%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : RNG052+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n018.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 20:25:12 EDT 2022 % Result : Theorem 20.60s 6.44s % Output : Proof 32.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : RNG052+1 : TPTP v8.1.0. Released v4.0.0. % 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.33 % Computer : n018.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Mon May 30 06:57:56 EDT 2022 % 0.13/0.34 % CPUTime : % 0.62/0.60 ____ _ % 0.62/0.60 ___ / __ \_____(_)___ ________ __________ % 0.62/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.62/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.62/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.62/0.60 % 0.62/0.60 A Theorem Prover for First-Order Logic % 0.62/0.60 (ePrincess v.1.0) % 0.62/0.60 % 0.62/0.60 (c) Philipp Rümmer, 2009-2015 % 0.62/0.60 (c) Peter Backeman, 2014-2015 % 0.62/0.60 (contributions by Angelo Brillout, Peter Baumgartner) % 0.62/0.60 Free software under GNU Lesser General Public License (LGPL). % 0.62/0.60 Bug reports to peter@backeman.se % 0.62/0.60 % 0.62/0.60 For more information, visit http://user.uu.se/~petba168/breu/ % 0.62/0.60 % 0.62/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.70/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.01/1.01 Prover 0: Preprocessing ... % 3.99/1.52 Prover 0: Constructing countermodel ... % 18.40/5.94 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 18.79/6.03 Prover 1: Preprocessing ... % 19.30/6.19 Prover 1: Constructing countermodel ... % 20.60/6.43 Prover 1: proved (488ms) % 20.60/6.44 Prover 0: stopped % 20.60/6.44 % 20.60/6.44 No countermodel exists, formula is valid % 20.60/6.44 % SZS status Theorem for theBenchmark % 20.60/6.44 % 20.60/6.44 Generating proof ... found it (size 240) % 31.11/8.96 % 31.11/8.96 % SZS output start Proof for theBenchmark % 31.11/8.96 Assumed formulas after preprocessing and simplification: % 31.46/8.96 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = 0) & ~ (v1 = sz00) & sdtasasdt0(xq, xq) = xD & sdtasasdt0(xp, xq) = xE & sdtasasdt0(xp, xp) = xC & sziznziztdt0(xt) = xq & sziznziztdt0(xs) = xp & sdtlbdtrb0(xt, v1) = xB & sdtlbdtrb0(xs, v1) = xA & aVector0(xq) = 0 & aVector0(xp) = 0 & aVector0(xt) = 0 & aVector0(xs) = 0 & aDimensionOf0(xt) = v1 & aDimensionOf0(xs) = v1 & sdtlseqdt0(v2, v3) = v4 & smndt0(sz0z00) = v0 & sdtasdt0(xR, xS) = xN & sdtasdt0(xF, xD) = xS & sdtasdt0(xE, xH) = xP & sdtasdt0(xE, xE) = v2 & sdtasdt0(xC, xG) = xR & sdtasdt0(xC, xD) = v3 & sdtasdt0(xB, xB) = xG & sdtasdt0(xA, xB) = xH & sdtasdt0(xA, xA) = xF & aScalar0(xN) = 0 & aScalar0(xS) = 0 & aScalar0(xP) = 0 & aScalar0(xR) = 0 & aScalar0(xH) = 0 & aScalar0(xG) = 0 & aScalar0(xF) = 0 & aScalar0(xE) = 0 & aScalar0(xD) = 0 & aScalar0(xC) = 0 & aScalar0(xB) = 0 & aScalar0(xA) = 0 & aScalar0(sz0z00) = 0 & aNaturalNumber0(sz00) = 0 & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (sdtasdt0(v6, v8) = v13) | ~ (sdtasdt0(v6, v7) = v12) | ~ (sdtasdt0(v5, v8) = v10) | ~ (sdtasdt0(v5, v7) = v9) | ~ (sdtpldt0(v12, v13) = v14) | ~ (sdtpldt0(v11, v14) = v15) | ~ (sdtpldt0(v9, v10) = v11) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (sdtasdt0(v20, v21) = v22 & sdtpldt0(v7, v8) = v21 & sdtpldt0(v5, v6) = v20 & aScalar0(v8) = v19 & aScalar0(v7) = v18 & aScalar0(v6) = v17 & aScalar0(v5) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v22 = v15))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v7 = sz00 | ~ (sdtasasdt0(v8, v9) = v10) | ~ (sziznziztdt0(v6) = v9) | ~ (sziznziztdt0(v5) = v8) | ~ (sdtlbdtrb0(v6, v7) = v12) | ~ (sdtlbdtrb0(v5, v7) = v11) | ~ (aDimensionOf0(v6) = v7) | ~ (aDimensionOf0(v5) = v7) | ~ (sdtasdt0(v11, v12) = v13) | ~ (sdtpldt0(v10, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (sdtasasdt0(v5, v6) = v17 & aVector0(v6) = v16 & aVector0(v5) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0) | v17 = v14))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (sdtasasdt0(v6, v6) = v10) | ~ (sdtasasdt0(v5, v6) = v7) | ~ (sdtasasdt0(v5, v5) = v9) | ~ (sdtlseqdt0(v8, v11) = v12) | ~ (sdtasdt0(v9, v10) = v11) | ~ (sdtasdt0(v7, v7) = v8) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (aVector0(v6) = v14 & aVector0(v5) = v13 & aDimensionOf0(v6) = v16 & aDimensionOf0(v5) = v15 & iLess0(v15, v1) = v17 & ( ~ (v17 = 0) | ~ (v16 = v15) | ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (sdtlseqdt0(v9, v10) = v11) | ~ (sdtasdt0(v6, v8) = v10) | ~ (sdtasdt0(v5, v7) = v9) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (sdtlseqdt0(v7, v8) = v18 & sdtlseqdt0(v5, v6) = v16 & sdtlseqdt0(sz0z00, v7) = v17 & aScalar0(v8) = v15 & aScalar0(v7) = v14 & aScalar0(v6) = v13 & aScalar0(v5) = v12 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (sdtlseqdt0(v9, v10) = v11) | ~ (sdtpldt0(v6, v8) = v10) | ~ (sdtpldt0(v5, v7) = v9) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (sdtlseqdt0(v7, v8) = v17 & sdtlseqdt0(v5, v6) = v16 & aScalar0(v8) = v15 & aScalar0(v7) = v14 & aScalar0(v6) = v13 & aScalar0(v5) = v12 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (sdtasdt0(v5, v7) = v9) | ~ (sdtasdt0(v5, v6) = v8) | ~ (sdtpldt0(v8, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : (sdtasdt0(v16, v7) = v17 & sdtasdt0(v6, v7) = v18 & sdtasdt0(v5, v14) = v15 & sdtpldt0(v9, v18) = v19 & sdtpldt0(v6, v7) = v14 & sdtpldt0(v5, v6) = v16 & aScalar0(v7) = v13 & aScalar0(v6) = v12 & aScalar0(v5) = v11 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | (v19 = v17 & v15 = v10)))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (smndt0(v6) = v8) | ~ (smndt0(v5) = v7) | ~ (sdtasdt0(v7, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : (sdtasdt0(v5, v6) = v12 & aScalar0(v6) = v11 & aScalar0(v5) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 = v9))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (sdtpldt0(v8, v7) = v9) | ~ (sdtpldt0(v5, v6) = v8) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (sdtasdt0(v16, v7) = v17 & sdtasdt0(v6, v7) = v18 & sdtasdt0(v6, v5) = v20 & sdtasdt0(v5, v18) = v19 & sdtasdt0(v5, v6) = v16 & sdtpldt0(v6, v7) = v13 & sdtpldt0(v6, v5) = v15 & sdtpldt0(v5, v13) = v14 & aScalar0(v7) = v12 & aScalar0(v6) = v11 & aScalar0(v5) = v10 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | (v20 = v16 & v19 = v17 & v15 = v8 & v14 = v9)))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (sdtlseqdt0(v5, v7) = v8) | ~ (sdtlseqdt0(v5, v6) = 0) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : (sdtlseqdt0(v6, v7) = v12 & aScalar0(v7) = v11 & aScalar0(v6) = v10 & aScalar0(v5) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0)))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (sdtasasdt0(v8, v7) = v6) | ~ (sdtasasdt0(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (sdtlbdtrb0(v8, v7) = v6) | ~ (sdtlbdtrb0(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (sdtlseqdt0(v8, v7) = v6) | ~ (sdtlseqdt0(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (sdtasdt0(v8, v7) = v6) | ~ (sdtasdt0(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (sdtpldt0(v8, v7) = v6) | ~ (sdtpldt0(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (iLess0(v8, v7) = v6) | ~ (iLess0(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (sziznziztdt0(v6) = v8) | ~ (sziznziztdt0(v5) = v7) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (aVector0(v6) = v10 & aVector0(v5) = v9 & aDimensionOf0(v8) = v14 & aDimensionOf0(v7) = v13 & aDimensionOf0(v6) = v12 & aDimensionOf0(v5) = v11 & ( ~ (v12 = v11) | ~ (v10 = 0) | ~ (v9 = 0) | v14 = v13 | v11 = sz00))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (smndt0(v5) = v7) | ~ (sdtasdt0(v7, v6) = v8) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (smndt0(v13) = v14 & smndt0(v6) = v11 & sdtasdt0(v5, v11) = v12 & sdtasdt0(v5, v6) = v13 & aScalar0(v6) = v10 & aScalar0(v5) = v9 & ( ~ (v10 = 0) | ~ (v9 = 0) | (v14 = v8 & v12 = v8)))) & ! [v5] : ! [v6] : ! [v7] : (v7 = sz0z00 | ~ (sdtasasdt0(v5, v6) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (aVector0(v6) = v9 & aVector0(v5) = v8 & aDimensionOf0(v6) = v11 & aDimensionOf0(v5) = v10 & ( ~ (v11 = sz00) | ~ (v10 = sz00) | ~ (v9 = 0) | ~ (v8 = 0)))) & ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (sdtlseqdt0(v5, v6) = v7) | ? [v8] : ? [v9] : ? [v10] : (sdtlseqdt0(v6, v5) = v10 & aScalar0(v6) = v9 & aScalar0(v5) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | v10 = 0))) & ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (iLess0(v5, v6) = v7) | ~ (szszuzczcdt0(v5) = v6) | ? [v8] : ( ~ (v8 = 0) & aNaturalNumber0(v5) = v8)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (sziznziztdt0(v7) = v6) | ~ (sziznziztdt0(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (aVector0(v7) = v6) | ~ (aVector0(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (aDimensionOf0(v7) = v6) | ~ (aDimensionOf0(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (smndt0(v7) = v6) | ~ (smndt0(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (aScalar0(v7) = v6) | ~ (aScalar0(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (szszuzczcdt0(v7) = v6) | ~ (szszuzczcdt0(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (szszuzczcdt0(v6) = v7) | ~ (szszuzczcdt0(v5) = v7) | ? [v8] : ? [v9] : (aNaturalNumber0(v6) = v9 & aNaturalNumber0(v5) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0)))) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (aNaturalNumber0(v7) = v6) | ~ (aNaturalNumber0(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (sdtasasdt0(v5, v6) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (aVector0(v6) = v9 & aVector0(v5) = v8 & aDimensionOf0(v6) = v11 & aDimensionOf0(v5) = v10 & aScalar0(v7) = v12 & ( ~ (v11 = v10) | ~ (v9 = 0) | ~ (v8 = 0) | v12 = 0))) & ! [v5] : ! [v6] : ! [v7] : ( ~ (sdtlbdtrb0(v5, v6) = v7) | ? [v8] : ? [v9] : ? [v10] : (aVector0(v5) = v8 & aScalar0(v7) = v10 & aNaturalNumber0(v6) = v9 & ( ~ (v9 = 0) | ~ (v8 = 0) | v10 = 0))) & ! [v5] : ! [v6] : ! [v7] : ( ~ (smndt0(v5) = v6) | ~ (sdtpldt0(v6, v5) = v7) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (smndt0(v6) = v14 & sdtasdt0(v5, sz0z00) = v11 & sdtasdt0(sz0z00, v5) = v12 & sdtpldt0(v5, v6) = v13 & sdtpldt0(v5, sz0z00) = v9 & sdtpldt0(sz0z00, v5) = v10 & aScalar0(v5) = v8 & ( ~ (v8 = 0) | (v14 = v5 & v13 = sz0z00 & v12 = sz0z00 & v11 = sz0z00 & v10 = v5 & v9 = v5 & v7 = sz0z00 & v0 = sz0z00)))) & ! [v5] : ! [v6] : ! [v7] : ( ~ (sdtasdt0(v5, v6) = v7) | ? [v8] : ? [v9] : ? [v10] : (aScalar0(v7) = v10 & aScalar0(v6) = v9 & aScalar0(v5) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | v10 = 0))) & ! [v5] : ! [v6] : ! [v7] : ( ~ (sdtpldt0(v5, v6) = v7) | ? [v8] : ? [v9] : ? [v10] : (aScalar0(v7) = v10 & aScalar0(v6) = v9 & aScalar0(v5) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | v10 = 0))) & ! [v5] : ! [v6] : (v6 = v5 | ~ (sdtlseqdt0(v5, v6) = 0) | ? [v7] : ? [v8] : ? [v9] : (sdtlseqdt0(v6, v5) = v9 & aScalar0(v6) = v8 & aScalar0(v5) = v7 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)))) & ! [v5] : ! [v6] : (v6 = v5 | ~ (sdtlseqdt0(sz0z00, v6) = 0) | ~ (sdtlseqdt0(sz0z00, v5) = 0) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (sdtasdt0(v6, v6) = v10 & sdtasdt0(v5, v5) = v9 & aScalar0(v6) = v8 & aScalar0(v5) = v7 & ( ~ (v10 = v9) | ~ (v8 = 0) | ~ (v7 = 0)))) & ! [v5] : ! [v6] : (v6 = 0 | ~ (sdtlseqdt0(v5, v5) = v6) | ? [v7] : ( ~ (v7 = 0) & aScalar0(v5) = v7)) & ! [v5] : ! [v6] : ( ~ (sdtasasdt0(v5, v5) = v6) | ? [v7] : ? [v8] : (aVector0(v5) = v7 & sdtlseqdt0(sz0z00, v6) = v8 & ( ~ (v7 = 0) | v8 = 0))) & ! [v5] : ! [v6] : ( ~ (sziznziztdt0(v5) = v6) | ? [v7] : ? [v8] : (aVector0(v5) = v7 & aDimensionOf0(v5) = v8 & ( ~ (v7 = 0) | v8 = sz00 | ( ! [v9] : ! [v10] : ! [v11] : ( ~ (sdtlbdtrb0(v5, v10) = v11) | ~ (aVector0(v6) = v9) | ? [v12] : ? [v13] : (sdtlbdtrb0(v6, v10) = v13 & aNaturalNumber0(v10) = v12 & ( ~ (v12 = 0) | v13 = v11))) & ! [v9] : (v9 = v6 | ~ (aVector0(v9) = 0) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v11 = 0 & ~ (v13 = v12) & sdtlbdtrb0(v9, v10) = v12 & sdtlbdtrb0(v5, v10) = v13 & aNaturalNumber0(v10) = 0) | ( ~ (v11 = v8) & aDimensionOf0(v9) = v10 & szszuzczcdt0(v10) = v11))) & ! [v9] : (v9 = 0 | ~ (aVector0(v6) = v9)) & ! [v9] : ( ~ (aVector0(v6) = v9) | ? [v10] : (aDimensionOf0(v6) = v10 & szszuzczcdt0(v10) = v8)))))) & ! [v5] : ! [v6] : ( ~ (sdtlseqdt0(sz0z00, v6) = 0) | ~ (sdtlseqdt0(sz0z00, v5) = 0) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (sdtlseqdt0(sz0z00, v11) = v12 & sdtlseqdt0(sz0z00, v9) = v10 & sdtasdt0(v5, v6) = v11 & sdtpldt0(v5, v6) = v9 & aScalar0(v6) = v8 & aScalar0(v5) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | (v12 = 0 & v10 = 0)))) & ! [v5] : ! [v6] : ( ~ (smndt0(v5) = v6) | ? [v7] : ? [v8] : (aScalar0(v6) = v8 & aScalar0(v5) = v7 & ( ~ (v7 = 0) | v8 = 0))) & ! [v5] : ! [v6] : ( ~ (sdtasdt0(v5, v5) = v6) | ? [v7] : ? [v8] : (sdtlseqdt0(sz0z00, v6) = v8 & aScalar0(v5) = v7 & ( ~ (v7 = 0) | v8 = 0))) & ! [v5] : ! [v6] : ( ~ (szszuzczcdt0(v5) = v6) | ? [v7] : ? [v8] : (aNaturalNumber0(v6) = v8 & aNaturalNumber0(v5) = v7 & ( ~ (v7 = 0) | (v8 = 0 & ~ (v6 = sz00))))) & ! [v5] : (v5 = sz00 | ~ (aNaturalNumber0(v5) = 0) | ? [v6] : (szszuzczcdt0(v6) = v5 & aNaturalNumber0(v6) = 0)) & ! [v5] : ( ~ (aVector0(v5) = 0) | ? [v6] : (aDimensionOf0(v5) = v6 & aNaturalNumber0(v6) = 0))) % 31.71/9.03 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 yields: % 31.71/9.03 | (1) ~ (all_0_0_0 = 0) & ~ (all_0_3_3 = sz00) & sdtasasdt0(xq, xq) = xD & sdtasasdt0(xp, xq) = xE & sdtasasdt0(xp, xp) = xC & sziznziztdt0(xt) = xq & sziznziztdt0(xs) = xp & sdtlbdtrb0(xt, all_0_3_3) = xB & sdtlbdtrb0(xs, all_0_3_3) = xA & aVector0(xq) = 0 & aVector0(xp) = 0 & aVector0(xt) = 0 & aVector0(xs) = 0 & aDimensionOf0(xt) = all_0_3_3 & aDimensionOf0(xs) = all_0_3_3 & sdtlseqdt0(all_0_2_2, all_0_1_1) = all_0_0_0 & smndt0(sz0z00) = all_0_4_4 & sdtasdt0(xR, xS) = xN & sdtasdt0(xF, xD) = xS & sdtasdt0(xE, xH) = xP & sdtasdt0(xE, xE) = all_0_2_2 & sdtasdt0(xC, xG) = xR & sdtasdt0(xC, xD) = all_0_1_1 & sdtasdt0(xB, xB) = xG & sdtasdt0(xA, xB) = xH & sdtasdt0(xA, xA) = xF & aScalar0(xN) = 0 & aScalar0(xS) = 0 & aScalar0(xP) = 0 & aScalar0(xR) = 0 & aScalar0(xH) = 0 & aScalar0(xG) = 0 & aScalar0(xF) = 0 & aScalar0(xE) = 0 & aScalar0(xD) = 0 & aScalar0(xC) = 0 & aScalar0(xB) = 0 & aScalar0(xA) = 0 & aScalar0(sz0z00) = 0 & aNaturalNumber0(sz00) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (sdtasdt0(v1, v3) = v8) | ~ (sdtasdt0(v1, v2) = v7) | ~ (sdtasdt0(v0, v3) = v5) | ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtpldt0(v7, v8) = v9) | ~ (sdtpldt0(v6, v9) = v10) | ~ (sdtpldt0(v4, v5) = v6) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (sdtasdt0(v15, v16) = v17 & sdtpldt0(v2, v3) = v16 & sdtpldt0(v0, v1) = v15 & aScalar0(v3) = v14 & aScalar0(v2) = v13 & aScalar0(v1) = v12 & aScalar0(v0) = v11 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | v17 = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v2 = sz00 | ~ (sdtasasdt0(v3, v4) = v5) | ~ (sziznziztdt0(v1) = v4) | ~ (sziznziztdt0(v0) = v3) | ~ (sdtlbdtrb0(v1, v2) = v7) | ~ (sdtlbdtrb0(v0, v2) = v6) | ~ (aDimensionOf0(v1) = v2) | ~ (aDimensionOf0(v0) = v2) | ~ (sdtasdt0(v6, v7) = v8) | ~ (sdtpldt0(v5, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : (sdtasasdt0(v0, v1) = v12 & aVector0(v1) = v11 & aVector0(v0) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (sdtasasdt0(v1, v1) = v5) | ~ (sdtasasdt0(v0, v1) = v2) | ~ (sdtasasdt0(v0, v0) = v4) | ~ (sdtlseqdt0(v3, v6) = v7) | ~ (sdtasdt0(v4, v5) = v6) | ~ (sdtasdt0(v2, v2) = v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (aVector0(v1) = v9 & aVector0(v0) = v8 & aDimensionOf0(v1) = v11 & aDimensionOf0(v0) = v10 & iLess0(v10, all_0_3_3) = v12 & ( ~ (v12 = 0) | ~ (v11 = v10) | ~ (v9 = 0) | ~ (v8 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (sdtlseqdt0(v4, v5) = v6) | ~ (sdtasdt0(v1, v3) = v5) | ~ (sdtasdt0(v0, v2) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (sdtlseqdt0(v2, v3) = v13 & sdtlseqdt0(v0, v1) = v11 & sdtlseqdt0(sz0z00, v2) = v12 & aScalar0(v3) = v10 & aScalar0(v2) = v9 & aScalar0(v1) = v8 & aScalar0(v0) = v7 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (sdtlseqdt0(v4, v5) = v6) | ~ (sdtpldt0(v1, v3) = v5) | ~ (sdtpldt0(v0, v2) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (sdtlseqdt0(v2, v3) = v12 & sdtlseqdt0(v0, v1) = v11 & aScalar0(v3) = v10 & aScalar0(v2) = v9 & aScalar0(v1) = v8 & aScalar0(v0) = v7 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 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(v11, v2) = v12 & sdtasdt0(v1, v2) = v13 & sdtasdt0(v0, v9) = v10 & sdtpldt0(v4, v13) = v14 & sdtpldt0(v1, v2) = v9 & sdtpldt0(v0, v1) = v11 & aScalar0(v2) = v8 & aScalar0(v1) = v7 & aScalar0(v0) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | (v14 = v12 & v10 = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (smndt0(v1) = v3) | ~ (smndt0(v0) = v2) | ~ (sdtasdt0(v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : (sdtasdt0(v0, v1) = v7 & aScalar0(v1) = v6 & aScalar0(v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (sdtasdt0(v11, v2) = v12 & sdtasdt0(v1, v2) = v13 & sdtasdt0(v1, v0) = v15 & sdtasdt0(v0, v13) = v14 & sdtasdt0(v0, v1) = v11 & sdtpldt0(v1, v2) = v8 & sdtpldt0(v1, v0) = v10 & sdtpldt0(v0, v8) = v9 & aScalar0(v2) = v7 & aScalar0(v1) = v6 & aScalar0(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | (v15 = v11 & v14 = v12 & v10 = v3 & v9 = v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (sdtlseqdt0(v0, v2) = v3) | ~ (sdtlseqdt0(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (sdtlseqdt0(v1, v2) = v7 & aScalar0(v2) = v6 & aScalar0(v1) = v5 & aScalar0(v0) = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1) | ~ (sdtlbdtrb0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sziznziztdt0(v1) = v3) | ~ (sziznziztdt0(v0) = v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (aVector0(v1) = v5 & aVector0(v0) = v4 & aDimensionOf0(v3) = v9 & aDimensionOf0(v2) = v8 & aDimensionOf0(v1) = v7 & aDimensionOf0(v0) = v6 & ( ~ (v7 = v6) | ~ (v5 = 0) | ~ (v4 = 0) | v9 = v8 | v6 = sz00))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (smndt0(v0) = v2) | ~ (sdtasdt0(v2, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (smndt0(v8) = v9 & smndt0(v1) = v6 & sdtasdt0(v0, v6) = v7 & sdtasdt0(v0, v1) = v8 & aScalar0(v1) = v5 & aScalar0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0) | (v9 = v3 & v7 = v3)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = sz0z00 | ~ (sdtasasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (aVector0(v1) = v4 & aVector0(v0) = v3 & aDimensionOf0(v1) = v6 & aDimensionOf0(v0) = v5 & ( ~ (v6 = sz00) | ~ (v5 = sz00) | ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (sdtlseqdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(v1, v0) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (iLess0(v0, v1) = v2) | ~ (szszuzczcdt0(v0) = v1) | ? [v3] : ( ~ (v3 = 0) & aNaturalNumber0(v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sziznziztdt0(v2) = v1) | ~ (sziznziztdt0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aVector0(v2) = v1) | ~ (aVector0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aDimensionOf0(v2) = v1) | ~ (aDimensionOf0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v1) = v2) | ~ (szszuzczcdt0(v0) = v2) | ? [v3] : ? [v4] : (aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (aVector0(v1) = v4 & aVector0(v0) = v3 & aDimensionOf0(v1) = v6 & aDimensionOf0(v0) = v5 & aScalar0(v2) = v7 & ( ~ (v6 = v5) | ~ (v4 = 0) | ~ (v3 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aVector0(v0) = v3 & aScalar0(v2) = v5 & aNaturalNumber0(v1) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (smndt0(v0) = v1) | ~ (sdtpldt0(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (smndt0(v1) = v9 & sdtasdt0(v0, sz0z00) = v6 & sdtasdt0(sz0z00, v0) = v7 & sdtpldt0(v0, v1) = v8 & sdtpldt0(v0, sz0z00) = v4 & sdtpldt0(sz0z00, v0) = v5 & aScalar0(v0) = v3 & ( ~ (v3 = 0) | (v9 = v0 & v8 = sz0z00 & v7 = sz0z00 & v6 = sz0z00 & v5 = v0 & v4 = v0 & v2 = sz0z00 & all_0_4_4 = sz0z00)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtlseqdt0(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : (sdtlseqdt0(v1, v0) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtlseqdt0(sz0z00, v1) = 0) | ~ (sdtlseqdt0(sz0z00, v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtasdt0(v1, v1) = v5 & sdtasdt0(v0, v0) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v5 = v4) | ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (sdtlseqdt0(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aScalar0(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (sdtasasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (aVector0(v0) = v2 & sdtlseqdt0(sz0z00, v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (sziznziztdt0(v0) = v1) | ? [v2] : ? [v3] : (aVector0(v0) = v2 & aDimensionOf0(v0) = v3 & ( ~ (v2 = 0) | v3 = sz00 | ( ! [v4] : ! [v5] : ! [v6] : ( ~ (sdtlbdtrb0(v0, v5) = v6) | ~ (aVector0(v1) = v4) | ? [v7] : ? [v8] : (sdtlbdtrb0(v1, v5) = v8 & aNaturalNumber0(v5) = v7 & ( ~ (v7 = 0) | v8 = v6))) & ! [v4] : (v4 = v1 | ~ (aVector0(v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ((v6 = 0 & ~ (v8 = v7) & sdtlbdtrb0(v4, v5) = v7 & sdtlbdtrb0(v0, v5) = v8 & aNaturalNumber0(v5) = 0) | ( ~ (v6 = v3) & aDimensionOf0(v4) = v5 & szszuzczcdt0(v5) = v6))) & ! [v4] : (v4 = 0 | ~ (aVector0(v1) = v4)) & ! [v4] : ( ~ (aVector0(v1) = v4) | ? [v5] : (aDimensionOf0(v1) = v5 & szszuzczcdt0(v5) = v3)))))) & ! [v0] : ! [v1] : ( ~ (sdtlseqdt0(sz0z00, v1) = 0) | ~ (sdtlseqdt0(sz0z00, v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (sdtlseqdt0(sz0z00, v6) = v7 & sdtlseqdt0(sz0z00, v4) = v5 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v0, v1) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | (v7 = 0 & v5 = 0)))) & ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : (aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (sdtlseqdt0(sz0z00, v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = 0 & ~ (v1 = sz00))))) & ! [v0] : (v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ? [v1] : (szszuzczcdt0(v1) = v0 & aNaturalNumber0(v1) = 0)) & ! [v0] : ( ~ (aVector0(v0) = 0) | ? [v1] : (aDimensionOf0(v0) = v1 & aNaturalNumber0(v1) = 0)) % 31.78/9.05 | % 31.78/9.05 | Applying alpha-rule on (1) yields: % 31.78/9.05 | (2) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (aVector0(v1) = v4 & aVector0(v0) = v3 & aDimensionOf0(v1) = v6 & aDimensionOf0(v0) = v5 & aScalar0(v2) = v7 & ( ~ (v6 = v5) | ~ (v4 = 0) | ~ (v3 = 0) | v7 = 0))) % 31.78/9.05 | (3) aVector0(xq) = 0 % 31.78/9.05 | (4) sdtlbdtrb0(xs, all_0_3_3) = xA % 31.78/9.05 | (5) sdtlbdtrb0(xt, all_0_3_3) = xB % 31.78/9.05 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (sdtasdt0(v11, v2) = v12 & sdtasdt0(v1, v2) = v13 & sdtasdt0(v1, v0) = v15 & sdtasdt0(v0, v13) = v14 & sdtasdt0(v0, v1) = v11 & sdtpldt0(v1, v2) = v8 & sdtpldt0(v1, v0) = v10 & sdtpldt0(v0, v8) = v9 & aScalar0(v2) = v7 & aScalar0(v1) = v6 & aScalar0(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | (v15 = v11 & v14 = v12 & v10 = v3 & v9 = v4)))) % 31.78/9.05 | (7) aDimensionOf0(xt) = all_0_3_3 % 31.78/9.05 | (8) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aVector0(v2) = v1) | ~ (aVector0(v2) = v0)) % 31.78/9.05 | (9) ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = 0 & ~ (v1 = sz00))))) % 31.78/9.05 | (10) sdtasdt0(xB, xB) = xG % 31.78/9.05 | (11) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (iLess0(v0, v1) = v2) | ~ (szszuzczcdt0(v0) = v1) | ? [v3] : ( ~ (v3 = 0) & aNaturalNumber0(v0) = v3)) % 31.78/9.05 | (12) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = v0)) % 31.78/9.05 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (sdtlseqdt0(v0, v2) = v3) | ~ (sdtlseqdt0(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (sdtlseqdt0(v1, v2) = v7 & aScalar0(v2) = v6 & aScalar0(v1) = v5 & aScalar0(v0) = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))) % 31.78/9.05 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (sdtlseqdt0(v4, v5) = v6) | ~ (sdtpldt0(v1, v3) = v5) | ~ (sdtpldt0(v0, v2) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (sdtlseqdt0(v2, v3) = v12 & sdtlseqdt0(v0, v1) = v11 & aScalar0(v3) = v10 & aScalar0(v2) = v9 & aScalar0(v1) = v8 & aScalar0(v0) = v7 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)))) % 31.78/9.05 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (sdtasdt0(v1, v3) = v8) | ~ (sdtasdt0(v1, v2) = v7) | ~ (sdtasdt0(v0, v3) = v5) | ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtpldt0(v7, v8) = v9) | ~ (sdtpldt0(v6, v9) = v10) | ~ (sdtpldt0(v4, v5) = v6) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (sdtasdt0(v15, v16) = v17 & sdtpldt0(v2, v3) = v16 & sdtpldt0(v0, v1) = v15 & aScalar0(v3) = v14 & aScalar0(v2) = v13 & aScalar0(v1) = v12 & aScalar0(v0) = v11 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | v17 = v10))) % 31.78/9.05 | (16) sdtasdt0(xC, xG) = xR % 31.78/9.05 | (17) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aDimensionOf0(v2) = v1) | ~ (aDimensionOf0(v2) = v0)) % 31.78/9.05 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1) | ~ (sdtlbdtrb0(v3, v2) = v0)) % 31.78/9.05 | (19) aScalar0(xN) = 0 % 31.78/9.05 | (20) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0)) % 31.78/9.05 | (21) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0)) % 31.78/9.05 | (22) aNaturalNumber0(sz00) = 0 % 31.78/9.05 | (23) aScalar0(xB) = 0 % 31.78/9.06 | (24) ~ (all_0_0_0 = 0) % 31.78/9.06 | (25) ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : (aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 31.78/9.06 | (26) aVector0(xp) = 0 % 31.78/9.06 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (smndt0(v0) = v2) | ~ (sdtasdt0(v2, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (smndt0(v8) = v9 & smndt0(v1) = v6 & sdtasdt0(v0, v6) = v7 & sdtasdt0(v0, v1) = v8 & aScalar0(v1) = v5 & aScalar0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0) | (v9 = v3 & v7 = v3)))) % 31.78/9.06 | (28) sdtasdt0(xA, xB) = xH % 31.78/9.06 | (29) aScalar0(xR) = 0 % 31.78/9.06 | (30) sdtasasdt0(xp, xp) = xC % 31.78/9.06 | (31) sdtasdt0(xR, xS) = xN % 31.78/9.06 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) % 31.78/9.06 | (33) aScalar0(xE) = 0 % 31.78/9.06 | (34) aScalar0(xG) = 0 % 31.78/9.06 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (sdtasasdt0(v1, v1) = v5) | ~ (sdtasasdt0(v0, v1) = v2) | ~ (sdtasasdt0(v0, v0) = v4) | ~ (sdtlseqdt0(v3, v6) = v7) | ~ (sdtasdt0(v4, v5) = v6) | ~ (sdtasdt0(v2, v2) = v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (aVector0(v1) = v9 & aVector0(v0) = v8 & aDimensionOf0(v1) = v11 & aDimensionOf0(v0) = v10 & iLess0(v10, all_0_3_3) = v12 & ( ~ (v12 = 0) | ~ (v11 = v10) | ~ (v9 = 0) | ~ (v8 = 0)))) % 31.78/9.06 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) % 31.78/9.06 | (37) ! [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(v11, v2) = v12 & sdtasdt0(v1, v2) = v13 & sdtasdt0(v0, v9) = v10 & sdtpldt0(v4, v13) = v14 & sdtpldt0(v1, v2) = v9 & sdtpldt0(v0, v1) = v11 & aScalar0(v2) = v8 & aScalar0(v1) = v7 & aScalar0(v0) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | (v14 = v12 & v10 = v5)))) % 31.78/9.06 | (38) ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (sdtlseqdt0(sz0z00, v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 31.78/9.06 | (39) aVector0(xs) = 0 % 31.78/9.06 | (40) ! [v0] : ! [v1] : ( ~ (sziznziztdt0(v0) = v1) | ? [v2] : ? [v3] : (aVector0(v0) = v2 & aDimensionOf0(v0) = v3 & ( ~ (v2 = 0) | v3 = sz00 | ( ! [v4] : ! [v5] : ! [v6] : ( ~ (sdtlbdtrb0(v0, v5) = v6) | ~ (aVector0(v1) = v4) | ? [v7] : ? [v8] : (sdtlbdtrb0(v1, v5) = v8 & aNaturalNumber0(v5) = v7 & ( ~ (v7 = 0) | v8 = v6))) & ! [v4] : (v4 = v1 | ~ (aVector0(v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ((v6 = 0 & ~ (v8 = v7) & sdtlbdtrb0(v4, v5) = v7 & sdtlbdtrb0(v0, v5) = v8 & aNaturalNumber0(v5) = 0) | ( ~ (v6 = v3) & aDimensionOf0(v4) = v5 & szszuzczcdt0(v5) = v6))) & ! [v4] : (v4 = 0 | ~ (aVector0(v1) = v4)) & ! [v4] : ( ~ (aVector0(v1) = v4) | ? [v5] : (aDimensionOf0(v1) = v5 & szszuzczcdt0(v5) = v3)))))) % 31.78/9.06 | (41) ! [v0] : ! [v1] : ( ~ (sdtasasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (aVector0(v0) = v2 & sdtlseqdt0(sz0z00, v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) % 31.78/9.06 | (42) aDimensionOf0(xs) = all_0_3_3 % 31.78/9.06 | (43) ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtlseqdt0(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : (sdtlseqdt0(v1, v0) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0)))) % 31.78/9.06 | (44) smndt0(sz0z00) = all_0_4_4 % 31.78/9.06 | (45) ~ (all_0_3_3 = sz00) % 31.78/9.06 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (sdtlseqdt0(v4, v5) = v6) | ~ (sdtasdt0(v1, v3) = v5) | ~ (sdtasdt0(v0, v2) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (sdtlseqdt0(v2, v3) = v13 & sdtlseqdt0(v0, v1) = v11 & sdtlseqdt0(sz0z00, v2) = v12 & aScalar0(v3) = v10 & aScalar0(v2) = v9 & aScalar0(v1) = v8 & aScalar0(v0) = v7 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)))) % 31.78/9.06 | (47) aVector0(xt) = 0 % 31.78/9.06 | (48) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) % 31.78/9.06 | (49) sdtasdt0(xE, xE) = all_0_2_2 % 31.78/9.06 | (50) aScalar0(sz0z00) = 0 % 31.78/9.06 | (51) ! [v0] : ! [v1] : ! [v2] : ( ~ (smndt0(v0) = v1) | ~ (sdtpldt0(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (smndt0(v1) = v9 & sdtasdt0(v0, sz0z00) = v6 & sdtasdt0(sz0z00, v0) = v7 & sdtpldt0(v0, v1) = v8 & sdtpldt0(v0, sz0z00) = v4 & sdtpldt0(sz0z00, v0) = v5 & aScalar0(v0) = v3 & ( ~ (v3 = 0) | (v9 = v0 & v8 = sz0z00 & v7 = sz0z00 & v6 = sz0z00 & v5 = v0 & v4 = v0 & v2 = sz0z00 & all_0_4_4 = sz0z00)))) % 31.78/9.07 | (52) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0)) % 31.78/9.07 | (53) sdtasdt0(xF, xD) = xS % 31.78/9.07 | (54) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) % 31.78/9.07 | (55) ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtlseqdt0(sz0z00, v1) = 0) | ~ (sdtlseqdt0(sz0z00, v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtasdt0(v1, v1) = v5 & sdtasdt0(v0, v0) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v5 = v4) | ~ (v3 = 0) | ~ (v2 = 0)))) % 31.78/9.07 | (56) ! [v0] : (v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ? [v1] : (szszuzczcdt0(v1) = v0 & aNaturalNumber0(v1) = 0)) % 31.78/9.07 | (57) sdtasasdt0(xp, xq) = xE % 31.78/9.07 | (58) aScalar0(xF) = 0 % 31.78/9.07 | (59) ! [v0] : ! [v1] : ( ~ (sdtlseqdt0(sz0z00, v1) = 0) | ~ (sdtlseqdt0(sz0z00, v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (sdtlseqdt0(sz0z00, v6) = v7 & sdtlseqdt0(sz0z00, v4) = v5 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v0, v1) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | (v7 = 0 & v5 = 0)))) % 31.78/9.07 | (60) aScalar0(xS) = 0 % 31.78/9.07 | (61) ! [v0] : ! [v1] : (v1 = 0 | ~ (sdtlseqdt0(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aScalar0(v0) = v2)) % 31.78/9.07 | (62) sdtasdt0(xE, xH) = xP % 31.78/9.07 | (63) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v2 = sz00 | ~ (sdtasasdt0(v3, v4) = v5) | ~ (sziznziztdt0(v1) = v4) | ~ (sziznziztdt0(v0) = v3) | ~ (sdtlbdtrb0(v1, v2) = v7) | ~ (sdtlbdtrb0(v0, v2) = v6) | ~ (aDimensionOf0(v1) = v2) | ~ (aDimensionOf0(v0) = v2) | ~ (sdtasdt0(v6, v7) = v8) | ~ (sdtpldt0(v5, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : (sdtasasdt0(v0, v1) = v12 & aVector0(v1) = v11 & aVector0(v0) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 = v9))) % 31.78/9.07 | (64) ! [v0] : ( ~ (aVector0(v0) = 0) | ? [v1] : (aDimensionOf0(v0) = v1 & aNaturalNumber0(v1) = 0)) % 31.78/9.07 | (65) aScalar0(xD) = 0 % 31.78/9.07 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (smndt0(v1) = v3) | ~ (smndt0(v0) = v2) | ~ (sdtasdt0(v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : (sdtasdt0(v0, v1) = v7 & aScalar0(v1) = v6 & aScalar0(v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = v4))) % 31.78/9.07 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0)) % 31.78/9.07 | (68) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (sdtlseqdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(v1, v0) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) % 31.78/9.07 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0)) % 31.78/9.07 | (70) sdtasasdt0(xq, xq) = xD % 31.78/9.07 | (71) ! [v0] : ! [v1] : ! [v2] : (v2 = sz0z00 | ~ (sdtasasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (aVector0(v1) = v4 & aVector0(v0) = v3 & aDimensionOf0(v1) = v6 & aDimensionOf0(v0) = v5 & ( ~ (v6 = sz00) | ~ (v5 = sz00) | ~ (v4 = 0) | ~ (v3 = 0)))) % 31.78/9.07 | (72) aScalar0(xH) = 0 % 31.78/9.07 | (73) sdtasdt0(xC, xD) = all_0_1_1 % 31.78/9.07 | (74) sziznziztdt0(xt) = xq % 31.78/9.07 | (75) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) % 31.78/9.07 | (76) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v1) = v2) | ~ (szszuzczcdt0(v0) = v2) | ? [v3] : ? [v4] : (aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) % 31.78/9.07 | (77) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sziznziztdt0(v2) = v1) | ~ (sziznziztdt0(v2) = v0)) % 31.78/9.07 | (78) aScalar0(xP) = 0 % 31.78/9.07 | (79) sdtlseqdt0(all_0_2_2, all_0_1_1) = all_0_0_0 % 31.78/9.07 | (80) aScalar0(xA) = 0 % 31.78/9.07 | (81) sdtasdt0(xA, xA) = xF % 31.78/9.07 | (82) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sziznziztdt0(v1) = v3) | ~ (sziznziztdt0(v0) = v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (aVector0(v1) = v5 & aVector0(v0) = v4 & aDimensionOf0(v3) = v9 & aDimensionOf0(v2) = v8 & aDimensionOf0(v1) = v7 & aDimensionOf0(v0) = v6 & ( ~ (v7 = v6) | ~ (v5 = 0) | ~ (v4 = 0) | v9 = v8 | v6 = sz00))) % 31.78/9.07 | (83) aScalar0(xC) = 0 % 31.78/9.07 | (84) sziznziztdt0(xs) = xp % 31.78/9.07 | (85) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aVector0(v0) = v3 & aScalar0(v2) = v5 & aNaturalNumber0(v1) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) % 31.78/9.07 | % 31.78/9.07 | Instantiating formula (41) with xD, xq and discharging atoms sdtasasdt0(xq, xq) = xD, yields: % 31.78/9.08 | (86) ? [v0] : ? [v1] : (aVector0(xq) = v0 & sdtlseqdt0(sz0z00, xD) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 31.78/9.08 | % 31.78/9.08 | Instantiating formula (2) with xD, xq, xq and discharging atoms sdtasasdt0(xq, xq) = xD, yields: % 31.78/9.08 | (87) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (aVector0(xq) = v1 & aVector0(xq) = v0 & aDimensionOf0(xq) = v3 & aDimensionOf0(xq) = v2 & aScalar0(xD) = v4 & ( ~ (v3 = v2) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0)) % 31.78/9.08 | % 31.78/9.08 | Instantiating formula (2) with xE, xq, xp and discharging atoms sdtasasdt0(xp, xq) = xE, yields: % 31.78/9.08 | (88) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (aVector0(xq) = v1 & aVector0(xp) = v0 & aDimensionOf0(xq) = v3 & aDimensionOf0(xp) = v2 & aScalar0(xE) = v4 & ( ~ (v3 = v2) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0)) % 31.78/9.08 | % 31.78/9.08 | Instantiating formula (2) with xC, xp, xp and discharging atoms sdtasasdt0(xp, xp) = xC, yields: % 31.78/9.08 | (89) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (aVector0(xp) = v1 & aVector0(xp) = v0 & aDimensionOf0(xp) = v3 & aDimensionOf0(xp) = v2 & aScalar0(xC) = v4 & ( ~ (v3 = v2) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0)) % 31.78/9.08 | % 31.78/9.08 | Instantiating formula (82) with xq, xq, xt, xt and discharging atoms sziznziztdt0(xt) = xq, yields: % 31.78/9.08 | (90) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (aVector0(xt) = v1 & aVector0(xt) = v0 & aDimensionOf0(xq) = v5 & aDimensionOf0(xq) = v4 & aDimensionOf0(xt) = v3 & aDimensionOf0(xt) = v2 & ( ~ (v3 = v2) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = v4 | v2 = sz00)) % 31.78/9.08 | % 31.78/9.08 | Instantiating formula (40) with xq, xt and discharging atoms sziznziztdt0(xt) = xq, yields: % 31.78/9.08 | (91) ? [v0] : ? [v1] : (aVector0(xt) = v0 & aDimensionOf0(xt) = v1 & ( ~ (v0 = 0) | v1 = sz00 | ( ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtlbdtrb0(xt, v3) = v4) | ~ (aVector0(xq) = v2) | ? [v5] : ? [v6] : (sdtlbdtrb0(xq, v3) = v6 & aNaturalNumber0(v3) = v5 & ( ~ (v5 = 0) | v6 = v4))) & ! [v2] : (v2 = xq | ~ (aVector0(v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v4 = 0 & ~ (v6 = v5) & sdtlbdtrb0(v2, v3) = v5 & sdtlbdtrb0(xt, v3) = v6 & aNaturalNumber0(v3) = 0) | ( ~ (v4 = v1) & aDimensionOf0(v2) = v3 & szszuzczcdt0(v3) = v4))) & ! [v2] : (v2 = 0 | ~ (aVector0(xq) = v2)) & ! [v2] : ( ~ (aVector0(xq) = v2) | ? [v3] : (aDimensionOf0(xq) = v3 & szszuzczcdt0(v3) = v1))))) % 31.78/9.08 | % 31.78/9.08 | Instantiating formula (82) with xp, xq, xs, xt and discharging atoms sziznziztdt0(xt) = xq, sziznziztdt0(xs) = xp, yields: % 31.78/9.08 | (92) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (aVector0(xt) = v0 & aVector0(xs) = v1 & aDimensionOf0(xq) = v4 & aDimensionOf0(xp) = v5 & aDimensionOf0(xt) = v2 & aDimensionOf0(xs) = v3 & ( ~ (v3 = v2) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = v4 | v2 = sz00)) % 31.78/9.08 | % 31.78/9.08 | Instantiating formula (82) with xq, xp, xt, xs and discharging atoms sziznziztdt0(xt) = xq, sziznziztdt0(xs) = xp, yields: % 31.78/9.08 | (93) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (aVector0(xt) = v1 & aVector0(xs) = v0 & aDimensionOf0(xq) = v5 & aDimensionOf0(xp) = v4 & aDimensionOf0(xt) = v3 & aDimensionOf0(xs) = v2 & ( ~ (v3 = v2) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = v4 | v2 = sz00)) % 31.78/9.08 | % 31.78/9.08 | Instantiating formula (82) with xp, xp, xs, xs and discharging atoms sziznziztdt0(xs) = xp, yields: % 31.78/9.08 | (94) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (aVector0(xs) = v1 & aVector0(xs) = v0 & aDimensionOf0(xp) = v5 & aDimensionOf0(xp) = v4 & aDimensionOf0(xs) = v3 & aDimensionOf0(xs) = v2 & ( ~ (v3 = v2) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = v4 | v2 = sz00)) % 31.78/9.08 | % 31.78/9.08 | Instantiating formula (40) with xp, xs and discharging atoms sziznziztdt0(xs) = xp, yields: % 31.78/9.08 | (95) ? [v0] : ? [v1] : (aVector0(xs) = v0 & aDimensionOf0(xs) = v1 & ( ~ (v0 = 0) | v1 = sz00 | ( ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtlbdtrb0(xs, v3) = v4) | ~ (aVector0(xp) = v2) | ? [v5] : ? [v6] : (sdtlbdtrb0(xp, v3) = v6 & aNaturalNumber0(v3) = v5 & ( ~ (v5 = 0) | v6 = v4))) & ! [v2] : (v2 = xp | ~ (aVector0(v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v4 = 0 & ~ (v6 = v5) & sdtlbdtrb0(v2, v3) = v5 & sdtlbdtrb0(xs, v3) = v6 & aNaturalNumber0(v3) = 0) | ( ~ (v4 = v1) & aDimensionOf0(v2) = v3 & szszuzczcdt0(v3) = v4))) & ! [v2] : (v2 = 0 | ~ (aVector0(xp) = v2)) & ! [v2] : ( ~ (aVector0(xp) = v2) | ? [v3] : (aDimensionOf0(xp) = v3 & szszuzczcdt0(v3) = v1))))) % 31.78/9.08 | % 31.78/9.08 | Instantiating formula (85) with xA, all_0_3_3, xs and discharging atoms sdtlbdtrb0(xs, all_0_3_3) = xA, yields: % 31.78/9.08 | (96) ? [v0] : ? [v1] : ? [v2] : (aVector0(xs) = v0 & aScalar0(xA) = v2 & aNaturalNumber0(all_0_3_3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 31.78/9.08 | % 31.78/9.08 | Instantiating formula (64) with xq and discharging atoms aVector0(xq) = 0, yields: % 31.78/9.08 | (97) ? [v0] : (aDimensionOf0(xq) = v0 & aNaturalNumber0(v0) = 0) % 31.78/9.08 | % 31.78/9.08 | Instantiating formula (64) with xp and discharging atoms aVector0(xp) = 0, yields: % 31.78/9.08 | (98) ? [v0] : (aDimensionOf0(xp) = v0 & aNaturalNumber0(v0) = 0) % 31.78/9.08 | % 31.78/9.08 | Instantiating formula (64) with xt and discharging atoms aVector0(xt) = 0, yields: % 31.78/9.08 | (99) ? [v0] : (aDimensionOf0(xt) = v0 & aNaturalNumber0(v0) = 0) % 31.78/9.08 | % 31.78/9.08 | Instantiating formula (64) with xs and discharging atoms aVector0(xs) = 0, yields: % 31.78/9.08 | (100) ? [v0] : (aDimensionOf0(xs) = v0 & aNaturalNumber0(v0) = 0) % 31.78/9.08 | % 31.78/9.08 | Instantiating formula (68) with all_0_0_0, all_0_1_1, all_0_2_2 and discharging atoms sdtlseqdt0(all_0_2_2, all_0_1_1) = all_0_0_0, yields: % 31.78/9.08 | (101) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_0_1_1, all_0_2_2) = v2 & aScalar0(all_0_1_1) = v1 & aScalar0(all_0_2_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 31.78/9.08 | % 31.78/9.08 | Instantiating formula (35) with all_0_0_0, all_0_1_1, xD, xC, all_0_2_2, xE, xq, xp and discharging atoms sdtasasdt0(xq, xq) = xD, sdtasasdt0(xp, xq) = xE, sdtasasdt0(xp, xp) = xC, sdtlseqdt0(all_0_2_2, all_0_1_1) = all_0_0_0, sdtasdt0(xE, xE) = all_0_2_2, sdtasdt0(xC, xD) = all_0_1_1, yields: % 31.78/9.08 | (102) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (aVector0(xq) = v1 & aVector0(xp) = v0 & aDimensionOf0(xq) = v3 & aDimensionOf0(xp) = v2 & iLess0(v2, all_0_3_3) = v4 & ( ~ (v4 = 0) | ~ (v3 = v2) | ~ (v1 = 0) | ~ (v0 = 0))) % 31.78/9.08 | % 31.78/9.08 | Instantiating formula (46) with all_0_0_0, all_0_1_1, all_0_2_2, xD, xE, xC, xE and discharging atoms sdtlseqdt0(all_0_2_2, all_0_1_1) = all_0_0_0, sdtasdt0(xE, xE) = all_0_2_2, sdtasdt0(xC, xD) = all_0_1_1, yields: % 31.78/9.09 | (103) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(xE, xD) = v6 & sdtlseqdt0(xE, xC) = v4 & sdtlseqdt0(sz0z00, xE) = v5 & aScalar0(xE) = v2 & aScalar0(xE) = v0 & aScalar0(xD) = v3 & aScalar0(xC) = v1 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 31.78/9.09 | % 31.78/9.09 | Instantiating (94) with all_16_0_15, all_16_1_16, all_16_2_17, all_16_3_18, all_16_4_19, all_16_5_20 yields: % 31.78/9.09 | (104) aVector0(xs) = all_16_4_19 & aVector0(xs) = all_16_5_20 & aDimensionOf0(xp) = all_16_0_15 & aDimensionOf0(xp) = all_16_1_16 & aDimensionOf0(xs) = all_16_2_17 & aDimensionOf0(xs) = all_16_3_18 & ( ~ (all_16_2_17 = all_16_3_18) | ~ (all_16_4_19 = 0) | ~ (all_16_5_20 = 0) | all_16_0_15 = all_16_1_16 | all_16_3_18 = sz00) % 31.78/9.09 | % 31.78/9.09 | Applying alpha-rule on (104) yields: % 31.78/9.09 | (105) ~ (all_16_2_17 = all_16_3_18) | ~ (all_16_4_19 = 0) | ~ (all_16_5_20 = 0) | all_16_0_15 = all_16_1_16 | all_16_3_18 = sz00 % 31.78/9.09 | (106) aDimensionOf0(xp) = all_16_0_15 % 31.78/9.09 | (107) aDimensionOf0(xs) = all_16_3_18 % 31.78/9.09 | (108) aDimensionOf0(xp) = all_16_1_16 % 31.78/9.09 | (109) aVector0(xs) = all_16_4_19 % 31.78/9.09 | (110) aVector0(xs) = all_16_5_20 % 31.78/9.09 | (111) aDimensionOf0(xs) = all_16_2_17 % 31.78/9.09 | % 31.78/9.09 | Instantiating (88) with all_20_0_23, all_20_1_24, all_20_2_25, all_20_3_26, all_20_4_27 yields: % 31.78/9.09 | (112) aVector0(xq) = all_20_3_26 & aVector0(xp) = all_20_4_27 & aDimensionOf0(xq) = all_20_1_24 & aDimensionOf0(xp) = all_20_2_25 & aScalar0(xE) = all_20_0_23 & ( ~ (all_20_1_24 = all_20_2_25) | ~ (all_20_3_26 = 0) | ~ (all_20_4_27 = 0) | all_20_0_23 = 0) % 31.78/9.09 | % 31.78/9.09 | Applying alpha-rule on (112) yields: % 31.78/9.09 | (113) aVector0(xp) = all_20_4_27 % 31.78/9.09 | (114) ~ (all_20_1_24 = all_20_2_25) | ~ (all_20_3_26 = 0) | ~ (all_20_4_27 = 0) | all_20_0_23 = 0 % 31.78/9.09 | (115) aScalar0(xE) = all_20_0_23 % 31.78/9.09 | (116) aDimensionOf0(xp) = all_20_2_25 % 31.78/9.09 | (117) aDimensionOf0(xq) = all_20_1_24 % 31.78/9.09 | (118) aVector0(xq) = all_20_3_26 % 31.78/9.09 | % 31.78/9.09 | Instantiating (87) with all_22_0_28, all_22_1_29, all_22_2_30, all_22_3_31, all_22_4_32 yields: % 31.78/9.09 | (119) aVector0(xq) = all_22_3_31 & aVector0(xq) = all_22_4_32 & aDimensionOf0(xq) = all_22_1_29 & aDimensionOf0(xq) = all_22_2_30 & aScalar0(xD) = all_22_0_28 & ( ~ (all_22_1_29 = all_22_2_30) | ~ (all_22_3_31 = 0) | ~ (all_22_4_32 = 0) | all_22_0_28 = 0) % 31.78/9.09 | % 31.78/9.09 | Applying alpha-rule on (119) yields: % 31.78/9.09 | (120) aVector0(xq) = all_22_3_31 % 31.78/9.09 | (121) ~ (all_22_1_29 = all_22_2_30) | ~ (all_22_3_31 = 0) | ~ (all_22_4_32 = 0) | all_22_0_28 = 0 % 31.78/9.09 | (122) aDimensionOf0(xq) = all_22_1_29 % 31.78/9.09 | (123) aScalar0(xD) = all_22_0_28 % 31.78/9.09 | (124) aDimensionOf0(xq) = all_22_2_30 % 31.78/9.09 | (125) aVector0(xq) = all_22_4_32 % 31.78/9.09 | % 31.78/9.09 | Instantiating (86) with all_24_0_33, all_24_1_34 yields: % 31.78/9.09 | (126) aVector0(xq) = all_24_1_34 & sdtlseqdt0(sz0z00, xD) = all_24_0_33 & ( ~ (all_24_1_34 = 0) | all_24_0_33 = 0) % 31.78/9.09 | % 31.78/9.09 | Applying alpha-rule on (126) yields: % 31.78/9.09 | (127) aVector0(xq) = all_24_1_34 % 31.78/9.09 | (128) sdtlseqdt0(sz0z00, xD) = all_24_0_33 % 31.78/9.09 | (129) ~ (all_24_1_34 = 0) | all_24_0_33 = 0 % 31.78/9.09 | % 31.78/9.09 | Instantiating (93) with all_26_0_35, all_26_1_36, all_26_2_37, all_26_3_38, all_26_4_39, all_26_5_40 yields: % 31.78/9.09 | (130) aVector0(xt) = all_26_4_39 & aVector0(xs) = all_26_5_40 & aDimensionOf0(xq) = all_26_0_35 & aDimensionOf0(xp) = all_26_1_36 & aDimensionOf0(xt) = all_26_2_37 & aDimensionOf0(xs) = all_26_3_38 & ( ~ (all_26_2_37 = all_26_3_38) | ~ (all_26_4_39 = 0) | ~ (all_26_5_40 = 0) | all_26_0_35 = all_26_1_36 | all_26_3_38 = sz00) % 31.78/9.09 | % 31.78/9.09 | Applying alpha-rule on (130) yields: % 31.78/9.09 | (131) aDimensionOf0(xq) = all_26_0_35 % 31.78/9.09 | (132) aVector0(xs) = all_26_5_40 % 31.78/9.09 | (133) aDimensionOf0(xp) = all_26_1_36 % 31.78/9.09 | (134) aDimensionOf0(xt) = all_26_2_37 % 31.78/9.09 | (135) aDimensionOf0(xs) = all_26_3_38 % 31.78/9.09 | (136) ~ (all_26_2_37 = all_26_3_38) | ~ (all_26_4_39 = 0) | ~ (all_26_5_40 = 0) | all_26_0_35 = all_26_1_36 | all_26_3_38 = sz00 % 31.78/9.09 | (137) aVector0(xt) = all_26_4_39 % 31.78/9.09 | % 31.78/9.09 | Instantiating (95) with all_28_0_41, all_28_1_42 yields: % 31.78/9.09 | (138) aVector0(xs) = all_28_1_42 & aDimensionOf0(xs) = all_28_0_41 & ( ~ (all_28_1_42 = 0) | all_28_0_41 = sz00 | ( ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(xs, v1) = v2) | ~ (aVector0(xp) = v0) | ? [v3] : ? [v4] : (sdtlbdtrb0(xp, v1) = v4 & aNaturalNumber0(v1) = v3 & ( ~ (v3 = 0) | v4 = v2))) & ! [v0] : (v0 = xp | ~ (aVector0(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ((v2 = 0 & ~ (v4 = v3) & sdtlbdtrb0(v0, v1) = v3 & sdtlbdtrb0(xs, v1) = v4 & aNaturalNumber0(v1) = 0) | ( ~ (v2 = all_28_0_41) & aDimensionOf0(v0) = v1 & szszuzczcdt0(v1) = v2))) & ! [v0] : (v0 = 0 | ~ (aVector0(xp) = v0)) & ! [v0] : ( ~ (aVector0(xp) = v0) | ? [v1] : (aDimensionOf0(xp) = v1 & szszuzczcdt0(v1) = all_28_0_41)))) % 31.78/9.09 | % 31.78/9.09 | Applying alpha-rule on (138) yields: % 31.78/9.09 | (139) aVector0(xs) = all_28_1_42 % 31.78/9.09 | (140) aDimensionOf0(xs) = all_28_0_41 % 31.78/9.09 | (141) ~ (all_28_1_42 = 0) | all_28_0_41 = sz00 | ( ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(xs, v1) = v2) | ~ (aVector0(xp) = v0) | ? [v3] : ? [v4] : (sdtlbdtrb0(xp, v1) = v4 & aNaturalNumber0(v1) = v3 & ( ~ (v3 = 0) | v4 = v2))) & ! [v0] : (v0 = xp | ~ (aVector0(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ((v2 = 0 & ~ (v4 = v3) & sdtlbdtrb0(v0, v1) = v3 & sdtlbdtrb0(xs, v1) = v4 & aNaturalNumber0(v1) = 0) | ( ~ (v2 = all_28_0_41) & aDimensionOf0(v0) = v1 & szszuzczcdt0(v1) = v2))) & ! [v0] : (v0 = 0 | ~ (aVector0(xp) = v0)) & ! [v0] : ( ~ (aVector0(xp) = v0) | ? [v1] : (aDimensionOf0(xp) = v1 & szszuzczcdt0(v1) = all_28_0_41))) % 31.78/9.09 | % 31.78/9.09 | Instantiating (92) with all_30_0_43, all_30_1_44, all_30_2_45, all_30_3_46, all_30_4_47, all_30_5_48 yields: % 31.78/9.09 | (142) aVector0(xt) = all_30_5_48 & aVector0(xs) = all_30_4_47 & aDimensionOf0(xq) = all_30_1_44 & aDimensionOf0(xp) = all_30_0_43 & aDimensionOf0(xt) = all_30_3_46 & aDimensionOf0(xs) = all_30_2_45 & ( ~ (all_30_2_45 = all_30_3_46) | ~ (all_30_4_47 = 0) | ~ (all_30_5_48 = 0) | all_30_0_43 = all_30_1_44 | all_30_3_46 = sz00) % 31.78/9.09 | % 31.78/9.09 | Applying alpha-rule on (142) yields: % 31.78/9.09 | (143) aDimensionOf0(xs) = all_30_2_45 % 31.78/9.09 | (144) aVector0(xt) = all_30_5_48 % 31.78/9.09 | (145) aDimensionOf0(xp) = all_30_0_43 % 31.78/9.09 | (146) aDimensionOf0(xt) = all_30_3_46 % 31.78/9.09 | (147) ~ (all_30_2_45 = all_30_3_46) | ~ (all_30_4_47 = 0) | ~ (all_30_5_48 = 0) | all_30_0_43 = all_30_1_44 | all_30_3_46 = sz00 % 31.78/9.10 | (148) aDimensionOf0(xq) = all_30_1_44 % 31.78/9.10 | (149) aVector0(xs) = all_30_4_47 % 31.78/9.10 | % 31.78/9.10 | Instantiating (91) with all_32_0_49, all_32_1_50 yields: % 31.78/9.10 | (150) aVector0(xt) = all_32_1_50 & aDimensionOf0(xt) = all_32_0_49 & ( ~ (all_32_1_50 = 0) | all_32_0_49 = sz00 | ( ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(xt, v1) = v2) | ~ (aVector0(xq) = v0) | ? [v3] : ? [v4] : (sdtlbdtrb0(xq, v1) = v4 & aNaturalNumber0(v1) = v3 & ( ~ (v3 = 0) | v4 = v2))) & ! [v0] : (v0 = xq | ~ (aVector0(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ((v2 = 0 & ~ (v4 = v3) & sdtlbdtrb0(v0, v1) = v3 & sdtlbdtrb0(xt, v1) = v4 & aNaturalNumber0(v1) = 0) | ( ~ (v2 = all_32_0_49) & aDimensionOf0(v0) = v1 & szszuzczcdt0(v1) = v2))) & ! [v0] : (v0 = 0 | ~ (aVector0(xq) = v0)) & ! [v0] : ( ~ (aVector0(xq) = v0) | ? [v1] : (aDimensionOf0(xq) = v1 & szszuzczcdt0(v1) = all_32_0_49)))) % 31.78/9.10 | % 31.78/9.10 | Applying alpha-rule on (150) yields: % 31.78/9.10 | (151) aVector0(xt) = all_32_1_50 % 31.78/9.10 | (152) aDimensionOf0(xt) = all_32_0_49 % 31.78/9.10 | (153) ~ (all_32_1_50 = 0) | all_32_0_49 = sz00 | ( ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(xt, v1) = v2) | ~ (aVector0(xq) = v0) | ? [v3] : ? [v4] : (sdtlbdtrb0(xq, v1) = v4 & aNaturalNumber0(v1) = v3 & ( ~ (v3 = 0) | v4 = v2))) & ! [v0] : (v0 = xq | ~ (aVector0(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ((v2 = 0 & ~ (v4 = v3) & sdtlbdtrb0(v0, v1) = v3 & sdtlbdtrb0(xt, v1) = v4 & aNaturalNumber0(v1) = 0) | ( ~ (v2 = all_32_0_49) & aDimensionOf0(v0) = v1 & szszuzczcdt0(v1) = v2))) & ! [v0] : (v0 = 0 | ~ (aVector0(xq) = v0)) & ! [v0] : ( ~ (aVector0(xq) = v0) | ? [v1] : (aDimensionOf0(xq) = v1 & szszuzczcdt0(v1) = all_32_0_49))) % 31.78/9.10 | % 31.78/9.10 | Instantiating (100) with all_36_0_53 yields: % 31.78/9.10 | (154) aDimensionOf0(xs) = all_36_0_53 & aNaturalNumber0(all_36_0_53) = 0 % 31.78/9.10 | % 31.78/9.10 | Applying alpha-rule on (154) yields: % 31.78/9.10 | (155) aDimensionOf0(xs) = all_36_0_53 % 31.78/9.10 | (156) aNaturalNumber0(all_36_0_53) = 0 % 31.78/9.10 | % 31.78/9.10 | Instantiating (99) with all_40_0_56 yields: % 31.78/9.10 | (157) aDimensionOf0(xt) = all_40_0_56 & aNaturalNumber0(all_40_0_56) = 0 % 31.78/9.10 | % 31.78/9.10 | Applying alpha-rule on (157) yields: % 31.78/9.10 | (158) aDimensionOf0(xt) = all_40_0_56 % 31.78/9.10 | (159) aNaturalNumber0(all_40_0_56) = 0 % 31.78/9.10 | % 31.78/9.10 | Instantiating (97) with all_42_0_57 yields: % 31.78/9.10 | (160) aDimensionOf0(xq) = all_42_0_57 & aNaturalNumber0(all_42_0_57) = 0 % 31.78/9.10 | % 31.78/9.10 | Applying alpha-rule on (160) yields: % 31.78/9.10 | (161) aDimensionOf0(xq) = all_42_0_57 % 31.78/9.10 | (162) aNaturalNumber0(all_42_0_57) = 0 % 31.78/9.10 | % 31.78/9.10 | Instantiating (96) with all_44_0_58, all_44_1_59, all_44_2_60 yields: % 31.78/9.10 | (163) aVector0(xs) = all_44_2_60 & aScalar0(xA) = all_44_0_58 & aNaturalNumber0(all_0_3_3) = all_44_1_59 & ( ~ (all_44_1_59 = 0) | ~ (all_44_2_60 = 0) | all_44_0_58 = 0) % 31.78/9.10 | % 31.78/9.10 | Applying alpha-rule on (163) yields: % 31.78/9.10 | (164) aVector0(xs) = all_44_2_60 % 31.78/9.10 | (165) aScalar0(xA) = all_44_0_58 % 31.78/9.10 | (166) aNaturalNumber0(all_0_3_3) = all_44_1_59 % 31.78/9.10 | (167) ~ (all_44_1_59 = 0) | ~ (all_44_2_60 = 0) | all_44_0_58 = 0 % 31.78/9.10 | % 31.78/9.10 | Instantiating (98) with all_48_0_64 yields: % 31.78/9.10 | (168) aDimensionOf0(xp) = all_48_0_64 & aNaturalNumber0(all_48_0_64) = 0 % 31.78/9.10 | % 31.78/9.10 | Applying alpha-rule on (168) yields: % 31.78/9.10 | (169) aDimensionOf0(xp) = all_48_0_64 % 31.78/9.10 | (170) aNaturalNumber0(all_48_0_64) = 0 % 31.78/9.10 | % 31.78/9.10 | Instantiating (90) with all_50_0_65, all_50_1_66, all_50_2_67, all_50_3_68, all_50_4_69, all_50_5_70 yields: % 31.78/9.10 | (171) aVector0(xt) = all_50_4_69 & aVector0(xt) = all_50_5_70 & aDimensionOf0(xq) = all_50_0_65 & aDimensionOf0(xq) = all_50_1_66 & aDimensionOf0(xt) = all_50_2_67 & aDimensionOf0(xt) = all_50_3_68 & ( ~ (all_50_2_67 = all_50_3_68) | ~ (all_50_4_69 = 0) | ~ (all_50_5_70 = 0) | all_50_0_65 = all_50_1_66 | all_50_3_68 = sz00) % 31.78/9.10 | % 31.78/9.10 | Applying alpha-rule on (171) yields: % 31.78/9.10 | (172) aVector0(xt) = all_50_4_69 % 31.78/9.10 | (173) aDimensionOf0(xq) = all_50_0_65 % 31.78/9.10 | (174) aDimensionOf0(xt) = all_50_3_68 % 31.78/9.10 | (175) ~ (all_50_2_67 = all_50_3_68) | ~ (all_50_4_69 = 0) | ~ (all_50_5_70 = 0) | all_50_0_65 = all_50_1_66 | all_50_3_68 = sz00 % 31.78/9.10 | (176) aDimensionOf0(xq) = all_50_1_66 % 31.78/9.10 | (177) aDimensionOf0(xt) = all_50_2_67 % 31.78/9.10 | (178) aVector0(xt) = all_50_5_70 % 31.78/9.10 | % 31.78/9.10 | Instantiating (89) with all_52_0_71, all_52_1_72, all_52_2_73, all_52_3_74, all_52_4_75 yields: % 31.78/9.10 | (179) aVector0(xp) = all_52_3_74 & aVector0(xp) = all_52_4_75 & aDimensionOf0(xp) = all_52_1_72 & aDimensionOf0(xp) = all_52_2_73 & aScalar0(xC) = all_52_0_71 & ( ~ (all_52_1_72 = all_52_2_73) | ~ (all_52_3_74 = 0) | ~ (all_52_4_75 = 0) | all_52_0_71 = 0) % 31.78/9.10 | % 31.78/9.10 | Applying alpha-rule on (179) yields: % 31.78/9.10 | (180) aScalar0(xC) = all_52_0_71 % 31.78/9.10 | (181) aVector0(xp) = all_52_4_75 % 31.78/9.10 | (182) aDimensionOf0(xp) = all_52_1_72 % 31.78/9.10 | (183) aVector0(xp) = all_52_3_74 % 31.78/9.10 | (184) ~ (all_52_1_72 = all_52_2_73) | ~ (all_52_3_74 = 0) | ~ (all_52_4_75 = 0) | all_52_0_71 = 0 % 31.78/9.10 | (185) aDimensionOf0(xp) = all_52_2_73 % 31.78/9.10 | % 31.78/9.10 +-Applying beta-rule and splitting (101), into two cases. % 31.78/9.10 |-Branch one: % 31.78/9.10 | (186) all_0_0_0 = 0 % 31.78/9.10 | % 31.78/9.10 | Equations (186) can reduce 24 to: % 31.78/9.10 | (187) $false % 31.78/9.10 | % 31.78/9.10 |-The branch is then unsatisfiable % 31.78/9.10 |-Branch two: % 31.78/9.10 | (24) ~ (all_0_0_0 = 0) % 31.78/9.10 | (189) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_0_1_1, all_0_2_2) = v2 & aScalar0(all_0_1_1) = v1 & aScalar0(all_0_2_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 31.78/9.11 | % 31.78/9.11 +-Applying beta-rule and splitting (103), into two cases. % 31.78/9.11 |-Branch one: % 31.78/9.11 | (186) all_0_0_0 = 0 % 31.78/9.11 | % 31.78/9.11 | Equations (186) can reduce 24 to: % 31.78/9.11 | (187) $false % 31.78/9.11 | % 31.78/9.11 |-The branch is then unsatisfiable % 31.78/9.11 |-Branch two: % 31.78/9.11 | (24) ~ (all_0_0_0 = 0) % 31.78/9.11 | (193) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(xE, xD) = v6 & sdtlseqdt0(xE, xC) = v4 & sdtlseqdt0(sz0z00, xE) = v5 & aScalar0(xE) = v2 & aScalar0(xE) = v0 & aScalar0(xD) = v3 & aScalar0(xC) = v1 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 31.78/9.11 | % 31.78/9.11 +-Applying beta-rule and splitting (102), into two cases. % 31.78/9.11 |-Branch one: % 31.78/9.11 | (186) all_0_0_0 = 0 % 31.78/9.11 | % 31.78/9.11 | Equations (186) can reduce 24 to: % 31.78/9.11 | (187) $false % 31.78/9.11 | % 31.78/9.11 |-The branch is then unsatisfiable % 31.78/9.11 |-Branch two: % 31.78/9.11 | (24) ~ (all_0_0_0 = 0) % 31.78/9.11 | (197) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (aVector0(xq) = v1 & aVector0(xp) = v0 & aDimensionOf0(xq) = v3 & aDimensionOf0(xp) = v2 & iLess0(v2, all_0_3_3) = v4 & ( ~ (v4 = 0) | ~ (v3 = v2) | ~ (v1 = 0) | ~ (v0 = 0))) % 31.78/9.11 | % 31.78/9.11 | Instantiating (197) with all_68_0_86, all_68_1_87, all_68_2_88, all_68_3_89, all_68_4_90 yields: % 31.78/9.11 | (198) aVector0(xq) = all_68_3_89 & aVector0(xp) = all_68_4_90 & aDimensionOf0(xq) = all_68_1_87 & aDimensionOf0(xp) = all_68_2_88 & iLess0(all_68_2_88, all_0_3_3) = all_68_0_86 & ( ~ (all_68_0_86 = 0) | ~ (all_68_1_87 = all_68_2_88) | ~ (all_68_3_89 = 0) | ~ (all_68_4_90 = 0)) % 31.78/9.11 | % 31.78/9.11 | Applying alpha-rule on (198) yields: % 31.78/9.11 | (199) iLess0(all_68_2_88, all_0_3_3) = all_68_0_86 % 31.78/9.11 | (200) aVector0(xq) = all_68_3_89 % 31.78/9.11 | (201) aDimensionOf0(xp) = all_68_2_88 % 31.78/9.11 | (202) aDimensionOf0(xq) = all_68_1_87 % 31.78/9.11 | (203) ~ (all_68_0_86 = 0) | ~ (all_68_1_87 = all_68_2_88) | ~ (all_68_3_89 = 0) | ~ (all_68_4_90 = 0) % 31.78/9.11 | (204) aVector0(xp) = all_68_4_90 % 31.78/9.11 | % 31.78/9.11 | Instantiating formula (8) with xq, all_24_1_34, all_68_3_89 and discharging atoms aVector0(xq) = all_68_3_89, aVector0(xq) = all_24_1_34, yields: % 31.78/9.11 | (205) all_68_3_89 = all_24_1_34 % 31.78/9.11 | % 31.78/9.11 | Instantiating formula (8) with xq, all_22_3_31, 0 and discharging atoms aVector0(xq) = all_22_3_31, aVector0(xq) = 0, yields: % 31.78/9.11 | (206) all_22_3_31 = 0 % 31.78/9.11 | % 31.78/9.11 | Instantiating formula (8) with xq, all_22_3_31, all_24_1_34 and discharging atoms aVector0(xq) = all_24_1_34, aVector0(xq) = all_22_3_31, yields: % 31.78/9.11 | (207) all_24_1_34 = all_22_3_31 % 31.78/9.11 | % 31.78/9.11 | Instantiating formula (8) with xq, all_22_4_32, all_68_3_89 and discharging atoms aVector0(xq) = all_68_3_89, aVector0(xq) = all_22_4_32, yields: % 31.78/9.11 | (208) all_68_3_89 = all_22_4_32 % 31.78/9.11 | % 31.78/9.11 | Instantiating formula (8) with xq, all_20_3_26, all_22_3_31 and discharging atoms aVector0(xq) = all_22_3_31, aVector0(xq) = all_20_3_26, yields: % 31.78/9.11 | (209) all_22_3_31 = all_20_3_26 % 31.78/9.11 | % 31.78/9.11 | Instantiating formula (8) with xp, all_52_3_74, 0 and discharging atoms aVector0(xp) = all_52_3_74, aVector0(xp) = 0, yields: % 31.78/9.11 | (210) all_52_3_74 = 0 % 31.78/9.11 | % 31.78/9.11 | Instantiating formula (8) with xp, all_52_3_74, all_68_4_90 and discharging atoms aVector0(xp) = all_68_4_90, aVector0(xp) = all_52_3_74, yields: % 31.78/9.11 | (211) all_68_4_90 = all_52_3_74 % 31.78/9.11 | % 31.78/9.11 | Instantiating formula (8) with xp, all_52_4_75, all_68_4_90 and discharging atoms aVector0(xp) = all_68_4_90, aVector0(xp) = all_52_4_75, yields: % 31.78/9.11 | (212) all_68_4_90 = all_52_4_75 % 31.78/9.11 | % 31.78/9.11 | Instantiating formula (8) with xp, all_20_4_27, all_68_4_90 and discharging atoms aVector0(xp) = all_68_4_90, aVector0(xp) = all_20_4_27, yields: % 31.78/9.11 | (213) all_68_4_90 = all_20_4_27 % 31.78/9.11 | % 31.78/9.11 | Instantiating formula (8) with xt, all_50_4_69, 0 and discharging atoms aVector0(xt) = all_50_4_69, aVector0(xt) = 0, yields: % 31.78/9.11 | (214) all_50_4_69 = 0 % 31.78/9.11 | % 31.78/9.11 | Instantiating formula (8) with xt, all_50_5_70, all_50_4_69 and discharging atoms aVector0(xt) = all_50_4_69, aVector0(xt) = all_50_5_70, yields: % 31.78/9.11 | (215) all_50_4_69 = all_50_5_70 % 31.78/9.11 | % 31.78/9.11 | Instantiating formula (8) with xt, all_32_1_50, all_50_5_70 and discharging atoms aVector0(xt) = all_50_5_70, aVector0(xt) = all_32_1_50, yields: % 32.15/9.11 | (216) all_50_5_70 = all_32_1_50 % 32.15/9.11 | % 32.15/9.11 | Instantiating formula (8) with xt, all_26_4_39, all_50_5_70 and discharging atoms aVector0(xt) = all_50_5_70, aVector0(xt) = all_26_4_39, yields: % 32.15/9.11 | (217) all_50_5_70 = all_26_4_39 % 32.15/9.11 | % 32.15/9.11 | Instantiating formula (8) with xs, all_44_2_60, 0 and discharging atoms aVector0(xs) = all_44_2_60, aVector0(xs) = 0, yields: % 32.15/9.11 | (218) all_44_2_60 = 0 % 32.15/9.11 | % 32.15/9.11 | Instantiating formula (8) with xs, all_30_4_47, all_44_2_60 and discharging atoms aVector0(xs) = all_44_2_60, aVector0(xs) = all_30_4_47, yields: % 32.15/9.11 | (219) all_44_2_60 = all_30_4_47 % 32.15/9.11 | % 32.15/9.11 | Instantiating formula (8) with xs, all_28_1_42, all_44_2_60 and discharging atoms aVector0(xs) = all_44_2_60, aVector0(xs) = all_28_1_42, yields: % 32.15/9.11 | (220) all_44_2_60 = all_28_1_42 % 32.15/9.11 | % 32.15/9.11 | Instantiating formula (8) with xs, all_26_5_40, all_28_1_42 and discharging atoms aVector0(xs) = all_28_1_42, aVector0(xs) = all_26_5_40, yields: % 32.15/9.11 | (221) all_28_1_42 = all_26_5_40 % 32.15/9.11 | % 32.15/9.11 | Instantiating formula (17) with xq, all_50_1_66, all_50_0_65 and discharging atoms aDimensionOf0(xq) = all_50_0_65, aDimensionOf0(xq) = all_50_1_66, yields: % 32.15/9.11 | (222) all_50_0_65 = all_50_1_66 % 32.15/9.11 | % 32.15/9.11 | Instantiating formula (17) with xq, all_42_0_57, all_50_1_66 and discharging atoms aDimensionOf0(xq) = all_50_1_66, aDimensionOf0(xq) = all_42_0_57, yields: % 32.15/9.11 | (223) all_50_1_66 = all_42_0_57 % 32.15/9.11 | % 32.15/9.11 | Instantiating formula (17) with xq, all_30_1_44, all_68_1_87 and discharging atoms aDimensionOf0(xq) = all_68_1_87, aDimensionOf0(xq) = all_30_1_44, yields: % 32.15/9.11 | (224) all_68_1_87 = all_30_1_44 % 32.15/9.11 | % 32.15/9.11 | Instantiating formula (17) with xq, all_26_0_35, all_68_1_87 and discharging atoms aDimensionOf0(xq) = all_68_1_87, aDimensionOf0(xq) = all_26_0_35, yields: % 32.15/9.11 | (225) all_68_1_87 = all_26_0_35 % 32.15/9.11 | % 32.15/9.11 | Instantiating formula (17) with xq, all_26_0_35, all_42_0_57 and discharging atoms aDimensionOf0(xq) = all_42_0_57, aDimensionOf0(xq) = all_26_0_35, yields: % 32.15/9.11 | (226) all_42_0_57 = all_26_0_35 % 32.15/9.11 | % 32.15/9.11 | Instantiating formula (17) with xq, all_22_1_29, all_68_1_87 and discharging atoms aDimensionOf0(xq) = all_68_1_87, aDimensionOf0(xq) = all_22_1_29, yields: % 32.15/9.11 | (227) all_68_1_87 = all_22_1_29 % 32.15/9.11 | % 32.15/9.11 | Instantiating formula (17) with xq, all_22_2_30, all_30_1_44 and discharging atoms aDimensionOf0(xq) = all_30_1_44, aDimensionOf0(xq) = all_22_2_30, yields: % 32.15/9.11 | (228) all_30_1_44 = all_22_2_30 % 32.15/9.11 | % 32.15/9.11 | Instantiating formula (17) with xq, all_20_1_24, all_50_0_65 and discharging atoms aDimensionOf0(xq) = all_50_0_65, aDimensionOf0(xq) = all_20_1_24, yields: % 32.15/9.11 | (229) all_50_0_65 = all_20_1_24 % 32.15/9.11 | % 32.15/9.12 | Instantiating formula (17) with xp, all_52_2_73, all_68_2_88 and discharging atoms aDimensionOf0(xp) = all_68_2_88, aDimensionOf0(xp) = all_52_2_73, yields: % 32.15/9.12 | (230) all_68_2_88 = all_52_2_73 % 32.15/9.12 | % 32.15/9.12 | Instantiating formula (17) with xp, all_48_0_64, all_68_2_88 and discharging atoms aDimensionOf0(xp) = all_68_2_88, aDimensionOf0(xp) = all_48_0_64, yields: % 32.15/9.12 | (231) all_68_2_88 = all_48_0_64 % 32.15/9.12 | % 32.15/9.12 | Instantiating formula (17) with xp, all_48_0_64, all_52_1_72 and discharging atoms aDimensionOf0(xp) = all_52_1_72, aDimensionOf0(xp) = all_48_0_64, yields: % 32.15/9.12 | (232) all_52_1_72 = all_48_0_64 % 32.15/9.12 | % 32.15/9.12 | Instantiating formula (17) with xp, all_30_0_43, all_52_1_72 and discharging atoms aDimensionOf0(xp) = all_52_1_72, aDimensionOf0(xp) = all_30_0_43, yields: % 32.15/9.12 | (233) all_52_1_72 = all_30_0_43 % 32.15/9.12 | % 32.15/9.12 | Instantiating formula (17) with xp, all_26_1_36, all_48_0_64 and discharging atoms aDimensionOf0(xp) = all_48_0_64, aDimensionOf0(xp) = all_26_1_36, yields: % 32.15/9.12 | (234) all_48_0_64 = all_26_1_36 % 32.15/9.12 | % 32.15/9.12 | Instantiating formula (17) with xp, all_16_1_16, all_68_2_88 and discharging atoms aDimensionOf0(xp) = all_68_2_88, aDimensionOf0(xp) = all_16_1_16, yields: % 32.15/9.12 | (235) all_68_2_88 = all_16_1_16 % 32.15/9.12 | % 32.15/9.12 | Instantiating formula (17) with xt, all_40_0_56, all_0_3_3 and discharging atoms aDimensionOf0(xt) = all_40_0_56, aDimensionOf0(xt) = all_0_3_3, yields: % 32.15/9.12 | (236) all_40_0_56 = all_0_3_3 % 32.15/9.12 | % 32.15/9.12 | Instantiating formula (17) with xt, all_40_0_56, all_50_3_68 and discharging atoms aDimensionOf0(xt) = all_50_3_68, aDimensionOf0(xt) = all_40_0_56, yields: % 32.15/9.12 | (237) all_50_3_68 = all_40_0_56 % 32.15/9.12 | % 32.15/9.12 | Instantiating formula (17) with xt, all_32_0_49, all_50_3_68 and discharging atoms aDimensionOf0(xt) = all_50_3_68, aDimensionOf0(xt) = all_32_0_49, yields: % 32.15/9.12 | (238) all_50_3_68 = all_32_0_49 % 32.15/9.12 | % 32.15/9.12 | Instantiating formula (17) with xt, all_30_3_46, all_50_2_67 and discharging atoms aDimensionOf0(xt) = all_50_2_67, aDimensionOf0(xt) = all_30_3_46, yields: % 32.15/9.12 | (239) all_50_2_67 = all_30_3_46 % 32.15/9.12 | % 32.15/9.12 | Instantiating formula (17) with xt, all_30_3_46, all_40_0_56 and discharging atoms aDimensionOf0(xt) = all_40_0_56, aDimensionOf0(xt) = all_30_3_46, yields: % 32.15/9.12 | (240) all_40_0_56 = all_30_3_46 % 32.15/9.12 | % 32.15/9.12 | Instantiating formula (17) with xt, all_26_2_37, all_50_2_67 and discharging atoms aDimensionOf0(xt) = all_50_2_67, aDimensionOf0(xt) = all_26_2_37, yields: % 32.15/9.12 | (241) all_50_2_67 = all_26_2_37 % 32.15/9.12 | % 32.15/9.12 | Instantiating formula (17) with xs, all_30_2_45, all_36_0_53 and discharging atoms aDimensionOf0(xs) = all_36_0_53, aDimensionOf0(xs) = all_30_2_45, yields: % 32.15/9.12 | (242) all_36_0_53 = all_30_2_45 % 32.15/9.12 | % 32.15/9.12 | Instantiating formula (17) with xs, all_28_0_41, all_36_0_53 and discharging atoms aDimensionOf0(xs) = all_36_0_53, aDimensionOf0(xs) = all_28_0_41, yields: % 32.15/9.12 | (243) all_36_0_53 = all_28_0_41 % 32.15/9.12 | % 32.15/9.12 | Instantiating formula (17) with xs, all_26_3_38, all_36_0_53 and discharging atoms aDimensionOf0(xs) = all_36_0_53, aDimensionOf0(xs) = all_26_3_38, yields: % 32.15/9.12 | (244) all_36_0_53 = all_26_3_38 % 32.15/9.12 | % 32.15/9.12 | Instantiating formula (17) with xs, all_16_2_17, all_0_3_3 and discharging atoms aDimensionOf0(xs) = all_16_2_17, aDimensionOf0(xs) = all_0_3_3, yields: % 32.15/9.12 | (245) all_16_2_17 = all_0_3_3 % 32.15/9.12 | % 32.15/9.12 | Instantiating formula (17) with xs, all_16_2_17, all_26_3_38 and discharging atoms aDimensionOf0(xs) = all_26_3_38, aDimensionOf0(xs) = all_16_2_17, yields: % 32.15/9.12 | (246) all_26_3_38 = all_16_2_17 % 32.15/9.12 | % 32.15/9.12 | Instantiating formula (17) with xs, all_16_3_18, all_30_2_45 and discharging atoms aDimensionOf0(xs) = all_30_2_45, aDimensionOf0(xs) = all_16_3_18, yields: % 32.15/9.12 | (247) all_30_2_45 = all_16_3_18 % 32.15/9.12 | % 32.15/9.12 | Combining equations (224,227) yields a new equation: % 32.15/9.12 | (248) all_30_1_44 = all_22_1_29 % 32.15/9.12 | % 32.15/9.12 | Simplifying 248 yields: % 32.15/9.12 | (249) all_30_1_44 = all_22_1_29 % 32.15/9.12 | % 32.15/9.12 | Combining equations (225,227) yields a new equation: % 32.15/9.12 | (250) all_26_0_35 = all_22_1_29 % 32.15/9.12 | % 32.15/9.12 | Simplifying 250 yields: % 32.15/9.12 | (251) all_26_0_35 = all_22_1_29 % 32.15/9.12 | % 32.15/9.12 | Combining equations (231,230) yields a new equation: % 32.15/9.12 | (252) all_52_2_73 = all_48_0_64 % 32.15/9.12 | % 32.15/9.12 | Combining equations (235,230) yields a new equation: % 32.15/9.12 | (253) all_52_2_73 = all_16_1_16 % 32.15/9.12 | % 32.15/9.12 | Combining equations (205,208) yields a new equation: % 32.15/9.12 | (254) all_24_1_34 = all_22_4_32 % 32.15/9.12 | % 32.15/9.12 | Simplifying 254 yields: % 32.15/9.12 | (255) all_24_1_34 = all_22_4_32 % 32.15/9.12 | % 32.15/9.12 | Combining equations (213,212) yields a new equation: % 32.15/9.12 | (256) all_52_4_75 = all_20_4_27 % 32.15/9.12 | % 32.15/9.12 | Combining equations (211,212) yields a new equation: % 32.15/9.12 | (257) all_52_3_74 = all_52_4_75 % 32.15/9.12 | % 32.15/9.12 | Simplifying 257 yields: % 32.15/9.12 | (258) all_52_3_74 = all_52_4_75 % 32.15/9.12 | % 32.15/9.12 | Combining equations (232,233) yields a new equation: % 32.15/9.12 | (259) all_48_0_64 = all_30_0_43 % 32.15/9.12 | % 32.15/9.12 | Simplifying 259 yields: % 32.15/9.12 | (260) all_48_0_64 = all_30_0_43 % 32.15/9.12 | % 32.15/9.12 | Combining equations (252,253) yields a new equation: % 32.15/9.12 | (261) all_48_0_64 = all_16_1_16 % 32.15/9.12 | % 32.15/9.12 | Simplifying 261 yields: % 32.15/9.12 | (262) all_48_0_64 = all_16_1_16 % 32.15/9.12 | % 32.15/9.12 | Combining equations (258,210) yields a new equation: % 32.15/9.12 | (263) all_52_4_75 = 0 % 32.15/9.12 | % 32.15/9.12 | Simplifying 263 yields: % 32.15/9.12 | (264) all_52_4_75 = 0 % 32.15/9.12 | % 32.15/9.12 | Combining equations (264,256) yields a new equation: % 32.15/9.12 | (265) all_20_4_27 = 0 % 32.15/9.12 | % 32.15/9.12 | Combining equations (222,229) yields a new equation: % 32.15/9.12 | (266) all_50_1_66 = all_20_1_24 % 32.15/9.12 | % 32.15/9.12 | Simplifying 266 yields: % 32.15/9.12 | (267) all_50_1_66 = all_20_1_24 % 32.15/9.12 | % 32.15/9.12 | Combining equations (223,267) yields a new equation: % 32.15/9.12 | (268) all_42_0_57 = all_20_1_24 % 32.15/9.12 | % 32.15/9.12 | Simplifying 268 yields: % 32.15/9.12 | (269) all_42_0_57 = all_20_1_24 % 32.15/9.12 | % 32.15/9.12 | Combining equations (239,241) yields a new equation: % 32.15/9.12 | (270) all_30_3_46 = all_26_2_37 % 32.15/9.12 | % 32.15/9.12 | Simplifying 270 yields: % 32.15/9.12 | (271) all_30_3_46 = all_26_2_37 % 32.15/9.12 | % 32.15/9.13 | Combining equations (237,238) yields a new equation: % 32.15/9.13 | (272) all_40_0_56 = all_32_0_49 % 32.15/9.13 | % 32.15/9.13 | Simplifying 272 yields: % 32.15/9.13 | (273) all_40_0_56 = all_32_0_49 % 32.15/9.13 | % 32.15/9.13 | Combining equations (215,214) yields a new equation: % 32.15/9.13 | (274) all_50_5_70 = 0 % 32.15/9.13 | % 32.15/9.13 | Simplifying 274 yields: % 32.15/9.13 | (275) all_50_5_70 = 0 % 32.15/9.13 | % 32.15/9.13 | Combining equations (275,216) yields a new equation: % 32.15/9.13 | (276) all_32_1_50 = 0 % 32.15/9.13 | % 32.15/9.13 | Combining equations (217,216) yields a new equation: % 32.15/9.13 | (277) all_32_1_50 = all_26_4_39 % 32.15/9.13 | % 32.15/9.13 | Combining equations (262,260) yields a new equation: % 32.15/9.13 | (278) all_30_0_43 = all_16_1_16 % 32.15/9.13 | % 32.15/9.13 | Combining equations (234,260) yields a new equation: % 32.15/9.13 | (279) all_30_0_43 = all_26_1_36 % 32.15/9.13 | % 32.15/9.13 | Combining equations (218,219) yields a new equation: % 32.15/9.13 | (280) all_30_4_47 = 0 % 32.15/9.13 | % 32.15/9.13 | Combining equations (220,219) yields a new equation: % 32.15/9.13 | (281) all_30_4_47 = all_28_1_42 % 32.15/9.13 | % 32.15/9.13 | Combining equations (226,269) yields a new equation: % 32.15/9.13 | (282) all_26_0_35 = all_20_1_24 % 32.15/9.13 | % 32.15/9.13 | Simplifying 282 yields: % 32.15/9.13 | (283) all_26_0_35 = all_20_1_24 % 32.15/9.13 | % 32.15/9.13 | Combining equations (240,273) yields a new equation: % 32.15/9.13 | (284) all_32_0_49 = all_30_3_46 % 32.15/9.13 | % 32.15/9.13 | Combining equations (236,273) yields a new equation: % 32.15/9.13 | (285) all_32_0_49 = all_0_3_3 % 32.15/9.13 | % 32.15/9.13 | Combining equations (242,243) yields a new equation: % 32.15/9.13 | (286) all_30_2_45 = all_28_0_41 % 32.15/9.13 | % 32.15/9.13 | Simplifying 286 yields: % 32.15/9.13 | (287) all_30_2_45 = all_28_0_41 % 32.15/9.13 | % 32.15/9.13 | Combining equations (244,243) yields a new equation: % 32.15/9.13 | (288) all_28_0_41 = all_26_3_38 % 32.15/9.13 | % 32.15/9.13 | Combining equations (284,285) yields a new equation: % 32.15/9.13 | (289) all_30_3_46 = all_0_3_3 % 32.15/9.13 | % 32.15/9.13 | Simplifying 289 yields: % 32.15/9.13 | (290) all_30_3_46 = all_0_3_3 % 32.15/9.13 | % 32.15/9.13 | Combining equations (277,276) yields a new equation: % 32.15/9.13 | (291) all_26_4_39 = 0 % 32.15/9.13 | % 32.15/9.13 | Simplifying 291 yields: % 32.15/9.13 | (292) all_26_4_39 = 0 % 32.15/9.13 | % 32.15/9.13 | Combining equations (279,278) yields a new equation: % 32.15/9.13 | (293) all_26_1_36 = all_16_1_16 % 32.15/9.13 | % 32.15/9.13 | Simplifying 293 yields: % 32.15/9.13 | (294) all_26_1_36 = all_16_1_16 % 32.15/9.13 | % 32.15/9.13 | Combining equations (249,228) yields a new equation: % 32.15/9.13 | (295) all_22_1_29 = all_22_2_30 % 32.15/9.13 | % 32.15/9.13 | Simplifying 295 yields: % 32.15/9.13 | (296) all_22_1_29 = all_22_2_30 % 32.15/9.13 | % 32.15/9.13 | Combining equations (287,247) yields a new equation: % 32.15/9.13 | (297) all_28_0_41 = all_16_3_18 % 32.15/9.13 | % 32.15/9.13 | Simplifying 297 yields: % 32.15/9.13 | (298) all_28_0_41 = all_16_3_18 % 32.15/9.13 | % 32.15/9.13 | Combining equations (271,290) yields a new equation: % 32.15/9.13 | (299) all_26_2_37 = all_0_3_3 % 32.15/9.13 | % 32.15/9.13 | Simplifying 299 yields: % 32.15/9.13 | (300) all_26_2_37 = all_0_3_3 % 32.15/9.13 | % 32.15/9.13 | Combining equations (281,280) yields a new equation: % 32.15/9.13 | (301) all_28_1_42 = 0 % 32.15/9.13 | % 32.15/9.13 | Simplifying 301 yields: % 32.15/9.13 | (302) all_28_1_42 = 0 % 32.15/9.13 | % 32.15/9.13 | Combining equations (288,298) yields a new equation: % 32.15/9.13 | (303) all_26_3_38 = all_16_3_18 % 32.15/9.13 | % 32.15/9.13 | Simplifying 303 yields: % 32.15/9.13 | (304) all_26_3_38 = all_16_3_18 % 32.15/9.13 | % 32.15/9.13 | Combining equations (221,302) yields a new equation: % 32.15/9.13 | (305) all_26_5_40 = 0 % 32.15/9.13 | % 32.15/9.13 | Simplifying 305 yields: % 32.15/9.13 | (306) all_26_5_40 = 0 % 32.15/9.13 | % 32.15/9.13 | Combining equations (251,283) yields a new equation: % 32.15/9.13 | (307) all_22_1_29 = all_20_1_24 % 32.15/9.13 | % 32.15/9.13 | Simplifying 307 yields: % 32.15/9.13 | (308) all_22_1_29 = all_20_1_24 % 32.15/9.13 | % 32.15/9.13 | Combining equations (246,304) yields a new equation: % 32.15/9.13 | (309) all_16_2_17 = all_16_3_18 % 32.15/9.13 | % 32.15/9.13 | Simplifying 309 yields: % 32.15/9.13 | (310) all_16_2_17 = all_16_3_18 % 32.15/9.13 | % 32.15/9.13 | Combining equations (207,255) yields a new equation: % 32.15/9.13 | (311) all_22_3_31 = all_22_4_32 % 32.15/9.13 | % 32.15/9.13 | Simplifying 311 yields: % 32.15/9.13 | (312) all_22_3_31 = all_22_4_32 % 32.15/9.13 | % 32.15/9.13 | Combining equations (296,308) yields a new equation: % 32.15/9.13 | (313) all_22_2_30 = all_20_1_24 % 32.15/9.13 | % 32.15/9.13 | Simplifying 313 yields: % 32.15/9.13 | (314) all_22_2_30 = all_20_1_24 % 32.15/9.13 | % 32.15/9.13 | Combining equations (209,312) yields a new equation: % 32.15/9.13 | (315) all_22_4_32 = all_20_3_26 % 32.15/9.13 | % 32.15/9.13 | Combining equations (206,312) yields a new equation: % 32.15/9.13 | (316) all_22_4_32 = 0 % 32.15/9.13 | % 32.15/9.14 | Combining equations (316,315) yields a new equation: % 32.15/9.14 | (317) all_20_3_26 = 0 % 32.15/9.14 | % 32.15/9.14 | Combining equations (245,310) yields a new equation: % 32.15/9.14 | (318) all_16_3_18 = all_0_3_3 % 32.15/9.14 | % 32.15/9.14 | Combining equations (317,315) yields a new equation: % 32.15/9.14 | (316) all_22_4_32 = 0 % 32.15/9.14 | % 32.15/9.14 | Combining equations (318,304) yields a new equation: % 32.15/9.14 | (320) all_26_3_38 = all_0_3_3 % 32.15/9.14 | % 32.15/9.14 | Combining equations (265,256) yields a new equation: % 32.15/9.14 | (264) all_52_4_75 = 0 % 32.15/9.14 | % 32.15/9.14 | Combining equations (264,212) yields a new equation: % 32.15/9.14 | (322) all_68_4_90 = 0 % 32.15/9.14 | % 32.15/9.14 | Combining equations (316,208) yields a new equation: % 32.15/9.14 | (323) all_68_3_89 = 0 % 32.15/9.14 | % 32.15/9.14 | Combining equations (253,230) yields a new equation: % 32.15/9.14 | (235) all_68_2_88 = all_16_1_16 % 32.15/9.14 | % 32.15/9.14 | Combining equations (308,227) yields a new equation: % 32.15/9.14 | (325) all_68_1_87 = all_20_1_24 % 32.15/9.14 | % 32.15/9.14 | From (317) and (118) follows: % 32.15/9.14 | (3) aVector0(xq) = 0 % 32.15/9.14 | % 32.15/9.14 | From (314) and (124) follows: % 32.15/9.14 | (117) aDimensionOf0(xq) = all_20_1_24 % 32.15/9.14 | % 32.15/9.14 | From (235) and (199) follows: % 32.15/9.14 | (328) iLess0(all_16_1_16, all_0_3_3) = all_68_0_86 % 32.15/9.14 | % 32.15/9.14 | From (269) and (162) follows: % 32.15/9.14 | (329) aNaturalNumber0(all_20_1_24) = 0 % 32.15/9.14 | % 32.15/9.14 +-Applying beta-rule and splitting (136), into two cases. % 32.15/9.14 |-Branch one: % 32.15/9.14 | (330) ~ (all_26_4_39 = 0) % 32.15/9.14 | % 32.15/9.14 | Equations (292) can reduce 330 to: % 32.15/9.14 | (187) $false % 32.15/9.14 | % 32.15/9.14 |-The branch is then unsatisfiable % 32.15/9.14 |-Branch two: % 32.15/9.14 | (292) all_26_4_39 = 0 % 32.15/9.14 | (333) ~ (all_26_2_37 = all_26_3_38) | ~ (all_26_5_40 = 0) | all_26_0_35 = all_26_1_36 | all_26_3_38 = sz00 % 32.15/9.14 | % 32.15/9.14 +-Applying beta-rule and splitting (333), into two cases. % 32.15/9.14 |-Branch one: % 32.15/9.14 | (334) ~ (all_26_5_40 = 0) % 32.15/9.14 | % 32.15/9.14 | Equations (306) can reduce 334 to: % 32.15/9.14 | (187) $false % 32.15/9.14 | % 32.15/9.14 |-The branch is then unsatisfiable % 32.15/9.14 |-Branch two: % 32.15/9.14 | (306) all_26_5_40 = 0 % 32.15/9.14 | (337) ~ (all_26_2_37 = all_26_3_38) | all_26_0_35 = all_26_1_36 | all_26_3_38 = sz00 % 32.15/9.14 | % 32.15/9.14 +-Applying beta-rule and splitting (153), into two cases. % 32.15/9.14 |-Branch one: % 32.15/9.14 | (338) ~ (all_32_1_50 = 0) % 32.15/9.14 | % 32.15/9.14 | Equations (276) can reduce 338 to: % 32.15/9.14 | (187) $false % 32.15/9.14 | % 32.15/9.14 |-The branch is then unsatisfiable % 32.15/9.14 |-Branch two: % 32.15/9.14 | (276) all_32_1_50 = 0 % 32.15/9.14 | (341) all_32_0_49 = sz00 | ( ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(xt, v1) = v2) | ~ (aVector0(xq) = v0) | ? [v3] : ? [v4] : (sdtlbdtrb0(xq, v1) = v4 & aNaturalNumber0(v1) = v3 & ( ~ (v3 = 0) | v4 = v2))) & ! [v0] : (v0 = xq | ~ (aVector0(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ((v2 = 0 & ~ (v4 = v3) & sdtlbdtrb0(v0, v1) = v3 & sdtlbdtrb0(xt, v1) = v4 & aNaturalNumber0(v1) = 0) | ( ~ (v2 = all_32_0_49) & aDimensionOf0(v0) = v1 & szszuzczcdt0(v1) = v2))) & ! [v0] : (v0 = 0 | ~ (aVector0(xq) = v0)) & ! [v0] : ( ~ (aVector0(xq) = v0) | ? [v1] : (aDimensionOf0(xq) = v1 & szszuzczcdt0(v1) = all_32_0_49))) % 32.15/9.14 | % 32.15/9.14 +-Applying beta-rule and splitting (341), into two cases. % 32.15/9.14 |-Branch one: % 32.15/9.14 | (342) all_32_0_49 = sz00 % 32.15/9.14 | % 32.15/9.14 | Combining equations (342,285) yields a new equation: % 32.15/9.14 | (343) all_0_3_3 = sz00 % 32.15/9.14 | % 32.15/9.14 | Equations (343) can reduce 45 to: % 32.15/9.14 | (187) $false % 32.15/9.14 | % 32.15/9.14 |-The branch is then unsatisfiable % 32.15/9.14 |-Branch two: % 32.15/9.14 | (345) ~ (all_32_0_49 = sz00) % 32.15/9.14 | (346) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(xt, v1) = v2) | ~ (aVector0(xq) = v0) | ? [v3] : ? [v4] : (sdtlbdtrb0(xq, v1) = v4 & aNaturalNumber0(v1) = v3 & ( ~ (v3 = 0) | v4 = v2))) & ! [v0] : (v0 = xq | ~ (aVector0(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ((v2 = 0 & ~ (v4 = v3) & sdtlbdtrb0(v0, v1) = v3 & sdtlbdtrb0(xt, v1) = v4 & aNaturalNumber0(v1) = 0) | ( ~ (v2 = all_32_0_49) & aDimensionOf0(v0) = v1 & szszuzczcdt0(v1) = v2))) & ! [v0] : (v0 = 0 | ~ (aVector0(xq) = v0)) & ! [v0] : ( ~ (aVector0(xq) = v0) | ? [v1] : (aDimensionOf0(xq) = v1 & szszuzczcdt0(v1) = all_32_0_49)) % 32.15/9.14 | % 32.15/9.15 | Applying alpha-rule on (346) yields: % 32.15/9.15 | (347) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(xt, v1) = v2) | ~ (aVector0(xq) = v0) | ? [v3] : ? [v4] : (sdtlbdtrb0(xq, v1) = v4 & aNaturalNumber0(v1) = v3 & ( ~ (v3 = 0) | v4 = v2))) % 32.15/9.15 | (348) ! [v0] : (v0 = xq | ~ (aVector0(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ((v2 = 0 & ~ (v4 = v3) & sdtlbdtrb0(v0, v1) = v3 & sdtlbdtrb0(xt, v1) = v4 & aNaturalNumber0(v1) = 0) | ( ~ (v2 = all_32_0_49) & aDimensionOf0(v0) = v1 & szszuzczcdt0(v1) = v2))) % 32.15/9.15 | (349) ! [v0] : (v0 = 0 | ~ (aVector0(xq) = v0)) % 32.15/9.15 | (350) ! [v0] : ( ~ (aVector0(xq) = v0) | ? [v1] : (aDimensionOf0(xq) = v1 & szszuzczcdt0(v1) = all_32_0_49)) % 32.15/9.15 | % 32.15/9.15 | Instantiating formula (350) with 0 and discharging atoms aVector0(xq) = 0, yields: % 32.15/9.15 | (351) ? [v0] : (aDimensionOf0(xq) = v0 & szszuzczcdt0(v0) = all_32_0_49) % 32.15/9.15 | % 32.15/9.15 | Instantiating (351) with all_103_0_91 yields: % 32.15/9.15 | (352) aDimensionOf0(xq) = all_103_0_91 & szszuzczcdt0(all_103_0_91) = all_32_0_49 % 32.15/9.15 | % 32.15/9.15 | Applying alpha-rule on (352) yields: % 32.15/9.15 | (353) aDimensionOf0(xq) = all_103_0_91 % 32.15/9.15 | (354) szszuzczcdt0(all_103_0_91) = all_32_0_49 % 32.15/9.15 | % 32.15/9.15 | Equations (285) can reduce 345 to: % 32.15/9.15 | (45) ~ (all_0_3_3 = sz00) % 32.15/9.15 | % 32.15/9.15 | From (285) and (354) follows: % 32.15/9.15 | (356) szszuzczcdt0(all_103_0_91) = all_0_3_3 % 32.15/9.15 | % 32.15/9.15 +-Applying beta-rule and splitting (337), into two cases. % 32.15/9.15 |-Branch one: % 32.15/9.15 | (357) ~ (all_26_2_37 = all_26_3_38) % 32.15/9.15 | % 32.15/9.15 | Equations (300,320) can reduce 357 to: % 32.15/9.15 | (187) $false % 32.15/9.15 | % 32.15/9.15 |-The branch is then unsatisfiable % 32.15/9.15 |-Branch two: % 32.15/9.15 | (359) all_26_2_37 = all_26_3_38 % 32.15/9.15 | (360) all_26_0_35 = all_26_1_36 | all_26_3_38 = sz00 % 32.15/9.15 | % 32.15/9.15 | Combining equations (300,359) yields a new equation: % 32.15/9.15 | (320) all_26_3_38 = all_0_3_3 % 32.15/9.15 | % 32.15/9.15 +-Applying beta-rule and splitting (360), into two cases. % 32.15/9.15 |-Branch one: % 32.15/9.15 | (362) all_26_0_35 = all_26_1_36 % 32.15/9.15 | % 32.15/9.15 | Combining equations (283,362) yields a new equation: % 32.15/9.15 | (363) all_26_1_36 = all_20_1_24 % 32.15/9.15 | % 32.15/9.15 | Combining equations (363,294) yields a new equation: % 32.15/9.15 | (364) all_20_1_24 = all_16_1_16 % 32.15/9.15 | % 32.15/9.15 | Simplifying 364 yields: % 32.15/9.15 | (365) all_20_1_24 = all_16_1_16 % 32.15/9.15 | % 32.15/9.15 | Combining equations (365,325) yields a new equation: % 32.15/9.15 | (366) all_68_1_87 = all_16_1_16 % 32.15/9.15 | % 32.15/9.15 | From (365) and (117) follows: % 32.15/9.15 | (367) aDimensionOf0(xq) = all_16_1_16 % 32.15/9.15 | % 32.15/9.15 | From (365) and (329) follows: % 32.15/9.15 | (368) aNaturalNumber0(all_16_1_16) = 0 % 32.15/9.15 | % 32.15/9.15 +-Applying beta-rule and splitting (203), into two cases. % 32.15/9.15 |-Branch one: % 32.15/9.15 | (369) ~ (all_68_0_86 = 0) % 32.15/9.15 | % 32.15/9.15 | Instantiating formula (17) with xq, all_16_1_16, all_103_0_91 and discharging atoms aDimensionOf0(xq) = all_103_0_91, aDimensionOf0(xq) = all_16_1_16, yields: % 32.15/9.15 | (370) all_103_0_91 = all_16_1_16 % 32.15/9.15 | % 32.15/9.15 | From (370) and (356) follows: % 32.15/9.15 | (371) szszuzczcdt0(all_16_1_16) = all_0_3_3 % 32.15/9.15 | % 32.15/9.15 | Instantiating formula (11) with all_68_0_86, all_0_3_3, all_16_1_16 and discharging atoms iLess0(all_16_1_16, all_0_3_3) = all_68_0_86, szszuzczcdt0(all_16_1_16) = all_0_3_3, yields: % 32.15/9.15 | (372) all_68_0_86 = 0 | ? [v0] : ( ~ (v0 = 0) & aNaturalNumber0(all_16_1_16) = v0) % 32.15/9.15 | % 32.15/9.15 +-Applying beta-rule and splitting (372), into two cases. % 32.15/9.15 |-Branch one: % 32.15/9.15 | (373) all_68_0_86 = 0 % 32.15/9.15 | % 32.15/9.15 | Equations (373) can reduce 369 to: % 32.15/9.15 | (187) $false % 32.15/9.15 | % 32.15/9.15 |-The branch is then unsatisfiable % 32.15/9.15 |-Branch two: % 32.15/9.15 | (369) ~ (all_68_0_86 = 0) % 32.15/9.15 | (376) ? [v0] : ( ~ (v0 = 0) & aNaturalNumber0(all_16_1_16) = v0) % 32.15/9.15 | % 32.15/9.15 | Instantiating (376) with all_247_0_247 yields: % 32.15/9.15 | (377) ~ (all_247_0_247 = 0) & aNaturalNumber0(all_16_1_16) = all_247_0_247 % 32.15/9.15 | % 32.15/9.15 | Applying alpha-rule on (377) yields: % 32.15/9.15 | (378) ~ (all_247_0_247 = 0) % 32.15/9.15 | (379) aNaturalNumber0(all_16_1_16) = all_247_0_247 % 32.15/9.15 | % 32.15/9.15 | Instantiating formula (52) with all_16_1_16, all_247_0_247, 0 and discharging atoms aNaturalNumber0(all_16_1_16) = all_247_0_247, aNaturalNumber0(all_16_1_16) = 0, yields: % 32.15/9.15 | (380) all_247_0_247 = 0 % 32.15/9.16 | % 32.15/9.16 | Equations (380) can reduce 378 to: % 32.15/9.16 | (187) $false % 32.15/9.16 | % 32.15/9.16 |-The branch is then unsatisfiable % 32.15/9.16 |-Branch two: % 32.15/9.16 | (373) all_68_0_86 = 0 % 32.15/9.16 | (383) ~ (all_68_1_87 = all_68_2_88) | ~ (all_68_3_89 = 0) | ~ (all_68_4_90 = 0) % 32.15/9.16 | % 32.15/9.16 +-Applying beta-rule and splitting (383), into two cases. % 32.15/9.16 |-Branch one: % 32.15/9.16 | (384) ~ (all_68_3_89 = 0) % 32.15/9.16 | % 32.15/9.16 | Equations (323) can reduce 384 to: % 32.15/9.16 | (187) $false % 32.15/9.16 | % 32.15/9.16 |-The branch is then unsatisfiable % 32.15/9.16 |-Branch two: % 32.15/9.16 | (323) all_68_3_89 = 0 % 32.15/9.16 | (387) ~ (all_68_1_87 = all_68_2_88) | ~ (all_68_4_90 = 0) % 32.15/9.16 | % 32.15/9.16 +-Applying beta-rule and splitting (387), into two cases. % 32.15/9.16 |-Branch one: % 32.15/9.16 | (388) ~ (all_68_4_90 = 0) % 32.15/9.16 | % 32.15/9.16 | Equations (322) can reduce 388 to: % 32.15/9.16 | (187) $false % 32.15/9.16 | % 32.15/9.16 |-The branch is then unsatisfiable % 32.15/9.16 |-Branch two: % 32.15/9.16 | (322) all_68_4_90 = 0 % 32.15/9.16 | (391) ~ (all_68_1_87 = all_68_2_88) % 32.15/9.16 | % 32.15/9.16 | Equations (366,235) can reduce 391 to: % 32.15/9.16 | (187) $false % 32.15/9.16 | % 32.15/9.16 |-The branch is then unsatisfiable % 32.15/9.16 |-Branch two: % 32.15/9.16 | (393) ~ (all_26_0_35 = all_26_1_36) % 32.15/9.16 | (394) all_26_3_38 = sz00 % 32.15/9.16 | % 32.15/9.16 | Combining equations (320,394) yields a new equation: % 32.15/9.16 | (395) all_0_3_3 = sz00 % 32.15/9.16 | % 32.15/9.16 | Simplifying 395 yields: % 32.15/9.16 | (343) all_0_3_3 = sz00 % 32.15/9.16 | % 32.15/9.16 | Equations (343) can reduce 45 to: % 32.15/9.16 | (187) $false % 32.15/9.16 | % 32.15/9.16 |-The branch is then unsatisfiable % 32.15/9.16 % SZS output end Proof for theBenchmark % 32.15/9.16 % 32.15/9.16 8547ms %------------------------------------------------------------------------------