%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : RNG060+2 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Mon Jul 18 20:25:13 EDT 2022 % Result : Theorem 16.54s 6.49s % Output : Proof 27.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : RNG060+2 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.14/0.34 % Computer : n019.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Mon May 30 05:56:41 EDT 2022 % 0.14/0.34 % CPUTime : % 0.62/0.59 ____ _ % 0.62/0.59 ___ / __ \_____(_)___ ________ __________ % 0.62/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.62/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.62/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.62/0.59 % 0.62/0.59 A Theorem Prover for First-Order Logic % 0.62/0.59 (ePrincess v.1.0) % 0.62/0.59 % 0.62/0.59 (c) Philipp Rümmer, 2009-2015 % 0.62/0.59 (c) Peter Backeman, 2014-2015 % 0.62/0.59 (contributions by Angelo Brillout, Peter Baumgartner) % 0.62/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.62/0.59 Bug reports to peter@backeman.se % 0.62/0.59 % 0.62/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.62/0.59 % 0.62/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.74/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.84/1.00 Prover 0: Preprocessing ... % 3.94/1.49 Prover 0: Constructing countermodel ... % 14.35/5.93 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 14.81/6.04 Prover 1: Preprocessing ... % 15.26/6.18 Prover 1: Constructing countermodel ... % 16.54/6.48 Prover 1: proved (551ms) % 16.54/6.48 Prover 0: stopped % 16.54/6.48 % 16.54/6.49 No countermodel exists, formula is valid % 16.54/6.49 % SZS status Theorem for theBenchmark % 16.54/6.49 % 16.54/6.49 Generating proof ... found it (size 172) % 26.94/8.85 % 26.94/8.85 % SZS output start Proof for theBenchmark % 26.94/8.85 Assumed formulas after preprocessing and simplification: % 26.94/8.85 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ( ~ (v15 = v11) & ~ (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(xq) = v3 & aDimensionOf0(xp) = v2 & aDimensionOf0(xt) = v1 & aDimensionOf0(xs) = v1 & sdtlseqdt0(v6, xN) = 0 & sdtlseqdt0(v4, v5) = 0 & smndt0(xN) = v8 & smndt0(xS) = v7 & smndt0(sz0z00) = v0 & sdtasdt0(v10, v10) = v11 & sdtasdt0(v7, v7) = v9 & sdtasdt0(v7, xR) = v8 & sdtasdt0(xS, xS) = v9 & sdtasdt0(xP, xP) = v6 & sdtasdt0(xR, v7) = v8 & sdtasdt0(xR, xS) = xN & sdtasdt0(xR, xR) = v12 & sdtasdt0(xF, xD) = xS & sdtasdt0(xE, xH) = xP & sdtasdt0(xE, xE) = v4 & sdtasdt0(xC, xG) = xR & sdtasdt0(xC, xD) = v5 & sdtasdt0(xB, xB) = xG & sdtasdt0(xA, xB) = xH & sdtasdt0(xA, xA) = xF & sdtpldt0(v13, v14) = v15 & sdtpldt0(v12, v8) = v13 & sdtpldt0(v8, v9) = v14 & sdtpldt0(xR, v7) = v10 & 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 & szszuzczcdt0(v3) = v1 & szszuzczcdt0(v2) = v1 & aNaturalNumber0(sz00) = 0 & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (sdtasdt0(v17, v19) = v24) | ~ (sdtasdt0(v17, v18) = v23) | ~ (sdtasdt0(v16, v19) = v21) | ~ (sdtasdt0(v16, v18) = v20) | ~ (sdtpldt0(v23, v24) = v25) | ~ (sdtpldt0(v22, v25) = v26) | ~ (sdtpldt0(v20, v21) = v22) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : (sdtasdt0(v31, v32) = v33 & sdtpldt0(v18, v19) = v32 & sdtpldt0(v16, v17) = v31 & aScalar0(v19) = v30 & aScalar0(v18) = v29 & aScalar0(v17) = v28 & aScalar0(v16) = v27 & ( ~ (v30 = 0) | ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | v33 = v26))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v18 = sz00 | ~ (sdtasasdt0(v19, v20) = v21) | ~ (sziznziztdt0(v17) = v20) | ~ (sziznziztdt0(v16) = v19) | ~ (sdtlbdtrb0(v17, v18) = v23) | ~ (sdtlbdtrb0(v16, v18) = v22) | ~ (aDimensionOf0(v17) = v18) | ~ (aDimensionOf0(v16) = v18) | ~ (sdtasdt0(v22, v23) = v24) | ~ (sdtpldt0(v21, v24) = v25) | ? [v26] : ? [v27] : ? [v28] : (sdtasasdt0(v16, v17) = v28 & aVector0(v17) = v27 & aVector0(v16) = v26 & ( ~ (v27 = 0) | ~ (v26 = 0) | v28 = v25))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (sdtasasdt0(v17, v17) = v21) | ~ (sdtasasdt0(v16, v17) = v18) | ~ (sdtasasdt0(v16, v16) = v20) | ~ (sdtlseqdt0(v19, v22) = v23) | ~ (sdtasdt0(v20, v21) = v22) | ~ (sdtasdt0(v18, v18) = v19) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (aVector0(v17) = v25 & aVector0(v16) = v24 & aDimensionOf0(v17) = v27 & aDimensionOf0(v16) = v26 & iLess0(v26, v1) = v28 & ( ~ (v28 = 0) | ~ (v27 = v26) | ~ (v25 = 0) | ~ (v24 = 0)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (sdtlseqdt0(v20, v21) = v22) | ~ (sdtasdt0(v17, v19) = v21) | ~ (sdtasdt0(v16, v18) = v20) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (sdtlseqdt0(v18, v19) = v29 & sdtlseqdt0(v16, v17) = v27 & sdtlseqdt0(sz0z00, v18) = v28 & aScalar0(v19) = v26 & aScalar0(v18) = v25 & aScalar0(v17) = v24 & aScalar0(v16) = v23 & ( ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (sdtlseqdt0(v20, v21) = v22) | ~ (sdtpldt0(v17, v19) = v21) | ~ (sdtpldt0(v16, v18) = v20) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (sdtlseqdt0(v18, v19) = v28 & sdtlseqdt0(v16, v17) = v27 & aScalar0(v19) = v26 & aScalar0(v18) = v25 & aScalar0(v17) = v24 & aScalar0(v16) = v23 & ( ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (sdtasdt0(v16, v18) = v20) | ~ (sdtasdt0(v16, v17) = v19) | ~ (sdtpldt0(v19, v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (sdtasdt0(v27, v18) = v28 & sdtasdt0(v17, v18) = v29 & sdtasdt0(v16, v25) = v26 & sdtpldt0(v20, v29) = v30 & sdtpldt0(v17, v18) = v25 & sdtpldt0(v16, v17) = v27 & aScalar0(v18) = v24 & aScalar0(v17) = v23 & aScalar0(v16) = v22 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | (v30 = v28 & v26 = v21)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (smndt0(v17) = v19) | ~ (smndt0(v16) = v18) | ~ (sdtasdt0(v18, v19) = v20) | ? [v21] : ? [v22] : ? [v23] : (sdtasdt0(v16, v17) = v23 & aScalar0(v17) = v22 & aScalar0(v16) = v21 & ( ~ (v22 = 0) | ~ (v21 = 0) | v23 = v20))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (sdtpldt0(v19, v18) = v20) | ~ (sdtpldt0(v16, v17) = v19) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (sdtasdt0(v27, v18) = v28 & sdtasdt0(v17, v18) = v29 & sdtasdt0(v17, v16) = v31 & sdtasdt0(v16, v29) = v30 & sdtasdt0(v16, v17) = v27 & sdtpldt0(v17, v18) = v24 & sdtpldt0(v17, v16) = v26 & sdtpldt0(v16, v24) = v25 & aScalar0(v18) = v23 & aScalar0(v17) = v22 & aScalar0(v16) = v21 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | (v31 = v27 & v30 = v28 & v26 = v19 & v25 = v20)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (sdtlseqdt0(v16, v18) = v19) | ~ (sdtlseqdt0(v16, v17) = 0) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : (sdtlseqdt0(v17, v18) = v23 & aScalar0(v18) = v22 & aScalar0(v17) = v21 & aScalar0(v16) = v20 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (sdtasasdt0(v19, v18) = v17) | ~ (sdtasasdt0(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (sdtlbdtrb0(v19, v18) = v17) | ~ (sdtlbdtrb0(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (sdtlseqdt0(v19, v18) = v17) | ~ (sdtlseqdt0(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (sdtasdt0(v19, v18) = v17) | ~ (sdtasdt0(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (sdtpldt0(v19, v18) = v17) | ~ (sdtpldt0(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (iLess0(v19, v18) = v17) | ~ (iLess0(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (sziznziztdt0(v17) = v19) | ~ (sziznziztdt0(v16) = v18) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (aVector0(v17) = v21 & aVector0(v16) = v20 & aDimensionOf0(v19) = v25 & aDimensionOf0(v18) = v24 & aDimensionOf0(v17) = v23 & aDimensionOf0(v16) = v22 & ( ~ (v23 = v22) | ~ (v21 = 0) | ~ (v20 = 0) | v25 = v24 | v22 = sz00))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (smndt0(v16) = v18) | ~ (sdtasdt0(v18, v17) = v19) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (smndt0(v24) = v25 & smndt0(v17) = v22 & sdtasdt0(v16, v22) = v23 & sdtasdt0(v16, v17) = v24 & aScalar0(v17) = v21 & aScalar0(v16) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0) | (v25 = v19 & v23 = v19)))) & ! [v16] : ! [v17] : ! [v18] : (v18 = sz0z00 | ~ (sdtasasdt0(v16, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : (aVector0(v17) = v20 & aVector0(v16) = v19 & aDimensionOf0(v17) = v22 & aDimensionOf0(v16) = v21 & ( ~ (v22 = sz00) | ~ (v21 = sz00) | ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (sdtlseqdt0(v16, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : (sdtlseqdt0(v17, v16) = v21 & aScalar0(v17) = v20 & aScalar0(v16) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0) | v21 = 0))) & ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (iLess0(v16, v17) = v18) | ~ (szszuzczcdt0(v16) = v17) | ? [v19] : ( ~ (v19 = 0) & aNaturalNumber0(v16) = v19)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (sziznziztdt0(v18) = v17) | ~ (sziznziztdt0(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (aVector0(v18) = v17) | ~ (aVector0(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (aDimensionOf0(v18) = v17) | ~ (aDimensionOf0(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (smndt0(v18) = v17) | ~ (smndt0(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (aScalar0(v18) = v17) | ~ (aScalar0(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (szszuzczcdt0(v18) = v17) | ~ (szszuzczcdt0(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (szszuzczcdt0(v17) = v18) | ~ (szszuzczcdt0(v16) = v18) | ? [v19] : ? [v20] : (aNaturalNumber0(v17) = v20 & aNaturalNumber0(v16) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (aNaturalNumber0(v18) = v17) | ~ (aNaturalNumber0(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (sdtasasdt0(v16, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (aVector0(v17) = v20 & aVector0(v16) = v19 & aDimensionOf0(v17) = v22 & aDimensionOf0(v16) = v21 & aScalar0(v18) = v23 & ( ~ (v22 = v21) | ~ (v20 = 0) | ~ (v19 = 0) | v23 = 0))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (sdtlbdtrb0(v16, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : (aVector0(v16) = v19 & aScalar0(v18) = v21 & aNaturalNumber0(v17) = v20 & ( ~ (v20 = 0) | ~ (v19 = 0) | v21 = 0))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (smndt0(v16) = v17) | ~ (sdtpldt0(v17, v16) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (smndt0(v17) = v25 & sdtasdt0(v16, sz0z00) = v22 & sdtasdt0(sz0z00, v16) = v23 & sdtpldt0(v16, v17) = v24 & sdtpldt0(v16, sz0z00) = v20 & sdtpldt0(sz0z00, v16) = v21 & aScalar0(v16) = v19 & ( ~ (v19 = 0) | (v25 = v16 & v24 = sz0z00 & v23 = sz0z00 & v22 = sz0z00 & v21 = v16 & v20 = v16 & v18 = sz0z00 & v0 = sz0z00)))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (sdtasdt0(v16, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : (aScalar0(v18) = v21 & aScalar0(v17) = v20 & aScalar0(v16) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0) | v21 = 0))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (sdtpldt0(v16, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : (aScalar0(v18) = v21 & aScalar0(v17) = v20 & aScalar0(v16) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0) | v21 = 0))) & ! [v16] : ! [v17] : (v17 = v16 | ~ (sdtlseqdt0(v16, v17) = 0) | ? [v18] : ? [v19] : ? [v20] : (sdtlseqdt0(v17, v16) = v20 & aScalar0(v17) = v19 & aScalar0(v16) = v18 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : (v17 = v16 | ~ (sdtlseqdt0(sz0z00, v17) = 0) | ~ (sdtlseqdt0(sz0z00, v16) = 0) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : (sdtasdt0(v17, v17) = v21 & sdtasdt0(v16, v16) = v20 & aScalar0(v17) = v19 & aScalar0(v16) = v18 & ( ~ (v21 = v20) | ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : (v17 = 0 | ~ (sdtlseqdt0(v16, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & aScalar0(v16) = v18)) & ! [v16] : ! [v17] : ( ~ (sdtasasdt0(v16, v16) = v17) | ? [v18] : ? [v19] : (aVector0(v16) = v18 & sdtlseqdt0(sz0z00, v17) = v19 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : ( ~ (sziznziztdt0(v16) = v17) | ? [v18] : ? [v19] : (aVector0(v16) = v18 & aDimensionOf0(v16) = v19 & ( ~ (v18 = 0) | v19 = sz00 | ( ! [v20] : ! [v21] : ! [v22] : ( ~ (sdtlbdtrb0(v16, v21) = v22) | ~ (aVector0(v17) = v20) | ? [v23] : ? [v24] : (sdtlbdtrb0(v17, v21) = v24 & aNaturalNumber0(v21) = v23 & ( ~ (v23 = 0) | v24 = v22))) & ! [v20] : (v20 = v17 | ~ (aVector0(v20) = 0) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v22 = 0 & ~ (v24 = v23) & sdtlbdtrb0(v20, v21) = v23 & sdtlbdtrb0(v16, v21) = v24 & aNaturalNumber0(v21) = 0) | ( ~ (v22 = v19) & aDimensionOf0(v20) = v21 & szszuzczcdt0(v21) = v22))) & ! [v20] : (v20 = 0 | ~ (aVector0(v17) = v20)) & ! [v20] : ( ~ (aVector0(v17) = v20) | ? [v21] : (aDimensionOf0(v17) = v21 & szszuzczcdt0(v21) = v19)))))) & ! [v16] : ! [v17] : ( ~ (sdtlbdtrb0(xp, v16) = v17) | ? [v18] : ? [v19] : (sdtlbdtrb0(xs, v16) = v19 & aNaturalNumber0(v16) = v18 & ( ~ (v18 = 0) | v19 = v17))) & ! [v16] : ! [v17] : ( ~ (sdtlbdtrb0(xt, v16) = v17) | ? [v18] : ? [v19] : (sdtlbdtrb0(xq, v16) = v19 & aNaturalNumber0(v16) = v18 & ( ~ (v18 = 0) | v19 = v17))) & ! [v16] : ! [v17] : ( ~ (sdtlseqdt0(sz0z00, v17) = 0) | ~ (sdtlseqdt0(sz0z00, v16) = 0) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (sdtlseqdt0(sz0z00, v22) = v23 & sdtlseqdt0(sz0z00, v20) = v21 & sdtasdt0(v16, v17) = v22 & sdtpldt0(v16, v17) = v20 & aScalar0(v17) = v19 & aScalar0(v16) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0) | (v23 = 0 & v21 = 0)))) & ! [v16] : ! [v17] : ( ~ (smndt0(v16) = v17) | ? [v18] : ? [v19] : (aScalar0(v17) = v19 & aScalar0(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : ( ~ (sdtasdt0(v16, v16) = v17) | ? [v18] : ? [v19] : (sdtlseqdt0(sz0z00, v17) = v19 & aScalar0(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : ( ~ (szszuzczcdt0(v16) = v17) | ? [v18] : ? [v19] : (aNaturalNumber0(v17) = v19 & aNaturalNumber0(v16) = v18 & ( ~ (v18 = 0) | (v19 = 0 & ~ (v17 = sz00))))) & ! [v16] : (v16 = sz00 | ~ (aNaturalNumber0(v16) = 0) | ? [v17] : (szszuzczcdt0(v17) = v16 & aNaturalNumber0(v17) = 0)) & ! [v16] : ( ~ (aVector0(v16) = 0) | ? [v17] : (aDimensionOf0(v16) = v17 & aNaturalNumber0(v17) = 0))) % 27.14/8.91 | 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, all_0_15_15 yields: % 27.14/8.91 | (1) ~ (all_0_0_0 = all_0_4_4) & ~ (all_0_14_14 = sz00) & sdtasasdt0(xq, xq) = xD & sdtasasdt0(xp, xq) = xE & sdtasasdt0(xp, xp) = xC & sziznziztdt0(xt) = xq & sziznziztdt0(xs) = xp & sdtlbdtrb0(xt, all_0_14_14) = xB & sdtlbdtrb0(xs, all_0_14_14) = xA & aVector0(xq) = 0 & aVector0(xp) = 0 & aVector0(xt) = 0 & aVector0(xs) = 0 & aDimensionOf0(xq) = all_0_12_12 & aDimensionOf0(xp) = all_0_13_13 & aDimensionOf0(xt) = all_0_14_14 & aDimensionOf0(xs) = all_0_14_14 & 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_15_15 & 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 & szszuzczcdt0(all_0_12_12) = all_0_14_14 & szszuzczcdt0(all_0_13_13) = all_0_14_14 & 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_14_14) = 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_15_15 = 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] : ( ~ (sdtlbdtrb0(xp, v0) = v1) | ? [v2] : ? [v3] : (sdtlbdtrb0(xs, v0) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | v3 = v1))) & ! [v0] : ! [v1] : ( ~ (sdtlbdtrb0(xt, v0) = v1) | ? [v2] : ? [v3] : (sdtlbdtrb0(xq, v0) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | v3 = v1))) & ! [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)) % 27.14/8.93 | % 27.14/8.93 | Applying alpha-rule on (1) yields: % 27.14/8.93 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0)) % 27.14/8.93 | (3) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v1) = v2) | ~ (szszuzczcdt0(v0) = v2) | ? [v3] : ? [v4] : (aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) % 27.14/8.93 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1) | ~ (sdtlbdtrb0(v3, v2) = v0)) % 27.14/8.93 | (5) ! [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))) % 27.14/8.93 | (6) aScalar0(xC) = 0 % 27.14/8.93 | (7) sdtasdt0(xR, xR) = all_0_3_3 % 27.14/8.93 | (8) sdtasasdt0(xp, xp) = xC % 27.14/8.93 | (9) sdtasdt0(xB, xB) = xG % 27.14/8.93 | (10) aDimensionOf0(xq) = all_0_12_12 % 27.14/8.93 | (11) sdtlseqdt0(all_0_11_11, all_0_10_10) = 0 % 27.14/8.93 | (12) aScalar0(xD) = 0 % 27.14/8.93 | (13) sdtasdt0(xE, xE) = all_0_11_11 % 27.14/8.93 | (14) sdtasdt0(all_0_5_5, all_0_5_5) = all_0_4_4 % 27.14/8.93 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0)) % 27.14/8.93 | (16) ~ (all_0_14_14 = sz00) % 27.14/8.93 | (17) sdtasasdt0(xq, xq) = xD % 27.14/8.93 | (18) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aDimensionOf0(v2) = v1) | ~ (aDimensionOf0(v2) = v0)) % 27.14/8.93 | (19) ! [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))) % 27.14/8.93 | (20) ! [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)))) % 27.14/8.94 | (21) ~ (all_0_0_0 = all_0_4_4) % 27.14/8.94 | (22) sdtlseqdt0(all_0_9_9, xN) = 0 % 27.14/8.94 | (23) szszuzczcdt0(all_0_12_12) = all_0_14_14 % 27.14/8.94 | (24) sdtasdt0(xC, xD) = all_0_10_10 % 27.14/8.94 | (25) sdtasdt0(xC, xG) = xR % 27.14/8.94 | (26) aVector0(xq) = 0 % 27.14/8.94 | (27) ! [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)))) % 27.14/8.94 | (28) aScalar0(xG) = 0 % 27.14/8.94 | (29) ! [v0] : ! [v1] : ( ~ (sdtasasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (aVector0(v0) = v2 & sdtlseqdt0(sz0z00, v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) % 27.14/8.94 | (30) aDimensionOf0(xp) = all_0_13_13 % 27.14/8.94 | (31) aScalar0(xR) = 0 % 27.14/8.94 | (32) sdtpldt0(all_0_3_3, all_0_7_7) = all_0_2_2 % 27.14/8.94 | (33) aScalar0(xN) = 0 % 27.14/8.94 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) % 27.14/8.94 | (35) ! [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))) % 27.38/8.94 | (36) sdtasdt0(xA, xB) = xH % 27.38/8.94 | (37) ! [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))) % 27.38/8.94 | (38) sziznziztdt0(xs) = xp % 27.38/8.94 | (39) smndt0(sz0z00) = all_0_15_15 % 27.38/8.94 | (40) aScalar0(xS) = 0 % 27.38/8.94 | (41) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0)) % 27.38/8.94 | (42) ! [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)))) % 27.38/8.94 | (43) smndt0(xN) = all_0_7_7 % 27.38/8.94 | (44) ! [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)))))) % 27.38/8.94 | (45) aScalar0(xH) = 0 % 27.38/8.94 | (46) ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : (aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 27.38/8.94 | (47) ! [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))) % 27.38/8.94 | (48) aScalar0(xA) = 0 % 27.38/8.94 | (49) aScalar0(xB) = 0 % 27.38/8.94 | (50) sdtasdt0(xP, xP) = all_0_9_9 % 27.38/8.94 | (51) aScalar0(xF) = 0 % 27.38/8.94 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) % 27.38/8.94 | (53) aNaturalNumber0(sz00) = 0 % 27.38/8.94 | (54) ! [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))) % 27.38/8.94 | (55) ! [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)))) % 27.38/8.94 | (56) ! [v0] : ! [v1] : (v1 = 0 | ~ (sdtlseqdt0(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aScalar0(v0) = v2)) % 27.38/8.94 | (57) ! [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_15_15 = sz0z00)))) % 27.42/8.95 | (58) ! [v0] : ! [v1] : ( ~ (sdtlbdtrb0(xt, v0) = v1) | ? [v2] : ? [v3] : (sdtlbdtrb0(xq, v0) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | v3 = v1))) % 27.42/8.95 | (59) ! [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))) % 27.42/8.95 | (60) aScalar0(xE) = 0 % 27.42/8.95 | (61) aVector0(xt) = 0 % 27.42/8.95 | (62) sdtasdt0(xE, xH) = xP % 27.42/8.95 | (63) ! [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)))) % 27.42/8.95 | (64) ! [v0] : ( ~ (aVector0(v0) = 0) | ? [v1] : (aDimensionOf0(v0) = v1 & aNaturalNumber0(v1) = 0)) % 27.42/8.95 | (65) sdtlbdtrb0(xt, all_0_14_14) = xB % 27.42/8.95 | (66) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0)) % 27.42/8.95 | (67) ! [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))) % 27.42/8.95 | (68) sdtasdt0(xS, xS) = all_0_6_6 % 27.42/8.95 | (69) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (iLess0(v0, v1) = v2) | ~ (szszuzczcdt0(v0) = v1) | ? [v3] : ( ~ (v3 = 0) & aNaturalNumber0(v0) = v3)) % 27.42/8.95 | (70) aScalar0(sz0z00) = 0 % 27.42/8.95 | (71) smndt0(xS) = all_0_8_8 % 27.42/8.95 | (72) sdtasdt0(xF, xD) = xS % 27.42/8.95 | (73) ! [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_14_14) = v12 & ( ~ (v12 = 0) | ~ (v11 = v10) | ~ (v9 = 0) | ~ (v8 = 0)))) % 27.42/8.95 | (74) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sziznziztdt0(v2) = v1) | ~ (sziznziztdt0(v2) = v0)) % 27.42/8.95 | (75) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) % 27.42/8.95 | (76) aDimensionOf0(xt) = all_0_14_14 % 27.42/8.95 | (77) ! [v0] : ! [v1] : ( ~ (sdtlbdtrb0(xp, v0) = v1) | ? [v2] : ? [v3] : (sdtlbdtrb0(xs, v0) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | v3 = v1))) % 27.42/8.95 | (78) szszuzczcdt0(all_0_13_13) = all_0_14_14 % 27.42/8.95 | (79) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = v0)) % 27.42/8.95 | (80) sziznziztdt0(xt) = xq % 27.42/8.95 | (81) ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (sdtlseqdt0(sz0z00, v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 27.42/8.95 | (82) ! [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)))) % 27.42/8.95 | (83) sdtasdt0(all_0_8_8, all_0_8_8) = all_0_6_6 % 27.42/8.95 | (84) sdtasdt0(all_0_8_8, xR) = all_0_7_7 % 27.42/8.95 | (85) ! [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))) % 27.42/8.95 | (86) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0)) % 27.42/8.95 | (87) sdtasasdt0(xp, xq) = xE % 27.42/8.95 | (88) ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = 0 & ~ (v1 = sz00))))) % 27.42/8.95 | (89) ! [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)))) % 27.42/8.95 | (90) sdtasdt0(xA, xA) = xF % 27.42/8.95 | (91) aScalar0(xP) = 0 % 27.42/8.95 | (92) ! [v0] : (v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ? [v1] : (szszuzczcdt0(v1) = v0 & aNaturalNumber0(v1) = 0)) % 27.42/8.95 | (93) sdtasdt0(xR, all_0_8_8) = all_0_7_7 % 27.42/8.95 | (94) ! [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)))) % 27.42/8.96 | (95) aVector0(xs) = 0 % 27.42/8.96 | (96) aDimensionOf0(xs) = all_0_14_14 % 27.42/8.96 | (97) aVector0(xp) = 0 % 27.42/8.96 | (98) sdtlbdtrb0(xs, all_0_14_14) = xA % 27.42/8.96 | (99) sdtpldt0(xR, all_0_8_8) = all_0_5_5 % 27.42/8.96 | (100) sdtpldt0(all_0_7_7, all_0_6_6) = all_0_1_1 % 27.42/8.96 | (101) ! [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)))) % 27.42/8.96 | (102) ! [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)))) % 27.42/8.96 | (103) sdtasdt0(xR, xS) = xN % 27.42/8.96 | (104) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aVector0(v2) = v1) | ~ (aVector0(v2) = v0)) % 27.42/8.96 | (105) sdtpldt0(all_0_2_2, all_0_1_1) = all_0_0_0 % 27.42/8.96 | % 27.42/8.96 | Instantiating formula (46) with all_0_8_8, xS and discharging atoms smndt0(xS) = all_0_8_8, yields: % 27.42/8.96 | (106) ? [v0] : ? [v1] : (aScalar0(all_0_8_8) = v1 & aScalar0(xS) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 27.42/8.96 | % 27.42/8.96 | Instantiating formula (101) 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: % 27.42/8.96 | (107) ? [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))) % 27.42/8.96 | % 27.42/8.96 | Instantiating formula (81) 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: % 27.42/8.96 | (108) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_6_6) = v1 & aScalar0(all_0_8_8) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 27.42/8.96 | % 27.42/8.96 | Instantiating formula (85) 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: % 27.42/8.96 | (109) ? [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)) % 27.42/8.96 | % 27.42/8.96 | Instantiating formula (101) 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: % 27.42/8.96 | (110) ? [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))) % 27.42/8.96 | % 27.42/8.96 | Instantiating formula (85) with all_0_7_7, xR, all_0_8_8 and discharging atoms sdtasdt0(all_0_8_8, xR) = all_0_7_7, yields: % 27.42/8.96 | (111) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_7_7) = v2 & aScalar0(all_0_8_8) = v0 & aScalar0(xR) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 27.42/8.96 | % 27.42/8.96 | Instantiating formula (81) with all_0_6_6, xS and discharging atoms sdtasdt0(xS, xS) = all_0_6_6, yields: % 27.42/8.96 | (112) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_6_6) = v1 & aScalar0(xS) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 27.42/8.96 | % 27.42/8.96 | Instantiating formula (85) with all_0_6_6, xS, xS and discharging atoms sdtasdt0(xS, xS) = all_0_6_6, yields: % 27.42/8.96 | (113) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_6_6) = v2 & aScalar0(xS) = v1 & aScalar0(xS) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 27.42/8.96 | % 27.42/8.96 | Instantiating formula (85) with all_0_7_7, all_0_8_8, xR and discharging atoms sdtasdt0(xR, all_0_8_8) = all_0_7_7, yields: % 27.42/8.96 | (114) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_7_7) = v2 & aScalar0(all_0_8_8) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 27.42/8.96 | % 27.42/8.96 | Instantiating formula (81) with all_0_3_3, xR and discharging atoms sdtasdt0(xR, xR) = all_0_3_3, yields: % 27.42/8.96 | (115) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_3_3) = v1 & aScalar0(xR) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 27.42/8.96 | % 27.42/8.96 | Instantiating formula (85) with all_0_3_3, xR, xR and discharging atoms sdtasdt0(xR, xR) = all_0_3_3, yields: % 27.42/8.96 | (116) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_3_3) = v2 & aScalar0(xR) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 27.42/8.96 | % 27.42/8.96 | Instantiating formula (20) 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: % 27.42/8.96 | (117) ? [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))) % 27.42/8.96 | % 27.42/8.96 | Instantiating formula (47) 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: % 27.42/8.97 | (118) ? [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)) % 27.42/8.97 | % 27.42/8.97 | Instantiating formula (20) 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: % 27.42/8.97 | (119) ? [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))) % 27.42/8.97 | % 27.42/8.97 | Instantiating formula (35) with all_0_5_5, all_0_8_8, xR and discharging atoms sdtpldt0(xR, all_0_8_8) = all_0_5_5, yields: % 27.42/8.97 | (120) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_5_5) = v2 & aScalar0(all_0_8_8) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0)) % 27.42/8.97 | % 27.42/8.97 | Instantiating (119) with all_12_0_20, all_12_1_21, all_12_2_22, all_12_3_23, all_12_4_24, all_12_5_25, all_12_6_26, all_12_7_27, all_12_8_28 yields: % 27.42/8.97 | (121) sdtasdt0(all_12_3_23, all_0_8_8) = all_12_2_22 & sdtasdt0(all_0_8_8, all_12_5_25) = all_12_4_24 & sdtasdt0(xR, all_0_8_8) = all_12_1_21 & sdtpldt0(all_0_6_6, all_12_1_21) = all_12_0_20 & sdtpldt0(all_0_8_8, xR) = all_12_3_23 & sdtpldt0(xR, all_0_8_8) = all_12_5_25 & aScalar0(all_0_8_8) = all_12_6_26 & aScalar0(all_0_8_8) = all_12_8_28 & aScalar0(xR) = all_12_7_27 & ( ~ (all_12_6_26 = 0) | ~ (all_12_7_27 = 0) | ~ (all_12_8_28 = 0) | (all_12_0_20 = all_12_2_22 & all_12_4_24 = all_0_1_1)) % 27.42/8.97 | % 27.42/8.97 | Applying alpha-rule on (121) yields: % 27.42/8.97 | (122) sdtpldt0(all_0_8_8, xR) = all_12_3_23 % 27.42/8.97 | (123) aScalar0(all_0_8_8) = all_12_8_28 % 27.42/8.97 | (124) ~ (all_12_6_26 = 0) | ~ (all_12_7_27 = 0) | ~ (all_12_8_28 = 0) | (all_12_0_20 = all_12_2_22 & all_12_4_24 = all_0_1_1) % 27.42/8.97 | (125) sdtpldt0(all_0_6_6, all_12_1_21) = all_12_0_20 % 27.42/8.97 | (126) aScalar0(xR) = all_12_7_27 % 27.42/8.97 | (127) aScalar0(all_0_8_8) = all_12_6_26 % 27.42/8.97 | (128) sdtasdt0(all_0_8_8, all_12_5_25) = all_12_4_24 % 27.42/8.97 | (129) sdtasdt0(xR, all_0_8_8) = all_12_1_21 % 27.42/8.97 | (130) sdtasdt0(all_12_3_23, all_0_8_8) = all_12_2_22 % 27.42/8.97 | (131) sdtpldt0(xR, all_0_8_8) = all_12_5_25 % 27.42/8.97 | % 27.42/8.97 | Instantiating (117) with all_16_0_40, all_16_1_41, all_16_2_42, all_16_3_43, all_16_4_44, all_16_5_45, all_16_6_46, all_16_7_47, all_16_8_48 yields: % 27.42/8.97 | (132) sdtasdt0(all_16_3_43, all_0_8_8) = all_16_2_42 & sdtasdt0(xR, all_16_5_45) = all_16_4_44 & sdtasdt0(xR, all_0_8_8) = all_16_1_41 & sdtpldt0(all_0_7_7, all_16_1_41) = all_16_0_40 & sdtpldt0(xR, all_0_8_8) = all_16_5_45 & sdtpldt0(xR, xR) = all_16_3_43 & aScalar0(all_0_8_8) = all_16_6_46 & aScalar0(xR) = all_16_7_47 & aScalar0(xR) = all_16_8_48 & ( ~ (all_16_6_46 = 0) | ~ (all_16_7_47 = 0) | ~ (all_16_8_48 = 0) | (all_16_0_40 = all_16_2_42 & all_16_4_44 = all_0_2_2)) % 27.42/8.97 | % 27.42/8.97 | Applying alpha-rule on (132) yields: % 27.42/8.97 | (133) sdtasdt0(xR, all_0_8_8) = all_16_1_41 % 27.42/8.97 | (134) aScalar0(xR) = all_16_8_48 % 27.42/8.97 | (135) sdtasdt0(all_16_3_43, all_0_8_8) = all_16_2_42 % 27.42/8.97 | (136) sdtpldt0(xR, xR) = all_16_3_43 % 27.42/8.97 | (137) sdtpldt0(all_0_7_7, all_16_1_41) = all_16_0_40 % 27.42/8.97 | (138) aScalar0(xR) = all_16_7_47 % 27.42/8.97 | (139) sdtpldt0(xR, all_0_8_8) = all_16_5_45 % 27.42/8.97 | (140) ~ (all_16_6_46 = 0) | ~ (all_16_7_47 = 0) | ~ (all_16_8_48 = 0) | (all_16_0_40 = all_16_2_42 & all_16_4_44 = all_0_2_2) % 27.42/8.97 | (141) aScalar0(all_0_8_8) = all_16_6_46 % 27.42/8.97 | (142) sdtasdt0(xR, all_16_5_45) = all_16_4_44 % 27.42/8.97 | % 27.42/8.97 | Instantiating (118) with all_18_0_49, all_18_1_50, all_18_2_51, all_18_3_52, all_18_4_53, all_18_5_54, all_18_6_55 yields: % 27.42/8.97 | (143) sdtasdt0(all_18_2_51, all_18_1_50) = all_18_0_49 & sdtpldt0(xR, all_0_8_8) = all_18_1_50 & sdtpldt0(xR, all_0_8_8) = all_18_2_51 & aScalar0(all_0_8_8) = all_18_3_52 & aScalar0(all_0_8_8) = all_18_5_54 & aScalar0(xR) = all_18_4_53 & aScalar0(xR) = all_18_6_55 & ( ~ (all_18_3_52 = 0) | ~ (all_18_4_53 = 0) | ~ (all_18_5_54 = 0) | ~ (all_18_6_55 = 0) | all_18_0_49 = all_0_0_0) % 27.42/8.97 | % 27.42/8.97 | Applying alpha-rule on (143) yields: % 27.42/8.97 | (144) ~ (all_18_3_52 = 0) | ~ (all_18_4_53 = 0) | ~ (all_18_5_54 = 0) | ~ (all_18_6_55 = 0) | all_18_0_49 = all_0_0_0 % 27.42/8.97 | (145) sdtasdt0(all_18_2_51, all_18_1_50) = all_18_0_49 % 27.42/8.97 | (146) aScalar0(xR) = all_18_4_53 % 27.42/8.97 | (147) sdtpldt0(xR, all_0_8_8) = all_18_2_51 % 27.42/8.97 | (148) aScalar0(all_0_8_8) = all_18_3_52 % 27.42/8.97 | (149) aScalar0(xR) = all_18_6_55 % 27.42/8.97 | (150) aScalar0(all_0_8_8) = all_18_5_54 % 27.42/8.97 | (151) sdtpldt0(xR, all_0_8_8) = all_18_1_50 % 27.42/8.97 | % 27.42/8.97 | Instantiating (120) with all_22_0_59, all_22_1_60, all_22_2_61 yields: % 27.42/8.97 | (152) aScalar0(all_0_5_5) = all_22_0_59 & aScalar0(all_0_8_8) = all_22_1_60 & aScalar0(xR) = all_22_2_61 & ( ~ (all_22_1_60 = 0) | ~ (all_22_2_61 = 0) | all_22_0_59 = 0) % 27.42/8.97 | % 27.42/8.97 | Applying alpha-rule on (152) yields: % 27.42/8.97 | (153) aScalar0(all_0_5_5) = all_22_0_59 % 27.42/8.97 | (154) aScalar0(all_0_8_8) = all_22_1_60 % 27.42/8.97 | (155) aScalar0(xR) = all_22_2_61 % 27.42/8.97 | (156) ~ (all_22_1_60 = 0) | ~ (all_22_2_61 = 0) | all_22_0_59 = 0 % 27.42/8.97 | % 27.42/8.97 | Instantiating (116) with all_26_0_65, all_26_1_66, all_26_2_67 yields: % 27.42/8.97 | (157) aScalar0(all_0_3_3) = all_26_0_65 & aScalar0(xR) = all_26_1_66 & aScalar0(xR) = all_26_2_67 & ( ~ (all_26_1_66 = 0) | ~ (all_26_2_67 = 0) | all_26_0_65 = 0) % 27.42/8.97 | % 27.42/8.97 | Applying alpha-rule on (157) yields: % 27.42/8.97 | (158) aScalar0(all_0_3_3) = all_26_0_65 % 27.42/8.97 | (159) aScalar0(xR) = all_26_1_66 % 27.42/8.97 | (160) aScalar0(xR) = all_26_2_67 % 27.42/8.97 | (161) ~ (all_26_1_66 = 0) | ~ (all_26_2_67 = 0) | all_26_0_65 = 0 % 27.42/8.97 | % 27.42/8.97 | Instantiating (106) with all_50_0_97, all_50_1_98 yields: % 27.42/8.97 | (162) aScalar0(all_0_8_8) = all_50_0_97 & aScalar0(xS) = all_50_1_98 & ( ~ (all_50_1_98 = 0) | all_50_0_97 = 0) % 27.42/8.97 | % 27.42/8.97 | Applying alpha-rule on (162) yields: % 27.42/8.97 | (163) aScalar0(all_0_8_8) = all_50_0_97 % 27.42/8.97 | (164) aScalar0(xS) = all_50_1_98 % 27.42/8.97 | (165) ~ (all_50_1_98 = 0) | all_50_0_97 = 0 % 27.42/8.97 | % 27.42/8.97 | Instantiating (115) with all_52_0_99, all_52_1_100 yields: % 27.42/8.97 | (166) sdtlseqdt0(sz0z00, all_0_3_3) = all_52_0_99 & aScalar0(xR) = all_52_1_100 & ( ~ (all_52_1_100 = 0) | all_52_0_99 = 0) % 27.42/8.97 | % 27.42/8.97 | Applying alpha-rule on (166) yields: % 27.42/8.97 | (167) sdtlseqdt0(sz0z00, all_0_3_3) = all_52_0_99 % 27.42/8.97 | (168) aScalar0(xR) = all_52_1_100 % 27.42/8.97 | (169) ~ (all_52_1_100 = 0) | all_52_0_99 = 0 % 27.42/8.97 | % 27.42/8.97 | Instantiating (114) with all_60_0_108, all_60_1_109, all_60_2_110 yields: % 27.42/8.98 | (170) aScalar0(all_0_7_7) = all_60_0_108 & aScalar0(all_0_8_8) = all_60_1_109 & aScalar0(xR) = all_60_2_110 & ( ~ (all_60_1_109 = 0) | ~ (all_60_2_110 = 0) | all_60_0_108 = 0) % 27.42/8.98 | % 27.42/8.98 | Applying alpha-rule on (170) yields: % 27.42/8.98 | (171) aScalar0(all_0_7_7) = all_60_0_108 % 27.42/8.98 | (172) aScalar0(all_0_8_8) = all_60_1_109 % 27.42/8.98 | (173) aScalar0(xR) = all_60_2_110 % 27.42/8.98 | (174) ~ (all_60_1_109 = 0) | ~ (all_60_2_110 = 0) | all_60_0_108 = 0 % 27.42/8.98 | % 27.42/8.98 | Instantiating (111) with all_68_0_120, all_68_1_121, all_68_2_122 yields: % 27.42/8.98 | (175) aScalar0(all_0_7_7) = all_68_0_120 & aScalar0(all_0_8_8) = all_68_2_122 & aScalar0(xR) = all_68_1_121 & ( ~ (all_68_1_121 = 0) | ~ (all_68_2_122 = 0) | all_68_0_120 = 0) % 27.42/8.98 | % 27.42/8.98 | Applying alpha-rule on (175) yields: % 27.42/8.98 | (176) aScalar0(all_0_7_7) = all_68_0_120 % 27.42/8.98 | (177) aScalar0(all_0_8_8) = all_68_2_122 % 27.42/8.98 | (178) aScalar0(xR) = all_68_1_121 % 27.42/8.98 | (179) ~ (all_68_1_121 = 0) | ~ (all_68_2_122 = 0) | all_68_0_120 = 0 % 27.42/8.98 | % 27.42/8.98 | Instantiating (110) with all_70_0_123, all_70_1_124, all_70_2_125, all_70_3_126, all_70_4_127, all_70_5_128 yields: % 27.42/8.98 | (180) smndt0(all_70_1_124) = all_70_0_123 & smndt0(xR) = all_70_3_126 & sdtasdt0(xS, all_70_3_126) = all_70_2_125 & sdtasdt0(xS, xR) = all_70_1_124 & aScalar0(xS) = all_70_5_128 & aScalar0(xR) = all_70_4_127 & ( ~ (all_70_4_127 = 0) | ~ (all_70_5_128 = 0) | (all_70_0_123 = all_0_7_7 & all_70_2_125 = all_0_7_7)) % 27.42/8.98 | % 27.42/8.98 | Applying alpha-rule on (180) yields: % 27.42/8.98 | (181) sdtasdt0(xS, xR) = all_70_1_124 % 27.42/8.98 | (182) smndt0(xR) = all_70_3_126 % 27.42/8.98 | (183) aScalar0(xS) = all_70_5_128 % 27.42/8.98 | (184) aScalar0(xR) = all_70_4_127 % 27.42/8.98 | (185) ~ (all_70_4_127 = 0) | ~ (all_70_5_128 = 0) | (all_70_0_123 = all_0_7_7 & all_70_2_125 = all_0_7_7) % 27.42/8.98 | (186) sdtasdt0(xS, all_70_3_126) = all_70_2_125 % 27.42/8.98 | (187) smndt0(all_70_1_124) = all_70_0_123 % 27.42/8.98 | % 27.42/8.98 | Instantiating (109) with all_74_0_131, all_74_1_132, all_74_2_133 yields: % 27.42/8.98 | (188) aScalar0(all_0_6_6) = all_74_0_131 & aScalar0(all_0_8_8) = all_74_1_132 & aScalar0(all_0_8_8) = all_74_2_133 & ( ~ (all_74_1_132 = 0) | ~ (all_74_2_133 = 0) | all_74_0_131 = 0) % 27.42/8.98 | % 27.42/8.98 | Applying alpha-rule on (188) yields: % 27.42/8.98 | (189) aScalar0(all_0_6_6) = all_74_0_131 % 27.42/8.98 | (190) aScalar0(all_0_8_8) = all_74_1_132 % 27.42/8.98 | (191) aScalar0(all_0_8_8) = all_74_2_133 % 27.42/8.98 | (192) ~ (all_74_1_132 = 0) | ~ (all_74_2_133 = 0) | all_74_0_131 = 0 % 27.42/8.98 | % 27.42/8.98 | Instantiating (108) with all_76_0_134, all_76_1_135 yields: % 27.42/8.98 | (193) sdtlseqdt0(sz0z00, all_0_6_6) = all_76_0_134 & aScalar0(all_0_8_8) = all_76_1_135 & ( ~ (all_76_1_135 = 0) | all_76_0_134 = 0) % 27.42/8.98 | % 27.42/8.98 | Applying alpha-rule on (193) yields: % 27.42/8.98 | (194) sdtlseqdt0(sz0z00, all_0_6_6) = all_76_0_134 % 27.42/8.98 | (195) aScalar0(all_0_8_8) = all_76_1_135 % 27.42/8.98 | (196) ~ (all_76_1_135 = 0) | all_76_0_134 = 0 % 27.42/8.98 | % 27.42/8.98 | Instantiating (107) with all_82_0_140, all_82_1_141, all_82_2_142, all_82_3_143, all_82_4_144, all_82_5_145 yields: % 27.42/8.98 | (197) smndt0(all_82_1_141) = all_82_0_140 & smndt0(all_0_8_8) = all_82_3_143 & sdtasdt0(xS, all_82_3_143) = all_82_2_142 & sdtasdt0(xS, all_0_8_8) = all_82_1_141 & aScalar0(all_0_8_8) = all_82_4_144 & aScalar0(xS) = all_82_5_145 & ( ~ (all_82_4_144 = 0) | ~ (all_82_5_145 = 0) | (all_82_0_140 = all_0_6_6 & all_82_2_142 = all_0_6_6)) % 27.42/8.98 | % 27.42/8.98 | Applying alpha-rule on (197) yields: % 27.42/8.98 | (198) sdtasdt0(xS, all_82_3_143) = all_82_2_142 % 27.42/8.98 | (199) smndt0(all_82_1_141) = all_82_0_140 % 27.42/8.98 | (200) sdtasdt0(xS, all_0_8_8) = all_82_1_141 % 27.42/8.98 | (201) ~ (all_82_4_144 = 0) | ~ (all_82_5_145 = 0) | (all_82_0_140 = all_0_6_6 & all_82_2_142 = all_0_6_6) % 27.42/8.98 | (202) aScalar0(xS) = all_82_5_145 % 27.42/8.98 | (203) aScalar0(all_0_8_8) = all_82_4_144 % 27.42/8.98 | (204) smndt0(all_0_8_8) = all_82_3_143 % 27.42/8.98 | % 27.42/8.98 | Instantiating (113) with all_84_0_146, all_84_1_147, all_84_2_148 yields: % 27.42/8.98 | (205) aScalar0(all_0_6_6) = all_84_0_146 & aScalar0(xS) = all_84_1_147 & aScalar0(xS) = all_84_2_148 & ( ~ (all_84_1_147 = 0) | ~ (all_84_2_148 = 0) | all_84_0_146 = 0) % 27.42/8.98 | % 27.42/8.98 | Applying alpha-rule on (205) yields: % 27.42/8.98 | (206) aScalar0(all_0_6_6) = all_84_0_146 % 27.42/8.98 | (207) aScalar0(xS) = all_84_1_147 % 27.42/8.98 | (208) aScalar0(xS) = all_84_2_148 % 27.42/8.98 | (209) ~ (all_84_1_147 = 0) | ~ (all_84_2_148 = 0) | all_84_0_146 = 0 % 27.42/8.98 | % 27.42/8.98 | Instantiating (112) with all_86_0_149, all_86_1_150 yields: % 27.42/8.98 | (210) sdtlseqdt0(sz0z00, all_0_6_6) = all_86_0_149 & aScalar0(xS) = all_86_1_150 & ( ~ (all_86_1_150 = 0) | all_86_0_149 = 0) % 27.42/8.99 | % 27.42/8.99 | Applying alpha-rule on (210) yields: % 27.42/8.99 | (211) sdtlseqdt0(sz0z00, all_0_6_6) = all_86_0_149 % 27.42/8.99 | (212) aScalar0(xS) = all_86_1_150 % 27.42/8.99 | (213) ~ (all_86_1_150 = 0) | all_86_0_149 = 0 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (34) with xR, all_0_8_8, all_18_2_51, all_18_1_50 and discharging atoms sdtpldt0(xR, all_0_8_8) = all_18_1_50, sdtpldt0(xR, all_0_8_8) = all_18_2_51, yields: % 27.42/8.99 | (214) all_18_1_50 = all_18_2_51 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (34) with xR, all_0_8_8, all_16_5_45, all_0_5_5 and discharging atoms sdtpldt0(xR, all_0_8_8) = all_16_5_45, sdtpldt0(xR, all_0_8_8) = all_0_5_5, yields: % 27.42/8.99 | (215) all_16_5_45 = all_0_5_5 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (34) with xR, all_0_8_8, all_16_5_45, all_18_2_51 and discharging atoms sdtpldt0(xR, all_0_8_8) = all_18_2_51, sdtpldt0(xR, all_0_8_8) = all_16_5_45, yields: % 27.42/8.99 | (216) all_18_2_51 = all_16_5_45 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (34) with xR, all_0_8_8, all_12_5_25, all_18_1_50 and discharging atoms sdtpldt0(xR, all_0_8_8) = all_18_1_50, sdtpldt0(xR, all_0_8_8) = all_12_5_25, yields: % 27.42/8.99 | (217) all_18_1_50 = all_12_5_25 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with all_0_8_8, all_74_1_132, all_82_4_144 and discharging atoms aScalar0(all_0_8_8) = all_82_4_144, aScalar0(all_0_8_8) = all_74_1_132, yields: % 27.42/8.99 | (218) all_82_4_144 = all_74_1_132 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with all_0_8_8, all_74_1_132, all_76_1_135 and discharging atoms aScalar0(all_0_8_8) = all_76_1_135, aScalar0(all_0_8_8) = all_74_1_132, yields: % 27.42/8.99 | (219) all_76_1_135 = all_74_1_132 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with all_0_8_8, all_74_2_133, all_82_4_144 and discharging atoms aScalar0(all_0_8_8) = all_82_4_144, aScalar0(all_0_8_8) = all_74_2_133, yields: % 27.42/8.99 | (220) all_82_4_144 = all_74_2_133 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with all_0_8_8, all_68_2_122, all_82_4_144 and discharging atoms aScalar0(all_0_8_8) = all_82_4_144, aScalar0(all_0_8_8) = all_68_2_122, yields: % 27.42/8.99 | (221) all_82_4_144 = all_68_2_122 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with all_0_8_8, all_60_1_109, all_68_2_122 and discharging atoms aScalar0(all_0_8_8) = all_68_2_122, aScalar0(all_0_8_8) = all_60_1_109, yields: % 27.42/8.99 | (222) all_68_2_122 = all_60_1_109 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with all_0_8_8, all_50_0_97, all_60_1_109 and discharging atoms aScalar0(all_0_8_8) = all_60_1_109, aScalar0(all_0_8_8) = all_50_0_97, yields: % 27.42/8.99 | (223) all_60_1_109 = all_50_0_97 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with all_0_8_8, all_22_1_60, all_76_1_135 and discharging atoms aScalar0(all_0_8_8) = all_76_1_135, aScalar0(all_0_8_8) = all_22_1_60, yields: % 27.42/8.99 | (224) all_76_1_135 = all_22_1_60 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with all_0_8_8, all_18_3_52, all_50_0_97 and discharging atoms aScalar0(all_0_8_8) = all_50_0_97, aScalar0(all_0_8_8) = all_18_3_52, yields: % 27.42/8.99 | (225) all_50_0_97 = all_18_3_52 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with all_0_8_8, all_18_5_54, all_18_3_52 and discharging atoms aScalar0(all_0_8_8) = all_18_3_52, aScalar0(all_0_8_8) = all_18_5_54, yields: % 27.42/8.99 | (226) all_18_3_52 = all_18_5_54 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with all_0_8_8, all_16_6_46, all_18_3_52 and discharging atoms aScalar0(all_0_8_8) = all_18_3_52, aScalar0(all_0_8_8) = all_16_6_46, yields: % 27.42/8.99 | (227) all_18_3_52 = all_16_6_46 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with all_0_8_8, all_12_6_26, all_50_0_97 and discharging atoms aScalar0(all_0_8_8) = all_50_0_97, aScalar0(all_0_8_8) = all_12_6_26, yields: % 27.42/8.99 | (228) all_50_0_97 = all_12_6_26 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with all_0_8_8, all_12_8_28, all_16_6_46 and discharging atoms aScalar0(all_0_8_8) = all_16_6_46, aScalar0(all_0_8_8) = all_12_8_28, yields: % 27.42/8.99 | (229) all_16_6_46 = all_12_8_28 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with xS, all_86_1_150, 0 and discharging atoms aScalar0(xS) = all_86_1_150, aScalar0(xS) = 0, yields: % 27.42/8.99 | (230) all_86_1_150 = 0 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with xS, all_84_1_147, all_86_1_150 and discharging atoms aScalar0(xS) = all_86_1_150, aScalar0(xS) = all_84_1_147, yields: % 27.42/8.99 | (231) all_86_1_150 = all_84_1_147 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with xS, all_84_2_148, all_84_1_147 and discharging atoms aScalar0(xS) = all_84_1_147, aScalar0(xS) = all_84_2_148, yields: % 27.42/8.99 | (232) all_84_1_147 = all_84_2_148 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with xS, all_82_5_145, all_84_1_147 and discharging atoms aScalar0(xS) = all_84_1_147, aScalar0(xS) = all_82_5_145, yields: % 27.42/8.99 | (233) all_84_1_147 = all_82_5_145 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with xS, all_70_5_128, all_82_5_145 and discharging atoms aScalar0(xS) = all_82_5_145, aScalar0(xS) = all_70_5_128, yields: % 27.42/8.99 | (234) all_82_5_145 = all_70_5_128 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with xS, all_50_1_98, all_70_5_128 and discharging atoms aScalar0(xS) = all_70_5_128, aScalar0(xS) = all_50_1_98, yields: % 27.42/8.99 | (235) all_70_5_128 = all_50_1_98 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with xR, all_68_1_121, all_70_4_127 and discharging atoms aScalar0(xR) = all_70_4_127, aScalar0(xR) = all_68_1_121, yields: % 27.42/8.99 | (236) all_70_4_127 = all_68_1_121 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with xR, all_60_2_110, all_68_1_121 and discharging atoms aScalar0(xR) = all_68_1_121, aScalar0(xR) = all_60_2_110, yields: % 27.42/8.99 | (237) all_68_1_121 = all_60_2_110 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with xR, all_26_1_66, all_60_2_110 and discharging atoms aScalar0(xR) = all_60_2_110, aScalar0(xR) = all_26_1_66, yields: % 27.42/8.99 | (238) all_60_2_110 = all_26_1_66 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with xR, all_26_1_66, all_52_1_100 and discharging atoms aScalar0(xR) = all_52_1_100, aScalar0(xR) = all_26_1_66, yields: % 27.42/8.99 | (239) all_52_1_100 = all_26_1_66 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with xR, all_26_2_67, all_52_1_100 and discharging atoms aScalar0(xR) = all_52_1_100, aScalar0(xR) = all_26_2_67, yields: % 27.42/8.99 | (240) all_52_1_100 = all_26_2_67 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with xR, all_22_2_61, all_52_1_100 and discharging atoms aScalar0(xR) = all_52_1_100, aScalar0(xR) = all_22_2_61, yields: % 27.42/8.99 | (241) all_52_1_100 = all_22_2_61 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with xR, all_18_4_53, all_22_2_61 and discharging atoms aScalar0(xR) = all_22_2_61, aScalar0(xR) = all_18_4_53, yields: % 27.42/8.99 | (242) all_22_2_61 = all_18_4_53 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with xR, all_18_6_55, all_18_4_53 and discharging atoms aScalar0(xR) = all_18_4_53, aScalar0(xR) = all_18_6_55, yields: % 27.42/8.99 | (243) all_18_4_53 = all_18_6_55 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with xR, all_16_7_47, 0 and discharging atoms aScalar0(xR) = all_16_7_47, aScalar0(xR) = 0, yields: % 27.42/8.99 | (244) all_16_7_47 = 0 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with xR, all_16_7_47, all_18_6_55 and discharging atoms aScalar0(xR) = all_18_6_55, aScalar0(xR) = all_16_7_47, yields: % 27.42/8.99 | (245) all_18_6_55 = all_16_7_47 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with xR, all_16_8_48, all_70_4_127 and discharging atoms aScalar0(xR) = all_70_4_127, aScalar0(xR) = all_16_8_48, yields: % 27.42/8.99 | (246) all_70_4_127 = all_16_8_48 % 27.42/8.99 | % 27.42/8.99 | Instantiating formula (66) with xR, all_12_7_27, all_16_7_47 and discharging atoms aScalar0(xR) = all_16_7_47, aScalar0(xR) = all_12_7_27, yields: % 27.42/8.99 | (247) all_16_7_47 = all_12_7_27 % 27.42/8.99 | % 27.42/8.99 | Combining equations (231,230) yields a new equation: % 27.42/8.99 | (248) all_84_1_147 = 0 % 27.42/8.99 | % 27.42/8.99 | Simplifying 248 yields: % 27.42/8.99 | (249) all_84_1_147 = 0 % 27.42/8.99 | % 27.42/8.99 | Combining equations (249,232) yields a new equation: % 27.42/8.99 | (250) all_84_2_148 = 0 % 27.42/8.99 | % 27.42/8.99 | Combining equations (233,232) yields a new equation: % 27.42/8.99 | (251) all_84_2_148 = all_82_5_145 % 27.42/9.00 | % 27.42/9.00 | Combining equations (251,250) yields a new equation: % 27.42/9.00 | (252) all_82_5_145 = 0 % 27.42/9.00 | % 27.42/9.00 | Simplifying 252 yields: % 27.42/9.00 | (253) all_82_5_145 = 0 % 27.42/9.00 | % 27.42/9.00 | Combining equations (218,220) yields a new equation: % 27.42/9.00 | (254) all_74_1_132 = all_74_2_133 % 27.42/9.00 | % 27.42/9.00 | Simplifying 254 yields: % 27.42/9.00 | (255) all_74_1_132 = all_74_2_133 % 27.42/9.00 | % 27.42/9.00 | Combining equations (221,220) yields a new equation: % 27.42/9.00 | (256) all_74_2_133 = all_68_2_122 % 27.42/9.00 | % 27.42/9.00 | Combining equations (234,253) yields a new equation: % 27.42/9.00 | (257) all_70_5_128 = 0 % 27.42/9.00 | % 27.42/9.00 | Simplifying 257 yields: % 27.42/9.00 | (258) all_70_5_128 = 0 % 27.42/9.00 | % 27.42/9.00 | Combining equations (219,224) yields a new equation: % 27.42/9.00 | (259) all_74_1_132 = all_22_1_60 % 27.42/9.00 | % 27.42/9.00 | Simplifying 259 yields: % 27.42/9.00 | (260) all_74_1_132 = all_22_1_60 % 27.42/9.00 | % 27.42/9.00 | Combining equations (255,260) yields a new equation: % 27.42/9.00 | (261) all_74_2_133 = all_22_1_60 % 27.42/9.00 | % 27.42/9.00 | Simplifying 261 yields: % 27.42/9.00 | (262) all_74_2_133 = all_22_1_60 % 27.42/9.00 | % 27.42/9.00 | Combining equations (256,262) yields a new equation: % 27.42/9.00 | (263) all_68_2_122 = all_22_1_60 % 27.42/9.00 | % 27.42/9.00 | Simplifying 263 yields: % 27.42/9.00 | (264) all_68_2_122 = all_22_1_60 % 27.42/9.00 | % 27.42/9.00 | Combining equations (236,246) yields a new equation: % 27.42/9.00 | (265) all_68_1_121 = all_16_8_48 % 27.42/9.00 | % 27.42/9.00 | Simplifying 265 yields: % 27.42/9.00 | (266) all_68_1_121 = all_16_8_48 % 27.42/9.00 | % 27.42/9.00 | Combining equations (235,258) yields a new equation: % 27.42/9.00 | (267) all_50_1_98 = 0 % 27.42/9.00 | % 27.42/9.00 | Simplifying 267 yields: % 27.42/9.00 | (268) all_50_1_98 = 0 % 27.42/9.00 | % 27.42/9.00 | Combining equations (237,266) yields a new equation: % 27.42/9.00 | (269) all_60_2_110 = all_16_8_48 % 27.42/9.00 | % 27.42/9.00 | Simplifying 269 yields: % 27.42/9.00 | (270) all_60_2_110 = all_16_8_48 % 27.42/9.00 | % 27.42/9.00 | Combining equations (222,264) yields a new equation: % 27.42/9.00 | (271) all_60_1_109 = all_22_1_60 % 27.42/9.00 | % 27.42/9.00 | Simplifying 271 yields: % 27.42/9.00 | (272) all_60_1_109 = all_22_1_60 % 27.42/9.00 | % 27.42/9.00 | Combining equations (223,272) yields a new equation: % 27.42/9.00 | (273) all_50_0_97 = all_22_1_60 % 27.42/9.00 | % 27.42/9.00 | Simplifying 273 yields: % 27.42/9.00 | (274) all_50_0_97 = all_22_1_60 % 27.42/9.00 | % 27.42/9.00 | Combining equations (238,270) yields a new equation: % 27.42/9.00 | (275) all_26_1_66 = all_16_8_48 % 27.42/9.00 | % 27.42/9.00 | Simplifying 275 yields: % 27.42/9.00 | (276) all_26_1_66 = all_16_8_48 % 27.42/9.00 | % 27.42/9.00 | Combining equations (241,240) yields a new equation: % 27.42/9.00 | (277) all_26_2_67 = all_22_2_61 % 27.42/9.00 | % 27.42/9.00 | Combining equations (239,240) yields a new equation: % 27.42/9.00 | (278) all_26_1_66 = all_26_2_67 % 27.42/9.00 | % 27.42/9.00 | Simplifying 278 yields: % 27.42/9.00 | (279) all_26_1_66 = all_26_2_67 % 27.42/9.00 | % 27.42/9.00 | Combining equations (225,274) yields a new equation: % 27.42/9.00 | (280) all_22_1_60 = all_18_3_52 % 27.42/9.00 | % 27.42/9.00 | Combining equations (228,274) yields a new equation: % 27.42/9.00 | (281) all_22_1_60 = all_12_6_26 % 27.42/9.00 | % 27.42/9.00 | Combining equations (279,276) yields a new equation: % 27.42/9.00 | (282) all_26_2_67 = all_16_8_48 % 27.42/9.00 | % 27.42/9.00 | Simplifying 282 yields: % 27.42/9.00 | (283) all_26_2_67 = all_16_8_48 % 27.42/9.00 | % 27.42/9.00 | Combining equations (277,283) yields a new equation: % 27.42/9.00 | (284) all_22_2_61 = all_16_8_48 % 27.42/9.00 | % 27.42/9.00 | Simplifying 284 yields: % 27.42/9.00 | (285) all_22_2_61 = all_16_8_48 % 27.42/9.00 | % 27.42/9.00 | Combining equations (280,281) yields a new equation: % 27.42/9.00 | (286) all_18_3_52 = all_12_6_26 % 27.42/9.00 | % 27.42/9.00 | Simplifying 286 yields: % 27.42/9.00 | (287) all_18_3_52 = all_12_6_26 % 27.42/9.00 | % 27.42/9.00 | Combining equations (242,285) yields a new equation: % 27.42/9.00 | (288) all_18_4_53 = all_16_8_48 % 27.42/9.00 | % 27.42/9.00 | Simplifying 288 yields: % 27.42/9.00 | (289) all_18_4_53 = all_16_8_48 % 27.42/9.00 | % 27.42/9.00 | Combining equations (214,217) yields a new equation: % 27.42/9.00 | (290) all_18_2_51 = all_12_5_25 % 27.42/9.00 | % 27.42/9.00 | Simplifying 290 yields: % 27.42/9.00 | (291) all_18_2_51 = all_12_5_25 % 27.42/9.00 | % 27.42/9.00 | Combining equations (216,291) yields a new equation: % 27.42/9.00 | (292) all_16_5_45 = all_12_5_25 % 27.42/9.00 | % 27.42/9.00 | Simplifying 292 yields: % 27.42/9.00 | (293) all_16_5_45 = all_12_5_25 % 27.42/9.00 | % 27.42/9.00 | Combining equations (227,226) yields a new equation: % 27.42/9.00 | (294) all_18_5_54 = all_16_6_46 % 27.42/9.00 | % 27.42/9.00 | Combining equations (287,226) yields a new equation: % 27.42/9.00 | (295) all_18_5_54 = all_12_6_26 % 27.42/9.00 | % 27.42/9.00 | Combining equations (243,289) yields a new equation: % 27.42/9.00 | (296) all_18_6_55 = all_16_8_48 % 27.42/9.00 | % 27.42/9.00 | Simplifying 296 yields: % 27.42/9.00 | (297) all_18_6_55 = all_16_8_48 % 27.42/9.00 | % 27.42/9.00 | Combining equations (294,295) yields a new equation: % 27.42/9.00 | (298) all_16_6_46 = all_12_6_26 % 27.42/9.00 | % 27.42/9.00 | Simplifying 298 yields: % 27.42/9.00 | (299) all_16_6_46 = all_12_6_26 % 27.42/9.00 | % 27.42/9.00 | Combining equations (245,297) yields a new equation: % 27.42/9.00 | (300) all_16_7_47 = all_16_8_48 % 27.42/9.00 | % 27.42/9.00 | Simplifying 300 yields: % 27.42/9.00 | (301) all_16_7_47 = all_16_8_48 % 27.42/9.00 | % 27.42/9.00 | Combining equations (215,293) yields a new equation: % 27.42/9.00 | (302) all_12_5_25 = all_0_5_5 % 27.42/9.00 | % 27.42/9.00 | Combining equations (229,299) yields a new equation: % 27.42/9.00 | (303) all_12_6_26 = all_12_8_28 % 27.42/9.00 | % 27.42/9.00 | Combining equations (247,301) yields a new equation: % 27.42/9.00 | (304) all_16_8_48 = all_12_7_27 % 27.42/9.00 | % 27.42/9.00 | Combining equations (244,301) yields a new equation: % 27.42/9.00 | (305) all_16_8_48 = 0 % 27.42/9.00 | % 27.42/9.00 | Combining equations (305,304) yields a new equation: % 27.42/9.00 | (306) all_12_7_27 = 0 % 27.42/9.00 | % 27.42/9.00 | Combining equations (306,304) yields a new equation: % 27.42/9.00 | (305) all_16_8_48 = 0 % 27.42/9.00 | % 27.42/9.00 | Combining equations (305,297) yields a new equation: % 27.42/9.00 | (308) all_18_6_55 = 0 % 27.42/9.00 | % 27.42/9.00 | Combining equations (303,295) yields a new equation: % 27.42/9.00 | (309) all_18_5_54 = all_12_8_28 % 27.42/9.00 | % 27.42/9.00 | Combining equations (305,289) yields a new equation: % 27.42/9.00 | (310) all_18_4_53 = 0 % 27.42/9.00 | % 27.42/9.00 | Combining equations (309,226) yields a new equation: % 27.42/9.00 | (311) all_18_3_52 = all_12_8_28 % 27.42/9.00 | % 27.42/9.00 | Combining equations (302,291) yields a new equation: % 27.42/9.00 | (312) all_18_2_51 = all_0_5_5 % 27.42/9.00 | % 27.42/9.00 | Combining equations (302,217) yields a new equation: % 27.42/9.00 | (313) all_18_1_50 = all_0_5_5 % 27.42/9.00 | % 27.42/9.00 | Combining equations (303,281) yields a new equation: % 27.42/9.00 | (314) all_22_1_60 = all_12_8_28 % 27.42/9.00 | % 27.42/9.00 | Combining equations (314,274) yields a new equation: % 27.42/9.00 | (315) all_50_0_97 = all_12_8_28 % 27.42/9.00 | % 27.42/9.00 | From (312)(313) and (145) follows: % 27.42/9.00 | (316) sdtasdt0(all_0_5_5, all_0_5_5) = all_18_0_49 % 27.42/9.00 | % 27.42/9.00 +-Applying beta-rule and splitting (165), into two cases. % 27.42/9.00 |-Branch one: % 27.42/9.00 | (317) ~ (all_50_1_98 = 0) % 27.42/9.00 | % 27.42/9.00 | Equations (268) can reduce 317 to: % 27.42/9.00 | (318) $false % 27.42/9.00 | % 27.42/9.00 |-The branch is then unsatisfiable % 27.42/9.00 |-Branch two: % 27.42/9.00 | (268) all_50_1_98 = 0 % 27.42/9.00 | (320) all_50_0_97 = 0 % 27.42/9.00 | % 27.42/9.00 | Combining equations (320,315) yields a new equation: % 27.42/9.00 | (321) all_12_8_28 = 0 % 27.42/9.00 | % 27.42/9.00 | Combining equations (321,309) yields a new equation: % 27.42/9.00 | (322) all_18_5_54 = 0 % 27.42/9.00 | % 27.42/9.00 | Combining equations (321,311) yields a new equation: % 27.42/9.00 | (323) all_18_3_52 = 0 % 27.42/9.00 | % 27.42/9.00 +-Applying beta-rule and splitting (144), into two cases. % 27.42/9.00 |-Branch one: % 27.42/9.00 | (324) ~ (all_18_3_52 = 0) % 27.71/9.00 | % 27.71/9.00 | Equations (323) can reduce 324 to: % 27.71/9.00 | (318) $false % 27.71/9.00 | % 27.71/9.00 |-The branch is then unsatisfiable % 27.71/9.00 |-Branch two: % 27.71/9.00 | (323) all_18_3_52 = 0 % 27.71/9.00 | (327) ~ (all_18_4_53 = 0) | ~ (all_18_5_54 = 0) | ~ (all_18_6_55 = 0) | all_18_0_49 = all_0_0_0 % 27.71/9.00 | % 27.71/9.00 +-Applying beta-rule and splitting (327), into two cases. % 27.71/9.00 |-Branch one: % 27.71/9.00 | (328) ~ (all_18_4_53 = 0) % 27.71/9.00 | % 27.71/9.00 | Equations (310) can reduce 328 to: % 27.71/9.00 | (318) $false % 27.71/9.00 | % 27.71/9.00 |-The branch is then unsatisfiable % 27.71/9.00 |-Branch two: % 27.71/9.00 | (310) all_18_4_53 = 0 % 27.71/9.00 | (331) ~ (all_18_5_54 = 0) | ~ (all_18_6_55 = 0) | all_18_0_49 = all_0_0_0 % 27.71/9.00 | % 27.71/9.00 +-Applying beta-rule and splitting (331), into two cases. % 27.71/9.00 |-Branch one: % 27.71/9.00 | (332) ~ (all_18_5_54 = 0) % 27.71/9.00 | % 27.71/9.00 | Equations (322) can reduce 332 to: % 27.71/9.00 | (318) $false % 27.71/9.00 | % 27.71/9.00 |-The branch is then unsatisfiable % 27.71/9.00 |-Branch two: % 27.71/9.01 | (322) all_18_5_54 = 0 % 27.71/9.01 | (335) ~ (all_18_6_55 = 0) | all_18_0_49 = all_0_0_0 % 27.71/9.01 | % 27.71/9.01 +-Applying beta-rule and splitting (335), into two cases. % 27.71/9.01 |-Branch one: % 27.71/9.01 | (336) ~ (all_18_6_55 = 0) % 27.71/9.01 | % 27.71/9.01 | Equations (308) can reduce 336 to: % 27.71/9.01 | (318) $false % 27.71/9.01 | % 27.71/9.01 |-The branch is then unsatisfiable % 27.71/9.01 |-Branch two: % 27.71/9.01 | (308) all_18_6_55 = 0 % 27.71/9.01 | (339) all_18_0_49 = all_0_0_0 % 27.71/9.01 | % 27.71/9.01 | From (339) and (316) follows: % 27.71/9.01 | (340) sdtasdt0(all_0_5_5, all_0_5_5) = all_0_0_0 % 27.71/9.01 | % 27.71/9.01 | Instantiating formula (52) 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: % 27.71/9.01 | (341) all_0_0_0 = all_0_4_4 % 27.71/9.01 | % 27.71/9.01 | Equations (341) can reduce 21 to: % 27.71/9.01 | (318) $false % 27.71/9.01 | % 27.71/9.01 |-The branch is then unsatisfiable % 27.71/9.01 % SZS output end Proof for theBenchmark % 27.71/9.01 % 27.71/9.01 8405ms %------------------------------------------------------------------------------