%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : RNG060+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n032.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 20:25:13 EDT 2022 % Result : Theorem 16.50s 6.31s % Output : Proof 27.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.10 % Problem : RNG060+1 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.10 % Command : ePrincess-casc -timeout=%d %s % 0.08/0.29 % Computer : n032.cluster.edu % 0.08/0.29 % Model : x86_64 x86_64 % 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.29 % Memory : 8042.1875MB % 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.29 % CPULimit : 300 % 0.08/0.29 % WCLimit : 600 % 0.08/0.29 % DateTime : Mon May 30 07:38:27 EDT 2022 % 0.08/0.29 % CPUTime : % 0.14/0.50 ____ _ % 0.14/0.50 ___ / __ \_____(_)___ ________ __________ % 0.14/0.50 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.14/0.50 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.14/0.50 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.14/0.50 % 0.14/0.50 A Theorem Prover for First-Order Logic % 0.14/0.50 (ePrincess v.1.0) % 0.14/0.50 % 0.14/0.50 (c) Philipp Rümmer, 2009-2015 % 0.14/0.50 (c) Peter Backeman, 2014-2015 % 0.14/0.50 (contributions by Angelo Brillout, Peter Baumgartner) % 0.14/0.50 Free software under GNU Lesser General Public License (LGPL). % 0.14/0.50 Bug reports to peter@backeman.se % 0.14/0.50 % 0.14/0.50 For more information, visit http://user.uu.se/~petba168/breu/ % 0.14/0.50 % 0.14/0.50 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.60/0.55 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.62/0.89 Prover 0: Preprocessing ... % 3.59/1.42 Prover 0: Constructing countermodel ... % 14.39/5.84 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 14.39/5.91 Prover 1: Preprocessing ... % 15.15/6.07 Prover 1: Constructing countermodel ... % 16.50/6.30 Prover 1: proved (460ms) % 16.50/6.30 Prover 0: stopped % 16.50/6.31 % 16.50/6.31 No countermodel exists, formula is valid % 16.50/6.31 % SZS status Theorem for theBenchmark % 16.50/6.31 % 16.50/6.31 Generating proof ... found it (size 166) % 26.58/8.74 % 26.58/8.74 % SZS output start Proof for theBenchmark % 26.58/8.74 Assumed formulas after preprocessing and simplification: % 26.58/8.74 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ( ~ (v13 = v9) & ~ (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(v4, xN) = 0 & sdtlseqdt0(v2, v3) = 0 & smndt0(xN) = v6 & smndt0(xS) = v5 & smndt0(sz0z00) = v0 & sdtasdt0(v8, v8) = v9 & sdtasdt0(v5, v5) = v7 & sdtasdt0(v5, xR) = v6 & sdtasdt0(xS, xS) = v7 & sdtasdt0(xP, xP) = v4 & sdtasdt0(xR, v5) = v6 & sdtasdt0(xR, xS) = xN & sdtasdt0(xR, xR) = v10 & 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(v11, v12) = v13 & sdtpldt0(v10, v6) = v11 & sdtpldt0(v6, v7) = v12 & sdtpldt0(xR, v5) = v8 & 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 & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (sdtasdt0(v15, v17) = v22) | ~ (sdtasdt0(v15, v16) = v21) | ~ (sdtasdt0(v14, v17) = v19) | ~ (sdtasdt0(v14, v16) = v18) | ~ (sdtpldt0(v21, v22) = v23) | ~ (sdtpldt0(v20, v23) = v24) | ~ (sdtpldt0(v18, v19) = v20) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (sdtasdt0(v29, v30) = v31 & sdtpldt0(v16, v17) = v30 & sdtpldt0(v14, v15) = v29 & aScalar0(v17) = v28 & aScalar0(v16) = v27 & aScalar0(v15) = v26 & aScalar0(v14) = v25 & ( ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | v31 = v24))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v16 = sz00 | ~ (sdtasasdt0(v17, v18) = v19) | ~ (sziznziztdt0(v15) = v18) | ~ (sziznziztdt0(v14) = v17) | ~ (sdtlbdtrb0(v15, v16) = v21) | ~ (sdtlbdtrb0(v14, v16) = v20) | ~ (aDimensionOf0(v15) = v16) | ~ (aDimensionOf0(v14) = v16) | ~ (sdtasdt0(v20, v21) = v22) | ~ (sdtpldt0(v19, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : (sdtasasdt0(v14, v15) = v26 & aVector0(v15) = v25 & aVector0(v14) = v24 & ( ~ (v25 = 0) | ~ (v24 = 0) | v26 = v23))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = 0 | ~ (sdtasasdt0(v15, v15) = v19) | ~ (sdtasasdt0(v14, v15) = v16) | ~ (sdtasasdt0(v14, v14) = v18) | ~ (sdtlseqdt0(v17, v20) = v21) | ~ (sdtasdt0(v18, v19) = v20) | ~ (sdtasdt0(v16, v16) = v17) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : (aVector0(v15) = v23 & aVector0(v14) = v22 & aDimensionOf0(v15) = v25 & aDimensionOf0(v14) = v24 & iLess0(v24, v1) = v26 & ( ~ (v26 = 0) | ~ (v25 = v24) | ~ (v23 = 0) | ~ (v22 = 0)))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (sdtlseqdt0(v18, v19) = v20) | ~ (sdtasdt0(v15, v17) = v19) | ~ (sdtasdt0(v14, v16) = v18) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (sdtlseqdt0(v16, v17) = v27 & sdtlseqdt0(v14, v15) = v25 & sdtlseqdt0(sz0z00, v16) = v26 & aScalar0(v17) = v24 & aScalar0(v16) = v23 & aScalar0(v15) = v22 & aScalar0(v14) = v21 & ( ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0)))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (sdtlseqdt0(v18, v19) = v20) | ~ (sdtpldt0(v15, v17) = v19) | ~ (sdtpldt0(v14, v16) = v18) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : (sdtlseqdt0(v16, v17) = v26 & sdtlseqdt0(v14, v15) = v25 & aScalar0(v17) = v24 & aScalar0(v16) = v23 & aScalar0(v15) = v22 & aScalar0(v14) = v21 & ( ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0)))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (sdtasdt0(v14, v16) = v18) | ~ (sdtasdt0(v14, v15) = v17) | ~ (sdtpldt0(v17, v18) = v19) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (sdtasdt0(v25, v16) = v26 & sdtasdt0(v15, v16) = v27 & sdtasdt0(v14, v23) = v24 & sdtpldt0(v18, v27) = v28 & sdtpldt0(v15, v16) = v23 & sdtpldt0(v14, v15) = v25 & aScalar0(v16) = v22 & aScalar0(v15) = v21 & aScalar0(v14) = v20 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | (v28 = v26 & v24 = v19)))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (smndt0(v15) = v17) | ~ (smndt0(v14) = v16) | ~ (sdtasdt0(v16, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : (sdtasdt0(v14, v15) = v21 & aScalar0(v15) = v20 & aScalar0(v14) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0) | v21 = v18))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (sdtpldt0(v17, v16) = v18) | ~ (sdtpldt0(v14, v15) = v17) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (sdtasdt0(v25, v16) = v26 & sdtasdt0(v15, v16) = v27 & sdtasdt0(v15, v14) = v29 & sdtasdt0(v14, v27) = v28 & sdtasdt0(v14, v15) = v25 & sdtpldt0(v15, v16) = v22 & sdtpldt0(v15, v14) = v24 & sdtpldt0(v14, v22) = v23 & aScalar0(v16) = v21 & aScalar0(v15) = v20 & aScalar0(v14) = v19 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | (v29 = v25 & v28 = v26 & v24 = v17 & v23 = v18)))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (sdtlseqdt0(v14, v16) = v17) | ~ (sdtlseqdt0(v14, v15) = 0) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : (sdtlseqdt0(v15, v16) = v21 & aScalar0(v16) = v20 & aScalar0(v15) = v19 & aScalar0(v14) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (sdtasasdt0(v17, v16) = v15) | ~ (sdtasasdt0(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (sdtlbdtrb0(v17, v16) = v15) | ~ (sdtlbdtrb0(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (sdtlseqdt0(v17, v16) = v15) | ~ (sdtlseqdt0(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (sdtasdt0(v17, v16) = v15) | ~ (sdtasdt0(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (sdtpldt0(v17, v16) = v15) | ~ (sdtpldt0(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (iLess0(v17, v16) = v15) | ~ (iLess0(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (sziznziztdt0(v15) = v17) | ~ (sziznziztdt0(v14) = v16) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (aVector0(v15) = v19 & aVector0(v14) = v18 & aDimensionOf0(v17) = v23 & aDimensionOf0(v16) = v22 & aDimensionOf0(v15) = v21 & aDimensionOf0(v14) = v20 & ( ~ (v21 = v20) | ~ (v19 = 0) | ~ (v18 = 0) | v23 = v22 | v20 = sz00))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (smndt0(v14) = v16) | ~ (sdtasdt0(v16, v15) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (smndt0(v22) = v23 & smndt0(v15) = v20 & sdtasdt0(v14, v20) = v21 & sdtasdt0(v14, v15) = v22 & aScalar0(v15) = v19 & aScalar0(v14) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0) | (v23 = v17 & v21 = v17)))) & ! [v14] : ! [v15] : ! [v16] : (v16 = sz0z00 | ~ (sdtasasdt0(v14, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : (aVector0(v15) = v18 & aVector0(v14) = v17 & aDimensionOf0(v15) = v20 & aDimensionOf0(v14) = v19 & ( ~ (v20 = sz00) | ~ (v19 = sz00) | ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (sdtlseqdt0(v14, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : (sdtlseqdt0(v15, v14) = v19 & aScalar0(v15) = v18 & aScalar0(v14) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0) | v19 = 0))) & ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (iLess0(v14, v15) = v16) | ~ (szszuzczcdt0(v14) = v15) | ? [v17] : ( ~ (v17 = 0) & aNaturalNumber0(v14) = v17)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (sziznziztdt0(v16) = v15) | ~ (sziznziztdt0(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (aVector0(v16) = v15) | ~ (aVector0(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (aDimensionOf0(v16) = v15) | ~ (aDimensionOf0(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (smndt0(v16) = v15) | ~ (smndt0(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (aScalar0(v16) = v15) | ~ (aScalar0(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (szszuzczcdt0(v16) = v15) | ~ (szszuzczcdt0(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (szszuzczcdt0(v15) = v16) | ~ (szszuzczcdt0(v14) = v16) | ? [v17] : ? [v18] : (aNaturalNumber0(v15) = v18 & aNaturalNumber0(v14) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (aNaturalNumber0(v16) = v15) | ~ (aNaturalNumber0(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (sdtasasdt0(v14, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (aVector0(v15) = v18 & aVector0(v14) = v17 & aDimensionOf0(v15) = v20 & aDimensionOf0(v14) = v19 & aScalar0(v16) = v21 & ( ~ (v20 = v19) | ~ (v18 = 0) | ~ (v17 = 0) | v21 = 0))) & ! [v14] : ! [v15] : ! [v16] : ( ~ (sdtlbdtrb0(v14, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : (aVector0(v14) = v17 & aScalar0(v16) = v19 & aNaturalNumber0(v15) = v18 & ( ~ (v18 = 0) | ~ (v17 = 0) | v19 = 0))) & ! [v14] : ! [v15] : ! [v16] : ( ~ (smndt0(v14) = v15) | ~ (sdtpldt0(v15, v14) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (smndt0(v15) = v23 & sdtasdt0(v14, sz0z00) = v20 & sdtasdt0(sz0z00, v14) = v21 & sdtpldt0(v14, v15) = v22 & sdtpldt0(v14, sz0z00) = v18 & sdtpldt0(sz0z00, v14) = v19 & aScalar0(v14) = v17 & ( ~ (v17 = 0) | (v23 = v14 & v22 = sz0z00 & v21 = sz0z00 & v20 = sz0z00 & v19 = v14 & v18 = v14 & v16 = sz0z00 & v0 = sz0z00)))) & ! [v14] : ! [v15] : ! [v16] : ( ~ (sdtasdt0(v14, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : (aScalar0(v16) = v19 & aScalar0(v15) = v18 & aScalar0(v14) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0) | v19 = 0))) & ! [v14] : ! [v15] : ! [v16] : ( ~ (sdtpldt0(v14, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : (aScalar0(v16) = v19 & aScalar0(v15) = v18 & aScalar0(v14) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0) | v19 = 0))) & ! [v14] : ! [v15] : (v15 = v14 | ~ (sdtlseqdt0(v14, v15) = 0) | ? [v16] : ? [v17] : ? [v18] : (sdtlseqdt0(v15, v14) = v18 & aScalar0(v15) = v17 & aScalar0(v14) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v14] : ! [v15] : (v15 = v14 | ~ (sdtlseqdt0(sz0z00, v15) = 0) | ~ (sdtlseqdt0(sz0z00, v14) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : (sdtasdt0(v15, v15) = v19 & sdtasdt0(v14, v14) = v18 & aScalar0(v15) = v17 & aScalar0(v14) = v16 & ( ~ (v19 = v18) | ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v14] : ! [v15] : (v15 = 0 | ~ (sdtlseqdt0(v14, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & aScalar0(v14) = v16)) & ! [v14] : ! [v15] : ( ~ (sdtasasdt0(v14, v14) = v15) | ? [v16] : ? [v17] : (aVector0(v14) = v16 & sdtlseqdt0(sz0z00, v15) = v17 & ( ~ (v16 = 0) | v17 = 0))) & ! [v14] : ! [v15] : ( ~ (sziznziztdt0(v14) = v15) | ? [v16] : ? [v17] : (aVector0(v14) = v16 & aDimensionOf0(v14) = v17 & ( ~ (v16 = 0) | v17 = sz00 | ( ! [v18] : ! [v19] : ! [v20] : ( ~ (sdtlbdtrb0(v14, v19) = v20) | ~ (aVector0(v15) = v18) | ? [v21] : ? [v22] : (sdtlbdtrb0(v15, v19) = v22 & aNaturalNumber0(v19) = v21 & ( ~ (v21 = 0) | v22 = v20))) & ! [v18] : (v18 = v15 | ~ (aVector0(v18) = 0) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ((v20 = 0 & ~ (v22 = v21) & sdtlbdtrb0(v18, v19) = v21 & sdtlbdtrb0(v14, v19) = v22 & aNaturalNumber0(v19) = 0) | ( ~ (v20 = v17) & aDimensionOf0(v18) = v19 & szszuzczcdt0(v19) = v20))) & ! [v18] : (v18 = 0 | ~ (aVector0(v15) = v18)) & ! [v18] : ( ~ (aVector0(v15) = v18) | ? [v19] : (aDimensionOf0(v15) = v19 & szszuzczcdt0(v19) = v17)))))) & ! [v14] : ! [v15] : ( ~ (sdtlseqdt0(sz0z00, v15) = 0) | ~ (sdtlseqdt0(sz0z00, v14) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (sdtlseqdt0(sz0z00, v20) = v21 & sdtlseqdt0(sz0z00, v18) = v19 & sdtasdt0(v14, v15) = v20 & sdtpldt0(v14, v15) = v18 & aScalar0(v15) = v17 & aScalar0(v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0) | (v21 = 0 & v19 = 0)))) & ! [v14] : ! [v15] : ( ~ (smndt0(v14) = v15) | ? [v16] : ? [v17] : (aScalar0(v15) = v17 & aScalar0(v14) = v16 & ( ~ (v16 = 0) | v17 = 0))) & ! [v14] : ! [v15] : ( ~ (sdtasdt0(v14, v14) = v15) | ? [v16] : ? [v17] : (sdtlseqdt0(sz0z00, v15) = v17 & aScalar0(v14) = v16 & ( ~ (v16 = 0) | v17 = 0))) & ! [v14] : ! [v15] : ( ~ (szszuzczcdt0(v14) = v15) | ? [v16] : ? [v17] : (aNaturalNumber0(v15) = v17 & aNaturalNumber0(v14) = v16 & ( ~ (v16 = 0) | (v17 = 0 & ~ (v15 = sz00))))) & ! [v14] : (v14 = sz00 | ~ (aNaturalNumber0(v14) = 0) | ? [v15] : (szszuzczcdt0(v15) = v14 & aNaturalNumber0(v15) = 0)) & ! [v14] : ( ~ (aVector0(v14) = 0) | ? [v15] : (aDimensionOf0(v14) = v15 & aNaturalNumber0(v15) = 0))) % 26.89/8.80 | 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 yields: % 26.89/8.80 | (1) ~ (all_0_0_0 = all_0_4_4) & ~ (all_0_12_12 = sz00) & sdtasasdt0(xq, xq) = xD & sdtasasdt0(xp, xq) = xE & sdtasasdt0(xp, xp) = xC & sziznziztdt0(xt) = xq & sziznziztdt0(xs) = xp & sdtlbdtrb0(xt, all_0_12_12) = xB & sdtlbdtrb0(xs, all_0_12_12) = xA & aVector0(xq) = 0 & aVector0(xp) = 0 & aVector0(xt) = 0 & aVector0(xs) = 0 & aDimensionOf0(xt) = all_0_12_12 & aDimensionOf0(xs) = all_0_12_12 & sdtlseqdt0(all_0_9_9, xN) = 0 & sdtlseqdt0(all_0_11_11, all_0_10_10) = 0 & smndt0(xN) = all_0_7_7 & smndt0(xS) = all_0_8_8 & smndt0(sz0z00) = all_0_13_13 & sdtasdt0(all_0_5_5, all_0_5_5) = all_0_4_4 & sdtasdt0(all_0_8_8, all_0_8_8) = all_0_6_6 & sdtasdt0(all_0_8_8, xR) = all_0_7_7 & sdtasdt0(xS, xS) = all_0_6_6 & sdtasdt0(xP, xP) = all_0_9_9 & sdtasdt0(xR, all_0_8_8) = all_0_7_7 & sdtasdt0(xR, xS) = xN & sdtasdt0(xR, xR) = all_0_3_3 & sdtasdt0(xF, xD) = xS & sdtasdt0(xE, xH) = xP & sdtasdt0(xE, xE) = all_0_11_11 & sdtasdt0(xC, xG) = xR & sdtasdt0(xC, xD) = all_0_10_10 & sdtasdt0(xB, xB) = xG & sdtasdt0(xA, xB) = xH & sdtasdt0(xA, xA) = xF & sdtpldt0(all_0_2_2, all_0_1_1) = all_0_0_0 & sdtpldt0(all_0_3_3, all_0_7_7) = all_0_2_2 & sdtpldt0(all_0_7_7, all_0_6_6) = all_0_1_1 & sdtpldt0(xR, all_0_8_8) = all_0_5_5 & 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_12_12) = 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_13_13 = 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)) % 26.89/8.82 | % 26.89/8.82 | Applying alpha-rule on (1) yields: % 26.89/8.82 | (2) sdtlbdtrb0(xt, all_0_12_12) = xB % 26.89/8.82 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0)) % 26.89/8.82 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) % 26.89/8.82 | (5) sdtasasdt0(xp, xp) = xC % 26.89/8.82 | (6) aScalar0(xE) = 0 % 26.89/8.82 | (7) ! [v0] : ! [v1] : ( ~ (sdtasasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (aVector0(v0) = v2 & sdtlseqdt0(sz0z00, v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) % 26.89/8.82 | (8) ! [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)))) % 26.89/8.82 | (9) ! [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)))) % 26.89/8.82 | (10) ! [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)))) % 26.89/8.82 | (11) aDimensionOf0(xs) = all_0_12_12 % 26.89/8.82 | (12) sdtasasdt0(xq, xq) = xD % 26.89/8.82 | (13) sdtasdt0(xP, xP) = all_0_9_9 % 26.89/8.82 | (14) sdtasdt0(xR, all_0_8_8) = all_0_7_7 % 26.89/8.82 | (15) sdtlseqdt0(all_0_11_11, all_0_10_10) = 0 % 26.89/8.82 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) % 26.89/8.82 | (17) smndt0(xS) = all_0_8_8 % 26.89/8.82 | (18) aScalar0(xD) = 0 % 26.89/8.82 | (19) ~ (all_0_0_0 = all_0_4_4) % 26.89/8.82 | (20) ! [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))) % 26.89/8.82 | (21) sdtasdt0(all_0_8_8, xR) = all_0_7_7 % 26.89/8.82 | (22) ! [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)))) % 26.89/8.83 | (23) aScalar0(xB) = 0 % 26.89/8.83 | (24) ! [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))) % 26.89/8.83 | (25) aScalar0(xC) = 0 % 26.89/8.83 | (26) ! [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))) % 26.89/8.83 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0)) % 26.89/8.83 | (28) ! [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))) % 26.89/8.83 | (29) sdtasdt0(all_0_8_8, all_0_8_8) = all_0_6_6 % 26.89/8.83 | (30) ! [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_12_12) = v12 & ( ~ (v12 = 0) | ~ (v11 = v10) | ~ (v9 = 0) | ~ (v8 = 0)))) % 26.89/8.83 | (31) sdtasdt0(xA, xB) = xH % 26.89/8.83 | (32) sziznziztdt0(xt) = xq % 26.89/8.83 | (33) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v1) = v2) | ~ (szszuzczcdt0(v0) = v2) | ? [v3] : ? [v4] : (aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) % 26.89/8.83 | (34) sdtlbdtrb0(xs, all_0_12_12) = xA % 26.89/8.83 | (35) sdtlseqdt0(all_0_9_9, xN) = 0 % 26.89/8.83 | (36) aNaturalNumber0(sz00) = 0 % 26.89/8.83 | (37) ! [v0] : ! [v1] : (v1 = 0 | ~ (sdtlseqdt0(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aScalar0(v0) = v2)) % 26.89/8.83 | (38) aScalar0(sz0z00) = 0 % 26.89/8.83 | (39) ! [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_13_13 = sz0z00)))) % 26.89/8.83 | (40) sdtasdt0(xE, xH) = xP % 26.89/8.83 | (41) aScalar0(xH) = 0 % 26.89/8.83 | (42) ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : (aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 26.89/8.83 | (43) aScalar0(xA) = 0 % 26.89/8.83 | (44) aScalar0(xR) = 0 % 26.89/8.83 | (45) aScalar0(xG) = 0 % 26.89/8.83 | (46) ! [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))) % 26.89/8.83 | (47) sdtpldt0(all_0_3_3, all_0_7_7) = all_0_2_2 % 26.89/8.83 | (48) aVector0(xp) = 0 % 26.89/8.83 | (49) ! [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))) % 26.89/8.83 | (50) aScalar0(xP) = 0 % 26.89/8.83 | (51) ! [v0] : ( ~ (aVector0(v0) = 0) | ? [v1] : (aDimensionOf0(v0) = v1 & aNaturalNumber0(v1) = 0)) % 26.89/8.83 | (52) sdtasasdt0(xp, xq) = xE % 26.89/8.83 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) % 26.89/8.83 | (54) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sziznziztdt0(v2) = v1) | ~ (sziznziztdt0(v2) = v0)) % 26.89/8.83 | (55) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0)) % 26.89/8.84 | (56) sdtasdt0(all_0_5_5, all_0_5_5) = all_0_4_4 % 26.89/8.84 | (57) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0)) % 26.89/8.84 | (58) sdtasdt0(xF, xD) = xS % 26.89/8.84 | (59) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0)) % 26.89/8.84 | (60) ! [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)))) % 26.89/8.84 | (61) sdtasdt0(xR, xS) = xN % 26.89/8.84 | (62) sdtasdt0(xS, xS) = all_0_6_6 % 26.89/8.84 | (63) sdtpldt0(all_0_2_2, all_0_1_1) = all_0_0_0 % 26.89/8.84 | (64) sdtasdt0(xA, xA) = xF % 26.89/8.84 | (65) ! [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)))) % 26.89/8.84 | (66) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aVector0(v2) = v1) | ~ (aVector0(v2) = v0)) % 26.89/8.84 | (67) smndt0(xN) = all_0_7_7 % 26.89/8.84 | (68) sdtasdt0(xC, xD) = all_0_10_10 % 26.89/8.84 | (69) aVector0(xq) = 0 % 26.89/8.84 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1) | ~ (sdtlbdtrb0(v3, v2) = v0)) % 26.89/8.84 | (71) ! [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)))))) % 26.89/8.84 | (72) sdtasdt0(xB, xB) = xG % 26.89/8.84 | (73) ! [v0] : (v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ? [v1] : (szszuzczcdt0(v1) = v0 & aNaturalNumber0(v1) = 0)) % 26.89/8.84 | (74) aVector0(xt) = 0 % 26.89/8.84 | (75) sdtpldt0(all_0_7_7, all_0_6_6) = all_0_1_1 % 26.89/8.84 | (76) ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (sdtlseqdt0(sz0z00, v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 26.89/8.84 | (77) ~ (all_0_12_12 = sz00) % 26.89/8.84 | (78) ! [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)))) % 26.89/8.84 | (79) ! [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)))) % 26.89/8.84 | (80) aScalar0(xS) = 0 % 26.89/8.84 | (81) ! [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))) % 26.89/8.84 | (82) ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = 0 & ~ (v1 = sz00))))) % 26.89/8.84 | (83) sziznziztdt0(xs) = xp % 26.89/8.84 | (84) sdtasdt0(xE, xE) = all_0_11_11 % 26.89/8.84 | (85) aScalar0(xN) = 0 % 26.89/8.84 | (86) aScalar0(xF) = 0 % 26.89/8.84 | (87) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = v0)) % 26.89/8.85 | (88) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (iLess0(v0, v1) = v2) | ~ (szszuzczcdt0(v0) = v1) | ? [v3] : ( ~ (v3 = 0) & aNaturalNumber0(v0) = v3)) % 26.89/8.85 | (89) ! [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)))) % 26.89/8.85 | (90) ! [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))) % 26.89/8.85 | (91) sdtasdt0(xR, xR) = all_0_3_3 % 26.89/8.85 | (92) ! [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))) % 26.89/8.85 | (93) smndt0(sz0z00) = all_0_13_13 % 26.89/8.85 | (94) sdtpldt0(xR, all_0_8_8) = all_0_5_5 % 26.89/8.85 | (95) ! [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)))) % 26.89/8.85 | (96) sdtasdt0(xC, xG) = xR % 26.89/8.85 | (97) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aDimensionOf0(v2) = v1) | ~ (aDimensionOf0(v2) = v0)) % 26.89/8.85 | (98) aVector0(xs) = 0 % 26.89/8.85 | (99) aDimensionOf0(xt) = all_0_12_12 % 26.89/8.85 | % 26.89/8.85 | Instantiating formula (42) with all_0_8_8, xS and discharging atoms smndt0(xS) = all_0_8_8, yields: % 26.89/8.85 | (100) ? [v0] : ? [v1] : (aScalar0(all_0_8_8) = v1 & aScalar0(xS) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 26.89/8.85 | % 26.89/8.85 | Instantiating formula (10) with all_0_6_6, all_0_8_8, all_0_8_8, xS and discharging atoms smndt0(xS) = all_0_8_8, sdtasdt0(all_0_8_8, all_0_8_8) = all_0_6_6, yields: % 26.89/8.85 | (101) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (smndt0(v4) = v5 & smndt0(all_0_8_8) = v2 & sdtasdt0(xS, v2) = v3 & sdtasdt0(xS, all_0_8_8) = v4 & aScalar0(all_0_8_8) = v1 & aScalar0(xS) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = all_0_6_6 & v3 = all_0_6_6))) % 26.89/8.85 | % 26.89/8.85 | Instantiating formula (76) with all_0_6_6, all_0_8_8 and discharging atoms sdtasdt0(all_0_8_8, all_0_8_8) = all_0_6_6, yields: % 26.89/8.85 | (102) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_6_6) = v1 & aScalar0(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 26.89/8.85 | % 26.89/8.85 | Instantiating formula (26) with all_0_6_6, all_0_8_8, all_0_8_8 and discharging atoms sdtasdt0(all_0_8_8, all_0_8_8) = all_0_6_6, yields: % 26.89/8.85 | (103) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_6_6) = v2 & aScalar0(all_0_8_8) = v1 & aScalar0(all_0_8_8) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 26.89/8.85 | % 26.89/8.85 | Instantiating formula (10) with all_0_7_7, all_0_8_8, xR, xS and discharging atoms smndt0(xS) = all_0_8_8, sdtasdt0(all_0_8_8, xR) = all_0_7_7, yields: % 26.89/8.85 | (104) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (smndt0(v4) = v5 & smndt0(xR) = v2 & sdtasdt0(xS, v2) = v3 & sdtasdt0(xS, xR) = v4 & aScalar0(xS) = v0 & aScalar0(xR) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = all_0_7_7 & v3 = all_0_7_7))) % 26.89/8.85 | % 26.89/8.85 | Instantiating formula (26) with all_0_7_7, xR, all_0_8_8 and discharging atoms sdtasdt0(all_0_8_8, xR) = all_0_7_7, yields: % 26.89/8.85 | (105) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_7_7) = v2 & aScalar0(all_0_8_8) = v0 & aScalar0(xR) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 26.89/8.85 | % 26.89/8.85 | Instantiating formula (76) with all_0_6_6, xS and discharging atoms sdtasdt0(xS, xS) = all_0_6_6, yields: % 26.89/8.86 | (106) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_6_6) = v1 & aScalar0(xS) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 26.89/8.86 | % 26.89/8.86 | Instantiating formula (26) with all_0_6_6, xS, xS and discharging atoms sdtasdt0(xS, xS) = all_0_6_6, yields: % 26.89/8.86 | (107) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_6_6) = v2 & aScalar0(xS) = v1 & aScalar0(xS) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 26.89/8.86 | % 26.89/8.86 | Instantiating formula (26) with all_0_7_7, all_0_8_8, xR and discharging atoms sdtasdt0(xR, all_0_8_8) = all_0_7_7, yields: % 26.89/8.86 | (108) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_7_7) = v2 & aScalar0(all_0_8_8) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 26.89/8.86 | % 26.89/8.86 | Instantiating formula (76) with all_0_3_3, xR and discharging atoms sdtasdt0(xR, xR) = all_0_3_3, yields: % 26.89/8.86 | (109) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_3_3) = v1 & aScalar0(xR) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 26.89/8.86 | % 26.89/8.86 | Instantiating formula (26) with all_0_3_3, xR, xR and discharging atoms sdtasdt0(xR, xR) = all_0_3_3, yields: % 26.89/8.86 | (110) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_3_3) = v2 & aScalar0(xR) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 26.89/8.86 | % 26.89/8.86 | Instantiating formula (22) with all_0_2_2, all_0_7_7, all_0_3_3, all_0_8_8, xR, xR and discharging atoms sdtasdt0(xR, all_0_8_8) = all_0_7_7, sdtasdt0(xR, xR) = all_0_3_3, sdtpldt0(all_0_3_3, all_0_7_7) = all_0_2_2, yields: % 26.89/8.86 | (111) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (sdtasdt0(v5, all_0_8_8) = v6 & sdtasdt0(xR, v3) = v4 & sdtasdt0(xR, all_0_8_8) = v7 & sdtpldt0(all_0_7_7, v7) = v8 & sdtpldt0(xR, all_0_8_8) = v3 & sdtpldt0(xR, xR) = v5 & aScalar0(all_0_8_8) = v2 & aScalar0(xR) = v1 & aScalar0(xR) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v8 = v6 & v4 = all_0_2_2))) % 26.89/8.86 | % 26.89/8.86 | Instantiating formula (92) with all_0_0_0, all_0_1_1, all_0_6_6, all_0_7_7, all_0_2_2, all_0_7_7, all_0_3_3, all_0_8_8, xR, all_0_8_8, xR and discharging atoms sdtasdt0(all_0_8_8, all_0_8_8) = all_0_6_6, sdtasdt0(all_0_8_8, xR) = all_0_7_7, sdtasdt0(xR, all_0_8_8) = all_0_7_7, sdtasdt0(xR, xR) = all_0_3_3, sdtpldt0(all_0_2_2, all_0_1_1) = all_0_0_0, sdtpldt0(all_0_3_3, all_0_7_7) = all_0_2_2, sdtpldt0(all_0_7_7, all_0_6_6) = all_0_1_1, yields: % 26.89/8.86 | (112) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtasdt0(v4, v5) = v6 & sdtpldt0(xR, all_0_8_8) = v5 & sdtpldt0(xR, all_0_8_8) = v4 & aScalar0(all_0_8_8) = v3 & aScalar0(all_0_8_8) = v1 & aScalar0(xR) = v2 & aScalar0(xR) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v6 = all_0_0_0)) % 26.89/8.86 | % 26.89/8.86 | Instantiating formula (22) with all_0_1_1, all_0_6_6, all_0_7_7, all_0_8_8, xR, all_0_8_8 and discharging atoms sdtasdt0(all_0_8_8, all_0_8_8) = all_0_6_6, sdtasdt0(all_0_8_8, xR) = all_0_7_7, sdtpldt0(all_0_7_7, all_0_6_6) = all_0_1_1, yields: % 26.89/8.86 | (113) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (sdtasdt0(v5, all_0_8_8) = v6 & sdtasdt0(all_0_8_8, v3) = v4 & sdtasdt0(xR, all_0_8_8) = v7 & sdtpldt0(all_0_6_6, v7) = v8 & sdtpldt0(all_0_8_8, xR) = v5 & sdtpldt0(xR, all_0_8_8) = v3 & aScalar0(all_0_8_8) = v2 & aScalar0(all_0_8_8) = v0 & aScalar0(xR) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v8 = v6 & v4 = all_0_1_1))) % 26.89/8.86 | % 26.89/8.86 | Instantiating formula (81) with all_0_5_5, all_0_8_8, xR and discharging atoms sdtpldt0(xR, all_0_8_8) = all_0_5_5, yields: % 26.89/8.86 | (114) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_5_5) = v2 & aScalar0(all_0_8_8) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 26.89/8.86 | % 26.89/8.86 | Instantiating (114) with all_8_0_14, all_8_1_15, all_8_2_16 yields: % 26.89/8.86 | (115) aScalar0(all_0_5_5) = all_8_0_14 & aScalar0(all_0_8_8) = all_8_1_15 & aScalar0(xR) = all_8_2_16 & ( ~ (all_8_1_15 = 0) | ~ (all_8_2_16 = 0) | all_8_0_14 = 0) % 26.89/8.86 | % 26.89/8.86 | Applying alpha-rule on (115) yields: % 26.89/8.86 | (116) aScalar0(all_0_5_5) = all_8_0_14 % 26.89/8.86 | (117) aScalar0(all_0_8_8) = all_8_1_15 % 26.89/8.86 | (118) aScalar0(xR) = all_8_2_16 % 26.89/8.86 | (119) ~ (all_8_1_15 = 0) | ~ (all_8_2_16 = 0) | all_8_0_14 = 0 % 26.89/8.86 | % 26.89/8.86 | Instantiating (113) with all_10_0_17, all_10_1_18, all_10_2_19, all_10_3_20, all_10_4_21, all_10_5_22, all_10_6_23, all_10_7_24, all_10_8_25 yields: % 26.89/8.86 | (120) sdtasdt0(all_10_3_20, all_0_8_8) = all_10_2_19 & sdtasdt0(all_0_8_8, all_10_5_22) = all_10_4_21 & sdtasdt0(xR, all_0_8_8) = all_10_1_18 & sdtpldt0(all_0_6_6, all_10_1_18) = all_10_0_17 & sdtpldt0(all_0_8_8, xR) = all_10_3_20 & sdtpldt0(xR, all_0_8_8) = all_10_5_22 & aScalar0(all_0_8_8) = all_10_6_23 & aScalar0(all_0_8_8) = all_10_8_25 & aScalar0(xR) = all_10_7_24 & ( ~ (all_10_6_23 = 0) | ~ (all_10_7_24 = 0) | ~ (all_10_8_25 = 0) | (all_10_0_17 = all_10_2_19 & all_10_4_21 = all_0_1_1)) % 26.89/8.86 | % 26.89/8.86 | Applying alpha-rule on (120) yields: % 26.89/8.86 | (121) aScalar0(all_0_8_8) = all_10_8_25 % 26.89/8.86 | (122) sdtpldt0(all_0_8_8, xR) = all_10_3_20 % 26.89/8.86 | (123) sdtasdt0(xR, all_0_8_8) = all_10_1_18 % 26.89/8.86 | (124) aScalar0(xR) = all_10_7_24 % 26.89/8.86 | (125) sdtpldt0(xR, all_0_8_8) = all_10_5_22 % 26.89/8.86 | (126) sdtasdt0(all_0_8_8, all_10_5_22) = all_10_4_21 % 26.89/8.86 | (127) sdtasdt0(all_10_3_20, all_0_8_8) = all_10_2_19 % 26.89/8.86 | (128) ~ (all_10_6_23 = 0) | ~ (all_10_7_24 = 0) | ~ (all_10_8_25 = 0) | (all_10_0_17 = all_10_2_19 & all_10_4_21 = all_0_1_1) % 26.89/8.86 | (129) sdtpldt0(all_0_6_6, all_10_1_18) = all_10_0_17 % 26.89/8.86 | (130) aScalar0(all_0_8_8) = all_10_6_23 % 26.89/8.86 | % 26.89/8.86 | Instantiating (112) with all_12_0_26, all_12_1_27, all_12_2_28, all_12_3_29, all_12_4_30, all_12_5_31, all_12_6_32 yields: % 26.89/8.86 | (131) sdtasdt0(all_12_2_28, all_12_1_27) = all_12_0_26 & sdtpldt0(xR, all_0_8_8) = all_12_1_27 & sdtpldt0(xR, all_0_8_8) = all_12_2_28 & aScalar0(all_0_8_8) = all_12_3_29 & aScalar0(all_0_8_8) = all_12_5_31 & aScalar0(xR) = all_12_4_30 & aScalar0(xR) = all_12_6_32 & ( ~ (all_12_3_29 = 0) | ~ (all_12_4_30 = 0) | ~ (all_12_5_31 = 0) | ~ (all_12_6_32 = 0) | all_12_0_26 = all_0_0_0) % 26.89/8.86 | % 26.89/8.86 | Applying alpha-rule on (131) yields: % 26.89/8.86 | (132) sdtasdt0(all_12_2_28, all_12_1_27) = all_12_0_26 % 26.89/8.86 | (133) aScalar0(all_0_8_8) = all_12_3_29 % 26.89/8.86 | (134) aScalar0(xR) = all_12_6_32 % 26.89/8.86 | (135) aScalar0(all_0_8_8) = all_12_5_31 % 26.89/8.86 | (136) sdtpldt0(xR, all_0_8_8) = all_12_2_28 % 26.89/8.86 | (137) aScalar0(xR) = all_12_4_30 % 26.89/8.86 | (138) sdtpldt0(xR, all_0_8_8) = all_12_1_27 % 26.89/8.86 | (139) ~ (all_12_3_29 = 0) | ~ (all_12_4_30 = 0) | ~ (all_12_5_31 = 0) | ~ (all_12_6_32 = 0) | all_12_0_26 = all_0_0_0 % 26.89/8.86 | % 26.89/8.86 | Instantiating (110) with all_28_0_52, all_28_1_53, all_28_2_54 yields: % 26.89/8.86 | (140) aScalar0(all_0_3_3) = all_28_0_52 & aScalar0(xR) = all_28_1_53 & aScalar0(xR) = all_28_2_54 & ( ~ (all_28_1_53 = 0) | ~ (all_28_2_54 = 0) | all_28_0_52 = 0) % 26.89/8.86 | % 26.89/8.86 | Applying alpha-rule on (140) yields: % 26.89/8.86 | (141) aScalar0(all_0_3_3) = all_28_0_52 % 26.89/8.86 | (142) aScalar0(xR) = all_28_1_53 % 26.89/8.86 | (143) aScalar0(xR) = all_28_2_54 % 26.89/8.86 | (144) ~ (all_28_1_53 = 0) | ~ (all_28_2_54 = 0) | all_28_0_52 = 0 % 26.89/8.86 | % 26.89/8.86 | Instantiating (109) with all_30_0_55, all_30_1_56 yields: % 26.89/8.86 | (145) sdtlseqdt0(sz0z00, all_0_3_3) = all_30_0_55 & aScalar0(xR) = all_30_1_56 & ( ~ (all_30_1_56 = 0) | all_30_0_55 = 0) % 26.89/8.86 | % 26.89/8.86 | Applying alpha-rule on (145) yields: % 26.89/8.86 | (146) sdtlseqdt0(sz0z00, all_0_3_3) = all_30_0_55 % 26.89/8.86 | (147) aScalar0(xR) = all_30_1_56 % 26.89/8.86 | (148) ~ (all_30_1_56 = 0) | all_30_0_55 = 0 % 26.89/8.86 | % 26.89/8.86 | Instantiating (100) with all_74_0_123, all_74_1_124 yields: % 26.89/8.86 | (149) aScalar0(all_0_8_8) = all_74_0_123 & aScalar0(xS) = all_74_1_124 & ( ~ (all_74_1_124 = 0) | all_74_0_123 = 0) % 26.89/8.87 | % 26.89/8.87 | Applying alpha-rule on (149) yields: % 26.89/8.87 | (150) aScalar0(all_0_8_8) = all_74_0_123 % 26.89/8.87 | (151) aScalar0(xS) = all_74_1_124 % 26.89/8.87 | (152) ~ (all_74_1_124 = 0) | all_74_0_123 = 0 % 26.89/8.87 | % 26.89/8.87 | Instantiating (111) with all_78_0_136, all_78_1_137, all_78_2_138, all_78_3_139, all_78_4_140, all_78_5_141, all_78_6_142, all_78_7_143, all_78_8_144 yields: % 26.89/8.87 | (153) sdtasdt0(all_78_3_139, all_0_8_8) = all_78_2_138 & sdtasdt0(xR, all_78_5_141) = all_78_4_140 & sdtasdt0(xR, all_0_8_8) = all_78_1_137 & sdtpldt0(all_0_7_7, all_78_1_137) = all_78_0_136 & sdtpldt0(xR, all_0_8_8) = all_78_5_141 & sdtpldt0(xR, xR) = all_78_3_139 & aScalar0(all_0_8_8) = all_78_6_142 & aScalar0(xR) = all_78_7_143 & aScalar0(xR) = all_78_8_144 & ( ~ (all_78_6_142 = 0) | ~ (all_78_7_143 = 0) | ~ (all_78_8_144 = 0) | (all_78_0_136 = all_78_2_138 & all_78_4_140 = all_0_2_2)) % 26.89/8.87 | % 26.89/8.87 | Applying alpha-rule on (153) yields: % 26.89/8.87 | (154) sdtasdt0(all_78_3_139, all_0_8_8) = all_78_2_138 % 26.89/8.87 | (155) sdtasdt0(xR, all_78_5_141) = all_78_4_140 % 26.89/8.87 | (156) sdtasdt0(xR, all_0_8_8) = all_78_1_137 % 26.89/8.87 | (157) sdtpldt0(xR, all_0_8_8) = all_78_5_141 % 26.89/8.87 | (158) sdtpldt0(xR, xR) = all_78_3_139 % 26.89/8.87 | (159) aScalar0(all_0_8_8) = all_78_6_142 % 26.89/8.87 | (160) sdtpldt0(all_0_7_7, all_78_1_137) = all_78_0_136 % 26.89/8.87 | (161) aScalar0(xR) = all_78_7_143 % 26.89/8.87 | (162) ~ (all_78_6_142 = 0) | ~ (all_78_7_143 = 0) | ~ (all_78_8_144 = 0) | (all_78_0_136 = all_78_2_138 & all_78_4_140 = all_0_2_2) % 26.89/8.87 | (163) aScalar0(xR) = all_78_8_144 % 26.89/8.87 | % 26.89/8.87 | Instantiating (108) with all_82_0_147, all_82_1_148, all_82_2_149 yields: % 26.89/8.87 | (164) aScalar0(all_0_7_7) = all_82_0_147 & aScalar0(all_0_8_8) = all_82_1_148 & aScalar0(xR) = all_82_2_149 & ( ~ (all_82_1_148 = 0) | ~ (all_82_2_149 = 0) | all_82_0_147 = 0) % 26.89/8.87 | % 26.89/8.87 | Applying alpha-rule on (164) yields: % 26.89/8.87 | (165) aScalar0(all_0_7_7) = all_82_0_147 % 26.89/8.87 | (166) aScalar0(all_0_8_8) = all_82_1_148 % 26.89/8.87 | (167) aScalar0(xR) = all_82_2_149 % 26.89/8.87 | (168) ~ (all_82_1_148 = 0) | ~ (all_82_2_149 = 0) | all_82_0_147 = 0 % 26.89/8.87 | % 26.89/8.87 | Instantiating (105) with all_88_0_155, all_88_1_156, all_88_2_157 yields: % 26.89/8.87 | (169) aScalar0(all_0_7_7) = all_88_0_155 & aScalar0(all_0_8_8) = all_88_2_157 & aScalar0(xR) = all_88_1_156 & ( ~ (all_88_1_156 = 0) | ~ (all_88_2_157 = 0) | all_88_0_155 = 0) % 26.89/8.87 | % 26.89/8.87 | Applying alpha-rule on (169) yields: % 26.89/8.87 | (170) aScalar0(all_0_7_7) = all_88_0_155 % 26.89/8.87 | (171) aScalar0(all_0_8_8) = all_88_2_157 % 26.89/8.87 | (172) aScalar0(xR) = all_88_1_156 % 26.89/8.87 | (173) ~ (all_88_1_156 = 0) | ~ (all_88_2_157 = 0) | all_88_0_155 = 0 % 26.89/8.87 | % 26.89/8.87 | Instantiating (103) with all_90_0_158, all_90_1_159, all_90_2_160 yields: % 26.89/8.87 | (174) aScalar0(all_0_6_6) = all_90_0_158 & aScalar0(all_0_8_8) = all_90_1_159 & aScalar0(all_0_8_8) = all_90_2_160 & ( ~ (all_90_1_159 = 0) | ~ (all_90_2_160 = 0) | all_90_0_158 = 0) % 26.89/8.87 | % 26.89/8.87 | Applying alpha-rule on (174) yields: % 26.89/8.87 | (175) aScalar0(all_0_6_6) = all_90_0_158 % 26.89/8.87 | (176) aScalar0(all_0_8_8) = all_90_1_159 % 26.89/8.87 | (177) aScalar0(all_0_8_8) = all_90_2_160 % 26.89/8.87 | (178) ~ (all_90_1_159 = 0) | ~ (all_90_2_160 = 0) | all_90_0_158 = 0 % 26.89/8.87 | % 26.89/8.87 | Instantiating (102) with all_92_0_161, all_92_1_162 yields: % 26.89/8.87 | (179) sdtlseqdt0(sz0z00, all_0_6_6) = all_92_0_161 & aScalar0(all_0_8_8) = all_92_1_162 & ( ~ (all_92_1_162 = 0) | all_92_0_161 = 0) % 26.89/8.87 | % 26.89/8.87 | Applying alpha-rule on (179) yields: % 26.89/8.87 | (180) sdtlseqdt0(sz0z00, all_0_6_6) = all_92_0_161 % 26.89/8.87 | (181) aScalar0(all_0_8_8) = all_92_1_162 % 26.89/8.87 | (182) ~ (all_92_1_162 = 0) | all_92_0_161 = 0 % 26.89/8.87 | % 26.89/8.87 | Instantiating (101) with all_94_0_163, all_94_1_164, all_94_2_165, all_94_3_166, all_94_4_167, all_94_5_168 yields: % 26.89/8.87 | (183) smndt0(all_94_1_164) = all_94_0_163 & smndt0(all_0_8_8) = all_94_3_166 & sdtasdt0(xS, all_94_3_166) = all_94_2_165 & sdtasdt0(xS, all_0_8_8) = all_94_1_164 & aScalar0(all_0_8_8) = all_94_4_167 & aScalar0(xS) = all_94_5_168 & ( ~ (all_94_4_167 = 0) | ~ (all_94_5_168 = 0) | (all_94_0_163 = all_0_6_6 & all_94_2_165 = all_0_6_6)) % 26.89/8.87 | % 26.89/8.87 | Applying alpha-rule on (183) yields: % 26.89/8.87 | (184) smndt0(all_0_8_8) = all_94_3_166 % 26.89/8.87 | (185) sdtasdt0(xS, all_0_8_8) = all_94_1_164 % 26.89/8.87 | (186) smndt0(all_94_1_164) = all_94_0_163 % 26.89/8.87 | (187) aScalar0(all_0_8_8) = all_94_4_167 % 26.89/8.87 | (188) sdtasdt0(xS, all_94_3_166) = all_94_2_165 % 26.89/8.87 | (189) ~ (all_94_4_167 = 0) | ~ (all_94_5_168 = 0) | (all_94_0_163 = all_0_6_6 & all_94_2_165 = all_0_6_6) % 26.89/8.87 | (190) aScalar0(xS) = all_94_5_168 % 26.89/8.87 | % 26.89/8.87 | Instantiating (104) with all_96_0_169, all_96_1_170, all_96_2_171, all_96_3_172, all_96_4_173, all_96_5_174 yields: % 26.89/8.87 | (191) smndt0(all_96_1_170) = all_96_0_169 & smndt0(xR) = all_96_3_172 & sdtasdt0(xS, all_96_3_172) = all_96_2_171 & sdtasdt0(xS, xR) = all_96_1_170 & aScalar0(xS) = all_96_5_174 & aScalar0(xR) = all_96_4_173 & ( ~ (all_96_4_173 = 0) | ~ (all_96_5_174 = 0) | (all_96_0_169 = all_0_7_7 & all_96_2_171 = all_0_7_7)) % 26.89/8.87 | % 26.89/8.87 | Applying alpha-rule on (191) yields: % 26.89/8.87 | (192) ~ (all_96_4_173 = 0) | ~ (all_96_5_174 = 0) | (all_96_0_169 = all_0_7_7 & all_96_2_171 = all_0_7_7) % 26.89/8.87 | (193) aScalar0(xR) = all_96_4_173 % 26.89/8.87 | (194) smndt0(all_96_1_170) = all_96_0_169 % 26.89/8.87 | (195) sdtasdt0(xS, xR) = all_96_1_170 % 26.89/8.87 | (196) aScalar0(xS) = all_96_5_174 % 26.89/8.87 | (197) smndt0(xR) = all_96_3_172 % 26.89/8.87 | (198) sdtasdt0(xS, all_96_3_172) = all_96_2_171 % 26.89/8.87 | % 26.89/8.87 | Instantiating (107) with all_98_0_175, all_98_1_176, all_98_2_177 yields: % 26.89/8.87 | (199) aScalar0(all_0_6_6) = all_98_0_175 & aScalar0(xS) = all_98_1_176 & aScalar0(xS) = all_98_2_177 & ( ~ (all_98_1_176 = 0) | ~ (all_98_2_177 = 0) | all_98_0_175 = 0) % 26.89/8.87 | % 26.89/8.87 | Applying alpha-rule on (199) yields: % 26.89/8.87 | (200) aScalar0(all_0_6_6) = all_98_0_175 % 26.89/8.87 | (201) aScalar0(xS) = all_98_1_176 % 26.89/8.87 | (202) aScalar0(xS) = all_98_2_177 % 26.89/8.87 | (203) ~ (all_98_1_176 = 0) | ~ (all_98_2_177 = 0) | all_98_0_175 = 0 % 26.89/8.87 | % 26.89/8.87 | Instantiating (106) with all_100_0_178, all_100_1_179 yields: % 26.89/8.87 | (204) sdtlseqdt0(sz0z00, all_0_6_6) = all_100_0_178 & aScalar0(xS) = all_100_1_179 & ( ~ (all_100_1_179 = 0) | all_100_0_178 = 0) % 26.89/8.87 | % 26.89/8.87 | Applying alpha-rule on (204) yields: % 26.89/8.87 | (205) sdtlseqdt0(sz0z00, all_0_6_6) = all_100_0_178 % 26.89/8.87 | (206) aScalar0(xS) = all_100_1_179 % 26.89/8.87 | (207) ~ (all_100_1_179 = 0) | all_100_0_178 = 0 % 26.89/8.87 | % 26.89/8.87 | Instantiating formula (4) with xR, all_0_8_8, all_12_1_27, all_0_5_5 and discharging atoms sdtpldt0(xR, all_0_8_8) = all_12_1_27, sdtpldt0(xR, all_0_8_8) = all_0_5_5, yields: % 26.89/8.87 | (208) all_12_1_27 = all_0_5_5 % 26.89/8.87 | % 26.89/8.87 | Instantiating formula (4) with xR, all_0_8_8, all_12_1_27, all_78_5_141 and discharging atoms sdtpldt0(xR, all_0_8_8) = all_78_5_141, sdtpldt0(xR, all_0_8_8) = all_12_1_27, yields: % 26.89/8.87 | (209) all_78_5_141 = all_12_1_27 % 26.89/8.87 | % 26.89/8.87 | Instantiating formula (4) with xR, all_0_8_8, all_12_2_28, all_12_1_27 and discharging atoms sdtpldt0(xR, all_0_8_8) = all_12_1_27, sdtpldt0(xR, all_0_8_8) = all_12_2_28, yields: % 26.89/8.87 | (210) all_12_1_27 = all_12_2_28 % 26.89/8.87 | % 26.89/8.87 | Instantiating formula (4) with xR, all_0_8_8, all_10_5_22, all_78_5_141 and discharging atoms sdtpldt0(xR, all_0_8_8) = all_78_5_141, sdtpldt0(xR, all_0_8_8) = all_10_5_22, yields: % 26.89/8.87 | (211) all_78_5_141 = all_10_5_22 % 26.89/8.87 | % 26.89/8.87 | Instantiating formula (57) with all_0_8_8, all_90_1_159, all_94_4_167 and discharging atoms aScalar0(all_0_8_8) = all_94_4_167, aScalar0(all_0_8_8) = all_90_1_159, yields: % 26.89/8.87 | (212) all_94_4_167 = all_90_1_159 % 26.89/8.87 | % 26.89/8.87 | Instantiating formula (57) with all_0_8_8, all_90_2_160, all_92_1_162 and discharging atoms aScalar0(all_0_8_8) = all_92_1_162, aScalar0(all_0_8_8) = all_90_2_160, yields: % 26.89/8.87 | (213) all_92_1_162 = all_90_2_160 % 26.89/8.87 | % 26.89/8.87 | Instantiating formula (57) with all_0_8_8, all_90_2_160, all_90_1_159 and discharging atoms aScalar0(all_0_8_8) = all_90_1_159, aScalar0(all_0_8_8) = all_90_2_160, yields: % 26.89/8.87 | (214) all_90_1_159 = all_90_2_160 % 26.89/8.87 | % 26.89/8.87 | Instantiating formula (57) with all_0_8_8, all_88_2_157, all_92_1_162 and discharging atoms aScalar0(all_0_8_8) = all_92_1_162, aScalar0(all_0_8_8) = all_88_2_157, yields: % 26.89/8.87 | (215) all_92_1_162 = all_88_2_157 % 26.89/8.87 | % 26.89/8.87 | Instantiating formula (57) with all_0_8_8, all_78_6_142, all_82_1_148 and discharging atoms aScalar0(all_0_8_8) = all_82_1_148, aScalar0(all_0_8_8) = all_78_6_142, yields: % 26.89/8.87 | (216) all_82_1_148 = all_78_6_142 % 26.89/8.87 | % 26.89/8.87 | Instantiating formula (57) with all_0_8_8, all_74_0_123, all_90_2_160 and discharging atoms aScalar0(all_0_8_8) = all_90_2_160, aScalar0(all_0_8_8) = all_74_0_123, yields: % 26.89/8.87 | (217) all_90_2_160 = all_74_0_123 % 26.89/8.87 | % 26.89/8.87 | Instantiating formula (57) with all_0_8_8, all_12_3_29, all_78_6_142 and discharging atoms aScalar0(all_0_8_8) = all_78_6_142, aScalar0(all_0_8_8) = all_12_3_29, yields: % 26.89/8.87 | (218) all_78_6_142 = all_12_3_29 % 26.89/8.87 | % 26.89/8.87 | Instantiating formula (57) with all_0_8_8, all_12_3_29, all_74_0_123 and discharging atoms aScalar0(all_0_8_8) = all_74_0_123, aScalar0(all_0_8_8) = all_12_3_29, yields: % 27.36/8.87 | (219) all_74_0_123 = all_12_3_29 % 27.36/8.87 | % 27.36/8.87 | Instantiating formula (57) with all_0_8_8, all_12_5_31, all_94_4_167 and discharging atoms aScalar0(all_0_8_8) = all_94_4_167, aScalar0(all_0_8_8) = all_12_5_31, yields: % 27.36/8.87 | (220) all_94_4_167 = all_12_5_31 % 27.36/8.87 | % 27.36/8.87 | Instantiating formula (57) with all_0_8_8, all_10_6_23, all_74_0_123 and discharging atoms aScalar0(all_0_8_8) = all_74_0_123, aScalar0(all_0_8_8) = all_10_6_23, yields: % 27.36/8.87 | (221) all_74_0_123 = all_10_6_23 % 27.36/8.88 | % 27.36/8.88 | Instantiating formula (57) with all_0_8_8, all_10_8_25, all_82_1_148 and discharging atoms aScalar0(all_0_8_8) = all_82_1_148, aScalar0(all_0_8_8) = all_10_8_25, yields: % 27.36/8.88 | (222) all_82_1_148 = all_10_8_25 % 27.36/8.88 | % 27.36/8.88 | Instantiating formula (57) with all_0_8_8, all_8_1_15, all_10_6_23 and discharging atoms aScalar0(all_0_8_8) = all_10_6_23, aScalar0(all_0_8_8) = all_8_1_15, yields: % 27.36/8.88 | (223) all_10_6_23 = all_8_1_15 % 27.36/8.88 | % 27.36/8.88 | Instantiating formula (57) with xS, all_98_1_176, all_100_1_179 and discharging atoms aScalar0(xS) = all_100_1_179, aScalar0(xS) = all_98_1_176, yields: % 27.36/8.88 | (224) all_100_1_179 = all_98_1_176 % 27.36/8.88 | % 27.36/8.88 | Instantiating formula (57) with xS, all_98_2_177, all_100_1_179 and discharging atoms aScalar0(xS) = all_100_1_179, aScalar0(xS) = all_98_2_177, yields: % 27.36/8.88 | (225) all_100_1_179 = all_98_2_177 % 27.36/8.88 | % 27.36/8.88 | Instantiating formula (57) with xS, all_96_5_174, 0 and discharging atoms aScalar0(xS) = all_96_5_174, aScalar0(xS) = 0, yields: % 27.36/8.88 | (226) all_96_5_174 = 0 % 27.36/8.88 | % 27.36/8.88 | Instantiating formula (57) with xS, all_96_5_174, all_98_2_177 and discharging atoms aScalar0(xS) = all_98_2_177, aScalar0(xS) = all_96_5_174, yields: % 27.36/8.88 | (227) all_98_2_177 = all_96_5_174 % 27.36/8.88 | % 27.36/8.88 | Instantiating formula (57) with xS, all_94_5_168, all_100_1_179 and discharging atoms aScalar0(xS) = all_100_1_179, aScalar0(xS) = all_94_5_168, yields: % 27.36/8.88 | (228) all_100_1_179 = all_94_5_168 % 27.36/8.88 | % 27.36/8.88 | Instantiating formula (57) with xS, all_74_1_124, all_96_5_174 and discharging atoms aScalar0(xS) = all_96_5_174, aScalar0(xS) = all_74_1_124, yields: % 27.36/8.88 | (229) all_96_5_174 = all_74_1_124 % 27.36/8.88 | % 27.36/8.88 | Instantiating formula (57) with xR, all_82_2_149, all_96_4_173 and discharging atoms aScalar0(xR) = all_96_4_173, aScalar0(xR) = all_82_2_149, yields: % 27.36/8.88 | (230) all_96_4_173 = all_82_2_149 % 27.36/8.88 | % 27.36/8.88 | Instantiating formula (57) with xR, all_78_7_143, all_88_1_156 and discharging atoms aScalar0(xR) = all_88_1_156, aScalar0(xR) = all_78_7_143, yields: % 27.36/8.88 | (231) all_88_1_156 = all_78_7_143 % 27.36/8.88 | % 27.36/8.88 | Instantiating formula (57) with xR, all_78_8_144, 0 and discharging atoms aScalar0(xR) = all_78_8_144, aScalar0(xR) = 0, yields: % 27.36/8.88 | (232) all_78_8_144 = 0 % 27.36/8.88 | % 27.36/8.88 | Instantiating formula (57) with xR, all_30_1_56, all_82_2_149 and discharging atoms aScalar0(xR) = all_82_2_149, aScalar0(xR) = all_30_1_56, yields: % 27.36/8.88 | (233) all_82_2_149 = all_30_1_56 % 27.36/8.88 | % 27.36/8.88 | Instantiating formula (57) with xR, all_30_1_56, all_78_7_143 and discharging atoms aScalar0(xR) = all_78_7_143, aScalar0(xR) = all_30_1_56, yields: % 27.36/8.88 | (234) all_78_7_143 = all_30_1_56 % 27.36/8.88 | % 27.36/8.88 | Instantiating formula (57) with xR, all_28_1_53, all_96_4_173 and discharging atoms aScalar0(xR) = all_96_4_173, aScalar0(xR) = all_28_1_53, yields: % 27.36/8.88 | (235) all_96_4_173 = all_28_1_53 % 27.36/8.88 | % 27.36/8.88 | Instantiating formula (57) with xR, all_28_2_54, all_78_8_144 and discharging atoms aScalar0(xR) = all_78_8_144, aScalar0(xR) = all_28_2_54, yields: % 27.36/8.88 | (236) all_78_8_144 = all_28_2_54 % 27.36/8.88 | % 27.36/8.88 | Instantiating formula (57) with xR, all_12_4_30, all_82_2_149 and discharging atoms aScalar0(xR) = all_82_2_149, aScalar0(xR) = all_12_4_30, yields: % 27.36/8.88 | (237) all_82_2_149 = all_12_4_30 % 27.36/8.88 | % 27.36/8.88 | Instantiating formula (57) with xR, all_12_6_32, all_78_8_144 and discharging atoms aScalar0(xR) = all_78_8_144, aScalar0(xR) = all_12_6_32, yields: % 27.36/8.88 | (238) all_78_8_144 = all_12_6_32 % 27.36/8.88 | % 27.36/8.88 | Instantiating formula (57) with xR, all_12_6_32, all_12_4_30 and discharging atoms aScalar0(xR) = all_12_4_30, aScalar0(xR) = all_12_6_32, yields: % 27.36/8.88 | (239) all_12_4_30 = all_12_6_32 % 27.36/8.88 | % 27.36/8.88 | Instantiating formula (57) with xR, all_10_7_24, all_88_1_156 and discharging atoms aScalar0(xR) = all_88_1_156, aScalar0(xR) = all_10_7_24, yields: % 27.36/8.88 | (240) all_88_1_156 = all_10_7_24 % 27.36/8.88 | % 27.36/8.88 | Combining equations (225,224) yields a new equation: % 27.36/8.88 | (241) all_98_1_176 = all_98_2_177 % 27.36/8.88 | % 27.36/8.88 | Combining equations (228,224) yields a new equation: % 27.36/8.88 | (242) all_98_1_176 = all_94_5_168 % 27.36/8.88 | % 27.36/8.88 | Combining equations (241,242) yields a new equation: % 27.36/8.88 | (243) all_98_2_177 = all_94_5_168 % 27.36/8.88 | % 27.36/8.88 | Simplifying 243 yields: % 27.36/8.88 | (244) all_98_2_177 = all_94_5_168 % 27.36/8.88 | % 27.36/8.88 | Combining equations (227,244) yields a new equation: % 27.36/8.88 | (245) all_96_5_174 = all_94_5_168 % 27.36/8.88 | % 27.36/8.88 | Simplifying 245 yields: % 27.36/8.88 | (246) all_96_5_174 = all_94_5_168 % 27.36/8.88 | % 27.36/8.88 | Combining equations (230,235) yields a new equation: % 27.36/8.88 | (247) all_82_2_149 = all_28_1_53 % 27.36/8.88 | % 27.36/8.88 | Simplifying 247 yields: % 27.36/8.88 | (248) all_82_2_149 = all_28_1_53 % 27.36/8.88 | % 27.36/8.88 | Combining equations (229,246) yields a new equation: % 27.36/8.88 | (249) all_94_5_168 = all_74_1_124 % 27.36/8.88 | % 27.36/8.88 | Combining equations (226,246) yields a new equation: % 27.36/8.88 | (250) all_94_5_168 = 0 % 27.36/8.88 | % 27.36/8.88 | Combining equations (212,220) yields a new equation: % 27.36/8.88 | (251) all_90_1_159 = all_12_5_31 % 27.36/8.88 | % 27.36/8.88 | Simplifying 251 yields: % 27.36/8.88 | (252) all_90_1_159 = all_12_5_31 % 27.36/8.88 | % 27.36/8.88 | Combining equations (250,249) yields a new equation: % 27.36/8.88 | (253) all_74_1_124 = 0 % 27.36/8.88 | % 27.36/8.88 | Combining equations (213,215) yields a new equation: % 27.36/8.88 | (254) all_90_2_160 = all_88_2_157 % 27.36/8.88 | % 27.36/8.88 | Simplifying 254 yields: % 27.36/8.88 | (255) all_90_2_160 = all_88_2_157 % 27.36/8.88 | % 27.36/8.88 | Combining equations (214,252) yields a new equation: % 27.36/8.88 | (256) all_90_2_160 = all_12_5_31 % 27.36/8.88 | % 27.36/8.88 | Simplifying 256 yields: % 27.36/8.88 | (257) all_90_2_160 = all_12_5_31 % 27.36/8.88 | % 27.36/8.88 | Combining equations (217,255) yields a new equation: % 27.36/8.88 | (258) all_88_2_157 = all_74_0_123 % 27.36/8.88 | % 27.36/8.88 | Combining equations (257,255) yields a new equation: % 27.36/8.88 | (259) all_88_2_157 = all_12_5_31 % 27.36/8.88 | % 27.36/8.88 | Combining equations (231,240) yields a new equation: % 27.36/8.88 | (260) all_78_7_143 = all_10_7_24 % 27.36/8.88 | % 27.36/8.88 | Simplifying 260 yields: % 27.36/8.88 | (261) all_78_7_143 = all_10_7_24 % 27.36/8.88 | % 27.36/8.88 | Combining equations (258,259) yields a new equation: % 27.36/8.88 | (262) all_74_0_123 = all_12_5_31 % 27.36/8.88 | % 27.36/8.88 | Simplifying 262 yields: % 27.36/8.88 | (263) all_74_0_123 = all_12_5_31 % 27.36/8.88 | % 27.36/8.88 | Combining equations (216,222) yields a new equation: % 27.36/8.88 | (264) all_78_6_142 = all_10_8_25 % 27.36/8.88 | % 27.36/8.88 | Simplifying 264 yields: % 27.36/8.88 | (265) all_78_6_142 = all_10_8_25 % 27.36/8.88 | % 27.36/8.88 | Combining equations (233,248) yields a new equation: % 27.36/8.88 | (266) all_30_1_56 = all_28_1_53 % 27.36/8.88 | % 27.36/8.88 | Simplifying 266 yields: % 27.36/8.88 | (267) all_30_1_56 = all_28_1_53 % 27.36/8.88 | % 27.36/8.88 | Combining equations (237,248) yields a new equation: % 27.36/8.88 | (268) all_28_1_53 = all_12_4_30 % 27.36/8.88 | % 27.36/8.88 | Combining equations (209,211) yields a new equation: % 27.36/8.88 | (269) all_12_1_27 = all_10_5_22 % 27.36/8.88 | % 27.36/8.88 | Simplifying 269 yields: % 27.36/8.88 | (270) all_12_1_27 = all_10_5_22 % 27.36/8.88 | % 27.36/8.88 | Combining equations (218,265) yields a new equation: % 27.36/8.88 | (271) all_12_3_29 = all_10_8_25 % 27.36/8.88 | % 27.36/8.88 | Simplifying 271 yields: % 27.36/8.88 | (272) all_12_3_29 = all_10_8_25 % 27.36/8.88 | % 27.36/8.88 | Combining equations (234,261) yields a new equation: % 27.36/8.88 | (273) all_30_1_56 = all_10_7_24 % 27.36/8.88 | % 27.36/8.88 | Simplifying 273 yields: % 27.36/8.88 | (274) all_30_1_56 = all_10_7_24 % 27.36/8.88 | % 27.36/8.88 | Combining equations (238,236) yields a new equation: % 27.36/8.88 | (275) all_28_2_54 = all_12_6_32 % 27.36/8.88 | % 27.36/8.88 | Combining equations (232,236) yields a new equation: % 27.36/8.88 | (276) all_28_2_54 = 0 % 27.36/8.88 | % 27.36/8.88 | Combining equations (221,263) yields a new equation: % 27.36/8.88 | (277) all_12_5_31 = all_10_6_23 % 27.36/8.88 | % 27.36/8.88 | Combining equations (219,263) yields a new equation: % 27.36/8.88 | (278) all_12_3_29 = all_12_5_31 % 27.36/8.88 | % 27.36/8.88 | Simplifying 278 yields: % 27.36/8.88 | (279) all_12_3_29 = all_12_5_31 % 27.36/8.88 | % 27.36/8.88 | Combining equations (267,274) yields a new equation: % 27.36/8.88 | (280) all_28_1_53 = all_10_7_24 % 27.36/8.88 | % 27.36/8.88 | Simplifying 280 yields: % 27.36/8.88 | (281) all_28_1_53 = all_10_7_24 % 27.36/8.88 | % 27.36/8.88 | Combining equations (268,281) yields a new equation: % 27.36/8.88 | (282) all_12_4_30 = all_10_7_24 % 27.36/8.88 | % 27.36/8.88 | Simplifying 282 yields: % 27.36/8.88 | (283) all_12_4_30 = all_10_7_24 % 27.36/8.88 | % 27.36/8.88 | Combining equations (275,276) yields a new equation: % 27.36/8.88 | (284) all_12_6_32 = 0 % 27.36/8.88 | % 27.36/8.88 | Simplifying 284 yields: % 27.36/8.88 | (285) all_12_6_32 = 0 % 27.36/8.88 | % 27.36/8.88 | Combining equations (208,210) yields a new equation: % 27.36/8.88 | (286) all_12_2_28 = all_0_5_5 % 27.36/8.88 | % 27.36/8.88 | Combining equations (270,210) yields a new equation: % 27.36/8.88 | (287) all_12_2_28 = all_10_5_22 % 27.36/8.88 | % 27.36/8.88 | Combining equations (286,287) yields a new equation: % 27.36/8.88 | (288) all_10_5_22 = all_0_5_5 % 27.36/8.88 | % 27.36/8.88 | Combining equations (279,272) yields a new equation: % 27.36/8.88 | (289) all_12_5_31 = all_10_8_25 % 27.36/8.88 | % 27.36/8.88 | Simplifying 289 yields: % 27.36/8.88 | (290) all_12_5_31 = all_10_8_25 % 27.36/8.88 | % 27.36/8.88 | Combining equations (239,283) yields a new equation: % 27.36/8.88 | (291) all_12_6_32 = all_10_7_24 % 27.36/8.88 | % 27.36/8.88 | Simplifying 291 yields: % 27.36/8.88 | (292) all_12_6_32 = all_10_7_24 % 27.36/8.88 | % 27.36/8.88 | Combining equations (277,290) yields a new equation: % 27.36/8.88 | (293) all_10_6_23 = all_10_8_25 % 27.36/8.88 | % 27.36/8.88 | Simplifying 293 yields: % 27.36/8.88 | (294) all_10_6_23 = all_10_8_25 % 27.36/8.88 | % 27.36/8.88 | Combining equations (285,292) yields a new equation: % 27.36/8.88 | (295) all_10_7_24 = 0 % 27.36/8.88 | % 27.36/8.88 | Combining equations (223,294) yields a new equation: % 27.36/8.88 | (296) all_10_8_25 = all_8_1_15 % 27.36/8.89 | % 27.36/8.89 | Combining equations (295,292) yields a new equation: % 27.36/8.89 | (285) all_12_6_32 = 0 % 27.36/8.89 | % 27.36/8.89 | Combining equations (296,290) yields a new equation: % 27.36/8.89 | (298) all_12_5_31 = all_8_1_15 % 27.36/8.89 | % 27.36/8.89 | Combining equations (295,283) yields a new equation: % 27.36/8.89 | (299) all_12_4_30 = 0 % 27.36/8.89 | % 27.36/8.89 | Combining equations (296,272) yields a new equation: % 27.36/8.89 | (300) all_12_3_29 = all_8_1_15 % 27.36/8.89 | % 27.36/8.89 | Combining equations (288,287) yields a new equation: % 27.36/8.89 | (286) all_12_2_28 = all_0_5_5 % 27.36/8.89 | % 27.36/8.89 | Combining equations (286,210) yields a new equation: % 27.36/8.89 | (208) all_12_1_27 = all_0_5_5 % 27.36/8.89 | % 27.36/8.89 | Combining equations (298,263) yields a new equation: % 27.36/8.89 | (303) all_74_0_123 = all_8_1_15 % 27.36/8.89 | % 27.36/8.89 | From (286)(208) and (132) follows: % 27.36/8.89 | (304) sdtasdt0(all_0_5_5, all_0_5_5) = all_12_0_26 % 27.36/8.89 | % 27.36/8.89 +-Applying beta-rule and splitting (152), into two cases. % 27.36/8.89 |-Branch one: % 27.36/8.89 | (305) ~ (all_74_1_124 = 0) % 27.36/8.89 | % 27.36/8.89 | Equations (253) can reduce 305 to: % 27.36/8.89 | (306) $false % 27.36/8.89 | % 27.36/8.89 |-The branch is then unsatisfiable % 27.36/8.89 |-Branch two: % 27.36/8.89 | (253) all_74_1_124 = 0 % 27.36/8.89 | (308) all_74_0_123 = 0 % 27.36/8.89 | % 27.36/8.89 | Combining equations (308,303) yields a new equation: % 27.36/8.89 | (309) all_8_1_15 = 0 % 27.36/8.89 | % 27.36/8.89 | Combining equations (309,298) yields a new equation: % 27.36/8.89 | (310) all_12_5_31 = 0 % 27.36/8.89 | % 27.36/8.89 | Combining equations (309,300) yields a new equation: % 27.36/8.89 | (311) all_12_3_29 = 0 % 27.36/8.89 | % 27.36/8.89 +-Applying beta-rule and splitting (139), into two cases. % 27.36/8.89 |-Branch one: % 27.36/8.89 | (312) ~ (all_12_3_29 = 0) % 27.36/8.89 | % 27.36/8.89 | Equations (311) can reduce 312 to: % 27.36/8.89 | (306) $false % 27.36/8.89 | % 27.36/8.89 |-The branch is then unsatisfiable % 27.36/8.89 |-Branch two: % 27.36/8.89 | (311) all_12_3_29 = 0 % 27.36/8.89 | (315) ~ (all_12_4_30 = 0) | ~ (all_12_5_31 = 0) | ~ (all_12_6_32 = 0) | all_12_0_26 = all_0_0_0 % 27.36/8.89 | % 27.36/8.89 +-Applying beta-rule and splitting (315), into two cases. % 27.36/8.89 |-Branch one: % 27.36/8.89 | (316) ~ (all_12_4_30 = 0) % 27.36/8.89 | % 27.36/8.89 | Equations (299) can reduce 316 to: % 27.36/8.89 | (306) $false % 27.36/8.89 | % 27.36/8.89 |-The branch is then unsatisfiable % 27.36/8.89 |-Branch two: % 27.36/8.89 | (299) all_12_4_30 = 0 % 27.36/8.89 | (319) ~ (all_12_5_31 = 0) | ~ (all_12_6_32 = 0) | all_12_0_26 = all_0_0_0 % 27.36/8.89 | % 27.36/8.89 +-Applying beta-rule and splitting (319), into two cases. % 27.36/8.89 |-Branch one: % 27.36/8.89 | (320) ~ (all_12_5_31 = 0) % 27.36/8.89 | % 27.36/8.89 | Equations (310) can reduce 320 to: % 27.36/8.89 | (306) $false % 27.36/8.89 | % 27.36/8.89 |-The branch is then unsatisfiable % 27.36/8.89 |-Branch two: % 27.36/8.89 | (310) all_12_5_31 = 0 % 27.36/8.89 | (323) ~ (all_12_6_32 = 0) | all_12_0_26 = all_0_0_0 % 27.36/8.89 | % 27.36/8.89 +-Applying beta-rule and splitting (323), into two cases. % 27.36/8.89 |-Branch one: % 27.36/8.89 | (324) ~ (all_12_6_32 = 0) % 27.36/8.89 | % 27.36/8.89 | Equations (285) can reduce 324 to: % 27.36/8.89 | (306) $false % 27.36/8.89 | % 27.36/8.89 |-The branch is then unsatisfiable % 27.36/8.89 |-Branch two: % 27.36/8.89 | (285) all_12_6_32 = 0 % 27.36/8.89 | (327) all_12_0_26 = all_0_0_0 % 27.36/8.89 | % 27.36/8.89 | From (327) and (304) follows: % 27.36/8.89 | (328) sdtasdt0(all_0_5_5, all_0_5_5) = all_0_0_0 % 27.36/8.89 | % 27.36/8.89 | Instantiating formula (16) with all_0_5_5, all_0_5_5, all_0_0_0, all_0_4_4 and discharging atoms sdtasdt0(all_0_5_5, all_0_5_5) = all_0_0_0, sdtasdt0(all_0_5_5, all_0_5_5) = all_0_4_4, yields: % 27.36/8.89 | (329) all_0_0_0 = all_0_4_4 % 27.36/8.89 | % 27.36/8.89 | Equations (329) can reduce 19 to: % 27.36/8.89 | (306) $false % 27.36/8.89 | % 27.36/8.89 |-The branch is then unsatisfiable % 27.36/8.89 % SZS output end Proof for theBenchmark % 27.36/8.89 % 27.36/8.89 8377ms %------------------------------------------------------------------------------