%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : RNG112+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n019.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 20:25:24 EDT 2022 % Result : Theorem 27.43s 7.79s % Output : Proof 72.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : RNG112+1 : TPTP v8.1.0. Released v4.0.0. % 0.13/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.34 % Computer : n019.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.20/0.34 % DateTime : Mon May 30 09:41:55 EDT 2022 % 0.20/0.34 % CPUTime : % 0.65/0.63 ____ _ % 0.65/0.63 ___ / __ \_____(_)___ ________ __________ % 0.65/0.63 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.65/0.63 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.65/0.63 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.65/0.63 % 0.65/0.63 A Theorem Prover for First-Order Logic % 0.65/0.63 (ePrincess v.1.0) % 0.65/0.63 % 0.65/0.63 (c) Philipp Rümmer, 2009-2015 % 0.65/0.63 (c) Peter Backeman, 2014-2015 % 0.65/0.63 (contributions by Angelo Brillout, Peter Baumgartner) % 0.65/0.63 Free software under GNU Lesser General Public License (LGPL). % 0.65/0.63 Bug reports to peter@backeman.se % 0.65/0.63 % 0.65/0.63 For more information, visit http://user.uu.se/~petba168/breu/ % 0.65/0.63 % 0.65/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.70/0.68 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.84/1.04 Prover 0: Preprocessing ... % 3.63/1.52 Prover 0: Constructing countermodel ... % 19.72/5.98 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 19.93/6.07 Prover 1: Preprocessing ... % 20.72/6.20 Prover 1: Constructing countermodel ... % 27.43/7.78 Prover 1: proved (1808ms) % 27.43/7.79 Prover 0: stopped % 27.43/7.79 % 27.43/7.79 No countermodel exists, formula is valid % 27.43/7.79 % SZS status Theorem for theBenchmark % 27.43/7.79 % 27.43/7.79 Generating proof ... found it (size 395) % 70.85/29.28 % 70.85/29.28 % SZS output start Proof for theBenchmark % 70.85/29.28 Assumed formulas after preprocessing and simplification: % 70.85/29.28 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ( ~ (v3 = sz00) & ~ (sz10 = sz00) & slsdtgt0(xb) = v2 & slsdtgt0(xa) = v1 & aGcdOfAnd0(xc, xa, xb) = 0 & aIdeal0(xI) = 0 & sdtpldt1(v1, v2) = xI & aElementOf0(v3, xI) = 0 & aElementOf0(xb, v2) = 0 & aElementOf0(xa, v1) = 0 & aElementOf0(sz00, v2) = 0 & aElementOf0(sz00, v1) = 0 & smndt0(sz10) = v0 & aElement0(xb) = 0 & aElement0(xa) = 0 & aElement0(sz10) = 0 & aElement0(sz00) = 0 & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = 0 | ~ (sdtpldt1(v4, v5) = v6) | ~ (aSet0(v6) = v7) | ~ (aElementOf0(v8, v6) = v9) | ~ (sdtpldt0(v10, v11) = v8) | ? [v12] : ? [v13] : ((aSet0(v5) = v13 & aSet0(v4) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0))) | (aElementOf0(v11, v5) = v13 & aElementOf0(v10, v4) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0))))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (slsdtgt0(v4) = v5) | ~ (aSet0(v5) = v6) | ~ (aElementOf0(v7, v5) = v8) | ~ (sdtasdt0(v4, v9) = v7) | ? [v10] : (( ~ (v10 = 0) & aElement0(v9) = v10) | ( ~ (v10 = 0) & aElement0(v4) = v10))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (sdtasasdt0(v4, v5) = v6) | ~ (aSet0(v6) = v7) | ~ (aElementOf0(v8, v4) = v9) | ? [v10] : ? [v11] : ((aSet0(v5) = v11 & aSet0(v4) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))) | (aElementOf0(v8, v6) = v10 & aElementOf0(v8, v5) = v11 & ( ~ (v10 = 0) | (v11 = 0 & v9 = 0))))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (aElementOf0(v8, v6) = v9) | ~ (sdtpldt0(v4, v7) = v8) | ~ (smndt0(v5) = v7) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : (sdteqdtlpzmzozddtrp0(v4, v5, v6) = v13 & aIdeal0(v6) = v12 & aElement0(v5) = v11 & aElement0(v4) = v10 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | (( ~ (v13 = 0) | v9 = 0) & ( ~ (v9 = 0) | v13 = 0))))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (sdtasdt0(v4, v6) = v8) | ~ (sdtasdt0(v4, v5) = v7) | ~ (sdtpldt0(v7, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (sdtasdt0(v13, v4) = v15 & sdtasdt0(v6, v4) = v17 & sdtasdt0(v5, v4) = v16 & sdtasdt0(v4, v13) = v14 & sdtpldt0(v16, v17) = v18 & sdtpldt0(v5, v6) = v13 & aElement0(v6) = v12 & aElement0(v5) = v11 & aElement0(v4) = v10 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | (v18 = v15 & v14 = v9)))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (aGcdOfAnd0(v6, v4, v5) = 0) | ~ (doDivides0(v7, v6) = v8) | ~ (aElement0(v5) = 0) | ~ (aElement0(v4) = 0) | ? [v9] : ? [v10] : (aDivisorOf0(v7, v5) = v10 & aDivisorOf0(v7, v4) = v9 & ( ~ (v10 = 0) | ~ (v9 = 0)))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (aIdeal0(v4) = 0) | ~ (aElementOf0(v7, v4) = v8) | ~ (aElementOf0(v5, v4) = 0) | ~ (sdtasdt0(v6, v5) = v7) | ? [v9] : ( ~ (v9 = 0) & aElement0(v6) = v9)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (aIdeal0(v4) = 0) | ~ (aElementOf0(v7, v4) = v8) | ~ (aElementOf0(v5, v4) = 0) | ~ (sdtpldt0(v5, v6) = v7) | ? [v9] : ( ~ (v9 = 0) & aElementOf0(v6, v4) = v9)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v5 = v4 | ~ (aGcdOfAnd0(v8, v7, v6) = v5) | ~ (aGcdOfAnd0(v8, v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v5 = v4 | ~ (sdteqdtlpzmzozddtrp0(v8, v7, v6) = v5) | ~ (sdteqdtlpzmzozddtrp0(v8, v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (sdtasasdt0(v4, v5) = v6) | ~ (aSet0(v6) = v7) | ~ (aElementOf0(v8, v4) = 0) | ? [v9] : ? [v10] : ((aSet0(v5) = v10 & aSet0(v4) = v9 & ( ~ (v10 = 0) | ~ (v9 = 0))) | (aElementOf0(v8, v6) = v10 & aElementOf0(v8, v5) = v9 & ( ~ (v9 = 0) | v10 = 0)))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (sdtpldt1(v4, v5) = v6) | ~ (aSet0(v6) = v7) | ~ (aElementOf0(v8, v6) = 0) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v13 = v8 & v12 = 0 & v11 = 0 & aElementOf0(v10, v5) = 0 & aElementOf0(v9, v4) = 0 & sdtpldt0(v9, v10) = v8) | (aSet0(v5) = v10 & aSet0(v4) = v9 & ( ~ (v10 = 0) | ~ (v9 = 0))))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (sdtpldt1(v4, v5) = v6) | ~ (aElement0(v8) = 0) | ~ (aElement0(v7) = 0) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v12 = 0 & v11 = 0 & v10 = 0 & sdteqdtlpzmzozddtrp0(v9, v8, v5) = 0 & sdteqdtlpzmzozddtrp0(v9, v7, v4) = 0 & aElement0(v9) = 0) | (v10 = 0 & ~ (v11 = 0) & aElementOf0(v9, v6) = v11 & aElement0(v9) = 0) | (aIdeal0(v5) = v10 & aIdeal0(v4) = v9 & ( ~ (v10 = 0) | ~ (v9 = 0))))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (sdtasdt0(v7, v6) = v8) | ~ (sdtasdt0(v4, v5) = v7) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (sdtasdt0(v5, v6) = v12 & sdtasdt0(v4, v12) = v13 & aElement0(v6) = v11 & aElement0(v5) = v10 & aElement0(v4) = v9 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = v8))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (sdtpldt0(v7, v6) = v8) | ~ (sdtpldt0(v4, v5) = v7) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (sdtpldt0(v5, v6) = v12 & sdtpldt0(v4, v12) = v13 & aElement0(v6) = v11 & aElement0(v5) = v10 & aElement0(v4) = v9 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = v8))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v6 | ~ (sdtasasdt0(v4, v5) = v6) | ~ (aSet0(v7) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((aSet0(v5) = v9 & aSet0(v4) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0))) | (aElementOf0(v8, v7) = v9 & aElementOf0(v8, v5) = v11 & aElementOf0(v8, v4) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0)) & (v9 = 0 | (v11 = 0 & v10 = 0))))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v6 | ~ (sdtpldt1(v4, v5) = v6) | ~ (aSet0(v7) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((aSet0(v5) = v9 & aSet0(v4) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0))) | (aElementOf0(v8, v7) = v9 & ( ~ (v9 = 0) | ! [v15] : ! [v16] : ( ~ (sdtpldt0(v15, v16) = v8) | ? [v17] : ? [v18] : (aElementOf0(v16, v5) = v18 & aElementOf0(v15, v4) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) & (v9 = 0 | (v14 = v8 & v13 = 0 & v12 = 0 & aElementOf0(v11, v5) = 0 & aElementOf0(v10, v4) = 0 & sdtpldt0(v10, v11) = v8))))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (aGcdOfAnd0(v6, v4, v5) = v7) | ~ (aElement0(v5) = 0) | ~ (aElement0(v4) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v10 = 0 & v9 = 0 & ~ (v11 = 0) & aDivisorOf0(v8, v5) = 0 & aDivisorOf0(v8, v4) = 0 & doDivides0(v8, v6) = v11) | (aDivisorOf0(v6, v5) = v9 & aDivisorOf0(v6, v4) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0))))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (sdtasasdt0(v4, v5) = v6) | ~ (aSet0(v6) = v7) | ? [v8] : ? [v9] : (aSet0(v5) = v9 & aSet0(v4) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0)))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (sdtpldt1(v4, v5) = v6) | ~ (aSet0(v6) = v7) | ? [v8] : ? [v9] : (aSet0(v5) = v9 & aSet0(v4) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0)))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v6 = 0 | ~ (doDivides0(v4, v5) = v6) | ~ (sdtasdt0(v4, v7) = v5) | ? [v8] : ? [v9] : (( ~ (v8 = 0) & aElement0(v7) = v8) | (aElement0(v5) = v9 & aElement0(v4) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0))))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (misRelativelyPrime0(v7, v6) = v5) | ~ (misRelativelyPrime0(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (aDivisorOf0(v7, v6) = v5) | ~ (aDivisorOf0(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (doDivides0(v7, v6) = v5) | ~ (doDivides0(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (iLess0(v7, v6) = v5) | ~ (iLess0(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (sdtasasdt0(v7, v6) = v5) | ~ (sdtasasdt0(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (sdtpldt1(v7, v6) = v5) | ~ (sdtpldt1(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (aElementOf0(v7, v6) = v5) | ~ (aElementOf0(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (sdtasdt0(v7, v6) = v5) | ~ (sdtasdt0(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (sdtpldt0(v7, v6) = v5) | ~ (sdtpldt0(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (slsdtgt0(v4) = v5) | ~ (aSet0(v5) = v6) | ~ (aElementOf0(v7, v5) = 0) | ? [v8] : ? [v9] : ? [v10] : ((v10 = v7 & v9 = 0 & sdtasdt0(v4, v8) = v7 & aElement0(v8) = 0) | ( ~ (v8 = 0) & aElement0(v4) = v8))) & ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (slsdtgt0(v4) = v5) | ~ (aSet0(v6) = 0) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (( ~ (v7 = 0) & aElement0(v4) = v7) | (aElementOf0(v7, v6) = v8 & ( ~ (v8 = 0) | ! [v12] : ( ~ (sdtasdt0(v4, v12) = v7) | ? [v13] : ( ~ (v13 = 0) & aElement0(v12) = v13))) & (v8 = 0 | (v11 = v7 & v10 = 0 & sdtasdt0(v4, v9) = v7 & aElement0(v9) = 0))))) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (slsdtgt0(v4) = v5) | ~ (aSet0(v5) = v6) | ? [v7] : ( ~ (v7 = 0) & aElement0(v4) = v7)) & ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ (slsdtgt0(v6) = v5) | ~ (slsdtgt0(v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ (sbrdtbr0(v6) = v5) | ~ (sbrdtbr0(v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ (aNaturalNumber0(v6) = v5) | ~ (aNaturalNumber0(v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ (aIdeal0(v6) = v5) | ~ (aIdeal0(v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ (aSet0(v6) = v5) | ~ (aSet0(v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ (smndt0(v6) = v5) | ~ (smndt0(v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ (aElement0(v6) = v5) | ~ (aElement0(v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : (v5 = sz00 | ~ (sbrdtbr0(v5) = v6) | ~ (aElement0(v4) = 0) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v12 = v4 & v10 = 0 & v9 = 0 & iLess0(v13, v6) = v14 & sbrdtbr0(v8) = v13 & sdtasdt0(v7, v5) = v11 & sdtpldt0(v11, v8) = v4 & aElement0(v8) = 0 & aElement0(v7) = 0 & (v14 = 0 | v8 = sz00)) | ( ~ (v7 = 0) & aElement0(v5) = v7))) & ! [v4] : ! [v5] : ! [v6] : ( ~ (aGcdOfAnd0(v6, v4, v5) = 0) | ~ (aElement0(v5) = 0) | ~ (aElement0(v4) = 0) | (aDivisorOf0(v6, v5) = 0 & aDivisorOf0(v6, v4) = 0)) & ! [v4] : ! [v5] : ! [v6] : ( ~ (aGcdOfAnd0(sz10, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : (misRelativelyPrime0(v4, v5) = v9 & aElement0(v5) = v8 & aElement0(v4) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | (( ~ (v9 = 0) | v6 = 0) & ( ~ (v6 = 0) | v9 = 0))))) & ! [v4] : ! [v5] : ! [v6] : ( ~ (doDivides0(v5, v4) = v6) | ~ (aElement0(v4) = 0) | ? [v7] : ? [v8] : (aDivisorOf0(v5, v4) = v7 & aElement0(v5) = v8 & ( ~ (v7 = 0) | (v8 = 0 & v6 = 0)))) & ! [v4] : ! [v5] : ! [v6] : ( ~ (sdtasasdt0(v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : (aIdeal0(v6) = v9 & aIdeal0(v5) = v8 & aIdeal0(v4) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | v9 = 0))) & ! [v4] : ! [v5] : ! [v6] : ( ~ (sdtpldt1(v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : (aIdeal0(v6) = v9 & aIdeal0(v5) = v8 & aIdeal0(v4) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | v9 = 0))) & ! [v4] : ! [v5] : ! [v6] : ( ~ (sdtasdt0(v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v5, v4) = v9 & aElement0(v5) = v8 & aElement0(v4) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | v9 = v6))) & ! [v4] : ! [v5] : ! [v6] : ( ~ (sdtasdt0(v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : (aElement0(v6) = v9 & aElement0(v5) = v8 & aElement0(v4) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | v9 = 0))) & ! [v4] : ! [v5] : ! [v6] : ( ~ (sdtpldt0(v5, v4) = v6) | ~ (smndt0(v4) = v5) | ? [v7] : ? [v8] : (sdtpldt0(v4, v5) = v8 & aElement0(v4) = v7 & ( ~ (v7 = 0) | (v8 = sz00 & v6 = sz00)))) & ! [v4] : ! [v5] : ! [v6] : ( ~ (sdtpldt0(v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : (sdtpldt0(v5, v4) = v9 & aElement0(v5) = v8 & aElement0(v4) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | v9 = v6))) & ! [v4] : ! [v5] : ! [v6] : ( ~ (sdtpldt0(v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : (aElement0(v6) = v9 & aElement0(v5) = v8 & aElement0(v4) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | v9 = 0))) & ! [v4] : ! [v5] : (v5 = v4 | ~ (aSet0(v5) = 0) | ~ (aSet0(v4) = 0) | ? [v6] : ? [v7] : ? [v8] : ((v7 = 0 & ~ (v8 = 0) & aElementOf0(v6, v5) = v8 & aElementOf0(v6, v4) = 0) | (v7 = 0 & ~ (v8 = 0) & aElementOf0(v6, v5) = 0 & aElementOf0(v6, v4) = v8))) & ! [v4] : ! [v5] : (v5 = sz00 | v4 = sz00 | ~ (sdtasdt0(v4, v5) = sz00) | ? [v6] : ? [v7] : (aElement0(v5) = v7 & aElement0(v4) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v4] : ! [v5] : (v5 = 0 | ~ (aIdeal0(v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v7 = 0 & aElementOf0(v6, v4) = 0 & ((v9 = 0 & ~ (v11 = 0) & aElementOf0(v10, v4) = v11 & aElementOf0(v8, v4) = 0 & sdtpldt0(v6, v8) = v10) | (v9 = 0 & ~ (v11 = 0) & aElementOf0(v10, v4) = v11 & sdtasdt0(v8, v6) = v10 & aElement0(v8) = 0))) | ( ~ (v6 = 0) & aSet0(v4) = v6))) & ! [v4] : ! [v5] : (v4 = sz00 | ~ (sbrdtbr0(v4) = v5) | ? [v6] : ? [v7] : (aNaturalNumber0(v5) = v7 & aElement0(v4) = v6 & ( ~ (v6 = 0) | v7 = 0))) & ! [v4] : ! [v5] : ( ~ (slsdtgt0(v4) = v5) | ? [v6] : ? [v7] : (aIdeal0(v5) = v7 & aElement0(v4) = v6 & ( ~ (v6 = 0) | v7 = 0))) & ! [v4] : ! [v5] : ( ~ (doDivides0(v5, v4) = 0) | ~ (aElement0(v4) = 0) | ? [v6] : ? [v7] : (aDivisorOf0(v5, v4) = v7 & aElement0(v5) = v6 & ( ~ (v6 = 0) | v7 = 0))) & ! [v4] : ! [v5] : ( ~ (doDivides0(v4, v5) = 0) | ? [v6] : ? [v7] : ? [v8] : ((v8 = v5 & v7 = 0 & sdtasdt0(v4, v6) = v5 & aElement0(v6) = 0) | (aElement0(v5) = v7 & aElement0(v4) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))) & ! [v4] : ! [v5] : ( ~ (aSet0(v4) = 0) | ~ (aElementOf0(v5, v4) = 0) | aElement0(v5) = 0) & ! [v4] : ! [v5] : ( ~ (sdtasdt0(v0, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : (sdtasdt0(v4, v0) = v8 & smndt0(v4) = v7 & aElement0(v4) = v6 & ( ~ (v6 = 0) | (v8 = v5 & v7 = v5)))) & ! [v4] : ! [v5] : ( ~ (sdtasdt0(sz10, v4) = v5) | ? [v6] : ? [v7] : (sdtasdt0(v4, sz10) = v7 & aElement0(v4) = v6 & ( ~ (v6 = 0) | (v7 = v4 & v5 = v4)))) & ! [v4] : ! [v5] : ( ~ (sdtasdt0(sz00, v4) = v5) | ? [v6] : ? [v7] : (sdtasdt0(v4, sz00) = v7 & aElement0(v4) = v6 & ( ~ (v6 = 0) | (v7 = sz00 & v5 = sz00)))) & ! [v4] : ! [v5] : ( ~ (sdtpldt0(sz00, v4) = v5) | ? [v6] : ? [v7] : (sdtpldt0(v4, sz00) = v7 & aElement0(v4) = v6 & ( ~ (v6 = 0) | (v7 = v4 & v5 = v4)))) & ! [v4] : ! [v5] : ( ~ (smndt0(v4) = v5) | ? [v6] : ? [v7] : (aElement0(v5) = v7 & aElement0(v4) = v6 & ( ~ (v6 = 0) | v7 = 0))) & ! [v4] : (v4 = sz00 | ~ (aElementOf0(v4, xI) = 0) | ? [v5] : ? [v6] : ? [v7] : ( ~ (v6 = sz00) & iLess0(v7, v5) = 0 & sbrdtbr0(v6) = v7 & sbrdtbr0(v4) = v5 & aElementOf0(v6, xI) = 0)) & ! [v4] : (v4 = sz00 | ~ (aElementOf0(v4, xI) = 0) | ? [v5] : ? [v6] : ( ~ (v5 = sz00) & sbrdtbr0(v5) = v6 & aElementOf0(v5, xI) = 0 & ! [v7] : ! [v8] : (v7 = sz00 | ~ (iLess0(v8, v6) = 0) | ~ (sbrdtbr0(v7) = v8) | ? [v9] : ( ~ (v9 = 0) & aElementOf0(v7, xI) = v9)))) & ! [v4] : ( ~ (aIdeal0(v4) = 0) | aSet0(v4) = 0) & ( ~ (xb = sz00) | ~ (xa = sz00))) % 71.00/29.36 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3 yields: % 71.00/29.36 | (1) ~ (all_0_0_0 = sz00) & ~ (sz10 = sz00) & slsdtgt0(xb) = all_0_1_1 & slsdtgt0(xa) = all_0_2_2 & aGcdOfAnd0(xc, xa, xb) = 0 & aIdeal0(xI) = 0 & sdtpldt1(all_0_2_2, all_0_1_1) = xI & aElementOf0(all_0_0_0, xI) = 0 & aElementOf0(xb, all_0_1_1) = 0 & aElementOf0(xa, all_0_2_2) = 0 & aElementOf0(sz00, all_0_1_1) = 0 & aElementOf0(sz00, all_0_2_2) = 0 & smndt0(sz10) = all_0_3_3 & aElement0(xb) = 0 & aElement0(xa) = 0 & aElement0(sz10) = 0 & aElement0(sz00) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = 0 | ~ (sdtpldt1(v0, v1) = v2) | ~ (aSet0(v2) = v3) | ~ (aElementOf0(v4, v2) = v5) | ~ (sdtpldt0(v6, v7) = v4) | ? [v8] : ? [v9] : ((aSet0(v1) = v9 & aSet0(v0) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0))) | (aElementOf0(v7, v1) = v9 & aElementOf0(v6, v0) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (slsdtgt0(v0) = v1) | ~ (aSet0(v1) = v2) | ~ (aElementOf0(v3, v1) = v4) | ~ (sdtasdt0(v0, v5) = v3) | ? [v6] : (( ~ (v6 = 0) & aElement0(v5) = v6) | ( ~ (v6 = 0) & aElement0(v0) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasasdt0(v0, v1) = v2) | ~ (aSet0(v2) = v3) | ~ (aElementOf0(v4, v0) = v5) | ? [v6] : ? [v7] : ((aSet0(v1) = v7 & aSet0(v0) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))) | (aElementOf0(v4, v2) = v6 & aElementOf0(v4, v1) = v7 & ( ~ (v6 = 0) | (v7 = 0 & v5 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (aElementOf0(v4, v2) = v5) | ~ (sdtpldt0(v0, v3) = v4) | ~ (smndt0(v1) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdteqdtlpzmzozddtrp0(v0, v1, v2) = v9 & aIdeal0(v2) = v8 & aElement0(v1) = v7 & aElement0(v0) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | (( ~ (v9 = 0) | v5 = 0) & ( ~ (v5 = 0) | v9 = 0))))) & ! [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 & aElement0(v2) = v8 & aElement0(v1) = v7 & aElement0(v0) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | (v14 = v11 & v10 = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (aGcdOfAnd0(v2, v0, v1) = 0) | ~ (doDivides0(v3, v2) = v4) | ~ (aElement0(v1) = 0) | ~ (aElement0(v0) = 0) | ? [v5] : ? [v6] : (aDivisorOf0(v3, v1) = v6 & aDivisorOf0(v3, v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (aIdeal0(v0) = 0) | ~ (aElementOf0(v3, v0) = v4) | ~ (aElementOf0(v1, v0) = 0) | ~ (sdtasdt0(v2, v1) = v3) | ? [v5] : ( ~ (v5 = 0) & aElement0(v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (aIdeal0(v0) = 0) | ~ (aElementOf0(v3, v0) = v4) | ~ (aElementOf0(v1, v0) = 0) | ~ (sdtpldt0(v1, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & aElementOf0(v2, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (aGcdOfAnd0(v4, v3, v2) = v1) | ~ (aGcdOfAnd0(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sdteqdtlpzmzozddtrp0(v4, v3, v2) = v1) | ~ (sdteqdtlpzmzozddtrp0(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasasdt0(v0, v1) = v2) | ~ (aSet0(v2) = v3) | ~ (aElementOf0(v4, v0) = 0) | ? [v5] : ? [v6] : ((aSet0(v1) = v6 & aSet0(v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0))) | (aElementOf0(v4, v2) = v6 & aElementOf0(v4, v1) = v5 & ( ~ (v5 = 0) | v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt1(v0, v1) = v2) | ~ (aSet0(v2) = v3) | ~ (aElementOf0(v4, v2) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v9 = v4 & v8 = 0 & v7 = 0 & aElementOf0(v6, v1) = 0 & aElementOf0(v5, v0) = 0 & sdtpldt0(v5, v6) = v4) | (aSet0(v1) = v6 & aSet0(v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt1(v0, v1) = v2) | ~ (aElement0(v4) = 0) | ~ (aElement0(v3) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ((v8 = 0 & v7 = 0 & v6 = 0 & sdteqdtlpzmzozddtrp0(v5, v4, v1) = 0 & sdteqdtlpzmzozddtrp0(v5, v3, v0) = 0 & aElement0(v5) = 0) | (v6 = 0 & ~ (v7 = 0) & aElementOf0(v5, v2) = v7 & aElement0(v5) = 0) | (aIdeal0(v1) = v6 & aIdeal0(v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0))))) & ! [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 & aElement0(v2) = v7 & aElement0(v1) = v6 & aElement0(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 & aElement0(v2) = v7 & aElement0(v1) = v6 & aElement0(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (sdtasasdt0(v0, v1) = v2) | ~ (aSet0(v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((aSet0(v1) = v5 & aSet0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))) | (aElementOf0(v4, v3) = v5 & aElementOf0(v4, v1) = v7 & aElementOf0(v4, v0) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0)) & (v5 = 0 | (v7 = 0 & v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (sdtpldt1(v0, v1) = v2) | ~ (aSet0(v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((aSet0(v1) = v5 & aSet0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))) | (aElementOf0(v4, v3) = v5 & ( ~ (v5 = 0) | ! [v11] : ! [v12] : ( ~ (sdtpldt0(v11, v12) = v4) | ? [v13] : ? [v14] : (aElementOf0(v12, v1) = v14 & aElementOf0(v11, v0) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & (v5 = 0 | (v10 = v4 & v9 = 0 & v8 = 0 & aElementOf0(v7, v1) = 0 & aElementOf0(v6, v0) = 0 & sdtpldt0(v6, v7) = v4))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (aGcdOfAnd0(v2, v0, v1) = v3) | ~ (aElement0(v1) = 0) | ~ (aElement0(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v6 = 0 & v5 = 0 & ~ (v7 = 0) & aDivisorOf0(v4, v1) = 0 & aDivisorOf0(v4, v0) = 0 & doDivides0(v4, v2) = v7) | (aDivisorOf0(v2, v1) = v5 & aDivisorOf0(v2, v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (sdtasasdt0(v0, v1) = v2) | ~ (aSet0(v2) = v3) | ? [v4] : ? [v5] : (aSet0(v1) = v5 & aSet0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (sdtpldt1(v0, v1) = v2) | ~ (aSet0(v2) = v3) | ? [v4] : ? [v5] : (aSet0(v1) = v5 & aSet0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (doDivides0(v0, v1) = v2) | ~ (sdtasdt0(v0, v3) = v1) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & aElement0(v3) = v4) | (aElement0(v1) = v5 & aElement0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (misRelativelyPrime0(v3, v2) = v1) | ~ (misRelativelyPrime0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (aDivisorOf0(v3, v2) = v1) | ~ (aDivisorOf0(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 | ~ (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt1(v3, v2) = v1) | ~ (sdtpldt1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (aElementOf0(v3, v2) = v1) | ~ (aElementOf0(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] : ( ~ (slsdtgt0(v0) = v1) | ~ (aSet0(v1) = v2) | ~ (aElementOf0(v3, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ((v6 = v3 & v5 = 0 & sdtasdt0(v0, v4) = v3 & aElement0(v4) = 0) | ( ~ (v4 = 0) & aElement0(v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (slsdtgt0(v0) = v1) | ~ (aSet0(v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ (v3 = 0) & aElement0(v0) = v3) | (aElementOf0(v3, v2) = v4 & ( ~ (v4 = 0) | ! [v8] : ( ~ (sdtasdt0(v0, v8) = v3) | ? [v9] : ( ~ (v9 = 0) & aElement0(v8) = v9))) & (v4 = 0 | (v7 = v3 & v6 = 0 & sdtasdt0(v0, v5) = v3 & aElement0(v5) = 0))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (slsdtgt0(v0) = v1) | ~ (aSet0(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & aElement0(v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (slsdtgt0(v2) = v1) | ~ (slsdtgt0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sbrdtbr0(v2) = v1) | ~ (sbrdtbr0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aIdeal0(v2) = v1) | ~ (aIdeal0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aSet0(v2) = v1) | ~ (aSet0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aElement0(v2) = v1) | ~ (aElement0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = sz00 | ~ (sbrdtbr0(v1) = v2) | ~ (aElement0(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v8 = v0 & v6 = 0 & v5 = 0 & iLess0(v9, v2) = v10 & sbrdtbr0(v4) = v9 & sdtasdt0(v3, v1) = v7 & sdtpldt0(v7, v4) = v0 & aElement0(v4) = 0 & aElement0(v3) = 0 & (v10 = 0 | v4 = sz00)) | ( ~ (v3 = 0) & aElement0(v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (aGcdOfAnd0(v2, v0, v1) = 0) | ~ (aElement0(v1) = 0) | ~ (aElement0(v0) = 0) | (aDivisorOf0(v2, v1) = 0 & aDivisorOf0(v2, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (aGcdOfAnd0(sz10, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (misRelativelyPrime0(v0, v1) = v5 & aElement0(v1) = v4 & aElement0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (( ~ (v5 = 0) | v2 = 0) & ( ~ (v2 = 0) | v5 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (doDivides0(v1, v0) = v2) | ~ (aElement0(v0) = 0) | ? [v3] : ? [v4] : (aDivisorOf0(v1, v0) = v3 & aElement0(v1) = v4 & ( ~ (v3 = 0) | (v4 = 0 & v2 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aIdeal0(v2) = v5 & aIdeal0(v1) = v4 & aIdeal0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt1(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aIdeal0(v2) = v5 & aIdeal0(v1) = v4 & aIdeal0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtasdt0(v1, v0) = v5 & aElement0(v1) = v4 & aElement0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aElement0(v2) = v5 & aElement0(v1) = v4 & aElement0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) | ~ (smndt0(v0) = v1) | ? [v3] : ? [v4] : (sdtpldt0(v0, v1) = v4 & aElement0(v0) = v3 & ( ~ (v3 = 0) | (v4 = sz00 & v2 = sz00)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtpldt0(v1, v0) = v5 & aElement0(v1) = v4 & aElement0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aElement0(v2) = v5 & aElement0(v1) = v4 & aElement0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (aSet0(v1) = 0) | ~ (aSet0(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v3 = 0 & ~ (v4 = 0) & aElementOf0(v2, v1) = v4 & aElementOf0(v2, v0) = 0) | (v3 = 0 & ~ (v4 = 0) & aElementOf0(v2, v1) = 0 & aElementOf0(v2, v0) = v4))) & ! [v0] : ! [v1] : (v1 = sz00 | v0 = sz00 | ~ (sdtasdt0(v0, v1) = sz00) | ? [v2] : ? [v3] : (aElement0(v1) = v3 & aElement0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (aIdeal0(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v3 = 0 & aElementOf0(v2, v0) = 0 & ((v5 = 0 & ~ (v7 = 0) & aElementOf0(v6, v0) = v7 & aElementOf0(v4, v0) = 0 & sdtpldt0(v2, v4) = v6) | (v5 = 0 & ~ (v7 = 0) & aElementOf0(v6, v0) = v7 & sdtasdt0(v4, v2) = v6 & aElement0(v4) = 0))) | ( ~ (v2 = 0) & aSet0(v0) = v2))) & ! [v0] : ! [v1] : (v0 = sz00 | ~ (sbrdtbr0(v0) = v1) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (slsdtgt0(v0) = v1) | ? [v2] : ? [v3] : (aIdeal0(v1) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (doDivides0(v1, v0) = 0) | ~ (aElement0(v0) = 0) | ? [v2] : ? [v3] : (aDivisorOf0(v1, v0) = v3 & aElement0(v1) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (doDivides0(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v1 & v3 = 0 & sdtasdt0(v0, v2) = v1 & aElement0(v2) = 0) | (aElement0(v1) = v3 & aElement0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))) & ! [v0] : ! [v1] : ( ~ (aSet0(v0) = 0) | ~ (aElementOf0(v1, v0) = 0) | aElement0(v1) = 0) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(all_0_3_3, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(v0, all_0_3_3) = v4 & smndt0(v0) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | (v4 = v1 & v3 = v1)))) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) | ? [v2] : ? [v3] : (sdtasdt0(v0, sz10) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | (v3 = v0 & v1 = v0)))) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz00, v0) = v1) | ? [v2] : ? [v3] : (sdtasdt0(v0, sz00) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | (v3 = sz00 & v1 = sz00)))) & ! [v0] : ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) | ? [v2] : ? [v3] : (sdtpldt0(v0, sz00) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | (v3 = v0 & v1 = v0)))) & ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : (aElement0(v1) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : (v0 = sz00 | ~ (aElementOf0(v0, xI) = 0) | ? [v1] : ? [v2] : ? [v3] : ( ~ (v2 = sz00) & iLess0(v3, v1) = 0 & sbrdtbr0(v2) = v3 & sbrdtbr0(v0) = v1 & aElementOf0(v2, xI) = 0)) & ! [v0] : (v0 = sz00 | ~ (aElementOf0(v0, xI) = 0) | ? [v1] : ? [v2] : ( ~ (v1 = sz00) & sbrdtbr0(v1) = v2 & aElementOf0(v1, xI) = 0 & ! [v3] : ! [v4] : (v3 = sz00 | ~ (iLess0(v4, v2) = 0) | ~ (sbrdtbr0(v3) = v4) | ? [v5] : ( ~ (v5 = 0) & aElementOf0(v3, xI) = v5)))) & ! [v0] : ( ~ (aIdeal0(v0) = 0) | aSet0(v0) = 0) & ( ~ (xb = sz00) | ~ (xa = sz00)) % 71.48/29.39 | % 71.48/29.39 | Applying alpha-rule on (1) yields: % 71.48/29.39 | (2) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aIdeal0(v2) = v5 & aIdeal0(v1) = v4 & aIdeal0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) % 71.48/29.39 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (aDivisorOf0(v3, v2) = v1) | ~ (aDivisorOf0(v3, v2) = v0)) % 71.48/29.39 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt1(v3, v2) = v1) | ~ (sdtpldt1(v3, v2) = v0)) % 71.48/29.39 | (5) ! [v0] : ! [v1] : (v1 = sz00 | v0 = sz00 | ~ (sdtasdt0(v0, v1) = sz00) | ? [v2] : ? [v3] : (aElement0(v1) = v3 & aElement0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 71.48/29.39 | (6) slsdtgt0(xa) = all_0_2_2 % 71.48/29.39 | (7) aElementOf0(xb, all_0_1_1) = 0 % 71.48/29.39 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) % 71.48/29.39 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasasdt0(v0, v1) = v2) | ~ (aSet0(v2) = v3) | ~ (aElementOf0(v4, v0) = v5) | ? [v6] : ? [v7] : ((aSet0(v1) = v7 & aSet0(v0) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))) | (aElementOf0(v4, v2) = v6 & aElementOf0(v4, v1) = v7 & ( ~ (v6 = 0) | (v7 = 0 & v5 = 0))))) % 71.48/29.39 | (10) ! [v0] : (v0 = sz00 | ~ (aElementOf0(v0, xI) = 0) | ? [v1] : ? [v2] : ? [v3] : ( ~ (v2 = sz00) & iLess0(v3, v1) = 0 & sbrdtbr0(v2) = v3 & sbrdtbr0(v0) = v1 & aElementOf0(v2, xI) = 0)) % 71.48/29.39 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (slsdtgt0(v0) = v1) | ~ (aSet0(v1) = v2) | ~ (aElementOf0(v3, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ((v6 = v3 & v5 = 0 & sdtasdt0(v0, v4) = v3 & aElement0(v4) = 0) | ( ~ (v4 = 0) & aElement0(v0) = v4))) % 71.48/29.40 | (12) aElement0(sz10) = 0 % 71.48/29.40 | (13) ! [v0] : (v0 = sz00 | ~ (aElementOf0(v0, xI) = 0) | ? [v1] : ? [v2] : ( ~ (v1 = sz00) & sbrdtbr0(v1) = v2 & aElementOf0(v1, xI) = 0 & ! [v3] : ! [v4] : (v3 = sz00 | ~ (iLess0(v4, v2) = 0) | ~ (sbrdtbr0(v3) = v4) | ? [v5] : ( ~ (v5 = 0) & aElementOf0(v3, xI) = v5)))) % 71.48/29.40 | (14) slsdtgt0(xb) = all_0_1_1 % 71.48/29.40 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~ (doDivides0(v3, v2) = v0)) % 71.48/29.40 | (16) aElementOf0(all_0_0_0, xI) = 0 % 71.48/29.40 | (17) ! [v0] : ( ~ (aIdeal0(v0) = 0) | aSet0(v0) = 0) % 71.48/29.40 | (18) ! [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 & aElement0(v2) = v7 & aElement0(v1) = v6 & aElement0(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = v4))) % 71.48/29.40 | (19) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aElement0(v2) = v5 & aElement0(v1) = v4 & aElement0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) % 71.48/29.40 | (20) ~ (all_0_0_0 = sz00) % 71.48/29.40 | (21) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sbrdtbr0(v2) = v1) | ~ (sbrdtbr0(v2) = v0)) % 71.48/29.40 | (22) sdtpldt1(all_0_2_2, all_0_1_1) = xI % 71.48/29.40 | (23) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (slsdtgt0(v2) = v1) | ~ (slsdtgt0(v2) = v0)) % 71.48/29.40 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (aIdeal0(v0) = 0) | ~ (aElementOf0(v3, v0) = v4) | ~ (aElementOf0(v1, v0) = 0) | ~ (sdtpldt0(v1, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & aElementOf0(v2, v0) = v5)) % 71.48/29.40 | (25) smndt0(sz10) = all_0_3_3 % 71.48/29.40 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasasdt0(v0, v1) = v2) | ~ (aSet0(v2) = v3) | ~ (aElementOf0(v4, v0) = 0) | ? [v5] : ? [v6] : ((aSet0(v1) = v6 & aSet0(v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0))) | (aElementOf0(v4, v2) = v6 & aElementOf0(v4, v1) = v5 & ( ~ (v5 = 0) | v6 = 0)))) % 71.48/29.40 | (27) aElementOf0(xa, all_0_2_2) = 0 % 71.48/29.40 | (28) ! [v0] : ! [v1] : ( ~ (doDivides0(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v1 & v3 = 0 & sdtasdt0(v0, v2) = v1 & aElement0(v2) = 0) | (aElement0(v1) = v3 & aElement0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))) % 71.48/29.40 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (sdtasasdt0(v0, v1) = v2) | ~ (aSet0(v2) = v3) | ? [v4] : ? [v5] : (aSet0(v1) = v5 & aSet0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))) % 71.48/29.40 | (30) ~ (sz10 = sz00) % 71.48/29.40 | (31) ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) | ? [v2] : ? [v3] : (sdtasdt0(v0, sz10) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | (v3 = v0 & v1 = v0)))) % 71.48/29.40 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (sdtpldt1(v0, v1) = v2) | ~ (aSet0(v2) = v3) | ? [v4] : ? [v5] : (aSet0(v1) = v5 & aSet0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))) % 71.48/29.40 | (33) ! [v0] : ! [v1] : ( ~ (slsdtgt0(v0) = v1) | ? [v2] : ? [v3] : (aIdeal0(v1) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 71.48/29.40 | (34) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (slsdtgt0(v0) = v1) | ~ (aSet0(v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ (v3 = 0) & aElement0(v0) = v3) | (aElementOf0(v3, v2) = v4 & ( ~ (v4 = 0) | ! [v8] : ( ~ (sdtasdt0(v0, v8) = v3) | ? [v9] : ( ~ (v9 = 0) & aElement0(v8) = v9))) & (v4 = 0 | (v7 = v3 & v6 = 0 & sdtasdt0(v0, v5) = v3 & aElement0(v5) = 0))))) % 71.48/29.40 | (35) ! [v0] : ! [v1] : ( ~ (sdtasdt0(all_0_3_3, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(v0, all_0_3_3) = v4 & smndt0(v0) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | (v4 = v1 & v3 = v1)))) % 71.48/29.40 | (36) ! [v0] : ! [v1] : ! [v2] : (v1 = sz00 | ~ (sbrdtbr0(v1) = v2) | ~ (aElement0(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v8 = v0 & v6 = 0 & v5 = 0 & iLess0(v9, v2) = v10 & sbrdtbr0(v4) = v9 & sdtasdt0(v3, v1) = v7 & sdtpldt0(v7, v4) = v0 & aElement0(v4) = 0 & aElement0(v3) = 0 & (v10 = 0 | v4 = sz00)) | ( ~ (v3 = 0) & aElement0(v1) = v3))) % 71.57/29.41 | (37) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt1(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aIdeal0(v2) = v5 & aIdeal0(v1) = v4 & aIdeal0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) % 71.57/29.41 | (38) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aIdeal0(v2) = v1) | ~ (aIdeal0(v2) = v0)) % 71.57/29.41 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (aGcdOfAnd0(v2, v0, v1) = v3) | ~ (aElement0(v1) = 0) | ~ (aElement0(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v6 = 0 & v5 = 0 & ~ (v7 = 0) & aDivisorOf0(v4, v1) = 0 & aDivisorOf0(v4, v0) = 0 & doDivides0(v4, v2) = v7) | (aDivisorOf0(v2, v1) = v5 & aDivisorOf0(v2, v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) % 71.57/29.41 | (40) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0)) % 71.57/29.41 | (41) ! [v0] : ! [v1] : ! [v2] : ( ~ (aGcdOfAnd0(v2, v0, v1) = 0) | ~ (aElement0(v1) = 0) | ~ (aElement0(v0) = 0) | (aDivisorOf0(v2, v1) = 0 & aDivisorOf0(v2, v0) = 0)) % 71.57/29.41 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sdteqdtlpzmzozddtrp0(v4, v3, v2) = v1) | ~ (sdteqdtlpzmzozddtrp0(v4, v3, v2) = v0)) % 71.57/29.41 | (43) ! [v0] : ! [v1] : ( ~ (doDivides0(v1, v0) = 0) | ~ (aElement0(v0) = 0) | ? [v2] : ? [v3] : (aDivisorOf0(v1, v0) = v3 & aElement0(v1) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 71.57/29.41 | (44) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) | ~ (smndt0(v0) = v1) | ? [v3] : ? [v4] : (sdtpldt0(v0, v1) = v4 & aElement0(v0) = v3 & ( ~ (v3 = 0) | (v4 = sz00 & v2 = sz00)))) % 71.57/29.41 | (45) aElementOf0(sz00, all_0_2_2) = 0 % 71.57/29.41 | (46) aElementOf0(sz00, all_0_1_1) = 0 % 71.57/29.41 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (aGcdOfAnd0(v4, v3, v2) = v1) | ~ (aGcdOfAnd0(v4, v3, v2) = v0)) % 71.57/29.41 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (sdtasasdt0(v0, v1) = v2) | ~ (aSet0(v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((aSet0(v1) = v5 & aSet0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))) | (aElementOf0(v4, v3) = v5 & aElementOf0(v4, v1) = v7 & aElementOf0(v4, v0) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0)) & (v5 = 0 | (v7 = 0 & v6 = 0))))) % 71.57/29.41 | (49) ! [v0] : ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) | ? [v2] : ? [v3] : (sdtpldt0(v0, sz00) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | (v3 = v0 & v1 = v0)))) % 71.57/29.41 | (50) ! [v0] : ! [v1] : ( ~ (aSet0(v0) = 0) | ~ (aElementOf0(v1, v0) = 0) | aElement0(v1) = 0) % 71.57/29.41 | (51) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aElement0(v2) = v5 & aElement0(v1) = v4 & aElement0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) % 71.57/29.41 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (aIdeal0(v0) = 0) | ~ (aElementOf0(v3, v0) = v4) | ~ (aElementOf0(v1, v0) = 0) | ~ (sdtasdt0(v2, v1) = v3) | ? [v5] : ( ~ (v5 = 0) & aElement0(v2) = v5)) % 71.57/29.41 | (53) aElement0(xb) = 0 % 71.57/29.41 | (54) ! [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 & aElement0(v2) = v8 & aElement0(v1) = v7 & aElement0(v0) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | (v14 = v11 & v10 = v5)))) % 71.57/29.41 | (55) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtpldt0(v1, v0) = v5 & aElement0(v1) = v4 & aElement0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2))) % 71.57/29.41 | (56) ! [v0] : ! [v1] : ! [v2] : ( ~ (doDivides0(v1, v0) = v2) | ~ (aElement0(v0) = 0) | ? [v3] : ? [v4] : (aDivisorOf0(v1, v0) = v3 & aElement0(v1) = v4 & ( ~ (v3 = 0) | (v4 = 0 & v2 = 0)))) % 71.61/29.41 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) % 71.61/29.41 | (58) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aSet0(v2) = v1) | ~ (aSet0(v2) = v0)) % 71.61/29.41 | (59) aGcdOfAnd0(xc, xa, xb) = 0 % 71.61/29.42 | (60) ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz00, v0) = v1) | ? [v2] : ? [v3] : (sdtasdt0(v0, sz00) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | (v3 = sz00 & v1 = sz00)))) % 71.61/29.42 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) % 71.61/29.42 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (aElementOf0(v4, v2) = v5) | ~ (sdtpldt0(v0, v3) = v4) | ~ (smndt0(v1) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdteqdtlpzmzozddtrp0(v0, v1, v2) = v9 & aIdeal0(v2) = v8 & aElement0(v1) = v7 & aElement0(v0) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | (( ~ (v9 = 0) | v5 = 0) & ( ~ (v5 = 0) | v9 = 0))))) % 71.61/29.42 | (63) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0)) % 71.61/29.42 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (slsdtgt0(v0) = v1) | ~ (aSet0(v1) = v2) | ~ (aElementOf0(v3, v1) = v4) | ~ (sdtasdt0(v0, v5) = v3) | ? [v6] : (( ~ (v6 = 0) & aElement0(v5) = v6) | ( ~ (v6 = 0) & aElement0(v0) = v6))) % 71.61/29.42 | (65) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtasdt0(v1, v0) = v5 & aElement0(v1) = v4 & aElement0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2))) % 71.61/29.42 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (sdtpldt1(v0, v1) = v2) | ~ (aSet0(v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((aSet0(v1) = v5 & aSet0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))) | (aElementOf0(v4, v3) = v5 & ( ~ (v5 = 0) | ! [v11] : ! [v12] : ( ~ (sdtpldt0(v11, v12) = v4) | ? [v13] : ? [v14] : (aElementOf0(v12, v1) = v14 & aElementOf0(v11, v0) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & (v5 = 0 | (v10 = v4 & v9 = 0 & v8 = 0 & aElementOf0(v7, v1) = 0 & aElementOf0(v6, v0) = 0 & sdtpldt0(v6, v7) = v4))))) % 71.61/29.42 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (aElementOf0(v3, v2) = v1) | ~ (aElementOf0(v3, v2) = v0)) % 71.61/29.42 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = 0 | ~ (sdtpldt1(v0, v1) = v2) | ~ (aSet0(v2) = v3) | ~ (aElementOf0(v4, v2) = v5) | ~ (sdtpldt0(v6, v7) = v4) | ? [v8] : ? [v9] : ((aSet0(v1) = v9 & aSet0(v0) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0))) | (aElementOf0(v7, v1) = v9 & aElementOf0(v6, v0) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0))))) % 71.61/29.42 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (aGcdOfAnd0(v2, v0, v1) = 0) | ~ (doDivides0(v3, v2) = v4) | ~ (aElement0(v1) = 0) | ~ (aElement0(v0) = 0) | ? [v5] : ? [v6] : (aDivisorOf0(v3, v1) = v6 & aDivisorOf0(v3, v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))) % 71.61/29.42 | (70) aElement0(sz00) = 0 % 71.61/29.42 | (71) ! [v0] : ! [v1] : (v0 = sz00 | ~ (sbrdtbr0(v0) = v1) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 71.61/29.42 | (72) ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : (aElement0(v1) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 71.61/29.42 | (73) ! [v0] : ! [v1] : (v1 = v0 | ~ (aSet0(v1) = 0) | ~ (aSet0(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v3 = 0 & ~ (v4 = 0) & aElementOf0(v2, v1) = v4 & aElementOf0(v2, v0) = 0) | (v3 = 0 & ~ (v4 = 0) & aElementOf0(v2, v1) = 0 & aElementOf0(v2, v0) = v4))) % 71.61/29.42 | (74) aElement0(xa) = 0 % 71.61/29.42 | (75) ! [v0] : ! [v1] : (v1 = 0 | ~ (aIdeal0(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v3 = 0 & aElementOf0(v2, v0) = 0 & ((v5 = 0 & ~ (v7 = 0) & aElementOf0(v6, v0) = v7 & aElementOf0(v4, v0) = 0 & sdtpldt0(v2, v4) = v6) | (v5 = 0 & ~ (v7 = 0) & aElementOf0(v6, v0) = v7 & sdtasdt0(v4, v2) = v6 & aElement0(v4) = 0))) | ( ~ (v2 = 0) & aSet0(v0) = v2))) % 71.61/29.42 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0)) % 71.61/29.42 | (77) ! [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 & aElement0(v2) = v7 & aElement0(v1) = v6 & aElement0(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = v4))) % 71.61/29.42 | (78) ! [v0] : ! [v1] : ! [v2] : ( ~ (aGcdOfAnd0(sz10, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (misRelativelyPrime0(v0, v1) = v5 & aElement0(v1) = v4 & aElement0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (( ~ (v5 = 0) | v2 = 0) & ( ~ (v2 = 0) | v5 = 0))))) % 71.61/29.43 | (79) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aElement0(v2) = v1) | ~ (aElement0(v2) = v0)) % 71.61/29.43 | (80) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (slsdtgt0(v0) = v1) | ~ (aSet0(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & aElement0(v0) = v3)) % 71.61/29.43 | (81) aIdeal0(xI) = 0 % 71.61/29.43 | (82) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (misRelativelyPrime0(v3, v2) = v1) | ~ (misRelativelyPrime0(v3, v2) = v0)) % 71.61/29.43 | (83) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (doDivides0(v0, v1) = v2) | ~ (sdtasdt0(v0, v3) = v1) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & aElement0(v3) = v4) | (aElement0(v1) = v5 & aElement0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) % 71.61/29.43 | (84) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt1(v0, v1) = v2) | ~ (aElement0(v4) = 0) | ~ (aElement0(v3) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ((v8 = 0 & v7 = 0 & v6 = 0 & sdteqdtlpzmzozddtrp0(v5, v4, v1) = 0 & sdteqdtlpzmzozddtrp0(v5, v3, v0) = 0 & aElement0(v5) = 0) | (v6 = 0 & ~ (v7 = 0) & aElementOf0(v5, v2) = v7 & aElement0(v5) = 0) | (aIdeal0(v1) = v6 & aIdeal0(v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0))))) % 71.61/29.43 | (85) ~ (xb = sz00) | ~ (xa = sz00) % 71.61/29.43 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt1(v0, v1) = v2) | ~ (aSet0(v2) = v3) | ~ (aElementOf0(v4, v2) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v9 = v4 & v8 = 0 & v7 = 0 & aElementOf0(v6, v1) = 0 & aElementOf0(v5, v0) = 0 & sdtpldt0(v5, v6) = v4) | (aSet0(v1) = v6 & aSet0(v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0))))) % 71.61/29.43 | % 71.61/29.43 | Instantiating formula (33) with all_0_1_1, xb and discharging atoms slsdtgt0(xb) = all_0_1_1, yields: % 71.61/29.43 | (87) ? [v0] : ? [v1] : (aIdeal0(all_0_1_1) = v1 & aElement0(xb) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 71.61/29.43 | % 71.61/29.43 | Instantiating formula (33) with all_0_2_2, xa and discharging atoms slsdtgt0(xa) = all_0_2_2, yields: % 71.61/29.43 | (88) ? [v0] : ? [v1] : (aIdeal0(all_0_2_2) = v1 & aElement0(xa) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 71.61/29.43 | % 71.61/29.43 | Instantiating formula (17) with xI and discharging atoms aIdeal0(xI) = 0, yields: % 71.61/29.43 | (89) aSet0(xI) = 0 % 71.61/29.43 | % 71.61/29.43 | Instantiating formula (10) with all_0_0_0 and discharging atoms aElementOf0(all_0_0_0, xI) = 0, yields: % 71.61/29.43 | (90) all_0_0_0 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v1 = sz00) & iLess0(v2, v0) = 0 & sbrdtbr0(v1) = v2 & sbrdtbr0(all_0_0_0) = v0 & aElementOf0(v1, xI) = 0) % 71.61/29.43 | % 71.61/29.43 | Instantiating formula (13) with all_0_0_0 and discharging atoms aElementOf0(all_0_0_0, xI) = 0, yields: % 71.61/29.43 | (91) all_0_0_0 = sz00 | ? [v0] : ? [v1] : ( ~ (v0 = sz00) & sbrdtbr0(v0) = v1 & aElementOf0(v0, xI) = 0 & ! [v2] : ! [v3] : (v2 = sz00 | ~ (iLess0(v3, v1) = 0) | ~ (sbrdtbr0(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & aElementOf0(v2, xI) = v4))) % 71.61/29.43 | % 71.61/29.43 | Instantiating formula (72) with all_0_3_3, sz10 and discharging atoms smndt0(sz10) = all_0_3_3, yields: % 71.61/29.43 | (92) ? [v0] : ? [v1] : (aElement0(all_0_3_3) = v1 & aElement0(sz10) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 71.61/29.43 | % 71.61/29.43 | Instantiating (88) with all_10_0_8, all_10_1_9 yields: % 71.61/29.43 | (93) aIdeal0(all_0_2_2) = all_10_0_8 & aElement0(xa) = all_10_1_9 & ( ~ (all_10_1_9 = 0) | all_10_0_8 = 0) % 71.61/29.44 | % 71.61/29.44 | Applying alpha-rule on (93) yields: % 71.61/29.44 | (94) aIdeal0(all_0_2_2) = all_10_0_8 % 71.61/29.44 | (95) aElement0(xa) = all_10_1_9 % 71.61/29.44 | (96) ~ (all_10_1_9 = 0) | all_10_0_8 = 0 % 71.61/29.44 | % 71.61/29.44 | Instantiating (87) with all_21_0_46, all_21_1_47 yields: % 71.61/29.44 | (97) aIdeal0(all_0_1_1) = all_21_0_46 & aElement0(xb) = all_21_1_47 & ( ~ (all_21_1_47 = 0) | all_21_0_46 = 0) % 71.61/29.44 | % 71.61/29.44 | Applying alpha-rule on (97) yields: % 71.61/29.44 | (98) aIdeal0(all_0_1_1) = all_21_0_46 % 71.61/29.44 | (99) aElement0(xb) = all_21_1_47 % 71.61/29.44 | (100) ~ (all_21_1_47 = 0) | all_21_0_46 = 0 % 71.61/29.44 | % 71.61/29.44 | Instantiating (92) with all_24_0_52, all_24_1_53 yields: % 71.61/29.44 | (101) aElement0(all_0_3_3) = all_24_0_52 & aElement0(sz10) = all_24_1_53 & ( ~ (all_24_1_53 = 0) | all_24_0_52 = 0) % 71.61/29.44 | % 71.61/29.44 | Applying alpha-rule on (101) yields: % 71.61/29.44 | (102) aElement0(all_0_3_3) = all_24_0_52 % 71.61/29.44 | (103) aElement0(sz10) = all_24_1_53 % 71.61/29.44 | (104) ~ (all_24_1_53 = 0) | all_24_0_52 = 0 % 71.61/29.44 | % 71.61/29.44 +-Applying beta-rule and splitting (90), into two cases. % 71.61/29.44 |-Branch one: % 71.61/29.44 | (105) all_0_0_0 = sz00 % 71.61/29.44 | % 71.61/29.44 | Equations (105) can reduce 20 to: % 71.61/29.44 | (106) $false % 71.61/29.44 | % 71.61/29.44 |-The branch is then unsatisfiable % 71.61/29.44 |-Branch two: % 71.61/29.44 | (20) ~ (all_0_0_0 = sz00) % 71.61/29.44 | (108) ? [v0] : ? [v1] : ? [v2] : ( ~ (v1 = sz00) & iLess0(v2, v0) = 0 & sbrdtbr0(v1) = v2 & sbrdtbr0(all_0_0_0) = v0 & aElementOf0(v1, xI) = 0) % 71.61/29.44 | % 71.61/29.44 | Instantiating (108) with all_37_0_77, all_37_1_78, all_37_2_79 yields: % 71.61/29.44 | (109) ~ (all_37_1_78 = sz00) & iLess0(all_37_0_77, all_37_2_79) = 0 & sbrdtbr0(all_37_1_78) = all_37_0_77 & sbrdtbr0(all_0_0_0) = all_37_2_79 & aElementOf0(all_37_1_78, xI) = 0 % 71.61/29.44 | % 71.61/29.44 | Applying alpha-rule on (109) yields: % 71.61/29.44 | (110) ~ (all_37_1_78 = sz00) % 71.61/29.44 | (111) sbrdtbr0(all_37_1_78) = all_37_0_77 % 71.61/29.44 | (112) iLess0(all_37_0_77, all_37_2_79) = 0 % 71.61/29.44 | (113) aElementOf0(all_37_1_78, xI) = 0 % 71.61/29.44 | (114) sbrdtbr0(all_0_0_0) = all_37_2_79 % 71.61/29.44 | % 71.61/29.44 +-Applying beta-rule and splitting (91), into two cases. % 71.61/29.44 |-Branch one: % 71.61/29.44 | (105) all_0_0_0 = sz00 % 71.61/29.44 | % 71.61/29.44 | Equations (105) can reduce 20 to: % 71.61/29.44 | (106) $false % 71.61/29.44 | % 71.61/29.44 |-The branch is then unsatisfiable % 71.61/29.44 |-Branch two: % 71.61/29.44 | (20) ~ (all_0_0_0 = sz00) % 71.61/29.44 | (118) ? [v0] : ? [v1] : ( ~ (v0 = sz00) & sbrdtbr0(v0) = v1 & aElementOf0(v0, xI) = 0 & ! [v2] : ! [v3] : (v2 = sz00 | ~ (iLess0(v3, v1) = 0) | ~ (sbrdtbr0(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & aElementOf0(v2, xI) = v4))) % 71.61/29.44 | % 71.61/29.44 | Instantiating (118) with all_42_0_80, all_42_1_81 yields: % 71.61/29.44 | (119) ~ (all_42_1_81 = sz00) & sbrdtbr0(all_42_1_81) = all_42_0_80 & aElementOf0(all_42_1_81, xI) = 0 & ! [v0] : ! [v1] : (v0 = sz00 | ~ (iLess0(v1, all_42_0_80) = 0) | ~ (sbrdtbr0(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aElementOf0(v0, xI) = v2)) % 71.61/29.44 | % 71.61/29.44 | Applying alpha-rule on (119) yields: % 71.61/29.44 | (120) ~ (all_42_1_81 = sz00) % 71.61/29.44 | (121) sbrdtbr0(all_42_1_81) = all_42_0_80 % 71.61/29.44 | (122) aElementOf0(all_42_1_81, xI) = 0 % 71.61/29.44 | (123) ! [v0] : ! [v1] : (v0 = sz00 | ~ (iLess0(v1, all_42_0_80) = 0) | ~ (sbrdtbr0(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aElementOf0(v0, xI) = v2)) % 71.61/29.44 | % 71.61/29.44 | Instantiating formula (79) with xb, all_21_1_47, 0 and discharging atoms aElement0(xb) = all_21_1_47, aElement0(xb) = 0, yields: % 71.61/29.44 | (124) all_21_1_47 = 0 % 71.61/29.44 | % 71.61/29.44 | Instantiating formula (79) with xa, all_10_1_9, 0 and discharging atoms aElement0(xa) = all_10_1_9, aElement0(xa) = 0, yields: % 71.61/29.44 | (125) all_10_1_9 = 0 % 71.61/29.44 | % 71.61/29.44 | Instantiating formula (79) with sz10, all_24_1_53, 0 and discharging atoms aElement0(sz10) = all_24_1_53, aElement0(sz10) = 0, yields: % 71.61/29.44 | (126) all_24_1_53 = 0 % 71.61/29.44 | % 71.61/29.44 | From (124) and (99) follows: % 71.61/29.44 | (53) aElement0(xb) = 0 % 71.61/29.44 | % 71.61/29.44 | From (125) and (95) follows: % 71.61/29.44 | (74) aElement0(xa) = 0 % 71.61/29.44 | % 71.61/29.44 | From (126) and (103) follows: % 71.61/29.44 | (12) aElement0(sz10) = 0 % 71.61/29.44 | % 71.61/29.44 +-Applying beta-rule and splitting (104), into two cases. % 71.61/29.44 |-Branch one: % 71.61/29.44 | (130) ~ (all_24_1_53 = 0) % 71.61/29.44 | % 71.61/29.44 | Equations (126) can reduce 130 to: % 71.61/29.44 | (106) $false % 71.61/29.44 | % 71.61/29.44 |-The branch is then unsatisfiable % 71.61/29.44 |-Branch two: % 71.61/29.44 | (126) all_24_1_53 = 0 % 71.61/29.44 | (133) all_24_0_52 = 0 % 71.61/29.44 | % 71.61/29.44 | From (133) and (102) follows: % 71.61/29.44 | (134) aElement0(all_0_3_3) = 0 % 71.61/29.44 | % 71.61/29.44 | Instantiating formula (36) with all_42_0_80, all_42_1_81, xb and discharging atoms sbrdtbr0(all_42_1_81) = all_42_0_80, aElement0(xb) = 0, yields: % 71.61/29.44 | (135) all_42_1_81 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = xb & v3 = 0 & v2 = 0 & iLess0(v6, all_42_0_80) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_42_1_81) = v4 & sdtpldt0(v4, v1) = xb & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_42_1_81) = v0)) % 71.61/29.44 | % 71.61/29.44 | Instantiating formula (36) with all_42_0_80, all_42_1_81, xa and discharging atoms sbrdtbr0(all_42_1_81) = all_42_0_80, aElement0(xa) = 0, yields: % 71.61/29.44 | (136) all_42_1_81 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = xa & v3 = 0 & v2 = 0 & iLess0(v6, all_42_0_80) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_42_1_81) = v4 & sdtpldt0(v4, v1) = xa & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_42_1_81) = v0)) % 71.61/29.44 | % 71.61/29.44 | Instantiating formula (36) with all_42_0_80, all_42_1_81, sz10 and discharging atoms sbrdtbr0(all_42_1_81) = all_42_0_80, aElement0(sz10) = 0, yields: % 71.61/29.45 | (137) all_42_1_81 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = sz10 & v3 = 0 & v2 = 0 & iLess0(v6, all_42_0_80) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_42_1_81) = v4 & sdtpldt0(v4, v1) = sz10 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_42_1_81) = v0)) % 71.61/29.45 | % 71.61/29.45 | Instantiating formula (36) with all_42_0_80, all_42_1_81, sz00 and discharging atoms sbrdtbr0(all_42_1_81) = all_42_0_80, aElement0(sz00) = 0, yields: % 71.61/29.45 | (138) all_42_1_81 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = sz00 & v3 = 0 & v2 = 0 & iLess0(v6, all_42_0_80) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_42_1_81) = v4 & sdtpldt0(v4, v1) = sz00 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_42_1_81) = v0)) % 71.61/29.45 | % 71.61/29.45 | Instantiating formula (71) with all_42_0_80, all_42_1_81 and discharging atoms sbrdtbr0(all_42_1_81) = all_42_0_80, yields: % 71.61/29.45 | (139) all_42_1_81 = sz00 | ? [v0] : ? [v1] : (aNaturalNumber0(all_42_0_80) = v1 & aElement0(all_42_1_81) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 71.61/29.45 | % 71.61/29.45 | Instantiating formula (36) with all_37_0_77, all_37_1_78, xb and discharging atoms sbrdtbr0(all_37_1_78) = all_37_0_77, aElement0(xb) = 0, yields: % 71.61/29.45 | (140) all_37_1_78 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = xb & v3 = 0 & v2 = 0 & iLess0(v6, all_37_0_77) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_37_1_78) = v4 & sdtpldt0(v4, v1) = xb & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_37_1_78) = v0)) % 71.61/29.45 | % 71.61/29.45 | Instantiating formula (36) with all_37_0_77, all_37_1_78, xa and discharging atoms sbrdtbr0(all_37_1_78) = all_37_0_77, aElement0(xa) = 0, yields: % 71.61/29.45 | (141) all_37_1_78 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = xa & v3 = 0 & v2 = 0 & iLess0(v6, all_37_0_77) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_37_1_78) = v4 & sdtpldt0(v4, v1) = xa & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_37_1_78) = v0)) % 71.61/29.45 | % 71.61/29.45 | Instantiating formula (36) with all_37_0_77, all_37_1_78, sz10 and discharging atoms sbrdtbr0(all_37_1_78) = all_37_0_77, aElement0(sz10) = 0, yields: % 71.61/29.45 | (142) all_37_1_78 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = sz10 & v3 = 0 & v2 = 0 & iLess0(v6, all_37_0_77) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_37_1_78) = v4 & sdtpldt0(v4, v1) = sz10 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_37_1_78) = v0)) % 71.61/29.45 | % 71.61/29.45 | Instantiating formula (36) with all_37_0_77, all_37_1_78, sz00 and discharging atoms sbrdtbr0(all_37_1_78) = all_37_0_77, aElement0(sz00) = 0, yields: % 71.61/29.45 | (143) all_37_1_78 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = sz00 & v3 = 0 & v2 = 0 & iLess0(v6, all_37_0_77) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_37_1_78) = v4 & sdtpldt0(v4, v1) = sz00 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_37_1_78) = v0)) % 71.61/29.45 | % 71.61/29.45 | Instantiating formula (71) with all_37_0_77, all_37_1_78 and discharging atoms sbrdtbr0(all_37_1_78) = all_37_0_77, yields: % 71.61/29.45 | (144) all_37_1_78 = sz00 | ? [v0] : ? [v1] : (aNaturalNumber0(all_37_0_77) = v1 & aElement0(all_37_1_78) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 71.61/29.45 | % 71.61/29.45 | Instantiating formula (36) with all_37_2_79, all_0_0_0, xb and discharging atoms sbrdtbr0(all_0_0_0) = all_37_2_79, aElement0(xb) = 0, yields: % 71.61/29.45 | (145) all_0_0_0 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = xb & v3 = 0 & v2 = 0 & iLess0(v6, all_37_2_79) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_0_0_0) = v4 & sdtpldt0(v4, v1) = xb & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_0_0_0) = v0)) % 71.61/29.45 | % 71.61/29.45 | Instantiating formula (36) with all_37_2_79, all_0_0_0, xa and discharging atoms sbrdtbr0(all_0_0_0) = all_37_2_79, aElement0(xa) = 0, yields: % 71.61/29.45 | (146) all_0_0_0 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = xa & v3 = 0 & v2 = 0 & iLess0(v6, all_37_2_79) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_0_0_0) = v4 & sdtpldt0(v4, v1) = xa & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_0_0_0) = v0)) % 71.61/29.45 | % 71.61/29.45 | Instantiating formula (36) with all_37_2_79, all_0_0_0, sz10 and discharging atoms sbrdtbr0(all_0_0_0) = all_37_2_79, aElement0(sz10) = 0, yields: % 71.61/29.45 | (147) all_0_0_0 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = sz10 & v3 = 0 & v2 = 0 & iLess0(v6, all_37_2_79) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_0_0_0) = v4 & sdtpldt0(v4, v1) = sz10 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_0_0_0) = v0)) % 71.61/29.45 | % 71.61/29.45 | Instantiating formula (36) with all_37_2_79, all_0_0_0, sz00 and discharging atoms sbrdtbr0(all_0_0_0) = all_37_2_79, aElement0(sz00) = 0, yields: % 71.61/29.45 | (148) all_0_0_0 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = sz00 & v3 = 0 & v2 = 0 & iLess0(v6, all_37_2_79) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_0_0_0) = v4 & sdtpldt0(v4, v1) = sz00 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_0_0_0) = v0)) % 71.61/29.45 | % 71.61/29.45 | Instantiating formula (71) with all_37_2_79, all_0_0_0 and discharging atoms sbrdtbr0(all_0_0_0) = all_37_2_79, yields: % 71.61/29.45 | (149) all_0_0_0 = sz00 | ? [v0] : ? [v1] : (aNaturalNumber0(all_37_2_79) = v1 & aElement0(all_0_0_0) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 71.61/29.45 | % 71.61/29.45 | Instantiating formula (50) with all_0_0_0, xI and discharging atoms aSet0(xI) = 0, aElementOf0(all_0_0_0, xI) = 0, yields: % 71.61/29.45 | (150) aElement0(all_0_0_0) = 0 % 71.61/29.45 | % 71.61/29.45 | Instantiating formula (50) with all_42_1_81, xI and discharging atoms aSet0(xI) = 0, aElementOf0(all_42_1_81, xI) = 0, yields: % 71.61/29.45 | (151) aElement0(all_42_1_81) = 0 % 71.61/29.45 | % 71.61/29.45 | Instantiating formula (10) with all_42_1_81 and discharging atoms aElementOf0(all_42_1_81, xI) = 0, yields: % 71.61/29.45 | (152) all_42_1_81 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v1 = sz00) & iLess0(v2, v0) = 0 & sbrdtbr0(v1) = v2 & sbrdtbr0(all_42_1_81) = v0 & aElementOf0(v1, xI) = 0) % 71.61/29.45 | % 71.61/29.45 | Instantiating formula (13) with all_42_1_81 and discharging atoms aElementOf0(all_42_1_81, xI) = 0, yields: % 71.61/29.45 | (153) all_42_1_81 = sz00 | ? [v0] : ? [v1] : ( ~ (v0 = sz00) & sbrdtbr0(v0) = v1 & aElementOf0(v0, xI) = 0 & ! [v2] : ! [v3] : (v2 = sz00 | ~ (iLess0(v3, v1) = 0) | ~ (sbrdtbr0(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & aElementOf0(v2, xI) = v4))) % 71.61/29.45 | % 71.61/29.45 | Instantiating formula (50) with all_37_1_78, xI and discharging atoms aSet0(xI) = 0, aElementOf0(all_37_1_78, xI) = 0, yields: % 71.61/29.45 | (154) aElement0(all_37_1_78) = 0 % 71.61/29.45 | % 71.61/29.45 | Instantiating formula (10) with all_37_1_78 and discharging atoms aElementOf0(all_37_1_78, xI) = 0, yields: % 71.61/29.45 | (155) all_37_1_78 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v1 = sz00) & iLess0(v2, v0) = 0 & sbrdtbr0(v1) = v2 & sbrdtbr0(all_37_1_78) = v0 & aElementOf0(v1, xI) = 0) % 71.61/29.46 | % 71.61/29.46 | Instantiating formula (13) with all_37_1_78 and discharging atoms aElementOf0(all_37_1_78, xI) = 0, yields: % 71.61/29.46 | (156) all_37_1_78 = sz00 | ? [v0] : ? [v1] : ( ~ (v0 = sz00) & sbrdtbr0(v0) = v1 & aElementOf0(v0, xI) = 0 & ! [v2] : ! [v3] : (v2 = sz00 | ~ (iLess0(v3, v1) = 0) | ~ (sbrdtbr0(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & aElementOf0(v2, xI) = v4))) % 71.61/29.46 | % 71.61/29.46 | Instantiating formula (36) with all_42_0_80, all_42_1_81, all_0_3_3 and discharging atoms sbrdtbr0(all_42_1_81) = all_42_0_80, aElement0(all_0_3_3) = 0, yields: % 71.61/29.46 | (157) all_42_1_81 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_0_3_3 & v3 = 0 & v2 = 0 & iLess0(v6, all_42_0_80) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_42_1_81) = v4 & sdtpldt0(v4, v1) = all_0_3_3 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_42_1_81) = v0)) % 71.61/29.46 | % 71.61/29.46 | Instantiating formula (36) with all_37_0_77, all_37_1_78, all_0_3_3 and discharging atoms sbrdtbr0(all_37_1_78) = all_37_0_77, aElement0(all_0_3_3) = 0, yields: % 71.61/29.46 | (158) all_37_1_78 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_0_3_3 & v3 = 0 & v2 = 0 & iLess0(v6, all_37_0_77) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_37_1_78) = v4 & sdtpldt0(v4, v1) = all_0_3_3 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_37_1_78) = v0)) % 71.61/29.46 | % 71.61/29.46 | Instantiating formula (36) with all_37_2_79, all_0_0_0, all_0_3_3 and discharging atoms sbrdtbr0(all_0_0_0) = all_37_2_79, aElement0(all_0_3_3) = 0, yields: % 71.61/29.46 | (159) all_0_0_0 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_0_3_3 & v3 = 0 & v2 = 0 & iLess0(v6, all_37_2_79) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_0_0_0) = v4 & sdtpldt0(v4, v1) = all_0_3_3 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_0_0_0) = v0)) % 71.61/29.46 | % 71.61/29.46 +-Applying beta-rule and splitting (155), into two cases. % 71.61/29.46 |-Branch one: % 71.61/29.46 | (160) all_37_1_78 = sz00 % 71.61/29.46 | % 71.61/29.46 | Equations (160) can reduce 110 to: % 71.61/29.46 | (106) $false % 71.61/29.46 | % 71.61/29.46 |-The branch is then unsatisfiable % 71.61/29.46 |-Branch two: % 71.61/29.46 | (110) ~ (all_37_1_78 = sz00) % 71.61/29.46 | (163) ? [v0] : ? [v1] : ? [v2] : ( ~ (v1 = sz00) & iLess0(v2, v0) = 0 & sbrdtbr0(v1) = v2 & sbrdtbr0(all_37_1_78) = v0 & aElementOf0(v1, xI) = 0) % 71.61/29.46 | % 71.61/29.46 +-Applying beta-rule and splitting (156), into two cases. % 71.61/29.46 |-Branch one: % 71.61/29.46 | (160) all_37_1_78 = sz00 % 71.61/29.46 | % 71.61/29.46 | Equations (160) can reduce 110 to: % 71.61/29.46 | (106) $false % 71.61/29.46 | % 71.61/29.46 |-The branch is then unsatisfiable % 71.61/29.46 |-Branch two: % 71.61/29.46 | (110) ~ (all_37_1_78 = sz00) % 71.61/29.46 | (118) ? [v0] : ? [v1] : ( ~ (v0 = sz00) & sbrdtbr0(v0) = v1 & aElementOf0(v0, xI) = 0 & ! [v2] : ! [v3] : (v2 = sz00 | ~ (iLess0(v3, v1) = 0) | ~ (sbrdtbr0(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & aElementOf0(v2, xI) = v4))) % 71.61/29.46 | % 71.61/29.46 +-Applying beta-rule and splitting (149), into two cases. % 71.61/29.46 |-Branch one: % 71.61/29.46 | (105) all_0_0_0 = sz00 % 71.61/29.46 | % 71.61/29.46 | Equations (105) can reduce 20 to: % 71.61/29.46 | (106) $false % 71.61/29.46 | % 71.61/29.46 |-The branch is then unsatisfiable % 71.61/29.46 |-Branch two: % 71.61/29.46 | (20) ~ (all_0_0_0 = sz00) % 71.61/29.46 | (171) ? [v0] : ? [v1] : (aNaturalNumber0(all_37_2_79) = v1 & aElement0(all_0_0_0) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 71.61/29.46 | % 71.61/29.46 | Instantiating (171) with all_102_0_138, all_102_1_139 yields: % 71.61/29.46 | (172) aNaturalNumber0(all_37_2_79) = all_102_0_138 & aElement0(all_0_0_0) = all_102_1_139 & ( ~ (all_102_1_139 = 0) | all_102_0_138 = 0) % 71.61/29.46 | % 71.61/29.46 | Applying alpha-rule on (172) yields: % 71.61/29.46 | (173) aNaturalNumber0(all_37_2_79) = all_102_0_138 % 71.61/29.46 | (174) aElement0(all_0_0_0) = all_102_1_139 % 71.61/29.46 | (175) ~ (all_102_1_139 = 0) | all_102_0_138 = 0 % 71.61/29.46 | % 71.61/29.46 +-Applying beta-rule and splitting (144), into two cases. % 71.61/29.46 |-Branch one: % 71.61/29.46 | (160) all_37_1_78 = sz00 % 71.61/29.46 | % 71.61/29.46 | Equations (160) can reduce 110 to: % 71.61/29.46 | (106) $false % 71.61/29.46 | % 71.61/29.46 |-The branch is then unsatisfiable % 71.61/29.46 |-Branch two: % 71.61/29.46 | (110) ~ (all_37_1_78 = sz00) % 71.61/29.46 | (179) ? [v0] : ? [v1] : (aNaturalNumber0(all_37_0_77) = v1 & aElement0(all_37_1_78) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 71.61/29.46 | % 71.61/29.46 | Instantiating (179) with all_116_0_140, all_116_1_141 yields: % 71.61/29.46 | (180) aNaturalNumber0(all_37_0_77) = all_116_0_140 & aElement0(all_37_1_78) = all_116_1_141 & ( ~ (all_116_1_141 = 0) | all_116_0_140 = 0) % 71.61/29.46 | % 71.61/29.46 | Applying alpha-rule on (180) yields: % 71.61/29.46 | (181) aNaturalNumber0(all_37_0_77) = all_116_0_140 % 71.61/29.46 | (182) aElement0(all_37_1_78) = all_116_1_141 % 71.61/29.46 | (183) ~ (all_116_1_141 = 0) | all_116_0_140 = 0 % 71.61/29.46 | % 71.61/29.46 +-Applying beta-rule and splitting (145), into two cases. % 71.61/29.46 |-Branch one: % 71.61/29.46 | (105) all_0_0_0 = sz00 % 71.61/29.46 | % 71.61/29.46 | Equations (105) can reduce 20 to: % 71.61/29.46 | (106) $false % 71.61/29.46 | % 71.61/29.46 |-The branch is then unsatisfiable % 71.61/29.46 |-Branch two: % 71.61/29.46 | (20) ~ (all_0_0_0 = sz00) % 71.61/29.46 | (187) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = xb & v3 = 0 & v2 = 0 & iLess0(v6, all_37_2_79) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_0_0_0) = v4 & sdtpldt0(v4, v1) = xb & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_0_0_0) = v0)) % 71.61/29.46 | % 71.61/29.46 | Instantiating (187) with all_121_0_142, all_121_1_143, all_121_2_144, all_121_3_145, all_121_4_146, all_121_5_147, all_121_6_148, all_121_7_149 yields: % 71.61/29.46 | (188) (all_121_2_144 = xb & all_121_4_146 = 0 & all_121_5_147 = 0 & iLess0(all_121_1_143, all_37_2_79) = all_121_0_142 & sbrdtbr0(all_121_6_148) = all_121_1_143 & sdtasdt0(all_121_7_149, all_0_0_0) = all_121_3_145 & sdtpldt0(all_121_3_145, all_121_6_148) = xb & aElement0(all_121_6_148) = 0 & aElement0(all_121_7_149) = 0 & (all_121_0_142 = 0 | all_121_6_148 = sz00)) | ( ~ (all_121_7_149 = 0) & aElement0(all_0_0_0) = all_121_7_149) % 71.61/29.46 | % 71.61/29.46 +-Applying beta-rule and splitting (148), into two cases. % 71.61/29.46 |-Branch one: % 71.61/29.46 | (105) all_0_0_0 = sz00 % 71.61/29.46 | % 71.61/29.46 | Equations (105) can reduce 20 to: % 71.61/29.46 | (106) $false % 71.61/29.46 | % 71.61/29.46 |-The branch is then unsatisfiable % 71.61/29.46 |-Branch two: % 71.61/29.46 | (20) ~ (all_0_0_0 = sz00) % 71.61/29.46 | (192) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = sz00 & v3 = 0 & v2 = 0 & iLess0(v6, all_37_2_79) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_0_0_0) = v4 & sdtpldt0(v4, v1) = sz00 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_0_0_0) = v0)) % 71.61/29.46 | % 71.61/29.46 | Instantiating (192) with all_125_0_150, all_125_1_151, all_125_2_152, all_125_3_153, all_125_4_154, all_125_5_155, all_125_6_156, all_125_7_157 yields: % 71.61/29.46 | (193) (all_125_2_152 = sz00 & all_125_4_154 = 0 & all_125_5_155 = 0 & iLess0(all_125_1_151, all_37_2_79) = all_125_0_150 & sbrdtbr0(all_125_6_156) = all_125_1_151 & sdtasdt0(all_125_7_157, all_0_0_0) = all_125_3_153 & sdtpldt0(all_125_3_153, all_125_6_156) = sz00 & aElement0(all_125_6_156) = 0 & aElement0(all_125_7_157) = 0 & (all_125_0_150 = 0 | all_125_6_156 = sz00)) | ( ~ (all_125_7_157 = 0) & aElement0(all_0_0_0) = all_125_7_157) % 71.61/29.46 | % 71.61/29.46 +-Applying beta-rule and splitting (143), into two cases. % 71.61/29.46 |-Branch one: % 71.61/29.46 | (160) all_37_1_78 = sz00 % 71.61/29.46 | % 71.61/29.46 | Equations (160) can reduce 110 to: % 71.61/29.46 | (106) $false % 71.61/29.46 | % 71.61/29.46 |-The branch is then unsatisfiable % 71.61/29.46 |-Branch two: % 71.61/29.46 | (110) ~ (all_37_1_78 = sz00) % 71.61/29.46 | (197) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = sz00 & v3 = 0 & v2 = 0 & iLess0(v6, all_37_0_77) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_37_1_78) = v4 & sdtpldt0(v4, v1) = sz00 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_37_1_78) = v0)) % 71.61/29.47 | % 71.61/29.47 | Instantiating (197) with all_133_0_158, all_133_1_159, all_133_2_160, all_133_3_161, all_133_4_162, all_133_5_163, all_133_6_164, all_133_7_165 yields: % 71.61/29.47 | (198) (all_133_2_160 = sz00 & all_133_4_162 = 0 & all_133_5_163 = 0 & iLess0(all_133_1_159, all_37_0_77) = all_133_0_158 & sbrdtbr0(all_133_6_164) = all_133_1_159 & sdtasdt0(all_133_7_165, all_37_1_78) = all_133_3_161 & sdtpldt0(all_133_3_161, all_133_6_164) = sz00 & aElement0(all_133_6_164) = 0 & aElement0(all_133_7_165) = 0 & (all_133_0_158 = 0 | all_133_6_164 = sz00)) | ( ~ (all_133_7_165 = 0) & aElement0(all_37_1_78) = all_133_7_165) % 71.61/29.47 | % 71.61/29.47 +-Applying beta-rule and splitting (158), into two cases. % 71.61/29.47 |-Branch one: % 71.61/29.47 | (160) all_37_1_78 = sz00 % 71.61/29.47 | % 71.61/29.47 | Equations (160) can reduce 110 to: % 71.61/29.47 | (106) $false % 71.61/29.47 | % 71.61/29.47 |-The branch is then unsatisfiable % 71.61/29.47 |-Branch two: % 71.61/29.47 | (110) ~ (all_37_1_78 = sz00) % 71.61/29.47 | (202) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_0_3_3 & v3 = 0 & v2 = 0 & iLess0(v6, all_37_0_77) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_37_1_78) = v4 & sdtpldt0(v4, v1) = all_0_3_3 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_37_1_78) = v0)) % 71.61/29.47 | % 71.61/29.47 | Instantiating (202) with all_137_0_166, all_137_1_167, all_137_2_168, all_137_3_169, all_137_4_170, all_137_5_171, all_137_6_172, all_137_7_173 yields: % 71.61/29.47 | (203) (all_137_2_168 = all_0_3_3 & all_137_4_170 = 0 & all_137_5_171 = 0 & iLess0(all_137_1_167, all_37_0_77) = all_137_0_166 & sbrdtbr0(all_137_6_172) = all_137_1_167 & sdtasdt0(all_137_7_173, all_37_1_78) = all_137_3_169 & sdtpldt0(all_137_3_169, all_137_6_172) = all_0_3_3 & aElement0(all_137_6_172) = 0 & aElement0(all_137_7_173) = 0 & (all_137_0_166 = 0 | all_137_6_172 = sz00)) | ( ~ (all_137_7_173 = 0) & aElement0(all_37_1_78) = all_137_7_173) % 71.61/29.47 | % 71.61/29.47 +-Applying beta-rule and splitting (157), into two cases. % 71.61/29.47 |-Branch one: % 71.61/29.47 | (204) all_42_1_81 = sz00 % 71.61/29.47 | % 71.61/29.47 | Equations (204) can reduce 120 to: % 71.61/29.47 | (106) $false % 71.61/29.47 | % 71.61/29.47 |-The branch is then unsatisfiable % 71.61/29.47 |-Branch two: % 71.61/29.47 | (120) ~ (all_42_1_81 = sz00) % 71.61/29.47 | (207) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_0_3_3 & v3 = 0 & v2 = 0 & iLess0(v6, all_42_0_80) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_42_1_81) = v4 & sdtpldt0(v4, v1) = all_0_3_3 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_42_1_81) = v0)) % 71.61/29.47 | % 71.61/29.47 | Instantiating (207) with all_141_0_174, all_141_1_175, all_141_2_176, all_141_3_177, all_141_4_178, all_141_5_179, all_141_6_180, all_141_7_181 yields: % 71.61/29.47 | (208) (all_141_2_176 = all_0_3_3 & all_141_4_178 = 0 & all_141_5_179 = 0 & iLess0(all_141_1_175, all_42_0_80) = all_141_0_174 & sbrdtbr0(all_141_6_180) = all_141_1_175 & sdtasdt0(all_141_7_181, all_42_1_81) = all_141_3_177 & sdtpldt0(all_141_3_177, all_141_6_180) = all_0_3_3 & aElement0(all_141_6_180) = 0 & aElement0(all_141_7_181) = 0 & (all_141_0_174 = 0 | all_141_6_180 = sz00)) | ( ~ (all_141_7_181 = 0) & aElement0(all_42_1_81) = all_141_7_181) % 71.61/29.47 | % 71.61/29.47 +-Applying beta-rule and splitting (159), into two cases. % 71.61/29.47 |-Branch one: % 71.61/29.47 | (105) all_0_0_0 = sz00 % 71.61/29.47 | % 71.61/29.47 | Equations (105) can reduce 20 to: % 71.61/29.47 | (106) $false % 71.61/29.47 | % 71.61/29.47 |-The branch is then unsatisfiable % 71.61/29.47 |-Branch two: % 71.61/29.47 | (20) ~ (all_0_0_0 = sz00) % 71.61/29.47 | (212) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_0_3_3 & v3 = 0 & v2 = 0 & iLess0(v6, all_37_2_79) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_0_0_0) = v4 & sdtpldt0(v4, v1) = all_0_3_3 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_0_0_0) = v0)) % 71.61/29.47 | % 71.61/29.47 | Instantiating (212) with all_145_0_182, all_145_1_183, all_145_2_184, all_145_3_185, all_145_4_186, all_145_5_187, all_145_6_188, all_145_7_189 yields: % 71.61/29.47 | (213) (all_145_2_184 = all_0_3_3 & all_145_4_186 = 0 & all_145_5_187 = 0 & iLess0(all_145_1_183, all_37_2_79) = all_145_0_182 & sbrdtbr0(all_145_6_188) = all_145_1_183 & sdtasdt0(all_145_7_189, all_0_0_0) = all_145_3_185 & sdtpldt0(all_145_3_185, all_145_6_188) = all_0_3_3 & aElement0(all_145_6_188) = 0 & aElement0(all_145_7_189) = 0 & (all_145_0_182 = 0 | all_145_6_188 = sz00)) | ( ~ (all_145_7_189 = 0) & aElement0(all_0_0_0) = all_145_7_189) % 71.61/29.47 | % 71.61/29.47 +-Applying beta-rule and splitting (153), into two cases. % 71.61/29.47 |-Branch one: % 71.61/29.47 | (204) all_42_1_81 = sz00 % 71.61/29.47 | % 71.61/29.47 | Equations (204) can reduce 120 to: % 71.61/29.47 | (106) $false % 71.61/29.47 | % 71.61/29.47 |-The branch is then unsatisfiable % 71.61/29.47 |-Branch two: % 71.61/29.47 | (120) ~ (all_42_1_81 = sz00) % 71.61/29.47 | (118) ? [v0] : ? [v1] : ( ~ (v0 = sz00) & sbrdtbr0(v0) = v1 & aElementOf0(v0, xI) = 0 & ! [v2] : ! [v3] : (v2 = sz00 | ~ (iLess0(v3, v1) = 0) | ~ (sbrdtbr0(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & aElementOf0(v2, xI) = v4))) % 71.61/29.47 | % 71.61/29.47 +-Applying beta-rule and splitting (139), into two cases. % 71.61/29.47 |-Branch one: % 71.61/29.47 | (204) all_42_1_81 = sz00 % 71.61/29.47 | % 71.61/29.47 | Equations (204) can reduce 120 to: % 71.61/29.47 | (106) $false % 71.61/29.47 | % 71.61/29.47 |-The branch is then unsatisfiable % 71.61/29.47 |-Branch two: % 71.61/29.47 | (120) ~ (all_42_1_81 = sz00) % 71.61/29.47 | (221) ? [v0] : ? [v1] : (aNaturalNumber0(all_42_0_80) = v1 & aElement0(all_42_1_81) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 71.61/29.47 | % 71.61/29.47 | Instantiating (221) with all_156_0_192, all_156_1_193 yields: % 71.61/29.47 | (222) aNaturalNumber0(all_42_0_80) = all_156_0_192 & aElement0(all_42_1_81) = all_156_1_193 & ( ~ (all_156_1_193 = 0) | all_156_0_192 = 0) % 71.61/29.47 | % 71.61/29.47 | Applying alpha-rule on (222) yields: % 71.61/29.47 | (223) aNaturalNumber0(all_42_0_80) = all_156_0_192 % 71.61/29.47 | (224) aElement0(all_42_1_81) = all_156_1_193 % 71.61/29.47 | (225) ~ (all_156_1_193 = 0) | all_156_0_192 = 0 % 71.61/29.47 | % 71.61/29.47 +-Applying beta-rule and splitting (140), into two cases. % 71.61/29.47 |-Branch one: % 71.61/29.47 | (160) all_37_1_78 = sz00 % 71.61/29.47 | % 71.61/29.47 | Equations (160) can reduce 110 to: % 71.61/29.47 | (106) $false % 71.61/29.47 | % 71.61/29.47 |-The branch is then unsatisfiable % 71.61/29.47 |-Branch two: % 71.61/29.47 | (110) ~ (all_37_1_78 = sz00) % 71.61/29.47 | (229) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = xb & v3 = 0 & v2 = 0 & iLess0(v6, all_37_0_77) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_37_1_78) = v4 & sdtpldt0(v4, v1) = xb & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_37_1_78) = v0)) % 71.61/29.47 | % 71.61/29.47 | Instantiating (229) with all_161_0_194, all_161_1_195, all_161_2_196, all_161_3_197, all_161_4_198, all_161_5_199, all_161_6_200, all_161_7_201 yields: % 71.61/29.47 | (230) (all_161_2_196 = xb & all_161_4_198 = 0 & all_161_5_199 = 0 & iLess0(all_161_1_195, all_37_0_77) = all_161_0_194 & sbrdtbr0(all_161_6_200) = all_161_1_195 & sdtasdt0(all_161_7_201, all_37_1_78) = all_161_3_197 & sdtpldt0(all_161_3_197, all_161_6_200) = xb & aElement0(all_161_6_200) = 0 & aElement0(all_161_7_201) = 0 & (all_161_0_194 = 0 | all_161_6_200 = sz00)) | ( ~ (all_161_7_201 = 0) & aElement0(all_37_1_78) = all_161_7_201) % 71.61/29.47 | % 71.61/29.47 +-Applying beta-rule and splitting (142), into two cases. % 71.61/29.47 |-Branch one: % 71.61/29.47 | (160) all_37_1_78 = sz00 % 71.61/29.47 | % 71.61/29.47 | Equations (160) can reduce 110 to: % 71.61/29.47 | (106) $false % 71.61/29.47 | % 71.61/29.47 |-The branch is then unsatisfiable % 71.61/29.47 |-Branch two: % 71.61/29.47 | (110) ~ (all_37_1_78 = sz00) % 71.61/29.47 | (234) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = sz10 & v3 = 0 & v2 = 0 & iLess0(v6, all_37_0_77) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_37_1_78) = v4 & sdtpldt0(v4, v1) = sz10 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_37_1_78) = v0)) % 71.61/29.47 | % 71.61/29.47 | Instantiating (234) with all_165_0_202, all_165_1_203, all_165_2_204, all_165_3_205, all_165_4_206, all_165_5_207, all_165_6_208, all_165_7_209 yields: % 71.61/29.47 | (235) (all_165_2_204 = sz10 & all_165_4_206 = 0 & all_165_5_207 = 0 & iLess0(all_165_1_203, all_37_0_77) = all_165_0_202 & sbrdtbr0(all_165_6_208) = all_165_1_203 & sdtasdt0(all_165_7_209, all_37_1_78) = all_165_3_205 & sdtpldt0(all_165_3_205, all_165_6_208) = sz10 & aElement0(all_165_6_208) = 0 & aElement0(all_165_7_209) = 0 & (all_165_0_202 = 0 | all_165_6_208 = sz00)) | ( ~ (all_165_7_209 = 0) & aElement0(all_37_1_78) = all_165_7_209) % 71.61/29.47 | % 71.61/29.47 +-Applying beta-rule and splitting (147), into two cases. % 71.61/29.47 |-Branch one: % 71.61/29.47 | (105) all_0_0_0 = sz00 % 71.61/29.47 | % 71.61/29.47 | Equations (105) can reduce 20 to: % 71.61/29.47 | (106) $false % 71.61/29.47 | % 71.61/29.47 |-The branch is then unsatisfiable % 71.61/29.47 |-Branch two: % 71.61/29.47 | (20) ~ (all_0_0_0 = sz00) % 71.61/29.47 | (239) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = sz10 & v3 = 0 & v2 = 0 & iLess0(v6, all_37_2_79) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_0_0_0) = v4 & sdtpldt0(v4, v1) = sz10 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_0_0_0) = v0)) % 71.61/29.47 | % 71.61/29.47 | Instantiating (239) with all_169_0_210, all_169_1_211, all_169_2_212, all_169_3_213, all_169_4_214, all_169_5_215, all_169_6_216, all_169_7_217 yields: % 71.61/29.47 | (240) (all_169_2_212 = sz10 & all_169_4_214 = 0 & all_169_5_215 = 0 & iLess0(all_169_1_211, all_37_2_79) = all_169_0_210 & sbrdtbr0(all_169_6_216) = all_169_1_211 & sdtasdt0(all_169_7_217, all_0_0_0) = all_169_3_213 & sdtpldt0(all_169_3_213, all_169_6_216) = sz10 & aElement0(all_169_6_216) = 0 & aElement0(all_169_7_217) = 0 & (all_169_0_210 = 0 | all_169_6_216 = sz00)) | ( ~ (all_169_7_217 = 0) & aElement0(all_0_0_0) = all_169_7_217) % 71.61/29.47 | % 71.61/29.47 +-Applying beta-rule and splitting (152), into two cases. % 71.61/29.47 |-Branch one: % 71.61/29.47 | (204) all_42_1_81 = sz00 % 71.61/29.47 | % 71.61/29.47 | Equations (204) can reduce 120 to: % 71.61/29.47 | (106) $false % 71.61/29.47 | % 71.61/29.47 |-The branch is then unsatisfiable % 71.61/29.47 |-Branch two: % 71.61/29.47 | (120) ~ (all_42_1_81 = sz00) % 71.61/29.47 | (244) ? [v0] : ? [v1] : ? [v2] : ( ~ (v1 = sz00) & iLess0(v2, v0) = 0 & sbrdtbr0(v1) = v2 & sbrdtbr0(all_42_1_81) = v0 & aElementOf0(v1, xI) = 0) % 71.61/29.47 | % 71.61/29.47 | Instantiating (244) with all_173_0_218, all_173_1_219, all_173_2_220 yields: % 71.61/29.47 | (245) ~ (all_173_1_219 = sz00) & iLess0(all_173_0_218, all_173_2_220) = 0 & sbrdtbr0(all_173_1_219) = all_173_0_218 & sbrdtbr0(all_42_1_81) = all_173_2_220 & aElementOf0(all_173_1_219, xI) = 0 % 71.61/29.48 | % 71.61/29.48 | Applying alpha-rule on (245) yields: % 71.61/29.48 | (246) iLess0(all_173_0_218, all_173_2_220) = 0 % 71.61/29.48 | (247) ~ (all_173_1_219 = sz00) % 71.61/29.48 | (248) aElementOf0(all_173_1_219, xI) = 0 % 71.61/29.48 | (249) sbrdtbr0(all_173_1_219) = all_173_0_218 % 71.61/29.48 | (250) sbrdtbr0(all_42_1_81) = all_173_2_220 % 71.61/29.48 | % 71.61/29.48 +-Applying beta-rule and splitting (146), into two cases. % 71.61/29.48 |-Branch one: % 71.61/29.48 | (105) all_0_0_0 = sz00 % 71.61/29.48 | % 71.61/29.48 | Equations (105) can reduce 20 to: % 71.61/29.48 | (106) $false % 71.61/29.48 | % 71.61/29.48 |-The branch is then unsatisfiable % 71.61/29.48 |-Branch two: % 71.61/29.48 | (20) ~ (all_0_0_0 = sz00) % 71.61/29.48 | (254) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = xa & v3 = 0 & v2 = 0 & iLess0(v6, all_37_2_79) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_0_0_0) = v4 & sdtpldt0(v4, v1) = xa & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_0_0_0) = v0)) % 71.61/29.48 | % 71.61/29.48 | Instantiating (254) with all_182_0_221, all_182_1_222, all_182_2_223, all_182_3_224, all_182_4_225, all_182_5_226, all_182_6_227, all_182_7_228 yields: % 71.61/29.48 | (255) (all_182_2_223 = xa & all_182_4_225 = 0 & all_182_5_226 = 0 & iLess0(all_182_1_222, all_37_2_79) = all_182_0_221 & sbrdtbr0(all_182_6_227) = all_182_1_222 & sdtasdt0(all_182_7_228, all_0_0_0) = all_182_3_224 & sdtpldt0(all_182_3_224, all_182_6_227) = xa & aElement0(all_182_6_227) = 0 & aElement0(all_182_7_228) = 0 & (all_182_0_221 = 0 | all_182_6_227 = sz00)) | ( ~ (all_182_7_228 = 0) & aElement0(all_0_0_0) = all_182_7_228) % 71.61/29.48 | % 71.61/29.48 +-Applying beta-rule and splitting (135), into two cases. % 71.61/29.48 |-Branch one: % 71.61/29.48 | (204) all_42_1_81 = sz00 % 71.61/29.48 | % 71.61/29.48 | Equations (204) can reduce 120 to: % 71.61/29.48 | (106) $false % 71.61/29.48 | % 71.61/29.48 |-The branch is then unsatisfiable % 71.61/29.48 |-Branch two: % 71.61/29.48 | (120) ~ (all_42_1_81 = sz00) % 71.61/29.48 | (259) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = xb & v3 = 0 & v2 = 0 & iLess0(v6, all_42_0_80) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_42_1_81) = v4 & sdtpldt0(v4, v1) = xb & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_42_1_81) = v0)) % 71.61/29.48 | % 71.61/29.48 | Instantiating (259) with all_187_0_229, all_187_1_230, all_187_2_231, all_187_3_232, all_187_4_233, all_187_5_234, all_187_6_235, all_187_7_236 yields: % 71.61/29.48 | (260) (all_187_2_231 = xb & all_187_4_233 = 0 & all_187_5_234 = 0 & iLess0(all_187_1_230, all_42_0_80) = all_187_0_229 & sbrdtbr0(all_187_6_235) = all_187_1_230 & sdtasdt0(all_187_7_236, all_42_1_81) = all_187_3_232 & sdtpldt0(all_187_3_232, all_187_6_235) = xb & aElement0(all_187_6_235) = 0 & aElement0(all_187_7_236) = 0 & (all_187_0_229 = 0 | all_187_6_235 = sz00)) | ( ~ (all_187_7_236 = 0) & aElement0(all_42_1_81) = all_187_7_236) % 71.61/29.48 | % 71.61/29.48 +-Applying beta-rule and splitting (136), into two cases. % 71.61/29.48 |-Branch one: % 71.61/29.48 | (204) all_42_1_81 = sz00 % 71.61/29.48 | % 71.61/29.48 | Equations (204) can reduce 120 to: % 71.61/29.48 | (106) $false % 71.61/29.48 | % 71.61/29.48 |-The branch is then unsatisfiable % 71.61/29.48 |-Branch two: % 71.61/29.48 | (120) ~ (all_42_1_81 = sz00) % 71.61/29.48 | (264) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = xa & v3 = 0 & v2 = 0 & iLess0(v6, all_42_0_80) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_42_1_81) = v4 & sdtpldt0(v4, v1) = xa & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_42_1_81) = v0)) % 71.61/29.48 | % 71.61/29.48 | Instantiating (264) with all_191_0_237, all_191_1_238, all_191_2_239, all_191_3_240, all_191_4_241, all_191_5_242, all_191_6_243, all_191_7_244 yields: % 71.61/29.48 | (265) (all_191_2_239 = xa & all_191_4_241 = 0 & all_191_5_242 = 0 & iLess0(all_191_1_238, all_42_0_80) = all_191_0_237 & sbrdtbr0(all_191_6_243) = all_191_1_238 & sdtasdt0(all_191_7_244, all_42_1_81) = all_191_3_240 & sdtpldt0(all_191_3_240, all_191_6_243) = xa & aElement0(all_191_6_243) = 0 & aElement0(all_191_7_244) = 0 & (all_191_0_237 = 0 | all_191_6_243 = sz00)) | ( ~ (all_191_7_244 = 0) & aElement0(all_42_1_81) = all_191_7_244) % 71.61/29.48 | % 71.61/29.48 +-Applying beta-rule and splitting (137), into two cases. % 71.61/29.48 |-Branch one: % 71.61/29.48 | (204) all_42_1_81 = sz00 % 71.61/29.48 | % 71.61/29.48 | Equations (204) can reduce 120 to: % 71.61/29.48 | (106) $false % 71.61/29.48 | % 71.61/29.48 |-The branch is then unsatisfiable % 71.61/29.48 |-Branch two: % 71.61/29.48 | (120) ~ (all_42_1_81 = sz00) % 71.61/29.48 | (269) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = sz10 & v3 = 0 & v2 = 0 & iLess0(v6, all_42_0_80) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_42_1_81) = v4 & sdtpldt0(v4, v1) = sz10 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_42_1_81) = v0)) % 71.61/29.48 | % 71.61/29.48 | Instantiating (269) with all_195_0_245, all_195_1_246, all_195_2_247, all_195_3_248, all_195_4_249, all_195_5_250, all_195_6_251, all_195_7_252 yields: % 71.61/29.48 | (270) (all_195_2_247 = sz10 & all_195_4_249 = 0 & all_195_5_250 = 0 & iLess0(all_195_1_246, all_42_0_80) = all_195_0_245 & sbrdtbr0(all_195_6_251) = all_195_1_246 & sdtasdt0(all_195_7_252, all_42_1_81) = all_195_3_248 & sdtpldt0(all_195_3_248, all_195_6_251) = sz10 & aElement0(all_195_6_251) = 0 & aElement0(all_195_7_252) = 0 & (all_195_0_245 = 0 | all_195_6_251 = sz00)) | ( ~ (all_195_7_252 = 0) & aElement0(all_42_1_81) = all_195_7_252) % 71.61/29.48 | % 71.61/29.48 +-Applying beta-rule and splitting (138), into two cases. % 71.61/29.48 |-Branch one: % 71.61/29.48 | (204) all_42_1_81 = sz00 % 71.61/29.48 | % 71.61/29.48 | Equations (204) can reduce 120 to: % 71.61/29.48 | (106) $false % 71.61/29.48 | % 71.61/29.48 |-The branch is then unsatisfiable % 71.61/29.48 |-Branch two: % 71.61/29.48 | (120) ~ (all_42_1_81 = sz00) % 71.61/29.48 | (274) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = sz00 & v3 = 0 & v2 = 0 & iLess0(v6, all_42_0_80) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_42_1_81) = v4 & sdtpldt0(v4, v1) = sz00 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_42_1_81) = v0)) % 71.61/29.48 | % 71.61/29.48 | Instantiating (274) with all_199_0_253, all_199_1_254, all_199_2_255, all_199_3_256, all_199_4_257, all_199_5_258, all_199_6_259, all_199_7_260 yields: % 71.61/29.48 | (275) (all_199_2_255 = sz00 & all_199_4_257 = 0 & all_199_5_258 = 0 & iLess0(all_199_1_254, all_42_0_80) = all_199_0_253 & sbrdtbr0(all_199_6_259) = all_199_1_254 & sdtasdt0(all_199_7_260, all_42_1_81) = all_199_3_256 & sdtpldt0(all_199_3_256, all_199_6_259) = sz00 & aElement0(all_199_6_259) = 0 & aElement0(all_199_7_260) = 0 & (all_199_0_253 = 0 | all_199_6_259 = sz00)) | ( ~ (all_199_7_260 = 0) & aElement0(all_42_1_81) = all_199_7_260) % 71.61/29.48 | % 71.61/29.48 +-Applying beta-rule and splitting (141), into two cases. % 71.61/29.48 |-Branch one: % 71.61/29.48 | (160) all_37_1_78 = sz00 % 71.61/29.48 | % 71.61/29.48 | Equations (160) can reduce 110 to: % 71.61/29.48 | (106) $false % 71.61/29.48 | % 71.61/29.48 |-The branch is then unsatisfiable % 71.61/29.48 |-Branch two: % 71.61/29.48 | (110) ~ (all_37_1_78 = sz00) % 71.61/29.48 | (279) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = xa & v3 = 0 & v2 = 0 & iLess0(v6, all_37_0_77) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_37_1_78) = v4 & sdtpldt0(v4, v1) = xa & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_37_1_78) = v0)) % 71.61/29.48 | % 71.61/29.48 | Instantiating (279) with all_203_0_261, all_203_1_262, all_203_2_263, all_203_3_264, all_203_4_265, all_203_5_266, all_203_6_267, all_203_7_268 yields: % 71.61/29.48 | (280) (all_203_2_263 = xa & all_203_4_265 = 0 & all_203_5_266 = 0 & iLess0(all_203_1_262, all_37_0_77) = all_203_0_261 & sbrdtbr0(all_203_6_267) = all_203_1_262 & sdtasdt0(all_203_7_268, all_37_1_78) = all_203_3_264 & sdtpldt0(all_203_3_264, all_203_6_267) = xa & aElement0(all_203_6_267) = 0 & aElement0(all_203_7_268) = 0 & (all_203_0_261 = 0 | all_203_6_267 = sz00)) | ( ~ (all_203_7_268 = 0) & aElement0(all_37_1_78) = all_203_7_268) % 71.61/29.48 | % 71.61/29.48 | Instantiating formula (21) with all_42_1_81, all_173_2_220, all_42_0_80 and discharging atoms sbrdtbr0(all_42_1_81) = all_173_2_220, sbrdtbr0(all_42_1_81) = all_42_0_80, yields: % 71.61/29.48 | (281) all_173_2_220 = all_42_0_80 % 71.61/29.48 | % 71.61/29.48 | Instantiating formula (79) with all_42_1_81, 0, all_156_1_193 and discharging atoms aElement0(all_42_1_81) = all_156_1_193, aElement0(all_42_1_81) = 0, yields: % 71.61/29.48 | (282) all_156_1_193 = 0 % 71.61/29.48 | % 71.61/29.48 | Instantiating formula (79) with all_37_1_78, all_116_1_141, 0 and discharging atoms aElement0(all_37_1_78) = all_116_1_141, aElement0(all_37_1_78) = 0, yields: % 71.61/29.48 | (283) all_116_1_141 = 0 % 71.61/29.48 | % 71.61/29.48 | Instantiating formula (79) with all_0_0_0, all_102_1_139, 0 and discharging atoms aElement0(all_0_0_0) = all_102_1_139, aElement0(all_0_0_0) = 0, yields: % 71.61/29.48 | (284) all_102_1_139 = 0 % 71.61/29.48 | % 71.61/29.48 | From (281) and (246) follows: % 71.61/29.48 | (285) iLess0(all_173_0_218, all_42_0_80) = 0 % 71.61/29.48 | % 71.61/29.48 | From (282) and (224) follows: % 71.61/29.48 | (151) aElement0(all_42_1_81) = 0 % 71.61/29.48 | % 71.61/29.48 | From (283) and (182) follows: % 71.61/29.48 | (154) aElement0(all_37_1_78) = 0 % 71.61/29.48 | % 71.61/29.48 | From (284) and (174) follows: % 71.61/29.48 | (150) aElement0(all_0_0_0) = 0 % 71.61/29.48 | % 71.61/29.48 +-Applying beta-rule and splitting (265), into two cases. % 71.61/29.48 |-Branch one: % 71.61/29.48 | (289) all_191_2_239 = xa & all_191_4_241 = 0 & all_191_5_242 = 0 & iLess0(all_191_1_238, all_42_0_80) = all_191_0_237 & sbrdtbr0(all_191_6_243) = all_191_1_238 & sdtasdt0(all_191_7_244, all_42_1_81) = all_191_3_240 & sdtpldt0(all_191_3_240, all_191_6_243) = xa & aElement0(all_191_6_243) = 0 & aElement0(all_191_7_244) = 0 & (all_191_0_237 = 0 | all_191_6_243 = sz00) % 71.61/29.48 | % 71.61/29.48 | Applying alpha-rule on (289) yields: % 71.61/29.48 | (290) iLess0(all_191_1_238, all_42_0_80) = all_191_0_237 % 71.61/29.48 | (291) sdtpldt0(all_191_3_240, all_191_6_243) = xa % 71.61/29.48 | (292) all_191_2_239 = xa % 71.61/29.48 | (293) sdtasdt0(all_191_7_244, all_42_1_81) = all_191_3_240 % 71.61/29.48 | (294) aElement0(all_191_7_244) = 0 % 71.61/29.48 | (295) all_191_0_237 = 0 | all_191_6_243 = sz00 % 71.61/29.48 | (296) all_191_5_242 = 0 % 71.61/29.48 | (297) sbrdtbr0(all_191_6_243) = all_191_1_238 % 71.61/29.48 | (298) aElement0(all_191_6_243) = 0 % 71.61/29.48 | (299) all_191_4_241 = 0 % 71.61/29.48 | % 71.61/29.48 +-Applying beta-rule and splitting (240), into two cases. % 71.61/29.48 |-Branch one: % 71.61/29.48 | (300) all_169_2_212 = sz10 & all_169_4_214 = 0 & all_169_5_215 = 0 & iLess0(all_169_1_211, all_37_2_79) = all_169_0_210 & sbrdtbr0(all_169_6_216) = all_169_1_211 & sdtasdt0(all_169_7_217, all_0_0_0) = all_169_3_213 & sdtpldt0(all_169_3_213, all_169_6_216) = sz10 & aElement0(all_169_6_216) = 0 & aElement0(all_169_7_217) = 0 & (all_169_0_210 = 0 | all_169_6_216 = sz00) % 71.61/29.48 | % 71.61/29.48 | Applying alpha-rule on (300) yields: % 71.61/29.48 | (301) aElement0(all_169_7_217) = 0 % 71.61/29.48 | (302) sdtpldt0(all_169_3_213, all_169_6_216) = sz10 % 71.61/29.48 | (303) sdtasdt0(all_169_7_217, all_0_0_0) = all_169_3_213 % 71.61/29.48 | (304) all_169_2_212 = sz10 % 71.61/29.48 | (305) all_169_0_210 = 0 | all_169_6_216 = sz00 % 71.61/29.48 | (306) all_169_4_214 = 0 % 71.61/29.48 | (307) iLess0(all_169_1_211, all_37_2_79) = all_169_0_210 % 71.61/29.48 | (308) all_169_5_215 = 0 % 71.61/29.48 | (309) aElement0(all_169_6_216) = 0 % 71.61/29.48 | (310) sbrdtbr0(all_169_6_216) = all_169_1_211 % 71.61/29.49 | % 71.61/29.49 +-Applying beta-rule and splitting (208), into two cases. % 71.61/29.49 |-Branch one: % 71.61/29.49 | (311) all_141_2_176 = all_0_3_3 & all_141_4_178 = 0 & all_141_5_179 = 0 & iLess0(all_141_1_175, all_42_0_80) = all_141_0_174 & sbrdtbr0(all_141_6_180) = all_141_1_175 & sdtasdt0(all_141_7_181, all_42_1_81) = all_141_3_177 & sdtpldt0(all_141_3_177, all_141_6_180) = all_0_3_3 & aElement0(all_141_6_180) = 0 & aElement0(all_141_7_181) = 0 & (all_141_0_174 = 0 | all_141_6_180 = sz00) % 71.61/29.49 | % 71.61/29.49 | Applying alpha-rule on (311) yields: % 71.61/29.49 | (312) all_141_4_178 = 0 % 71.61/29.49 | (313) aElement0(all_141_7_181) = 0 % 71.61/29.49 | (314) all_141_5_179 = 0 % 71.61/29.49 | (315) all_141_2_176 = all_0_3_3 % 71.61/29.49 | (316) sbrdtbr0(all_141_6_180) = all_141_1_175 % 71.61/29.49 | (317) aElement0(all_141_6_180) = 0 % 71.61/29.49 | (318) iLess0(all_141_1_175, all_42_0_80) = all_141_0_174 % 71.61/29.49 | (319) sdtpldt0(all_141_3_177, all_141_6_180) = all_0_3_3 % 71.61/29.49 | (320) all_141_0_174 = 0 | all_141_6_180 = sz00 % 71.61/29.49 | (321) sdtasdt0(all_141_7_181, all_42_1_81) = all_141_3_177 % 71.61/29.49 | % 71.61/29.49 +-Applying beta-rule and splitting (188), into two cases. % 71.61/29.49 |-Branch one: % 71.61/29.49 | (322) all_121_2_144 = xb & all_121_4_146 = 0 & all_121_5_147 = 0 & iLess0(all_121_1_143, all_37_2_79) = all_121_0_142 & sbrdtbr0(all_121_6_148) = all_121_1_143 & sdtasdt0(all_121_7_149, all_0_0_0) = all_121_3_145 & sdtpldt0(all_121_3_145, all_121_6_148) = xb & aElement0(all_121_6_148) = 0 & aElement0(all_121_7_149) = 0 & (all_121_0_142 = 0 | all_121_6_148 = sz00) % 71.61/29.49 | % 71.61/29.49 | Applying alpha-rule on (322) yields: % 71.61/29.49 | (323) aElement0(all_121_6_148) = 0 % 71.61/29.49 | (324) sdtasdt0(all_121_7_149, all_0_0_0) = all_121_3_145 % 71.61/29.49 | (325) iLess0(all_121_1_143, all_37_2_79) = all_121_0_142 % 71.61/29.49 | (326) all_121_5_147 = 0 % 71.61/29.49 | (327) all_121_0_142 = 0 | all_121_6_148 = sz00 % 71.61/29.49 | (328) all_121_4_146 = 0 % 71.61/29.49 | (329) aElement0(all_121_7_149) = 0 % 71.61/29.49 | (330) sdtpldt0(all_121_3_145, all_121_6_148) = xb % 71.61/29.49 | (331) all_121_2_144 = xb % 71.61/29.49 | (332) sbrdtbr0(all_121_6_148) = all_121_1_143 % 71.61/29.49 | % 71.61/29.49 +-Applying beta-rule and splitting (193), into two cases. % 71.61/29.49 |-Branch one: % 71.61/29.49 | (333) all_125_2_152 = sz00 & all_125_4_154 = 0 & all_125_5_155 = 0 & iLess0(all_125_1_151, all_37_2_79) = all_125_0_150 & sbrdtbr0(all_125_6_156) = all_125_1_151 & sdtasdt0(all_125_7_157, all_0_0_0) = all_125_3_153 & sdtpldt0(all_125_3_153, all_125_6_156) = sz00 & aElement0(all_125_6_156) = 0 & aElement0(all_125_7_157) = 0 & (all_125_0_150 = 0 | all_125_6_156 = sz00) % 71.61/29.49 | % 71.61/29.49 | Applying alpha-rule on (333) yields: % 71.61/29.49 | (334) sbrdtbr0(all_125_6_156) = all_125_1_151 % 71.61/29.49 | (335) aElement0(all_125_6_156) = 0 % 71.61/29.49 | (336) all_125_4_154 = 0 % 71.61/29.49 | (337) all_125_2_152 = sz00 % 71.61/29.49 | (338) sdtpldt0(all_125_3_153, all_125_6_156) = sz00 % 71.61/29.49 | (339) all_125_5_155 = 0 % 71.61/29.49 | (340) sdtasdt0(all_125_7_157, all_0_0_0) = all_125_3_153 % 71.61/29.49 | (341) aElement0(all_125_7_157) = 0 % 71.61/29.49 | (342) all_125_0_150 = 0 | all_125_6_156 = sz00 % 71.61/29.49 | (343) iLess0(all_125_1_151, all_37_2_79) = all_125_0_150 % 71.61/29.49 | % 71.61/29.49 +-Applying beta-rule and splitting (213), into two cases. % 71.61/29.49 |-Branch one: % 71.61/29.49 | (344) all_145_2_184 = all_0_3_3 & all_145_4_186 = 0 & all_145_5_187 = 0 & iLess0(all_145_1_183, all_37_2_79) = all_145_0_182 & sbrdtbr0(all_145_6_188) = all_145_1_183 & sdtasdt0(all_145_7_189, all_0_0_0) = all_145_3_185 & sdtpldt0(all_145_3_185, all_145_6_188) = all_0_3_3 & aElement0(all_145_6_188) = 0 & aElement0(all_145_7_189) = 0 & (all_145_0_182 = 0 | all_145_6_188 = sz00) % 71.61/29.49 | % 71.61/29.49 | Applying alpha-rule on (344) yields: % 71.61/29.49 | (345) all_145_2_184 = all_0_3_3 % 71.61/29.49 | (346) aElement0(all_145_6_188) = 0 % 71.61/29.49 | (347) all_145_4_186 = 0 % 71.61/29.49 | (348) all_145_0_182 = 0 | all_145_6_188 = sz00 % 71.61/29.49 | (349) sdtasdt0(all_145_7_189, all_0_0_0) = all_145_3_185 % 71.61/29.49 | (350) all_145_5_187 = 0 % 71.61/29.49 | (351) iLess0(all_145_1_183, all_37_2_79) = all_145_0_182 % 71.61/29.49 | (352) sdtpldt0(all_145_3_185, all_145_6_188) = all_0_3_3 % 71.61/29.49 | (353) aElement0(all_145_7_189) = 0 % 71.61/29.49 | (354) sbrdtbr0(all_145_6_188) = all_145_1_183 % 71.61/29.49 | % 71.61/29.49 +-Applying beta-rule and splitting (255), into two cases. % 71.61/29.49 |-Branch one: % 71.61/29.49 | (355) all_182_2_223 = xa & all_182_4_225 = 0 & all_182_5_226 = 0 & iLess0(all_182_1_222, all_37_2_79) = all_182_0_221 & sbrdtbr0(all_182_6_227) = all_182_1_222 & sdtasdt0(all_182_7_228, all_0_0_0) = all_182_3_224 & sdtpldt0(all_182_3_224, all_182_6_227) = xa & aElement0(all_182_6_227) = 0 & aElement0(all_182_7_228) = 0 & (all_182_0_221 = 0 | all_182_6_227 = sz00) % 71.61/29.49 | % 71.61/29.49 | Applying alpha-rule on (355) yields: % 71.61/29.49 | (356) sdtpldt0(all_182_3_224, all_182_6_227) = xa % 71.61/29.49 | (357) all_182_2_223 = xa % 71.61/29.49 | (358) aElement0(all_182_6_227) = 0 % 71.61/29.49 | (359) sdtasdt0(all_182_7_228, all_0_0_0) = all_182_3_224 % 71.61/29.49 | (360) sbrdtbr0(all_182_6_227) = all_182_1_222 % 71.61/29.49 | (361) iLess0(all_182_1_222, all_37_2_79) = all_182_0_221 % 71.61/29.49 | (362) all_182_4_225 = 0 % 71.61/29.49 | (363) all_182_5_226 = 0 % 71.61/29.49 | (364) all_182_0_221 = 0 | all_182_6_227 = sz00 % 71.61/29.49 | (365) aElement0(all_182_7_228) = 0 % 71.61/29.49 | % 71.61/29.49 +-Applying beta-rule and splitting (203), into two cases. % 71.61/29.49 |-Branch one: % 71.61/29.49 | (366) all_137_2_168 = all_0_3_3 & all_137_4_170 = 0 & all_137_5_171 = 0 & iLess0(all_137_1_167, all_37_0_77) = all_137_0_166 & sbrdtbr0(all_137_6_172) = all_137_1_167 & sdtasdt0(all_137_7_173, all_37_1_78) = all_137_3_169 & sdtpldt0(all_137_3_169, all_137_6_172) = all_0_3_3 & aElement0(all_137_6_172) = 0 & aElement0(all_137_7_173) = 0 & (all_137_0_166 = 0 | all_137_6_172 = sz00) % 71.61/29.49 | % 71.61/29.49 | Applying alpha-rule on (366) yields: % 71.61/29.49 | (367) sdtasdt0(all_137_7_173, all_37_1_78) = all_137_3_169 % 71.61/29.49 | (368) all_137_4_170 = 0 % 71.61/29.49 | (369) iLess0(all_137_1_167, all_37_0_77) = all_137_0_166 % 71.61/29.49 | (370) aElement0(all_137_7_173) = 0 % 71.61/29.49 | (371) all_137_2_168 = all_0_3_3 % 71.61/29.49 | (372) sbrdtbr0(all_137_6_172) = all_137_1_167 % 71.61/29.49 | (373) aElement0(all_137_6_172) = 0 % 71.61/29.49 | (374) sdtpldt0(all_137_3_169, all_137_6_172) = all_0_3_3 % 71.61/29.49 | (375) all_137_0_166 = 0 | all_137_6_172 = sz00 % 71.61/29.49 | (376) all_137_5_171 = 0 % 71.61/29.49 | % 71.61/29.49 +-Applying beta-rule and splitting (198), into two cases. % 71.61/29.49 |-Branch one: % 71.61/29.49 | (377) all_133_2_160 = sz00 & all_133_4_162 = 0 & all_133_5_163 = 0 & iLess0(all_133_1_159, all_37_0_77) = all_133_0_158 & sbrdtbr0(all_133_6_164) = all_133_1_159 & sdtasdt0(all_133_7_165, all_37_1_78) = all_133_3_161 & sdtpldt0(all_133_3_161, all_133_6_164) = sz00 & aElement0(all_133_6_164) = 0 & aElement0(all_133_7_165) = 0 & (all_133_0_158 = 0 | all_133_6_164 = sz00) % 71.61/29.49 | % 71.61/29.49 | Applying alpha-rule on (377) yields: % 71.61/29.49 | (378) iLess0(all_133_1_159, all_37_0_77) = all_133_0_158 % 71.61/29.49 | (379) all_133_2_160 = sz00 % 71.61/29.49 | (380) sdtasdt0(all_133_7_165, all_37_1_78) = all_133_3_161 % 71.61/29.49 | (381) all_133_0_158 = 0 | all_133_6_164 = sz00 % 71.61/29.49 | (382) all_133_4_162 = 0 % 71.61/29.49 | (383) aElement0(all_133_7_165) = 0 % 71.61/29.49 | (384) aElement0(all_133_6_164) = 0 % 71.61/29.49 | (385) all_133_5_163 = 0 % 71.61/29.49 | (386) sbrdtbr0(all_133_6_164) = all_133_1_159 % 71.61/29.49 | (387) sdtpldt0(all_133_3_161, all_133_6_164) = sz00 % 71.61/29.49 | % 71.61/29.49 +-Applying beta-rule and splitting (270), into two cases. % 71.61/29.49 |-Branch one: % 71.61/29.49 | (388) all_195_2_247 = sz10 & all_195_4_249 = 0 & all_195_5_250 = 0 & iLess0(all_195_1_246, all_42_0_80) = all_195_0_245 & sbrdtbr0(all_195_6_251) = all_195_1_246 & sdtasdt0(all_195_7_252, all_42_1_81) = all_195_3_248 & sdtpldt0(all_195_3_248, all_195_6_251) = sz10 & aElement0(all_195_6_251) = 0 & aElement0(all_195_7_252) = 0 & (all_195_0_245 = 0 | all_195_6_251 = sz00) % 71.61/29.49 | % 71.61/29.49 | Applying alpha-rule on (388) yields: % 71.61/29.49 | (389) sbrdtbr0(all_195_6_251) = all_195_1_246 % 71.61/29.49 | (390) all_195_0_245 = 0 | all_195_6_251 = sz00 % 71.61/29.49 | (391) aElement0(all_195_7_252) = 0 % 71.61/29.49 | (392) aElement0(all_195_6_251) = 0 % 71.61/29.49 | (393) all_195_5_250 = 0 % 71.61/29.49 | (394) all_195_4_249 = 0 % 71.61/29.49 | (395) sdtasdt0(all_195_7_252, all_42_1_81) = all_195_3_248 % 71.61/29.49 | (396) all_195_2_247 = sz10 % 71.61/29.49 | (397) sdtpldt0(all_195_3_248, all_195_6_251) = sz10 % 71.61/29.49 | (398) iLess0(all_195_1_246, all_42_0_80) = all_195_0_245 % 71.61/29.49 | % 71.61/29.49 +-Applying beta-rule and splitting (230), into two cases. % 71.61/29.49 |-Branch one: % 71.61/29.49 | (399) all_161_2_196 = xb & all_161_4_198 = 0 & all_161_5_199 = 0 & iLess0(all_161_1_195, all_37_0_77) = all_161_0_194 & sbrdtbr0(all_161_6_200) = all_161_1_195 & sdtasdt0(all_161_7_201, all_37_1_78) = all_161_3_197 & sdtpldt0(all_161_3_197, all_161_6_200) = xb & aElement0(all_161_6_200) = 0 & aElement0(all_161_7_201) = 0 & (all_161_0_194 = 0 | all_161_6_200 = sz00) % 71.61/29.49 | % 71.61/29.49 | Applying alpha-rule on (399) yields: % 71.61/29.49 | (400) aElement0(all_161_7_201) = 0 % 71.61/29.49 | (401) sdtpldt0(all_161_3_197, all_161_6_200) = xb % 71.61/29.49 | (402) all_161_0_194 = 0 | all_161_6_200 = sz00 % 71.61/29.49 | (403) all_161_5_199 = 0 % 71.61/29.50 | (404) aElement0(all_161_6_200) = 0 % 71.61/29.50 | (405) all_161_2_196 = xb % 71.61/29.50 | (406) all_161_4_198 = 0 % 71.61/29.50 | (407) iLess0(all_161_1_195, all_37_0_77) = all_161_0_194 % 71.61/29.50 | (408) sbrdtbr0(all_161_6_200) = all_161_1_195 % 71.61/29.50 | (409) sdtasdt0(all_161_7_201, all_37_1_78) = all_161_3_197 % 71.61/29.50 | % 71.61/29.50 +-Applying beta-rule and splitting (260), into two cases. % 71.61/29.50 |-Branch one: % 71.61/29.50 | (410) all_187_2_231 = xb & all_187_4_233 = 0 & all_187_5_234 = 0 & iLess0(all_187_1_230, all_42_0_80) = all_187_0_229 & sbrdtbr0(all_187_6_235) = all_187_1_230 & sdtasdt0(all_187_7_236, all_42_1_81) = all_187_3_232 & sdtpldt0(all_187_3_232, all_187_6_235) = xb & aElement0(all_187_6_235) = 0 & aElement0(all_187_7_236) = 0 & (all_187_0_229 = 0 | all_187_6_235 = sz00) % 71.61/29.50 | % 71.61/29.50 | Applying alpha-rule on (410) yields: % 71.61/29.50 | (411) all_187_5_234 = 0 % 71.61/29.50 | (412) all_187_0_229 = 0 | all_187_6_235 = sz00 % 71.61/29.50 | (413) all_187_4_233 = 0 % 71.61/29.50 | (414) sdtpldt0(all_187_3_232, all_187_6_235) = xb % 71.61/29.50 | (415) aElement0(all_187_7_236) = 0 % 71.61/29.50 | (416) sbrdtbr0(all_187_6_235) = all_187_1_230 % 71.61/29.50 | (417) iLess0(all_187_1_230, all_42_0_80) = all_187_0_229 % 71.61/29.50 | (418) aElement0(all_187_6_235) = 0 % 71.61/29.50 | (419) all_187_2_231 = xb % 71.61/29.50 | (420) sdtasdt0(all_187_7_236, all_42_1_81) = all_187_3_232 % 71.61/29.50 | % 71.61/29.50 +-Applying beta-rule and splitting (235), into two cases. % 71.61/29.50 |-Branch one: % 71.61/29.50 | (421) all_165_2_204 = sz10 & all_165_4_206 = 0 & all_165_5_207 = 0 & iLess0(all_165_1_203, all_37_0_77) = all_165_0_202 & sbrdtbr0(all_165_6_208) = all_165_1_203 & sdtasdt0(all_165_7_209, all_37_1_78) = all_165_3_205 & sdtpldt0(all_165_3_205, all_165_6_208) = sz10 & aElement0(all_165_6_208) = 0 & aElement0(all_165_7_209) = 0 & (all_165_0_202 = 0 | all_165_6_208 = sz00) % 71.61/29.50 | % 71.61/29.50 | Applying alpha-rule on (421) yields: % 71.61/29.50 | (422) sdtasdt0(all_165_7_209, all_37_1_78) = all_165_3_205 % 71.61/29.50 | (423) all_165_2_204 = sz10 % 71.61/29.50 | (424) iLess0(all_165_1_203, all_37_0_77) = all_165_0_202 % 71.61/29.50 | (425) sdtpldt0(all_165_3_205, all_165_6_208) = sz10 % 71.61/29.50 | (426) all_165_5_207 = 0 % 71.61/29.50 | (427) aElement0(all_165_7_209) = 0 % 71.61/29.50 | (428) all_165_0_202 = 0 | all_165_6_208 = sz00 % 71.61/29.50 | (429) all_165_4_206 = 0 % 71.61/29.50 | (430) sbrdtbr0(all_165_6_208) = all_165_1_203 % 71.61/29.50 | (431) aElement0(all_165_6_208) = 0 % 71.61/29.50 | % 71.61/29.50 +-Applying beta-rule and splitting (275), into two cases. % 71.61/29.50 |-Branch one: % 71.61/29.50 | (432) all_199_2_255 = sz00 & all_199_4_257 = 0 & all_199_5_258 = 0 & iLess0(all_199_1_254, all_42_0_80) = all_199_0_253 & sbrdtbr0(all_199_6_259) = all_199_1_254 & sdtasdt0(all_199_7_260, all_42_1_81) = all_199_3_256 & sdtpldt0(all_199_3_256, all_199_6_259) = sz00 & aElement0(all_199_6_259) = 0 & aElement0(all_199_7_260) = 0 & (all_199_0_253 = 0 | all_199_6_259 = sz00) % 71.61/29.50 | % 71.61/29.50 | Applying alpha-rule on (432) yields: % 71.61/29.50 | (433) all_199_5_258 = 0 % 71.61/29.50 | (434) all_199_2_255 = sz00 % 71.61/29.50 | (435) aElement0(all_199_7_260) = 0 % 71.61/29.50 | (436) all_199_0_253 = 0 | all_199_6_259 = sz00 % 71.61/29.50 | (437) aElement0(all_199_6_259) = 0 % 71.61/29.50 | (438) iLess0(all_199_1_254, all_42_0_80) = all_199_0_253 % 71.61/29.50 | (439) sdtasdt0(all_199_7_260, all_42_1_81) = all_199_3_256 % 71.61/29.50 | (440) sdtpldt0(all_199_3_256, all_199_6_259) = sz00 % 71.61/29.50 | (441) sbrdtbr0(all_199_6_259) = all_199_1_254 % 71.61/29.50 | (442) all_199_4_257 = 0 % 71.61/29.50 | % 71.61/29.50 +-Applying beta-rule and splitting (280), into two cases. % 71.61/29.50 |-Branch one: % 71.61/29.50 | (443) all_203_2_263 = xa & all_203_4_265 = 0 & all_203_5_266 = 0 & iLess0(all_203_1_262, all_37_0_77) = all_203_0_261 & sbrdtbr0(all_203_6_267) = all_203_1_262 & sdtasdt0(all_203_7_268, all_37_1_78) = all_203_3_264 & sdtpldt0(all_203_3_264, all_203_6_267) = xa & aElement0(all_203_6_267) = 0 & aElement0(all_203_7_268) = 0 & (all_203_0_261 = 0 | all_203_6_267 = sz00) % 71.61/29.50 | % 71.61/29.50 | Applying alpha-rule on (443) yields: % 71.61/29.50 | (444) iLess0(all_203_1_262, all_37_0_77) = all_203_0_261 % 71.61/29.50 | (445) all_203_2_263 = xa % 71.61/29.50 | (446) sdtasdt0(all_203_7_268, all_37_1_78) = all_203_3_264 % 71.61/29.50 | (447) aElement0(all_203_7_268) = 0 % 71.61/29.50 | (448) sdtpldt0(all_203_3_264, all_203_6_267) = xa % 71.61/29.50 | (449) all_203_0_261 = 0 | all_203_6_267 = sz00 % 71.61/29.50 | (450) aElement0(all_203_6_267) = 0 % 71.61/29.50 | (451) sbrdtbr0(all_203_6_267) = all_203_1_262 % 71.61/29.50 | (452) all_203_4_265 = 0 % 71.61/29.50 | (453) all_203_5_266 = 0 % 71.61/29.50 | % 71.61/29.50 | Instantiating formula (123) with all_173_0_218, all_173_1_219 and discharging atoms iLess0(all_173_0_218, all_42_0_80) = 0, sbrdtbr0(all_173_1_219) = all_173_0_218, yields: % 71.61/29.50 | (454) all_173_1_219 = sz00 | ? [v0] : ( ~ (v0 = 0) & aElementOf0(all_173_1_219, xI) = v0) % 71.61/29.50 | % 71.61/29.50 | Instantiating formula (71) with all_173_0_218, all_173_1_219 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, yields: % 71.61/29.50 | (455) all_173_1_219 = sz00 | ? [v0] : ? [v1] : (aNaturalNumber0(all_173_0_218) = v1 & aElement0(all_173_1_219) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 71.61/29.50 | % 71.61/29.50 | Instantiating formula (10) with all_173_1_219 and discharging atoms aElementOf0(all_173_1_219, xI) = 0, yields: % 71.61/29.50 | (456) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v1 = sz00) & iLess0(v2, v0) = 0 & sbrdtbr0(v1) = v2 & sbrdtbr0(all_173_1_219) = v0 & aElementOf0(v1, xI) = 0) % 71.61/29.50 | % 71.61/29.50 | Instantiating formula (13) with all_173_1_219 and discharging atoms aElementOf0(all_173_1_219, xI) = 0, yields: % 71.61/29.50 | (457) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ( ~ (v0 = sz00) & sbrdtbr0(v0) = v1 & aElementOf0(v0, xI) = 0 & ! [v2] : ! [v3] : (v2 = sz00 | ~ (iLess0(v3, v1) = 0) | ~ (sbrdtbr0(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & aElementOf0(v2, xI) = v4))) % 71.61/29.50 | % 71.61/29.50 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_203_6_267 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_203_6_267) = 0, yields: % 71.61/29.50 | (458) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_203_6_267 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_203_6_267 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 71.61/29.50 | % 71.61/29.50 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_203_7_268 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_203_7_268) = 0, yields: % 71.61/29.50 | (459) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_203_7_268 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_203_7_268 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 71.61/29.50 | % 71.61/29.50 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_199_6_259 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_199_6_259) = 0, yields: % 71.61/29.50 | (460) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_199_6_259 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_199_6_259 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 71.61/29.50 | % 71.61/29.50 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_199_7_260 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_199_7_260) = 0, yields: % 71.61/29.50 | (461) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_199_7_260 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_199_7_260 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 71.61/29.50 | % 71.61/29.50 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_195_6_251 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_195_6_251) = 0, yields: % 71.61/29.50 | (462) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_195_6_251 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_195_6_251 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 71.61/29.50 | % 71.61/29.50 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_195_7_252 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_195_7_252) = 0, yields: % 71.61/29.50 | (463) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_195_7_252 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_195_7_252 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 71.61/29.50 | % 71.61/29.50 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_191_6_243 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_191_6_243) = 0, yields: % 71.61/29.50 | (464) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_191_6_243 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_191_6_243 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 71.61/29.51 | % 71.61/29.51 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_191_7_244 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_191_7_244) = 0, yields: % 71.61/29.51 | (465) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_191_7_244 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_191_7_244 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 71.61/29.51 | % 71.61/29.51 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_187_6_235 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_187_6_235) = 0, yields: % 71.61/29.51 | (466) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_187_6_235 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_187_6_235 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 71.61/29.51 | % 71.61/29.51 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_187_7_236 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_187_7_236) = 0, yields: % 71.61/29.51 | (467) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_187_7_236 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_187_7_236 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.51 | % 72.06/29.51 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_182_6_227 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_182_6_227) = 0, yields: % 72.06/29.51 | (468) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_182_6_227 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_182_6_227 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.51 | % 72.06/29.51 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_182_7_228 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_182_7_228) = 0, yields: % 72.06/29.51 | (469) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_182_7_228 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_182_7_228 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.51 | % 72.06/29.51 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_169_6_216 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_169_6_216) = 0, yields: % 72.06/29.51 | (470) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_169_6_216 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_169_6_216 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.51 | % 72.06/29.51 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_169_7_217 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_169_7_217) = 0, yields: % 72.06/29.51 | (471) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_169_7_217 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_169_7_217 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.51 | % 72.06/29.51 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_165_6_208 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_165_6_208) = 0, yields: % 72.06/29.51 | (472) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_165_6_208 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_165_6_208 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.51 | % 72.06/29.51 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_165_7_209 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_165_7_209) = 0, yields: % 72.06/29.51 | (473) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_165_7_209 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_165_7_209 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.51 | % 72.06/29.51 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_161_6_200 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_161_6_200) = 0, yields: % 72.06/29.51 | (474) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_161_6_200 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_161_6_200 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.51 | % 72.06/29.51 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_161_7_201 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_161_7_201) = 0, yields: % 72.06/29.51 | (475) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_161_7_201 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_161_7_201 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.51 | % 72.06/29.51 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_145_6_188 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_145_6_188) = 0, yields: % 72.06/29.51 | (476) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_145_6_188 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_145_6_188 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.51 | % 72.06/29.51 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_145_7_189 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_145_7_189) = 0, yields: % 72.06/29.51 | (477) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_145_7_189 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_145_7_189 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.51 | % 72.06/29.51 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_141_6_180 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_141_6_180) = 0, yields: % 72.06/29.51 | (478) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_141_6_180 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_141_6_180 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.51 | % 72.06/29.51 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_141_7_181 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_141_7_181) = 0, yields: % 72.06/29.51 | (479) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_141_7_181 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_141_7_181 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.51 | % 72.06/29.51 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_137_6_172 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_137_6_172) = 0, yields: % 72.06/29.51 | (480) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_137_6_172 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_137_6_172 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.51 | % 72.06/29.51 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_137_7_173 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_137_7_173) = 0, yields: % 72.06/29.51 | (481) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_137_7_173 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_137_7_173 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.51 | % 72.06/29.51 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_133_6_164 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_133_6_164) = 0, yields: % 72.06/29.51 | (482) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_133_6_164 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_133_6_164 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.51 | % 72.06/29.51 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_133_7_165 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_133_7_165) = 0, yields: % 72.06/29.51 | (483) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_133_7_165 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_133_7_165 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.52 | % 72.06/29.52 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_125_6_156 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_125_6_156) = 0, yields: % 72.06/29.52 | (484) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_125_6_156 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_125_6_156 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.52 | % 72.06/29.52 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_125_7_157 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_125_7_157) = 0, yields: % 72.06/29.52 | (485) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_125_7_157 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_125_7_157 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.52 | % 72.06/29.52 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_121_7_149 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_121_7_149) = 0, yields: % 72.06/29.52 | (486) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_121_7_149 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_121_7_149 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.52 | % 72.06/29.52 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_42_1_81 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_42_1_81) = 0, yields: % 72.06/29.52 | (487) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_42_1_81 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_42_1_81 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.52 | % 72.06/29.52 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_37_1_78 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_37_1_78) = 0, yields: % 72.06/29.52 | (488) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_37_1_78 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_37_1_78 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.52 | % 72.06/29.52 | Instantiating formula (36) with all_173_0_218, all_173_1_219, all_0_0_0 and discharging atoms sbrdtbr0(all_173_1_219) = all_173_0_218, aElement0(all_0_0_0) = 0, yields: % 72.06/29.52 | (489) all_173_1_219 = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_0_0_0 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_0_0_0 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.52 | % 72.06/29.52 +-Applying beta-rule and splitting (470), into two cases. % 72.06/29.52 |-Branch one: % 72.06/29.52 | (490) all_173_1_219 = sz00 % 72.06/29.52 | % 72.06/29.52 | Equations (490) can reduce 247 to: % 72.06/29.52 | (106) $false % 72.06/29.52 | % 72.06/29.52 |-The branch is then unsatisfiable % 72.06/29.52 |-Branch two: % 72.06/29.52 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.52 | (493) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_169_6_216 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_169_6_216 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.52 | % 72.06/29.52 +-Applying beta-rule and splitting (482), into two cases. % 72.06/29.52 |-Branch one: % 72.06/29.52 | (490) all_173_1_219 = sz00 % 72.06/29.52 | % 72.06/29.52 | Equations (490) can reduce 247 to: % 72.06/29.52 | (106) $false % 72.06/29.52 | % 72.06/29.52 |-The branch is then unsatisfiable % 72.06/29.52 |-Branch two: % 72.06/29.52 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.52 | (497) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_133_6_164 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_133_6_164 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.52 | % 72.06/29.52 +-Applying beta-rule and splitting (472), into two cases. % 72.06/29.52 |-Branch one: % 72.06/29.52 | (490) all_173_1_219 = sz00 % 72.06/29.52 | % 72.06/29.52 | Equations (490) can reduce 247 to: % 72.06/29.52 | (106) $false % 72.06/29.52 | % 72.06/29.52 |-The branch is then unsatisfiable % 72.06/29.52 |-Branch two: % 72.06/29.52 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.52 | (501) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_165_6_208 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_165_6_208 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.52 | % 72.06/29.52 +-Applying beta-rule and splitting (471), into two cases. % 72.06/29.52 |-Branch one: % 72.06/29.52 | (490) all_173_1_219 = sz00 % 72.06/29.52 | % 72.06/29.52 | Equations (490) can reduce 247 to: % 72.06/29.52 | (106) $false % 72.06/29.52 | % 72.06/29.52 |-The branch is then unsatisfiable % 72.06/29.52 |-Branch two: % 72.06/29.52 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.52 | (505) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_169_7_217 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_169_7_217 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.52 | % 72.06/29.52 +-Applying beta-rule and splitting (479), into two cases. % 72.06/29.52 |-Branch one: % 72.06/29.52 | (490) all_173_1_219 = sz00 % 72.06/29.52 | % 72.06/29.52 | Equations (490) can reduce 247 to: % 72.06/29.52 | (106) $false % 72.06/29.52 | % 72.06/29.52 |-The branch is then unsatisfiable % 72.06/29.52 |-Branch two: % 72.06/29.52 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.52 | (509) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_141_7_181 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_141_7_181 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.52 | % 72.06/29.52 +-Applying beta-rule and splitting (481), into two cases. % 72.06/29.52 |-Branch one: % 72.06/29.52 | (490) all_173_1_219 = sz00 % 72.06/29.52 | % 72.06/29.52 | Equations (490) can reduce 247 to: % 72.06/29.52 | (106) $false % 72.06/29.52 | % 72.06/29.52 |-The branch is then unsatisfiable % 72.06/29.52 |-Branch two: % 72.06/29.52 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.52 | (513) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_137_7_173 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_137_7_173 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.52 | % 72.06/29.52 +-Applying beta-rule and splitting (488), into two cases. % 72.06/29.52 |-Branch one: % 72.06/29.52 | (490) all_173_1_219 = sz00 % 72.06/29.52 | % 72.06/29.52 | Equations (490) can reduce 247 to: % 72.06/29.52 | (106) $false % 72.06/29.52 | % 72.06/29.52 |-The branch is then unsatisfiable % 72.06/29.52 |-Branch two: % 72.06/29.52 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.52 | (517) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_37_1_78 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_37_1_78 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.52 | % 72.06/29.52 +-Applying beta-rule and splitting (469), into two cases. % 72.06/29.52 |-Branch one: % 72.06/29.52 | (490) all_173_1_219 = sz00 % 72.06/29.52 | % 72.06/29.52 | Equations (490) can reduce 247 to: % 72.06/29.52 | (106) $false % 72.06/29.52 | % 72.06/29.52 |-The branch is then unsatisfiable % 72.06/29.52 |-Branch two: % 72.06/29.52 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.52 | (521) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_182_7_228 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_182_7_228 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.52 | % 72.06/29.52 +-Applying beta-rule and splitting (458), into two cases. % 72.06/29.52 |-Branch one: % 72.06/29.52 | (490) all_173_1_219 = sz00 % 72.06/29.52 | % 72.06/29.52 | Equations (490) can reduce 247 to: % 72.06/29.52 | (106) $false % 72.06/29.52 | % 72.06/29.52 |-The branch is then unsatisfiable % 72.06/29.52 |-Branch two: % 72.06/29.52 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.52 | (525) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_203_6_267 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_203_6_267 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.52 | % 72.06/29.52 +-Applying beta-rule and splitting (468), into two cases. % 72.06/29.52 |-Branch one: % 72.06/29.52 | (490) all_173_1_219 = sz00 % 72.06/29.52 | % 72.06/29.52 | Equations (490) can reduce 247 to: % 72.06/29.52 | (106) $false % 72.06/29.52 | % 72.06/29.52 |-The branch is then unsatisfiable % 72.06/29.52 |-Branch two: % 72.06/29.52 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.52 | (529) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_182_6_227 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_182_6_227 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.52 | % 72.06/29.52 +-Applying beta-rule and splitting (473), into two cases. % 72.06/29.52 |-Branch one: % 72.06/29.52 | (490) all_173_1_219 = sz00 % 72.06/29.52 | % 72.06/29.52 | Equations (490) can reduce 247 to: % 72.06/29.52 | (106) $false % 72.06/29.52 | % 72.06/29.52 |-The branch is then unsatisfiable % 72.06/29.52 |-Branch two: % 72.06/29.52 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.52 | (533) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_165_7_209 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_165_7_209 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.52 | % 72.06/29.52 +-Applying beta-rule and splitting (484), into two cases. % 72.06/29.52 |-Branch one: % 72.06/29.52 | (490) all_173_1_219 = sz00 % 72.06/29.52 | % 72.06/29.52 | Equations (490) can reduce 247 to: % 72.06/29.52 | (106) $false % 72.06/29.52 | % 72.06/29.52 |-The branch is then unsatisfiable % 72.06/29.52 |-Branch two: % 72.06/29.52 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.52 | (537) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_125_6_156 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_125_6_156 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.53 | % 72.06/29.53 +-Applying beta-rule and splitting (476), into two cases. % 72.06/29.53 |-Branch one: % 72.06/29.53 | (490) all_173_1_219 = sz00 % 72.06/29.53 | % 72.06/29.53 | Equations (490) can reduce 247 to: % 72.06/29.53 | (106) $false % 72.06/29.53 | % 72.06/29.53 |-The branch is then unsatisfiable % 72.06/29.53 |-Branch two: % 72.06/29.53 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.53 | (541) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_145_6_188 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_145_6_188 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.53 | % 72.06/29.53 +-Applying beta-rule and splitting (461), into two cases. % 72.06/29.53 |-Branch one: % 72.06/29.53 | (490) all_173_1_219 = sz00 % 72.06/29.53 | % 72.06/29.53 | Equations (490) can reduce 247 to: % 72.06/29.53 | (106) $false % 72.06/29.53 | % 72.06/29.53 |-The branch is then unsatisfiable % 72.06/29.53 |-Branch two: % 72.06/29.53 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.53 | (545) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_199_7_260 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_199_7_260 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.53 | % 72.06/29.53 +-Applying beta-rule and splitting (486), into two cases. % 72.06/29.53 |-Branch one: % 72.06/29.53 | (490) all_173_1_219 = sz00 % 72.06/29.53 | % 72.06/29.53 | Equations (490) can reduce 247 to: % 72.06/29.53 | (106) $false % 72.06/29.53 | % 72.06/29.53 |-The branch is then unsatisfiable % 72.06/29.53 |-Branch two: % 72.06/29.53 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.53 | (549) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_121_7_149 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_121_7_149 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.53 | % 72.06/29.53 +-Applying beta-rule and splitting (480), into two cases. % 72.06/29.53 |-Branch one: % 72.06/29.53 | (490) all_173_1_219 = sz00 % 72.06/29.53 | % 72.06/29.53 | Equations (490) can reduce 247 to: % 72.06/29.53 | (106) $false % 72.06/29.53 | % 72.06/29.53 |-The branch is then unsatisfiable % 72.06/29.53 |-Branch two: % 72.06/29.53 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.53 | (553) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_137_6_172 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_137_6_172 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.53 | % 72.06/29.53 +-Applying beta-rule and splitting (483), into two cases. % 72.06/29.53 |-Branch one: % 72.06/29.53 | (490) all_173_1_219 = sz00 % 72.06/29.53 | % 72.06/29.53 | Equations (490) can reduce 247 to: % 72.06/29.53 | (106) $false % 72.06/29.53 | % 72.06/29.53 |-The branch is then unsatisfiable % 72.06/29.53 |-Branch two: % 72.06/29.53 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.53 | (557) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_133_7_165 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_133_7_165 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.53 | % 72.06/29.53 +-Applying beta-rule and splitting (474), into two cases. % 72.06/29.53 |-Branch one: % 72.06/29.53 | (490) all_173_1_219 = sz00 % 72.06/29.53 | % 72.06/29.53 | Equations (490) can reduce 247 to: % 72.06/29.53 | (106) $false % 72.06/29.53 | % 72.06/29.53 |-The branch is then unsatisfiable % 72.06/29.53 |-Branch two: % 72.06/29.53 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.53 | (561) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_161_6_200 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_161_6_200 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.53 | % 72.06/29.53 +-Applying beta-rule and splitting (475), into two cases. % 72.06/29.53 |-Branch one: % 72.06/29.53 | (490) all_173_1_219 = sz00 % 72.06/29.53 | % 72.06/29.53 | Equations (490) can reduce 247 to: % 72.06/29.53 | (106) $false % 72.06/29.53 | % 72.06/29.53 |-The branch is then unsatisfiable % 72.06/29.53 |-Branch two: % 72.06/29.53 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.53 | (565) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_161_7_201 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_161_7_201 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.53 | % 72.06/29.53 +-Applying beta-rule and splitting (487), into two cases. % 72.06/29.53 |-Branch one: % 72.06/29.53 | (490) all_173_1_219 = sz00 % 72.06/29.53 | % 72.06/29.53 | Equations (490) can reduce 247 to: % 72.06/29.53 | (106) $false % 72.06/29.53 | % 72.06/29.53 |-The branch is then unsatisfiable % 72.06/29.53 |-Branch two: % 72.06/29.53 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.53 | (569) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_42_1_81 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_42_1_81 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.53 | % 72.06/29.53 +-Applying beta-rule and splitting (466), into two cases. % 72.06/29.53 |-Branch one: % 72.06/29.53 | (490) all_173_1_219 = sz00 % 72.06/29.53 | % 72.06/29.53 | Equations (490) can reduce 247 to: % 72.06/29.53 | (106) $false % 72.06/29.53 | % 72.06/29.53 |-The branch is then unsatisfiable % 72.06/29.53 |-Branch two: % 72.06/29.53 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.53 | (573) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_187_6_235 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_187_6_235 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.53 | % 72.06/29.53 +-Applying beta-rule and splitting (467), into two cases. % 72.06/29.53 |-Branch one: % 72.06/29.53 | (490) all_173_1_219 = sz00 % 72.06/29.53 | % 72.06/29.53 | Equations (490) can reduce 247 to: % 72.06/29.53 | (106) $false % 72.06/29.53 | % 72.06/29.53 |-The branch is then unsatisfiable % 72.06/29.53 |-Branch two: % 72.06/29.53 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.53 | (577) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_187_7_236 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_187_7_236 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.53 | % 72.06/29.53 +-Applying beta-rule and splitting (460), into two cases. % 72.06/29.53 |-Branch one: % 72.06/29.53 | (490) all_173_1_219 = sz00 % 72.06/29.53 | % 72.06/29.53 | Equations (490) can reduce 247 to: % 72.06/29.53 | (106) $false % 72.06/29.53 | % 72.06/29.53 |-The branch is then unsatisfiable % 72.06/29.53 |-Branch two: % 72.06/29.53 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.53 | (581) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_199_6_259 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_199_6_259 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.53 | % 72.06/29.53 +-Applying beta-rule and splitting (477), into two cases. % 72.06/29.53 |-Branch one: % 72.06/29.53 | (490) all_173_1_219 = sz00 % 72.06/29.53 | % 72.06/29.53 | Equations (490) can reduce 247 to: % 72.06/29.53 | (106) $false % 72.06/29.53 | % 72.06/29.53 |-The branch is then unsatisfiable % 72.06/29.53 |-Branch two: % 72.06/29.53 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.53 | (585) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_145_7_189 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_145_7_189 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.53 | % 72.06/29.53 +-Applying beta-rule and splitting (478), into two cases. % 72.06/29.53 |-Branch one: % 72.06/29.53 | (490) all_173_1_219 = sz00 % 72.06/29.53 | % 72.06/29.53 | Equations (490) can reduce 247 to: % 72.06/29.53 | (106) $false % 72.06/29.53 | % 72.06/29.53 |-The branch is then unsatisfiable % 72.06/29.53 |-Branch two: % 72.06/29.53 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.53 | (589) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_141_6_180 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_141_6_180 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.53 | % 72.06/29.53 +-Applying beta-rule and splitting (459), into two cases. % 72.06/29.53 |-Branch one: % 72.06/29.53 | (490) all_173_1_219 = sz00 % 72.06/29.53 | % 72.06/29.53 | Equations (490) can reduce 247 to: % 72.06/29.53 | (106) $false % 72.06/29.53 | % 72.06/29.53 |-The branch is then unsatisfiable % 72.06/29.53 |-Branch two: % 72.06/29.53 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.53 | (593) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_203_7_268 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_203_7_268 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.53 | % 72.06/29.53 +-Applying beta-rule and splitting (463), into two cases. % 72.06/29.53 |-Branch one: % 72.06/29.53 | (490) all_173_1_219 = sz00 % 72.06/29.53 | % 72.06/29.53 | Equations (490) can reduce 247 to: % 72.06/29.53 | (106) $false % 72.06/29.53 | % 72.06/29.53 |-The branch is then unsatisfiable % 72.06/29.53 |-Branch two: % 72.06/29.53 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.53 | (597) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_195_7_252 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_195_7_252 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.53 | % 72.06/29.53 +-Applying beta-rule and splitting (462), into two cases. % 72.06/29.53 |-Branch one: % 72.06/29.53 | (490) all_173_1_219 = sz00 % 72.06/29.53 | % 72.06/29.53 | Equations (490) can reduce 247 to: % 72.06/29.53 | (106) $false % 72.06/29.53 | % 72.06/29.53 |-The branch is then unsatisfiable % 72.06/29.53 |-Branch two: % 72.06/29.53 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.53 | (601) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_195_6_251 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_195_6_251 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.53 | % 72.06/29.53 +-Applying beta-rule and splitting (465), into two cases. % 72.06/29.53 |-Branch one: % 72.06/29.53 | (490) all_173_1_219 = sz00 % 72.06/29.53 | % 72.06/29.53 | Equations (490) can reduce 247 to: % 72.06/29.53 | (106) $false % 72.06/29.53 | % 72.06/29.53 |-The branch is then unsatisfiable % 72.06/29.53 |-Branch two: % 72.06/29.53 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.53 | (605) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_191_7_244 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_191_7_244 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.53 | % 72.06/29.53 +-Applying beta-rule and splitting (456), into two cases. % 72.06/29.53 |-Branch one: % 72.06/29.53 | (490) all_173_1_219 = sz00 % 72.06/29.53 | % 72.06/29.53 | Equations (490) can reduce 247 to: % 72.06/29.53 | (106) $false % 72.06/29.53 | % 72.06/29.53 |-The branch is then unsatisfiable % 72.06/29.53 |-Branch two: % 72.06/29.53 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.53 | (609) ? [v0] : ? [v1] : ? [v2] : ( ~ (v1 = sz00) & iLess0(v2, v0) = 0 & sbrdtbr0(v1) = v2 & sbrdtbr0(all_173_1_219) = v0 & aElementOf0(v1, xI) = 0) % 72.06/29.53 | % 72.06/29.53 +-Applying beta-rule and splitting (457), into two cases. % 72.06/29.53 |-Branch one: % 72.06/29.53 | (490) all_173_1_219 = sz00 % 72.06/29.53 | % 72.06/29.53 | Equations (490) can reduce 247 to: % 72.06/29.53 | (106) $false % 72.06/29.53 | % 72.06/29.53 |-The branch is then unsatisfiable % 72.06/29.53 |-Branch two: % 72.06/29.53 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.54 | (118) ? [v0] : ? [v1] : ( ~ (v0 = sz00) & sbrdtbr0(v0) = v1 & aElementOf0(v0, xI) = 0 & ! [v2] : ! [v3] : (v2 = sz00 | ~ (iLess0(v3, v1) = 0) | ~ (sbrdtbr0(v2) = v3) | ? [v4] : ( ~ (v4 = 0) & aElementOf0(v2, xI) = v4))) % 72.06/29.54 | % 72.06/29.54 +-Applying beta-rule and splitting (485), into two cases. % 72.06/29.54 |-Branch one: % 72.06/29.54 | (490) all_173_1_219 = sz00 % 72.06/29.54 | % 72.06/29.54 | Equations (490) can reduce 247 to: % 72.06/29.54 | (106) $false % 72.06/29.54 | % 72.06/29.54 |-The branch is then unsatisfiable % 72.06/29.54 |-Branch two: % 72.06/29.54 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.54 | (617) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_125_7_157 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_125_7_157 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.54 | % 72.06/29.54 +-Applying beta-rule and splitting (455), into two cases. % 72.06/29.54 |-Branch one: % 72.06/29.54 | (490) all_173_1_219 = sz00 % 72.06/29.54 | % 72.06/29.54 | Equations (490) can reduce 247 to: % 72.06/29.54 | (106) $false % 72.06/29.54 | % 72.06/29.54 |-The branch is then unsatisfiable % 72.06/29.54 |-Branch two: % 72.06/29.54 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.54 | (621) ? [v0] : ? [v1] : (aNaturalNumber0(all_173_0_218) = v1 & aElement0(all_173_1_219) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 72.06/29.54 | % 72.06/29.54 +-Applying beta-rule and splitting (489), into two cases. % 72.06/29.54 |-Branch one: % 72.06/29.54 | (490) all_173_1_219 = sz00 % 72.06/29.54 | % 72.06/29.54 | Equations (490) can reduce 247 to: % 72.06/29.54 | (106) $false % 72.06/29.54 | % 72.06/29.54 |-The branch is then unsatisfiable % 72.06/29.54 |-Branch two: % 72.06/29.54 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.54 | (625) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_0_0_0 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_0_0_0 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.54 | % 72.06/29.54 +-Applying beta-rule and splitting (464), into two cases. % 72.06/29.54 |-Branch one: % 72.06/29.54 | (490) all_173_1_219 = sz00 % 72.06/29.54 | % 72.06/29.54 | Equations (490) can reduce 247 to: % 72.06/29.54 | (106) $false % 72.06/29.54 | % 72.06/29.54 |-The branch is then unsatisfiable % 72.06/29.54 |-Branch two: % 72.06/29.54 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.54 | (629) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v5 = all_191_6_243 & v3 = 0 & v2 = 0 & iLess0(v6, all_173_0_218) = v7 & sbrdtbr0(v1) = v6 & sdtasdt0(v0, all_173_1_219) = v4 & sdtpldt0(v4, v1) = all_191_6_243 & aElement0(v1) = 0 & aElement0(v0) = 0 & (v7 = 0 | v1 = sz00)) | ( ~ (v0 = 0) & aElement0(all_173_1_219) = v0)) % 72.06/29.54 | % 72.06/29.54 +-Applying beta-rule and splitting (454), into two cases. % 72.06/29.54 |-Branch one: % 72.06/29.54 | (490) all_173_1_219 = sz00 % 72.06/29.54 | % 72.06/29.54 | Equations (490) can reduce 247 to: % 72.06/29.54 | (106) $false % 72.06/29.54 | % 72.06/29.54 |-The branch is then unsatisfiable % 72.06/29.54 |-Branch two: % 72.06/29.54 | (247) ~ (all_173_1_219 = sz00) % 72.06/29.54 | (633) ? [v0] : ( ~ (v0 = 0) & aElementOf0(all_173_1_219, xI) = v0) % 72.06/29.54 | % 72.06/29.54 | Instantiating (633) with all_3219_0_8157 yields: % 72.06/29.54 | (634) ~ (all_3219_0_8157 = 0) & aElementOf0(all_173_1_219, xI) = all_3219_0_8157 % 72.06/29.54 | % 72.06/29.54 | Applying alpha-rule on (634) yields: % 72.06/29.54 | (635) ~ (all_3219_0_8157 = 0) % 72.06/29.54 | (636) aElementOf0(all_173_1_219, xI) = all_3219_0_8157 % 72.06/29.54 | % 72.06/29.54 | Instantiating formula (67) with all_173_1_219, xI, all_3219_0_8157, 0 and discharging atoms aElementOf0(all_173_1_219, xI) = all_3219_0_8157, aElementOf0(all_173_1_219, xI) = 0, yields: % 72.06/29.54 | (637) all_3219_0_8157 = 0 % 72.06/29.54 | % 72.06/29.54 | Equations (637) can reduce 635 to: % 72.06/29.54 | (106) $false % 72.06/29.54 | % 72.06/29.54 |-The branch is then unsatisfiable % 72.06/29.54 |-Branch two: % 72.06/29.54 | (639) ~ (all_203_7_268 = 0) & aElement0(all_37_1_78) = all_203_7_268 % 72.06/29.54 | % 72.06/29.54 | Applying alpha-rule on (639) yields: % 72.06/29.54 | (640) ~ (all_203_7_268 = 0) % 72.06/29.54 | (641) aElement0(all_37_1_78) = all_203_7_268 % 72.06/29.54 | % 72.06/29.54 | Instantiating formula (79) with all_37_1_78, all_203_7_268, 0 and discharging atoms aElement0(all_37_1_78) = all_203_7_268, aElement0(all_37_1_78) = 0, yields: % 72.06/29.54 | (642) all_203_7_268 = 0 % 72.06/29.54 | % 72.06/29.54 | Equations (642) can reduce 640 to: % 72.06/29.54 | (106) $false % 72.06/29.54 | % 72.06/29.54 |-The branch is then unsatisfiable % 72.06/29.54 |-Branch two: % 72.06/29.54 | (644) ~ (all_199_7_260 = 0) & aElement0(all_42_1_81) = all_199_7_260 % 72.06/29.54 | % 72.06/29.54 | Applying alpha-rule on (644) yields: % 72.06/29.54 | (645) ~ (all_199_7_260 = 0) % 72.06/29.54 | (646) aElement0(all_42_1_81) = all_199_7_260 % 72.06/29.54 | % 72.06/29.54 | Instantiating formula (79) with all_42_1_81, all_199_7_260, 0 and discharging atoms aElement0(all_42_1_81) = all_199_7_260, aElement0(all_42_1_81) = 0, yields: % 72.06/29.54 | (647) all_199_7_260 = 0 % 72.06/29.54 | % 72.06/29.54 | Equations (647) can reduce 645 to: % 72.06/29.54 | (106) $false % 72.06/29.54 | % 72.06/29.54 |-The branch is then unsatisfiable % 72.06/29.54 |-Branch two: % 72.06/29.54 | (649) ~ (all_165_7_209 = 0) & aElement0(all_37_1_78) = all_165_7_209 % 72.06/29.54 | % 72.06/29.54 | Applying alpha-rule on (649) yields: % 72.06/29.54 | (650) ~ (all_165_7_209 = 0) % 72.06/29.54 | (651) aElement0(all_37_1_78) = all_165_7_209 % 72.06/29.54 | % 72.06/29.54 | Instantiating formula (79) with all_37_1_78, all_165_7_209, 0 and discharging atoms aElement0(all_37_1_78) = all_165_7_209, aElement0(all_37_1_78) = 0, yields: % 72.06/29.54 | (652) all_165_7_209 = 0 % 72.06/29.54 | % 72.06/29.54 | Equations (652) can reduce 650 to: % 72.06/29.54 | (106) $false % 72.06/29.54 | % 72.06/29.54 |-The branch is then unsatisfiable % 72.06/29.54 |-Branch two: % 72.06/29.54 | (654) ~ (all_187_7_236 = 0) & aElement0(all_42_1_81) = all_187_7_236 % 72.06/29.54 | % 72.06/29.54 | Applying alpha-rule on (654) yields: % 72.06/29.54 | (655) ~ (all_187_7_236 = 0) % 72.06/29.54 | (656) aElement0(all_42_1_81) = all_187_7_236 % 72.06/29.54 | % 72.06/29.54 | Instantiating formula (79) with all_42_1_81, all_187_7_236, 0 and discharging atoms aElement0(all_42_1_81) = all_187_7_236, aElement0(all_42_1_81) = 0, yields: % 72.06/29.54 | (657) all_187_7_236 = 0 % 72.06/29.54 | % 72.06/29.54 | Equations (657) can reduce 655 to: % 72.06/29.54 | (106) $false % 72.06/29.54 | % 72.06/29.54 |-The branch is then unsatisfiable % 72.06/29.54 |-Branch two: % 72.06/29.54 | (659) ~ (all_161_7_201 = 0) & aElement0(all_37_1_78) = all_161_7_201 % 72.06/29.54 | % 72.06/29.54 | Applying alpha-rule on (659) yields: % 72.06/29.54 | (660) ~ (all_161_7_201 = 0) % 72.06/29.54 | (661) aElement0(all_37_1_78) = all_161_7_201 % 72.06/29.54 | % 72.06/29.54 | Instantiating formula (79) with all_37_1_78, all_161_7_201, 0 and discharging atoms aElement0(all_37_1_78) = all_161_7_201, aElement0(all_37_1_78) = 0, yields: % 72.06/29.54 | (662) all_161_7_201 = 0 % 72.06/29.54 | % 72.06/29.54 | Equations (662) can reduce 660 to: % 72.06/29.54 | (106) $false % 72.06/29.54 | % 72.06/29.54 |-The branch is then unsatisfiable % 72.06/29.54 |-Branch two: % 72.06/29.54 | (664) ~ (all_195_7_252 = 0) & aElement0(all_42_1_81) = all_195_7_252 % 72.06/29.54 | % 72.06/29.54 | Applying alpha-rule on (664) yields: % 72.06/29.54 | (665) ~ (all_195_7_252 = 0) % 72.06/29.54 | (666) aElement0(all_42_1_81) = all_195_7_252 % 72.06/29.54 | % 72.06/29.54 | Instantiating formula (79) with all_42_1_81, all_195_7_252, 0 and discharging atoms aElement0(all_42_1_81) = all_195_7_252, aElement0(all_42_1_81) = 0, yields: % 72.06/29.54 | (667) all_195_7_252 = 0 % 72.06/29.54 | % 72.06/29.54 | Equations (667) can reduce 665 to: % 72.06/29.54 | (106) $false % 72.06/29.54 | % 72.06/29.54 |-The branch is then unsatisfiable % 72.06/29.54 |-Branch two: % 72.06/29.54 | (669) ~ (all_133_7_165 = 0) & aElement0(all_37_1_78) = all_133_7_165 % 72.06/29.54 | % 72.06/29.54 | Applying alpha-rule on (669) yields: % 72.06/29.54 | (670) ~ (all_133_7_165 = 0) % 72.06/29.54 | (671) aElement0(all_37_1_78) = all_133_7_165 % 72.06/29.54 | % 72.06/29.54 | Instantiating formula (79) with all_37_1_78, all_133_7_165, 0 and discharging atoms aElement0(all_37_1_78) = all_133_7_165, aElement0(all_37_1_78) = 0, yields: % 72.06/29.54 | (672) all_133_7_165 = 0 % 72.06/29.54 | % 72.06/29.54 | Equations (672) can reduce 670 to: % 72.06/29.54 | (106) $false % 72.06/29.54 | % 72.06/29.54 |-The branch is then unsatisfiable % 72.06/29.54 |-Branch two: % 72.06/29.54 | (674) ~ (all_137_7_173 = 0) & aElement0(all_37_1_78) = all_137_7_173 % 72.06/29.54 | % 72.06/29.54 | Applying alpha-rule on (674) yields: % 72.06/29.54 | (675) ~ (all_137_7_173 = 0) % 72.06/29.54 | (676) aElement0(all_37_1_78) = all_137_7_173 % 72.06/29.54 | % 72.06/29.54 | Instantiating formula (79) with all_37_1_78, all_137_7_173, 0 and discharging atoms aElement0(all_37_1_78) = all_137_7_173, aElement0(all_37_1_78) = 0, yields: % 72.06/29.54 | (677) all_137_7_173 = 0 % 72.06/29.54 | % 72.06/29.54 | Equations (677) can reduce 675 to: % 72.06/29.54 | (106) $false % 72.06/29.54 | % 72.06/29.54 |-The branch is then unsatisfiable % 72.06/29.54 |-Branch two: % 72.06/29.54 | (679) ~ (all_182_7_228 = 0) & aElement0(all_0_0_0) = all_182_7_228 % 72.06/29.54 | % 72.06/29.54 | Applying alpha-rule on (679) yields: % 72.06/29.54 | (680) ~ (all_182_7_228 = 0) % 72.06/29.54 | (681) aElement0(all_0_0_0) = all_182_7_228 % 72.06/29.54 | % 72.06/29.54 | Instantiating formula (79) with all_0_0_0, all_182_7_228, 0 and discharging atoms aElement0(all_0_0_0) = all_182_7_228, aElement0(all_0_0_0) = 0, yields: % 72.06/29.54 | (682) all_182_7_228 = 0 % 72.06/29.54 | % 72.06/29.54 | Equations (682) can reduce 680 to: % 72.06/29.54 | (106) $false % 72.06/29.54 | % 72.06/29.54 |-The branch is then unsatisfiable % 72.06/29.54 |-Branch two: % 72.06/29.54 | (684) ~ (all_145_7_189 = 0) & aElement0(all_0_0_0) = all_145_7_189 % 72.06/29.54 | % 72.06/29.54 | Applying alpha-rule on (684) yields: % 72.06/29.54 | (685) ~ (all_145_7_189 = 0) % 72.06/29.54 | (686) aElement0(all_0_0_0) = all_145_7_189 % 72.06/29.54 | % 72.06/29.54 | Instantiating formula (79) with all_0_0_0, all_145_7_189, 0 and discharging atoms aElement0(all_0_0_0) = all_145_7_189, aElement0(all_0_0_0) = 0, yields: % 72.06/29.54 | (687) all_145_7_189 = 0 % 72.06/29.54 | % 72.06/29.54 | Equations (687) can reduce 685 to: % 72.06/29.54 | (106) $false % 72.06/29.54 | % 72.06/29.54 |-The branch is then unsatisfiable % 72.06/29.54 |-Branch two: % 72.06/29.54 | (689) ~ (all_125_7_157 = 0) & aElement0(all_0_0_0) = all_125_7_157 % 72.06/29.54 | % 72.06/29.54 | Applying alpha-rule on (689) yields: % 72.06/29.54 | (690) ~ (all_125_7_157 = 0) % 72.06/29.54 | (691) aElement0(all_0_0_0) = all_125_7_157 % 72.06/29.54 | % 72.06/29.54 | Instantiating formula (79) with all_0_0_0, all_125_7_157, 0 and discharging atoms aElement0(all_0_0_0) = all_125_7_157, aElement0(all_0_0_0) = 0, yields: % 72.06/29.54 | (692) all_125_7_157 = 0 % 72.06/29.54 | % 72.06/29.54 | Equations (692) can reduce 690 to: % 72.06/29.54 | (106) $false % 72.06/29.54 | % 72.06/29.54 |-The branch is then unsatisfiable % 72.06/29.54 |-Branch two: % 72.06/29.54 | (694) ~ (all_121_7_149 = 0) & aElement0(all_0_0_0) = all_121_7_149 % 72.06/29.54 | % 72.06/29.54 | Applying alpha-rule on (694) yields: % 72.06/29.54 | (695) ~ (all_121_7_149 = 0) % 72.06/29.54 | (696) aElement0(all_0_0_0) = all_121_7_149 % 72.06/29.54 | % 72.06/29.54 | Instantiating formula (79) with all_0_0_0, all_121_7_149, 0 and discharging atoms aElement0(all_0_0_0) = all_121_7_149, aElement0(all_0_0_0) = 0, yields: % 72.06/29.54 | (697) all_121_7_149 = 0 % 72.06/29.54 | % 72.06/29.54 | Equations (697) can reduce 695 to: % 72.06/29.54 | (106) $false % 72.06/29.54 | % 72.06/29.54 |-The branch is then unsatisfiable % 72.06/29.54 |-Branch two: % 72.06/29.54 | (699) ~ (all_141_7_181 = 0) & aElement0(all_42_1_81) = all_141_7_181 % 72.06/29.54 | % 72.06/29.54 | Applying alpha-rule on (699) yields: % 72.06/29.54 | (700) ~ (all_141_7_181 = 0) % 72.06/29.54 | (701) aElement0(all_42_1_81) = all_141_7_181 % 72.06/29.54 | % 72.06/29.54 | Instantiating formula (79) with all_42_1_81, all_141_7_181, 0 and discharging atoms aElement0(all_42_1_81) = all_141_7_181, aElement0(all_42_1_81) = 0, yields: % 72.06/29.54 | (702) all_141_7_181 = 0 % 72.06/29.54 | % 72.06/29.54 | Equations (702) can reduce 700 to: % 72.06/29.54 | (106) $false % 72.06/29.54 | % 72.06/29.54 |-The branch is then unsatisfiable % 72.06/29.54 |-Branch two: % 72.06/29.54 | (704) ~ (all_169_7_217 = 0) & aElement0(all_0_0_0) = all_169_7_217 % 72.06/29.54 | % 72.06/29.54 | Applying alpha-rule on (704) yields: % 72.06/29.54 | (705) ~ (all_169_7_217 = 0) % 72.06/29.54 | (706) aElement0(all_0_0_0) = all_169_7_217 % 72.06/29.54 | % 72.06/29.54 | Instantiating formula (79) with all_0_0_0, all_169_7_217, 0 and discharging atoms aElement0(all_0_0_0) = all_169_7_217, aElement0(all_0_0_0) = 0, yields: % 72.06/29.55 | (707) all_169_7_217 = 0 % 72.06/29.55 | % 72.06/29.55 | Equations (707) can reduce 705 to: % 72.06/29.55 | (106) $false % 72.06/29.55 | % 72.06/29.55 |-The branch is then unsatisfiable % 72.06/29.55 |-Branch two: % 72.06/29.55 | (709) ~ (all_191_7_244 = 0) & aElement0(all_42_1_81) = all_191_7_244 % 72.06/29.55 | % 72.06/29.55 | Applying alpha-rule on (709) yields: % 72.06/29.55 | (710) ~ (all_191_7_244 = 0) % 72.06/29.55 | (711) aElement0(all_42_1_81) = all_191_7_244 % 72.06/29.55 | % 72.06/29.55 | Instantiating formula (79) with all_42_1_81, all_191_7_244, 0 and discharging atoms aElement0(all_42_1_81) = all_191_7_244, aElement0(all_42_1_81) = 0, yields: % 72.06/29.55 | (712) all_191_7_244 = 0 % 72.06/29.55 | % 72.06/29.55 | Equations (712) can reduce 710 to: % 72.06/29.55 | (106) $false % 72.06/29.55 | % 72.06/29.55 |-The branch is then unsatisfiable % 72.06/29.55 % SZS output end Proof for theBenchmark % 72.06/29.55 % 72.06/29.55 28907ms %------------------------------------------------------------------------------