%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : RNG072+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Mon Jul 18 20:25:15 EDT 2022 % Result : Theorem 16.77s 6.39s % Output : Proof 31.78s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : RNG072+1 : TPTP v8.1.0. Released v4.0.0. % 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.33 % Computer : n028.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 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Mon May 30 16:50:50 EDT 2022 % 0.13/0.33 % CPUTime : % 0.51/0.58 ____ _ % 0.51/0.58 ___ / __ \_____(_)___ ________ __________ % 0.51/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.51/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.51/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.51/0.58 % 0.51/0.58 A Theorem Prover for First-Order Logic % 0.51/0.58 (ePrincess v.1.0) % 0.51/0.58 % 0.51/0.58 (c) Philipp Rümmer, 2009-2015 % 0.51/0.58 (c) Peter Backeman, 2014-2015 % 0.51/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.51/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.51/0.58 Bug reports to peter@backeman.se % 0.51/0.58 % 0.51/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.51/0.58 % 0.51/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.51/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.89/1.00 Prover 0: Preprocessing ... % 3.69/1.51 Prover 0: Constructing countermodel ... % 14.69/5.92 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 15.21/6.02 Prover 1: Preprocessing ... % 16.01/6.16 Prover 1: Constructing countermodel ... % 16.77/6.38 Prover 1: proved (466ms) % 16.77/6.39 Prover 0: stopped % 16.77/6.39 % 16.77/6.39 No countermodel exists, formula is valid % 16.77/6.39 % SZS status Theorem for theBenchmark % 16.77/6.39 % 16.77/6.39 Generating proof ... found it (size 203) % 31.17/9.79 % 31.17/9.79 % SZS output start Proof for theBenchmark % 31.17/9.80 Assumed formulas after preprocessing and simplification: % 31.17/9.80 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ( ~ (v14 = 0) & ~ (v13 = 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(v12, v10) = v14 & sdtlseqdt0(v11, v9) = 0 & sdtlseqdt0(v10, v12) = 0 & sdtlseqdt0(v9, v11) = v13 & sdtlseqdt0(v5, v8) = 0 & sdtlseqdt0(v4, xN) = 0 & sdtlseqdt0(v2, v3) = 0 & sdtlseqdt0(sz0z00, v11) = 0 & sdtlseqdt0(sz0z00, v9) = 0 & smndt0(sz0z00) = v0 & sdtasdt0(v11, v11) = v12 & sdtasdt0(v9, v9) = v10 & sdtasdt0(xS, xS) = v7 & sdtasdt0(xP, xP) = v4 & sdtasdt0(xR, xS) = xN & sdtasdt0(xR, xR) = v6 & 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 & sdtpldt0(v6, v7) = v8 & sdtpldt0(v4, v4) = v5 & sdtpldt0(xP, xP) = v9 & sdtpldt0(xR, xS) = v11 & 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 & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (sdtasdt0(v16, v18) = v23) | ~ (sdtasdt0(v16, v17) = v22) | ~ (sdtasdt0(v15, v18) = v20) | ~ (sdtasdt0(v15, v17) = v19) | ~ (sdtpldt0(v22, v23) = v24) | ~ (sdtpldt0(v21, v24) = v25) | ~ (sdtpldt0(v19, v20) = v21) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : (sdtasdt0(v30, v31) = v32 & sdtpldt0(v17, v18) = v31 & sdtpldt0(v15, v16) = v30 & aScalar0(v18) = v29 & aScalar0(v17) = v28 & aScalar0(v16) = v27 & aScalar0(v15) = v26 & ( ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | v32 = v25))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v17 = sz00 | ~ (sdtasasdt0(v18, v19) = v20) | ~ (sziznziztdt0(v16) = v19) | ~ (sziznziztdt0(v15) = v18) | ~ (sdtlbdtrb0(v16, v17) = v22) | ~ (sdtlbdtrb0(v15, v17) = v21) | ~ (aDimensionOf0(v16) = v17) | ~ (aDimensionOf0(v15) = v17) | ~ (sdtasdt0(v21, v22) = v23) | ~ (sdtpldt0(v20, v23) = v24) | ? [v25] : ? [v26] : ? [v27] : (sdtasasdt0(v15, v16) = v27 & aVector0(v16) = v26 & aVector0(v15) = v25 & ( ~ (v26 = 0) | ~ (v25 = 0) | v27 = v24))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (sdtasasdt0(v16, v16) = v20) | ~ (sdtasasdt0(v15, v16) = v17) | ~ (sdtasasdt0(v15, v15) = v19) | ~ (sdtlseqdt0(v18, v21) = v22) | ~ (sdtasdt0(v19, v20) = v21) | ~ (sdtasdt0(v17, v17) = v18) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (aVector0(v16) = v24 & aVector0(v15) = v23 & aDimensionOf0(v16) = v26 & aDimensionOf0(v15) = v25 & iLess0(v25, v1) = v27 & ( ~ (v27 = 0) | ~ (v26 = v25) | ~ (v24 = 0) | ~ (v23 = 0)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = 0 | ~ (sdtlseqdt0(v19, v20) = v21) | ~ (sdtasdt0(v16, v18) = v20) | ~ (sdtasdt0(v15, v17) = v19) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (sdtlseqdt0(v17, v18) = v28 & sdtlseqdt0(v15, v16) = v26 & sdtlseqdt0(sz0z00, v17) = v27 & aScalar0(v18) = v25 & aScalar0(v17) = v24 & aScalar0(v16) = v23 & aScalar0(v15) = v22 & ( ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = 0 | ~ (sdtlseqdt0(v19, v20) = v21) | ~ (sdtpldt0(v16, v18) = v20) | ~ (sdtpldt0(v15, v17) = v19) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (sdtlseqdt0(v17, v18) = v27 & sdtlseqdt0(v15, v16) = v26 & aScalar0(v18) = v25 & aScalar0(v17) = v24 & aScalar0(v16) = v23 & aScalar0(v15) = v22 & ( ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (sdtasdt0(v15, v17) = v19) | ~ (sdtasdt0(v15, v16) = v18) | ~ (sdtpldt0(v18, v19) = v20) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (sdtasdt0(v26, v17) = v27 & sdtasdt0(v16, v17) = v28 & sdtasdt0(v15, v24) = v25 & sdtpldt0(v19, v28) = v29 & sdtpldt0(v16, v17) = v24 & sdtpldt0(v15, v16) = v26 & aScalar0(v17) = v23 & aScalar0(v16) = v22 & aScalar0(v15) = v21 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | (v29 = v27 & v25 = v20)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (smndt0(v16) = v18) | ~ (smndt0(v15) = v17) | ~ (sdtasdt0(v17, v18) = v19) | ? [v20] : ? [v21] : ? [v22] : (sdtasdt0(v15, v16) = v22 & aScalar0(v16) = v21 & aScalar0(v15) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0) | v22 = v19))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (sdtpldt0(v18, v17) = v19) | ~ (sdtpldt0(v15, v16) = v18) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (sdtasdt0(v26, v17) = v27 & sdtasdt0(v16, v17) = v28 & sdtasdt0(v16, v15) = v30 & sdtasdt0(v15, v28) = v29 & sdtasdt0(v15, v16) = v26 & sdtpldt0(v16, v17) = v23 & sdtpldt0(v16, v15) = v25 & sdtpldt0(v15, v23) = v24 & aScalar0(v17) = v22 & aScalar0(v16) = v21 & aScalar0(v15) = v20 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | (v30 = v26 & v29 = v27 & v25 = v18 & v24 = v19)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (sdtlseqdt0(v15, v17) = v18) | ~ (sdtlseqdt0(v15, v16) = 0) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : (sdtlseqdt0(v16, v17) = v22 & aScalar0(v17) = v21 & aScalar0(v16) = v20 & aScalar0(v15) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (sdtasasdt0(v18, v17) = v16) | ~ (sdtasasdt0(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (sdtlbdtrb0(v18, v17) = v16) | ~ (sdtlbdtrb0(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (sdtlseqdt0(v18, v17) = v16) | ~ (sdtlseqdt0(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (sdtasdt0(v18, v17) = v16) | ~ (sdtasdt0(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (sdtpldt0(v18, v17) = v16) | ~ (sdtpldt0(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (iLess0(v18, v17) = v16) | ~ (iLess0(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (sziznziztdt0(v16) = v18) | ~ (sziznziztdt0(v15) = v17) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (aVector0(v16) = v20 & aVector0(v15) = v19 & aDimensionOf0(v18) = v24 & aDimensionOf0(v17) = v23 & aDimensionOf0(v16) = v22 & aDimensionOf0(v15) = v21 & ( ~ (v22 = v21) | ~ (v20 = 0) | ~ (v19 = 0) | v24 = v23 | v21 = sz00))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (smndt0(v15) = v17) | ~ (sdtasdt0(v17, v16) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (smndt0(v23) = v24 & smndt0(v16) = v21 & sdtasdt0(v15, v21) = v22 & sdtasdt0(v15, v16) = v23 & aScalar0(v16) = v20 & aScalar0(v15) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0) | (v24 = v18 & v22 = v18)))) & ! [v15] : ! [v16] : ! [v17] : (v17 = sz0z00 | ~ (sdtasasdt0(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : (aVector0(v16) = v19 & aVector0(v15) = v18 & aDimensionOf0(v16) = v21 & aDimensionOf0(v15) = v20 & ( ~ (v21 = sz00) | ~ (v20 = sz00) | ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (sdtlseqdt0(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : (sdtlseqdt0(v16, v15) = v20 & aScalar0(v16) = v19 & aScalar0(v15) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0) | v20 = 0))) & ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (iLess0(v15, v16) = v17) | ~ (szszuzczcdt0(v15) = v16) | ? [v18] : ( ~ (v18 = 0) & aNaturalNumber0(v15) = v18)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (sziznziztdt0(v17) = v16) | ~ (sziznziztdt0(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (aVector0(v17) = v16) | ~ (aVector0(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (aDimensionOf0(v17) = v16) | ~ (aDimensionOf0(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (smndt0(v17) = v16) | ~ (smndt0(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (aScalar0(v17) = v16) | ~ (aScalar0(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (szszuzczcdt0(v17) = v16) | ~ (szszuzczcdt0(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (szszuzczcdt0(v16) = v17) | ~ (szszuzczcdt0(v15) = v17) | ? [v18] : ? [v19] : (aNaturalNumber0(v16) = v19 & aNaturalNumber0(v15) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (aNaturalNumber0(v17) = v16) | ~ (aNaturalNumber0(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (sdtasasdt0(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (aVector0(v16) = v19 & aVector0(v15) = v18 & aDimensionOf0(v16) = v21 & aDimensionOf0(v15) = v20 & aScalar0(v17) = v22 & ( ~ (v21 = v20) | ~ (v19 = 0) | ~ (v18 = 0) | v22 = 0))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (sdtlbdtrb0(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : (aVector0(v15) = v18 & aScalar0(v17) = v20 & aNaturalNumber0(v16) = v19 & ( ~ (v19 = 0) | ~ (v18 = 0) | v20 = 0))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (smndt0(v15) = v16) | ~ (sdtpldt0(v16, v15) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (smndt0(v16) = v24 & sdtasdt0(v15, sz0z00) = v21 & sdtasdt0(sz0z00, v15) = v22 & sdtpldt0(v15, v16) = v23 & sdtpldt0(v15, sz0z00) = v19 & sdtpldt0(sz0z00, v15) = v20 & aScalar0(v15) = v18 & ( ~ (v18 = 0) | (v24 = v15 & v23 = sz0z00 & v22 = sz0z00 & v21 = sz0z00 & v20 = v15 & v19 = v15 & v17 = sz0z00 & v0 = sz0z00)))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (sdtasdt0(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : (aScalar0(v17) = v20 & aScalar0(v16) = v19 & aScalar0(v15) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0) | v20 = 0))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (sdtpldt0(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : (aScalar0(v17) = v20 & aScalar0(v16) = v19 & aScalar0(v15) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0) | v20 = 0))) & ! [v15] : ! [v16] : (v16 = v15 | ~ (sdtlseqdt0(v15, v16) = 0) | ? [v17] : ? [v18] : ? [v19] : (sdtlseqdt0(v16, v15) = v19 & aScalar0(v16) = v18 & aScalar0(v15) = v17 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v15] : ! [v16] : (v16 = v15 | ~ (sdtlseqdt0(sz0z00, v16) = 0) | ~ (sdtlseqdt0(sz0z00, v15) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : (sdtasdt0(v16, v16) = v20 & sdtasdt0(v15, v15) = v19 & aScalar0(v16) = v18 & aScalar0(v15) = v17 & ( ~ (v20 = v19) | ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v15] : ! [v16] : (v16 = 0 | ~ (sdtlseqdt0(v15, v15) = v16) | ? [v17] : ( ~ (v17 = 0) & aScalar0(v15) = v17)) & ! [v15] : ! [v16] : ( ~ (sdtasasdt0(v15, v15) = v16) | ? [v17] : ? [v18] : (aVector0(v15) = v17 & sdtlseqdt0(sz0z00, v16) = v18 & ( ~ (v17 = 0) | v18 = 0))) & ! [v15] : ! [v16] : ( ~ (sziznziztdt0(v15) = v16) | ? [v17] : ? [v18] : (aVector0(v15) = v17 & aDimensionOf0(v15) = v18 & ( ~ (v17 = 0) | v18 = sz00 | ( ! [v19] : ! [v20] : ! [v21] : ( ~ (sdtlbdtrb0(v15, v20) = v21) | ~ (aVector0(v16) = v19) | ? [v22] : ? [v23] : (sdtlbdtrb0(v16, v20) = v23 & aNaturalNumber0(v20) = v22 & ( ~ (v22 = 0) | v23 = v21))) & ! [v19] : (v19 = v16 | ~ (aVector0(v19) = 0) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v21 = 0 & ~ (v23 = v22) & sdtlbdtrb0(v19, v20) = v22 & sdtlbdtrb0(v15, v20) = v23 & aNaturalNumber0(v20) = 0) | ( ~ (v21 = v18) & aDimensionOf0(v19) = v20 & szszuzczcdt0(v20) = v21))) & ! [v19] : (v19 = 0 | ~ (aVector0(v16) = v19)) & ! [v19] : ( ~ (aVector0(v16) = v19) | ? [v20] : (aDimensionOf0(v16) = v20 & szszuzczcdt0(v20) = v18)))))) & ! [v15] : ! [v16] : ( ~ (sdtlseqdt0(sz0z00, v16) = 0) | ~ (sdtlseqdt0(sz0z00, v15) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (sdtlseqdt0(sz0z00, v21) = v22 & sdtlseqdt0(sz0z00, v19) = v20 & sdtasdt0(v15, v16) = v21 & sdtpldt0(v15, v16) = v19 & aScalar0(v16) = v18 & aScalar0(v15) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0) | (v22 = 0 & v20 = 0)))) & ! [v15] : ! [v16] : ( ~ (smndt0(v15) = v16) | ? [v17] : ? [v18] : (aScalar0(v16) = v18 & aScalar0(v15) = v17 & ( ~ (v17 = 0) | v18 = 0))) & ! [v15] : ! [v16] : ( ~ (sdtasdt0(v15, v15) = v16) | ? [v17] : ? [v18] : (sdtlseqdt0(sz0z00, v16) = v18 & aScalar0(v15) = v17 & ( ~ (v17 = 0) | v18 = 0))) & ! [v15] : ! [v16] : ( ~ (szszuzczcdt0(v15) = v16) | ? [v17] : ? [v18] : (aNaturalNumber0(v16) = v18 & aNaturalNumber0(v15) = v17 & ( ~ (v17 = 0) | (v18 = 0 & ~ (v16 = sz00))))) & ! [v15] : (v15 = sz00 | ~ (aNaturalNumber0(v15) = 0) | ? [v16] : (szszuzczcdt0(v16) = v15 & aNaturalNumber0(v16) = 0)) & ! [v15] : ( ~ (aVector0(v15) = 0) | ? [v16] : (aDimensionOf0(v15) = v16 & aNaturalNumber0(v16) = 0))) % 31.49/9.85 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14 yields: % 31.49/9.85 | (1) ~ (all_0_0_0 = 0) & ~ (all_0_1_1 = 0) & ~ (all_0_13_13 = sz00) & sdtasasdt0(xq, xq) = xD & sdtasasdt0(xp, xq) = xE & sdtasasdt0(xp, xp) = xC & sziznziztdt0(xt) = xq & sziznziztdt0(xs) = xp & sdtlbdtrb0(xt, all_0_13_13) = xB & sdtlbdtrb0(xs, all_0_13_13) = xA & aVector0(xq) = 0 & aVector0(xp) = 0 & aVector0(xt) = 0 & aVector0(xs) = 0 & aDimensionOf0(xt) = all_0_13_13 & aDimensionOf0(xs) = all_0_13_13 & sdtlseqdt0(all_0_2_2, all_0_4_4) = all_0_0_0 & sdtlseqdt0(all_0_3_3, all_0_5_5) = 0 & sdtlseqdt0(all_0_4_4, all_0_2_2) = 0 & sdtlseqdt0(all_0_5_5, all_0_3_3) = all_0_1_1 & sdtlseqdt0(all_0_9_9, all_0_6_6) = 0 & sdtlseqdt0(all_0_10_10, xN) = 0 & sdtlseqdt0(all_0_12_12, all_0_11_11) = 0 & sdtlseqdt0(sz0z00, all_0_3_3) = 0 & sdtlseqdt0(sz0z00, all_0_5_5) = 0 & smndt0(sz0z00) = all_0_14_14 & sdtasdt0(all_0_3_3, all_0_3_3) = all_0_2_2 & sdtasdt0(all_0_5_5, all_0_5_5) = all_0_4_4 & sdtasdt0(xS, xS) = all_0_7_7 & sdtasdt0(xP, xP) = all_0_10_10 & sdtasdt0(xR, xS) = xN & sdtasdt0(xR, xR) = all_0_8_8 & sdtasdt0(xF, xD) = xS & sdtasdt0(xE, xH) = xP & sdtasdt0(xE, xE) = all_0_12_12 & sdtasdt0(xC, xG) = xR & sdtasdt0(xC, xD) = all_0_11_11 & sdtasdt0(xB, xB) = xG & sdtasdt0(xA, xB) = xH & sdtasdt0(xA, xA) = xF & sdtpldt0(all_0_8_8, all_0_7_7) = all_0_6_6 & sdtpldt0(all_0_10_10, all_0_10_10) = all_0_9_9 & sdtpldt0(xP, xP) = all_0_5_5 & sdtpldt0(xR, xS) = all_0_3_3 & 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_13_13) = 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_14_14 = 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)) % 31.56/9.87 | % 31.56/9.87 | Applying alpha-rule on (1) yields: % 31.56/9.87 | (2) sdtasasdt0(xq, xq) = xD % 31.56/9.87 | (3) sdtasdt0(xS, xS) = all_0_7_7 % 31.56/9.87 | (4) aVector0(xq) = 0 % 31.56/9.87 | (5) sdtasdt0(xB, xB) = xG % 31.56/9.87 | (6) ! [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))) % 31.56/9.87 | (7) aVector0(xt) = 0 % 31.56/9.87 | (8) sdtasdt0(xC, xG) = xR % 31.56/9.87 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1) | ~ (sdtlbdtrb0(v3, v2) = v0)) % 31.56/9.87 | (10) ! [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)))) % 31.56/9.87 | (11) sdtasdt0(xR, xR) = all_0_8_8 % 31.56/9.87 | (12) aScalar0(xR) = 0 % 31.56/9.87 | (13) sdtlseqdt0(all_0_5_5, all_0_3_3) = all_0_1_1 % 31.56/9.87 | (14) sdtlseqdt0(all_0_10_10, xN) = 0 % 31.56/9.87 | (15) sdtasasdt0(xp, xq) = xE % 31.56/9.87 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0)) % 31.56/9.87 | (17) sdtasdt0(xC, xD) = all_0_11_11 % 31.56/9.87 | (18) sdtasdt0(xP, xP) = all_0_10_10 % 31.56/9.87 | (19) ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = 0 & ~ (v1 = sz00))))) % 31.56/9.88 | (20) aScalar0(xG) = 0 % 31.56/9.88 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) % 31.56/9.88 | (22) aScalar0(xS) = 0 % 31.56/9.88 | (23) sdtasdt0(xE, xE) = all_0_12_12 % 31.56/9.88 | (24) aScalar0(sz0z00) = 0 % 31.56/9.88 | (25) ! [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)))) % 31.56/9.88 | (26) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0)) % 31.56/9.88 | (27) ~ (all_0_13_13 = sz00) % 31.56/9.88 | (28) sdtasdt0(xF, xD) = xS % 31.56/9.88 | (29) ! [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_14_14 = sz0z00)))) % 31.56/9.88 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) % 31.56/9.88 | (31) ! [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)))) % 31.56/9.88 | (32) sdtasdt0(all_0_5_5, all_0_5_5) = all_0_4_4 % 31.56/9.88 | (33) aVector0(xp) = 0 % 31.56/9.88 | (34) aDimensionOf0(xt) = all_0_13_13 % 31.56/9.88 | (35) aVector0(xs) = 0 % 31.56/9.88 | (36) ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (sdtlseqdt0(sz0z00, v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 31.56/9.88 | (37) sdtasdt0(xR, xS) = xN % 31.56/9.88 | (38) sdtasdt0(all_0_3_3, all_0_3_3) = all_0_2_2 % 31.56/9.88 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) % 31.56/9.88 | (40) ! [v0] : ! [v1] : (v1 = 0 | ~ (sdtlseqdt0(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aScalar0(v0) = v2)) % 31.56/9.88 | (41) sdtpldt0(all_0_10_10, all_0_10_10) = all_0_9_9 % 31.56/9.88 | (42) sdtpldt0(xP, xP) = all_0_5_5 % 31.56/9.88 | (43) ~ (all_0_1_1 = 0) % 31.56/9.88 | (44) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0)) % 31.56/9.88 | (45) ! [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))) % 31.56/9.88 | (46) ! [v0] : ! [v1] : ( ~ (sdtasasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (aVector0(v0) = v2 & sdtlseqdt0(sz0z00, v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) % 31.56/9.88 | (47) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (iLess0(v0, v1) = v2) | ~ (szszuzczcdt0(v0) = v1) | ? [v3] : ( ~ (v3 = 0) & aNaturalNumber0(v0) = v3)) % 31.56/9.88 | (48) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aDimensionOf0(v2) = v1) | ~ (aDimensionOf0(v2) = v0)) % 31.56/9.88 | (49) sdtasasdt0(xp, xp) = xC % 31.56/9.88 | (50) sdtlseqdt0(all_0_3_3, all_0_5_5) = 0 % 31.56/9.88 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0)) % 31.56/9.88 | (52) ! [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))) % 31.56/9.88 | (53) ! [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))) % 31.56/9.88 | (54) aScalar0(xP) = 0 % 31.56/9.88 | (55) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sziznziztdt0(v2) = v1) | ~ (sziznziztdt0(v2) = v0)) % 31.56/9.88 | (56) sdtlseqdt0(all_0_12_12, all_0_11_11) = 0 % 31.56/9.88 | (57) sdtpldt0(all_0_8_8, all_0_7_7) = all_0_6_6 % 31.56/9.88 | (58) aDimensionOf0(xs) = all_0_13_13 % 31.56/9.88 | (59) ! [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)))) % 31.56/9.88 | (60) ! [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))) % 31.56/9.88 | (61) ! [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)))) % 31.56/9.88 | (62) aScalar0(xH) = 0 % 31.56/9.88 | (63) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = v0)) % 31.56/9.88 | (64) ~ (all_0_0_0 = 0) % 31.56/9.88 | (65) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aVector0(v2) = v1) | ~ (aVector0(v2) = v0)) % 31.56/9.89 | (66) ! [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)))) % 31.56/9.89 | (67) sdtlseqdt0(all_0_9_9, all_0_6_6) = 0 % 31.56/9.89 | (68) sdtasdt0(xE, xH) = xP % 31.56/9.89 | (69) ! [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)))) % 31.56/9.89 | (70) ! [v0] : (v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ? [v1] : (szszuzczcdt0(v1) = v0 & aNaturalNumber0(v1) = 0)) % 31.56/9.89 | (71) ! [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))) % 31.56/9.89 | (72) aScalar0(xN) = 0 % 31.56/9.89 | (73) sdtlseqdt0(all_0_2_2, all_0_4_4) = all_0_0_0 % 31.56/9.89 | (74) sdtlbdtrb0(xs, all_0_13_13) = xA % 31.56/9.89 | (75) aScalar0(xD) = 0 % 31.56/9.89 | (76) aScalar0(xC) = 0 % 31.56/9.89 | (77) sziznziztdt0(xs) = xp % 31.56/9.89 | (78) sdtlbdtrb0(xt, all_0_13_13) = xB % 31.56/9.89 | (79) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0)) % 31.56/9.89 | (80) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v1) = v2) | ~ (szszuzczcdt0(v0) = v2) | ? [v3] : ? [v4] : (aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) % 31.56/9.89 | (81) aScalar0(xE) = 0 % 31.56/9.89 | (82) sdtasdt0(xA, xB) = xH % 31.56/9.89 | (83) ! [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))) % 31.56/9.89 | (84) ! [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)))) % 31.56/9.89 | (85) aScalar0(xA) = 0 % 31.56/9.89 | (86) ! [v0] : ( ~ (aVector0(v0) = 0) | ? [v1] : (aDimensionOf0(v0) = v1 & aNaturalNumber0(v1) = 0)) % 31.56/9.89 | (87) ! [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_13_13) = v12 & ( ~ (v12 = 0) | ~ (v11 = v10) | ~ (v9 = 0) | ~ (v8 = 0)))) % 31.56/9.89 | (88) ! [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)))))) % 31.56/9.89 | (89) sdtlseqdt0(all_0_4_4, all_0_2_2) = 0 % 31.56/9.89 | (90) ! [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)))) % 31.56/9.89 | (91) ! [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))) % 31.56/9.89 | (92) ! [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)))) % 31.56/9.89 | (93) sziznziztdt0(xt) = xq % 31.56/9.89 | (94) sdtlseqdt0(sz0z00, all_0_3_3) = 0 % 31.56/9.89 | (95) sdtlseqdt0(sz0z00, all_0_5_5) = 0 % 31.56/9.89 | (96) sdtpldt0(xR, xS) = all_0_3_3 % 31.56/9.89 | (97) sdtasdt0(xA, xA) = xF % 31.56/9.90 | (98) ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : (aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 31.56/9.90 | (99) ! [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))) % 31.56/9.90 | (100) aScalar0(xB) = 0 % 31.56/9.90 | (101) smndt0(sz0z00) = all_0_14_14 % 31.56/9.90 | (102) aNaturalNumber0(sz00) = 0 % 31.56/9.90 | (103) aScalar0(xF) = 0 % 31.56/9.90 | % 31.56/9.90 | Instantiating formula (61) with all_0_3_3, all_0_3_3 and discharging atoms sdtlseqdt0(sz0z00, all_0_3_3) = 0, yields: % 31.56/9.90 | (104) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_0_3_3, all_0_3_3) = v4 & sdtpldt0(all_0_3_3, all_0_3_3) = v2 & aScalar0(all_0_3_3) = v1 & aScalar0(all_0_3_3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0))) % 31.56/9.90 | % 31.56/9.90 | Instantiating formula (61) with all_0_5_5, all_0_3_3 and discharging atoms sdtlseqdt0(sz0z00, all_0_3_3) = 0, sdtlseqdt0(sz0z00, all_0_5_5) = 0, yields: % 31.56/9.90 | (105) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_0_3_3, all_0_5_5) = v4 & sdtpldt0(all_0_3_3, all_0_5_5) = v2 & aScalar0(all_0_3_3) = v0 & aScalar0(all_0_5_5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0))) % 31.56/9.90 | % 31.56/9.90 | Instantiating formula (61) with all_0_3_3, all_0_5_5 and discharging atoms sdtlseqdt0(sz0z00, all_0_3_3) = 0, sdtlseqdt0(sz0z00, all_0_5_5) = 0, yields: % 31.56/9.90 | (106) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_0_5_5, all_0_3_3) = v4 & sdtpldt0(all_0_5_5, all_0_3_3) = v2 & aScalar0(all_0_3_3) = v1 & aScalar0(all_0_5_5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0))) % 31.56/9.90 | % 31.56/9.90 | Instantiating formula (61) with all_0_5_5, all_0_5_5 and discharging atoms sdtlseqdt0(sz0z00, all_0_5_5) = 0, yields: % 31.56/9.90 | (107) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_0_5_5, all_0_5_5) = v4 & sdtpldt0(all_0_5_5, all_0_5_5) = v2 & aScalar0(all_0_5_5) = v1 & aScalar0(all_0_5_5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0))) % 31.56/9.90 | % 31.56/9.90 | Instantiating formula (36) with all_0_2_2, all_0_3_3 and discharging atoms sdtasdt0(all_0_3_3, all_0_3_3) = all_0_2_2, yields: % 31.56/9.90 | (108) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_2_2) = v1 & aScalar0(all_0_3_3) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 31.56/9.90 | % 31.56/9.90 | Instantiating formula (45) with all_0_2_2, all_0_3_3, all_0_3_3 and discharging atoms sdtasdt0(all_0_3_3, all_0_3_3) = all_0_2_2, yields: % 31.56/9.90 | (109) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_2_2) = v2 & aScalar0(all_0_3_3) = v1 & aScalar0(all_0_3_3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 31.56/9.90 | % 31.56/9.90 | Instantiating formula (10) with all_0_0_0, all_0_4_4, all_0_2_2, all_0_5_5, all_0_3_3, all_0_5_5, all_0_3_3 and discharging atoms sdtlseqdt0(all_0_2_2, all_0_4_4) = all_0_0_0, sdtasdt0(all_0_3_3, all_0_3_3) = all_0_2_2, sdtasdt0(all_0_5_5, all_0_5_5) = all_0_4_4, yields: % 31.56/9.90 | (110) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(all_0_3_3, all_0_5_5) = v6 & sdtlseqdt0(all_0_3_3, all_0_5_5) = v4 & sdtlseqdt0(sz0z00, all_0_3_3) = v5 & aScalar0(all_0_3_3) = v2 & aScalar0(all_0_3_3) = v0 & aScalar0(all_0_5_5) = v3 & aScalar0(all_0_5_5) = v1 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 31.56/9.90 | % 31.56/9.90 | Instantiating formula (36) with all_0_4_4, all_0_5_5 and discharging atoms sdtasdt0(all_0_5_5, all_0_5_5) = all_0_4_4, yields: % 31.56/9.90 | (111) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_4_4) = v1 & aScalar0(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 31.56/9.90 | % 31.56/9.90 | Instantiating formula (45) with all_0_4_4, all_0_5_5, all_0_5_5 and discharging atoms sdtasdt0(all_0_5_5, all_0_5_5) = all_0_4_4, yields: % 31.56/9.90 | (112) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_4_4) = v2 & aScalar0(all_0_5_5) = v1 & aScalar0(all_0_5_5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 31.56/9.90 | % 31.56/9.90 | Instantiating formula (36) with all_0_7_7, xS and discharging atoms sdtasdt0(xS, xS) = all_0_7_7, yields: % 31.56/9.90 | (113) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_7_7) = v1 & aScalar0(xS) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 31.56/9.90 | % 31.56/9.90 | Instantiating formula (45) with all_0_7_7, xS, xS and discharging atoms sdtasdt0(xS, xS) = all_0_7_7, yields: % 31.56/9.90 | (114) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_7_7) = v2 & aScalar0(xS) = v1 & aScalar0(xS) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 31.56/9.90 | % 31.56/9.90 | Instantiating formula (36) with all_0_10_10, xP and discharging atoms sdtasdt0(xP, xP) = all_0_10_10, yields: % 31.56/9.90 | (115) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_10_10) = v1 & aScalar0(xP) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 31.56/9.90 | % 31.56/9.90 | Instantiating formula (36) with all_0_8_8, xR and discharging atoms sdtasdt0(xR, xR) = all_0_8_8, yields: % 31.56/9.90 | (116) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_8_8) = v1 & aScalar0(xR) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 31.56/9.90 | % 31.56/9.90 | Instantiating formula (45) with all_0_8_8, xR, xR and discharging atoms sdtasdt0(xR, xR) = all_0_8_8, yields: % 31.56/9.90 | (117) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_8_8) = v2 & aScalar0(xR) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 31.56/9.90 | % 31.56/9.90 | Instantiating formula (90) with all_0_9_9, all_0_10_10, all_0_10_10, xP, xP, xP and discharging atoms sdtasdt0(xP, xP) = all_0_10_10, sdtpldt0(all_0_10_10, all_0_10_10) = all_0_9_9, yields: % 31.56/9.90 | (118) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (sdtasdt0(v5, xP) = v6 & sdtasdt0(xP, v3) = v4 & sdtasdt0(xP, xP) = v7 & sdtpldt0(all_0_10_10, v7) = v8 & sdtpldt0(xP, xP) = v5 & sdtpldt0(xP, xP) = v3 & aScalar0(xP) = v2 & aScalar0(xP) = v1 & aScalar0(xP) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v8 = v6 & v4 = all_0_9_9))) % 31.56/9.90 | % 31.56/9.90 | Instantiating formula (71) with all_0_5_5, xP, xP and discharging atoms sdtpldt0(xP, xP) = all_0_5_5, yields: % 31.56/9.90 | (119) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_5_5) = v2 & aScalar0(xP) = v1 & aScalar0(xP) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 31.56/9.90 | % 31.56/9.90 | Instantiating formula (69) with all_0_1_1, all_0_3_3, all_0_5_5, xS, xP, xR, xP and discharging atoms sdtlseqdt0(all_0_5_5, all_0_3_3) = all_0_1_1, sdtpldt0(xP, xP) = all_0_5_5, sdtpldt0(xR, xS) = all_0_3_3, yields: % 31.56/9.90 | (120) all_0_1_1 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(xP, xS) = v5 & sdtlseqdt0(xP, xR) = v4 & aScalar0(xS) = v3 & aScalar0(xP) = v2 & aScalar0(xP) = v0 & aScalar0(xR) = v1 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 31.56/9.90 | % 31.56/9.90 | Instantiating formula (71) with all_0_3_3, xS, xR and discharging atoms sdtpldt0(xR, xS) = all_0_3_3, yields: % 31.56/9.90 | (121) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_3_3) = v2 & aScalar0(xS) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 31.56/9.90 | % 31.56/9.90 | Instantiating (121) with all_8_0_15, all_8_1_16, all_8_2_17 yields: % 31.56/9.90 | (122) aScalar0(all_0_3_3) = all_8_0_15 & aScalar0(xS) = all_8_1_16 & aScalar0(xR) = all_8_2_17 & ( ~ (all_8_1_16 = 0) | ~ (all_8_2_17 = 0) | all_8_0_15 = 0) % 31.56/9.90 | % 31.56/9.90 | Applying alpha-rule on (122) yields: % 31.56/9.90 | (123) aScalar0(all_0_3_3) = all_8_0_15 % 31.56/9.90 | (124) aScalar0(xS) = all_8_1_16 % 31.56/9.90 | (125) aScalar0(xR) = all_8_2_17 % 31.56/9.90 | (126) ~ (all_8_1_16 = 0) | ~ (all_8_2_17 = 0) | all_8_0_15 = 0 % 31.56/9.90 | % 31.56/9.90 | Instantiating (104) with all_14_0_23, all_14_1_24, all_14_2_25, all_14_3_26, all_14_4_27, all_14_5_28 yields: % 31.56/9.90 | (127) sdtlseqdt0(sz0z00, all_14_1_24) = all_14_0_23 & sdtlseqdt0(sz0z00, all_14_3_26) = all_14_2_25 & sdtasdt0(all_0_3_3, all_0_3_3) = all_14_1_24 & sdtpldt0(all_0_3_3, all_0_3_3) = all_14_3_26 & aScalar0(all_0_3_3) = all_14_4_27 & aScalar0(all_0_3_3) = all_14_5_28 & ( ~ (all_14_4_27 = 0) | ~ (all_14_5_28 = 0) | (all_14_0_23 = 0 & all_14_2_25 = 0)) % 31.56/9.90 | % 31.56/9.90 | Applying alpha-rule on (127) yields: % 31.56/9.90 | (128) sdtasdt0(all_0_3_3, all_0_3_3) = all_14_1_24 % 31.56/9.90 | (129) aScalar0(all_0_3_3) = all_14_5_28 % 31.56/9.90 | (130) aScalar0(all_0_3_3) = all_14_4_27 % 31.56/9.90 | (131) sdtlseqdt0(sz0z00, all_14_1_24) = all_14_0_23 % 31.56/9.90 | (132) sdtpldt0(all_0_3_3, all_0_3_3) = all_14_3_26 % 31.56/9.90 | (133) sdtlseqdt0(sz0z00, all_14_3_26) = all_14_2_25 % 31.56/9.90 | (134) ~ (all_14_4_27 = 0) | ~ (all_14_5_28 = 0) | (all_14_0_23 = 0 & all_14_2_25 = 0) % 31.56/9.90 | % 31.56/9.90 | Instantiating (116) with all_42_0_80, all_42_1_81 yields: % 31.56/9.90 | (135) sdtlseqdt0(sz0z00, all_0_8_8) = all_42_0_80 & aScalar0(xR) = all_42_1_81 & ( ~ (all_42_1_81 = 0) | all_42_0_80 = 0) % 31.56/9.90 | % 31.56/9.90 | Applying alpha-rule on (135) yields: % 31.56/9.90 | (136) sdtlseqdt0(sz0z00, all_0_8_8) = all_42_0_80 % 31.56/9.91 | (137) aScalar0(xR) = all_42_1_81 % 31.56/9.91 | (138) ~ (all_42_1_81 = 0) | all_42_0_80 = 0 % 31.56/9.91 | % 31.56/9.91 | Instantiating (112) with all_44_0_82, all_44_1_83, all_44_2_84 yields: % 31.56/9.91 | (139) aScalar0(all_0_4_4) = all_44_0_82 & aScalar0(all_0_5_5) = all_44_1_83 & aScalar0(all_0_5_5) = all_44_2_84 & ( ~ (all_44_1_83 = 0) | ~ (all_44_2_84 = 0) | all_44_0_82 = 0) % 31.56/9.91 | % 31.56/9.91 | Applying alpha-rule on (139) yields: % 31.56/9.91 | (140) aScalar0(all_0_4_4) = all_44_0_82 % 31.56/9.91 | (141) aScalar0(all_0_5_5) = all_44_1_83 % 31.56/9.91 | (142) aScalar0(all_0_5_5) = all_44_2_84 % 31.56/9.91 | (143) ~ (all_44_1_83 = 0) | ~ (all_44_2_84 = 0) | all_44_0_82 = 0 % 31.56/9.91 | % 31.56/9.91 | Instantiating (108) with all_46_0_85, all_46_1_86 yields: % 31.56/9.91 | (144) sdtlseqdt0(sz0z00, all_0_2_2) = all_46_0_85 & aScalar0(all_0_3_3) = all_46_1_86 & ( ~ (all_46_1_86 = 0) | all_46_0_85 = 0) % 31.56/9.91 | % 31.56/9.91 | Applying alpha-rule on (144) yields: % 31.56/9.91 | (145) sdtlseqdt0(sz0z00, all_0_2_2) = all_46_0_85 % 31.56/9.91 | (146) aScalar0(all_0_3_3) = all_46_1_86 % 31.56/9.91 | (147) ~ (all_46_1_86 = 0) | all_46_0_85 = 0 % 31.56/9.91 | % 31.56/9.91 | Instantiating (107) with all_48_0_87, all_48_1_88, all_48_2_89, all_48_3_90, all_48_4_91, all_48_5_92 yields: % 31.56/9.91 | (148) sdtlseqdt0(sz0z00, all_48_1_88) = all_48_0_87 & sdtlseqdt0(sz0z00, all_48_3_90) = all_48_2_89 & sdtasdt0(all_0_5_5, all_0_5_5) = all_48_1_88 & sdtpldt0(all_0_5_5, all_0_5_5) = all_48_3_90 & aScalar0(all_0_5_5) = all_48_4_91 & aScalar0(all_0_5_5) = all_48_5_92 & ( ~ (all_48_4_91 = 0) | ~ (all_48_5_92 = 0) | (all_48_0_87 = 0 & all_48_2_89 = 0)) % 31.56/9.91 | % 31.56/9.91 | Applying alpha-rule on (148) yields: % 31.56/9.91 | (149) ~ (all_48_4_91 = 0) | ~ (all_48_5_92 = 0) | (all_48_0_87 = 0 & all_48_2_89 = 0) % 31.56/9.91 | (150) aScalar0(all_0_5_5) = all_48_5_92 % 31.56/9.91 | (151) sdtpldt0(all_0_5_5, all_0_5_5) = all_48_3_90 % 31.56/9.91 | (152) aScalar0(all_0_5_5) = all_48_4_91 % 31.56/9.91 | (153) sdtlseqdt0(sz0z00, all_48_3_90) = all_48_2_89 % 31.56/9.91 | (154) sdtlseqdt0(sz0z00, all_48_1_88) = all_48_0_87 % 31.78/9.91 | (155) sdtasdt0(all_0_5_5, all_0_5_5) = all_48_1_88 % 31.78/9.91 | % 31.78/9.91 | Instantiating (111) with all_50_0_93, all_50_1_94 yields: % 31.78/9.91 | (156) sdtlseqdt0(sz0z00, all_0_4_4) = all_50_0_93 & aScalar0(all_0_5_5) = all_50_1_94 & ( ~ (all_50_1_94 = 0) | all_50_0_93 = 0) % 31.78/9.91 | % 31.78/9.91 | Applying alpha-rule on (156) yields: % 31.78/9.91 | (157) sdtlseqdt0(sz0z00, all_0_4_4) = all_50_0_93 % 31.78/9.91 | (158) aScalar0(all_0_5_5) = all_50_1_94 % 31.78/9.91 | (159) ~ (all_50_1_94 = 0) | all_50_0_93 = 0 % 31.78/9.91 | % 31.78/9.91 | Instantiating (109) with all_52_0_95, all_52_1_96, all_52_2_97 yields: % 31.78/9.91 | (160) aScalar0(all_0_2_2) = all_52_0_95 & aScalar0(all_0_3_3) = all_52_1_96 & aScalar0(all_0_3_3) = all_52_2_97 & ( ~ (all_52_1_96 = 0) | ~ (all_52_2_97 = 0) | all_52_0_95 = 0) % 31.78/9.91 | % 31.78/9.91 | Applying alpha-rule on (160) yields: % 31.78/9.91 | (161) aScalar0(all_0_2_2) = all_52_0_95 % 31.78/9.91 | (162) aScalar0(all_0_3_3) = all_52_1_96 % 31.78/9.91 | (163) aScalar0(all_0_3_3) = all_52_2_97 % 31.78/9.91 | (164) ~ (all_52_1_96 = 0) | ~ (all_52_2_97 = 0) | all_52_0_95 = 0 % 31.78/9.91 | % 31.78/9.91 | Instantiating (106) with all_54_0_98, all_54_1_99, all_54_2_100, all_54_3_101, all_54_4_102, all_54_5_103 yields: % 31.78/9.91 | (165) sdtlseqdt0(sz0z00, all_54_1_99) = all_54_0_98 & sdtlseqdt0(sz0z00, all_54_3_101) = all_54_2_100 & sdtasdt0(all_0_5_5, all_0_3_3) = all_54_1_99 & sdtpldt0(all_0_5_5, all_0_3_3) = all_54_3_101 & aScalar0(all_0_3_3) = all_54_4_102 & aScalar0(all_0_5_5) = all_54_5_103 & ( ~ (all_54_4_102 = 0) | ~ (all_54_5_103 = 0) | (all_54_0_98 = 0 & all_54_2_100 = 0)) % 31.78/9.91 | % 31.78/9.91 | Applying alpha-rule on (165) yields: % 31.78/9.91 | (166) sdtlseqdt0(sz0z00, all_54_1_99) = all_54_0_98 % 31.78/9.91 | (167) sdtasdt0(all_0_5_5, all_0_3_3) = all_54_1_99 % 31.78/9.91 | (168) ~ (all_54_4_102 = 0) | ~ (all_54_5_103 = 0) | (all_54_0_98 = 0 & all_54_2_100 = 0) % 31.78/9.91 | (169) sdtpldt0(all_0_5_5, all_0_3_3) = all_54_3_101 % 31.78/9.91 | (170) aScalar0(all_0_5_5) = all_54_5_103 % 31.78/9.91 | (171) aScalar0(all_0_3_3) = all_54_4_102 % 31.78/9.91 | (172) sdtlseqdt0(sz0z00, all_54_3_101) = all_54_2_100 % 31.78/9.91 | % 31.78/9.91 | Instantiating (105) with all_62_0_109, all_62_1_110, all_62_2_111, all_62_3_112, all_62_4_113, all_62_5_114 yields: % 31.78/9.91 | (173) sdtlseqdt0(sz0z00, all_62_1_110) = all_62_0_109 & sdtlseqdt0(sz0z00, all_62_3_112) = all_62_2_111 & sdtasdt0(all_0_3_3, all_0_5_5) = all_62_1_110 & sdtpldt0(all_0_3_3, all_0_5_5) = all_62_3_112 & aScalar0(all_0_3_3) = all_62_5_114 & aScalar0(all_0_5_5) = all_62_4_113 & ( ~ (all_62_4_113 = 0) | ~ (all_62_5_114 = 0) | (all_62_0_109 = 0 & all_62_2_111 = 0)) % 31.78/9.91 | % 31.78/9.91 | Applying alpha-rule on (173) yields: % 31.78/9.91 | (174) sdtlseqdt0(sz0z00, all_62_3_112) = all_62_2_111 % 31.78/9.91 | (175) sdtpldt0(all_0_3_3, all_0_5_5) = all_62_3_112 % 31.78/9.91 | (176) ~ (all_62_4_113 = 0) | ~ (all_62_5_114 = 0) | (all_62_0_109 = 0 & all_62_2_111 = 0) % 31.78/9.91 | (177) aScalar0(all_0_5_5) = all_62_4_113 % 31.78/9.91 | (178) sdtasdt0(all_0_3_3, all_0_5_5) = all_62_1_110 % 31.78/9.91 | (179) aScalar0(all_0_3_3) = all_62_5_114 % 31.78/9.91 | (180) sdtlseqdt0(sz0z00, all_62_1_110) = all_62_0_109 % 31.78/9.91 | % 31.78/9.91 | Instantiating (119) with all_74_0_126, all_74_1_127, all_74_2_128 yields: % 31.78/9.91 | (181) aScalar0(all_0_5_5) = all_74_0_126 & aScalar0(xP) = all_74_1_127 & aScalar0(xP) = all_74_2_128 & ( ~ (all_74_1_127 = 0) | ~ (all_74_2_128 = 0) | all_74_0_126 = 0) % 31.78/9.91 | % 31.78/9.91 | Applying alpha-rule on (181) yields: % 31.78/9.91 | (182) aScalar0(all_0_5_5) = all_74_0_126 % 31.78/9.91 | (183) aScalar0(xP) = all_74_1_127 % 31.78/9.91 | (184) aScalar0(xP) = all_74_2_128 % 31.78/9.91 | (185) ~ (all_74_1_127 = 0) | ~ (all_74_2_128 = 0) | all_74_0_126 = 0 % 31.78/9.91 | % 31.78/9.91 | Instantiating (117) with all_76_0_129, all_76_1_130, all_76_2_131 yields: % 31.78/9.91 | (186) aScalar0(all_0_8_8) = all_76_0_129 & aScalar0(xR) = all_76_1_130 & aScalar0(xR) = all_76_2_131 & ( ~ (all_76_1_130 = 0) | ~ (all_76_2_131 = 0) | all_76_0_129 = 0) % 31.78/9.91 | % 31.78/9.91 | Applying alpha-rule on (186) yields: % 31.78/9.91 | (187) aScalar0(all_0_8_8) = all_76_0_129 % 31.78/9.91 | (188) aScalar0(xR) = all_76_1_130 % 31.78/9.91 | (189) aScalar0(xR) = all_76_2_131 % 31.78/9.91 | (190) ~ (all_76_1_130 = 0) | ~ (all_76_2_131 = 0) | all_76_0_129 = 0 % 31.78/9.91 | % 31.78/9.91 | Instantiating (115) with all_78_0_132, all_78_1_133 yields: % 31.78/9.91 | (191) sdtlseqdt0(sz0z00, all_0_10_10) = all_78_0_132 & aScalar0(xP) = all_78_1_133 & ( ~ (all_78_1_133 = 0) | all_78_0_132 = 0) % 31.78/9.91 | % 31.78/9.91 | Applying alpha-rule on (191) yields: % 31.78/9.91 | (192) sdtlseqdt0(sz0z00, all_0_10_10) = all_78_0_132 % 31.78/9.91 | (193) aScalar0(xP) = all_78_1_133 % 31.78/9.91 | (194) ~ (all_78_1_133 = 0) | all_78_0_132 = 0 % 31.78/9.91 | % 31.78/9.91 | Instantiating (114) with all_80_0_134, all_80_1_135, all_80_2_136 yields: % 31.78/9.91 | (195) aScalar0(all_0_7_7) = all_80_0_134 & aScalar0(xS) = all_80_1_135 & aScalar0(xS) = all_80_2_136 & ( ~ (all_80_1_135 = 0) | ~ (all_80_2_136 = 0) | all_80_0_134 = 0) % 31.78/9.91 | % 31.78/9.91 | Applying alpha-rule on (195) yields: % 31.78/9.91 | (196) aScalar0(all_0_7_7) = all_80_0_134 % 31.78/9.91 | (197) aScalar0(xS) = all_80_1_135 % 31.78/9.91 | (198) aScalar0(xS) = all_80_2_136 % 31.78/9.91 | (199) ~ (all_80_1_135 = 0) | ~ (all_80_2_136 = 0) | all_80_0_134 = 0 % 31.78/9.91 | % 31.78/9.91 | Instantiating (113) with all_82_0_137, all_82_1_138 yields: % 31.78/9.91 | (200) sdtlseqdt0(sz0z00, all_0_7_7) = all_82_0_137 & aScalar0(xS) = all_82_1_138 & ( ~ (all_82_1_138 = 0) | all_82_0_137 = 0) % 31.78/9.91 | % 31.78/9.91 | Applying alpha-rule on (200) yields: % 31.78/9.91 | (201) sdtlseqdt0(sz0z00, all_0_7_7) = all_82_0_137 % 31.78/9.91 | (202) aScalar0(xS) = all_82_1_138 % 31.78/9.91 | (203) ~ (all_82_1_138 = 0) | all_82_0_137 = 0 % 31.78/9.91 | % 31.78/9.91 | Instantiating (118) with all_88_0_151, all_88_1_152, all_88_2_153, all_88_3_154, all_88_4_155, all_88_5_156, all_88_6_157, all_88_7_158, all_88_8_159 yields: % 31.78/9.91 | (204) sdtasdt0(all_88_3_154, xP) = all_88_2_153 & sdtasdt0(xP, all_88_5_156) = all_88_4_155 & sdtasdt0(xP, xP) = all_88_1_152 & sdtpldt0(all_0_10_10, all_88_1_152) = all_88_0_151 & sdtpldt0(xP, xP) = all_88_3_154 & sdtpldt0(xP, xP) = all_88_5_156 & aScalar0(xP) = all_88_6_157 & aScalar0(xP) = all_88_7_158 & aScalar0(xP) = all_88_8_159 & ( ~ (all_88_6_157 = 0) | ~ (all_88_7_158 = 0) | ~ (all_88_8_159 = 0) | (all_88_0_151 = all_88_2_153 & all_88_4_155 = all_0_9_9)) % 31.78/9.91 | % 31.78/9.91 | Applying alpha-rule on (204) yields: % 31.78/9.91 | (205) aScalar0(xP) = all_88_8_159 % 31.78/9.91 | (206) ~ (all_88_6_157 = 0) | ~ (all_88_7_158 = 0) | ~ (all_88_8_159 = 0) | (all_88_0_151 = all_88_2_153 & all_88_4_155 = all_0_9_9) % 31.78/9.91 | (207) sdtpldt0(xP, xP) = all_88_5_156 % 31.78/9.91 | (208) sdtasdt0(all_88_3_154, xP) = all_88_2_153 % 31.78/9.91 | (209) sdtpldt0(all_0_10_10, all_88_1_152) = all_88_0_151 % 31.78/9.91 | (210) sdtasdt0(xP, xP) = all_88_1_152 % 31.78/9.91 | (211) aScalar0(xP) = all_88_7_158 % 31.78/9.91 | (212) aScalar0(xP) = all_88_6_157 % 31.78/9.91 | (213) sdtasdt0(xP, all_88_5_156) = all_88_4_155 % 31.78/9.91 | (214) sdtpldt0(xP, xP) = all_88_3_154 % 31.78/9.91 | % 31.78/9.91 +-Applying beta-rule and splitting (120), into two cases. % 31.78/9.91 |-Branch one: % 31.78/9.91 | (215) all_0_1_1 = 0 % 31.78/9.91 | % 31.78/9.91 | Equations (215) can reduce 43 to: % 31.78/9.91 | (216) $false % 31.78/9.91 | % 31.78/9.91 |-The branch is then unsatisfiable % 31.78/9.91 |-Branch two: % 31.78/9.91 | (43) ~ (all_0_1_1 = 0) % 31.78/9.91 | (218) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(xP, xS) = v5 & sdtlseqdt0(xP, xR) = v4 & aScalar0(xS) = v3 & aScalar0(xP) = v2 & aScalar0(xP) = v0 & aScalar0(xR) = v1 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 31.78/9.91 | % 31.78/9.91 | Instantiating (218) with all_98_0_165, all_98_1_166, all_98_2_167, all_98_3_168, all_98_4_169, all_98_5_170 yields: % 31.78/9.91 | (219) sdtlseqdt0(xP, xS) = all_98_0_165 & sdtlseqdt0(xP, xR) = all_98_1_166 & aScalar0(xS) = all_98_2_167 & aScalar0(xP) = all_98_3_168 & aScalar0(xP) = all_98_5_170 & aScalar0(xR) = all_98_4_169 & ( ~ (all_98_0_165 = 0) | ~ (all_98_1_166 = 0) | ~ (all_98_2_167 = 0) | ~ (all_98_3_168 = 0) | ~ (all_98_4_169 = 0) | ~ (all_98_5_170 = 0)) % 31.78/9.91 | % 31.78/9.91 | Applying alpha-rule on (219) yields: % 31.78/9.91 | (220) ~ (all_98_0_165 = 0) | ~ (all_98_1_166 = 0) | ~ (all_98_2_167 = 0) | ~ (all_98_3_168 = 0) | ~ (all_98_4_169 = 0) | ~ (all_98_5_170 = 0) % 31.78/9.91 | (221) aScalar0(xP) = all_98_5_170 % 31.78/9.91 | (222) sdtlseqdt0(xP, xR) = all_98_1_166 % 31.78/9.91 | (223) aScalar0(xS) = all_98_2_167 % 31.78/9.92 | (224) aScalar0(xR) = all_98_4_169 % 31.78/9.92 | (225) aScalar0(xP) = all_98_3_168 % 31.78/9.92 | (226) sdtlseqdt0(xP, xS) = all_98_0_165 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with all_0_3_3, all_54_4_102, all_62_5_114 and discharging atoms aScalar0(all_0_3_3) = all_62_5_114, aScalar0(all_0_3_3) = all_54_4_102, yields: % 31.78/9.92 | (227) all_62_5_114 = all_54_4_102 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with all_0_3_3, all_52_1_96, all_54_4_102 and discharging atoms aScalar0(all_0_3_3) = all_54_4_102, aScalar0(all_0_3_3) = all_52_1_96, yields: % 31.78/9.92 | (228) all_54_4_102 = all_52_1_96 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with all_0_3_3, all_52_2_97, all_52_1_96 and discharging atoms aScalar0(all_0_3_3) = all_52_1_96, aScalar0(all_0_3_3) = all_52_2_97, yields: % 31.78/9.92 | (229) all_52_1_96 = all_52_2_97 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with all_0_3_3, all_46_1_86, all_62_5_114 and discharging atoms aScalar0(all_0_3_3) = all_62_5_114, aScalar0(all_0_3_3) = all_46_1_86, yields: % 31.78/9.92 | (230) all_62_5_114 = all_46_1_86 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with all_0_3_3, all_14_4_27, all_52_2_97 and discharging atoms aScalar0(all_0_3_3) = all_52_2_97, aScalar0(all_0_3_3) = all_14_4_27, yields: % 31.78/9.92 | (231) all_52_2_97 = all_14_4_27 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with all_0_3_3, all_14_5_28, all_14_4_27 and discharging atoms aScalar0(all_0_3_3) = all_14_4_27, aScalar0(all_0_3_3) = all_14_5_28, yields: % 31.78/9.92 | (232) all_14_4_27 = all_14_5_28 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with all_0_3_3, all_8_0_15, all_52_2_97 and discharging atoms aScalar0(all_0_3_3) = all_52_2_97, aScalar0(all_0_3_3) = all_8_0_15, yields: % 31.78/9.92 | (233) all_52_2_97 = all_8_0_15 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with all_0_5_5, all_50_1_94, all_74_0_126 and discharging atoms aScalar0(all_0_5_5) = all_74_0_126, aScalar0(all_0_5_5) = all_50_1_94, yields: % 31.78/9.92 | (234) all_74_0_126 = all_50_1_94 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with all_0_5_5, all_50_1_94, all_54_5_103 and discharging atoms aScalar0(all_0_5_5) = all_54_5_103, aScalar0(all_0_5_5) = all_50_1_94, yields: % 31.78/9.92 | (235) all_54_5_103 = all_50_1_94 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with all_0_5_5, all_48_4_91, all_54_5_103 and discharging atoms aScalar0(all_0_5_5) = all_54_5_103, aScalar0(all_0_5_5) = all_48_4_91, yields: % 31.78/9.92 | (236) all_54_5_103 = all_48_4_91 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with all_0_5_5, all_48_5_92, all_62_4_113 and discharging atoms aScalar0(all_0_5_5) = all_62_4_113, aScalar0(all_0_5_5) = all_48_5_92, yields: % 31.78/9.92 | (237) all_62_4_113 = all_48_5_92 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with all_0_5_5, all_48_5_92, all_54_5_103 and discharging atoms aScalar0(all_0_5_5) = all_54_5_103, aScalar0(all_0_5_5) = all_48_5_92, yields: % 31.78/9.92 | (238) all_54_5_103 = all_48_5_92 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with all_0_5_5, all_44_1_83, all_74_0_126 and discharging atoms aScalar0(all_0_5_5) = all_74_0_126, aScalar0(all_0_5_5) = all_44_1_83, yields: % 31.78/9.92 | (239) all_74_0_126 = all_44_1_83 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with all_0_5_5, all_44_2_84, all_62_4_113 and discharging atoms aScalar0(all_0_5_5) = all_62_4_113, aScalar0(all_0_5_5) = all_44_2_84, yields: % 31.78/9.92 | (240) all_62_4_113 = all_44_2_84 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with xS, all_98_2_167, 0 and discharging atoms aScalar0(xS) = all_98_2_167, aScalar0(xS) = 0, yields: % 31.78/9.92 | (241) all_98_2_167 = 0 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with xS, all_82_1_138, all_98_2_167 and discharging atoms aScalar0(xS) = all_98_2_167, aScalar0(xS) = all_82_1_138, yields: % 31.78/9.92 | (242) all_98_2_167 = all_82_1_138 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with xS, all_80_1_135, all_98_2_167 and discharging atoms aScalar0(xS) = all_98_2_167, aScalar0(xS) = all_80_1_135, yields: % 31.78/9.92 | (243) all_98_2_167 = all_80_1_135 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with xS, all_80_2_136, all_98_2_167 and discharging atoms aScalar0(xS) = all_98_2_167, aScalar0(xS) = all_80_2_136, yields: % 31.78/9.92 | (244) all_98_2_167 = all_80_2_136 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with xS, all_8_1_16, all_98_2_167 and discharging atoms aScalar0(xS) = all_98_2_167, aScalar0(xS) = all_8_1_16, yields: % 31.78/9.92 | (245) all_98_2_167 = all_8_1_16 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with xP, all_98_5_170, all_98_3_168 and discharging atoms aScalar0(xP) = all_98_3_168, aScalar0(xP) = all_98_5_170, yields: % 31.78/9.92 | (246) all_98_3_168 = all_98_5_170 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with xP, all_88_6_157, all_98_5_170 and discharging atoms aScalar0(xP) = all_98_5_170, aScalar0(xP) = all_88_6_157, yields: % 31.78/9.92 | (247) all_98_5_170 = all_88_6_157 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with xP, all_88_7_158, all_88_6_157 and discharging atoms aScalar0(xP) = all_88_6_157, aScalar0(xP) = all_88_7_158, yields: % 31.78/9.92 | (248) all_88_6_157 = all_88_7_158 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with xP, all_88_8_159, 0 and discharging atoms aScalar0(xP) = all_88_8_159, aScalar0(xP) = 0, yields: % 31.78/9.92 | (249) all_88_8_159 = 0 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with xP, all_88_8_159, all_88_7_158 and discharging atoms aScalar0(xP) = all_88_7_158, aScalar0(xP) = all_88_8_159, yields: % 31.78/9.92 | (250) all_88_7_158 = all_88_8_159 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with xP, all_78_1_133, all_98_3_168 and discharging atoms aScalar0(xP) = all_98_3_168, aScalar0(xP) = all_78_1_133, yields: % 31.78/9.92 | (251) all_98_3_168 = all_78_1_133 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with xP, all_74_1_127, all_88_8_159 and discharging atoms aScalar0(xP) = all_88_8_159, aScalar0(xP) = all_74_1_127, yields: % 31.78/9.92 | (252) all_88_8_159 = all_74_1_127 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with xP, all_74_2_128, all_74_1_127 and discharging atoms aScalar0(xP) = all_74_1_127, aScalar0(xP) = all_74_2_128, yields: % 31.78/9.92 | (253) all_74_1_127 = all_74_2_128 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with xR, all_98_4_169, 0 and discharging atoms aScalar0(xR) = all_98_4_169, aScalar0(xR) = 0, yields: % 31.78/9.92 | (254) all_98_4_169 = 0 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with xR, all_76_1_130, all_98_4_169 and discharging atoms aScalar0(xR) = all_98_4_169, aScalar0(xR) = all_76_1_130, yields: % 31.78/9.92 | (255) all_98_4_169 = all_76_1_130 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with xR, all_76_2_131, all_98_4_169 and discharging atoms aScalar0(xR) = all_98_4_169, aScalar0(xR) = all_76_2_131, yields: % 31.78/9.92 | (256) all_98_4_169 = all_76_2_131 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with xR, all_42_1_81, all_98_4_169 and discharging atoms aScalar0(xR) = all_98_4_169, aScalar0(xR) = all_42_1_81, yields: % 31.78/9.92 | (257) all_98_4_169 = all_42_1_81 % 31.78/9.92 | % 31.78/9.92 | Instantiating formula (44) with xR, all_8_2_17, all_42_1_81 and discharging atoms aScalar0(xR) = all_42_1_81, aScalar0(xR) = all_8_2_17, yields: % 31.78/9.92 | (258) all_42_1_81 = all_8_2_17 % 31.78/9.92 | % 31.78/9.92 | Combining equations (241,242) yields a new equation: % 31.78/9.92 | (259) all_82_1_138 = 0 % 31.78/9.92 | % 31.78/9.92 | Combining equations (245,242) yields a new equation: % 31.78/9.92 | (260) all_82_1_138 = all_8_1_16 % 31.78/9.92 | % 31.78/9.92 | Combining equations (244,242) yields a new equation: % 31.78/9.92 | (261) all_82_1_138 = all_80_2_136 % 31.78/9.92 | % 31.78/9.92 | Combining equations (243,242) yields a new equation: % 31.78/9.92 | (262) all_82_1_138 = all_80_1_135 % 31.78/9.92 | % 31.78/9.92 | Combining equations (246,251) yields a new equation: % 31.78/9.92 | (263) all_98_5_170 = all_78_1_133 % 31.78/9.92 | % 31.78/9.92 | Simplifying 263 yields: % 31.78/9.92 | (264) all_98_5_170 = all_78_1_133 % 31.78/9.92 | % 31.78/9.92 | Combining equations (254,255) yields a new equation: % 31.78/9.92 | (265) all_76_1_130 = 0 % 31.78/9.92 | % 31.78/9.92 | Combining equations (256,255) yields a new equation: % 31.78/9.92 | (266) all_76_1_130 = all_76_2_131 % 31.78/9.92 | % 31.78/9.92 | Combining equations (257,255) yields a new equation: % 31.78/9.92 | (267) all_76_1_130 = all_42_1_81 % 31.78/9.92 | % 31.78/9.92 | Combining equations (247,264) yields a new equation: % 31.78/9.92 | (268) all_88_6_157 = all_78_1_133 % 31.78/9.92 | % 31.78/9.92 | Simplifying 268 yields: % 31.78/9.92 | (269) all_88_6_157 = all_78_1_133 % 31.78/9.92 | % 31.78/9.92 | Combining equations (248,269) yields a new equation: % 31.78/9.92 | (270) all_88_7_158 = all_78_1_133 % 31.78/9.92 | % 31.78/9.92 | Simplifying 270 yields: % 31.78/9.92 | (271) all_88_7_158 = all_78_1_133 % 31.78/9.92 | % 31.78/9.92 | Combining equations (250,271) yields a new equation: % 31.78/9.92 | (272) all_88_8_159 = all_78_1_133 % 31.78/9.92 | % 31.78/9.92 | Simplifying 272 yields: % 31.78/9.92 | (273) all_88_8_159 = all_78_1_133 % 31.78/9.92 | % 31.78/9.92 | Combining equations (249,273) yields a new equation: % 31.78/9.92 | (274) all_78_1_133 = 0 % 31.78/9.92 | % 31.78/9.92 | Combining equations (252,273) yields a new equation: % 31.78/9.92 | (275) all_78_1_133 = all_74_1_127 % 31.78/9.92 | % 31.78/9.92 | Combining equations (259,262) yields a new equation: % 31.78/9.92 | (276) all_80_1_135 = 0 % 31.78/9.92 | % 31.78/9.92 | Combining equations (261,262) yields a new equation: % 31.78/9.92 | (277) all_80_1_135 = all_80_2_136 % 31.78/9.92 | % 31.78/9.92 | Combining equations (260,262) yields a new equation: % 31.78/9.92 | (278) all_80_1_135 = all_8_1_16 % 31.78/9.92 | % 31.78/9.92 | Combining equations (276,277) yields a new equation: % 31.78/9.92 | (279) all_80_2_136 = 0 % 31.78/9.92 | % 31.78/9.92 | Combining equations (278,277) yields a new equation: % 31.78/9.92 | (280) all_80_2_136 = all_8_1_16 % 31.78/9.92 | % 31.78/9.92 | Combining equations (280,279) yields a new equation: % 31.78/9.92 | (281) all_8_1_16 = 0 % 31.78/9.92 | % 31.78/9.92 | Simplifying 281 yields: % 31.78/9.92 | (282) all_8_1_16 = 0 % 31.78/9.92 | % 31.78/9.92 | Combining equations (275,274) yields a new equation: % 31.78/9.92 | (283) all_74_1_127 = 0 % 31.78/9.92 | % 31.78/9.92 | Simplifying 283 yields: % 31.78/9.92 | (284) all_74_1_127 = 0 % 31.78/9.92 | % 31.78/9.92 | Combining equations (265,266) yields a new equation: % 31.78/9.92 | (285) all_76_2_131 = 0 % 31.78/9.92 | % 31.78/9.92 | Combining equations (267,266) yields a new equation: % 31.78/9.92 | (286) all_76_2_131 = all_42_1_81 % 31.78/9.92 | % 31.78/9.92 | Combining equations (286,285) yields a new equation: % 31.78/9.92 | (287) all_42_1_81 = 0 % 31.78/9.92 | % 31.78/9.92 | Simplifying 287 yields: % 31.78/9.92 | (288) all_42_1_81 = 0 % 31.78/9.92 | % 31.78/9.92 | Combining equations (234,239) yields a new equation: % 31.78/9.92 | (289) all_50_1_94 = all_44_1_83 % 31.78/9.92 | % 31.78/9.92 | Simplifying 289 yields: % 31.78/9.92 | (290) all_50_1_94 = all_44_1_83 % 31.78/9.92 | % 31.78/9.92 | Combining equations (253,284) yields a new equation: % 31.78/9.92 | (291) all_74_2_128 = 0 % 31.78/9.92 | % 31.78/9.92 | Simplifying 291 yields: % 31.78/9.92 | (292) all_74_2_128 = 0 % 31.78/9.92 | % 31.78/9.92 | Combining equations (237,240) yields a new equation: % 31.78/9.92 | (293) all_48_5_92 = all_44_2_84 % 31.78/9.92 | % 31.78/9.92 | Simplifying 293 yields: % 31.78/9.92 | (294) all_48_5_92 = all_44_2_84 % 31.78/9.92 | % 31.78/9.92 | Combining equations (227,230) yields a new equation: % 31.78/9.92 | (295) all_54_4_102 = all_46_1_86 % 31.78/9.92 | % 31.78/9.92 | Simplifying 295 yields: % 31.78/9.92 | (296) all_54_4_102 = all_46_1_86 % 31.78/9.92 | % 31.78/9.92 | Combining equations (228,296) yields a new equation: % 31.78/9.92 | (297) all_52_1_96 = all_46_1_86 % 31.78/9.92 | % 31.78/9.92 | Simplifying 297 yields: % 31.78/9.92 | (298) all_52_1_96 = all_46_1_86 % 31.78/9.92 | % 31.78/9.92 | Combining equations (235,236) yields a new equation: % 31.78/9.92 | (299) all_50_1_94 = all_48_4_91 % 31.78/9.92 | % 31.78/9.92 | Simplifying 299 yields: % 31.78/9.92 | (300) all_50_1_94 = all_48_4_91 % 31.78/9.92 | % 31.78/9.92 | Combining equations (238,236) yields a new equation: % 31.78/9.92 | (301) all_48_4_91 = all_48_5_92 % 31.78/9.92 | % 31.78/9.92 | Combining equations (229,298) yields a new equation: % 31.78/9.92 | (302) all_52_2_97 = all_46_1_86 % 31.78/9.92 | % 31.78/9.92 | Simplifying 302 yields: % 31.78/9.92 | (303) all_52_2_97 = all_46_1_86 % 31.78/9.92 | % 31.78/9.92 | Combining equations (233,303) yields a new equation: % 31.78/9.92 | (304) all_46_1_86 = all_8_0_15 % 31.78/9.93 | % 31.78/9.93 | Combining equations (231,303) yields a new equation: % 31.78/9.93 | (305) all_46_1_86 = all_14_4_27 % 31.78/9.93 | % 31.78/9.93 | Combining equations (300,290) yields a new equation: % 31.78/9.93 | (306) all_48_4_91 = all_44_1_83 % 31.78/9.93 | % 31.78/9.93 | Simplifying 306 yields: % 31.78/9.93 | (307) all_48_4_91 = all_44_1_83 % 31.78/9.93 | % 31.78/9.93 | Combining equations (301,307) yields a new equation: % 31.78/9.93 | (308) all_48_5_92 = all_44_1_83 % 31.78/9.93 | % 31.78/9.93 | Simplifying 308 yields: % 31.78/9.93 | (309) all_48_5_92 = all_44_1_83 % 31.78/9.93 | % 31.78/9.93 | Combining equations (294,309) yields a new equation: % 31.78/9.93 | (310) all_44_1_83 = all_44_2_84 % 31.78/9.93 | % 31.78/9.93 | Combining equations (305,304) yields a new equation: % 31.78/9.93 | (311) all_14_4_27 = all_8_0_15 % 31.78/9.93 | % 31.78/9.93 | Simplifying 311 yields: % 31.78/9.93 | (312) all_14_4_27 = all_8_0_15 % 31.78/9.93 | % 31.78/9.93 | Combining equations (258,288) yields a new equation: % 31.78/9.93 | (313) all_8_2_17 = 0 % 31.78/9.93 | % 31.78/9.93 | Simplifying 313 yields: % 31.78/9.93 | (314) all_8_2_17 = 0 % 31.78/9.93 | % 31.78/9.93 | Combining equations (232,312) yields a new equation: % 31.78/9.93 | (315) all_14_5_28 = all_8_0_15 % 31.78/9.93 | % 31.78/9.93 | Simplifying 315 yields: % 31.78/9.93 | (316) all_14_5_28 = all_8_0_15 % 31.78/9.93 | % 31.78/9.93 | Combining equations (310,239) yields a new equation: % 31.78/9.93 | (317) all_74_0_126 = all_44_2_84 % 31.78/9.93 | % 31.78/9.93 | From (316) and (129) follows: % 31.78/9.93 | (123) aScalar0(all_0_3_3) = all_8_0_15 % 31.78/9.93 | % 31.78/9.93 | From (310) and (141) follows: % 31.78/9.93 | (142) aScalar0(all_0_5_5) = all_44_2_84 % 31.78/9.93 | % 31.78/9.93 +-Applying beta-rule and splitting (185), into two cases. % 31.78/9.93 |-Branch one: % 31.78/9.93 | (320) ~ (all_74_1_127 = 0) % 31.78/9.93 | % 31.78/9.93 | Equations (284) can reduce 320 to: % 31.78/9.93 | (216) $false % 31.78/9.93 | % 31.78/9.93 |-The branch is then unsatisfiable % 31.78/9.93 |-Branch two: % 31.78/9.93 | (284) all_74_1_127 = 0 % 31.78/9.93 | (323) ~ (all_74_2_128 = 0) | all_74_0_126 = 0 % 31.78/9.93 | % 31.78/9.93 +-Applying beta-rule and splitting (323), into two cases. % 31.78/9.93 |-Branch one: % 31.78/9.93 | (324) ~ (all_74_2_128 = 0) % 31.78/9.93 | % 31.78/9.93 | Equations (292) can reduce 324 to: % 31.78/9.93 | (216) $false % 31.78/9.93 | % 31.78/9.93 |-The branch is then unsatisfiable % 31.78/9.93 |-Branch two: % 31.78/9.93 | (292) all_74_2_128 = 0 % 31.78/9.93 | (327) all_74_0_126 = 0 % 31.78/9.93 | % 31.78/9.93 | Combining equations (327,317) yields a new equation: % 31.78/9.93 | (328) all_44_2_84 = 0 % 31.78/9.93 | % 31.78/9.93 | From (328) and (142) follows: % 31.78/9.93 | (329) aScalar0(all_0_5_5) = 0 % 31.78/9.93 | % 31.78/9.93 +-Applying beta-rule and splitting (126), into two cases. % 31.78/9.93 |-Branch one: % 31.78/9.93 | (330) ~ (all_8_1_16 = 0) % 31.78/9.93 | % 31.78/9.93 | Equations (282) can reduce 330 to: % 31.78/9.93 | (216) $false % 31.78/9.93 | % 31.78/9.93 |-The branch is then unsatisfiable % 31.78/9.93 |-Branch two: % 31.78/9.93 | (282) all_8_1_16 = 0 % 31.78/9.93 | (333) ~ (all_8_2_17 = 0) | all_8_0_15 = 0 % 31.78/9.93 | % 31.78/9.93 +-Applying beta-rule and splitting (333), into two cases. % 31.78/9.93 |-Branch one: % 31.78/9.93 | (334) ~ (all_8_2_17 = 0) % 31.78/9.93 | % 31.78/9.93 | Equations (314) can reduce 334 to: % 31.78/9.93 | (216) $false % 31.78/9.93 | % 31.78/9.93 |-The branch is then unsatisfiable % 31.78/9.93 |-Branch two: % 31.78/9.93 | (314) all_8_2_17 = 0 % 31.78/9.93 | (337) all_8_0_15 = 0 % 31.78/9.93 | % 31.78/9.93 | From (337) and (123) follows: % 31.78/9.93 | (338) aScalar0(all_0_3_3) = 0 % 31.78/9.93 | % 31.78/9.93 +-Applying beta-rule and splitting (110), into two cases. % 31.78/9.93 |-Branch one: % 31.78/9.93 | (339) all_0_0_0 = 0 % 31.78/9.93 | % 31.78/9.93 | Equations (339) can reduce 64 to: % 31.78/9.93 | (216) $false % 31.78/9.93 | % 31.78/9.93 |-The branch is then unsatisfiable % 31.78/9.93 |-Branch two: % 31.78/9.93 | (64) ~ (all_0_0_0 = 0) % 31.78/9.93 | (342) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(all_0_3_3, all_0_5_5) = v6 & sdtlseqdt0(all_0_3_3, all_0_5_5) = v4 & sdtlseqdt0(sz0z00, all_0_3_3) = v5 & aScalar0(all_0_3_3) = v2 & aScalar0(all_0_3_3) = v0 & aScalar0(all_0_5_5) = v3 & aScalar0(all_0_5_5) = v1 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 31.78/9.93 | % 31.78/9.93 | Instantiating (342) with all_290_0_177, all_290_1_178, all_290_2_179, all_290_3_180, all_290_4_181, all_290_5_182, all_290_6_183 yields: % 31.78/9.93 | (343) sdtlseqdt0(all_0_3_3, all_0_5_5) = all_290_0_177 & sdtlseqdt0(all_0_3_3, all_0_5_5) = all_290_2_179 & sdtlseqdt0(sz0z00, all_0_3_3) = all_290_1_178 & aScalar0(all_0_3_3) = all_290_4_181 & aScalar0(all_0_3_3) = all_290_6_183 & aScalar0(all_0_5_5) = all_290_3_180 & aScalar0(all_0_5_5) = all_290_5_182 & ( ~ (all_290_0_177 = 0) | ~ (all_290_1_178 = 0) | ~ (all_290_2_179 = 0) | ~ (all_290_3_180 = 0) | ~ (all_290_4_181 = 0) | ~ (all_290_5_182 = 0) | ~ (all_290_6_183 = 0)) % 31.78/9.93 | % 31.78/9.93 | Applying alpha-rule on (343) yields: % 31.78/9.93 | (344) sdtlseqdt0(all_0_3_3, all_0_5_5) = all_290_0_177 % 31.78/9.93 | (345) ~ (all_290_0_177 = 0) | ~ (all_290_1_178 = 0) | ~ (all_290_2_179 = 0) | ~ (all_290_3_180 = 0) | ~ (all_290_4_181 = 0) | ~ (all_290_5_182 = 0) | ~ (all_290_6_183 = 0) % 31.78/9.93 | (346) aScalar0(all_0_5_5) = all_290_5_182 % 31.78/9.93 | (347) aScalar0(all_0_5_5) = all_290_3_180 % 31.78/9.93 | (348) sdtlseqdt0(all_0_3_3, all_0_5_5) = all_290_2_179 % 31.78/9.93 | (349) aScalar0(all_0_3_3) = all_290_4_181 % 31.78/9.93 | (350) sdtlseqdt0(sz0z00, all_0_3_3) = all_290_1_178 % 31.78/9.93 | (351) aScalar0(all_0_3_3) = all_290_6_183 % 31.78/9.93 | % 31.78/9.93 | Instantiating formula (51) with all_0_3_3, all_0_5_5, all_290_0_177, 0 and discharging atoms sdtlseqdt0(all_0_3_3, all_0_5_5) = all_290_0_177, sdtlseqdt0(all_0_3_3, all_0_5_5) = 0, yields: % 31.78/9.93 | (352) all_290_0_177 = 0 % 31.78/9.93 | % 31.78/9.93 | Instantiating formula (51) with all_0_3_3, all_0_5_5, all_290_2_179, all_290_0_177 and discharging atoms sdtlseqdt0(all_0_3_3, all_0_5_5) = all_290_0_177, sdtlseqdt0(all_0_3_3, all_0_5_5) = all_290_2_179, yields: % 31.78/9.93 | (353) all_290_0_177 = all_290_2_179 % 31.78/9.93 | % 31.78/9.93 | Instantiating formula (51) with sz0z00, all_0_3_3, all_290_1_178, 0 and discharging atoms sdtlseqdt0(sz0z00, all_0_3_3) = all_290_1_178, sdtlseqdt0(sz0z00, all_0_3_3) = 0, yields: % 31.78/9.93 | (354) all_290_1_178 = 0 % 31.78/9.93 | % 31.78/9.93 | Instantiating formula (44) with all_0_3_3, all_290_4_181, 0 and discharging atoms aScalar0(all_0_3_3) = all_290_4_181, aScalar0(all_0_3_3) = 0, yields: % 31.78/9.93 | (355) all_290_4_181 = 0 % 31.78/9.93 | % 31.78/9.93 | Instantiating formula (44) with all_0_3_3, all_290_6_183, all_290_4_181 and discharging atoms aScalar0(all_0_3_3) = all_290_4_181, aScalar0(all_0_3_3) = all_290_6_183, yields: % 31.78/9.93 | (356) all_290_4_181 = all_290_6_183 % 31.78/9.93 | % 31.78/9.93 | Instantiating formula (44) with all_0_5_5, all_290_3_180, 0 and discharging atoms aScalar0(all_0_5_5) = all_290_3_180, aScalar0(all_0_5_5) = 0, yields: % 31.78/9.93 | (357) all_290_3_180 = 0 % 31.78/9.93 | % 31.78/9.93 | Instantiating formula (44) with all_0_5_5, all_290_5_182, all_290_3_180 and discharging atoms aScalar0(all_0_5_5) = all_290_3_180, aScalar0(all_0_5_5) = all_290_5_182, yields: % 31.78/9.93 | (358) all_290_3_180 = all_290_5_182 % 31.78/9.93 | % 31.78/9.93 | Combining equations (352,353) yields a new equation: % 31.78/9.93 | (359) all_290_2_179 = 0 % 31.78/9.93 | % 31.78/9.93 | Combining equations (357,358) yields a new equation: % 31.78/9.93 | (360) all_290_5_182 = 0 % 31.78/9.93 | % 31.78/9.93 | Combining equations (355,356) yields a new equation: % 31.78/9.93 | (361) all_290_6_183 = 0 % 31.78/9.93 | % 31.78/9.93 | Combining equations (361,356) yields a new equation: % 31.78/9.93 | (355) all_290_4_181 = 0 % 31.78/9.93 | % 31.78/9.93 | Combining equations (360,358) yields a new equation: % 31.78/9.93 | (357) all_290_3_180 = 0 % 31.78/9.93 | % 31.78/9.93 | Combining equations (359,353) yields a new equation: % 31.78/9.93 | (352) all_290_0_177 = 0 % 31.78/9.93 | % 31.78/9.93 +-Applying beta-rule and splitting (345), into two cases. % 31.78/9.93 |-Branch one: % 31.78/9.93 | (365) ~ (all_290_0_177 = 0) % 31.78/9.93 | % 31.78/9.93 | Equations (352) can reduce 365 to: % 31.78/9.93 | (216) $false % 31.78/9.93 | % 31.78/9.93 |-The branch is then unsatisfiable % 31.78/9.93 |-Branch two: % 31.78/9.93 | (352) all_290_0_177 = 0 % 31.78/9.93 | (368) ~ (all_290_1_178 = 0) | ~ (all_290_2_179 = 0) | ~ (all_290_3_180 = 0) | ~ (all_290_4_181 = 0) | ~ (all_290_5_182 = 0) | ~ (all_290_6_183 = 0) % 31.78/9.93 | % 31.78/9.93 +-Applying beta-rule and splitting (368), into two cases. % 31.78/9.93 |-Branch one: % 31.78/9.93 | (369) ~ (all_290_1_178 = 0) % 31.78/9.93 | % 31.78/9.93 | Equations (354) can reduce 369 to: % 31.78/9.93 | (216) $false % 31.78/9.93 | % 31.78/9.93 |-The branch is then unsatisfiable % 31.78/9.93 |-Branch two: % 31.78/9.93 | (354) all_290_1_178 = 0 % 31.78/9.93 | (372) ~ (all_290_2_179 = 0) | ~ (all_290_3_180 = 0) | ~ (all_290_4_181 = 0) | ~ (all_290_5_182 = 0) | ~ (all_290_6_183 = 0) % 31.78/9.93 | % 31.78/9.93 +-Applying beta-rule and splitting (372), into two cases. % 31.78/9.93 |-Branch one: % 31.78/9.93 | (373) ~ (all_290_2_179 = 0) % 31.78/9.93 | % 31.78/9.93 | Equations (359) can reduce 373 to: % 31.78/9.93 | (216) $false % 31.78/9.93 | % 31.78/9.93 |-The branch is then unsatisfiable % 31.78/9.93 |-Branch two: % 31.78/9.93 | (359) all_290_2_179 = 0 % 31.78/9.93 | (376) ~ (all_290_3_180 = 0) | ~ (all_290_4_181 = 0) | ~ (all_290_5_182 = 0) | ~ (all_290_6_183 = 0) % 31.78/9.93 | % 31.78/9.93 +-Applying beta-rule and splitting (376), into two cases. % 31.78/9.93 |-Branch one: % 31.78/9.93 | (377) ~ (all_290_3_180 = 0) % 31.78/9.93 | % 31.78/9.93 | Equations (357) can reduce 377 to: % 31.78/9.93 | (216) $false % 31.78/9.93 | % 31.78/9.93 |-The branch is then unsatisfiable % 31.78/9.93 |-Branch two: % 31.78/9.93 | (357) all_290_3_180 = 0 % 31.78/9.93 | (380) ~ (all_290_4_181 = 0) | ~ (all_290_5_182 = 0) | ~ (all_290_6_183 = 0) % 31.78/9.93 | % 31.78/9.93 +-Applying beta-rule and splitting (380), into two cases. % 31.78/9.93 |-Branch one: % 31.78/9.93 | (381) ~ (all_290_4_181 = 0) % 31.78/9.93 | % 31.78/9.93 | Equations (355) can reduce 381 to: % 31.78/9.93 | (216) $false % 31.78/9.93 | % 31.78/9.93 |-The branch is then unsatisfiable % 31.78/9.93 |-Branch two: % 31.78/9.93 | (355) all_290_4_181 = 0 % 31.78/9.93 | (384) ~ (all_290_5_182 = 0) | ~ (all_290_6_183 = 0) % 31.78/9.93 | % 31.78/9.93 +-Applying beta-rule and splitting (384), into two cases. % 31.78/9.93 |-Branch one: % 31.78/9.93 | (385) ~ (all_290_5_182 = 0) % 31.78/9.93 | % 31.78/9.93 | Equations (360) can reduce 385 to: % 31.78/9.93 | (216) $false % 31.78/9.93 | % 31.78/9.93 |-The branch is then unsatisfiable % 31.78/9.93 |-Branch two: % 31.78/9.93 | (360) all_290_5_182 = 0 % 31.78/9.93 | (388) ~ (all_290_6_183 = 0) % 31.78/9.93 | % 31.78/9.93 | Equations (361) can reduce 388 to: % 31.78/9.93 | (216) $false % 31.78/9.93 | % 31.78/9.93 |-The branch is then unsatisfiable % 31.78/9.94 % SZS output end Proof for theBenchmark % 31.78/9.94 % 31.78/9.94 9347ms %------------------------------------------------------------------------------