_22_1_28, all_0_5_5) = all_233_0_160 & aNaturalNumber0(all_22_1_28) = all_233_1_161 & aNaturalNumber0(all_0_5_5) = all_233_2_162 & ( ~ (all_233_1_161 = 0) | ~ (all_233_2_162 = 0) | all_233_0_160 = all_22_0_27) % 50.77/18.80 | % 50.77/18.80 | Applying alpha-rule on (707) yields: % 50.77/18.80 | (708) sdtpldt0(all_22_1_28, all_0_5_5) = all_233_0_160 % 50.77/18.80 | (709) aNaturalNumber0(all_22_1_28) = all_233_1_161 % 50.77/18.80 | (710) aNaturalNumber0(all_0_5_5) = all_233_2_162 % 50.77/18.80 | (711) ~ (all_233_1_161 = 0) | ~ (all_233_2_162 = 0) | all_233_0_160 = all_22_0_27 % 50.77/18.80 | % 50.77/18.80 | Instantiating (648) with all_235_0_163, all_235_1_164, all_235_2_165, all_235_3_166, all_235_4_167 yields: % 50.77/18.80 | (712) sdtasdt0(all_51_2_105, xm) = all_235_1_164 & sdtasdt0(xr, all_235_1_164) = all_235_0_163 & aNaturalNumber0(all_51_2_105) = all_235_3_166 & aNaturalNumber0(xr) = all_235_4_167 & aNaturalNumber0(xm) = all_235_2_165 & ( ~ (all_235_2_165 = 0) | ~ (all_235_3_166 = 0) | ~ (all_235_4_167 = 0) | all_235_0_163 = all_0_9_9) % 50.77/18.80 | % 50.77/18.80 | Applying alpha-rule on (712) yields: % 50.77/18.80 | (713) aNaturalNumber0(xm) = all_235_2_165 % 50.77/18.80 | (714) sdtasdt0(xr, all_235_1_164) = all_235_0_163 % 50.77/18.80 | (715) sdtasdt0(all_51_2_105, xm) = all_235_1_164 % 50.77/18.80 | (716) ~ (all_235_2_165 = 0) | ~ (all_235_3_166 = 0) | ~ (all_235_4_167 = 0) | all_235_0_163 = all_0_9_9 % 50.77/18.80 | (717) aNaturalNumber0(all_51_2_105) = all_235_3_166 % 50.77/18.80 | (718) aNaturalNumber0(xr) = all_235_4_167 % 50.77/18.80 | % 50.77/18.80 | Instantiating (646) with all_237_0_168, all_237_1_169, all_237_2_170 yields: % 50.77/18.80 | (719) sdtasdt0(all_53_2_111, xr) = all_237_0_168 & aNaturalNumber0(all_53_2_111) = all_237_1_169 & aNaturalNumber0(xr) = all_237_2_170 & ( ~ (all_237_1_169 = 0) | ~ (all_237_2_170 = 0) | all_237_0_168 = all_0_9_9) % 50.77/18.80 | % 50.77/18.80 | Applying alpha-rule on (719) yields: % 50.77/18.80 | (720) sdtasdt0(all_53_2_111, xr) = all_237_0_168 % 50.77/18.80 | (721) aNaturalNumber0(all_53_2_111) = all_237_1_169 % 50.77/18.80 | (722) aNaturalNumber0(xr) = all_237_2_170 % 50.77/18.80 | (723) ~ (all_237_1_169 = 0) | ~ (all_237_2_170 = 0) | all_237_0_168 = all_0_9_9 % 50.77/18.80 | % 50.77/18.80 | Instantiating (655) with all_239_0_171, all_239_1_172, all_239_2_173 yields: % 50.77/18.80 | (724) aNaturalNumber0(all_24_0_32) = all_239_0_171 & aNaturalNumber0(all_0_5_5) = all_239_1_172 & aNaturalNumber0(xm) = all_239_2_173 & ( ~ (all_239_1_172 = 0) | ~ (all_239_2_173 = 0) | all_239_0_171 = 0) % 50.77/18.80 | % 50.77/18.80 | Applying alpha-rule on (724) yields: % 50.77/18.80 | (725) aNaturalNumber0(all_24_0_32) = all_239_0_171 % 50.77/18.80 | (726) aNaturalNumber0(all_0_5_5) = all_239_1_172 % 50.77/18.80 | (727) aNaturalNumber0(xm) = all_239_2_173 % 50.77/18.80 | (728) ~ (all_239_1_172 = 0) | ~ (all_239_2_173 = 0) | all_239_0_171 = 0 % 50.77/18.80 | % 50.77/18.80 | Instantiating (652) with all_241_0_174, all_241_1_175, all_241_2_176, all_241_3_177, all_241_4_178, all_241_5_179, all_241_6_180, all_241_7_181, all_241_8_182 yields: % 50.77/18.80 | (729) isPrime0(xp) = all_241_5_179 & doDivides0(xp, all_54_2_114) = all_241_0_174 & doDivides0(xp, xp) = all_241_1_175 & iLess0(all_241_3_177, all_0_10_10) = all_241_2_176 & sdtpldt0(all_241_4_178, xp) = all_241_3_177 & sdtpldt0(xp, all_54_2_114) = all_241_4_178 & aNaturalNumber0(all_54_2_114) = all_241_7_181 & aNaturalNumber0(xp) = all_241_6_180 & aNaturalNumber0(xp) = all_241_8_182 & ( ~ (all_241_2_176 = 0) | ~ (all_241_5_179 = 0) | ~ (all_241_6_180 = 0) | ~ (all_241_7_181 = 0) | ~ (all_241_8_182 = 0) | all_241_0_174 = 0 | all_241_1_175 = 0) % 50.77/18.80 | % 50.77/18.80 | Applying alpha-rule on (729) yields: % 50.77/18.80 | (730) doDivides0(xp, all_54_2_114) = all_241_0_174 % 50.77/18.80 | (731) sdtpldt0(all_241_4_178, xp) = all_241_3_177 % 50.77/18.80 | (732) aNaturalNumber0(xp) = all_241_6_180 % 50.77/18.80 | (733) isPrime0(xp) = all_241_5_179 % 50.77/18.80 | (734) iLess0(all_241_3_177, all_0_10_10) = all_241_2_176 % 50.77/18.80 | (735) doDivides0(xp, xp) = all_241_1_175 % 50.77/18.80 | (736) aNaturalNumber0(all_54_2_114) = all_241_7_181 % 50.77/18.80 | (737) sdtpldt0(xp, all_54_2_114) = all_241_4_178 % 50.77/18.80 | (738) ~ (all_241_2_176 = 0) | ~ (all_241_5_179 = 0) | ~ (all_241_6_180 = 0) | ~ (all_241_7_181 = 0) | ~ (all_241_8_182 = 0) | all_241_0_174 = 0 | all_241_1_175 = 0 % 50.77/18.80 | (739) aNaturalNumber0(xp) = all_241_8_182 % 50.77/18.81 | % 50.77/18.81 | Instantiating (651) with all_243_0_183, all_243_1_184, all_243_2_185, all_243_3_186, all_243_4_187, all_243_5_188, all_243_6_189, all_243_7_190, all_243_8_191 yields: % 50.77/18.81 | (740) isPrime0(xr) = all_243_5_188 & doDivides0(xr, all_54_2_114) = all_243_0_183 & doDivides0(xr, xp) = all_243_1_184 & iLess0(all_243_3_186, all_0_10_10) = all_243_2_185 & sdtpldt0(all_243_4_187, xr) = all_243_3_186 & sdtpldt0(xp, all_54_2_114) = all_243_4_187 & aNaturalNumber0(all_54_2_114) = all_243_7_190 & aNaturalNumber0(xr) = all_243_6_189 & aNaturalNumber0(xp) = all_243_8_191 & ( ~ (all_243_2_185 = 0) | ~ (all_243_5_188 = 0) | ~ (all_243_6_189 = 0) | ~ (all_243_7_190 = 0) | ~ (all_243_8_191 = 0) | all_243_0_183 = 0 | all_243_1_184 = 0) % 50.77/18.81 | % 50.77/18.81 | Applying alpha-rule on (740) yields: % 50.77/18.81 | (741) aNaturalNumber0(xr) = all_243_6_189 % 50.77/18.81 | (742) isPrime0(xr) = all_243_5_188 % 50.77/18.81 | (743) sdtpldt0(xp, all_54_2_114) = all_243_4_187 % 50.77/18.81 | (744) ~ (all_243_2_185 = 0) | ~ (all_243_5_188 = 0) | ~ (all_243_6_189 = 0) | ~ (all_243_7_190 = 0) | ~ (all_243_8_191 = 0) | all_243_0_183 = 0 | all_243_1_184 = 0 % 50.77/18.81 | (745) doDivides0(xr, all_54_2_114) = all_243_0_183 % 50.77/18.81 | (746) aNaturalNumber0(xp) = all_243_8_191 % 50.77/18.81 | (747) sdtpldt0(all_243_4_187, xr) = all_243_3_186 % 50.77/18.81 | (748) doDivides0(xr, xp) = all_243_1_184 % 50.77/18.81 | (749) aNaturalNumber0(all_54_2_114) = all_243_7_190 % 50.77/18.81 | (750) iLess0(all_243_3_186, all_0_10_10) = all_243_2_185 % 50.77/18.81 | % 50.77/18.81 | Instantiating (656) with all_245_0_192, all_245_1_193, all_245_2_194, all_245_3_195, all_245_4_196, all_245_5_197, all_245_6_198, all_245_7_199, all_245_8_200 yields: % 50.77/18.81 | (751) isPrime0(xp) = all_245_5_197 & doDivides0(xp, xm) = all_245_1_193 & doDivides0(xp, xn) = all_245_0_192 & iLess0(all_245_3_195, all_0_10_10) = all_245_2_194 & sdtpldt0(all_245_4_196, xp) = all_245_3_195 & sdtpldt0(xm, xn) = all_245_4_196 & aNaturalNumber0(xp) = all_245_6_198 & aNaturalNumber0(xm) = all_245_8_200 & aNaturalNumber0(xn) = all_245_7_199 & ( ~ (all_245_2_194 = 0) | ~ (all_245_5_197 = 0) | ~ (all_245_6_198 = 0) | ~ (all_245_7_199 = 0) | ~ (all_245_8_200 = 0) | all_245_0_192 = 0 | all_245_1_193 = 0) % 50.77/18.81 | % 50.77/18.81 | Applying alpha-rule on (751) yields: % 50.77/18.81 | (752) aNaturalNumber0(xn) = all_245_7_199 % 50.77/18.81 | (753) sdtpldt0(xm, xn) = all_245_4_196 % 50.77/18.81 | (754) ~ (all_245_2_194 = 0) | ~ (all_245_5_197 = 0) | ~ (all_245_6_198 = 0) | ~ (all_245_7_199 = 0) | ~ (all_245_8_200 = 0) | all_245_0_192 = 0 | all_245_1_193 = 0 % 50.77/18.81 | (755) doDivides0(xp, xm) = all_245_1_193 % 50.77/18.81 | (756) isPrime0(xp) = all_245_5_197 % 50.77/18.81 | (757) doDivides0(xp, xn) = all_245_0_192 % 50.77/18.81 | (758) aNaturalNumber0(xp) = all_245_6_198 % 50.77/18.81 | (759) aNaturalNumber0(xm) = all_245_8_200 % 50.77/18.81 | (760) iLess0(all_245_3_195, all_0_10_10) = all_245_2_194 % 50.77/18.81 | (761) sdtpldt0(all_245_4_196, xp) = all_245_3_195 % 50.77/18.81 | % 50.77/18.81 | Instantiating (654) with all_247_0_201, all_247_1_202, all_247_2_203 yields: % 50.77/18.81 | (762) sdtasdt0(all_0_5_5, xm) = all_247_0_201 & aNaturalNumber0(all_0_5_5) = all_247_1_202 & aNaturalNumber0(xm) = all_247_2_203 & ( ~ (all_247_1_202 = 0) | ~ (all_247_2_203 = 0) | all_247_0_201 = all_24_0_32) % 50.77/18.81 | % 50.77/18.81 | Applying alpha-rule on (762) yields: % 50.77/18.81 | (763) sdtasdt0(all_0_5_5, xm) = all_247_0_201 % 50.77/18.81 | (764) aNaturalNumber0(all_0_5_5) = all_247_1_202 % 50.77/18.81 | (765) aNaturalNumber0(xm) = all_247_2_203 % 50.77/18.81 | (766) ~ (all_247_1_202 = 0) | ~ (all_247_2_203 = 0) | all_247_0_201 = all_24_0_32 % 50.77/18.81 | % 50.77/18.81 | Instantiating (653) with all_249_0_204, all_249_1_205, all_249_2_206 yields: % 50.77/18.81 | (767) sdtasdt0(all_54_2_114, xp) = all_249_0_204 & aNaturalNumber0(all_54_2_114) = all_249_1_205 & aNaturalNumber0(xp) = all_249_2_206 & ( ~ (all_249_1_205 = 0) | ~ (all_249_2_206 = 0) | all_249_0_204 = all_0_9_9) % 50.77/18.81 | % 50.77/18.81 | Applying alpha-rule on (767) yields: % 50.77/18.81 | (768) sdtasdt0(all_54_2_114, xp) = all_249_0_204 % 50.77/18.81 | (769) aNaturalNumber0(all_54_2_114) = all_249_1_205 % 50.77/18.81 | (770) aNaturalNumber0(xp) = all_249_2_206 % 50.77/18.81 | (771) ~ (all_249_1_205 = 0) | ~ (all_249_2_206 = 0) | all_249_0_204 = all_0_9_9 % 50.77/18.81 | % 50.77/18.81 | Instantiating (669) with all_251_0_207, all_251_1_208, all_251_2_209 yields: % 50.77/18.81 | (772) aNaturalNumber0(all_28_0_44) = all_251_0_207 & aNaturalNumber0(all_0_5_5) = all_251_1_208 & aNaturalNumber0(xm) = all_251_2_209 & ( ~ (all_251_1_208 = 0) | ~ (all_251_2_209 = 0) | all_251_0_207 = 0) % 50.77/18.81 | % 50.77/18.81 | Applying alpha-rule on (772) yields: % 50.77/18.81 | (773) aNaturalNumber0(all_28_0_44) = all_251_0_207 % 50.77/18.81 | (774) aNaturalNumber0(all_0_5_5) = all_251_1_208 % 50.77/18.81 | (775) aNaturalNumber0(xm) = all_251_2_209 % 50.77/18.81 | (776) ~ (all_251_1_208 = 0) | ~ (all_251_2_209 = 0) | all_251_0_207 = 0 % 50.77/18.81 | % 50.77/18.81 | Instantiating (668) with all_253_0_210, all_253_1_211, all_253_2_212 yields: % 50.77/18.81 | (777) sdtpldt0(all_0_5_5, xm) = all_253_0_210 & aNaturalNumber0(all_0_5_5) = all_253_1_211 & aNaturalNumber0(xm) = all_253_2_212 & ( ~ (all_253_1_211 = 0) | ~ (all_253_2_212 = 0) | all_253_0_210 = all_28_0_44) % 50.77/18.81 | % 50.77/18.81 | Applying alpha-rule on (777) yields: % 50.77/18.81 | (778) sdtpldt0(all_0_5_5, xm) = all_253_0_210 % 50.77/18.81 | (779) aNaturalNumber0(all_0_5_5) = all_253_1_211 % 50.77/18.81 | (780) aNaturalNumber0(xm) = all_253_2_212 % 50.77/18.81 | (781) ~ (all_253_1_211 = 0) | ~ (all_253_2_212 = 0) | all_253_0_210 = all_28_0_44 % 50.77/18.81 | % 50.77/18.81 | Instantiating (667) with all_255_0_213, all_255_1_214, all_255_2_215 yields: % 50.77/18.81 | (782) sdtpldt0(all_49_2_99, xm) = all_255_0_213 & aNaturalNumber0(all_49_2_99) = all_255_1_214 & aNaturalNumber0(xm) = all_255_2_215 & ( ~ (all_255_1_214 = 0) | ~ (all_255_2_215 = 0) | all_255_0_213 = xp) % 50.77/18.81 | % 50.77/18.81 | Applying alpha-rule on (782) yields: % 50.77/18.81 | (783) sdtpldt0(all_49_2_99, xm) = all_255_0_213 % 50.77/18.81 | (784) aNaturalNumber0(all_49_2_99) = all_255_1_214 % 50.77/18.81 | (785) aNaturalNumber0(xm) = all_255_2_215 % 50.77/18.81 | (786) ~ (all_255_1_214 = 0) | ~ (all_255_2_215 = 0) | all_255_0_213 = xp % 50.77/18.81 | % 50.77/18.81 | Instantiating (664) with all_257_0_216, all_257_1_217, all_257_2_218, all_257_3_219, all_257_4_220 yields: % 50.77/18.81 | (787) doDivides0(all_108_0_144, all_49_2_99) = all_257_0_216 & doDivides0(all_108_0_144, xm) = all_257_1_217 & aNaturalNumber0(all_108_0_144) = all_257_4_220 & aNaturalNumber0(all_49_2_99) = all_257_2_218 & aNaturalNumber0(xm) = all_257_3_219 & ( ~ (all_257_1_217 = 0) | ~ (all_257_2_218 = 0) | ~ (all_257_3_219 = 0) | ~ (all_257_4_220 = 0) | all_257_0_216 = 0) % 50.77/18.81 | % 50.77/18.81 | Applying alpha-rule on (787) yields: % 50.77/18.81 | (788) aNaturalNumber0(xm) = all_257_3_219 % 50.77/18.81 | (789) doDivides0(all_108_0_144, xm) = all_257_1_217 % 50.77/18.81 | (790) aNaturalNumber0(all_108_0_144) = all_257_4_220 % 50.77/18.81 | (791) aNaturalNumber0(all_49_2_99) = all_257_2_218 % 50.77/18.81 | (792) doDivides0(all_108_0_144, all_49_2_99) = all_257_0_216 % 50.77/18.81 | (793) ~ (all_257_1_217 = 0) | ~ (all_257_2_218 = 0) | ~ (all_257_3_219 = 0) | ~ (all_257_4_220 = 0) | all_257_0_216 = 0 % 50.77/18.81 | % 50.77/18.81 | Instantiating (661) with all_259_0_221, all_259_1_222, all_259_2_223 yields: % 50.77/18.81 | (794) aNaturalNumber0(all_42_3_76) = all_259_0_221 & aNaturalNumber0(all_0_11_11) = all_259_2_223 & aNaturalNumber0(xr) = all_259_1_222 & ( ~ (all_259_1_222 = 0) | ~ (all_259_2_223 = 0) | all_259_0_221 = 0) % 50.77/18.81 | % 50.77/18.81 | Applying alpha-rule on (794) yields: % 50.77/18.81 | (795) aNaturalNumber0(all_42_3_76) = all_259_0_221 % 50.77/18.81 | (796) aNaturalNumber0(all_0_11_11) = all_259_2_223 % 50.77/18.81 | (797) aNaturalNumber0(xr) = all_259_1_222 % 50.77/18.81 | (798) ~ (all_259_1_222 = 0) | ~ (all_259_2_223 = 0) | all_259_0_221 = 0 % 50.77/18.81 | % 50.77/18.81 | Instantiating (659) with all_261_0_224, all_261_1_225, all_261_2_226, all_261_3_227, all_261_4_228 yields: % 50.77/18.81 | (799) sdtpldt0(xm, xr) = all_261_1_225 & sdtpldt0(xn, all_261_1_225) = all_261_0_224 & aNaturalNumber0(xr) = all_261_2_226 & aNaturalNumber0(xm) = all_261_3_227 & aNaturalNumber0(xn) = all_261_4_228 & ( ~ (all_261_2_226 = 0) | ~ (all_261_3_227 = 0) | ~ (all_261_4_228 = 0) | all_261_0_224 = all_42_3_76) % 50.77/18.81 | % 50.77/18.81 | Applying alpha-rule on (799) yields: % 50.77/18.81 | (800) aNaturalNumber0(xn) = all_261_4_228 % 50.77/18.81 | (801) sdtpldt0(xn, all_261_1_225) = all_261_0_224 % 50.77/18.81 | (802) aNaturalNumber0(xr) = all_261_2_226 % 50.77/18.81 | (803) sdtpldt0(xm, xr) = all_261_1_225 % 50.77/18.81 | (804) ~ (all_261_2_226 = 0) | ~ (all_261_3_227 = 0) | ~ (all_261_4_228 = 0) | all_261_0_224 = all_42_3_76 % 50.77/18.81 | (805) aNaturalNumber0(xm) = all_261_3_227 % 50.77/18.81 | % 50.77/18.81 | Instantiating (663) with all_263_0_229, all_263_1_230, all_263_2_231 yields: % 50.77/18.81 | (806) aNaturalNumber0(all_30_0_47) = all_263_0_229 & aNaturalNumber0(all_0_3_3) = all_263_1_230 & aNaturalNumber0(xp) = all_263_2_231 & ( ~ (all_263_1_230 = 0) | ~ (all_263_2_231 = 0) | all_263_0_229 = 0) % 50.77/18.81 | % 50.77/18.81 | Applying alpha-rule on (806) yields: % 50.77/18.81 | (807) aNaturalNumber0(all_30_0_47) = all_263_0_229 % 50.77/18.82 | (808) aNaturalNumber0(all_0_3_3) = all_263_1_230 % 50.77/18.82 | (809) aNaturalNumber0(xp) = all_263_2_231 % 50.77/18.82 | (810) ~ (all_263_1_230 = 0) | ~ (all_263_2_231 = 0) | all_263_0_229 = 0 % 50.77/18.82 | % 50.77/18.82 | Instantiating (666) with all_265_0_232, all_265_1_233, all_265_2_234, all_265_3_235, all_265_4_236 yields: % 50.77/18.82 | (811) sdtpldt0(all_49_2_99, all_0_11_11) = all_265_1_233 & sdtpldt0(xm, all_265_1_233) = all_265_0_232 & aNaturalNumber0(all_49_2_99) = all_265_3_235 & aNaturalNumber0(all_0_11_11) = all_265_2_234 & aNaturalNumber0(xm) = all_265_4_236 & ( ~ (all_265_2_234 = 0) | ~ (all_265_3_235 = 0) | ~ (all_265_4_236 = 0) | all_265_0_232 = all_0_10_10) % 50.77/18.82 | % 50.77/18.82 | Applying alpha-rule on (811) yields: % 50.77/18.82 | (812) ~ (all_265_2_234 = 0) | ~ (all_265_3_235 = 0) | ~ (all_265_4_236 = 0) | all_265_0_232 = all_0_10_10 % 50.77/18.82 | (813) sdtpldt0(xm, all_265_1_233) = all_265_0_232 % 50.77/18.82 | (814) aNaturalNumber0(all_0_11_11) = all_265_2_234 % 50.77/18.82 | (815) aNaturalNumber0(xm) = all_265_4_236 % 50.77/18.82 | (816) sdtpldt0(all_49_2_99, all_0_11_11) = all_265_1_233 % 50.77/18.82 | (817) aNaturalNumber0(all_49_2_99) = all_265_3_235 % 50.77/18.82 | % 50.77/18.82 | Instantiating (665) with all_267_0_237, all_267_1_238, all_267_2_239, all_267_3_240, all_267_4_241 yields: % 50.77/18.82 | (818) sdtpldt0(all_49_2_99, all_0_3_3) = all_267_1_238 & sdtpldt0(xm, all_267_1_238) = all_267_0_237 & aNaturalNumber0(all_49_2_99) = all_267_3_240 & aNaturalNumber0(all_0_3_3) = all_267_2_239 & aNaturalNumber0(xm) = all_267_4_241 & ( ~ (all_267_2_239 = 0) | ~ (all_267_3_240 = 0) | ~ (all_267_4_241 = 0) | all_267_0_237 = all_30_0_47) % 50.77/18.82 | % 50.77/18.82 | Applying alpha-rule on (818) yields: % 50.77/18.82 | (819) aNaturalNumber0(xm) = all_267_4_241 % 50.77/18.82 | (820) ~ (all_267_2_239 = 0) | ~ (all_267_3_240 = 0) | ~ (all_267_4_241 = 0) | all_267_0_237 = all_30_0_47 % 50.77/18.82 | (821) sdtpldt0(xm, all_267_1_238) = all_267_0_237 % 50.77/18.82 | (822) aNaturalNumber0(all_49_2_99) = all_267_3_240 % 50.77/18.82 | (823) aNaturalNumber0(all_0_3_3) = all_267_2_239 % 50.77/18.82 | (824) sdtpldt0(all_49_2_99, all_0_3_3) = all_267_1_238 % 50.77/18.82 | % 50.77/18.82 | Instantiating (678) with all_269_0_242, all_269_1_243, all_269_2_244 yields: % 50.77/18.82 | (825) sdtpldt0(all_46_2_90, xn) = all_269_0_242 & aNaturalNumber0(all_46_2_90) = all_269_1_243 & aNaturalNumber0(xn) = all_269_2_244 & ( ~ (all_269_1_243 = 0) | ~ (all_269_2_244 = 0) | all_269_0_242 = xp) % 50.77/18.82 | % 50.77/18.82 | Applying alpha-rule on (825) yields: % 50.77/18.82 | (826) sdtpldt0(all_46_2_90, xn) = all_269_0_242 % 50.77/18.82 | (827) aNaturalNumber0(all_46_2_90) = all_269_1_243 % 50.77/18.82 | (828) aNaturalNumber0(xn) = all_269_2_244 % 50.77/18.82 | (829) ~ (all_269_1_243 = 0) | ~ (all_269_2_244 = 0) | all_269_0_242 = xp % 50.77/18.82 | % 50.77/18.82 | Instantiating (662) with all_271_0_245, all_271_1_246, all_271_2_247 yields: % 50.77/18.82 | (830) sdtpldt0(all_0_3_3, xp) = all_271_0_245 & aNaturalNumber0(all_0_3_3) = all_271_1_246 & aNaturalNumber0(xp) = all_271_2_247 & ( ~ (all_271_1_246 = 0) | ~ (all_271_2_247 = 0) | all_271_0_245 = all_30_0_47) % 50.77/18.82 | % 50.77/18.82 | Applying alpha-rule on (830) yields: % 50.77/18.82 | (831) sdtpldt0(all_0_3_3, xp) = all_271_0_245 % 50.77/18.82 | (832) aNaturalNumber0(all_0_3_3) = all_271_1_246 % 50.77/18.82 | (833) aNaturalNumber0(xp) = all_271_2_247 % 50.77/18.82 | (834) ~ (all_271_1_246 = 0) | ~ (all_271_2_247 = 0) | all_271_0_245 = all_30_0_47 % 50.77/18.82 | % 50.77/18.82 | Instantiating (660) with all_273_0_248, all_273_1_249, all_273_2_250 yields: % 50.77/18.82 | (835) sdtpldt0(xr, all_0_11_11) = all_273_0_248 & aNaturalNumber0(all_0_11_11) = all_273_2_250 & aNaturalNumber0(xr) = all_273_1_249 & ( ~ (all_273_1_249 = 0) | ~ (all_273_2_250 = 0) | all_273_0_248 = all_42_3_76) % 50.77/18.82 | % 50.77/18.82 | Applying alpha-rule on (835) yields: % 50.77/18.82 | (836) sdtpldt0(xr, all_0_11_11) = all_273_0_248 % 50.77/18.82 | (837) aNaturalNumber0(all_0_11_11) = all_273_2_250 % 50.77/18.82 | (838) aNaturalNumber0(xr) = all_273_1_249 % 50.77/18.82 | (839) ~ (all_273_1_249 = 0) | ~ (all_273_2_250 = 0) | all_273_0_248 = all_42_3_76 % 50.77/18.82 | % 50.77/18.82 | Instantiating (677) with all_275_0_251, all_275_1_252, all_275_2_253, all_275_3_254, all_275_4_255 yields: % 50.77/18.82 | (840) sdtpldt0(all_46_2_90, all_0_11_11) = all_275_1_252 & sdtpldt0(xn, all_275_1_252) = all_275_0_251 & aNaturalNumber0(all_46_2_90) = all_275_3_254 & aNaturalNumber0(all_0_11_11) = all_275_2_253 & aNaturalNumber0(xn) = all_275_4_255 & ( ~ (all_275_2_253 = 0) | ~ (all_275_3_254 = 0) | ~ (all_275_4_255 = 0) | all_275_0_251 = all_0_10_10) % 50.77/18.82 | % 50.77/18.82 | Applying alpha-rule on (840) yields: % 50.77/18.82 | (841) aNaturalNumber0(all_46_2_90) = all_275_3_254 % 50.77/18.82 | (842) aNaturalNumber0(all_0_11_11) = all_275_2_253 % 50.77/18.82 | (843) aNaturalNumber0(xn) = all_275_4_255 % 50.77/18.82 | (844) ~ (all_275_2_253 = 0) | ~ (all_275_3_254 = 0) | ~ (all_275_4_255 = 0) | all_275_0_251 = all_0_10_10 % 50.77/18.82 | (845) sdtpldt0(xn, all_275_1_252) = all_275_0_251 % 50.77/18.82 | (846) sdtpldt0(all_46_2_90, all_0_11_11) = all_275_1_252 % 50.77/18.82 | % 50.77/18.82 | Instantiating (676) with all_277_0_256, all_277_1_257, all_277_2_258, all_277_3_259, all_277_4_260 yields: % 50.77/18.82 | (847) sdtpldt0(all_46_2_90, all_0_3_3) = all_277_1_257 & sdtpldt0(xn, all_277_1_257) = all_277_0_256 & aNaturalNumber0(all_46_2_90) = all_277_3_259 & aNaturalNumber0(all_0_3_3) = all_277_2_258 & aNaturalNumber0(xn) = all_277_4_260 & ( ~ (all_277_2_258 = 0) | ~ (all_277_3_259 = 0) | ~ (all_277_4_260 = 0) | all_277_0_256 = all_30_0_47) % 50.77/18.82 | % 50.77/18.82 | Applying alpha-rule on (847) yields: % 50.77/18.82 | (848) sdtpldt0(xn, all_277_1_257) = all_277_0_256 % 50.77/18.82 | (849) aNaturalNumber0(all_46_2_90) = all_277_3_259 % 50.77/18.82 | (850) sdtpldt0(all_46_2_90, all_0_3_3) = all_277_1_257 % 50.77/18.82 | (851) aNaturalNumber0(all_0_3_3) = all_277_2_258 % 50.77/18.82 | (852) aNaturalNumber0(xn) = all_277_4_260 % 50.77/18.82 | (853) ~ (all_277_2_258 = 0) | ~ (all_277_3_259 = 0) | ~ (all_277_4_260 = 0) | all_277_0_256 = all_30_0_47 % 50.77/18.82 | % 50.77/18.82 | Instantiating (675) with all_279_0_261, all_279_1_262, all_279_2_263, all_279_3_264, all_279_4_265 yields: % 50.77/18.82 | (854) doDivides0(all_108_0_144, all_46_2_90) = all_279_0_261 & doDivides0(all_108_0_144, xn) = all_279_1_262 & aNaturalNumber0(all_108_0_144) = all_279_4_265 & aNaturalNumber0(all_46_2_90) = all_279_2_263 & aNaturalNumber0(xn) = all_279_3_264 & ( ~ (all_279_1_262 = 0) | ~ (all_279_2_263 = 0) | ~ (all_279_3_264 = 0) | ~ (all_279_4_265 = 0) | all_279_0_261 = 0) % 50.77/18.82 | % 50.77/18.82 | Applying alpha-rule on (854) yields: % 50.77/18.82 | (855) ~ (all_279_1_262 = 0) | ~ (all_279_2_263 = 0) | ~ (all_279_3_264 = 0) | ~ (all_279_4_265 = 0) | all_279_0_261 = 0 % 50.77/18.82 | (856) doDivides0(all_108_0_144, all_46_2_90) = all_279_0_261 % 50.77/18.82 | (857) aNaturalNumber0(all_108_0_144) = all_279_4_265 % 50.77/18.82 | (858) aNaturalNumber0(all_46_2_90) = all_279_2_263 % 50.77/18.82 | (859) aNaturalNumber0(xn) = all_279_3_264 % 50.77/18.82 | (860) doDivides0(all_108_0_144, xn) = all_279_1_262 % 50.77/18.82 | % 50.77/18.82 | Instantiating (650) with all_281_0_266, all_281_1_267, all_281_2_268 yields: % 50.77/18.82 | (861) sdtasdt0(all_51_2_105, xr) = all_281_0_266 & aNaturalNumber0(all_51_2_105) = all_281_1_267 & aNaturalNumber0(xr) = all_281_2_268 & ( ~ (all_281_1_267 = 0) | ~ (all_281_2_268 = 0) | all_281_0_266 = xn) % 50.77/18.82 | % 50.77/18.82 | Applying alpha-rule on (861) yields: % 50.77/18.82 | (862) sdtasdt0(all_51_2_105, xr) = all_281_0_266 % 50.77/18.82 | (863) aNaturalNumber0(all_51_2_105) = all_281_1_267 % 50.77/18.82 | (864) aNaturalNumber0(xr) = all_281_2_268 % 50.77/18.82 | (865) ~ (all_281_1_267 = 0) | ~ (all_281_2_268 = 0) | all_281_0_266 = xn % 50.77/18.82 | % 50.77/18.82 | Instantiating (673) with all_283_0_269, all_283_1_270, all_283_2_271, all_283_3_272, all_283_4_273 yields: % 50.77/18.82 | (866) sdtpldt0(xm, all_283_1_270) = all_283_0_269 & sdtpldt0(xn, xr) = all_283_1_270 & aNaturalNumber0(xr) = all_283_2_271 & aNaturalNumber0(xm) = all_283_4_273 & aNaturalNumber0(xn) = all_283_3_272 & ( ~ (all_283_2_271 = 0) | ~ (all_283_3_272 = 0) | ~ (all_283_4_273 = 0) | all_283_0_269 = all_42_3_76) % 50.77/18.82 | % 50.77/18.82 | Applying alpha-rule on (866) yields: % 50.77/18.82 | (867) ~ (all_283_2_271 = 0) | ~ (all_283_3_272 = 0) | ~ (all_283_4_273 = 0) | all_283_0_269 = all_42_3_76 % 50.77/18.82 | (868) aNaturalNumber0(xn) = all_283_3_272 % 50.77/18.82 | (869) sdtpldt0(xn, xr) = all_283_1_270 % 50.77/18.82 | (870) sdtpldt0(xm, all_283_1_270) = all_283_0_269 % 50.77/18.82 | (871) aNaturalNumber0(xr) = all_283_2_271 % 50.77/18.83 | (872) aNaturalNumber0(xm) = all_283_4_273 % 50.77/18.83 | % 50.77/18.83 | Instantiating (672) with all_285_0_274, all_285_1_275, all_285_2_276, all_285_3_277, all_285_4_278 yields: % 50.77/18.83 | (873) sdtpldt0(xm, all_285_1_275) = all_285_0_274 & sdtpldt0(xn, xp) = all_285_1_275 & aNaturalNumber0(xp) = all_285_2_276 & aNaturalNumber0(xm) = all_285_4_278 & aNaturalNumber0(xn) = all_285_3_277 & ( ~ (all_285_2_276 = 0) | ~ (all_285_3_277 = 0) | ~ (all_285_4_278 = 0) | all_285_0_274 = all_0_10_10) % 50.77/18.83 | % 50.77/18.83 | Applying alpha-rule on (873) yields: % 50.77/18.83 | (874) sdtpldt0(xn, xp) = all_285_1_275 % 50.77/18.83 | (875) aNaturalNumber0(xn) = all_285_3_277 % 50.77/18.83 | (876) aNaturalNumber0(xm) = all_285_4_278 % 50.77/18.83 | (877) sdtpldt0(xm, all_285_1_275) = all_285_0_274 % 50.77/18.83 | (878) ~ (all_285_2_276 = 0) | ~ (all_285_3_277 = 0) | ~ (all_285_4_278 = 0) | all_285_0_274 = all_0_10_10 % 50.77/18.83 | (879) aNaturalNumber0(xp) = all_285_2_276 % 50.77/18.83 | % 50.77/18.83 | Instantiating (649) with all_287_0_279, all_287_1_280, all_287_2_281, all_287_3_282, all_287_4_283, all_287_5_284, all_287_6_285, all_287_7_286, all_287_8_287 yields: % 50.77/18.83 | (880) isPrime0(xr) = all_287_5_284 & doDivides0(xr, all_51_2_105) = all_287_0_279 & doDivides0(xr, xr) = all_287_1_280 & iLess0(all_287_3_282, all_0_10_10) = all_287_2_281 & sdtpldt0(all_287_4_283, xr) = all_287_3_282 & sdtpldt0(xr, all_51_2_105) = all_287_4_283 & aNaturalNumber0(all_51_2_105) = all_287_7_286 & aNaturalNumber0(xr) = all_287_6_285 & aNaturalNumber0(xr) = all_287_8_287 & ( ~ (all_287_2_281 = 0) | ~ (all_287_5_284 = 0) | ~ (all_287_6_285 = 0) | ~ (all_287_7_286 = 0) | ~ (all_287_8_287 = 0) | all_287_0_279 = 0 | all_287_1_280 = 0) % 50.77/18.83 | % 50.77/18.83 | Applying alpha-rule on (880) yields: % 50.77/18.83 | (881) ~ (all_287_2_281 = 0) | ~ (all_287_5_284 = 0) | ~ (all_287_6_285 = 0) | ~ (all_287_7_286 = 0) | ~ (all_287_8_287 = 0) | all_287_0_279 = 0 | all_287_1_280 = 0 % 50.77/18.83 | (882) isPrime0(xr) = all_287_5_284 % 50.77/18.83 | (883) sdtpldt0(xr, all_51_2_105) = all_287_4_283 % 50.77/18.83 | (884) aNaturalNumber0(xr) = all_287_6_285 % 50.77/18.83 | (885) iLess0(all_287_3_282, all_0_10_10) = all_287_2_281 % 50.77/18.83 | (886) sdtpldt0(all_287_4_283, xr) = all_287_3_282 % 50.77/18.83 | (887) aNaturalNumber0(all_51_2_105) = all_287_7_286 % 50.77/18.83 | (888) aNaturalNumber0(xr) = all_287_8_287 % 50.77/18.83 | (889) doDivides0(xr, all_51_2_105) = all_287_0_279 % 50.77/18.83 | (890) doDivides0(xr, xr) = all_287_1_280 % 50.77/18.83 | % 50.77/18.83 | Instantiating (645) with all_289_0_288, all_289_1_289, all_289_2_290, all_289_3_291, all_289_4_292, all_289_5_293, all_289_6_294, all_289_7_295, all_289_8_296 yields: % 50.77/18.83 | (891) isPrime0(xp) = all_289_5_293 & doDivides0(xp, all_53_2_111) = all_289_0_288 & doDivides0(xp, xr) = all_289_1_289 & iLess0(all_289_3_291, all_0_10_10) = all_289_2_290 & sdtpldt0(all_289_4_292, xp) = all_289_3_291 & sdtpldt0(xr, all_53_2_111) = all_289_4_292 & aNaturalNumber0(all_53_2_111) = all_289_7_295 & aNaturalNumber0(xr) = all_289_8_296 & aNaturalNumber0(xp) = all_289_6_294 & ( ~ (all_289_2_290 = 0) | ~ (all_289_5_293 = 0) | ~ (all_289_6_294 = 0) | ~ (all_289_7_295 = 0) | ~ (all_289_8_296 = 0) | all_289_0_288 = 0 | all_289_1_289 = 0) % 50.77/18.83 | % 50.77/18.83 | Applying alpha-rule on (891) yields: % 50.77/18.83 | (892) doDivides0(xp, all_53_2_111) = all_289_0_288 % 50.77/18.83 | (893) sdtpldt0(xr, all_53_2_111) = all_289_4_292 % 50.77/18.83 | (894) doDivides0(xp, xr) = all_289_1_289 % 50.77/18.83 | (895) ~ (all_289_2_290 = 0) | ~ (all_289_5_293 = 0) | ~ (all_289_6_294 = 0) | ~ (all_289_7_295 = 0) | ~ (all_289_8_296 = 0) | all_289_0_288 = 0 | all_289_1_289 = 0 % 50.77/18.83 | (896) sdtpldt0(all_289_4_292, xp) = all_289_3_291 % 50.77/18.83 | (897) aNaturalNumber0(xr) = all_289_8_296 % 50.77/18.83 | (898) isPrime0(xp) = all_289_5_293 % 50.77/18.83 | (899) iLess0(all_289_3_291, all_0_10_10) = all_289_2_290 % 50.77/18.83 | (900) aNaturalNumber0(xp) = all_289_6_294 % 50.77/18.83 | (901) aNaturalNumber0(all_53_2_111) = all_289_7_295 % 50.77/18.83 | % 50.77/18.83 | Instantiating (644) with all_292_0_300, all_292_1_301, all_292_2_302, all_292_3_303, all_292_4_304, all_292_5_305, all_292_6_306, all_292_7_307, all_292_8_308 yields: % 50.77/18.83 | (902) isPrime0(xr) = all_292_5_305 & doDivides0(xr, all_53_2_111) = all_292_0_300 & doDivides0(xr, xr) = all_292_1_301 & iLess0(all_292_3_303, all_0_10_10) = all_292_2_302 & sdtpldt0(all_292_4_304, xr) = all_292_3_303 & sdtpldt0(xr, all_53_2_111) = all_292_4_304 & aNaturalNumber0(all_53_2_111) = all_292_7_307 & aNaturalNumber0(xr) = all_292_6_306 & aNaturalNumber0(xr) = all_292_8_308 & ( ~ (all_292_2_302 = 0) | ~ (all_292_5_305 = 0) | ~ (all_292_6_306 = 0) | ~ (all_292_7_307 = 0) | ~ (all_292_8_308 = 0) | all_292_0_300 = 0 | all_292_1_301 = 0) % 50.77/18.83 | % 50.77/18.83 | Applying alpha-rule on (902) yields: % 50.77/18.83 | (903) ~ (all_292_2_302 = 0) | ~ (all_292_5_305 = 0) | ~ (all_292_6_306 = 0) | ~ (all_292_7_307 = 0) | ~ (all_292_8_308 = 0) | all_292_0_300 = 0 | all_292_1_301 = 0 % 50.77/18.83 | (904) sdtpldt0(xr, all_53_2_111) = all_292_4_304 % 50.77/18.83 | (905) aNaturalNumber0(xr) = all_292_8_308 % 50.77/18.83 | (906) iLess0(all_292_3_303, all_0_10_10) = all_292_2_302 % 50.77/18.83 | (907) isPrime0(xr) = all_292_5_305 % 50.77/18.83 | (908) aNaturalNumber0(all_53_2_111) = all_292_7_307 % 50.77/18.83 | (909) aNaturalNumber0(xr) = all_292_6_306 % 50.77/18.83 | (910) sdtpldt0(all_292_4_304, xr) = all_292_3_303 % 50.77/18.83 | (911) doDivides0(xr, all_53_2_111) = all_292_0_300 % 50.77/18.83 | (912) doDivides0(xr, xr) = all_292_1_301 % 50.77/18.83 | % 50.77/18.83 +-Applying beta-rule and splitting (681), into two cases. % 50.77/18.83 |-Branch one: % 50.77/18.83 | (913) all_103_0_143 = sz00 % 50.77/18.83 | % 50.77/18.83 | Equations (913) can reduce 339 to: % 50.77/18.83 | (248) $false % 50.77/18.83 | % 50.77/18.83 |-The branch is then unsatisfiable % 50.77/18.83 |-Branch two: % 50.77/18.83 | (339) ~ (all_103_0_143 = sz00) % 50.77/18.83 | (916) all_103_0_143 = sz10 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, all_103_0_143) = 0 & aNaturalNumber0(v0) = 0) % 50.77/18.83 | % 50.77/18.83 +-Applying beta-rule and splitting (916), into two cases. % 50.77/18.83 |-Branch one: % 50.77/18.83 | (917) all_103_0_143 = sz10 % 50.77/18.83 | % 50.77/18.83 | Equations (917) can reduce 338 to: % 50.77/18.83 | (248) $false % 50.77/18.83 | % 50.77/18.83 |-The branch is then unsatisfiable % 50.77/18.83 |-Branch two: % 50.77/18.83 | (338) ~ (all_103_0_143 = sz10) % 50.77/18.83 | (920) ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, all_103_0_143) = 0 & aNaturalNumber0(v0) = 0) % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with all_54_2_114, all_243_7_190, 0 and discharging atoms aNaturalNumber0(all_54_2_114) = all_243_7_190, aNaturalNumber0(all_54_2_114) = 0, yields: % 50.77/18.83 | (921) all_243_7_190 = 0 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with all_54_2_114, all_243_7_190, all_249_1_205 and discharging atoms aNaturalNumber0(all_54_2_114) = all_249_1_205, aNaturalNumber0(all_54_2_114) = all_243_7_190, yields: % 50.77/18.83 | (922) all_249_1_205 = all_243_7_190 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with all_54_2_114, all_241_7_181, all_249_1_205 and discharging atoms aNaturalNumber0(all_54_2_114) = all_249_1_205, aNaturalNumber0(all_54_2_114) = all_241_7_181, yields: % 50.77/18.83 | (923) all_249_1_205 = all_241_7_181 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with all_51_2_105, all_287_7_286, 0 and discharging atoms aNaturalNumber0(all_51_2_105) = all_287_7_286, aNaturalNumber0(all_51_2_105) = 0, yields: % 50.77/18.83 | (924) all_287_7_286 = 0 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with all_51_2_105, all_281_1_267, all_287_7_286 and discharging atoms aNaturalNumber0(all_51_2_105) = all_287_7_286, aNaturalNumber0(all_51_2_105) = all_281_1_267, yields: % 50.77/18.83 | (925) all_287_7_286 = all_281_1_267 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with all_51_2_105, all_235_3_166, all_281_1_267 and discharging atoms aNaturalNumber0(all_51_2_105) = all_281_1_267, aNaturalNumber0(all_51_2_105) = all_235_3_166, yields: % 50.77/18.83 | (926) all_281_1_267 = all_235_3_166 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with all_0_2_2, all_263_0_229, all_18_0_21 and discharging atoms aNaturalNumber0(all_0_2_2) = all_18_0_21, yields: % 50.77/18.83 | (927) all_263_0_229 = all_18_0_21 | ~ (aNaturalNumber0(all_0_2_2) = all_263_0_229) % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with all_22_1_28, all_231_1_158, all_233_1_161 and discharging atoms aNaturalNumber0(all_22_1_28) = all_233_1_161, aNaturalNumber0(all_22_1_28) = all_231_1_158, yields: % 50.77/18.83 | (928) all_233_1_161 = all_231_1_158 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with all_22_1_28, all_227_0_151, all_231_1_158 and discharging atoms aNaturalNumber0(all_22_1_28) = all_231_1_158, aNaturalNumber0(all_22_1_28) = all_227_0_151, yields: % 50.77/18.83 | (929) all_231_1_158 = all_227_0_151 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with all_22_1_28, all_225_1_149, all_233_1_161 and discharging atoms aNaturalNumber0(all_22_1_28) = all_233_1_161, aNaturalNumber0(all_22_1_28) = all_225_1_149, yields: % 50.77/18.83 | (930) all_233_1_161 = all_225_1_149 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with all_0_2_2, all_223_1_146, all_18_0_21 and discharging atoms aNaturalNumber0(all_0_2_2) = all_18_0_21, yields: % 50.77/18.83 | (931) all_223_1_146 = all_18_0_21 | ~ (aNaturalNumber0(all_0_2_2) = all_223_1_146) % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with all_22_1_28, all_223_1_146, all_231_1_158 and discharging atoms aNaturalNumber0(all_22_1_28) = all_231_1_158, aNaturalNumber0(all_22_1_28) = all_223_1_146, yields: % 50.77/18.83 | (932) all_231_1_158 = all_223_1_146 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with all_0_5_5, all_253_1_211, all_241_7_181 and discharging atoms aNaturalNumber0(all_0_5_5) = all_253_1_211, yields: % 50.77/18.83 | (933) all_253_1_211 = all_241_7_181 | ~ (aNaturalNumber0(all_0_5_5) = all_241_7_181) % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with all_0_5_5, all_247_1_202, all_20_2_26 and discharging atoms aNaturalNumber0(all_0_5_5) = all_247_1_202, aNaturalNumber0(all_0_5_5) = all_20_2_26, yields: % 50.77/18.83 | (934) all_247_1_202 = all_20_2_26 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with all_0_5_5, all_247_1_202, all_251_1_208 and discharging atoms aNaturalNumber0(all_0_5_5) = all_251_1_208, aNaturalNumber0(all_0_5_5) = all_247_1_202, yields: % 50.77/18.83 | (935) all_251_1_208 = all_247_1_202 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with all_0_5_5, all_239_1_172, all_253_1_211 and discharging atoms aNaturalNumber0(all_0_5_5) = all_253_1_211, aNaturalNumber0(all_0_5_5) = all_239_1_172, yields: % 50.77/18.83 | (936) all_253_1_211 = all_239_1_172 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with all_0_5_5, all_239_1_172, all_251_1_208 and discharging atoms aNaturalNumber0(all_0_5_5) = all_251_1_208, aNaturalNumber0(all_0_5_5) = all_239_1_172, yields: % 50.77/18.83 | (937) all_251_1_208 = all_239_1_172 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with all_0_5_5, all_233_2_162, all_251_1_208 and discharging atoms aNaturalNumber0(all_0_5_5) = all_251_1_208, aNaturalNumber0(all_0_5_5) = all_233_2_162, yields: % 50.77/18.83 | (938) all_251_1_208 = all_233_2_162 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with all_0_5_5, all_231_2_159, all_253_1_211 and discharging atoms aNaturalNumber0(all_0_5_5) = all_253_1_211, aNaturalNumber0(all_0_5_5) = all_231_2_159, yields: % 50.77/18.83 | (939) all_253_1_211 = all_231_2_159 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with all_0_10_10, all_223_0_145, 0 and discharging atoms aNaturalNumber0(all_0_10_10) = all_223_0_145, aNaturalNumber0(all_0_10_10) = 0, yields: % 50.77/18.83 | (940) all_223_0_145 = 0 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with xr, all_292_6_306, 0 and discharging atoms aNaturalNumber0(xr) = all_292_6_306, aNaturalNumber0(xr) = 0, yields: % 50.77/18.83 | (941) all_292_6_306 = 0 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with xr, all_289_8_296, all_292_6_306 and discharging atoms aNaturalNumber0(xr) = all_292_6_306, aNaturalNumber0(xr) = all_289_8_296, yields: % 50.77/18.83 | (942) all_292_6_306 = all_289_8_296 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with xr, all_287_6_285, all_292_8_308 and discharging atoms aNaturalNumber0(xr) = all_292_8_308, aNaturalNumber0(xr) = all_287_6_285, yields: % 50.77/18.83 | (943) all_292_8_308 = all_287_6_285 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with xr, all_287_8_287, all_292_8_308 and discharging atoms aNaturalNumber0(xr) = all_292_8_308, aNaturalNumber0(xr) = all_287_8_287, yields: % 50.77/18.83 | (944) all_292_8_308 = all_287_8_287 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with xr, all_283_2_271, all_289_8_296 and discharging atoms aNaturalNumber0(xr) = all_289_8_296, aNaturalNumber0(xr) = all_283_2_271, yields: % 50.77/18.83 | (945) all_289_8_296 = all_283_2_271 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with xr, all_281_2_268, all_292_8_308 and discharging atoms aNaturalNumber0(xr) = all_292_8_308, aNaturalNumber0(xr) = all_281_2_268, yields: % 50.77/18.83 | (946) all_292_8_308 = all_281_2_268 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with xr, all_273_1_249, all_283_2_271 and discharging atoms aNaturalNumber0(xr) = all_283_2_271, aNaturalNumber0(xr) = all_273_1_249, yields: % 50.77/18.83 | (947) all_283_2_271 = all_273_1_249 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with xr, all_261_2_226, all_287_6_285 and discharging atoms aNaturalNumber0(xr) = all_287_6_285, aNaturalNumber0(xr) = all_261_2_226, yields: % 50.77/18.83 | (948) all_287_6_285 = all_261_2_226 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with xr, all_259_1_222, all_273_1_249 and discharging atoms aNaturalNumber0(xr) = all_273_1_249, aNaturalNumber0(xr) = all_259_1_222, yields: % 50.77/18.83 | (949) all_273_1_249 = all_259_1_222 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with xr, all_243_6_189, all_287_8_287 and discharging atoms aNaturalNumber0(xr) = all_287_8_287, aNaturalNumber0(xr) = all_243_6_189, yields: % 50.77/18.83 | (950) all_287_8_287 = all_243_6_189 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with xr, all_237_2_170, all_287_6_285 and discharging atoms aNaturalNumber0(xr) = all_287_6_285, aNaturalNumber0(xr) = all_237_2_170, yields: % 50.77/18.83 | (951) all_287_6_285 = all_237_2_170 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with xr, all_237_2_170, all_259_1_222 and discharging atoms aNaturalNumber0(xr) = all_259_1_222, aNaturalNumber0(xr) = all_237_2_170, yields: % 50.77/18.83 | (952) all_259_1_222 = all_237_2_170 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with xr, all_235_4_167, all_287_6_285 and discharging atoms aNaturalNumber0(xr) = all_287_6_285, aNaturalNumber0(xr) = all_235_4_167, yields: % 50.77/18.83 | (953) all_287_6_285 = all_235_4_167 % 50.77/18.83 | % 50.77/18.83 | Instantiating formula (63) with xp, all_285_2_276, all_289_6_294 and discharging atoms aNaturalNumber0(xp) = all_289_6_294, aNaturalNumber0(xp) = all_285_2_276, yields: % 50.77/18.83 | (954) all_289_6_294 = all_285_2_276 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xp, all_263_2_231, 0 and discharging atoms aNaturalNumber0(xp) = all_263_2_231, aNaturalNumber0(xp) = 0, yields: % 50.77/18.84 | (955) all_263_2_231 = 0 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xp, all_249_2_206, all_285_2_276 and discharging atoms aNaturalNumber0(xp) = all_285_2_276, aNaturalNumber0(xp) = all_249_2_206, yields: % 50.77/18.84 | (956) all_285_2_276 = all_249_2_206 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xp, all_249_2_206, all_263_2_231 and discharging atoms aNaturalNumber0(xp) = all_263_2_231, aNaturalNumber0(xp) = all_249_2_206, yields: % 50.77/18.84 | (957) all_263_2_231 = all_249_2_206 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xp, all_245_6_198, all_289_6_294 and discharging atoms aNaturalNumber0(xp) = all_289_6_294, aNaturalNumber0(xp) = all_245_6_198, yields: % 50.77/18.84 | (958) all_289_6_294 = all_245_6_198 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xp, all_243_8_191, all_271_2_247 and discharging atoms aNaturalNumber0(xp) = all_271_2_247, aNaturalNumber0(xp) = all_243_8_191, yields: % 50.77/18.84 | (959) all_271_2_247 = all_243_8_191 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xp, all_241_6_180, all_243_8_191 and discharging atoms aNaturalNumber0(xp) = all_243_8_191, aNaturalNumber0(xp) = all_241_6_180, yields: % 50.77/18.84 | (960) all_243_8_191 = all_241_6_180 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xp, all_241_8_182, all_249_2_206 and discharging atoms aNaturalNumber0(xp) = all_249_2_206, aNaturalNumber0(xp) = all_241_8_182, yields: % 50.77/18.84 | (961) all_249_2_206 = all_241_8_182 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xp, all_241_8_182, all_241_6_180 and discharging atoms aNaturalNumber0(xp) = all_241_6_180, aNaturalNumber0(xp) = all_241_8_182, yields: % 50.77/18.84 | (962) all_241_6_180 = all_241_8_182 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xp, all_229_1_155, all_271_2_247 and discharging atoms aNaturalNumber0(xp) = all_271_2_247, aNaturalNumber0(xp) = all_229_1_155, yields: % 50.77/18.84 | (963) all_271_2_247 = all_229_1_155 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xp, all_227_1_152, all_241_8_182 and discharging atoms aNaturalNumber0(xp) = all_241_8_182, aNaturalNumber0(xp) = all_227_1_152, yields: % 50.77/18.84 | (964) all_241_8_182 = all_227_1_152 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xm, all_267_4_241, all_283_4_273 and discharging atoms aNaturalNumber0(xm) = all_283_4_273, aNaturalNumber0(xm) = all_267_4_241, yields: % 50.77/18.84 | (965) all_283_4_273 = all_267_4_241 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xm, all_265_4_236, all_267_4_241 and discharging atoms aNaturalNumber0(xm) = all_267_4_241, aNaturalNumber0(xm) = all_265_4_236, yields: % 50.77/18.84 | (966) all_267_4_241 = all_265_4_236 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xm, all_257_3_219, all_285_4_278 and discharging atoms aNaturalNumber0(xm) = all_285_4_278, aNaturalNumber0(xm) = all_257_3_219, yields: % 50.77/18.84 | (967) all_285_4_278 = all_257_3_219 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xm, all_257_3_219, all_261_3_227 and discharging atoms aNaturalNumber0(xm) = all_261_3_227, aNaturalNumber0(xm) = all_257_3_219, yields: % 50.77/18.84 | (968) all_261_3_227 = all_257_3_219 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xm, all_255_2_215, 0 and discharging atoms aNaturalNumber0(xm) = all_255_2_215, aNaturalNumber0(xm) = 0, yields: % 50.77/18.84 | (969) all_255_2_215 = 0 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xm, all_253_2_212, all_255_2_215 and discharging atoms aNaturalNumber0(xm) = all_255_2_215, aNaturalNumber0(xm) = all_253_2_212, yields: % 50.77/18.84 | (970) all_255_2_215 = all_253_2_212 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xm, all_251_2_209, all_255_2_215 and discharging atoms aNaturalNumber0(xm) = all_255_2_215, aNaturalNumber0(xm) = all_251_2_209, yields: % 50.77/18.84 | (971) all_255_2_215 = all_251_2_209 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xm, all_247_2_203, all_265_4_236 and discharging atoms aNaturalNumber0(xm) = all_265_4_236, aNaturalNumber0(xm) = all_247_2_203, yields: % 50.77/18.84 | (972) all_265_4_236 = all_247_2_203 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xm, all_245_8_200, all_257_3_219 and discharging atoms aNaturalNumber0(xm) = all_257_3_219, aNaturalNumber0(xm) = all_245_8_200, yields: % 50.77/18.84 | (973) all_257_3_219 = all_245_8_200 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xm, all_245_8_200, all_247_2_203 and discharging atoms aNaturalNumber0(xm) = all_247_2_203, aNaturalNumber0(xm) = all_245_8_200, yields: % 50.77/18.84 | (974) all_247_2_203 = all_245_8_200 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xm, all_239_2_173, all_251_2_209 and discharging atoms aNaturalNumber0(xm) = all_251_2_209, aNaturalNumber0(xm) = all_239_2_173, yields: % 50.77/18.84 | (975) all_251_2_209 = all_239_2_173 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xm, all_239_2_173, all_245_8_200 and discharging atoms aNaturalNumber0(xm) = all_245_8_200, aNaturalNumber0(xm) = all_239_2_173, yields: % 50.77/18.84 | (976) all_245_8_200 = all_239_2_173 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xm, all_235_2_165, all_261_3_227 and discharging atoms aNaturalNumber0(xm) = all_261_3_227, aNaturalNumber0(xm) = all_235_2_165, yields: % 50.77/18.84 | (977) all_261_3_227 = all_235_2_165 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xm, all_229_2_156, all_283_4_273 and discharging atoms aNaturalNumber0(xm) = all_283_4_273, aNaturalNumber0(xm) = all_229_2_156, yields: % 50.77/18.84 | (978) all_283_4_273 = all_229_2_156 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xm, all_227_2_153, all_285_4_278 and discharging atoms aNaturalNumber0(xm) = all_285_4_278, aNaturalNumber0(xm) = all_227_2_153, yields: % 50.77/18.84 | (979) all_285_4_278 = all_227_2_153 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xn, all_283_3_272, all_285_3_277 and discharging atoms aNaturalNumber0(xn) = all_285_3_277, aNaturalNumber0(xn) = all_283_3_272, yields: % 50.77/18.84 | (980) all_285_3_277 = all_283_3_272 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xn, all_277_4_260, all_285_3_277 and discharging atoms aNaturalNumber0(xn) = all_285_3_277, aNaturalNumber0(xn) = all_277_4_260, yields: % 50.77/18.84 | (981) all_285_3_277 = all_277_4_260 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xn, all_277_4_260, all_279_3_264 and discharging atoms aNaturalNumber0(xn) = all_279_3_264, aNaturalNumber0(xn) = all_277_4_260, yields: % 50.77/18.84 | (982) all_279_3_264 = all_277_4_260 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xn, all_275_4_255, all_285_3_277 and discharging atoms aNaturalNumber0(xn) = all_285_3_277, aNaturalNumber0(xn) = all_275_4_255, yields: % 50.77/18.84 | (983) all_285_3_277 = all_275_4_255 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xn, all_269_2_244, all_279_3_264 and discharging atoms aNaturalNumber0(xn) = all_279_3_264, aNaturalNumber0(xn) = all_269_2_244, yields: % 50.77/18.84 | (984) all_279_3_264 = all_269_2_244 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xn, all_261_4_228, 0 and discharging atoms aNaturalNumber0(xn) = all_261_4_228, aNaturalNumber0(xn) = 0, yields: % 50.77/18.84 | (985) all_261_4_228 = 0 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xn, all_245_7_199, all_283_3_272 and discharging atoms aNaturalNumber0(xn) = all_283_3_272, aNaturalNumber0(xn) = all_245_7_199, yields: % 50.77/18.84 | (986) all_283_3_272 = all_245_7_199 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xn, all_225_2_150, all_283_3_272 and discharging atoms aNaturalNumber0(xn) = all_283_3_272, aNaturalNumber0(xn) = all_225_2_150, yields: % 50.77/18.84 | (987) all_283_3_272 = all_225_2_150 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xn, all_225_2_150, all_261_4_228 and discharging atoms aNaturalNumber0(xn) = all_261_4_228, aNaturalNumber0(xn) = all_225_2_150, yields: % 50.77/18.84 | (988) all_261_4_228 = all_225_2_150 % 50.77/18.84 | % 50.77/18.84 | Instantiating formula (63) with xn, all_223_2_147, all_285_3_277 and discharging atoms aNaturalNumber0(xn) = all_285_3_277, aNaturalNumber0(xn) = all_223_2_147, yields: % 50.77/18.84 | (989) all_285_3_277 = all_223_2_147 % 50.77/18.84 | % 50.77/18.84 | Combining equations (942,941) yields a new equation: % 50.77/18.84 | (990) all_289_8_296 = 0 % 50.77/18.84 | % 50.77/18.84 | Simplifying 990 yields: % 50.77/18.84 | (991) all_289_8_296 = 0 % 50.77/18.84 | % 50.77/18.84 | Combining equations (943,946) yields a new equation: % 50.77/18.84 | (992) all_287_6_285 = all_281_2_268 % 50.77/18.84 | % 50.77/18.84 | Simplifying 992 yields: % 50.77/18.84 | (993) all_287_6_285 = all_281_2_268 % 50.77/18.84 | % 50.77/18.84 | Combining equations (944,946) yields a new equation: % 50.77/18.84 | (994) all_287_8_287 = all_281_2_268 % 50.77/18.84 | % 50.77/18.84 | Simplifying 994 yields: % 50.77/18.84 | (995) all_287_8_287 = all_281_2_268 % 50.77/18.84 | % 50.77/18.84 | Combining equations (954,958) yields a new equation: % 50.77/18.84 | (996) all_285_2_276 = all_245_6_198 % 50.77/18.84 | % 50.77/18.84 | Simplifying 996 yields: % 50.77/18.84 | (997) all_285_2_276 = all_245_6_198 % 50.77/18.84 | % 50.77/18.84 | Combining equations (945,991) yields a new equation: % 50.77/18.84 | (998) all_283_2_271 = 0 % 50.77/18.84 | % 50.77/18.84 | Simplifying 998 yields: % 50.77/18.84 | (999) all_283_2_271 = 0 % 50.77/18.84 | % 50.77/18.84 | Combining equations (951,948) yields a new equation: % 50.77/18.84 | (1000) all_261_2_226 = all_237_2_170 % 50.77/18.84 | % 50.77/18.84 | Combining equations (953,948) yields a new equation: % 50.77/18.84 | (1001) all_261_2_226 = all_235_4_167 % 50.77/18.84 | % 50.77/18.84 | Combining equations (993,948) yields a new equation: % 50.77/18.84 | (1002) all_281_2_268 = all_261_2_226 % 50.77/18.84 | % 50.77/18.84 | Simplifying 1002 yields: % 50.77/18.84 | (1003) all_281_2_268 = all_261_2_226 % 50.77/18.84 | % 50.77/18.84 | Combining equations (925,924) yields a new equation: % 50.77/18.84 | (1004) all_281_1_267 = 0 % 50.77/18.84 | % 50.77/18.84 | Simplifying 1004 yields: % 50.77/18.84 | (1005) all_281_1_267 = 0 % 50.77/18.84 | % 50.77/18.84 | Combining equations (995,950) yields a new equation: % 50.77/18.84 | (1006) all_281_2_268 = all_243_6_189 % 50.77/18.84 | % 50.77/18.84 | Simplifying 1006 yields: % 50.77/18.84 | (1007) all_281_2_268 = all_243_6_189 % 50.77/18.84 | % 50.77/18.84 | Combining equations (956,997) yields a new equation: % 50.77/18.84 | (1008) all_249_2_206 = all_245_6_198 % 50.77/18.84 | % 50.77/18.84 | Simplifying 1008 yields: % 50.77/18.84 | (1009) all_249_2_206 = all_245_6_198 % 50.77/18.84 | % 50.77/18.84 | Combining equations (980,983) yields a new equation: % 50.77/18.84 | (1010) all_283_3_272 = all_275_4_255 % 50.77/18.84 | % 50.77/18.84 | Simplifying 1010 yields: % 50.77/18.84 | (1011) all_283_3_272 = all_275_4_255 % 50.77/18.84 | % 50.77/18.84 | Combining equations (981,983) yields a new equation: % 50.77/18.84 | (1012) all_277_4_260 = all_275_4_255 % 50.77/18.84 | % 50.77/18.84 | Simplifying 1012 yields: % 50.77/18.84 | (1013) all_277_4_260 = all_275_4_255 % 50.77/18.84 | % 50.77/18.84 | Combining equations (989,983) yields a new equation: % 50.77/18.84 | (1014) all_275_4_255 = all_223_2_147 % 50.77/18.84 | % 50.77/18.84 | Combining equations (967,979) yields a new equation: % 50.77/18.84 | (1015) all_257_3_219 = all_227_2_153 % 50.77/18.84 | % 50.77/18.84 | Simplifying 1015 yields: % 50.77/18.84 | (1016) all_257_3_219 = all_227_2_153 % 50.77/18.84 | % 50.77/18.84 | Combining equations (947,999) yields a new equation: % 50.77/18.84 | (1017) all_273_1_249 = 0 % 50.77/18.84 | % 50.77/18.84 | Simplifying 1017 yields: % 50.77/18.84 | (1018) all_273_1_249 = 0 % 50.77/18.84 | % 50.77/18.84 | Combining equations (987,986) yields a new equation: % 50.77/18.84 | (1019) all_245_7_199 = all_225_2_150 % 50.77/18.84 | % 50.77/18.84 | Combining equations (1011,986) yields a new equation: % 50.77/18.84 | (1020) all_275_4_255 = all_245_7_199 % 50.77/18.84 | % 50.77/18.84 | Simplifying 1020 yields: % 50.77/18.84 | (1021) all_275_4_255 = all_245_7_199 % 50.77/18.84 | % 50.77/18.84 | Combining equations (965,978) yields a new equation: % 50.77/18.84 | (1022) all_267_4_241 = all_229_2_156 % 50.77/18.84 | % 50.77/18.84 | Simplifying 1022 yields: % 50.77/18.84 | (1023) all_267_4_241 = all_229_2_156 % 50.77/18.84 | % 50.77/18.84 | Combining equations (926,1005) yields a new equation: % 50.77/18.84 | (1024) all_235_3_166 = 0 % 50.77/18.84 | % 50.77/18.84 | Simplifying 1024 yields: % 50.77/18.84 | (1025) all_235_3_166 = 0 % 50.77/18.84 | % 50.77/18.84 | Combining equations (1003,1007) yields a new equation: % 50.77/18.84 | (1026) all_261_2_226 = all_243_6_189 % 50.77/18.84 | % 50.77/18.84 | Simplifying 1026 yields: % 50.77/18.84 | (1027) all_261_2_226 = all_243_6_189 % 50.77/18.84 | % 50.77/18.84 | Combining equations (982,984) yields a new equation: % 50.77/18.84 | (1028) all_277_4_260 = all_269_2_244 % 50.77/18.84 | % 50.77/18.84 | Simplifying 1028 yields: % 50.77/18.84 | (1029) all_277_4_260 = all_269_2_244 % 50.77/18.84 | % 50.77/18.84 | Combining equations (1013,1029) yields a new equation: % 50.77/18.84 | (1030) all_275_4_255 = all_269_2_244 % 50.77/18.84 | % 50.77/18.84 | Simplifying 1030 yields: % 50.77/18.84 | (1031) all_275_4_255 = all_269_2_244 % 50.77/18.84 | % 50.77/18.84 | Combining equations (1021,1031) yields a new equation: % 50.77/18.84 | (1032) all_269_2_244 = all_245_7_199 % 50.77/18.84 | % 50.77/18.84 | Combining equations (1014,1031) yields a new equation: % 50.77/18.84 | (1033) all_269_2_244 = all_223_2_147 % 50.77/18.84 | % 50.77/18.84 | Combining equations (949,1018) yields a new equation: % 50.77/18.84 | (1034) all_259_1_222 = 0 % 50.77/18.84 | % 50.77/18.84 | Simplifying 1034 yields: % 50.77/18.84 | (1035) all_259_1_222 = 0 % 50.77/18.84 | % 50.77/18.84 | Combining equations (959,963) yields a new equation: % 50.77/18.84 | (1036) all_243_8_191 = all_229_1_155 % 50.77/18.84 | % 50.77/18.84 | Simplifying 1036 yields: % 50.77/18.84 | (1037) all_243_8_191 = all_229_1_155 % 50.77/18.84 | % 50.77/18.84 | Combining equations (1032,1033) yields a new equation: % 50.77/18.84 | (1038) all_245_7_199 = all_223_2_147 % 50.77/18.84 | % 50.77/18.84 | Simplifying 1038 yields: % 50.77/18.84 | (1039) all_245_7_199 = all_223_2_147 % 50.77/18.84 | % 50.77/18.84 | Combining equations (966,1023) yields a new equation: % 50.77/18.84 | (1040) all_265_4_236 = all_229_2_156 % 50.77/18.84 | % 50.77/18.84 | Simplifying 1040 yields: % 50.77/18.84 | (1041) all_265_4_236 = all_229_2_156 % 50.77/18.84 | % 50.77/18.84 | Combining equations (972,1041) yields a new equation: % 50.77/18.84 | (1042) all_247_2_203 = all_229_2_156 % 50.77/18.84 | % 50.77/18.84 | Simplifying 1042 yields: % 50.77/18.84 | (1043) all_247_2_203 = all_229_2_156 % 50.77/18.84 | % 50.77/18.84 | Combining equations (957,955) yields a new equation: % 50.77/18.84 | (1044) all_249_2_206 = 0 % 50.77/18.84 | % 50.77/18.84 | Simplifying 1044 yields: % 50.77/18.84 | (1045) all_249_2_206 = 0 % 50.77/18.84 | % 50.77/18.84 | Combining equations (1001,1027) yields a new equation: % 50.77/18.84 | (1046) all_243_6_189 = all_235_4_167 % 50.77/18.84 | % 50.77/18.84 | Combining equations (1000,1027) yields a new equation: % 50.77/18.84 | (1047) all_243_6_189 = all_237_2_170 % 50.77/18.84 | % 50.77/18.84 | Combining equations (968,977) yields a new equation: % 50.77/18.84 | (1048) all_257_3_219 = all_235_2_165 % 50.77/18.84 | % 50.77/18.84 | Simplifying 1048 yields: % 50.77/18.84 | (1049) all_257_3_219 = all_235_2_165 % 50.77/18.84 | % 50.77/18.84 | Combining equations (988,985) yields a new equation: % 50.77/18.84 | (1050) all_225_2_150 = 0 % 50.77/18.84 | % 50.77/18.84 | Simplifying 1050 yields: % 50.77/18.84 | (1051) all_225_2_150 = 0 % 50.77/18.84 | % 50.77/18.84 | Combining equations (952,1035) yields a new equation: % 50.77/18.84 | (1052) all_237_2_170 = 0 % 50.77/18.84 | % 50.77/18.84 | Simplifying 1052 yields: % 50.77/18.84 | (1053) all_237_2_170 = 0 % 50.77/18.84 | % 50.77/18.84 | Combining equations (973,1049) yields a new equation: % 50.77/18.84 | (1054) all_245_8_200 = all_235_2_165 % 50.77/18.84 | % 50.77/18.84 | Simplifying 1054 yields: % 50.77/18.84 | (1055) all_245_8_200 = all_235_2_165 % 50.77/18.84 | % 50.77/18.84 | Combining equations (1016,1049) yields a new equation: % 50.77/18.84 | (1056) all_235_2_165 = all_227_2_153 % 50.77/18.84 | % 50.77/18.84 | Combining equations (971,970) yields a new equation: % 50.77/18.84 | (1057) all_253_2_212 = all_251_2_209 % 50.77/18.84 | % 50.77/18.84 | Combining equations (969,970) yields a new equation: % 50.77/18.84 | (1058) all_253_2_212 = 0 % 50.77/18.84 | % 50.77/18.84 | Combining equations (936,939) yields a new equation: % 50.77/18.84 | (1059) all_239_1_172 = all_231_2_159 % 50.77/18.85 | % 50.77/18.85 | Simplifying 1059 yields: % 50.77/18.85 | (1060) all_239_1_172 = all_231_2_159 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1057,1058) yields a new equation: % 50.77/18.85 | (1061) all_251_2_209 = 0 % 50.77/18.85 | % 50.77/18.85 | Simplifying 1061 yields: % 50.77/18.85 | (1062) all_251_2_209 = 0 % 50.77/18.85 | % 50.77/18.85 | Combining equations (937,938) yields a new equation: % 50.77/18.85 | (1063) all_239_1_172 = all_233_2_162 % 50.77/18.85 | % 50.77/18.85 | Simplifying 1063 yields: % 50.77/18.85 | (1064) all_239_1_172 = all_233_2_162 % 50.77/18.85 | % 50.77/18.85 | Combining equations (935,938) yields a new equation: % 50.77/18.85 | (1065) all_247_1_202 = all_233_2_162 % 50.77/18.85 | % 50.77/18.85 | Simplifying 1065 yields: % 50.77/18.85 | (1066) all_247_1_202 = all_233_2_162 % 50.77/18.85 | % 50.77/18.85 | Combining equations (975,1062) yields a new equation: % 50.77/18.85 | (1067) all_239_2_173 = 0 % 50.77/18.85 | % 50.77/18.85 | Simplifying 1067 yields: % 50.77/18.85 | (1068) all_239_2_173 = 0 % 50.77/18.85 | % 50.77/18.85 | Combining equations (922,923) yields a new equation: % 50.77/18.85 | (1069) all_243_7_190 = all_241_7_181 % 50.77/18.85 | % 50.77/18.85 | Simplifying 1069 yields: % 50.77/18.85 | (1070) all_243_7_190 = all_241_7_181 % 50.77/18.85 | % 50.77/18.85 | Combining equations (961,1009) yields a new equation: % 50.77/18.85 | (1071) all_245_6_198 = all_241_8_182 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1045,1009) yields a new equation: % 50.77/18.85 | (1072) all_245_6_198 = 0 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1066,934) yields a new equation: % 50.77/18.85 | (1073) all_233_2_162 = all_20_2_26 % 50.77/18.85 | % 50.77/18.85 | Simplifying 1073 yields: % 50.77/18.85 | (1074) all_233_2_162 = all_20_2_26 % 50.77/18.85 | % 50.77/18.85 | Combining equations (974,1043) yields a new equation: % 50.77/18.85 | (1075) all_245_8_200 = all_229_2_156 % 50.77/18.85 | % 50.77/18.85 | Simplifying 1075 yields: % 50.77/18.85 | (1076) all_245_8_200 = all_229_2_156 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1071,1072) yields a new equation: % 50.77/18.85 | (1077) all_241_8_182 = 0 % 50.77/18.85 | % 50.77/18.85 | Simplifying 1077 yields: % 50.77/18.85 | (1078) all_241_8_182 = 0 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1019,1039) yields a new equation: % 50.77/18.85 | (1079) all_225_2_150 = all_223_2_147 % 50.77/18.85 | % 50.77/18.85 | Simplifying 1079 yields: % 50.77/18.85 | (1080) all_225_2_150 = all_223_2_147 % 50.77/18.85 | % 50.77/18.85 | Combining equations (976,1076) yields a new equation: % 50.77/18.85 | (1081) all_239_2_173 = all_229_2_156 % 50.77/18.85 | % 50.77/18.85 | Simplifying 1081 yields: % 50.77/18.85 | (1082) all_239_2_173 = all_229_2_156 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1055,1076) yields a new equation: % 50.77/18.85 | (1083) all_235_2_165 = all_229_2_156 % 50.77/18.85 | % 50.77/18.85 | Simplifying 1083 yields: % 50.77/18.85 | (1084) all_235_2_165 = all_229_2_156 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1047,1046) yields a new equation: % 50.77/18.85 | (1085) all_237_2_170 = all_235_4_167 % 50.77/18.85 | % 50.77/18.85 | Simplifying 1085 yields: % 50.77/18.85 | (1086) all_237_2_170 = all_235_4_167 % 50.77/18.85 | % 50.77/18.85 | Combining equations (921,1070) yields a new equation: % 50.77/18.85 | (1087) all_241_7_181 = 0 % 50.77/18.85 | % 50.77/18.85 | Combining equations (960,1037) yields a new equation: % 50.77/18.85 | (1088) all_241_6_180 = all_229_1_155 % 50.77/18.85 | % 50.77/18.85 | Simplifying 1088 yields: % 50.77/18.85 | (1089) all_241_6_180 = all_229_1_155 % 50.77/18.85 | % 50.77/18.85 | Combining equations (962,1089) yields a new equation: % 50.77/18.85 | (1090) all_241_8_182 = all_229_1_155 % 50.77/18.85 | % 50.77/18.85 | Simplifying 1090 yields: % 50.77/18.85 | (1091) all_241_8_182 = all_229_1_155 % 50.77/18.85 | % 50.77/18.85 | Combining equations (964,1091) yields a new equation: % 50.77/18.85 | (1092) all_229_1_155 = all_227_1_152 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1078,1091) yields a new equation: % 50.77/18.85 | (1093) all_229_1_155 = 0 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1064,1060) yields a new equation: % 50.77/18.85 | (1094) all_233_2_162 = all_231_2_159 % 50.77/18.85 | % 50.77/18.85 | Simplifying 1094 yields: % 50.77/18.85 | (1095) all_233_2_162 = all_231_2_159 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1082,1068) yields a new equation: % 50.77/18.85 | (1096) all_229_2_156 = 0 % 50.77/18.85 | % 50.77/18.85 | Simplifying 1096 yields: % 50.77/18.85 | (1097) all_229_2_156 = 0 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1053,1086) yields a new equation: % 50.77/18.85 | (1098) all_235_4_167 = 0 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1084,1056) yields a new equation: % 50.77/18.85 | (1099) all_229_2_156 = all_227_2_153 % 50.77/18.85 | % 50.77/18.85 | Simplifying 1099 yields: % 50.77/18.85 | (1100) all_229_2_156 = all_227_2_153 % 50.77/18.85 | % 50.77/18.85 | Combining equations (928,930) yields a new equation: % 50.77/18.85 | (1101) all_231_1_158 = all_225_1_149 % 50.77/18.85 | % 50.77/18.85 | Simplifying 1101 yields: % 50.77/18.85 | (1102) all_231_1_158 = all_225_1_149 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1095,1074) yields a new equation: % 50.77/18.85 | (1103) all_231_2_159 = all_20_2_26 % 50.77/18.85 | % 50.77/18.85 | Simplifying 1103 yields: % 50.77/18.85 | (1104) all_231_2_159 = all_20_2_26 % 50.77/18.85 | % 50.77/18.85 | Combining equations (932,929) yields a new equation: % 50.77/18.85 | (1105) all_227_0_151 = all_223_1_146 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1102,929) yields a new equation: % 50.77/18.85 | (1106) all_227_0_151 = all_225_1_149 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1093,1092) yields a new equation: % 50.77/18.85 | (1107) all_227_1_152 = 0 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1100,1097) yields a new equation: % 50.77/18.85 | (1108) all_227_2_153 = 0 % 50.77/18.85 | % 50.77/18.85 | Simplifying 1108 yields: % 50.77/18.85 | (1109) all_227_2_153 = 0 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1105,1106) yields a new equation: % 50.77/18.85 | (1110) all_225_1_149 = all_223_1_146 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1051,1080) yields a new equation: % 50.77/18.85 | (1111) all_223_2_147 = 0 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1110,1106) yields a new equation: % 50.77/18.85 | (1105) all_227_0_151 = all_223_1_146 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1105,929) yields a new equation: % 50.77/18.85 | (932) all_231_1_158 = all_223_1_146 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1104,939) yields a new equation: % 50.77/18.85 | (1114) all_253_1_211 = all_20_2_26 % 50.77/18.85 | % 50.77/18.85 | From (1025) and (717) follows: % 50.77/18.85 | (575) aNaturalNumber0(all_51_2_105) = 0 % 50.77/18.85 | % 50.77/18.85 | From (940) and (684) follows: % 50.77/18.85 | (593) aNaturalNumber0(all_0_10_10) = 0 % 50.77/18.85 | % 50.77/18.85 | From (1098) and (718) follows: % 50.77/18.85 | (92) aNaturalNumber0(xr) = 0 % 50.77/18.85 | % 50.77/18.85 | From (1111) and (685) follows: % 50.77/18.85 | (39) aNaturalNumber0(xn) = 0 % 50.77/18.85 | % 50.77/18.85 +-Applying beta-rule and splitting (696), into two cases. % 50.77/18.85 |-Branch one: % 50.77/18.85 | (1119) ~ (all_227_1_152 = 0) % 50.77/18.85 | % 50.77/18.85 | Equations (1107) can reduce 1119 to: % 50.77/18.85 | (248) $false % 50.77/18.85 | % 50.77/18.85 |-The branch is then unsatisfiable % 50.77/18.85 |-Branch two: % 50.77/18.85 | (1107) all_227_1_152 = 0 % 50.77/18.85 | (1122) ~ (all_227_2_153 = 0) | all_227_0_151 = 0 % 50.77/18.85 | % 50.77/18.85 +-Applying beta-rule and splitting (1122), into two cases. % 50.77/18.85 |-Branch one: % 50.77/18.85 | (1123) ~ (all_227_2_153 = 0) % 50.77/18.85 | % 50.77/18.85 | Equations (1109) can reduce 1123 to: % 50.77/18.85 | (248) $false % 50.77/18.85 | % 50.77/18.85 |-The branch is then unsatisfiable % 50.77/18.85 |-Branch two: % 50.77/18.85 | (1109) all_227_2_153 = 0 % 50.77/18.85 | (1126) all_227_0_151 = 0 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1105,1126) yields a new equation: % 50.77/18.85 | (1127) all_223_1_146 = 0 % 50.77/18.85 | % 50.77/18.85 | Simplifying 1127 yields: % 50.77/18.85 | (1128) all_223_1_146 = 0 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1128,932) yields a new equation: % 50.77/18.85 | (1129) all_231_1_158 = 0 % 50.77/18.85 | % 50.77/18.85 +-Applying beta-rule and splitting (674), into two cases. % 50.77/18.85 |-Branch one: % 50.77/18.85 | (1130) xp = xn % 50.77/18.85 | % 50.77/18.85 | Equations (1130) can reduce 53 to: % 50.77/18.85 | (248) $false % 50.77/18.85 | % 50.77/18.85 |-The branch is then unsatisfiable % 50.77/18.85 |-Branch two: % 50.77/18.85 | (53) ~ (xp = xn) % 50.77/18.85 | (1133) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(xp, xm) = v3 & sdtpldt0(xn, xm) = v4 & aNaturalNumber0(xp) = v1 & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v4 = v3) & ~ (all_22_1_28 = all_0_11_11)))) % 50.77/18.85 | % 50.77/18.85 | Instantiating (1133) with all_421_0_314, all_421_1_315, all_421_2_316, all_421_3_317, all_421_4_318 yields: % 50.77/18.85 | (1134) sdtpldt0(xp, xm) = all_421_1_315 & sdtpldt0(xn, xm) = all_421_0_314 & aNaturalNumber0(xp) = all_421_3_317 & aNaturalNumber0(xm) = all_421_4_318 & aNaturalNumber0(xn) = all_421_2_316 & ( ~ (all_421_2_316 = 0) | ~ (all_421_3_317 = 0) | ~ (all_421_4_318 = 0) | ( ~ (all_421_0_314 = all_421_1_315) & ~ (all_22_1_28 = all_0_11_11))) % 50.77/18.85 | % 50.77/18.85 | Applying alpha-rule on (1134) yields: % 50.77/18.85 | (1135) sdtpldt0(xn, xm) = all_421_0_314 % 50.77/18.85 | (1136) ~ (all_421_2_316 = 0) | ~ (all_421_3_317 = 0) | ~ (all_421_4_318 = 0) | ( ~ (all_421_0_314 = all_421_1_315) & ~ (all_22_1_28 = all_0_11_11)) % 50.77/18.85 | (1137) aNaturalNumber0(xp) = all_421_3_317 % 50.77/18.85 | (1138) aNaturalNumber0(xn) = all_421_2_316 % 50.77/18.85 | (1139) sdtpldt0(xp, xm) = all_421_1_315 % 50.77/18.85 | (1140) aNaturalNumber0(xm) = all_421_4_318 % 50.77/18.85 | % 50.77/18.85 +-Applying beta-rule and splitting (642), into two cases. % 50.77/18.85 |-Branch one: % 50.77/18.85 | (1141) all_103_0_143 = xr % 50.77/18.85 | % 50.77/18.85 | Equations (1141) can reduce 339 to: % 50.77/18.85 | (102) ~ (xr = sz00) % 50.77/18.85 | % 50.77/18.85 | From (1141) and (329) follows: % 50.77/18.85 | (92) aNaturalNumber0(xr) = 0 % 50.77/18.85 | % 50.77/18.85 | Instantiating formula (63) with xn, all_421_2_316, 0 and discharging atoms aNaturalNumber0(xn) = all_421_2_316, aNaturalNumber0(xn) = 0, yields: % 50.77/18.85 | (1144) all_421_2_316 = 0 % 50.77/18.85 | % 50.77/18.85 | From (1144) and (1138) follows: % 50.77/18.85 | (39) aNaturalNumber0(xn) = 0 % 50.77/18.85 | % 50.77/18.85 +-Applying beta-rule and splitting (647), into two cases. % 50.77/18.85 |-Branch one: % 50.77/18.85 | (314) xr = sz00 % 50.77/18.85 | % 50.77/18.85 | Equations (314) can reduce 102 to: % 50.77/18.85 | (248) $false % 50.77/18.85 | % 50.77/18.85 |-The branch is then unsatisfiable % 50.77/18.85 |-Branch two: % 50.77/18.85 | (102) ~ (xr = sz00) % 50.77/18.85 | (1149) all_51_2_105 = all_0_5_5 | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & aNaturalNumber0(all_51_2_105) = v0) | (doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))) % 50.77/18.85 | % 50.77/18.85 +-Applying beta-rule and splitting (1149), into two cases. % 50.77/18.85 |-Branch one: % 50.77/18.85 | (1150) all_51_2_105 = all_0_5_5 % 50.77/18.85 | % 50.77/18.85 | From (1150) and (575) follows: % 50.77/18.85 | (1151) aNaturalNumber0(all_0_5_5) = 0 % 50.77/18.85 | % 50.77/18.85 +-Applying beta-rule and splitting (933), into two cases. % 50.77/18.85 |-Branch one: % 50.77/18.85 | (1152) ~ (aNaturalNumber0(all_0_5_5) = all_241_7_181) % 50.77/18.85 | % 50.77/18.85 | From (1087) and (1152) follows: % 50.77/18.85 | (1153) ~ (aNaturalNumber0(all_0_5_5) = 0) % 50.77/18.85 | % 50.77/18.85 | Using (1151) and (1153) yields: % 50.77/18.85 | (581) $false % 50.77/18.85 | % 50.77/18.85 |-The branch is then unsatisfiable % 50.77/18.85 |-Branch two: % 50.77/18.85 | (1155) aNaturalNumber0(all_0_5_5) = all_241_7_181 % 50.77/18.85 | (1156) all_253_1_211 = all_241_7_181 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1156,1114) yields a new equation: % 50.77/18.85 | (1157) all_241_7_181 = all_20_2_26 % 50.77/18.85 | % 50.77/18.85 | Simplifying 1157 yields: % 50.77/18.85 | (1158) all_241_7_181 = all_20_2_26 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1087,1158) yields a new equation: % 50.77/18.85 | (1159) all_20_2_26 = 0 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1159,491) yields a new equation: % 50.77/18.85 | (1160) all_22_4_31 = 0 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1159,508) yields a new equation: % 50.77/18.85 | (1161) all_26_8_43 = 0 % 50.77/18.85 | % 50.77/18.85 | Combining equations (1159,1104) yields a new equation: % 50.77/18.85 | (1162) all_231_2_159 = 0 % 50.77/18.85 | % 50.77/18.85 +-Applying beta-rule and splitting (706), into two cases. % 50.77/18.85 |-Branch one: % 50.77/18.85 | (1163) ~ (all_231_1_158 = 0) % 50.77/18.86 | % 50.77/18.86 | Equations (1129) can reduce 1163 to: % 50.77/18.86 | (248) $false % 50.77/18.86 | % 50.77/18.86 |-The branch is then unsatisfiable % 50.77/18.86 |-Branch two: % 50.77/18.86 | (1129) all_231_1_158 = 0 % 50.77/18.86 | (1166) ~ (all_231_2_159 = 0) | all_231_0_157 = 0 % 50.77/18.86 | % 50.77/18.86 +-Applying beta-rule and splitting (1166), into two cases. % 50.77/18.86 |-Branch one: % 50.77/18.86 | (1167) ~ (all_231_2_159 = 0) % 50.77/18.86 | % 50.77/18.86 | Equations (1162) can reduce 1167 to: % 50.77/18.86 | (248) $false % 50.77/18.86 | % 50.77/18.86 |-The branch is then unsatisfiable % 50.77/18.86 |-Branch two: % 50.77/18.86 | (1162) all_231_2_159 = 0 % 50.77/18.86 | (1170) all_231_0_157 = 0 % 50.77/18.86 | % 50.77/18.86 | From (1170) and (703) follows: % 50.77/18.86 | (1171) aNaturalNumber0(all_22_0_27) = 0 % 50.77/18.86 | % 50.77/18.86 +-Applying beta-rule and splitting (173), into two cases. % 50.77/18.86 |-Branch one: % 50.77/18.86 | (1172) ~ (all_26_2_37 = 0) % 50.77/18.86 | % 50.77/18.86 +-Applying beta-rule and splitting (159), into two cases. % 50.77/18.86 |-Branch one: % 50.77/18.86 | (1173) ~ (all_20_1_25 = 0) % 50.77/18.86 | % 50.77/18.86 | Equations (504) can reduce 1173 to: % 50.77/18.86 | (248) $false % 50.77/18.86 | % 50.77/18.86 |-The branch is then unsatisfiable % 50.77/18.86 |-Branch two: % 50.77/18.86 | (504) all_20_1_25 = 0 % 50.77/18.86 | (1176) ~ (all_20_2_26 = 0) | all_20_0_24 = 0 % 50.77/18.86 | % 50.77/18.86 +-Applying beta-rule and splitting (1176), into two cases. % 50.77/18.86 |-Branch one: % 50.77/18.86 | (1177) ~ (all_20_2_26 = 0) % 50.77/18.86 | % 50.77/18.86 | Equations (1159) can reduce 1177 to: % 50.77/18.86 | (248) $false % 50.77/18.86 | % 50.77/18.86 |-The branch is then unsatisfiable % 50.77/18.86 |-Branch two: % 50.77/18.86 | (1159) all_20_2_26 = 0 % 50.77/18.86 | (1180) all_20_0_24 = 0 % 50.77/18.86 | % 50.77/18.86 | Combining equations (1180,475) yields a new equation: % 50.77/18.86 | (1181) all_18_2_23 = 0 % 50.77/18.86 | % 50.77/18.86 | Combining equations (1181,355) yields a new equation: % 50.77/18.86 | (1182) all_30_2_49 = 0 % 50.77/18.86 | % 50.77/18.86 +-Applying beta-rule and splitting (163), into two cases. % 50.77/18.86 |-Branch one: % 50.77/18.86 | (1183) ~ (all_22_2_29 = 0) % 50.77/18.86 | % 50.77/18.86 | Equations (506) can reduce 1183 to: % 50.77/18.86 | (248) $false % 50.77/18.86 | % 50.77/18.86 |-The branch is then unsatisfiable % 50.77/18.86 |-Branch two: % 50.77/18.86 | (506) all_22_2_29 = 0 % 50.77/18.86 | (1186) ~ (all_22_3_30 = 0) | ~ (all_22_4_31 = 0) | all_22_0_27 = all_0_2_2 % 50.77/18.86 | % 50.77/18.86 +-Applying beta-rule and splitting (1186), into two cases. % 50.77/18.86 |-Branch one: % 50.77/18.86 | (1187) ~ (all_22_3_30 = 0) % 50.77/18.86 | % 50.77/18.86 | Equations (505) can reduce 1187 to: % 50.77/18.86 | (248) $false % 50.77/18.86 | % 50.77/18.86 |-The branch is then unsatisfiable % 50.77/18.86 |-Branch two: % 50.77/18.86 | (505) all_22_3_30 = 0 % 50.77/18.86 | (1190) ~ (all_22_4_31 = 0) | all_22_0_27 = all_0_2_2 % 50.77/18.86 | % 50.77/18.86 +-Applying beta-rule and splitting (1190), into two cases. % 50.77/18.86 |-Branch one: % 50.77/18.86 | (1191) ~ (all_22_4_31 = 0) % 50.77/18.86 | % 50.77/18.86 | Equations (1160) can reduce 1191 to: % 50.77/18.86 | (248) $false % 50.77/18.86 | % 50.77/18.86 |-The branch is then unsatisfiable % 50.77/18.86 |-Branch two: % 50.77/18.86 | (1160) all_22_4_31 = 0 % 50.77/18.86 | (1194) all_22_0_27 = all_0_2_2 % 50.77/18.86 | % 50.77/18.86 | From (1194) and (1171) follows: % 50.77/18.86 | (1195) aNaturalNumber0(all_0_2_2) = 0 % 50.77/18.86 | % 50.77/18.86 +-Applying beta-rule and splitting (931), into two cases. % 50.77/18.86 |-Branch one: % 50.77/18.86 | (1196) ~ (aNaturalNumber0(all_0_2_2) = all_223_1_146) % 50.77/18.86 | % 50.77/18.86 | From (1128) and (1196) follows: % 50.77/18.86 | (1197) ~ (aNaturalNumber0(all_0_2_2) = 0) % 50.77/18.86 | % 50.77/18.86 | Using (1195) and (1197) yields: % 50.77/18.86 | (581) $false % 50.77/18.86 | % 50.77/18.86 |-The branch is then unsatisfiable % 50.77/18.86 |-Branch two: % 50.77/18.86 | (1199) aNaturalNumber0(all_0_2_2) = all_223_1_146 % 50.77/18.86 | (1200) all_223_1_146 = all_18_0_21 % 50.77/18.86 | % 50.77/18.86 | Combining equations (1128,1200) yields a new equation: % 50.77/18.86 | (1201) all_18_0_21 = 0 % 50.77/18.86 | % 50.77/18.86 +-Applying beta-rule and splitting (643), into two cases. % 50.77/18.86 |-Branch one: % 50.77/18.86 | (1202) all_26_2_37 = 0 % 50.77/18.86 | % 50.77/18.86 | Equations (1202) can reduce 1172 to: % 50.77/18.86 | (248) $false % 50.77/18.86 | % 50.77/18.86 |-The branch is then unsatisfiable % 50.77/18.86 |-Branch two: % 50.77/18.86 | (1172) ~ (all_26_2_37 = 0) % 50.77/18.86 | (1205) all_0_2_2 = all_0_10_10 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_0_2_2, all_0_10_10) = v2 & aNaturalNumber0(all_0_2_2) = v0 & aNaturalNumber0(all_0_10_10) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 50.77/18.86 | % 50.77/18.86 +-Applying beta-rule and splitting (1205), into two cases. % 50.77/18.86 |-Branch one: % 50.77/18.86 | (257) all_0_2_2 = all_0_10_10 % 50.77/18.86 | % 50.77/18.86 | Equations (257) can reduce 96 to: % 50.77/18.86 | (248) $false % 50.77/18.86 | % 50.77/18.86 |-The branch is then unsatisfiable % 50.77/18.86 |-Branch two: % 50.77/18.86 | (96) ~ (all_0_2_2 = all_0_10_10) % 50.77/18.86 | (1209) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_0_2_2, all_0_10_10) = v2 & aNaturalNumber0(all_0_2_2) = v0 & aNaturalNumber0(all_0_10_10) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 50.77/18.86 | % 50.77/18.86 | Instantiating (1209) with all_685_0_332, all_685_1_333, all_685_2_334 yields: % 50.77/18.86 | (1210) sdtlseqdt0(all_0_2_2, all_0_10_10) = all_685_0_332 & aNaturalNumber0(all_0_2_2) = all_685_2_334 & aNaturalNumber0(all_0_10_10) = all_685_1_333 & ( ~ (all_685_0_332 = 0) | ~ (all_685_1_333 = 0) | ~ (all_685_2_334 = 0)) % 50.77/18.86 | % 50.77/18.86 | Applying alpha-rule on (1210) yields: % 50.77/18.86 | (1211) sdtlseqdt0(all_0_2_2, all_0_10_10) = all_685_0_332 % 50.77/18.86 | (1212) aNaturalNumber0(all_0_2_2) = all_685_2_334 % 50.77/18.86 | (1213) aNaturalNumber0(all_0_10_10) = all_685_1_333 % 50.77/18.86 | (1214) ~ (all_685_0_332 = 0) | ~ (all_685_1_333 = 0) | ~ (all_685_2_334 = 0) % 50.77/18.86 | % 50.77/18.86 +-Applying beta-rule and splitting (192), into two cases. % 50.77/18.86 |-Branch one: % 50.77/18.86 | (1215) ~ (all_30_1_48 = 0) % 50.77/18.86 | % 50.77/18.86 | Equations (461) can reduce 1215 to: % 50.77/18.86 | (248) $false % 50.77/18.86 | % 50.77/18.86 |-The branch is then unsatisfiable % 50.77/18.86 |-Branch two: % 50.77/18.86 | (461) all_30_1_48 = 0 % 50.77/18.86 | (1218) ~ (all_30_2_49 = 0) | all_30_0_47 = all_0_2_2 % 50.77/18.86 | % 50.77/18.86 +-Applying beta-rule and splitting (1218), into two cases. % 50.77/18.86 |-Branch one: % 50.77/18.86 | (1219) ~ (all_30_2_49 = 0) % 50.77/18.86 | % 50.77/18.86 | Equations (1182) can reduce 1219 to: % 50.77/18.86 | (248) $false % 50.77/18.86 | % 50.77/18.86 |-The branch is then unsatisfiable % 50.77/18.86 |-Branch two: % 50.77/18.86 | (1182) all_30_2_49 = 0 % 50.77/18.86 | (1222) all_30_0_47 = all_0_2_2 % 50.77/18.86 | % 50.77/18.86 | From (1222) and (807) follows: % 50.77/18.86 | (1223) aNaturalNumber0(all_0_2_2) = all_263_0_229 % 50.77/18.86 | % 50.77/18.86 +-Applying beta-rule and splitting (927), into two cases. % 50.77/18.86 |-Branch one: % 50.77/18.86 | (1224) ~ (aNaturalNumber0(all_0_2_2) = all_263_0_229) % 50.77/18.86 | % 50.77/18.86 | Using (1223) and (1224) yields: % 50.77/18.86 | (581) $false % 50.77/18.86 | % 50.77/18.86 |-The branch is then unsatisfiable % 50.77/18.86 |-Branch two: % 50.77/18.86 | (1223) aNaturalNumber0(all_0_2_2) = all_263_0_229 % 50.77/18.86 | (1227) all_263_0_229 = all_18_0_21 % 50.77/18.86 | % 50.77/18.86 | Combining equations (1201,1227) yields a new equation: % 50.77/18.86 | (1228) all_263_0_229 = 0 % 50.77/18.86 | % 50.77/18.86 | From (1228) and (1223) follows: % 50.77/18.86 | (1195) aNaturalNumber0(all_0_2_2) = 0 % 50.77/18.86 | % 50.77/18.86 | Instantiating formula (42) with all_0_2_2, all_0_10_10, all_685_0_332, 0 and discharging atoms sdtlseqdt0(all_0_2_2, all_0_10_10) = all_685_0_332, sdtlseqdt0(all_0_2_2, all_0_10_10) = 0, yields: % 50.77/18.86 | (1230) all_685_0_332 = 0 % 50.77/18.86 | % 50.77/18.86 | Instantiating formula (63) with all_0_2_2, all_685_2_334, 0 and discharging atoms aNaturalNumber0(all_0_2_2) = all_685_2_334, aNaturalNumber0(all_0_2_2) = 0, yields: % 50.77/18.86 | (1231) all_685_2_334 = 0 % 50.77/18.86 | % 50.77/18.86 | Instantiating formula (63) with all_0_10_10, all_685_1_333, 0 and discharging atoms aNaturalNumber0(all_0_10_10) = all_685_1_333, aNaturalNumber0(all_0_10_10) = 0, yields: % 50.77/18.86 | (1232) all_685_1_333 = 0 % 50.77/18.86 | % 50.77/18.86 +-Applying beta-rule and splitting (1214), into two cases. % 50.77/18.86 |-Branch one: % 50.77/18.86 | (1233) ~ (all_685_0_332 = 0) % 50.77/18.86 | % 50.77/18.86 | Equations (1230) can reduce 1233 to: % 50.77/18.86 | (248) $false % 50.77/18.86 | % 50.77/18.86 |-The branch is then unsatisfiable % 50.77/18.86 |-Branch two: % 50.77/18.86 | (1230) all_685_0_332 = 0 % 50.77/18.86 | (1236) ~ (all_685_1_333 = 0) | ~ (all_685_2_334 = 0) % 50.77/18.86 | % 50.77/18.86 +-Applying beta-rule and splitting (1236), into two cases. % 50.77/18.86 |-Branch one: % 50.77/18.86 | (1237) ~ (all_685_1_333 = 0) % 50.77/18.86 | % 50.77/18.86 | Equations (1232) can reduce 1237 to: % 50.77/18.86 | (248) $false % 50.77/18.86 | % 50.77/18.86 |-The branch is then unsatisfiable % 50.77/18.86 |-Branch two: % 50.77/18.86 | (1232) all_685_1_333 = 0 % 50.77/18.86 | (1240) ~ (all_685_2_334 = 0) % 50.77/18.86 | % 50.77/18.86 | Equations (1231) can reduce 1240 to: % 50.77/18.86 | (248) $false % 50.77/18.86 | % 50.77/18.86 |-The branch is then unsatisfiable % 50.77/18.86 |-Branch two: % 50.77/18.86 | (1202) all_26_2_37 = 0 % 50.77/18.86 | (1243) ~ (all_26_5_40 = 0) | ~ (all_26_6_41 = 0) | ~ (all_26_7_42 = 0) | ~ (all_26_8_43 = 0) | all_26_0_35 = 0 | all_26_1_36 = 0 % 50.77/18.86 | % 50.77/18.86 +-Applying beta-rule and splitting (1243), into two cases. % 50.77/18.86 |-Branch one: % 50.77/18.86 | (1244) ~ (all_26_5_40 = 0) % 50.77/18.86 | % 50.77/18.86 | Equations (444) can reduce 1244 to: % 50.77/18.86 | (248) $false % 50.77/18.86 | % 50.77/18.86 |-The branch is then unsatisfiable % 50.77/18.86 |-Branch two: % 50.77/18.86 | (444) all_26_5_40 = 0 % 50.77/18.86 | (1247) ~ (all_26_6_41 = 0) | ~ (all_26_7_42 = 0) | ~ (all_26_8_43 = 0) | all_26_0_35 = 0 | all_26_1_36 = 0 % 50.77/18.86 | % 50.77/18.86 +-Applying beta-rule and splitting (1247), into two cases. % 50.77/18.86 |-Branch one: % 50.77/18.86 | (1248) ~ (all_26_6_41 = 0) % 50.77/18.86 | % 50.77/18.86 | Equations (510) can reduce 1248 to: % 50.77/18.86 | (248) $false % 50.77/18.86 | % 50.77/18.86 |-The branch is then unsatisfiable % 50.77/18.86 |-Branch two: % 50.77/18.86 | (510) all_26_6_41 = 0 % 50.77/18.86 | (1251) ~ (all_26_7_42 = 0) | ~ (all_26_8_43 = 0) | all_26_0_35 = 0 | all_26_1_36 = 0 % 50.77/18.86 | % 50.77/18.86 +-Applying beta-rule and splitting (1251), into two cases. % 50.77/18.86 |-Branch one: % 50.77/18.86 | (1252) ~ (all_26_7_42 = 0) % 50.77/18.86 | % 50.77/18.86 | Equations (509) can reduce 1252 to: % 50.77/18.86 | (248) $false % 50.77/18.86 | % 50.77/18.86 |-The branch is then unsatisfiable % 50.77/18.86 |-Branch two: % 50.77/18.86 | (509) all_26_7_42 = 0 % 50.77/18.86 | (1255) ~ (all_26_8_43 = 0) | all_26_0_35 = 0 | all_26_1_36 = 0 % 50.77/18.86 | % 50.77/18.86 +-Applying beta-rule and splitting (1255), into two cases. % 50.77/18.86 |-Branch one: % 50.77/18.86 | (1256) ~ (all_26_8_43 = 0) % 50.77/18.86 | % 50.77/18.86 | Equations (1161) can reduce 1256 to: % 50.77/18.86 | (248) $false % 50.77/18.86 | % 50.77/18.86 |-The branch is then unsatisfiable % 50.77/18.86 |-Branch two: % 50.77/18.86 | (1161) all_26_8_43 = 0 % 50.77/18.86 | (1259) all_26_0_35 = 0 | all_26_1_36 = 0 % 50.77/18.86 | % 50.77/18.86 +-Applying beta-rule and splitting (1259), into two cases. % 50.77/18.86 |-Branch one: % 50.77/18.86 | (1260) all_26_0_35 = 0 % 50.77/18.86 | % 50.77/18.86 | Combining equations (443,1260) yields a new equation: % 50.77/18.86 | (1261) all_0_0_0 = 0 % 50.77/18.86 | % 50.77/18.86 | Simplifying 1261 yields: % 50.77/18.86 | (247) all_0_0_0 = 0 % 50.77/18.86 | % 50.77/18.86 | Equations (247) can reduce 74 to: % 50.77/18.86 | (248) $false % 50.77/18.86 | % 50.77/18.86 |-The branch is then unsatisfiable % 50.77/18.86 |-Branch two: % 50.77/18.86 | (1264) ~ (all_26_0_35 = 0) % 50.77/18.86 | (1265) all_26_1_36 = 0 % 50.77/18.86 | % 50.77/18.86 | Combining equations (344,1265) yields a new equation: % 50.77/18.86 | (1266) all_0_1_1 = 0 % 50.77/18.86 | % 50.77/18.86 | Simplifying 1266 yields: % 50.77/18.86 | (294) all_0_1_1 = 0 % 50.77/18.86 | % 50.77/18.86 | Equations (294) can reduce 19 to: % 50.77/18.86 | (248) $false % 50.77/18.86 | % 50.77/18.86 |-The branch is then unsatisfiable % 50.77/18.86 |-Branch two: % 50.77/18.86 | (1269) ~ (all_51_2_105 = all_0_5_5) % 50.77/18.87 | (1270) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & aNaturalNumber0(all_51_2_105) = v0) | (doDivides0(xr, xn) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))) % 50.77/18.87 | % 50.77/18.87 | Instantiating (1270) with all_563_0_344, all_563_1_345, all_563_2_346 yields: % 50.77/18.87 | (1271) ( ~ (all_563_2_346 = 0) & aNaturalNumber0(all_51_2_105) = all_563_2_346) | (doDivides0(xr, xn) = all_563_0_344 & aNaturalNumber0(xr) = all_563_2_346 & aNaturalNumber0(xn) = all_563_1_345 & ( ~ (all_563_0_344 = 0) | ~ (all_563_1_345 = 0) | ~ (all_563_2_346 = 0))) % 50.77/18.87 | % 50.77/18.87 +-Applying beta-rule and splitting (1271), into two cases. % 50.77/18.87 |-Branch one: % 50.77/18.87 | (1272) ~ (all_563_2_346 = 0) & aNaturalNumber0(all_51_2_105) = all_563_2_346 % 50.77/18.87 | % 50.77/18.87 | Applying alpha-rule on (1272) yields: % 50.77/18.87 | (1273) ~ (all_563_2_346 = 0) % 50.77/18.87 | (1274) aNaturalNumber0(all_51_2_105) = all_563_2_346 % 50.77/18.87 | % 50.77/18.87 | Instantiating formula (63) with all_51_2_105, all_563_2_346, 0 and discharging atoms aNaturalNumber0(all_51_2_105) = all_563_2_346, aNaturalNumber0(all_51_2_105) = 0, yields: % 50.77/18.87 | (1275) all_563_2_346 = 0 % 50.77/18.87 | % 50.77/18.87 | Equations (1275) can reduce 1273 to: % 50.77/18.87 | (248) $false % 50.77/18.87 | % 50.77/18.87 |-The branch is then unsatisfiable % 50.77/18.87 |-Branch two: % 50.77/18.87 | (1277) doDivides0(xr, xn) = all_563_0_344 & aNaturalNumber0(xr) = all_563_2_346 & aNaturalNumber0(xn) = all_563_1_345 & ( ~ (all_563_0_344 = 0) | ~ (all_563_1_345 = 0) | ~ (all_563_2_346 = 0)) % 50.77/18.87 | % 50.77/18.87 | Applying alpha-rule on (1277) yields: % 50.77/18.87 | (1278) doDivides0(xr, xn) = all_563_0_344 % 50.77/18.87 | (1279) aNaturalNumber0(xr) = all_563_2_346 % 50.77/18.87 | (1280) aNaturalNumber0(xn) = all_563_1_345 % 50.77/18.87 | (1281) ~ (all_563_0_344 = 0) | ~ (all_563_1_345 = 0) | ~ (all_563_2_346 = 0) % 50.77/18.87 | % 50.77/18.87 | Instantiating formula (34) with xr, xn, all_563_0_344, 0 and discharging atoms doDivides0(xr, xn) = all_563_0_344, doDivides0(xr, xn) = 0, yields: % 50.77/18.87 | (1282) all_563_0_344 = 0 % 50.77/18.87 | % 50.77/18.87 | Instantiating formula (63) with xr, all_563_2_346, 0 and discharging atoms aNaturalNumber0(xr) = all_563_2_346, aNaturalNumber0(xr) = 0, yields: % 50.77/18.87 | (1275) all_563_2_346 = 0 % 50.77/18.87 | % 50.77/18.87 | Instantiating formula (63) with xn, all_563_1_345, 0 and discharging atoms aNaturalNumber0(xn) = all_563_1_345, aNaturalNumber0(xn) = 0, yields: % 50.77/18.87 | (1284) all_563_1_345 = 0 % 50.77/18.87 | % 50.77/18.87 +-Applying beta-rule and splitting (1281), into two cases. % 50.77/18.87 |-Branch one: % 50.77/18.87 | (1285) ~ (all_563_0_344 = 0) % 50.77/18.87 | % 50.77/18.87 | Equations (1282) can reduce 1285 to: % 50.77/18.87 | (248) $false % 50.77/18.87 | % 50.77/18.87 |-The branch is then unsatisfiable % 50.77/18.87 |-Branch two: % 50.77/18.87 | (1282) all_563_0_344 = 0 % 50.77/18.87 | (1288) ~ (all_563_1_345 = 0) | ~ (all_563_2_346 = 0) % 50.77/18.87 | % 50.77/18.87 +-Applying beta-rule and splitting (1288), into two cases. % 50.77/18.87 |-Branch one: % 50.77/18.87 | (1289) ~ (all_563_1_345 = 0) % 50.77/18.87 | % 50.77/18.87 | Equations (1284) can reduce 1289 to: % 50.77/18.87 | (248) $false % 50.77/18.87 | % 50.77/18.87 |-The branch is then unsatisfiable % 50.77/18.87 |-Branch two: % 50.77/18.87 | (1284) all_563_1_345 = 0 % 50.77/18.87 | (1273) ~ (all_563_2_346 = 0) % 50.77/18.87 | % 50.77/18.87 | Equations (1275) can reduce 1273 to: % 50.77/18.87 | (248) $false % 50.77/18.87 | % 50.77/18.87 |-The branch is then unsatisfiable % 50.77/18.87 |-Branch two: % 50.77/18.87 | (1294) ~ (all_103_0_143 = xr) % 50.77/18.87 | (1295) all_103_0_143 = sz10 | ? [v0] : (( ~ (v0 = 0) & aNaturalNumber0(all_103_0_143) = v0) | ( ~ (v0 = 0) & aNaturalNumber0(xr) = v0)) % 50.77/18.87 | % 50.77/18.87 +-Applying beta-rule and splitting (1295), into two cases. % 50.77/18.87 |-Branch one: % 50.77/18.87 | (917) all_103_0_143 = sz10 % 50.77/18.87 | % 50.77/18.87 | Equations (917) can reduce 338 to: % 50.77/18.87 | (248) $false % 50.77/18.87 | % 50.77/18.87 |-The branch is then unsatisfiable % 50.77/18.87 |-Branch two: % 50.77/18.87 | (338) ~ (all_103_0_143 = sz10) % 50.77/18.87 | (1299) ? [v0] : (( ~ (v0 = 0) & aNaturalNumber0(all_103_0_143) = v0) | ( ~ (v0 = 0) & aNaturalNumber0(xr) = v0)) % 50.77/18.87 | % 50.77/18.87 | Instantiating (1299) with all_523_0_362 yields: % 50.77/18.87 | (1300) ( ~ (all_523_0_362 = 0) & aNaturalNumber0(all_103_0_143) = all_523_0_362) | ( ~ (all_523_0_362 = 0) & aNaturalNumber0(xr) = all_523_0_362) % 50.77/18.87 | % 50.77/18.87 +-Applying beta-rule and splitting (1300), into two cases. % 50.77/18.87 |-Branch one: % 50.77/18.87 | (1301) ~ (all_523_0_362 = 0) & aNaturalNumber0(all_103_0_143) = all_523_0_362 % 50.77/18.87 | % 50.77/18.87 | Applying alpha-rule on (1301) yields: % 50.77/18.87 | (1302) ~ (all_523_0_362 = 0) % 50.77/18.87 | (1303) aNaturalNumber0(all_103_0_143) = all_523_0_362 % 50.77/18.87 | % 50.77/18.87 | Instantiating formula (63) with all_103_0_143, all_523_0_362, 0 and discharging atoms aNaturalNumber0(all_103_0_143) = all_523_0_362, aNaturalNumber0(all_103_0_143) = 0, yields: % 50.77/18.87 | (1304) all_523_0_362 = 0 % 50.77/18.87 | % 50.77/18.87 | Equations (1304) can reduce 1302 to: % 50.77/18.87 | (248) $false % 50.77/18.87 | % 50.77/18.87 |-The branch is then unsatisfiable % 50.77/18.87 |-Branch two: % 50.77/18.87 | (1306) ~ (all_523_0_362 = 0) & aNaturalNumber0(xr) = all_523_0_362 % 50.77/18.87 | % 50.77/18.87 | Applying alpha-rule on (1306) yields: % 50.77/18.87 | (1302) ~ (all_523_0_362 = 0) % 50.77/18.87 | (1308) aNaturalNumber0(xr) = all_523_0_362 % 50.77/18.87 | % 50.77/18.87 | Instantiating formula (63) with xr, all_523_0_362, 0 and discharging atoms aNaturalNumber0(xr) = all_523_0_362, aNaturalNumber0(xr) = 0, yields: % 50.77/18.87 | (1304) all_523_0_362 = 0 % 50.77/18.87 | % 50.77/18.87 | Equations (1304) can reduce 1302 to: % 50.77/18.87 | (248) $false % 50.77/18.87 | % 50.77/18.87 |-The branch is then unsatisfiable % 50.77/18.87 |-Branch two: % 50.77/18.87 | (1311) aNaturalNumber0(xp) = all_46_1_89 & aNaturalNumber0(xn) = all_46_2_90 & ( ~ (all_46_1_89 = 0) | ~ (all_46_2_90 = 0)) % 50.77/18.87 | % 50.77/18.87 | Applying alpha-rule on (1311) yields: % 50.77/18.87 | (1312) aNaturalNumber0(xp) = all_46_1_89 % 50.77/18.87 | (1313) aNaturalNumber0(xn) = all_46_2_90 % 50.77/18.87 | (1314) ~ (all_46_1_89 = 0) | ~ (all_46_2_90 = 0) % 50.77/18.87 | % 50.77/18.87 | Instantiating formula (63) with xp, all_46_1_89, 0 and discharging atoms aNaturalNumber0(xp) = all_46_1_89, aNaturalNumber0(xp) = 0, yields: % 50.77/18.87 | (629) all_46_1_89 = 0 % 50.77/18.87 | % 50.77/18.87 | Instantiating formula (63) with xn, all_46_2_90, 0 and discharging atoms aNaturalNumber0(xn) = all_46_2_90, aNaturalNumber0(xn) = 0, yields: % 50.77/18.87 | (1316) all_46_2_90 = 0 % 50.77/18.87 | % 50.77/18.87 +-Applying beta-rule and splitting (1314), into two cases. % 50.77/18.87 |-Branch one: % 50.77/18.87 | (1317) ~ (all_46_1_89 = 0) % 50.77/18.87 | % 50.77/18.87 | Equations (629) can reduce 1317 to: % 50.77/18.87 | (248) $false % 50.77/18.87 | % 50.77/18.87 |-The branch is then unsatisfiable % 50.77/18.87 |-Branch two: % 50.77/18.87 | (629) all_46_1_89 = 0 % 50.77/18.87 | (1320) ~ (all_46_2_90 = 0) % 50.77/18.87 | % 50.77/18.87 | Equations (1316) can reduce 1320 to: % 50.77/18.87 | (248) $false % 50.77/18.87 | % 50.77/18.87 |-The branch is then unsatisfiable % 50.77/18.87 |-Branch two: % 50.77/18.87 | (1322) aNaturalNumber0(all_0_9_9) = all_53_1_110 & aNaturalNumber0(xr) = all_53_2_111 & ( ~ (all_53_1_110 = 0) | ~ (all_53_2_111 = 0)) % 50.77/18.87 | % 50.77/18.87 | Applying alpha-rule on (1322) yields: % 50.77/18.87 | (1323) aNaturalNumber0(all_0_9_9) = all_53_1_110 % 50.77/18.87 | (1324) aNaturalNumber0(xr) = all_53_2_111 % 50.77/18.87 | (1325) ~ (all_53_1_110 = 0) | ~ (all_53_2_111 = 0) % 50.77/18.87 | % 50.77/18.87 | Instantiating formula (63) with all_0_9_9, all_53_1_110, 0 and discharging atoms aNaturalNumber0(all_0_9_9) = all_53_1_110, aNaturalNumber0(all_0_9_9) = 0, yields: % 50.77/18.87 | (620) all_53_1_110 = 0 % 50.77/18.87 | % 50.77/18.87 | Instantiating formula (63) with xr, all_53_2_111, 0 and discharging atoms aNaturalNumber0(xr) = all_53_2_111, aNaturalNumber0(xr) = 0, yields: % 50.77/18.87 | (1327) all_53_2_111 = 0 % 50.77/18.87 | % 50.77/18.87 +-Applying beta-rule and splitting (1325), into two cases. % 50.77/18.87 |-Branch one: % 50.77/18.87 | (1328) ~ (all_53_1_110 = 0) % 50.77/18.87 | % 50.77/18.87 | Equations (620) can reduce 1328 to: % 50.77/18.87 | (248) $false % 50.77/18.87 | % 50.77/18.87 |-The branch is then unsatisfiable % 50.77/18.87 |-Branch two: % 50.77/18.87 | (620) all_53_1_110 = 0 % 50.77/18.87 | (1331) ~ (all_53_2_111 = 0) % 50.77/18.87 | % 50.77/18.87 | Equations (1327) can reduce 1331 to: % 50.77/18.87 | (248) $false % 50.77/18.87 | % 50.77/18.87 |-The branch is then unsatisfiable % 50.77/18.87 |-Branch two: % 50.77/18.87 | (1333) aNaturalNumber0(all_0_9_9) = all_54_1_113 & aNaturalNumber0(xp) = all_54_2_114 & ( ~ (all_54_1_113 = 0) | ~ (all_54_2_114 = 0)) % 50.77/18.87 | % 50.77/18.87 | Applying alpha-rule on (1333) yields: % 50.77/18.87 | (1334) aNaturalNumber0(all_0_9_9) = all_54_1_113 % 50.77/18.87 | (1335) aNaturalNumber0(xp) = all_54_2_114 % 50.77/18.87 | (1336) ~ (all_54_1_113 = 0) | ~ (all_54_2_114 = 0) % 50.77/18.87 | % 50.77/18.87 | Instantiating formula (63) with all_0_9_9, all_54_1_113, 0 and discharging atoms aNaturalNumber0(all_0_9_9) = all_54_1_113, aNaturalNumber0(all_0_9_9) = 0, yields: % 50.77/18.87 | (601) all_54_1_113 = 0 % 50.77/18.87 | % 50.77/18.87 | Instantiating formula (63) with xp, all_54_2_114, 0 and discharging atoms aNaturalNumber0(xp) = all_54_2_114, aNaturalNumber0(xp) = 0, yields: % 50.77/18.87 | (1338) all_54_2_114 = 0 % 50.77/18.87 | % 50.77/18.87 +-Applying beta-rule and splitting (1336), into two cases. % 50.77/18.87 |-Branch one: % 50.77/18.87 | (1339) ~ (all_54_1_113 = 0) % 50.77/18.87 | % 50.77/18.87 | Equations (601) can reduce 1339 to: % 50.77/18.87 | (248) $false % 50.77/18.87 | % 50.77/18.87 |-The branch is then unsatisfiable % 50.77/18.87 |-Branch two: % 50.77/18.87 | (601) all_54_1_113 = 0 % 50.77/18.87 | (1342) ~ (all_54_2_114 = 0) % 50.77/18.87 | % 50.77/18.87 | Equations (1338) can reduce 1342 to: % 50.77/18.87 | (248) $false % 50.77/18.87 | % 50.77/18.87 |-The branch is then unsatisfiable % 50.77/18.87 |-Branch two: % 50.77/18.87 | (1344) aNaturalNumber0(xr) = all_51_2_105 & aNaturalNumber0(xn) = all_51_1_104 & ( ~ (all_51_1_104 = 0) | ~ (all_51_2_105 = 0)) % 50.77/18.87 | % 50.77/18.87 | Applying alpha-rule on (1344) yields: % 50.77/18.87 | (1345) aNaturalNumber0(xr) = all_51_2_105 % 50.77/18.87 | (1346) aNaturalNumber0(xn) = all_51_1_104 % 50.77/18.87 | (1347) ~ (all_51_1_104 = 0) | ~ (all_51_2_105 = 0) % 50.77/18.87 | % 50.77/18.87 | Instantiating formula (63) with xr, all_51_2_105, 0 and discharging atoms aNaturalNumber0(xr) = all_51_2_105, aNaturalNumber0(xr) = 0, yields: % 50.77/18.87 | (1348) all_51_2_105 = 0 % 50.77/18.87 | % 50.77/18.87 | Instantiating formula (63) with xn, all_51_1_104, 0 and discharging atoms aNaturalNumber0(xn) = all_51_1_104, aNaturalNumber0(xn) = 0, yields: % 50.77/18.87 | (573) all_51_1_104 = 0 % 50.77/18.87 | % 50.77/18.87 +-Applying beta-rule and splitting (1347), into two cases. % 50.77/18.87 |-Branch one: % 50.77/18.87 | (1350) ~ (all_51_1_104 = 0) % 50.77/18.87 | % 50.77/18.87 | Equations (573) can reduce 1350 to: % 50.77/18.87 | (248) $false % 50.77/18.87 | % 50.77/18.87 |-The branch is then unsatisfiable % 50.77/18.87 |-Branch two: % 50.77/18.87 | (573) all_51_1_104 = 0 % 50.77/18.87 | (1353) ~ (all_51_2_105 = 0) % 50.77/18.87 | % 50.77/18.87 | Equations (1348) can reduce 1353 to: % 50.77/18.87 | (248) $false % 50.77/18.87 | % 50.77/18.87 |-The branch is then unsatisfiable % 50.77/18.87 |-Branch two: % 50.77/18.87 | (1355) aNaturalNumber0(xp) = all_49_1_98 & aNaturalNumber0(xm) = all_49_2_99 & ( ~ (all_49_1_98 = 0) | ~ (all_49_2_99 = 0)) % 50.77/18.87 | % 50.77/18.87 | Applying alpha-rule on (1355) yields: % 50.77/18.87 | (1356) aNaturalNumber0(xp) = all_49_1_98 % 50.77/18.88 | (1357) aNaturalNumber0(xm) = all_49_2_99 % 50.77/18.88 | (1358) ~ (all_49_1_98 = 0) | ~ (all_49_2_99 = 0) % 50.77/18.88 | % 50.77/18.88 | Instantiating formula (63) with xp, all_49_1_98, 0 and discharging atoms aNaturalNumber0(xp) = all_49_1_98, aNaturalNumber0(xp) = 0, yields: % 50.77/18.88 | (568) all_49_1_98 = 0 % 50.77/18.88 | % 50.77/18.88 | Instantiating formula (63) with xm, all_49_2_99, 0 and discharging atoms aNaturalNumber0(xm) = all_49_2_99, aNaturalNumber0(xm) = 0, yields: % 50.77/18.88 | (1360) all_49_2_99 = 0 % 50.77/18.88 | % 50.77/18.88 +-Applying beta-rule and splitting (1358), into two cases. % 50.77/18.88 |-Branch one: % 50.77/18.88 | (1361) ~ (all_49_1_98 = 0) % 50.77/18.88 | % 50.77/18.88 | Equations (568) can reduce 1361 to: % 50.77/18.88 | (248) $false % 50.77/18.88 | % 50.77/18.88 |-The branch is then unsatisfiable % 50.77/18.88 |-Branch two: % 50.77/18.88 | (568) all_49_1_98 = 0 % 50.77/18.88 | (1364) ~ (all_49_2_99 = 0) % 50.77/18.88 | % 50.77/18.88 | Equations (1360) can reduce 1364 to: % 50.77/18.88 | (248) $false % 50.77/18.88 | % 50.77/18.88 |-The branch is then unsatisfiable % 50.77/18.88 % SZS output end Proof for theBenchmark % 50.77/18.88 % 50.77/18.88 18285ms %------------------------------------------------------------------------------