%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : RNG062+2 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n021.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 20:25:14 EDT 2022 % Result : Theorem 57.76s 34.77s % Output : Proof 95.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : RNG062+2 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n021.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon May 30 08:45:13 EDT 2022 % 0.12/0.33 % CPUTime : % 0.57/0.57 ____ _ % 0.57/0.57 ___ / __ \_____(_)___ ________ __________ % 0.57/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.57/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.57/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.57/0.57 % 0.57/0.57 A Theorem Prover for First-Order Logic % 0.57/0.57 (ePrincess v.1.0) % 0.57/0.57 % 0.57/0.57 (c) Philipp Rümmer, 2009-2015 % 0.57/0.57 (c) Peter Backeman, 2014-2015 % 0.57/0.57 (contributions by Angelo Brillout, Peter Baumgartner) % 0.57/0.57 Free software under GNU Lesser General Public License (LGPL). % 0.57/0.57 Bug reports to peter@backeman.se % 0.57/0.57 % 0.57/0.57 For more information, visit http://user.uu.se/~petba168/breu/ % 0.57/0.57 % 0.57/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.57/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.84/0.98 Prover 0: Preprocessing ... % 3.84/1.50 Prover 0: Constructing countermodel ... % 15.09/5.91 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 15.30/6.03 Prover 1: Preprocessing ... % 16.25/6.16 Prover 1: Constructing countermodel ... % 23.53/8.51 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 23.85/8.58 Prover 2: Preprocessing ... % 24.83/8.78 Prover 2: Warning: ignoring some quantifiers % 24.83/8.79 Prover 2: Constructing countermodel ... % 31.32/11.59 Prover 0: stopped % 32.01/11.79 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 32.01/11.82 Prover 3: Preprocessing ... % 32.20/11.86 Prover 3: Constructing countermodel ... % 57.76/34.76 Prover 3: proved (22977ms) % 57.76/34.77 Prover 1: stopped % 57.76/34.77 Prover 2: stopped % 57.76/34.77 % 57.76/34.77 No countermodel exists, formula is valid % 57.76/34.77 % SZS status Theorem for theBenchmark % 57.76/34.77 % 57.76/34.77 Generating proof ... found it (size 68) % 95.19/64.28 % 95.19/64.28 % SZS output start Proof for theBenchmark % 95.19/64.28 Assumed formulas after preprocessing and simplification: % 95.19/64.28 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ( ~ (v18 = 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 & aDimensionOf0(xq) = v3 & aDimensionOf0(xp) = v2 & aDimensionOf0(xt) = v1 & aDimensionOf0(xs) = v1 & 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(v17, v8) = v18 & sdtpldt0(v16, v8) = v17 & sdtpldt0(v13, v15) = v11 & sdtpldt0(v13, v14) = v11 & sdtpldt0(v12, v9) = v16 & sdtpldt0(v12, v8) = v13 & sdtpldt0(v9, v8) = v15 & sdtpldt0(v8, v9) = v14 & sdtpldt0(xR, v7) = v10 & szszuzczcdt0(v3) = v1 & szszuzczcdt0(v2) = v1 & aVector0(xq) & aVector0(xp) & aVector0(xt) & aVector0(xs) & sdtlseqdt0(v6, xN) & sdtlseqdt0(v4, v5) & aScalar0(xN) & aScalar0(xS) & aScalar0(xP) & aScalar0(xR) & aScalar0(xH) & aScalar0(xG) & aScalar0(xF) & aScalar0(xE) & aScalar0(xD) & aScalar0(xC) & aScalar0(xB) & aScalar0(xA) & aScalar0(sz0z00) & aNaturalNumber0(sz00) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (sdtasdt0(v20, v22) = v27) | ~ (sdtasdt0(v20, v21) = v26) | ~ (sdtasdt0(v19, v22) = v24) | ~ (sdtasdt0(v19, v21) = v23) | ~ (sdtpldt0(v26, v27) = v28) | ~ (sdtpldt0(v25, v28) = v29) | ~ (sdtpldt0(v23, v24) = v25) | ~ aScalar0(v22) | ~ aScalar0(v21) | ~ aScalar0(v20) | ~ aScalar0(v19) | ? [v30] : ? [v31] : (sdtasdt0(v30, v31) = v29 & sdtpldt0(v21, v22) = v31 & sdtpldt0(v19, v20) = v30)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : (v21 = sz00 | ~ (sdtasasdt0(v22, v23) = v24) | ~ (sziznziztdt0(v20) = v23) | ~ (sziznziztdt0(v19) = v22) | ~ (sdtlbdtrb0(v20, v21) = v26) | ~ (sdtlbdtrb0(v19, v21) = v25) | ~ (aDimensionOf0(v20) = v21) | ~ (aDimensionOf0(v19) = v21) | ~ (sdtasdt0(v25, v26) = v27) | ~ (sdtpldt0(v24, v27) = v28) | ~ aVector0(v20) | ~ aVector0(v19) | sdtasasdt0(v19, v20) = v28) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (sdtasdt0(v20, v22) = v24) | ~ (sdtasdt0(v19, v21) = v23) | ~ sdtlseqdt0(v21, v22) | ~ sdtlseqdt0(v19, v20) | ~ sdtlseqdt0(sz0z00, v21) | ~ aScalar0(v22) | ~ aScalar0(v21) | ~ aScalar0(v20) | ~ aScalar0(v19) | sdtlseqdt0(v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (sdtasdt0(v19, v21) = v23) | ~ (sdtasdt0(v19, v20) = v22) | ~ (sdtpldt0(v22, v23) = v24) | ~ aScalar0(v21) | ~ aScalar0(v20) | ~ aScalar0(v19) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (sdtasdt0(v26, v21) = v27 & sdtasdt0(v20, v21) = v28 & sdtasdt0(v19, v25) = v24 & sdtpldt0(v23, v28) = v27 & sdtpldt0(v20, v21) = v25 & sdtpldt0(v19, v20) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (sdtpldt0(v20, v22) = v24) | ~ (sdtpldt0(v19, v21) = v23) | ~ sdtlseqdt0(v21, v22) | ~ sdtlseqdt0(v19, v20) | ~ aScalar0(v22) | ~ aScalar0(v21) | ~ aScalar0(v20) | ~ aScalar0(v19) | sdtlseqdt0(v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (sdtasasdt0(v20, v20) = v22) | ~ (sdtasasdt0(v19, v19) = v21) | ~ (sdtasdt0(v21, v22) = v23) | ~ aVector0(v20) | ~ aVector0(v19) | ? [v24] : ? [v25] : ((sdtasasdt0(v19, v20) = v24 & sdtasdt0(v24, v24) = v25 & sdtlseqdt0(v25, v23)) | (aDimensionOf0(v19) = v24 & ( ~ iLess0(v24, v1) | ( ~ (v25 = v24) & aDimensionOf0(v20) = v25))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (smndt0(v20) = v22) | ~ (smndt0(v19) = v21) | ~ (sdtasdt0(v21, v22) = v23) | ~ aScalar0(v20) | ~ aScalar0(v19) | sdtasdt0(v19, v20) = v23) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (sdtpldt0(v22, v21) = v23) | ~ (sdtpldt0(v19, v20) = v22) | ~ aScalar0(v21) | ~ aScalar0(v20) | ~ aScalar0(v19) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (sdtasdt0(v25, v21) = v26 & sdtasdt0(v20, v21) = v27 & sdtasdt0(v20, v19) = v25 & sdtasdt0(v19, v27) = v26 & sdtasdt0(v19, v20) = v25 & sdtpldt0(v20, v21) = v24 & sdtpldt0(v20, v19) = v22 & sdtpldt0(v19, v24) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (sdtasasdt0(v22, v21) = v20) | ~ (sdtasasdt0(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (sdtlbdtrb0(v22, v21) = v20) | ~ (sdtlbdtrb0(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (sdtasdt0(v22, v21) = v20) | ~ (sdtasdt0(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (sdtpldt0(v22, v21) = v20) | ~ (sdtpldt0(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (sziznziztdt0(v20) = v22) | ~ (sziznziztdt0(v19) = v21) | ~ aVector0(v20) | ~ aVector0(v19) | ? [v23] : ? [v24] : ((v24 = v23 & aDimensionOf0(v22) = v23 & aDimensionOf0(v21) = v23) | (aDimensionOf0(v20) = v24 & (v24 = sz00 | ( ~ (v24 = v23) & aDimensionOf0(v19) = v23))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (smndt0(v19) = v21) | ~ (sdtasdt0(v21, v20) = v22) | ~ aScalar0(v20) | ~ aScalar0(v19) | ? [v23] : ? [v24] : (smndt0(v24) = v22 & smndt0(v20) = v23 & sdtasdt0(v19, v23) = v22 & sdtasdt0(v19, v20) = v24)) & ! [v19] : ! [v20] : ! [v21] : (v21 = sz0z00 | ~ (sdtasasdt0(v19, v20) = v21) | ~ aVector0(v20) | ~ aVector0(v19) | ? [v22] : ? [v23] : (aDimensionOf0(v20) = v23 & ( ~ (v23 = sz00) | ( ~ (v22 = sz00) & aDimensionOf0(v19) = v22)))) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (sziznziztdt0(v21) = v20) | ~ (sziznziztdt0(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (aDimensionOf0(v21) = v20) | ~ (aDimensionOf0(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (smndt0(v21) = v20) | ~ (smndt0(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (sdtasdt0(v20, v20) = v21) | ~ (sdtasdt0(v19, v19) = v21) | ~ sdtlseqdt0(sz0z00, v20) | ~ sdtlseqdt0(sz0z00, v19) | ~ aScalar0(v20) | ~ aScalar0(v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (szszuzczcdt0(v21) = v20) | ~ (szszuzczcdt0(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (szszuzczcdt0(v20) = v21) | ~ (szszuzczcdt0(v19) = v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (sdtasasdt0(v19, v20) = v21) | ~ aVector0(v20) | ~ aVector0(v19) | aScalar0(v21) | ? [v22] : ? [v23] : ( ~ (v23 = v22) & aDimensionOf0(v20) = v23 & aDimensionOf0(v19) = v22)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (sdtlbdtrb0(v19, v20) = v21) | ~ aVector0(v19) | ~ aNaturalNumber0(v20) | aScalar0(v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (sdtasdt0(v19, v20) = v21) | ~ aScalar0(v20) | ~ aScalar0(v19) | aScalar0(v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (sdtpldt0(v19, v20) = v21) | ~ sdtlseqdt0(sz0z00, v20) | ~ sdtlseqdt0(sz0z00, v19) | ~ aScalar0(v20) | ~ aScalar0(v19) | sdtlseqdt0(sz0z00, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (sdtpldt0(v19, v20) = v21) | ~ sdtlseqdt0(sz0z00, v20) | ~ sdtlseqdt0(sz0z00, v19) | ~ aScalar0(v20) | ~ aScalar0(v19) | ? [v22] : (sdtasdt0(v19, v20) = v22 & sdtlseqdt0(sz0z00, v22))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (sdtpldt0(v19, v20) = v21) | ~ aScalar0(v20) | ~ aScalar0(v19) | aScalar0(v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ sdtlseqdt0(v20, v21) | ~ sdtlseqdt0(v19, v20) | ~ aScalar0(v21) | ~ aScalar0(v20) | ~ aScalar0(v19) | sdtlseqdt0(v19, v21)) & ! [v19] : ! [v20] : (v20 = v19 | ~ (sdtpldt0(sz0z00, v19) = v20) | ~ aScalar0(v19)) & ! [v19] : ! [v20] : (v20 = v19 | ~ sdtlseqdt0(v20, v19) | ~ sdtlseqdt0(v19, v20) | ~ aScalar0(v20) | ~ aScalar0(v19)) & ! [v19] : ! [v20] : (v0 = sz0z00 | ~ (sdtpldt0(sz0z00, v19) = v20) | ~ aScalar0(v19)) & ! [v19] : ! [v20] : ( ~ (sdtasasdt0(v19, v19) = v20) | ~ aVector0(v19) | sdtlseqdt0(sz0z00, v20)) & ! [v19] : ! [v20] : ( ~ (sziznziztdt0(v19) = v20) | ~ aVector0(v19) | ? [v21] : (aDimensionOf0(v19) = v21 & (v21 = sz00 | ( ! [v22] : ! [v23] : ! [v24] : ( ~ (sdtlbdtrb0(v19, v23) = v24) | ~ (aDimensionOf0(v20) = v22) | ~ aNaturalNumber0(v23) | sdtlbdtrb0(v20, v23) = v24) & ! [v22] : ! [v23] : (v22 = v20 | ~ (aDimensionOf0(v22) = v23) | ~ aVector0(v22) | ? [v24] : ? [v25] : ? [v26] : (( ~ (v26 = v25) & sdtlbdtrb0(v22, v24) = v25 & sdtlbdtrb0(v19, v24) = v26 & aNaturalNumber0(v24)) | ( ~ (v24 = v21) & szszuzczcdt0(v23) = v24))) & ! [v22] : ( ~ (aDimensionOf0(v20) = v22) | szszuzczcdt0(v22) = v21) & ! [v22] : ( ~ (aDimensionOf0(v20) = v22) | aVector0(v20)))))) & ! [v19] : ! [v20] : ( ~ (sdtlbdtrb0(xp, v19) = v20) | ~ aNaturalNumber0(v19) | sdtlbdtrb0(xs, v19) = v20) & ! [v19] : ! [v20] : ( ~ (sdtlbdtrb0(xt, v19) = v20) | ~ aNaturalNumber0(v19) | sdtlbdtrb0(xq, v19) = v20) & ! [v19] : ! [v20] : ( ~ (aDimensionOf0(v19) = v20) | ~ aVector0(v19) | aNaturalNumber0(v20)) & ! [v19] : ! [v20] : ( ~ (smndt0(v19) = v20) | ~ aScalar0(v19) | aScalar0(v20)) & ! [v19] : ! [v20] : ( ~ (sdtasdt0(v19, v19) = v20) | ~ aScalar0(v19) | sdtlseqdt0(sz0z00, v20)) & ! [v19] : ! [v20] : ( ~ (sdtpldt0(sz0z00, v19) = v20) | ~ aScalar0(v19) | ? [v21] : (smndt0(v21) = v19 & smndt0(v19) = v21 & sdtasdt0(v19, sz0z00) = sz0z00 & sdtasdt0(sz0z00, v19) = sz0z00 & sdtpldt0(v21, v19) = sz0z00 & sdtpldt0(v19, v21) = sz0z00 & sdtpldt0(v19, sz0z00) = v19)) & ! [v19] : ! [v20] : ( ~ (szszuzczcdt0(v19) = v20) | ~ aNaturalNumber0(v19) | iLess0(v19, v20)) & ! [v19] : ! [v20] : ( ~ (szszuzczcdt0(v19) = v20) | ~ aNaturalNumber0(v19) | aNaturalNumber0(v20)) & ! [v19] : ! [v20] : ( ~ aScalar0(v20) | ~ aScalar0(v19) | sdtlseqdt0(v20, v19) | sdtlseqdt0(v19, v20)) & ! [v19] : (v19 = sz00 | ~ aNaturalNumber0(v19) | ? [v20] : (szszuzczcdt0(v20) = v19 & aNaturalNumber0(v20))) & ! [v19] : ( ~ (szszuzczcdt0(v19) = sz00) | ~ aNaturalNumber0(v19)) & ! [v19] : ( ~ aScalar0(v19) | sdtlseqdt0(v19, v19))) % 95.19/64.35 | 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, all_0_16_16, all_0_17_17, all_0_18_18 yields: % 95.19/64.35 | (1) ~ (all_0_0_0 = all_0_7_7) & ~ (all_0_17_17 = sz00) & sdtasasdt0(xq, xq) = xD & sdtasasdt0(xp, xq) = xE & sdtasasdt0(xp, xp) = xC & sziznziztdt0(xt) = xq & sziznziztdt0(xs) = xp & sdtlbdtrb0(xt, all_0_17_17) = xB & sdtlbdtrb0(xs, all_0_17_17) = xA & aDimensionOf0(xq) = all_0_15_15 & aDimensionOf0(xp) = all_0_16_16 & aDimensionOf0(xt) = all_0_17_17 & aDimensionOf0(xs) = all_0_17_17 & smndt0(xN) = all_0_10_10 & smndt0(xS) = all_0_11_11 & smndt0(sz0z00) = all_0_18_18 & sdtasdt0(all_0_8_8, all_0_8_8) = all_0_7_7 & sdtasdt0(all_0_11_11, all_0_11_11) = all_0_9_9 & sdtasdt0(all_0_11_11, xR) = all_0_10_10 & sdtasdt0(xS, xS) = all_0_9_9 & sdtasdt0(xP, xP) = all_0_12_12 & sdtasdt0(xR, all_0_11_11) = all_0_10_10 & sdtasdt0(xR, xS) = xN & sdtasdt0(xR, xR) = all_0_6_6 & sdtasdt0(xF, xD) = xS & sdtasdt0(xE, xH) = xP & sdtasdt0(xE, xE) = all_0_14_14 & sdtasdt0(xC, xG) = xR & sdtasdt0(xC, xD) = all_0_13_13 & sdtasdt0(xB, xB) = xG & sdtasdt0(xA, xB) = xH & sdtasdt0(xA, xA) = xF & sdtpldt0(all_0_1_1, all_0_10_10) = all_0_0_0 & sdtpldt0(all_0_2_2, all_0_10_10) = all_0_1_1 & sdtpldt0(all_0_5_5, all_0_3_3) = all_0_7_7 & sdtpldt0(all_0_5_5, all_0_4_4) = all_0_7_7 & sdtpldt0(all_0_6_6, all_0_9_9) = all_0_2_2 & sdtpldt0(all_0_6_6, all_0_10_10) = all_0_5_5 & sdtpldt0(all_0_9_9, all_0_10_10) = all_0_3_3 & sdtpldt0(all_0_10_10, all_0_9_9) = all_0_4_4 & sdtpldt0(xR, all_0_11_11) = all_0_8_8 & szszuzczcdt0(all_0_15_15) = all_0_17_17 & szszuzczcdt0(all_0_16_16) = all_0_17_17 & aVector0(xq) & aVector0(xp) & aVector0(xt) & aVector0(xs) & sdtlseqdt0(all_0_12_12, xN) & sdtlseqdt0(all_0_14_14, all_0_13_13) & aScalar0(xN) & aScalar0(xS) & aScalar0(xP) & aScalar0(xR) & aScalar0(xH) & aScalar0(xG) & aScalar0(xF) & aScalar0(xE) & aScalar0(xD) & aScalar0(xC) & aScalar0(xB) & aScalar0(xA) & aScalar0(sz0z00) & aNaturalNumber0(sz00) & ! [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) | ~ aScalar0(v3) | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | ? [v11] : ? [v12] : (sdtasdt0(v11, v12) = v10 & sdtpldt0(v2, v3) = v12 & sdtpldt0(v0, v1) = v11)) & ! [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) | ~ aVector0(v1) | ~ aVector0(v0) | sdtasasdt0(v0, v1) = v9) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v1, v3) = v5) | ~ (sdtasdt0(v0, v2) = v4) | ~ sdtlseqdt0(v2, v3) | ~ sdtlseqdt0(v0, v1) | ~ sdtlseqdt0(sz0z00, v2) | ~ aScalar0(v3) | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | sdtlseqdt0(v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v7, v2) = v8 & sdtasdt0(v1, v2) = v9 & sdtasdt0(v0, v6) = v5 & sdtpldt0(v4, v9) = v8 & sdtpldt0(v1, v2) = v6 & sdtpldt0(v0, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtpldt0(v1, v3) = v5) | ~ (sdtpldt0(v0, v2) = v4) | ~ sdtlseqdt0(v2, v3) | ~ sdtlseqdt0(v0, v1) | ~ aScalar0(v3) | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | sdtlseqdt0(v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasasdt0(v1, v1) = v3) | ~ (sdtasasdt0(v0, v0) = v2) | ~ (sdtasdt0(v2, v3) = v4) | ~ aVector0(v1) | ~ aVector0(v0) | ? [v5] : ? [v6] : ((sdtasasdt0(v0, v1) = v5 & sdtasdt0(v5, v5) = v6 & sdtlseqdt0(v6, v4)) | (aDimensionOf0(v0) = v5 & ( ~ iLess0(v5, all_0_17_17) | ( ~ (v6 = v5) & aDimensionOf0(v1) = v6))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (smndt0(v1) = v3) | ~ (smndt0(v0) = v2) | ~ (sdtasdt0(v2, v3) = v4) | ~ aScalar0(v1) | ~ aScalar0(v0) | sdtasdt0(v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (sdtasdt0(v6, v2) = v7 & sdtasdt0(v1, v2) = v8 & sdtasdt0(v1, v0) = v6 & sdtasdt0(v0, v8) = v7 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v1, v2) = v5 & sdtpldt0(v1, v0) = v3 & sdtpldt0(v0, v5) = v4)) & ! [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 | ~ (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] : ( ~ (sziznziztdt0(v1) = v3) | ~ (sziznziztdt0(v0) = v2) | ~ aVector0(v1) | ~ aVector0(v0) | ? [v4] : ? [v5] : ((v5 = v4 & aDimensionOf0(v3) = v4 & aDimensionOf0(v2) = v4) | (aDimensionOf0(v1) = v5 & (v5 = sz00 | ( ~ (v5 = v4) & aDimensionOf0(v0) = v4))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (smndt0(v0) = v2) | ~ (sdtasdt0(v2, v1) = v3) | ~ aScalar0(v1) | ~ aScalar0(v0) | ? [v4] : ? [v5] : (smndt0(v5) = v3 & smndt0(v1) = v4 & sdtasdt0(v0, v4) = v3 & sdtasdt0(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : (v2 = sz0z00 | ~ (sdtasasdt0(v0, v1) = v2) | ~ aVector0(v1) | ~ aVector0(v0) | ? [v3] : ? [v4] : (aDimensionOf0(v1) = v4 & ( ~ (v4 = sz00) | ( ~ (v3 = sz00) & aDimensionOf0(v0) = v3)))) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sziznziztdt0(v2) = v1) | ~ (sziznziztdt0(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 | ~ (sdtasdt0(v1, v1) = v2) | ~ (sdtasdt0(v0, v0) = v2) | ~ sdtlseqdt0(sz0z00, v1) | ~ sdtlseqdt0(sz0z00, v0) | ~ aScalar0(v1) | ~ aScalar0(v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v1) = v2) | ~ (szszuzczcdt0(v0) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasasdt0(v0, v1) = v2) | ~ aVector0(v1) | ~ aVector0(v0) | aScalar0(v2) | ? [v3] : ? [v4] : ( ~ (v4 = v3) & aDimensionOf0(v1) = v4 & aDimensionOf0(v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(v0, v1) = v2) | ~ aVector0(v0) | ~ aNaturalNumber0(v1) | aScalar0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | aScalar0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ sdtlseqdt0(sz0z00, v1) | ~ sdtlseqdt0(sz0z00, v0) | ~ aScalar0(v1) | ~ aScalar0(v0) | sdtlseqdt0(sz0z00, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ sdtlseqdt0(sz0z00, v1) | ~ sdtlseqdt0(sz0z00, v0) | ~ aScalar0(v1) | ~ aScalar0(v0) | ? [v3] : (sdtasdt0(v0, v1) = v3 & sdtlseqdt0(sz0z00, v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | aScalar0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ sdtlseqdt0(v1, v2) | ~ sdtlseqdt0(v0, v1) | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | sdtlseqdt0(v0, v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtpldt0(sz0z00, v0) = v1) | ~ aScalar0(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ sdtlseqdt0(v1, v0) | ~ sdtlseqdt0(v0, v1) | ~ aScalar0(v1) | ~ aScalar0(v0)) & ! [v0] : ! [v1] : (all_0_18_18 = sz0z00 | ~ (sdtpldt0(sz0z00, v0) = v1) | ~ aScalar0(v0)) & ! [v0] : ! [v1] : ( ~ (sdtasasdt0(v0, v0) = v1) | ~ aVector0(v0) | sdtlseqdt0(sz0z00, v1)) & ! [v0] : ! [v1] : ( ~ (sziznziztdt0(v0) = v1) | ~ aVector0(v0) | ? [v2] : (aDimensionOf0(v0) = v2 & (v2 = sz00 | ( ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtlbdtrb0(v0, v4) = v5) | ~ (aDimensionOf0(v1) = v3) | ~ aNaturalNumber0(v4) | sdtlbdtrb0(v1, v4) = v5) & ! [v3] : ! [v4] : (v3 = v1 | ~ (aDimensionOf0(v3) = v4) | ~ aVector0(v3) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v7 = v6) & sdtlbdtrb0(v3, v5) = v6 & sdtlbdtrb0(v0, v5) = v7 & aNaturalNumber0(v5)) | ( ~ (v5 = v2) & szszuzczcdt0(v4) = v5))) & ! [v3] : ( ~ (aDimensionOf0(v1) = v3) | szszuzczcdt0(v3) = v2) & ! [v3] : ( ~ (aDimensionOf0(v1) = v3) | aVector0(v1)))))) & ! [v0] : ! [v1] : ( ~ (sdtlbdtrb0(xp, v0) = v1) | ~ aNaturalNumber0(v0) | sdtlbdtrb0(xs, v0) = v1) & ! [v0] : ! [v1] : ( ~ (sdtlbdtrb0(xt, v0) = v1) | ~ aNaturalNumber0(v0) | sdtlbdtrb0(xq, v0) = v1) & ! [v0] : ! [v1] : ( ~ (aDimensionOf0(v0) = v1) | ~ aVector0(v0) | aNaturalNumber0(v1)) & ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ~ aScalar0(v0) | aScalar0(v1)) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, v0) = v1) | ~ aScalar0(v0) | sdtlseqdt0(sz0z00, v1)) & ! [v0] : ! [v1] : ( ~ (sdtpldt0(sz0z00, v0) = v1) | ~ aScalar0(v0) | ? [v2] : (smndt0(v2) = v0 & smndt0(v0) = v2 & sdtasdt0(v0, sz0z00) = sz0z00 & sdtasdt0(sz0z00, v0) = sz0z00 & sdtpldt0(v2, v0) = sz0z00 & sdtpldt0(v0, v2) = sz0z00 & sdtpldt0(v0, sz0z00) = v0)) & ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ~ aNaturalNumber0(v0) | iLess0(v0, v1)) & ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ~ aNaturalNumber0(v0) | aNaturalNumber0(v1)) & ! [v0] : ! [v1] : ( ~ aScalar0(v1) | ~ aScalar0(v0) | sdtlseqdt0(v1, v0) | sdtlseqdt0(v0, v1)) & ! [v0] : (v0 = sz00 | ~ aNaturalNumber0(v0) | ? [v1] : (szszuzczcdt0(v1) = v0 & aNaturalNumber0(v1))) & ! [v0] : ( ~ (szszuzczcdt0(v0) = sz00) | ~ aNaturalNumber0(v0)) & ! [v0] : ( ~ aScalar0(v0) | sdtlseqdt0(v0, v0)) % 95.62/64.36 | % 95.62/64.36 | Applying alpha-rule on (1) yields: % 95.62/64.36 | (2) smndt0(sz0z00) = all_0_18_18 % 95.62/64.36 | (3) ~ (all_0_0_0 = all_0_7_7) % 95.62/64.36 | (4) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | aScalar0(v2)) % 95.62/64.37 | (5) sdtlbdtrb0(xt, all_0_17_17) = xB % 95.62/64.37 | (6) aVector0(xs) % 95.62/64.37 | (7) ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ~ aNaturalNumber0(v0) | iLess0(v0, v1)) % 95.62/64.37 | (8) aScalar0(xA) % 95.62/64.37 | (9) aScalar0(xF) % 95.62/64.37 | (10) sdtpldt0(all_0_9_9, all_0_10_10) = all_0_3_3 % 95.62/64.37 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtpldt0(v1, v3) = v5) | ~ (sdtpldt0(v0, v2) = v4) | ~ sdtlseqdt0(v2, v3) | ~ sdtlseqdt0(v0, v1) | ~ aScalar0(v3) | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | sdtlseqdt0(v4, v5)) % 95.62/64.37 | (12) ! [v0] : ! [v1] : ( ~ (aDimensionOf0(v0) = v1) | ~ aVector0(v0) | aNaturalNumber0(v1)) % 95.62/64.37 | (13) smndt0(xS) = all_0_11_11 % 95.62/64.37 | (14) sdtasdt0(xA, xB) = xH % 95.62/64.37 | (15) sdtasdt0(xF, xD) = xS % 95.62/64.37 | (16) sdtasdt0(xP, xP) = all_0_12_12 % 95.62/64.37 | (17) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sdtasdt0(v1, v1) = v2) | ~ (sdtasdt0(v0, v0) = v2) | ~ sdtlseqdt0(sz0z00, v1) | ~ sdtlseqdt0(sz0z00, v0) | ~ aScalar0(v1) | ~ aScalar0(v0)) % 95.62/64.37 | (18) aVector0(xt) % 95.62/64.37 | (19) aDimensionOf0(xq) = all_0_15_15 % 95.62/64.37 | (20) sdtasdt0(xE, xE) = all_0_14_14 % 95.62/64.37 | (21) ! [v0] : ( ~ aScalar0(v0) | sdtlseqdt0(v0, v0)) % 95.62/64.37 | (22) ! [v0] : ! [v1] : (all_0_18_18 = sz0z00 | ~ (sdtpldt0(sz0z00, v0) = v1) | ~ aScalar0(v0)) % 95.62/64.37 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasasdt0(v1, v1) = v3) | ~ (sdtasasdt0(v0, v0) = v2) | ~ (sdtasdt0(v2, v3) = v4) | ~ aVector0(v1) | ~ aVector0(v0) | ? [v5] : ? [v6] : ((sdtasasdt0(v0, v1) = v5 & sdtasdt0(v5, v5) = v6 & sdtlseqdt0(v6, v4)) | (aDimensionOf0(v0) = v5 & ( ~ iLess0(v5, all_0_17_17) | ( ~ (v6 = v5) & aDimensionOf0(v1) = v6))))) % 95.62/64.37 | (24) aDimensionOf0(xt) = all_0_17_17 % 95.62/64.37 | (25) sdtasdt0(xB, xB) = xG % 95.62/64.37 | (26) aScalar0(xR) % 95.62/64.37 | (27) sdtpldt0(all_0_5_5, all_0_4_4) = all_0_7_7 % 95.62/64.37 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) % 95.62/64.37 | (29) sdtpldt0(all_0_5_5, all_0_3_3) = all_0_7_7 % 95.62/64.37 | (30) ! [v0] : ! [v1] : ! [v2] : (v2 = sz0z00 | ~ (sdtasasdt0(v0, v1) = v2) | ~ aVector0(v1) | ~ aVector0(v0) | ? [v3] : ? [v4] : (aDimensionOf0(v1) = v4 & ( ~ (v4 = sz00) | ( ~ (v3 = sz00) & aDimensionOf0(v0) = v3)))) % 95.62/64.37 | (31) sdtasdt0(xC, xD) = all_0_13_13 % 95.62/64.37 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (sdtasdt0(v6, v2) = v7 & sdtasdt0(v1, v2) = v8 & sdtasdt0(v1, v0) = v6 & sdtasdt0(v0, v8) = v7 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v1, v2) = v5 & sdtpldt0(v1, v0) = v3 & sdtpldt0(v0, v5) = v4)) % 95.62/64.37 | (33) ! [v0] : ! [v1] : ( ~ (sdtpldt0(sz0z00, v0) = v1) | ~ aScalar0(v0) | ? [v2] : (smndt0(v2) = v0 & smndt0(v0) = v2 & sdtasdt0(v0, sz0z00) = sz0z00 & sdtasdt0(sz0z00, v0) = sz0z00 & sdtpldt0(v2, v0) = sz0z00 & sdtpldt0(v0, v2) = sz0z00 & sdtpldt0(v0, sz0z00) = v0)) % 95.62/64.37 | (34) ! [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) | ~ aScalar0(v3) | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | ? [v11] : ? [v12] : (sdtasdt0(v11, v12) = v10 & sdtpldt0(v2, v3) = v12 & sdtpldt0(v0, v1) = v11)) % 95.62/64.37 | (35) sdtlseqdt0(all_0_12_12, xN) % 95.62/64.37 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (smndt0(v1) = v3) | ~ (smndt0(v0) = v2) | ~ (sdtasdt0(v2, v3) = v4) | ~ aScalar0(v1) | ~ aScalar0(v0) | sdtasdt0(v0, v1) = v4) % 95.62/64.37 | (37) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v1) = v2) | ~ (szszuzczcdt0(v0) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) % 95.62/64.37 | (38) aNaturalNumber0(sz00) % 95.62/64.37 | (39) aScalar0(xE) % 95.62/64.37 | (40) sdtasdt0(xA, xA) = xF % 95.62/64.37 | (41) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0)) % 95.62/64.37 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (smndt0(v0) = v2) | ~ (sdtasdt0(v2, v1) = v3) | ~ aScalar0(v1) | ~ aScalar0(v0) | ? [v4] : ? [v5] : (smndt0(v5) = v3 & smndt0(v1) = v4 & sdtasdt0(v0, v4) = v3 & sdtasdt0(v0, v1) = v5)) % 95.62/64.37 | (43) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ sdtlseqdt0(sz0z00, v1) | ~ sdtlseqdt0(sz0z00, v0) | ~ aScalar0(v1) | ~ aScalar0(v0) | ? [v3] : (sdtasdt0(v0, v1) = v3 & sdtlseqdt0(sz0z00, v3))) % 95.62/64.37 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) % 95.62/64.38 | (45) aScalar0(sz0z00) % 95.62/64.38 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1) | ~ (sdtlbdtrb0(v3, v2) = v0)) % 95.62/64.38 | (47) sziznziztdt0(xs) = xp % 95.62/64.38 | (48) sdtlseqdt0(all_0_14_14, all_0_13_13) % 95.62/64.38 | (49) ~ (all_0_17_17 = sz00) % 95.62/64.38 | (50) aScalar0(xC) % 95.62/64.38 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0)) % 95.62/64.38 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v7, v2) = v8 & sdtasdt0(v1, v2) = v9 & sdtasdt0(v0, v6) = v5 & sdtpldt0(v4, v9) = v8 & sdtpldt0(v1, v2) = v6 & sdtpldt0(v0, v1) = v7)) % 95.62/64.38 | (53) aDimensionOf0(xs) = all_0_17_17 % 95.62/64.38 | (54) smndt0(xN) = all_0_10_10 % 95.62/64.38 | (55) sdtasasdt0(xp, xp) = xC % 95.62/64.38 | (56) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = v0)) % 95.62/64.38 | (57) ! [v0] : ! [v1] : ( ~ (sdtasasdt0(v0, v0) = v1) | ~ aVector0(v0) | sdtlseqdt0(sz0z00, v1)) % 95.62/64.38 | (58) ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ~ aNaturalNumber0(v0) | aNaturalNumber0(v1)) % 95.62/64.38 | (59) sdtpldt0(all_0_1_1, all_0_10_10) = all_0_0_0 % 95.62/64.38 | (60) sdtpldt0(xR, all_0_11_11) = all_0_8_8 % 95.62/64.38 | (61) ! [v0] : ! [v1] : ! [v2] : ( ~ sdtlseqdt0(v1, v2) | ~ sdtlseqdt0(v0, v1) | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | sdtlseqdt0(v0, v2)) % 95.62/64.38 | (62) ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ~ aScalar0(v0) | aScalar0(v1)) % 95.62/64.38 | (63) szszuzczcdt0(all_0_15_15) = all_0_17_17 % 95.62/64.38 | (64) sdtasdt0(xS, xS) = all_0_9_9 % 95.62/64.38 | (65) sdtasdt0(xR, all_0_11_11) = all_0_10_10 % 95.62/64.38 | (66) sdtpldt0(all_0_6_6, all_0_10_10) = all_0_5_5 % 95.62/64.38 | (67) szszuzczcdt0(all_0_16_16) = all_0_17_17 % 95.62/64.38 | (68) sdtasasdt0(xp, xq) = xE % 95.62/64.38 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v1, v3) = v5) | ~ (sdtasdt0(v0, v2) = v4) | ~ sdtlseqdt0(v2, v3) | ~ sdtlseqdt0(v0, v1) | ~ sdtlseqdt0(sz0z00, v2) | ~ aScalar0(v3) | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | sdtlseqdt0(v4, v5)) % 95.62/64.38 | (70) sdtasasdt0(xq, xq) = xD % 95.62/64.38 | (71) ! [v0] : ! [v1] : ( ~ (sdtlbdtrb0(xt, v0) = v1) | ~ aNaturalNumber0(v0) | sdtlbdtrb0(xq, v0) = v1) % 95.62/64.38 | (72) aScalar0(xS) % 95.62/64.38 | (73) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aDimensionOf0(v2) = v1) | ~ (aDimensionOf0(v2) = v0)) % 95.62/64.38 | (74) ! [v0] : ! [v1] : ( ~ (sziznziztdt0(v0) = v1) | ~ aVector0(v0) | ? [v2] : (aDimensionOf0(v0) = v2 & (v2 = sz00 | ( ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtlbdtrb0(v0, v4) = v5) | ~ (aDimensionOf0(v1) = v3) | ~ aNaturalNumber0(v4) | sdtlbdtrb0(v1, v4) = v5) & ! [v3] : ! [v4] : (v3 = v1 | ~ (aDimensionOf0(v3) = v4) | ~ aVector0(v3) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v7 = v6) & sdtlbdtrb0(v3, v5) = v6 & sdtlbdtrb0(v0, v5) = v7 & aNaturalNumber0(v5)) | ( ~ (v5 = v2) & szszuzczcdt0(v4) = v5))) & ! [v3] : ( ~ (aDimensionOf0(v1) = v3) | szszuzczcdt0(v3) = v2) & ! [v3] : ( ~ (aDimensionOf0(v1) = v3) | aVector0(v1)))))) % 95.62/64.38 | (75) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ sdtlseqdt0(sz0z00, v1) | ~ sdtlseqdt0(sz0z00, v0) | ~ aScalar0(v1) | ~ aScalar0(v0) | sdtlseqdt0(sz0z00, v2)) % 95.62/64.38 | (76) sdtlbdtrb0(xs, all_0_17_17) = xA % 95.62/64.38 | (77) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasasdt0(v0, v1) = v2) | ~ aVector0(v1) | ~ aVector0(v0) | aScalar0(v2) | ? [v3] : ? [v4] : ( ~ (v4 = v3) & aDimensionOf0(v1) = v4 & aDimensionOf0(v0) = v3)) % 95.62/64.38 | (78) ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtpldt0(sz0z00, v0) = v1) | ~ aScalar0(v0)) % 95.62/64.38 | (79) sdtasdt0(xR, xR) = all_0_6_6 % 95.62/64.38 | (80) aScalar0(xB) % 95.62/64.38 | (81) ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, v0) = v1) | ~ aScalar0(v0) | sdtlseqdt0(sz0z00, v1)) % 95.62/64.38 | (82) aVector0(xq) % 95.62/64.38 | (83) aScalar0(xD) % 95.62/64.38 | (84) aScalar0(xH) % 95.62/64.38 | (85) sdtasdt0(all_0_8_8, all_0_8_8) = all_0_7_7 % 95.62/64.38 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sziznziztdt0(v1) = v3) | ~ (sziznziztdt0(v0) = v2) | ~ aVector0(v1) | ~ aVector0(v0) | ? [v4] : ? [v5] : ((v5 = v4 & aDimensionOf0(v3) = v4 & aDimensionOf0(v2) = v4) | (aDimensionOf0(v1) = v5 & (v5 = sz00 | ( ~ (v5 = v4) & aDimensionOf0(v0) = v4))))) % 95.62/64.38 | (87) sdtpldt0(all_0_2_2, all_0_10_10) = all_0_1_1 % 95.62/64.38 | (88) sdtasdt0(all_0_11_11, all_0_11_11) = all_0_9_9 % 95.62/64.38 | (89) aScalar0(xN) % 95.62/64.39 | (90) ! [v0] : ( ~ (szszuzczcdt0(v0) = sz00) | ~ aNaturalNumber0(v0)) % 95.62/64.39 | (91) sziznziztdt0(xt) = xq % 95.62/64.39 | (92) sdtasdt0(all_0_11_11, xR) = all_0_10_10 % 95.62/64.39 | (93) ! [v0] : ! [v1] : ( ~ (sdtlbdtrb0(xp, v0) = v1) | ~ aNaturalNumber0(v0) | sdtlbdtrb0(xs, v0) = v1) % 95.62/64.39 | (94) aScalar0(xP) % 95.62/64.39 | (95) sdtasdt0(xR, xS) = xN % 95.62/64.39 | (96) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(v0, v1) = v2) | ~ aVector0(v0) | ~ aNaturalNumber0(v1) | aScalar0(v2)) % 95.62/64.39 | (97) ! [v0] : ! [v1] : ( ~ aScalar0(v1) | ~ aScalar0(v0) | sdtlseqdt0(v1, v0) | sdtlseqdt0(v0, v1)) % 95.62/64.39 | (98) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sziznziztdt0(v2) = v1) | ~ (sziznziztdt0(v2) = v0)) % 95.62/64.39 | (99) aVector0(xp) % 95.62/64.39 | (100) sdtpldt0(all_0_6_6, all_0_9_9) = all_0_2_2 % 95.62/64.39 | (101) aDimensionOf0(xp) = all_0_16_16 % 95.62/64.39 | (102) ! [v0] : ! [v1] : (v1 = v0 | ~ sdtlseqdt0(v1, v0) | ~ sdtlseqdt0(v0, v1) | ~ aScalar0(v1) | ~ aScalar0(v0)) % 95.62/64.39 | (103) sdtasdt0(xC, xG) = xR % 95.62/64.39 | (104) sdtasdt0(xE, xH) = xP % 95.62/64.39 | (105) ! [v0] : (v0 = sz00 | ~ aNaturalNumber0(v0) | ? [v1] : (szszuzczcdt0(v1) = v0 & aNaturalNumber0(v1))) % 95.62/64.39 | (106) sdtpldt0(all_0_10_10, all_0_9_9) = all_0_4_4 % 95.62/64.39 | (107) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | aScalar0(v2)) % 95.62/64.39 | (108) aScalar0(xG) % 95.62/64.39 | (109) ! [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) | ~ aVector0(v1) | ~ aVector0(v0) | sdtasasdt0(v0, v1) = v9) % 95.62/64.39 | % 95.62/64.39 | Instantiating formula (62) with all_0_10_10, xN and discharging atoms smndt0(xN) = all_0_10_10, aScalar0(xN), yields: % 95.62/64.39 | (110) aScalar0(all_0_10_10) % 95.62/64.39 | % 95.62/64.39 | Instantiating formula (62) with all_0_11_11, xS and discharging atoms smndt0(xS) = all_0_11_11, aScalar0(xS), yields: % 95.62/64.39 | (111) aScalar0(all_0_11_11) % 95.62/64.39 | % 95.62/64.39 | Instantiating formula (4) with all_0_9_9, xS, xS and discharging atoms sdtasdt0(xS, xS) = all_0_9_9, aScalar0(xS), yields: % 95.62/64.39 | (112) aScalar0(all_0_9_9) % 95.62/64.39 | % 95.62/64.39 | Instantiating formula (4) with all_0_6_6, xR, xR and discharging atoms sdtasdt0(xR, xR) = all_0_6_6, aScalar0(xR), yields: % 95.62/64.39 | (113) aScalar0(all_0_6_6) % 95.62/64.39 | % 95.62/64.39 | Instantiating formula (52) with all_0_5_5, all_0_10_10, all_0_6_6, all_0_11_11, xR, xR and discharging atoms sdtasdt0(xR, all_0_11_11) = all_0_10_10, sdtasdt0(xR, xR) = all_0_6_6, sdtpldt0(all_0_6_6, all_0_10_10) = all_0_5_5, aScalar0(all_0_11_11), aScalar0(xR), yields: % 95.62/64.39 | (114) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(v1, all_0_11_11) = v2 & sdtasdt0(xR, v0) = all_0_5_5 & sdtasdt0(xR, all_0_11_11) = v3 & sdtpldt0(all_0_10_10, v3) = v2 & sdtpldt0(xR, all_0_11_11) = v0 & sdtpldt0(xR, xR) = v1) % 95.62/64.39 | % 95.62/64.39 | Instantiating formula (107) with all_0_2_2, all_0_9_9, all_0_6_6 and discharging atoms sdtpldt0(all_0_6_6, all_0_9_9) = all_0_2_2, aScalar0(all_0_6_6), aScalar0(all_0_9_9), yields: % 95.62/64.39 | (115) aScalar0(all_0_2_2) % 95.62/64.39 | % 95.62/64.39 | Instantiating formula (107) with all_0_3_3, all_0_10_10, all_0_9_9 and discharging atoms sdtpldt0(all_0_9_9, all_0_10_10) = all_0_3_3, aScalar0(all_0_9_9), aScalar0(all_0_10_10), yields: % 95.62/64.39 | (116) aScalar0(all_0_3_3) % 95.62/64.39 | % 95.62/64.39 | Instantiating formula (107) with all_0_4_4, all_0_9_9, all_0_10_10 and discharging atoms sdtpldt0(all_0_10_10, all_0_9_9) = all_0_4_4, aScalar0(all_0_9_9), aScalar0(all_0_10_10), yields: % 95.62/64.39 | (117) aScalar0(all_0_4_4) % 95.62/64.39 | % 95.62/64.39 | Instantiating formula (32) with all_0_1_1, all_0_2_2, all_0_10_10, all_0_9_9, all_0_6_6 and discharging atoms sdtpldt0(all_0_2_2, all_0_10_10) = all_0_1_1, sdtpldt0(all_0_6_6, all_0_9_9) = all_0_2_2, aScalar0(all_0_6_6), aScalar0(all_0_9_9), aScalar0(all_0_10_10), yields: % 95.62/64.39 | (118) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(v1, all_0_10_10) = v2 & sdtasdt0(all_0_6_6, v3) = v2 & sdtasdt0(all_0_6_6, all_0_9_9) = v1 & sdtasdt0(all_0_9_9, all_0_6_6) = v1 & sdtasdt0(all_0_9_9, all_0_10_10) = v3 & sdtpldt0(all_0_6_6, v0) = all_0_1_1 & sdtpldt0(all_0_9_9, all_0_6_6) = all_0_2_2 & sdtpldt0(all_0_9_9, all_0_10_10) = v0) % 95.62/64.39 | % 95.62/64.39 | Instantiating formula (52) with all_0_3_3, all_0_10_10, all_0_9_9, xR, all_0_11_11, all_0_11_11 and discharging atoms sdtasdt0(all_0_11_11, all_0_11_11) = all_0_9_9, sdtasdt0(all_0_11_11, xR) = all_0_10_10, sdtpldt0(all_0_9_9, all_0_10_10) = all_0_3_3, aScalar0(all_0_11_11), aScalar0(xR), yields: % 95.62/64.39 | (119) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(v1, xR) = v2 & sdtasdt0(all_0_11_11, v0) = all_0_3_3 & sdtasdt0(all_0_11_11, xR) = v3 & sdtpldt0(all_0_10_10, v3) = v2 & sdtpldt0(all_0_11_11, all_0_11_11) = v1 & sdtpldt0(all_0_11_11, xR) = v0) % 95.62/64.39 | % 95.62/64.39 | Instantiating (119) with all_50_0_29, all_50_1_30, all_50_2_31, all_50_3_32 yields: % 95.62/64.39 | (120) sdtasdt0(all_50_2_31, xR) = all_50_1_30 & sdtasdt0(all_0_11_11, all_50_3_32) = all_0_3_3 & sdtasdt0(all_0_11_11, xR) = all_50_0_29 & sdtpldt0(all_0_10_10, all_50_0_29) = all_50_1_30 & sdtpldt0(all_0_11_11, all_0_11_11) = all_50_2_31 & sdtpldt0(all_0_11_11, xR) = all_50_3_32 % 95.62/64.39 | % 95.62/64.39 | Applying alpha-rule on (120) yields: % 95.62/64.39 | (121) sdtasdt0(all_0_11_11, xR) = all_50_0_29 % 95.62/64.39 | (122) sdtpldt0(all_0_11_11, all_0_11_11) = all_50_2_31 % 95.62/64.39 | (123) sdtpldt0(all_0_11_11, xR) = all_50_3_32 % 95.62/64.39 | (124) sdtpldt0(all_0_10_10, all_50_0_29) = all_50_1_30 % 95.62/64.40 | (125) sdtasdt0(all_0_11_11, all_50_3_32) = all_0_3_3 % 95.62/64.40 | (126) sdtasdt0(all_50_2_31, xR) = all_50_1_30 % 95.62/64.40 | % 95.62/64.40 | Instantiating (118) with all_54_0_37, all_54_1_38, all_54_2_39, all_54_3_40 yields: % 95.62/64.40 | (127) sdtasdt0(all_54_2_39, all_0_10_10) = all_54_1_38 & sdtasdt0(all_0_6_6, all_54_0_37) = all_54_1_38 & sdtasdt0(all_0_6_6, all_0_9_9) = all_54_2_39 & sdtasdt0(all_0_9_9, all_0_6_6) = all_54_2_39 & sdtasdt0(all_0_9_9, all_0_10_10) = all_54_0_37 & sdtpldt0(all_0_6_6, all_54_3_40) = all_0_1_1 & sdtpldt0(all_0_9_9, all_0_6_6) = all_0_2_2 & sdtpldt0(all_0_9_9, all_0_10_10) = all_54_3_40 % 95.62/64.40 | % 95.62/64.40 | Applying alpha-rule on (127) yields: % 95.62/64.40 | (128) sdtpldt0(all_0_9_9, all_0_6_6) = all_0_2_2 % 95.62/64.40 | (129) sdtpldt0(all_0_6_6, all_54_3_40) = all_0_1_1 % 95.62/64.40 | (130) sdtasdt0(all_0_6_6, all_54_0_37) = all_54_1_38 % 95.62/64.40 | (131) sdtasdt0(all_0_9_9, all_0_6_6) = all_54_2_39 % 95.62/64.40 | (132) sdtasdt0(all_0_9_9, all_0_10_10) = all_54_0_37 % 95.62/64.40 | (133) sdtasdt0(all_54_2_39, all_0_10_10) = all_54_1_38 % 95.62/64.40 | (134) sdtasdt0(all_0_6_6, all_0_9_9) = all_54_2_39 % 95.62/64.40 | (135) sdtpldt0(all_0_9_9, all_0_10_10) = all_54_3_40 % 95.62/64.40 | % 95.62/64.40 | Instantiating (114) with all_58_0_43, all_58_1_44, all_58_2_45, all_58_3_46 yields: % 95.62/64.40 | (136) sdtasdt0(all_58_2_45, all_0_11_11) = all_58_1_44 & sdtasdt0(xR, all_58_3_46) = all_0_5_5 & sdtasdt0(xR, all_0_11_11) = all_58_0_43 & sdtpldt0(all_0_10_10, all_58_0_43) = all_58_1_44 & sdtpldt0(xR, all_0_11_11) = all_58_3_46 & sdtpldt0(xR, xR) = all_58_2_45 % 95.62/64.40 | % 95.62/64.40 | Applying alpha-rule on (136) yields: % 95.62/64.40 | (137) sdtpldt0(all_0_10_10, all_58_0_43) = all_58_1_44 % 95.62/64.40 | (138) sdtasdt0(all_58_2_45, all_0_11_11) = all_58_1_44 % 95.62/64.40 | (139) sdtasdt0(xR, all_0_11_11) = all_58_0_43 % 95.62/64.40 | (140) sdtasdt0(xR, all_58_3_46) = all_0_5_5 % 95.62/64.40 | (141) sdtpldt0(xR, all_0_11_11) = all_58_3_46 % 95.62/64.40 | (142) sdtpldt0(xR, xR) = all_58_2_45 % 95.62/64.40 | % 95.62/64.40 | Instantiating formula (28) with all_0_11_11, xR, all_50_0_29, all_0_10_10 and discharging atoms sdtasdt0(all_0_11_11, xR) = all_50_0_29, sdtasdt0(all_0_11_11, xR) = all_0_10_10, yields: % 95.62/64.40 | (143) all_50_0_29 = all_0_10_10 % 95.62/64.40 | % 95.62/64.40 | Instantiating formula (28) with xR, all_0_11_11, all_58_0_43, all_0_10_10 and discharging atoms sdtasdt0(xR, all_0_11_11) = all_58_0_43, sdtasdt0(xR, all_0_11_11) = all_0_10_10, yields: % 95.62/64.40 | (144) all_58_0_43 = all_0_10_10 % 95.62/64.40 | % 95.62/64.40 | Instantiating formula (44) with all_0_9_9, all_0_10_10, all_54_3_40, all_0_3_3 and discharging atoms sdtpldt0(all_0_9_9, all_0_10_10) = all_54_3_40, sdtpldt0(all_0_9_9, all_0_10_10) = all_0_3_3, yields: % 95.62/64.40 | (145) all_54_3_40 = all_0_3_3 % 95.62/64.40 | % 95.62/64.40 | Instantiating formula (44) with all_0_10_10, all_50_0_29, all_50_1_30, all_58_1_44 and discharging atoms sdtpldt0(all_0_10_10, all_50_0_29) = all_50_1_30, yields: % 95.62/64.40 | (146) all_58_1_44 = all_50_1_30 | ~ (sdtpldt0(all_0_10_10, all_50_0_29) = all_58_1_44) % 95.62/64.40 | % 95.62/64.40 | From (143) and (121) follows: % 95.62/64.40 | (92) sdtasdt0(all_0_11_11, xR) = all_0_10_10 % 95.62/64.40 | % 95.62/64.40 | From (145) and (129) follows: % 95.62/64.40 | (148) sdtpldt0(all_0_6_6, all_0_3_3) = all_0_1_1 % 95.62/64.40 | % 95.62/64.40 | From (144) and (137) follows: % 95.62/64.40 | (149) sdtpldt0(all_0_10_10, all_0_10_10) = all_58_1_44 % 95.62/64.40 | % 95.62/64.40 +-Applying beta-rule and splitting (146), into two cases. % 95.62/64.40 |-Branch one: % 95.62/64.40 | (150) ~ (sdtpldt0(all_0_10_10, all_50_0_29) = all_58_1_44) % 95.62/64.40 | % 95.62/64.40 | From (143) and (150) follows: % 95.62/64.40 | (151) ~ (sdtpldt0(all_0_10_10, all_0_10_10) = all_58_1_44) % 95.62/64.40 | % 95.62/64.40 | Using (149) and (151) yields: % 95.62/64.40 | (152) $false % 95.62/64.40 | % 95.62/64.40 |-The branch is then unsatisfiable % 95.62/64.40 |-Branch two: % 95.62/64.40 | (153) sdtpldt0(all_0_10_10, all_50_0_29) = all_58_1_44 % 95.62/64.40 | (154) all_58_1_44 = all_50_1_30 % 95.62/64.40 | % 95.62/64.40 | From (154) and (149) follows: % 95.62/64.40 | (155) sdtpldt0(all_0_10_10, all_0_10_10) = all_50_1_30 % 95.62/64.40 | % 95.62/64.40 | Instantiating formula (52) with all_50_1_30, all_0_10_10, all_0_10_10, xR, xR, all_0_11_11 and discharging atoms sdtasdt0(all_0_11_11, xR) = all_0_10_10, sdtpldt0(all_0_10_10, all_0_10_10) = all_50_1_30, aScalar0(all_0_11_11), aScalar0(xR), yields: % 95.62/64.40 | (156) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(v1, xR) = v2 & sdtasdt0(all_0_11_11, v0) = all_50_1_30 & sdtasdt0(xR, xR) = v3 & sdtpldt0(all_0_10_10, v3) = v2 & sdtpldt0(all_0_11_11, xR) = v1 & sdtpldt0(xR, xR) = v0) % 95.62/64.40 | % 95.62/64.40 | Instantiating formula (32) with all_0_0_0, all_0_1_1, all_0_10_10, all_0_10_10, all_0_2_2 and discharging atoms sdtpldt0(all_0_1_1, all_0_10_10) = all_0_0_0, sdtpldt0(all_0_2_2, all_0_10_10) = all_0_1_1, aScalar0(all_0_2_2), aScalar0(all_0_10_10), yields: % 95.62/64.40 | (157) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(v1, all_0_10_10) = v2 & sdtasdt0(all_0_2_2, v3) = v2 & sdtasdt0(all_0_2_2, all_0_10_10) = v1 & sdtasdt0(all_0_10_10, all_0_2_2) = v1 & sdtasdt0(all_0_10_10, all_0_10_10) = v3 & sdtpldt0(all_0_2_2, v0) = all_0_0_0 & sdtpldt0(all_0_10_10, all_0_2_2) = all_0_1_1 & sdtpldt0(all_0_10_10, all_0_10_10) = v0) % 95.62/64.40 | % 95.62/64.40 | Instantiating formula (32) with all_0_0_0, all_0_1_1, all_0_10_10, all_0_3_3, all_0_6_6 and discharging atoms sdtpldt0(all_0_1_1, all_0_10_10) = all_0_0_0, sdtpldt0(all_0_6_6, all_0_3_3) = all_0_1_1, aScalar0(all_0_3_3), aScalar0(all_0_6_6), aScalar0(all_0_10_10), yields: % 95.62/64.40 | (158) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(v1, all_0_10_10) = v2 & sdtasdt0(all_0_3_3, all_0_6_6) = v1 & sdtasdt0(all_0_3_3, all_0_10_10) = v3 & sdtasdt0(all_0_6_6, v3) = v2 & sdtasdt0(all_0_6_6, all_0_3_3) = v1 & sdtpldt0(all_0_3_3, all_0_6_6) = all_0_1_1 & sdtpldt0(all_0_3_3, all_0_10_10) = v0 & sdtpldt0(all_0_6_6, v0) = all_0_0_0) % 95.62/64.40 | % 95.62/64.40 | Instantiating formula (32) with all_0_7_7, all_0_5_5, all_0_4_4, all_0_10_10, all_0_6_6 and discharging atoms sdtpldt0(all_0_5_5, all_0_4_4) = all_0_7_7, sdtpldt0(all_0_6_6, all_0_10_10) = all_0_5_5, aScalar0(all_0_4_4), aScalar0(all_0_6_6), aScalar0(all_0_10_10), yields: % 95.62/64.40 | (159) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(v1, all_0_4_4) = v2 & sdtasdt0(all_0_6_6, v3) = v2 & sdtasdt0(all_0_6_6, all_0_10_10) = v1 & sdtasdt0(all_0_10_10, all_0_4_4) = v3 & sdtasdt0(all_0_10_10, all_0_6_6) = v1 & sdtpldt0(all_0_6_6, v0) = all_0_7_7 & sdtpldt0(all_0_10_10, all_0_4_4) = v0 & sdtpldt0(all_0_10_10, all_0_6_6) = all_0_5_5) % 95.62/64.41 | % 95.62/64.41 | Instantiating (158) with all_95_0_53, all_95_1_54, all_95_2_55, all_95_3_56 yields: % 95.62/64.41 | (160) sdtasdt0(all_95_2_55, all_0_10_10) = all_95_1_54 & sdtasdt0(all_0_3_3, all_0_6_6) = all_95_2_55 & sdtasdt0(all_0_3_3, all_0_10_10) = all_95_0_53 & sdtasdt0(all_0_6_6, all_95_0_53) = all_95_1_54 & sdtasdt0(all_0_6_6, all_0_3_3) = all_95_2_55 & sdtpldt0(all_0_3_3, all_0_6_6) = all_0_1_1 & sdtpldt0(all_0_3_3, all_0_10_10) = all_95_3_56 & sdtpldt0(all_0_6_6, all_95_3_56) = all_0_0_0 % 95.62/64.41 | % 95.62/64.41 | Applying alpha-rule on (160) yields: % 95.62/64.41 | (161) sdtasdt0(all_0_6_6, all_95_0_53) = all_95_1_54 % 95.62/64.41 | (162) sdtasdt0(all_0_3_3, all_0_10_10) = all_95_0_53 % 95.62/64.41 | (163) sdtpldt0(all_0_3_3, all_0_6_6) = all_0_1_1 % 95.62/64.41 | (164) sdtasdt0(all_0_6_6, all_0_3_3) = all_95_2_55 % 95.62/64.41 | (165) sdtasdt0(all_0_3_3, all_0_6_6) = all_95_2_55 % 95.62/64.41 | (166) sdtpldt0(all_0_3_3, all_0_10_10) = all_95_3_56 % 95.62/64.41 | (167) sdtpldt0(all_0_6_6, all_95_3_56) = all_0_0_0 % 95.62/64.41 | (168) sdtasdt0(all_95_2_55, all_0_10_10) = all_95_1_54 % 95.62/64.41 | % 95.62/64.41 | Instantiating (157) with all_97_0_57, all_97_1_58, all_97_2_59, all_97_3_60 yields: % 95.62/64.41 | (169) sdtasdt0(all_97_2_59, all_0_10_10) = all_97_1_58 & sdtasdt0(all_0_2_2, all_97_0_57) = all_97_1_58 & sdtasdt0(all_0_2_2, all_0_10_10) = all_97_2_59 & sdtasdt0(all_0_10_10, all_0_2_2) = all_97_2_59 & sdtasdt0(all_0_10_10, all_0_10_10) = all_97_0_57 & sdtpldt0(all_0_2_2, all_97_3_60) = all_0_0_0 & sdtpldt0(all_0_10_10, all_0_2_2) = all_0_1_1 & sdtpldt0(all_0_10_10, all_0_10_10) = all_97_3_60 % 95.62/64.41 | % 95.62/64.41 | Applying alpha-rule on (169) yields: % 95.62/64.41 | (170) sdtasdt0(all_0_10_10, all_0_10_10) = all_97_0_57 % 95.83/64.41 | (171) sdtasdt0(all_0_2_2, all_97_0_57) = all_97_1_58 % 95.83/64.41 | (172) sdtpldt0(all_0_2_2, all_97_3_60) = all_0_0_0 % 95.83/64.41 | (173) sdtasdt0(all_0_10_10, all_0_2_2) = all_97_2_59 % 95.83/64.41 | (174) sdtasdt0(all_97_2_59, all_0_10_10) = all_97_1_58 % 95.83/64.41 | (175) sdtasdt0(all_0_2_2, all_0_10_10) = all_97_2_59 % 95.83/64.41 | (176) sdtpldt0(all_0_10_10, all_0_10_10) = all_97_3_60 % 95.83/64.41 | (177) sdtpldt0(all_0_10_10, all_0_2_2) = all_0_1_1 % 95.83/64.41 | % 95.83/64.41 | Instantiating (159) with all_99_0_61, all_99_1_62, all_99_2_63, all_99_3_64 yields: % 95.83/64.41 | (178) sdtasdt0(all_99_2_63, all_0_4_4) = all_99_1_62 & sdtasdt0(all_0_6_6, all_99_0_61) = all_99_1_62 & sdtasdt0(all_0_6_6, all_0_10_10) = all_99_2_63 & sdtasdt0(all_0_10_10, all_0_4_4) = all_99_0_61 & sdtasdt0(all_0_10_10, all_0_6_6) = all_99_2_63 & sdtpldt0(all_0_6_6, all_99_3_64) = all_0_7_7 & sdtpldt0(all_0_10_10, all_0_4_4) = all_99_3_64 & sdtpldt0(all_0_10_10, all_0_6_6) = all_0_5_5 % 95.83/64.41 | % 95.83/64.41 | Applying alpha-rule on (178) yields: % 95.83/64.41 | (179) sdtpldt0(all_0_6_6, all_99_3_64) = all_0_7_7 % 95.83/64.41 | (180) sdtasdt0(all_0_6_6, all_0_10_10) = all_99_2_63 % 95.83/64.41 | (181) sdtasdt0(all_0_10_10, all_0_4_4) = all_99_0_61 % 95.83/64.41 | (182) sdtasdt0(all_99_2_63, all_0_4_4) = all_99_1_62 % 95.83/64.41 | (183) sdtasdt0(all_0_6_6, all_99_0_61) = all_99_1_62 % 95.83/64.41 | (184) sdtasdt0(all_0_10_10, all_0_6_6) = all_99_2_63 % 95.83/64.41 | (185) sdtpldt0(all_0_10_10, all_0_4_4) = all_99_3_64 % 95.83/64.41 | (186) sdtpldt0(all_0_10_10, all_0_6_6) = all_0_5_5 % 95.83/64.41 | % 95.83/64.41 | Instantiating (156) with all_109_0_79, all_109_1_80, all_109_2_81, all_109_3_82 yields: % 95.83/64.41 | (187) sdtasdt0(all_109_2_81, xR) = all_109_1_80 & sdtasdt0(all_0_11_11, all_109_3_82) = all_50_1_30 & sdtasdt0(xR, xR) = all_109_0_79 & sdtpldt0(all_0_10_10, all_109_0_79) = all_109_1_80 & sdtpldt0(all_0_11_11, xR) = all_109_2_81 & sdtpldt0(xR, xR) = all_109_3_82 % 95.83/64.41 | % 95.83/64.41 | Applying alpha-rule on (187) yields: % 95.83/64.41 | (188) sdtpldt0(all_0_11_11, xR) = all_109_2_81 % 95.83/64.41 | (189) sdtpldt0(xR, xR) = all_109_3_82 % 95.83/64.41 | (190) sdtasdt0(xR, xR) = all_109_0_79 % 95.83/64.41 | (191) sdtpldt0(all_0_10_10, all_109_0_79) = all_109_1_80 % 95.83/64.41 | (192) sdtasdt0(all_109_2_81, xR) = all_109_1_80 % 95.83/64.41 | (193) sdtasdt0(all_0_11_11, all_109_3_82) = all_50_1_30 % 95.83/64.41 | % 95.83/64.41 | Instantiating formula (28) with xR, xR, all_109_0_79, all_0_6_6 and discharging atoms sdtasdt0(xR, xR) = all_109_0_79, sdtasdt0(xR, xR) = all_0_6_6, yields: % 95.83/64.41 | (194) all_109_0_79 = all_0_6_6 % 95.83/64.41 | % 95.83/64.41 | Instantiating formula (44) with all_0_10_10, all_0_6_6, all_0_5_5, all_109_1_80 and discharging atoms sdtpldt0(all_0_10_10, all_0_6_6) = all_0_5_5, yields: % 95.83/64.41 | (195) all_109_1_80 = all_0_5_5 | ~ (sdtpldt0(all_0_10_10, all_0_6_6) = all_109_1_80) % 95.83/64.41 | % 95.83/64.41 | From (194) and (191) follows: % 95.83/64.41 | (196) sdtpldt0(all_0_10_10, all_0_6_6) = all_109_1_80 % 95.83/64.41 | % 95.83/64.41 +-Applying beta-rule and splitting (195), into two cases. % 95.83/64.41 |-Branch one: % 95.83/64.41 | (197) ~ (sdtpldt0(all_0_10_10, all_0_6_6) = all_109_1_80) % 95.83/64.41 | % 95.83/64.41 | Using (196) and (197) yields: % 95.83/64.41 | (152) $false % 95.83/64.41 | % 95.83/64.41 |-The branch is then unsatisfiable % 95.83/64.41 |-Branch two: % 95.83/64.41 | (196) sdtpldt0(all_0_10_10, all_0_6_6) = all_109_1_80 % 95.83/64.41 | (200) all_109_1_80 = all_0_5_5 % 95.83/64.41 | % 95.83/64.41 | From (200) and (196) follows: % 95.83/64.41 | (186) sdtpldt0(all_0_10_10, all_0_6_6) = all_0_5_5 % 95.83/64.41 | % 95.83/64.41 | Instantiating formula (32) with all_0_0_0, all_0_1_1, all_0_10_10, all_0_6_6, all_0_3_3 and discharging atoms sdtpldt0(all_0_1_1, all_0_10_10) = all_0_0_0, sdtpldt0(all_0_3_3, all_0_6_6) = all_0_1_1, aScalar0(all_0_3_3), aScalar0(all_0_6_6), aScalar0(all_0_10_10), yields: % 95.83/64.41 | (202) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(v1, all_0_10_10) = v2 & sdtasdt0(all_0_3_3, v3) = v2 & sdtasdt0(all_0_3_3, all_0_6_6) = v1 & sdtasdt0(all_0_6_6, all_0_3_3) = v1 & sdtasdt0(all_0_6_6, all_0_10_10) = v3 & sdtpldt0(all_0_3_3, v0) = all_0_0_0 & sdtpldt0(all_0_6_6, all_0_3_3) = all_0_1_1 & sdtpldt0(all_0_6_6, all_0_10_10) = v0) % 95.83/64.41 | % 95.83/64.41 | Instantiating formula (32) with all_0_0_0, all_0_1_1, all_0_10_10, all_0_2_2, all_0_10_10 and discharging atoms sdtpldt0(all_0_1_1, all_0_10_10) = all_0_0_0, sdtpldt0(all_0_10_10, all_0_2_2) = all_0_1_1, aScalar0(all_0_2_2), aScalar0(all_0_10_10), yields: % 95.83/64.42 | (203) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(v1, all_0_10_10) = v2 & sdtasdt0(all_0_2_2, all_0_10_10) = v3 & sdtasdt0(all_0_2_2, all_0_10_10) = v1 & sdtasdt0(all_0_10_10, v3) = v2 & sdtasdt0(all_0_10_10, all_0_2_2) = v1 & sdtpldt0(all_0_2_2, all_0_10_10) = v0 & sdtpldt0(all_0_2_2, all_0_10_10) = all_0_1_1 & sdtpldt0(all_0_10_10, v0) = all_0_0_0) % 95.83/64.42 | % 95.83/64.42 | Instantiating formula (32) with all_0_7_7, all_0_5_5, all_0_3_3, all_0_6_6, all_0_10_10 and discharging atoms sdtpldt0(all_0_5_5, all_0_3_3) = all_0_7_7, sdtpldt0(all_0_10_10, all_0_6_6) = all_0_5_5, aScalar0(all_0_3_3), aScalar0(all_0_6_6), aScalar0(all_0_10_10), yields: % 95.83/64.42 | (204) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(v1, all_0_3_3) = v2 & sdtasdt0(all_0_6_6, all_0_3_3) = v3 & sdtasdt0(all_0_6_6, all_0_10_10) = v1 & sdtasdt0(all_0_10_10, v3) = v2 & sdtasdt0(all_0_10_10, all_0_6_6) = v1 & sdtpldt0(all_0_6_6, all_0_3_3) = v0 & sdtpldt0(all_0_6_6, all_0_10_10) = all_0_5_5 & sdtpldt0(all_0_10_10, v0) = all_0_7_7) % 95.83/64.42 | % 95.83/64.42 | Instantiating (202) with all_157_0_106, all_157_1_107, all_157_2_108, all_157_3_109 yields: % 95.83/64.42 | (205) sdtasdt0(all_157_2_108, all_0_10_10) = all_157_1_107 & sdtasdt0(all_0_3_3, all_157_0_106) = all_157_1_107 & sdtasdt0(all_0_3_3, all_0_6_6) = all_157_2_108 & sdtasdt0(all_0_6_6, all_0_3_3) = all_157_2_108 & sdtasdt0(all_0_6_6, all_0_10_10) = all_157_0_106 & sdtpldt0(all_0_3_3, all_157_3_109) = all_0_0_0 & sdtpldt0(all_0_6_6, all_0_3_3) = all_0_1_1 & sdtpldt0(all_0_6_6, all_0_10_10) = all_157_3_109 % 95.83/64.42 | % 95.83/64.42 | Applying alpha-rule on (205) yields: % 95.83/64.42 | (206) sdtpldt0(all_0_6_6, all_0_10_10) = all_157_3_109 % 95.83/64.42 | (148) sdtpldt0(all_0_6_6, all_0_3_3) = all_0_1_1 % 95.83/64.42 | (208) sdtasdt0(all_0_6_6, all_0_10_10) = all_157_0_106 % 95.83/64.42 | (209) sdtpldt0(all_0_3_3, all_157_3_109) = all_0_0_0 % 95.83/64.42 | (210) sdtasdt0(all_0_3_3, all_0_6_6) = all_157_2_108 % 95.83/64.42 | (211) sdtasdt0(all_157_2_108, all_0_10_10) = all_157_1_107 % 95.83/64.42 | (212) sdtasdt0(all_0_6_6, all_0_3_3) = all_157_2_108 % 95.83/64.42 | (213) sdtasdt0(all_0_3_3, all_157_0_106) = all_157_1_107 % 95.83/64.42 | % 95.83/64.42 | Instantiating (203) with all_165_0_118, all_165_1_119, all_165_2_120, all_165_3_121 yields: % 95.83/64.42 | (214) sdtasdt0(all_165_2_120, all_0_10_10) = all_165_1_119 & sdtasdt0(all_0_2_2, all_0_10_10) = all_165_0_118 & sdtasdt0(all_0_2_2, all_0_10_10) = all_165_2_120 & sdtasdt0(all_0_10_10, all_165_0_118) = all_165_1_119 & sdtasdt0(all_0_10_10, all_0_2_2) = all_165_2_120 & sdtpldt0(all_0_2_2, all_0_10_10) = all_165_3_121 & sdtpldt0(all_0_2_2, all_0_10_10) = all_0_1_1 & sdtpldt0(all_0_10_10, all_165_3_121) = all_0_0_0 % 95.83/64.42 | % 95.83/64.42 | Applying alpha-rule on (214) yields: % 95.83/64.42 | (215) sdtasdt0(all_0_2_2, all_0_10_10) = all_165_2_120 % 95.83/64.42 | (216) sdtpldt0(all_0_2_2, all_0_10_10) = all_165_3_121 % 95.83/64.42 | (217) sdtasdt0(all_165_2_120, all_0_10_10) = all_165_1_119 % 95.83/64.42 | (218) sdtasdt0(all_0_10_10, all_0_2_2) = all_165_2_120 % 95.83/64.42 | (219) sdtasdt0(all_0_2_2, all_0_10_10) = all_165_0_118 % 95.83/64.42 | (220) sdtpldt0(all_0_10_10, all_165_3_121) = all_0_0_0 % 95.83/64.42 | (221) sdtasdt0(all_0_10_10, all_165_0_118) = all_165_1_119 % 95.83/64.42 | (87) sdtpldt0(all_0_2_2, all_0_10_10) = all_0_1_1 % 95.83/64.42 | % 95.83/64.42 | Instantiating (204) with all_207_0_179, all_207_1_180, all_207_2_181, all_207_3_182 yields: % 95.83/64.42 | (223) sdtasdt0(all_207_2_181, all_0_3_3) = all_207_1_180 & sdtasdt0(all_0_6_6, all_0_3_3) = all_207_0_179 & sdtasdt0(all_0_6_6, all_0_10_10) = all_207_2_181 & sdtasdt0(all_0_10_10, all_207_0_179) = all_207_1_180 & sdtasdt0(all_0_10_10, all_0_6_6) = all_207_2_181 & sdtpldt0(all_0_6_6, all_0_3_3) = all_207_3_182 & sdtpldt0(all_0_6_6, all_0_10_10) = all_0_5_5 & sdtpldt0(all_0_10_10, all_207_3_182) = all_0_7_7 % 95.83/64.42 | % 95.83/64.42 | Applying alpha-rule on (223) yields: % 95.83/64.42 | (224) sdtasdt0(all_0_6_6, all_0_3_3) = all_207_0_179 % 95.83/64.42 | (225) sdtpldt0(all_0_6_6, all_0_3_3) = all_207_3_182 % 95.83/64.42 | (226) sdtasdt0(all_0_10_10, all_0_6_6) = all_207_2_181 % 95.83/64.42 | (66) sdtpldt0(all_0_6_6, all_0_10_10) = all_0_5_5 % 95.83/64.42 | (228) sdtasdt0(all_0_6_6, all_0_10_10) = all_207_2_181 % 95.83/64.42 | (229) sdtasdt0(all_207_2_181, all_0_3_3) = all_207_1_180 % 95.83/64.42 | (230) sdtpldt0(all_0_10_10, all_207_3_182) = all_0_7_7 % 95.83/64.42 | (231) sdtasdt0(all_0_10_10, all_207_0_179) = all_207_1_180 % 95.83/64.42 | % 95.83/64.42 | Instantiating formula (44) with all_0_2_2, all_0_10_10, all_165_3_121, all_0_1_1 and discharging atoms sdtpldt0(all_0_2_2, all_0_10_10) = all_165_3_121, sdtpldt0(all_0_2_2, all_0_10_10) = all_0_1_1, yields: % 95.83/64.42 | (232) all_165_3_121 = all_0_1_1 % 95.83/64.42 | % 95.83/64.42 | Instantiating formula (44) with all_0_6_6, all_0_3_3, all_207_3_182, all_0_1_1 and discharging atoms sdtpldt0(all_0_6_6, all_0_3_3) = all_207_3_182, sdtpldt0(all_0_6_6, all_0_3_3) = all_0_1_1, yields: % 95.83/64.42 | (233) all_207_3_182 = all_0_1_1 % 95.83/64.42 | % 95.83/64.42 | Instantiating formula (44) with all_0_10_10, all_165_3_121, all_0_0_0, all_0_7_7 and discharging atoms sdtpldt0(all_0_10_10, all_165_3_121) = all_0_0_0, yields: % 95.83/64.42 | (234) all_0_0_0 = all_0_7_7 | ~ (sdtpldt0(all_0_10_10, all_165_3_121) = all_0_7_7) % 95.83/64.42 | % 95.83/64.42 | From (233) and (230) follows: % 95.83/64.42 | (235) sdtpldt0(all_0_10_10, all_0_1_1) = all_0_7_7 % 95.83/64.42 | % 95.83/64.42 +-Applying beta-rule and splitting (234), into two cases. % 95.83/64.42 |-Branch one: % 95.83/64.42 | (236) ~ (sdtpldt0(all_0_10_10, all_165_3_121) = all_0_7_7) % 95.83/64.42 | % 95.83/64.42 | From (232) and (236) follows: % 95.83/64.42 | (237) ~ (sdtpldt0(all_0_10_10, all_0_1_1) = all_0_7_7) % 95.83/64.42 | % 95.83/64.42 | Using (235) and (237) yields: % 95.83/64.42 | (152) $false % 95.83/64.42 | % 95.83/64.42 |-The branch is then unsatisfiable % 95.83/64.42 |-Branch two: % 95.83/64.42 | (239) sdtpldt0(all_0_10_10, all_165_3_121) = all_0_7_7 % 95.83/64.42 | (240) all_0_0_0 = all_0_7_7 % 95.83/64.42 | % 95.83/64.42 | Equations (240) can reduce 3 to: % 95.83/64.42 | (241) $false % 95.83/64.42 | % 95.83/64.42 |-The branch is then unsatisfiable % 95.83/64.42 % SZS output end Proof for theBenchmark % 95.83/64.43 % 95.83/64.43 63844ms %------------------------------------------------------------------------------