%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : ALG142+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n020.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 : Thu Jul 14 15:36:41 EDT 2022 % Result : Unsatisfiable 4.47s 1.64s % Output : Proof 9.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : ALG142+1 : TPTP v8.1.0. Released v2.7.0. % 0.12/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.34 % Computer : n020.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Wed Jun 8 10:09:21 EDT 2022 % 0.13/0.34 % CPUTime : % 0.60/0.59 ____ _ % 0.60/0.59 ___ / __ \_____(_)___ ________ __________ % 0.60/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.60/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.60/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.60/0.59 % 0.60/0.59 A Theorem Prover for First-Order Logic % 0.60/0.59 (ePrincess v.1.0) % 0.60/0.59 % 0.60/0.59 (c) Philipp Rümmer, 2009-2015 % 0.60/0.59 (c) Peter Backeman, 2014-2015 % 0.60/0.59 (contributions by Angelo Brillout, Peter Baumgartner) % 0.60/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.60/0.59 Bug reports to peter@backeman.se % 0.60/0.59 % 0.60/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.60/0.59 % 0.60/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.76/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.27/1.08 Prover 0: Preprocessing ... % 3.20/1.32 Prover 0: Constructing countermodel ... % 4.47/1.64 Prover 0: proved (995ms) % 4.47/1.64 % 4.47/1.64 No countermodel exists, formula is valid % 4.47/1.64 % SZS status Unsatisfiable for theBenchmark % 4.47/1.64 % 4.47/1.64 Generating proof ... found it (size 1462) % 8.29/2.54 % 8.29/2.54 % SZS output start Proof for theBenchmark % 8.29/2.54 Assumed formulas after preprocessing and simplification: % 8.29/2.54 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(v15, e3) = v17 & op(v10, e2) = v19 & op(v5, e1) = v21 & op(v0, e0) = v23 & op(e3, v15) = v16 & op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, v10) = v18 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, v5) = v20 & op(e1, e3) = v7 & op(e1, e2) = v6 & op(e1, e1) = v5 & op(e1, e0) = v4 & op(e0, v0) = v22 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v25 = v24 | ~ (op(v27, v26) = v25) | ~ (op(v27, v26) = v24)) & ( ~ (v23 = e3) | ~ (v22 = e2) | ~ (v0 = e1)) & ( ~ (v23 = e3) | ~ (v22 = e1) | ~ (v0 = e2)) & ( ~ (v23 = e2) | ~ (v22 = e3) | ~ (v0 = e1)) & ( ~ (v23 = e2) | ~ (v22 = e1) | ~ (v0 = e3)) & ( ~ (v23 = e1) | ~ (v22 = e3) | ~ (v0 = e2)) & ( ~ (v23 = e1) | ~ (v22 = e2) | ~ (v0 = e3)) & ( ~ (v21 = e3) | ~ (v20 = e2) | ~ (v5 = e0)) & ( ~ (v21 = e3) | ~ (v20 = e0) | ~ (v5 = e2)) & ( ~ (v21 = e2) | ~ (v20 = e3) | ~ (v5 = e0)) & ( ~ (v21 = e2) | ~ (v20 = e0) | ~ (v5 = e3)) & ( ~ (v21 = e0) | ~ (v20 = e3) | ~ (v5 = e2)) & ( ~ (v21 = e0) | ~ (v20 = e2) | ~ (v5 = e3)) & ( ~ (v19 = e3) | ~ (v18 = e1) | ~ (v10 = e0)) & ( ~ (v19 = e3) | ~ (v18 = e0) | ~ (v10 = e1)) & ( ~ (v19 = e1) | ~ (v18 = e3) | ~ (v10 = e0)) & ( ~ (v19 = e1) | ~ (v18 = e0) | ~ (v10 = e3)) & ( ~ (v19 = e0) | ~ (v18 = e3) | ~ (v10 = e1)) & ( ~ (v19 = e0) | ~ (v18 = e1) | ~ (v10 = e3)) & ( ~ (v17 = e2) | ~ (v16 = e1) | ~ (v15 = e0)) & ( ~ (v17 = e2) | ~ (v16 = e0) | ~ (v15 = e1)) & ( ~ (v17 = e1) | ~ (v16 = e2) | ~ (v15 = e0)) & ( ~ (v17 = e1) | ~ (v16 = e0) | ~ (v15 = e2)) & ( ~ (v17 = e0) | ~ (v16 = e2) | ~ (v15 = e1)) & ( ~ (v17 = e0) | ~ (v16 = e1) | ~ (v15 = e2)) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v15 = e3 | v14 = e3 | v13 = e3 | v12 = e3) & (v15 = e3 | v11 = e3 | v7 = e3 | v3 = e3) & (v15 = e2 | v14 = e2 | v13 = e2 | v12 = e2) & (v15 = e2 | v11 = e2 | v7 = e2 | v3 = e2) & (v15 = e1 | v14 = e1 | v13 = e1 | v12 = e1) & (v15 = e1 | v11 = e1 | v7 = e1 | v3 = e1) & (v15 = e0 | v14 = e0 | v13 = e0 | v12 = e0) & (v15 = e0 | v11 = e0 | v7 = e0 | v3 = e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v14 = e3 | v10 = e3 | v6 = e3 | v2 = e3) & (v14 = e2 | v10 = e2 | v6 = e2 | v2 = e2) & (v14 = e1 | v10 = e1 | v6 = e1 | v2 = e1) & (v14 = e0 | v10 = e0 | v6 = e0 | v2 = e0) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v13 = e3 | v9 = e3 | v5 = e3 | v1 = e3) & (v13 = e2 | v9 = e2 | v5 = e2 | v1 = e2) & (v13 = e1 | v9 = e1 | v5 = e1 | v1 = e1) & (v13 = e0 | v9 = e0 | v5 = e0 | v1 = e0) & (v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v12 = e3 | v8 = e3 | v4 = e3 | v0 = e3) & (v12 = e2 | v8 = e2 | v4 = e2 | v0 = e2) & (v12 = e1 | v8 = e1 | v4 = e1 | v0 = e1) & (v12 = e0 | v8 = e0 | v4 = e0 | v0 = e0) & (v11 = e3 | v11 = e2 | v11 = e1 | v11 = e0) & (v11 = e3 | v10 = e3 | v9 = e3 | v8 = e3) & (v11 = e2 | v10 = e2 | v9 = e2 | v8 = e2) & (v11 = e1 | v10 = e1 | v9 = e1 | v8 = e1) & (v11 = e0 | v10 = e0 | v9 = e0 | v8 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) & (v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v7 = e3 | v6 = e3 | v5 = e3 | v4 = e3) & (v7 = e2 | v6 = e2 | v5 = e2 | v4 = e2) & (v7 = e1 | v6 = e1 | v5 = e1 | v4 = e1) & (v7 = e0 | v6 = e0 | v5 = e0 | v4 = e0) & (v6 = e3 | v6 = e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 = e1 | v3 = e0) & (v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v3 = e1 | v2 = e1 | v1 = e1 | v0 = e1) & (v3 = e0 | v2 = e0 | v1 = e0 | v0 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0) & ((v15 = e2 & ~ (v14 = e3)) | (v5 = e2 & ~ (v6 = e1)) | (v0 = e2 & ~ (v2 = e0))) & ((v15 = e1 & ~ (v13 = e3)) | (v10 = e1 & ~ (v9 = e2)) | (v0 = e1 & ~ (v1 = e0))) & ((v15 = e0 & ~ (v12 = e3)) | (v10 = e0 & ~ (v8 = e2)) | (v5 = e0 & ~ (v4 = e1))) & ((v10 = e3 & ~ (v11 = e2)) | (v5 = e3 & ~ (v7 = e1)) | (v0 = e3 & ~ (v3 = e0)))) % 8.29/2.59 | 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, all_0_19_19, all_0_20_20, all_0_21_21, all_0_22_22, all_0_23_23 yields: % 8.29/2.59 | (1) ~ (all_0_8_8 = all_0_9_9) & ~ (all_0_8_8 = all_0_10_10) & ~ (all_0_8_8 = all_0_11_11) & ~ (all_0_8_8 = all_0_12_12) & ~ (all_0_8_8 = all_0_16_16) & ~ (all_0_8_8 = all_0_20_20) & ~ (all_0_9_9 = all_0_10_10) & ~ (all_0_9_9 = all_0_11_11) & ~ (all_0_9_9 = all_0_13_13) & ~ (all_0_9_9 = all_0_17_17) & ~ (all_0_9_9 = all_0_21_21) & ~ (all_0_10_10 = all_0_11_11) & ~ (all_0_10_10 = all_0_14_14) & ~ (all_0_10_10 = all_0_18_18) & ~ (all_0_10_10 = all_0_22_22) & ~ (all_0_11_11 = all_0_15_15) & ~ (all_0_11_11 = all_0_19_19) & ~ (all_0_11_11 = all_0_23_23) & ~ (all_0_12_12 = all_0_13_13) & ~ (all_0_12_12 = all_0_14_14) & ~ (all_0_12_12 = all_0_15_15) & ~ (all_0_12_12 = all_0_16_16) & ~ (all_0_12_12 = all_0_20_20) & ~ (all_0_13_13 = all_0_14_14) & ~ (all_0_13_13 = all_0_15_15) & ~ (all_0_13_13 = all_0_17_17) & ~ (all_0_13_13 = all_0_21_21) & ~ (all_0_14_14 = all_0_15_15) & ~ (all_0_14_14 = all_0_18_18) & ~ (all_0_14_14 = all_0_22_22) & ~ (all_0_15_15 = all_0_19_19) & ~ (all_0_15_15 = all_0_23_23) & ~ (all_0_16_16 = all_0_17_17) & ~ (all_0_16_16 = all_0_18_18) & ~ (all_0_16_16 = all_0_19_19) & ~ (all_0_16_16 = all_0_20_20) & ~ (all_0_17_17 = all_0_18_18) & ~ (all_0_17_17 = all_0_19_19) & ~ (all_0_17_17 = all_0_21_21) & ~ (all_0_18_18 = all_0_19_19) & ~ (all_0_18_18 = all_0_22_22) & ~ (all_0_19_19 = all_0_23_23) & ~ (all_0_20_20 = all_0_21_21) & ~ (all_0_20_20 = all_0_22_22) & ~ (all_0_20_20 = all_0_23_23) & ~ (all_0_21_21 = all_0_22_22) & ~ (all_0_21_21 = all_0_23_23) & ~ (all_0_22_22 = all_0_23_23) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(all_0_8_8, e3) = all_0_6_6 & op(all_0_13_13, e2) = all_0_4_4 & op(all_0_18_18, e1) = all_0_2_2 & op(all_0_23_23, e0) = all_0_0_0 & op(e3, all_0_8_8) = all_0_7_7 & op(e3, e3) = all_0_8_8 & op(e3, e2) = all_0_9_9 & op(e3, e1) = all_0_10_10 & op(e3, e0) = all_0_11_11 & op(e2, all_0_13_13) = all_0_5_5 & op(e2, e3) = all_0_12_12 & op(e2, e2) = all_0_13_13 & op(e2, e1) = all_0_14_14 & op(e2, e0) = all_0_15_15 & op(e1, all_0_18_18) = all_0_3_3 & op(e1, e3) = all_0_16_16 & op(e1, e2) = all_0_17_17 & op(e1, e1) = all_0_18_18 & op(e1, e0) = all_0_19_19 & op(e0, all_0_23_23) = all_0_1_1 & op(e0, e3) = all_0_20_20 & op(e0, e2) = all_0_21_21 & op(e0, e1) = all_0_22_22 & op(e0, e0) = all_0_23_23 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) & ( ~ (all_0_0_0 = e3) | ~ (all_0_1_1 = e2) | ~ (all_0_23_23 = e1)) & ( ~ (all_0_0_0 = e3) | ~ (all_0_1_1 = e1) | ~ (all_0_23_23 = e2)) & ( ~ (all_0_0_0 = e2) | ~ (all_0_1_1 = e3) | ~ (all_0_23_23 = e1)) & ( ~ (all_0_0_0 = e2) | ~ (all_0_1_1 = e1) | ~ (all_0_23_23 = e3)) & ( ~ (all_0_0_0 = e1) | ~ (all_0_1_1 = e3) | ~ (all_0_23_23 = e2)) & ( ~ (all_0_0_0 = e1) | ~ (all_0_1_1 = e2) | ~ (all_0_23_23 = e3)) & ( ~ (all_0_2_2 = e3) | ~ (all_0_3_3 = e2) | ~ (all_0_18_18 = e0)) & ( ~ (all_0_2_2 = e3) | ~ (all_0_3_3 = e0) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_2_2 = e2) | ~ (all_0_3_3 = e3) | ~ (all_0_18_18 = e0)) & ( ~ (all_0_2_2 = e2) | ~ (all_0_3_3 = e0) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_2_2 = e0) | ~ (all_0_3_3 = e3) | ~ (all_0_18_18 = e2)) & ( ~ (all_0_2_2 = e0) | ~ (all_0_3_3 = e2) | ~ (all_0_18_18 = e3)) & ( ~ (all_0_4_4 = e3) | ~ (all_0_5_5 = e1) | ~ (all_0_13_13 = e0)) & ( ~ (all_0_4_4 = e3) | ~ (all_0_5_5 = e0) | ~ (all_0_13_13 = e1)) & ( ~ (all_0_4_4 = e1) | ~ (all_0_5_5 = e3) | ~ (all_0_13_13 = e0)) & ( ~ (all_0_4_4 = e1) | ~ (all_0_5_5 = e0) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_4_4 = e0) | ~ (all_0_5_5 = e3) | ~ (all_0_13_13 = e1)) & ( ~ (all_0_4_4 = e0) | ~ (all_0_5_5 = e1) | ~ (all_0_13_13 = e3)) & ( ~ (all_0_6_6 = e2) | ~ (all_0_7_7 = e1) | ~ (all_0_8_8 = e0)) & ( ~ (all_0_6_6 = e2) | ~ (all_0_7_7 = e0) | ~ (all_0_8_8 = e1)) & ( ~ (all_0_6_6 = e1) | ~ (all_0_7_7 = e2) | ~ (all_0_8_8 = e0)) & ( ~ (all_0_6_6 = e1) | ~ (all_0_7_7 = e0) | ~ (all_0_8_8 = e2)) & ( ~ (all_0_6_6 = e0) | ~ (all_0_7_7 = e2) | ~ (all_0_8_8 = e1)) & ( ~ (all_0_6_6 = e0) | ~ (all_0_7_7 = e1) | ~ (all_0_8_8 = e2)) & (all_0_8_8 = e3 | all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0) & (all_0_8_8 = e3 | all_0_9_9 = e3 | all_0_10_10 = e3 | all_0_11_11 = e3) & (all_0_8_8 = e3 | all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3) & (all_0_8_8 = e2 | all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2) & (all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2) & (all_0_8_8 = e1 | all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1) & (all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1) & (all_0_8_8 = e0 | all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0) & (all_0_8_8 = e0 | all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0) & (all_0_9_9 = e3 | all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0) & (all_0_9_9 = e3 | all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3) & (all_0_9_9 = e2 | all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2) & (all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1) & (all_0_9_9 = e0 | all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0) & (all_0_10_10 = e3 | all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0) & (all_0_10_10 = e3 | all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3) & (all_0_10_10 = e2 | all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2) & (all_0_10_10 = e1 | all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1) & (all_0_10_10 = e0 | all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0) & (all_0_11_11 = e3 | all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0) & (all_0_11_11 = e3 | all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3) & (all_0_11_11 = e2 | all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2) & (all_0_11_11 = e1 | all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1) & (all_0_11_11 = e0 | all_0_15_15 = e0 | all_0_19_19 = e0 | all_0_23_23 = e0) & (all_0_12_12 = e3 | all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0) & (all_0_12_12 = e3 | all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3) & (all_0_12_12 = e2 | all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2) & (all_0_12_12 = e1 | all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1) & (all_0_12_12 = e0 | all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0) & (all_0_13_13 = e3 | all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0) & (all_0_14_14 = e3 | all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0) & (all_0_15_15 = e3 | all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0) & (all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0) & (all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3) & (all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2) & (all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1) & (all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0) & (all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0) & (all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0) & (all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0) & (all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0) & (all_0_20_20 = e3 | all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3) & (all_0_20_20 = e2 | all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2) & (all_0_20_20 = e1 | all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1) & (all_0_20_20 = e0 | all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0) & (all_0_21_21 = e3 | all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0) & (all_0_22_22 = e3 | all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0) & (all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0) & ((all_0_8_8 = e2 & ~ (all_0_9_9 = e3)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e1)) | (all_0_23_23 = e2 & ~ (all_0_21_21 = e0))) & ((all_0_8_8 = e1 & ~ (all_0_10_10 = e3)) | (all_0_13_13 = e1 & ~ (all_0_14_14 = e2)) | (all_0_23_23 = e1 & ~ (all_0_22_22 = e0))) & ((all_0_8_8 = e0 & ~ (all_0_11_11 = e3)) | (all_0_13_13 = e0 & ~ (all_0_15_15 = e2)) | (all_0_18_18 = e0 & ~ (all_0_19_19 = e1))) & ((all_0_13_13 = e3 & ~ (all_0_12_12 = e2)) | (all_0_18_18 = e3 & ~ (all_0_16_16 = e1)) | (all_0_23_23 = e3 & ~ (all_0_20_20 = e0))) % 8.29/2.60 | % 8.29/2.60 | Applying alpha-rule on (1) yields: % 8.29/2.60 | (2) ~ (all_0_6_6 = e1) | ~ (all_0_7_7 = e2) | ~ (all_0_8_8 = e0) % 8.29/2.60 | (3) ~ (all_0_2_2 = e3) | ~ (all_0_3_3 = e0) | ~ (all_0_18_18 = e2) % 8.29/2.60 | (4) all_0_9_9 = e3 | all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3 % 8.29/2.60 | (5) ~ (all_0_0_0 = e2) | ~ (all_0_1_1 = e3) | ~ (all_0_23_23 = e1) % 8.29/2.60 | (6) op(e3, all_0_8_8) = all_0_7_7 % 8.29/2.60 | (7) all_0_9_9 = e0 | all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0 % 8.29/2.60 | (8) ~ (all_0_0_0 = e3) | ~ (all_0_1_1 = e1) | ~ (all_0_23_23 = e2) % 8.29/2.60 | (9) ~ (all_0_9_9 = all_0_21_21) % 8.29/2.60 | (10) all_0_12_12 = e1 | all_0_13_13 = e1 | all_0_14_14 = e1 | all_0_15_15 = e1 % 8.29/2.60 | (11) all_0_10_10 = e2 | all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2 % 8.29/2.60 | (12) ~ (all_0_8_8 = all_0_9_9) % 8.29/2.60 | (13) ~ (all_0_16_16 = all_0_19_19) % 8.29/2.60 | (14) ~ (all_0_10_10 = all_0_11_11) % 8.29/2.60 | (15) ~ (all_0_15_15 = all_0_23_23) % 8.29/2.60 | (16) op(e0, e2) = all_0_21_21 % 8.29/2.60 | (17) all_0_16_16 = e3 | all_0_16_16 = e2 | all_0_16_16 = e1 | all_0_16_16 = e0 % 8.29/2.60 | (18) all_0_10_10 = e3 | all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3 % 8.29/2.60 | (19) ~ (all_0_11_11 = all_0_23_23) % 8.29/2.60 | (20) ~ (all_0_14_14 = all_0_15_15) % 8.29/2.60 | (21) op(e2, e1) = all_0_14_14 % 8.29/2.60 | (22) op(e3, e1) = all_0_10_10 % 8.29/2.60 | (23) ~ (all_0_15_15 = all_0_19_19) % 8.29/2.60 | (24) all_0_8_8 = e3 | all_0_9_9 = e3 | all_0_10_10 = e3 | all_0_11_11 = e3 % 8.29/2.60 | (25) all_0_10_10 = e1 | all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1 % 8.29/2.60 | (26) ~ (all_0_2_2 = e2) | ~ (all_0_3_3 = e3) | ~ (all_0_18_18 = e0) % 8.29/2.60 | (27) op(e3, e0) = all_0_11_11 % 8.29/2.60 | (28) (all_0_8_8 = e2 & ~ (all_0_9_9 = e3)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e1)) | (all_0_23_23 = e2 & ~ (all_0_21_21 = e0)) % 8.74/2.60 | (29) all_0_8_8 = e3 | all_0_8_8 = e2 | all_0_8_8 = e1 | all_0_8_8 = e0 % 8.74/2.60 | (30) all_0_9_9 = e2 | all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2 % 8.74/2.60 | (31) ~ (all_0_4_4 = e0) | ~ (all_0_5_5 = e1) | ~ (all_0_13_13 = e3) % 8.74/2.60 | (32) op(e1, e1) = all_0_18_18 % 8.74/2.60 | (33) ~ (all_0_12_12 = all_0_13_13) % 8.74/2.60 | (34) ~ (all_0_13_13 = all_0_21_21) % 8.74/2.60 | (35) op(e2, e0) = all_0_15_15 % 8.74/2.60 | (36) ~ (all_0_11_11 = all_0_15_15) % 8.74/2.60 | (37) all_0_8_8 = e2 | all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2 % 8.74/2.60 | (38) ~ (all_0_2_2 = e0) | ~ (all_0_3_3 = e2) | ~ (all_0_18_18 = e3) % 8.74/2.60 | (39) ~ (e3 = e2) % 8.74/2.61 | (40) ~ (all_0_2_2 = e0) | ~ (all_0_3_3 = e3) | ~ (all_0_18_18 = e2) % 8.74/2.61 | (41) all_0_20_20 = e3 | all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3 % 8.74/2.61 | (42) ~ (all_0_14_14 = all_0_18_18) % 8.74/2.61 | (43) all_0_8_8 = e2 | all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2 % 8.74/2.61 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 8.74/2.61 | (45) all_0_19_19 = e3 | all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0 % 8.74/2.61 | (46) ~ (all_0_20_20 = all_0_21_21) % 8.74/2.61 | (47) all_0_11_11 = e2 | all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2 % 8.74/2.61 | (48) all_0_14_14 = e3 | all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0 % 8.74/2.61 | (49) ~ (all_0_17_17 = all_0_21_21) % 8.74/2.61 | (50) all_0_9_9 = e3 | all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0 % 8.74/2.61 | (51) all_0_16_16 = e3 | all_0_17_17 = e3 | all_0_18_18 = e3 | all_0_19_19 = e3 % 8.74/2.61 | (52) ~ (all_0_16_16 = all_0_17_17) % 8.74/2.61 | (53) ~ (e1 = e0) % 8.74/2.61 | (54) all_0_11_11 = e3 | all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0 % 8.74/2.61 | (55) all_0_9_9 = e1 | all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1 % 8.74/2.61 | (56) all_0_16_16 = e1 | all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1 % 8.74/2.61 | (57) ~ (all_0_6_6 = e0) | ~ (all_0_7_7 = e1) | ~ (all_0_8_8 = e2) % 8.74/2.61 | (58) op(all_0_13_13, e2) = all_0_4_4 % 8.74/2.61 | (59) all_0_12_12 = e0 | all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0 % 8.74/2.61 | (60) ~ (all_0_18_18 = all_0_22_22) % 8.74/2.61 | (61) op(e2, e2) = all_0_13_13 % 8.74/2.61 | (62) ~ (all_0_6_6 = e1) | ~ (all_0_7_7 = e0) | ~ (all_0_8_8 = e2) % 8.74/2.61 | (63) all_0_17_17 = e3 | all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0 % 8.74/2.61 | (64) all_0_8_8 = e1 | all_0_9_9 = e1 | all_0_10_10 = e1 | all_0_11_11 = e1 % 8.74/2.61 | (65) all_0_12_12 = e3 | all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0 % 8.74/2.61 | (66) ~ (all_0_20_20 = all_0_22_22) % 8.74/2.61 | (67) all_0_15_15 = e3 | all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0 % 8.74/2.61 | (68) ~ (all_0_0_0 = e2) | ~ (all_0_1_1 = e1) | ~ (all_0_23_23 = e3) % 8.74/2.61 | (69) ~ (all_0_21_21 = all_0_23_23) % 8.74/2.61 | (70) op(all_0_18_18, e1) = all_0_2_2 % 8.74/2.61 | (71) ~ (all_0_6_6 = e0) | ~ (all_0_7_7 = e2) | ~ (all_0_8_8 = e1) % 8.74/2.61 | (72) ~ (all_0_10_10 = all_0_14_14) % 8.74/2.61 | (73) all_0_16_16 = e0 | all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0 % 8.74/2.61 | (74) all_0_20_20 = e2 | all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 % 8.74/2.61 | (75) ~ (all_0_6_6 = e2) | ~ (all_0_7_7 = e1) | ~ (all_0_8_8 = e0) % 8.74/2.61 | (76) op(all_0_23_23, e0) = all_0_0_0 % 8.74/2.61 | (77) ~ (all_0_9_9 = all_0_13_13) % 8.74/2.61 | (78) op(e0, e3) = all_0_20_20 % 8.74/2.61 | (79) all_0_10_10 = e3 | all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0 % 8.74/2.61 | (80) op(e0, e0) = all_0_23_23 % 8.74/2.61 | (81) ~ (e2 = e1) % 8.74/2.61 | (82) ~ (all_0_12_12 = all_0_15_15) % 8.74/2.61 | (83) ~ (all_0_14_14 = all_0_22_22) % 8.74/2.61 | (84) op(e1, e3) = all_0_16_16 % 8.74/2.61 | (85) op(e0, all_0_23_23) = all_0_1_1 % 8.74/2.61 | (86) all_0_21_21 = e3 | all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0 % 8.74/2.61 | (87) all_0_11_11 = e0 | all_0_15_15 = e0 | all_0_19_19 = e0 | all_0_23_23 = e0 % 8.74/2.61 | (88) all_0_10_10 = e0 | all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0 % 8.74/2.61 | (89) op(e1, e2) = all_0_17_17 % 8.74/2.61 | (90) ~ (all_0_13_13 = all_0_17_17) % 8.74/2.61 | (91) (all_0_8_8 = e1 & ~ (all_0_10_10 = e3)) | (all_0_13_13 = e1 & ~ (all_0_14_14 = e2)) | (all_0_23_23 = e1 & ~ (all_0_22_22 = e0)) % 8.74/2.61 | (92) ~ (e2 = e0) % 8.74/2.61 | (93) all_0_11_11 = e3 | all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3 % 8.74/2.61 | (94) all_0_20_20 = e1 | all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 % 8.74/2.61 | (95) all_0_22_22 = e3 | all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0 % 8.74/2.61 | (96) all_0_8_8 = e0 | all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0 % 8.74/2.61 | (97) ~ (all_0_13_13 = all_0_14_14) % 8.74/2.61 | (98) all_0_8_8 = e1 | all_0_12_12 = e1 | all_0_16_16 = e1 | all_0_20_20 = e1 % 8.74/2.61 | (99) ~ (all_0_22_22 = all_0_23_23) % 8.74/2.61 | (100) op(e2, all_0_13_13) = all_0_5_5 % 8.74/2.62 | (101) ~ (all_0_13_13 = all_0_15_15) % 8.74/2.62 | (102) ~ (e3 = e1) % 8.74/2.62 | (103) ~ (all_0_8_8 = all_0_20_20) % 8.74/2.62 | (104) ~ (all_0_10_10 = all_0_18_18) % 8.74/2.62 | (105) ~ (all_0_12_12 = all_0_16_16) % 8.74/2.62 | (106) all_0_12_12 = e3 | all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3 % 8.74/2.62 | (107) ~ (all_0_2_2 = e3) | ~ (all_0_3_3 = e2) | ~ (all_0_18_18 = e0) % 8.74/2.62 | (108) ~ (all_0_20_20 = all_0_23_23) % 8.74/2.62 | (109) ~ (all_0_8_8 = all_0_10_10) % 8.74/2.62 | (110) op(e3, e3) = all_0_8_8 % 8.74/2.62 | (111) ~ (all_0_0_0 = e1) | ~ (all_0_1_1 = e3) | ~ (all_0_23_23 = e2) % 8.74/2.62 | (112) all_0_13_13 = e3 | all_0_13_13 = e2 | all_0_13_13 = e1 | all_0_13_13 = e0 % 8.74/2.62 | (113) ~ (all_0_4_4 = e1) | ~ (all_0_5_5 = e3) | ~ (all_0_13_13 = e0) % 8.74/2.62 | (114) op(e2, e3) = all_0_12_12 % 8.74/2.62 | (115) ~ (all_0_16_16 = all_0_20_20) % 8.74/2.62 | (116) ~ (all_0_2_2 = e2) | ~ (all_0_3_3 = e0) | ~ (all_0_18_18 = e3) % 8.74/2.62 | (117) ~ (e3 = e0) % 8.74/2.62 | (118) ~ (all_0_16_16 = all_0_18_18) % 8.74/2.62 | (119) all_0_8_8 = e3 | all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3 % 8.74/2.62 | (120) ~ (all_0_17_17 = all_0_19_19) % 8.74/2.62 | (121) all_0_23_23 = e3 | all_0_23_23 = e2 | all_0_23_23 = e1 | all_0_23_23 = e0 % 8.74/2.62 | (122) ~ (all_0_12_12 = all_0_20_20) % 8.74/2.62 | (123) ~ (all_0_12_12 = all_0_14_14) % 8.74/2.62 | (124) all_0_20_20 = e0 | all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 % 8.74/2.62 | (125) op(e1, e0) = all_0_19_19 % 8.74/2.62 | (126) (all_0_8_8 = e0 & ~ (all_0_11_11 = e3)) | (all_0_13_13 = e0 & ~ (all_0_15_15 = e2)) | (all_0_18_18 = e0 & ~ (all_0_19_19 = e1)) % 8.74/2.62 | (127) ~ (all_0_18_18 = all_0_19_19) % 8.74/2.62 | (128) all_0_11_11 = e1 | all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1 % 8.74/2.62 | (129) ~ (all_0_8_8 = all_0_16_16) % 8.74/2.62 | (130) all_0_16_16 = e2 | all_0_17_17 = e2 | all_0_18_18 = e2 | all_0_19_19 = e2 % 8.74/2.62 | (131) ~ (all_0_11_11 = all_0_19_19) % 8.74/2.62 | (132) ~ (all_0_10_10 = all_0_22_22) % 8.74/2.62 | (133) all_0_12_12 = e2 | all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2 % 8.74/2.62 | (134) ~ (all_0_9_9 = all_0_17_17) % 8.74/2.62 | (135) all_0_20_20 = e3 | all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0 % 8.74/2.62 | (136) op(all_0_8_8, e3) = all_0_6_6 % 8.74/2.62 | (137) ~ (all_0_9_9 = all_0_11_11) % 8.74/2.62 | (138) (all_0_13_13 = e3 & ~ (all_0_12_12 = e2)) | (all_0_18_18 = e3 & ~ (all_0_16_16 = e1)) | (all_0_23_23 = e3 & ~ (all_0_20_20 = e0)) % 8.74/2.62 | (139) ~ (all_0_19_19 = all_0_23_23) % 8.74/2.62 | (140) ~ (all_0_4_4 = e0) | ~ (all_0_5_5 = e3) | ~ (all_0_13_13 = e1) % 8.74/2.62 | (141) ~ (all_0_6_6 = e2) | ~ (all_0_7_7 = e0) | ~ (all_0_8_8 = e1) % 8.74/2.62 | (142) ~ (all_0_9_9 = all_0_10_10) % 8.74/2.62 | (143) ~ (all_0_17_17 = all_0_18_18) % 8.74/2.62 | (144) ~ (all_0_4_4 = e3) | ~ (all_0_5_5 = e1) | ~ (all_0_13_13 = e0) % 8.74/2.62 | (145) all_0_18_18 = e3 | all_0_18_18 = e2 | all_0_18_18 = e1 | all_0_18_18 = e0 % 8.74/2.62 | (146) all_0_8_8 = e0 | all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0 % 8.74/2.62 | (147) ~ (all_0_4_4 = e1) | ~ (all_0_5_5 = e0) | ~ (all_0_13_13 = e3) % 8.74/2.62 | (148) op(e3, e2) = all_0_9_9 % 8.74/2.62 | (149) ~ (all_0_0_0 = e1) | ~ (all_0_1_1 = e2) | ~ (all_0_23_23 = e3) % 8.74/2.62 | (150) op(e1, all_0_18_18) = all_0_3_3 % 8.74/2.62 | (151) ~ (all_0_4_4 = e3) | ~ (all_0_5_5 = e0) | ~ (all_0_13_13 = e1) % 8.74/2.62 | (152) ~ (all_0_21_21 = all_0_22_22) % 8.74/2.62 | (153) ~ (all_0_8_8 = all_0_12_12) % 8.74/2.62 | (154) ~ (all_0_0_0 = e3) | ~ (all_0_1_1 = e2) | ~ (all_0_23_23 = e1) % 8.74/2.62 | (155) ~ (all_0_8_8 = all_0_11_11) % 8.74/2.62 | (156) op(e0, e1) = all_0_22_22 % 8.74/2.62 | % 8.74/2.62 +-Applying beta-rule and splitting (126), into two cases. % 8.74/2.62 |-Branch one: % 8.74/2.62 | (157) (all_0_8_8 = e0 & ~ (all_0_11_11 = e3)) | (all_0_13_13 = e0 & ~ (all_0_15_15 = e2)) % 8.74/2.62 | % 8.74/2.62 +-Applying beta-rule and splitting (157), into two cases. % 8.74/2.62 |-Branch one: % 8.74/2.62 | (158) all_0_8_8 = e0 & ~ (all_0_11_11 = e3) % 8.74/2.62 | % 8.74/2.62 | Applying alpha-rule on (158) yields: % 8.74/2.62 | (159) all_0_8_8 = e0 % 8.74/2.63 | (160) ~ (all_0_11_11 = e3) % 8.74/2.63 | % 8.74/2.63 | Equations (159) can reduce 12 to: % 8.74/2.63 | (161) ~ (all_0_9_9 = e0) % 8.74/2.63 | % 8.74/2.63 | Simplifying 161 yields: % 8.74/2.63 | (162) ~ (all_0_9_9 = e0) % 8.74/2.63 | % 8.74/2.63 | Equations (159) can reduce 109 to: % 8.74/2.63 | (163) ~ (all_0_10_10 = e0) % 8.74/2.63 | % 8.74/2.63 | Simplifying 163 yields: % 8.74/2.63 | (164) ~ (all_0_10_10 = e0) % 8.74/2.63 | % 8.74/2.63 | Equations (159) can reduce 155 to: % 8.74/2.63 | (165) ~ (all_0_11_11 = e0) % 8.74/2.63 | % 8.74/2.63 | Simplifying 165 yields: % 8.74/2.63 | (166) ~ (all_0_11_11 = e0) % 8.74/2.63 | % 8.74/2.63 | Equations (159) can reduce 153 to: % 8.74/2.63 | (167) ~ (all_0_12_12 = e0) % 8.74/2.63 | % 8.74/2.63 | Simplifying 167 yields: % 8.74/2.63 | (168) ~ (all_0_12_12 = e0) % 8.74/2.63 | % 8.74/2.63 | Equations (159) can reduce 129 to: % 8.74/2.63 | (169) ~ (all_0_16_16 = e0) % 8.74/2.63 | % 8.74/2.63 | Simplifying 169 yields: % 8.74/2.63 | (170) ~ (all_0_16_16 = e0) % 8.74/2.63 | % 8.74/2.63 | Equations (159) can reduce 103 to: % 8.74/2.63 | (171) ~ (all_0_20_20 = e0) % 8.74/2.63 | % 8.74/2.63 | Simplifying 171 yields: % 8.74/2.63 | (172) ~ (all_0_20_20 = e0) % 8.74/2.63 | % 8.74/2.63 | From (159) and (136) follows: % 8.74/2.63 | (173) op(e0, e3) = all_0_6_6 % 8.74/2.63 | % 8.74/2.63 | From (159) and (6) follows: % 8.74/2.63 | (174) op(e3, e0) = all_0_7_7 % 8.74/2.63 | % 8.74/2.63 | Instantiating formula (44) with e3, e0, all_0_7_7, all_0_11_11 and discharging atoms op(e3, e0) = all_0_7_7, op(e3, e0) = all_0_11_11, yields: % 8.74/2.63 | (175) all_0_7_7 = all_0_11_11 % 8.74/2.63 | % 8.74/2.63 | Instantiating formula (44) with e0, e3, all_0_6_6, all_0_20_20 and discharging atoms op(e0, e3) = all_0_6_6, op(e0, e3) = all_0_20_20, yields: % 8.74/2.63 | (176) all_0_6_6 = all_0_20_20 % 8.74/2.63 | % 8.74/2.63 +-Applying beta-rule and splitting (75), into two cases. % 8.74/2.63 |-Branch one: % 8.74/2.63 | (177) ~ (all_0_6_6 = e2) % 8.74/2.63 | % 8.74/2.63 | Equations (176) can reduce 177 to: % 8.74/2.63 | (178) ~ (all_0_20_20 = e2) % 8.74/2.63 | % 8.74/2.63 +-Applying beta-rule and splitting (91), into two cases. % 8.74/2.63 |-Branch one: % 8.74/2.63 | (179) (all_0_8_8 = e1 & ~ (all_0_10_10 = e3)) | (all_0_13_13 = e1 & ~ (all_0_14_14 = e2)) % 8.74/2.63 | % 8.74/2.63 +-Applying beta-rule and splitting (179), into two cases. % 8.74/2.63 |-Branch one: % 8.74/2.63 | (180) all_0_8_8 = e1 & ~ (all_0_10_10 = e3) % 8.74/2.63 | % 8.74/2.63 | Applying alpha-rule on (180) yields: % 8.74/2.63 | (181) all_0_8_8 = e1 % 8.74/2.63 | (182) ~ (all_0_10_10 = e3) % 8.74/2.63 | % 8.74/2.63 | Combining equations (181,159) yields a new equation: % 8.74/2.63 | (183) e1 = e0 % 8.74/2.63 | % 8.74/2.63 | Simplifying 183 yields: % 8.74/2.63 | (184) e1 = e0 % 8.74/2.63 | % 8.74/2.63 | Equations (184) can reduce 53 to: % 8.74/2.63 | (185) $false % 8.74/2.63 | % 8.74/2.63 |-The branch is then unsatisfiable % 8.74/2.63 |-Branch two: % 8.74/2.63 | (186) all_0_13_13 = e1 & ~ (all_0_14_14 = e2) % 8.74/2.63 | % 8.74/2.63 | Applying alpha-rule on (186) yields: % 8.74/2.63 | (187) all_0_13_13 = e1 % 8.74/2.63 | (188) ~ (all_0_14_14 = e2) % 8.74/2.63 | % 8.74/2.63 | Equations (187) can reduce 77 to: % 8.74/2.63 | (189) ~ (all_0_9_9 = e1) % 8.74/2.63 | % 8.74/2.63 | Equations (187) can reduce 33 to: % 8.74/2.63 | (190) ~ (all_0_12_12 = e1) % 8.74/2.63 | % 8.74/2.64 | Equations (187) can reduce 97 to: % 8.74/2.64 | (191) ~ (all_0_14_14 = e1) % 8.74/2.64 | % 8.74/2.64 | Simplifying 191 yields: % 8.74/2.64 | (192) ~ (all_0_14_14 = e1) % 8.74/2.64 | % 8.74/2.64 | Equations (187) can reduce 34 to: % 8.74/2.64 | (193) ~ (all_0_21_21 = e1) % 8.74/2.64 | % 8.74/2.64 | Simplifying 193 yields: % 8.74/2.64 | (194) ~ (all_0_21_21 = e1) % 8.74/2.64 | % 8.74/2.64 | From (187) and (58) follows: % 8.74/2.64 | (195) op(e1, e2) = all_0_4_4 % 8.74/2.64 | % 8.74/2.64 | From (187) and (100) follows: % 8.74/2.64 | (196) op(e2, e1) = all_0_5_5 % 8.74/2.64 | % 8.74/2.64 | Instantiating formula (44) with e2, e1, all_0_5_5, all_0_14_14 and discharging atoms op(e2, e1) = all_0_5_5, op(e2, e1) = all_0_14_14, yields: % 8.74/2.64 | (197) all_0_5_5 = all_0_14_14 % 8.74/2.64 | % 8.74/2.64 | Instantiating formula (44) with e1, e2, all_0_4_4, all_0_17_17 and discharging atoms op(e1, e2) = all_0_4_4, op(e1, e2) = all_0_17_17, yields: % 8.74/2.64 | (198) all_0_4_4 = all_0_17_17 % 8.74/2.64 | % 8.74/2.64 +-Applying beta-rule and splitting (140), into two cases. % 8.74/2.64 |-Branch one: % 8.74/2.64 | (199) ~ (all_0_4_4 = e0) % 8.74/2.64 | % 8.74/2.64 | Equations (198) can reduce 199 to: % 8.74/2.64 | (200) ~ (all_0_17_17 = e0) % 8.74/2.64 | % 8.74/2.64 +-Applying beta-rule and splitting (7), into two cases. % 8.74/2.64 |-Branch one: % 8.74/2.64 | (201) all_0_9_9 = e0 % 8.74/2.64 | % 8.74/2.64 | Equations (201) can reduce 162 to: % 8.74/2.64 | (185) $false % 8.74/2.64 | % 8.74/2.64 |-The branch is then unsatisfiable % 8.74/2.64 |-Branch two: % 8.74/2.64 | (162) ~ (all_0_9_9 = e0) % 8.74/2.64 | (204) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0 % 8.74/2.64 | % 8.74/2.64 +-Applying beta-rule and splitting (204), into two cases. % 8.74/2.64 |-Branch one: % 8.74/2.64 | (205) all_0_13_13 = e0 % 8.74/2.64 | % 8.74/2.64 | Combining equations (205,187) yields a new equation: % 8.74/2.64 | (184) e1 = e0 % 8.74/2.64 | % 8.74/2.64 | Equations (184) can reduce 53 to: % 8.74/2.64 | (185) $false % 8.74/2.64 | % 8.74/2.64 |-The branch is then unsatisfiable % 8.74/2.64 |-Branch two: % 8.74/2.64 | (208) ~ (all_0_13_13 = e0) % 8.74/2.64 | (209) all_0_17_17 = e0 | all_0_21_21 = e0 % 8.74/2.64 | % 8.74/2.64 +-Applying beta-rule and splitting (209), into two cases. % 8.74/2.64 |-Branch one: % 8.74/2.64 | (210) all_0_17_17 = e0 % 8.74/2.64 | % 8.74/2.64 | Equations (210) can reduce 200 to: % 8.74/2.64 | (185) $false % 8.74/2.64 | % 8.74/2.64 |-The branch is then unsatisfiable % 8.74/2.64 |-Branch two: % 8.74/2.64 | (200) ~ (all_0_17_17 = e0) % 8.74/2.64 | (213) all_0_21_21 = e0 % 8.74/2.64 | % 8.74/2.64 | Equations (213) can reduce 9 to: % 8.74/2.64 | (162) ~ (all_0_9_9 = e0) % 8.74/2.64 | % 8.74/2.64 | Equations (213) can reduce 49 to: % 8.74/2.64 | (200) ~ (all_0_17_17 = e0) % 8.74/2.64 | % 8.74/2.64 | Equations (213) can reduce 152 to: % 8.74/2.64 | (216) ~ (all_0_22_22 = e0) % 8.74/2.64 | % 8.74/2.64 | Simplifying 216 yields: % 8.74/2.64 | (217) ~ (all_0_22_22 = e0) % 8.74/2.64 | % 8.74/2.64 | Equations (213) can reduce 69 to: % 8.74/2.64 | (218) ~ (all_0_23_23 = e0) % 8.74/2.64 | % 8.74/2.64 | Simplifying 218 yields: % 8.74/2.64 | (219) ~ (all_0_23_23 = e0) % 8.74/2.64 | % 8.74/2.64 | Equations (213) can reduce 194 to: % 8.74/2.64 | (220) ~ (e1 = e0) % 8.74/2.64 | % 8.74/2.64 | Simplifying 220 yields: % 8.74/2.64 | (53) ~ (e1 = e0) % 8.74/2.64 | % 8.74/2.64 +-Applying beta-rule and splitting (28), into two cases. % 8.74/2.64 |-Branch one: % 8.74/2.64 | (222) (all_0_8_8 = e2 & ~ (all_0_9_9 = e3)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e1)) % 8.74/2.64 | % 8.74/2.65 +-Applying beta-rule and splitting (222), into two cases. % 8.74/2.65 |-Branch one: % 8.74/2.65 | (223) all_0_8_8 = e2 & ~ (all_0_9_9 = e3) % 8.74/2.65 | % 8.74/2.65 | Applying alpha-rule on (223) yields: % 8.74/2.65 | (224) all_0_8_8 = e2 % 8.74/2.65 | (225) ~ (all_0_9_9 = e3) % 8.74/2.65 | % 8.74/2.65 | Combining equations (224,159) yields a new equation: % 8.74/2.65 | (226) e2 = e0 % 8.74/2.65 | % 8.74/2.65 | Simplifying 226 yields: % 8.74/2.65 | (227) e2 = e0 % 8.74/2.65 | % 8.74/2.65 | Equations (227) can reduce 92 to: % 8.74/2.65 | (185) $false % 8.74/2.65 | % 8.74/2.65 |-The branch is then unsatisfiable % 8.74/2.65 |-Branch two: % 8.74/2.65 | (229) all_0_18_18 = e2 & ~ (all_0_17_17 = e1) % 8.74/2.65 | % 8.74/2.65 | Applying alpha-rule on (229) yields: % 8.74/2.65 | (230) all_0_18_18 = e2 % 8.74/2.65 | (231) ~ (all_0_17_17 = e1) % 8.74/2.65 | % 8.74/2.65 | Equations (230) can reduce 42 to: % 8.74/2.65 | (188) ~ (all_0_14_14 = e2) % 8.74/2.65 | % 8.74/2.65 | Equations (230) can reduce 143 to: % 8.74/2.65 | (233) ~ (all_0_17_17 = e2) % 8.74/2.65 | % 8.74/2.65 | Equations (230) can reduce 60 to: % 8.74/2.65 | (234) ~ (all_0_22_22 = e2) % 8.74/2.65 | % 8.74/2.65 | Simplifying 234 yields: % 8.74/2.65 | (235) ~ (all_0_22_22 = e2) % 8.74/2.65 | % 8.74/2.65 +-Applying beta-rule and splitting (63), into two cases. % 8.74/2.65 |-Branch one: % 8.74/2.65 | (236) all_0_17_17 = e3 % 8.74/2.65 | % 8.74/2.65 | Combining equations (236,198) yields a new equation: % 8.74/2.65 | (237) all_0_4_4 = e3 % 8.74/2.65 | % 8.74/2.65 | Equations (236) can reduce 134 to: % 8.74/2.65 | (225) ~ (all_0_9_9 = e3) % 8.74/2.65 | % 8.74/2.65 | Equations (236) can reduce 52 to: % 8.74/2.65 | (239) ~ (all_0_16_16 = e3) % 8.74/2.65 | % 8.74/2.65 | Equations (236) can reduce 233 to: % 8.74/2.65 | (39) ~ (e3 = e2) % 8.74/2.65 | % 8.74/2.65 | Equations (236) can reduce 231 to: % 8.74/2.65 | (102) ~ (e3 = e1) % 8.74/2.65 | % 8.74/2.65 | Equations (236) can reduce 200 to: % 8.74/2.65 | (117) ~ (e3 = e0) % 8.74/2.65 | % 8.74/2.65 +-Applying beta-rule and splitting (151), into two cases. % 8.74/2.65 |-Branch one: % 8.74/2.65 | (243) ~ (all_0_4_4 = e3) % 8.74/2.65 | % 8.74/2.65 | Equations (237) can reduce 243 to: % 8.74/2.65 | (185) $false % 8.74/2.65 | % 8.74/2.65 |-The branch is then unsatisfiable % 8.74/2.65 |-Branch two: % 8.74/2.65 | (237) all_0_4_4 = e3 % 8.74/2.65 | (246) ~ (all_0_5_5 = e0) | ~ (all_0_13_13 = e1) % 8.74/2.65 | % 8.74/2.65 +-Applying beta-rule and splitting (246), into two cases. % 8.74/2.65 |-Branch one: % 8.74/2.65 | (247) ~ (all_0_5_5 = e0) % 8.74/2.65 | % 8.74/2.65 | Equations (197) can reduce 247 to: % 8.74/2.65 | (248) ~ (all_0_14_14 = e0) % 8.74/2.65 | % 8.74/2.65 +-Applying beta-rule and splitting (50), into two cases. % 8.74/2.65 |-Branch one: % 8.74/2.65 | (249) all_0_9_9 = e3 % 8.74/2.65 | % 8.74/2.65 | Equations (249) can reduce 225 to: % 8.74/2.65 | (185) $false % 8.74/2.65 | % 8.74/2.65 |-The branch is then unsatisfiable % 8.74/2.65 |-Branch two: % 8.74/2.65 | (225) ~ (all_0_9_9 = e3) % 8.74/2.65 | (252) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0 % 8.74/2.65 | % 8.74/2.65 +-Applying beta-rule and splitting (88), into two cases. % 8.74/2.65 |-Branch one: % 8.74/2.65 | (253) all_0_10_10 = e0 % 8.74/2.65 | % 8.74/2.65 | Equations (253) can reduce 164 to: % 8.74/2.65 | (185) $false % 8.74/2.65 | % 8.74/2.65 |-The branch is then unsatisfiable % 8.74/2.65 |-Branch two: % 8.74/2.65 | (164) ~ (all_0_10_10 = e0) % 8.74/2.65 | (256) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0 % 8.74/2.65 | % 8.74/2.65 +-Applying beta-rule and splitting (256), into two cases. % 8.74/2.65 |-Branch one: % 8.74/2.65 | (257) all_0_14_14 = e0 % 8.74/2.65 | % 8.74/2.65 | Equations (257) can reduce 248 to: % 8.74/2.65 | (185) $false % 8.74/2.65 | % 8.74/2.65 |-The branch is then unsatisfiable % 8.74/2.65 |-Branch two: % 8.74/2.65 | (248) ~ (all_0_14_14 = e0) % 8.74/2.65 | (260) all_0_18_18 = e0 | all_0_22_22 = e0 % 8.74/2.65 | % 8.74/2.65 +-Applying beta-rule and splitting (43), into two cases. % 8.74/2.65 |-Branch one: % 8.74/2.65 | (224) all_0_8_8 = e2 % 8.74/2.65 | % 8.74/2.65 | Combining equations (159,224) yields a new equation: % 8.74/2.65 | (227) e2 = e0 % 8.74/2.65 | % 8.74/2.65 | Equations (227) can reduce 92 to: % 8.74/2.65 | (185) $false % 8.74/2.65 | % 8.74/2.65 |-The branch is then unsatisfiable % 8.74/2.65 |-Branch two: % 8.74/2.65 | (264) ~ (all_0_8_8 = e2) % 8.74/2.65 | (265) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2 % 8.74/2.65 | % 8.74/2.65 +-Applying beta-rule and splitting (265), into two cases. % 8.74/2.65 |-Branch one: % 8.74/2.65 | (266) all_0_12_12 = e2 % 8.74/2.65 | % 8.74/2.65 +-Applying beta-rule and splitting (138), into two cases. % 8.74/2.65 |-Branch one: % 8.74/2.65 | (267) (all_0_13_13 = e3 & ~ (all_0_12_12 = e2)) | (all_0_18_18 = e3 & ~ (all_0_16_16 = e1)) % 8.74/2.65 | % 8.74/2.65 +-Applying beta-rule and splitting (267), into two cases. % 8.74/2.65 |-Branch one: % 8.74/2.65 | (268) all_0_13_13 = e3 & ~ (all_0_12_12 = e2) % 8.74/2.65 | % 8.74/2.65 | Applying alpha-rule on (268) yields: % 8.74/2.65 | (269) all_0_13_13 = e3 % 8.74/2.65 | (270) ~ (all_0_12_12 = e2) % 8.74/2.65 | % 8.74/2.65 | Combining equations (187,269) yields a new equation: % 8.74/2.65 | (271) e3 = e1 % 8.74/2.65 | % 8.74/2.65 | Equations (271) can reduce 102 to: % 8.74/2.65 | (185) $false % 8.74/2.65 | % 8.74/2.65 |-The branch is then unsatisfiable % 8.74/2.65 |-Branch two: % 8.74/2.65 | (273) all_0_18_18 = e3 & ~ (all_0_16_16 = e1) % 8.74/2.65 | % 8.74/2.65 | Applying alpha-rule on (273) yields: % 8.74/2.65 | (274) all_0_18_18 = e3 % 8.74/2.65 | (275) ~ (all_0_16_16 = e1) % 8.74/2.65 | % 8.74/2.65 | Combining equations (230,274) yields a new equation: % 8.74/2.65 | (276) e3 = e2 % 8.74/2.65 | % 8.74/2.65 | Equations (276) can reduce 39 to: % 8.74/2.65 | (185) $false % 8.74/2.65 | % 8.74/2.65 |-The branch is then unsatisfiable % 8.74/2.65 |-Branch two: % 8.74/2.65 | (278) all_0_23_23 = e3 & ~ (all_0_20_20 = e0) % 8.74/2.65 | % 8.74/2.65 | Applying alpha-rule on (278) yields: % 8.74/2.65 | (279) all_0_23_23 = e3 % 8.74/2.65 | (172) ~ (all_0_20_20 = e0) % 8.74/2.65 | % 8.74/2.65 | Equations (279) can reduce 108 to: % 8.74/2.65 | (281) ~ (all_0_20_20 = e3) % 8.74/2.65 | % 8.74/2.65 | Equations (279) can reduce 219 to: % 8.74/2.65 | (117) ~ (e3 = e0) % 8.74/2.65 | % 8.74/2.65 +-Applying beta-rule and splitting (119), into two cases. % 8.74/2.65 |-Branch one: % 8.74/2.65 | (283) all_0_8_8 = e3 % 8.74/2.65 | % 8.74/2.65 | Combining equations (283,159) yields a new equation: % 8.74/2.65 | (284) e3 = e0 % 8.74/2.65 | % 8.74/2.65 | Simplifying 284 yields: % 8.74/2.65 | (285) e3 = e0 % 8.74/2.65 | % 8.74/2.65 | Equations (285) can reduce 117 to: % 8.74/2.65 | (185) $false % 8.74/2.65 | % 8.74/2.65 |-The branch is then unsatisfiable % 8.74/2.65 |-Branch two: % 8.74/2.65 | (287) ~ (all_0_8_8 = e3) % 8.74/2.65 | (288) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3 % 8.74/2.65 | % 8.74/2.65 +-Applying beta-rule and splitting (288), into two cases. % 8.74/2.65 |-Branch one: % 8.74/2.65 | (289) all_0_12_12 = e3 % 8.74/2.65 | % 8.74/2.65 | Combining equations (266,289) yields a new equation: % 8.74/2.65 | (276) e3 = e2 % 8.74/2.65 | % 8.74/2.65 | Equations (276) can reduce 39 to: % 8.74/2.65 | (185) $false % 8.74/2.65 | % 8.74/2.65 |-The branch is then unsatisfiable % 8.74/2.65 |-Branch two: % 8.74/2.65 | (292) ~ (all_0_12_12 = e3) % 8.74/2.65 | (293) all_0_16_16 = e3 | all_0_20_20 = e3 % 8.74/2.65 | % 8.74/2.65 +-Applying beta-rule and splitting (293), into two cases. % 8.74/2.65 |-Branch one: % 8.74/2.65 | (294) all_0_16_16 = e3 % 8.74/2.65 | % 8.74/2.65 | Equations (294) can reduce 239 to: % 8.74/2.65 | (185) $false % 8.74/2.65 | % 8.74/2.65 |-The branch is then unsatisfiable % 8.74/2.65 |-Branch two: % 8.74/2.65 | (239) ~ (all_0_16_16 = e3) % 8.74/2.65 | (297) all_0_20_20 = e3 % 8.74/2.65 | % 8.74/2.65 | Equations (297) can reduce 281 to: % 8.74/2.65 | (185) $false % 8.74/2.65 | % 8.74/2.65 |-The branch is then unsatisfiable % 8.74/2.65 |-Branch two: % 8.74/2.65 | (270) ~ (all_0_12_12 = e2) % 8.74/2.65 | (300) all_0_16_16 = e2 | all_0_20_20 = e2 % 8.74/2.65 | % 8.74/2.65 +-Applying beta-rule and splitting (65), into two cases. % 8.74/2.65 |-Branch one: % 8.74/2.65 | (289) all_0_12_12 = e3 % 8.74/2.65 | % 8.74/2.65 | Equations (289) can reduce 270 to: % 8.74/2.65 | (39) ~ (e3 = e2) % 8.74/2.65 | % 8.74/2.65 | Equations (289) can reduce 190 to: % 8.74/2.65 | (102) ~ (e3 = e1) % 8.74/2.65 | % 8.74/2.65 +-Applying beta-rule and splitting (138), into two cases. % 8.74/2.65 |-Branch one: % 8.74/2.65 | (267) (all_0_13_13 = e3 & ~ (all_0_12_12 = e2)) | (all_0_18_18 = e3 & ~ (all_0_16_16 = e1)) % 8.74/2.65 | % 8.74/2.65 +-Applying beta-rule and splitting (267), into two cases. % 8.74/2.65 |-Branch one: % 8.74/2.65 | (268) all_0_13_13 = e3 & ~ (all_0_12_12 = e2) % 8.74/2.65 | % 8.74/2.65 | Applying alpha-rule on (268) yields: % 8.74/2.65 | (269) all_0_13_13 = e3 % 8.74/2.65 | (270) ~ (all_0_12_12 = e2) % 8.74/2.65 | % 8.74/2.65 | Combining equations (187,269) yields a new equation: % 8.74/2.65 | (271) e3 = e1 % 8.74/2.65 | % 8.74/2.65 | Equations (271) can reduce 102 to: % 8.74/2.66 | (185) $false % 8.74/2.66 | % 8.74/2.66 |-The branch is then unsatisfiable % 8.74/2.66 |-Branch two: % 8.74/2.66 | (273) all_0_18_18 = e3 & ~ (all_0_16_16 = e1) % 8.74/2.66 | % 8.74/2.66 | Applying alpha-rule on (273) yields: % 8.74/2.66 | (274) all_0_18_18 = e3 % 8.74/2.66 | (275) ~ (all_0_16_16 = e1) % 8.74/2.66 | % 8.74/2.66 | Combining equations (230,274) yields a new equation: % 8.74/2.66 | (276) e3 = e2 % 8.74/2.66 | % 8.74/2.66 | Equations (276) can reduce 39 to: % 8.74/2.66 | (185) $false % 8.74/2.66 | % 8.74/2.66 |-The branch is then unsatisfiable % 8.74/2.66 |-Branch two: % 8.74/2.66 | (278) all_0_23_23 = e3 & ~ (all_0_20_20 = e0) % 8.74/2.66 | % 8.74/2.66 | Applying alpha-rule on (278) yields: % 8.74/2.66 | (279) all_0_23_23 = e3 % 8.74/2.66 | (172) ~ (all_0_20_20 = e0) % 8.74/2.66 | % 8.74/2.66 | Equations (279) can reduce 108 to: % 8.74/2.66 | (281) ~ (all_0_20_20 = e3) % 8.74/2.66 | % 8.74/2.66 | Equations (279) can reduce 219 to: % 8.74/2.66 | (117) ~ (e3 = e0) % 8.74/2.66 | % 8.74/2.66 +-Applying beta-rule and splitting (135), into two cases. % 8.74/2.66 |-Branch one: % 8.74/2.66 | (297) all_0_20_20 = e3 % 8.74/2.66 | % 8.74/2.66 | Equations (297) can reduce 281 to: % 8.74/2.66 | (185) $false % 8.74/2.66 | % 8.74/2.66 |-The branch is then unsatisfiable % 8.74/2.66 |-Branch two: % 8.74/2.66 | (281) ~ (all_0_20_20 = e3) % 8.74/2.66 | (323) all_0_20_20 = e2 | all_0_20_20 = e1 | all_0_20_20 = e0 % 8.74/2.66 | % 8.74/2.66 +-Applying beta-rule and splitting (59), into two cases. % 8.74/2.66 |-Branch one: % 8.74/2.66 | (324) all_0_12_12 = e0 % 8.74/2.66 | % 8.74/2.66 | Combining equations (289,324) yields a new equation: % 8.74/2.66 | (284) e3 = e0 % 8.74/2.66 | % 8.74/2.66 | Simplifying 284 yields: % 8.74/2.66 | (285) e3 = e0 % 8.74/2.66 | % 8.74/2.66 | Equations (285) can reduce 117 to: % 8.74/2.66 | (185) $false % 8.74/2.66 | % 8.74/2.66 |-The branch is then unsatisfiable % 8.74/2.66 |-Branch two: % 8.74/2.66 | (168) ~ (all_0_12_12 = e0) % 8.74/2.66 | (329) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0 % 8.74/2.66 | % 8.74/2.66 | Equations (289) can reduce 168 to: % 8.74/2.66 | (117) ~ (e3 = e0) % 8.74/2.66 | % 8.74/2.66 +-Applying beta-rule and splitting (323), into two cases. % 8.74/2.66 |-Branch one: % 8.74/2.66 | (331) all_0_20_20 = e2 % 8.74/2.66 | % 8.74/2.66 | Equations (331) can reduce 178 to: % 8.74/2.66 | (185) $false % 8.74/2.66 | % 8.74/2.66 |-The branch is then unsatisfiable % 8.74/2.66 |-Branch two: % 8.74/2.66 | (178) ~ (all_0_20_20 = e2) % 8.74/2.66 | (334) all_0_20_20 = e1 | all_0_20_20 = e0 % 8.74/2.66 | % 8.74/2.66 +-Applying beta-rule and splitting (334), into two cases. % 8.74/2.66 |-Branch one: % 8.74/2.66 | (335) all_0_20_20 = e1 % 8.74/2.66 | % 8.74/2.66 | Equations (335) can reduce 172 to: % 8.74/2.66 | (53) ~ (e1 = e0) % 8.74/2.66 | % 8.74/2.66 +-Applying beta-rule and splitting (252), into two cases. % 8.74/2.66 |-Branch one: % 8.74/2.66 | (337) all_0_9_9 = e2 % 8.74/2.66 | % 8.74/2.66 | Equations (337) can reduce 162 to: % 8.74/2.66 | (92) ~ (e2 = e0) % 8.74/2.66 | % 8.74/2.66 +-Applying beta-rule and splitting (73), into two cases. % 8.74/2.66 |-Branch one: % 8.74/2.66 | (339) all_0_16_16 = e0 % 8.74/2.66 | % 8.74/2.66 | Equations (339) can reduce 170 to: % 8.74/2.66 | (185) $false % 8.74/2.66 | % 8.74/2.66 |-The branch is then unsatisfiable % 8.74/2.66 |-Branch two: % 8.74/2.66 | (170) ~ (all_0_16_16 = e0) % 8.74/2.66 | (342) all_0_17_17 = e0 | all_0_18_18 = e0 | all_0_19_19 = e0 % 8.74/2.66 | % 8.74/2.66 +-Applying beta-rule and splitting (329), into two cases. % 8.74/2.66 |-Branch one: % 8.74/2.66 | (205) all_0_13_13 = e0 % 8.74/2.66 | % 8.74/2.66 | Combining equations (187,205) yields a new equation: % 8.74/2.66 | (183) e1 = e0 % 8.74/2.66 | % 8.74/2.66 | Simplifying 183 yields: % 8.74/2.66 | (184) e1 = e0 % 8.74/2.66 | % 8.74/2.66 | Equations (184) can reduce 53 to: % 8.74/2.66 | (185) $false % 8.74/2.66 | % 8.74/2.66 |-The branch is then unsatisfiable % 8.74/2.66 |-Branch two: % 8.74/2.66 | (208) ~ (all_0_13_13 = e0) % 8.74/2.66 | (348) all_0_14_14 = e0 | all_0_15_15 = e0 % 8.74/2.66 | % 8.74/2.66 +-Applying beta-rule and splitting (342), into two cases. % 8.74/2.66 |-Branch one: % 8.74/2.66 | (210) all_0_17_17 = e0 % 8.74/2.66 | % 8.74/2.66 | Combining equations (236,210) yields a new equation: % 8.74/2.66 | (284) e3 = e0 % 8.74/2.66 | % 8.74/2.66 | Simplifying 284 yields: % 8.74/2.66 | (285) e3 = e0 % 8.74/2.66 | % 8.74/2.66 | Equations (285) can reduce 117 to: % 8.74/2.66 | (185) $false % 8.74/2.66 | % 8.74/2.66 |-The branch is then unsatisfiable % 8.74/2.66 |-Branch two: % 8.74/2.66 | (200) ~ (all_0_17_17 = e0) % 8.74/2.66 | (354) all_0_18_18 = e0 | all_0_19_19 = e0 % 8.74/2.66 | % 8.74/2.66 +-Applying beta-rule and splitting (348), into two cases. % 8.74/2.66 |-Branch one: % 8.74/2.66 | (257) all_0_14_14 = e0 % 8.74/2.66 | % 8.74/2.66 | Equations (257) can reduce 248 to: % 8.74/2.66 | (185) $false % 8.74/2.66 | % 8.74/2.66 |-The branch is then unsatisfiable % 8.74/2.66 |-Branch two: % 8.74/2.66 | (248) ~ (all_0_14_14 = e0) % 8.74/2.66 | (358) all_0_15_15 = e0 % 8.74/2.66 | % 8.74/2.66 | Equations (358) can reduce 23 to: % 8.74/2.66 | (359) ~ (all_0_19_19 = e0) % 8.74/2.66 | % 8.74/2.66 | Simplifying 359 yields: % 8.74/2.66 | (360) ~ (all_0_19_19 = e0) % 8.74/2.66 | % 8.74/2.66 +-Applying beta-rule and splitting (354), into two cases. % 8.74/2.66 |-Branch one: % 8.74/2.66 | (361) all_0_18_18 = e0 % 8.74/2.66 | % 8.74/2.66 | Combining equations (230,361) yields a new equation: % 8.74/2.66 | (226) e2 = e0 % 8.74/2.66 | % 8.74/2.66 | Simplifying 226 yields: % 8.74/2.66 | (227) e2 = e0 % 8.74/2.66 | % 8.74/2.66 | Equations (227) can reduce 92 to: % 8.74/2.66 | (185) $false % 8.74/2.66 | % 8.74/2.66 |-The branch is then unsatisfiable % 8.74/2.66 |-Branch two: % 8.74/2.66 | (365) ~ (all_0_18_18 = e0) % 8.74/2.66 | (366) all_0_19_19 = e0 % 8.74/2.66 | % 8.74/2.66 | Equations (366) can reduce 360 to: % 8.74/2.66 | (185) $false % 8.74/2.66 | % 8.74/2.66 |-The branch is then unsatisfiable % 8.74/2.66 |-Branch two: % 8.74/2.66 | (368) ~ (all_0_9_9 = e2) % 8.74/2.66 | (369) all_0_9_9 = e1 | all_0_9_9 = e0 % 8.74/2.66 | % 8.74/2.66 +-Applying beta-rule and splitting (369), into two cases. % 8.74/2.66 |-Branch one: % 8.74/2.66 | (370) all_0_9_9 = e1 % 8.74/2.66 | % 8.74/2.66 | Equations (370) can reduce 189 to: % 8.74/2.66 | (185) $false % 8.74/2.66 | % 8.74/2.66 |-The branch is then unsatisfiable % 8.74/2.66 |-Branch two: % 8.74/2.66 | (189) ~ (all_0_9_9 = e1) % 8.74/2.66 | (201) all_0_9_9 = e0 % 8.74/2.66 | % 8.74/2.66 | Equations (201) can reduce 162 to: % 8.74/2.66 | (185) $false % 8.74/2.66 | % 8.74/2.66 |-The branch is then unsatisfiable % 8.74/2.66 |-Branch two: % 8.74/2.66 | (375) ~ (all_0_20_20 = e1) % 8.74/2.66 | (376) all_0_20_20 = e0 % 8.74/2.66 | % 8.74/2.66 | Equations (376) can reduce 172 to: % 8.74/2.66 | (185) $false % 8.74/2.66 | % 8.74/2.66 |-The branch is then unsatisfiable % 8.74/2.66 |-Branch two: % 8.74/2.66 | (292) ~ (all_0_12_12 = e3) % 8.74/2.66 | (379) all_0_12_12 = e2 | all_0_12_12 = e1 | all_0_12_12 = e0 % 8.74/2.66 | % 8.74/2.66 +-Applying beta-rule and splitting (59), into two cases. % 8.74/2.66 |-Branch one: % 8.74/2.66 | (324) all_0_12_12 = e0 % 8.74/2.66 | % 8.74/2.66 | Equations (324) can reduce 168 to: % 8.74/2.66 | (185) $false % 8.74/2.66 | % 8.74/2.66 |-The branch is then unsatisfiable % 8.74/2.66 |-Branch two: % 8.74/2.66 | (168) ~ (all_0_12_12 = e0) % 8.74/2.66 | (329) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0 % 8.74/2.66 | % 8.74/2.66 +-Applying beta-rule and splitting (329), into two cases. % 8.74/2.66 |-Branch one: % 8.74/2.66 | (205) all_0_13_13 = e0 % 8.74/2.66 | % 8.74/2.66 | Combining equations (187,205) yields a new equation: % 8.74/2.66 | (183) e1 = e0 % 8.74/2.66 | % 8.74/2.66 | Simplifying 183 yields: % 8.74/2.66 | (184) e1 = e0 % 8.74/2.66 | % 8.74/2.66 | Equations (184) can reduce 53 to: % 8.74/2.66 | (185) $false % 8.74/2.66 | % 8.74/2.66 |-The branch is then unsatisfiable % 8.74/2.66 |-Branch two: % 8.74/2.66 | (208) ~ (all_0_13_13 = e0) % 8.74/2.66 | (348) all_0_14_14 = e0 | all_0_15_15 = e0 % 8.74/2.66 | % 8.74/2.66 +-Applying beta-rule and splitting (348), into two cases. % 8.74/2.66 |-Branch one: % 8.74/2.66 | (257) all_0_14_14 = e0 % 8.74/2.66 | % 8.74/2.66 | Equations (257) can reduce 248 to: % 8.74/2.66 | (185) $false % 8.74/2.66 | % 8.74/2.66 |-The branch is then unsatisfiable % 8.74/2.66 |-Branch two: % 8.74/2.66 | (248) ~ (all_0_14_14 = e0) % 8.74/2.66 | (358) all_0_15_15 = e0 % 8.74/2.66 | % 8.74/2.66 | Equations (358) can reduce 15 to: % 8.74/2.66 | (218) ~ (all_0_23_23 = e0) % 8.74/2.66 | % 8.74/2.66 | Simplifying 218 yields: % 8.74/2.66 | (219) ~ (all_0_23_23 = e0) % 8.74/2.66 | % 8.74/2.66 +-Applying beta-rule and splitting (106), into two cases. % 8.74/2.66 |-Branch one: % 8.74/2.66 | (289) all_0_12_12 = e3 % 8.74/2.66 | % 8.74/2.66 | Equations (289) can reduce 292 to: % 8.74/2.66 | (185) $false % 8.74/2.66 | % 8.74/2.66 |-The branch is then unsatisfiable % 8.74/2.66 |-Branch two: % 8.74/2.66 | (292) ~ (all_0_12_12 = e3) % 8.74/2.66 | (399) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3 % 8.74/2.66 | % 8.74/2.66 +-Applying beta-rule and splitting (399), into two cases. % 8.74/2.66 |-Branch one: % 8.74/2.66 | (269) all_0_13_13 = e3 % 8.74/2.66 | % 8.74/2.66 | Combining equations (187,269) yields a new equation: % 8.74/2.66 | (271) e3 = e1 % 8.74/2.66 | % 8.74/2.66 | Equations (271) can reduce 102 to: % 8.74/2.66 | (185) $false % 8.74/2.66 | % 8.74/2.66 |-The branch is then unsatisfiable % 8.74/2.66 |-Branch two: % 8.74/2.66 | (403) ~ (all_0_13_13 = e3) % 8.74/2.66 | (404) all_0_14_14 = e3 | all_0_15_15 = e3 % 8.74/2.66 | % 8.74/2.66 +-Applying beta-rule and splitting (404), into two cases. % 8.74/2.66 |-Branch one: % 8.74/2.66 | (405) all_0_14_14 = e3 % 8.74/2.66 | % 8.74/2.66 | Equations (405) can reduce 123 to: % 8.74/2.66 | (292) ~ (all_0_12_12 = e3) % 8.74/2.66 | % 8.74/2.66 | Equations (405) can reduce 83 to: % 8.74/2.66 | (407) ~ (all_0_22_22 = e3) % 8.74/2.66 | % 8.74/2.66 | Simplifying 407 yields: % 8.74/2.66 | (408) ~ (all_0_22_22 = e3) % 8.74/2.66 | % 8.74/2.66 | Equations (405) can reduce 188 to: % 8.74/2.66 | (39) ~ (e3 = e2) % 8.74/2.66 | % 8.74/2.66 +-Applying beta-rule and splitting (95), into two cases. % 8.74/2.66 |-Branch one: % 8.74/2.66 | (410) all_0_22_22 = e3 % 8.74/2.66 | % 8.74/2.66 | Equations (410) can reduce 408 to: % 8.74/2.66 | (185) $false % 8.74/2.66 | % 8.74/2.66 |-The branch is then unsatisfiable % 8.74/2.66 |-Branch two: % 8.74/2.66 | (408) ~ (all_0_22_22 = e3) % 8.74/2.66 | (413) all_0_22_22 = e2 | all_0_22_22 = e1 | all_0_22_22 = e0 % 8.74/2.66 | % 8.74/2.66 +-Applying beta-rule and splitting (413), into two cases. % 8.74/2.66 |-Branch one: % 8.74/2.66 | (414) all_0_22_22 = e2 % 8.74/2.66 | % 8.74/2.66 | Equations (414) can reduce 235 to: % 8.74/2.66 | (185) $false % 8.74/2.66 | % 8.74/2.66 |-The branch is then unsatisfiable % 8.74/2.66 |-Branch two: % 8.74/2.66 | (235) ~ (all_0_22_22 = e2) % 8.74/2.66 | (417) all_0_22_22 = e1 | all_0_22_22 = e0 % 8.74/2.66 | % 8.74/2.66 +-Applying beta-rule and splitting (417), into two cases. % 8.74/2.66 |-Branch one: % 8.74/2.67 | (418) all_0_22_22 = e1 % 8.74/2.67 | % 8.74/2.67 | Equations (418) can reduce 408 to: % 8.74/2.67 | (419) ~ (e3 = e1) % 8.74/2.67 | % 8.74/2.67 | Simplifying 419 yields: % 8.74/2.67 | (102) ~ (e3 = e1) % 8.74/2.67 | % 8.74/2.67 +-Applying beta-rule and splitting (138), into two cases. % 8.74/2.67 |-Branch one: % 8.74/2.67 | (267) (all_0_13_13 = e3 & ~ (all_0_12_12 = e2)) | (all_0_18_18 = e3 & ~ (all_0_16_16 = e1)) % 8.74/2.67 | % 8.74/2.67 +-Applying beta-rule and splitting (267), into two cases. % 8.74/2.67 |-Branch one: % 8.74/2.67 | (268) all_0_13_13 = e3 & ~ (all_0_12_12 = e2) % 8.74/2.67 | % 8.74/2.67 | Applying alpha-rule on (268) yields: % 8.74/2.67 | (269) all_0_13_13 = e3 % 8.74/2.67 | (270) ~ (all_0_12_12 = e2) % 8.74/2.67 | % 8.74/2.67 | Combining equations (187,269) yields a new equation: % 8.74/2.67 | (271) e3 = e1 % 8.74/2.67 | % 8.74/2.67 | Equations (271) can reduce 102 to: % 8.74/2.67 | (185) $false % 8.74/2.67 | % 8.74/2.67 |-The branch is then unsatisfiable % 8.74/2.67 |-Branch two: % 8.74/2.67 | (273) all_0_18_18 = e3 & ~ (all_0_16_16 = e1) % 8.74/2.67 | % 8.74/2.67 | Applying alpha-rule on (273) yields: % 8.74/2.67 | (274) all_0_18_18 = e3 % 8.74/2.67 | (275) ~ (all_0_16_16 = e1) % 8.74/2.67 | % 8.74/2.67 | Combining equations (274,230) yields a new equation: % 8.74/2.67 | (430) e3 = e2 % 8.74/2.67 | % 8.74/2.67 | Simplifying 430 yields: % 8.74/2.67 | (276) e3 = e2 % 8.74/2.67 | % 8.74/2.67 | Equations (276) can reduce 39 to: % 8.74/2.67 | (185) $false % 8.74/2.67 | % 8.74/2.67 |-The branch is then unsatisfiable % 8.74/2.67 |-Branch two: % 8.74/2.67 | (278) all_0_23_23 = e3 & ~ (all_0_20_20 = e0) % 8.74/2.67 | % 8.74/2.67 | Applying alpha-rule on (278) yields: % 8.74/2.67 | (279) all_0_23_23 = e3 % 8.74/2.67 | (172) ~ (all_0_20_20 = e0) % 8.74/2.67 | % 8.74/2.67 | Equations (279) can reduce 108 to: % 8.74/2.67 | (281) ~ (all_0_20_20 = e3) % 8.74/2.67 | % 8.74/2.67 | Equations (279) can reduce 219 to: % 8.74/2.67 | (117) ~ (e3 = e0) % 8.74/2.67 | % 8.74/2.67 +-Applying beta-rule and splitting (119), into two cases. % 8.74/2.67 |-Branch one: % 8.74/2.67 | (283) all_0_8_8 = e3 % 8.74/2.67 | % 8.74/2.67 | Combining equations (283,159) yields a new equation: % 8.74/2.67 | (284) e3 = e0 % 8.74/2.67 | % 8.74/2.67 | Simplifying 284 yields: % 8.74/2.67 | (285) e3 = e0 % 8.74/2.67 | % 8.74/2.67 | Equations (285) can reduce 117 to: % 8.74/2.67 | (185) $false % 8.74/2.67 | % 8.74/2.67 |-The branch is then unsatisfiable % 8.74/2.67 |-Branch two: % 8.74/2.67 | (287) ~ (all_0_8_8 = e3) % 8.74/2.67 | (288) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3 % 8.74/2.67 | % 8.74/2.67 +-Applying beta-rule and splitting (288), into two cases. % 8.74/2.67 |-Branch one: % 8.74/2.67 | (289) all_0_12_12 = e3 % 8.74/2.67 | % 8.74/2.67 | Equations (289) can reduce 292 to: % 8.74/2.67 | (185) $false % 8.74/2.67 | % 8.74/2.67 |-The branch is then unsatisfiable % 8.74/2.67 |-Branch two: % 8.74/2.67 | (292) ~ (all_0_12_12 = e3) % 8.74/2.67 | (293) all_0_16_16 = e3 | all_0_20_20 = e3 % 8.74/2.67 | % 8.74/2.67 +-Applying beta-rule and splitting (293), into two cases. % 8.74/2.67 |-Branch one: % 8.74/2.67 | (294) all_0_16_16 = e3 % 8.74/2.67 | % 8.74/2.67 | Equations (294) can reduce 239 to: % 8.74/2.67 | (185) $false % 8.74/2.67 | % 8.74/2.67 |-The branch is then unsatisfiable % 8.74/2.67 |-Branch two: % 8.74/2.67 | (239) ~ (all_0_16_16 = e3) % 8.74/2.67 | (297) all_0_20_20 = e3 % 8.74/2.67 | % 8.74/2.67 | Equations (297) can reduce 281 to: % 8.74/2.67 | (185) $false % 8.74/2.67 | % 8.74/2.67 |-The branch is then unsatisfiable % 8.74/2.67 |-Branch two: % 8.74/2.67 | (453) ~ (all_0_22_22 = e1) % 8.74/2.67 | (454) all_0_22_22 = e0 % 8.74/2.67 | % 8.74/2.67 | Equations (454) can reduce 217 to: % 8.74/2.67 | (185) $false % 8.74/2.67 | % 8.74/2.67 |-The branch is then unsatisfiable % 8.74/2.67 |-Branch two: % 8.74/2.67 | (456) ~ (all_0_14_14 = e3) % 8.74/2.67 | (457) all_0_15_15 = e3 % 8.74/2.67 | % 8.74/2.67 | Combining equations (358,457) yields a new equation: % 8.74/2.67 | (285) e3 = e0 % 8.74/2.67 | % 8.74/2.67 | Equations (285) can reduce 117 to: % 8.74/2.67 | (185) $false % 8.74/2.67 | % 8.74/2.67 |-The branch is then unsatisfiable % 8.74/2.67 |-Branch two: % 8.74/2.67 | (460) all_0_5_5 = e0 % 8.74/2.67 | (461) ~ (all_0_13_13 = e1) % 8.74/2.67 | % 8.74/2.67 | Equations (187) can reduce 461 to: % 8.74/2.67 | (185) $false % 8.74/2.67 | % 8.74/2.67 |-The branch is then unsatisfiable % 8.74/2.67 |-Branch two: % 8.74/2.67 | (463) ~ (all_0_17_17 = e3) % 8.74/2.67 | (464) all_0_17_17 = e2 | all_0_17_17 = e1 | all_0_17_17 = e0 % 8.74/2.67 | % 8.74/2.67 +-Applying beta-rule and splitting (464), into two cases. % 8.74/2.67 |-Branch one: % 8.74/2.67 | (465) all_0_17_17 = e2 % 8.74/2.67 | % 8.74/2.67 | Equations (465) can reduce 233 to: % 8.74/2.67 | (185) $false % 8.74/2.67 | % 8.74/2.67 |-The branch is then unsatisfiable % 8.74/2.67 |-Branch two: % 8.74/2.67 | (233) ~ (all_0_17_17 = e2) % 8.74/2.67 | (468) all_0_17_17 = e1 | all_0_17_17 = e0 % 8.74/2.67 | % 8.74/2.67 +-Applying beta-rule and splitting (468), into two cases. % 8.74/2.67 |-Branch one: % 8.74/2.67 | (469) all_0_17_17 = e1 % 8.74/2.67 | % 8.74/2.67 | Equations (469) can reduce 231 to: % 8.74/2.67 | (185) $false % 8.74/2.67 | % 8.74/2.67 |-The branch is then unsatisfiable % 8.74/2.67 |-Branch two: % 8.74/2.67 | (231) ~ (all_0_17_17 = e1) % 8.74/2.67 | (210) all_0_17_17 = e0 % 8.74/2.67 | % 8.74/2.67 | Equations (210) can reduce 200 to: % 8.74/2.67 | (185) $false % 8.74/2.67 | % 8.74/2.67 |-The branch is then unsatisfiable % 8.74/2.67 |-Branch two: % 8.74/2.67 | (474) all_0_23_23 = e2 & ~ (all_0_21_21 = e0) % 8.74/2.67 | % 8.74/2.67 | Applying alpha-rule on (474) yields: % 8.74/2.67 | (475) all_0_23_23 = e2 % 8.74/2.67 | (476) ~ (all_0_21_21 = e0) % 8.74/2.67 | % 8.74/2.67 | Equations (213) can reduce 476 to: % 8.74/2.67 | (185) $false % 8.74/2.67 | % 8.74/2.67 |-The branch is then unsatisfiable % 8.74/2.67 |-Branch two: % 8.74/2.67 | (478) all_0_4_4 = e0 % 8.74/2.67 | (479) ~ (all_0_5_5 = e3) | ~ (all_0_13_13 = e1) % 8.74/2.67 | % 8.74/2.67 | Combining equations (478,198) yields a new equation: % 8.74/2.67 | (210) all_0_17_17 = e0 % 8.74/2.67 | % 8.74/2.67 | Equations (210) can reduce 120 to: % 8.74/2.67 | (359) ~ (all_0_19_19 = e0) % 8.74/2.67 | % 8.74/2.67 | Simplifying 359 yields: % 8.74/2.67 | (360) ~ (all_0_19_19 = e0) % 8.74/2.67 | % 8.74/2.67 +-Applying beta-rule and splitting (479), into two cases. % 8.74/2.67 |-Branch one: % 8.74/2.67 | (483) ~ (all_0_5_5 = e3) % 8.74/2.67 | % 8.74/2.67 | Equations (197) can reduce 483 to: % 8.74/2.67 | (456) ~ (all_0_14_14 = e3) % 8.74/2.67 | % 8.74/2.67 +-Applying beta-rule and splitting (48), into two cases. % 8.74/2.67 |-Branch one: % 8.74/2.67 | (405) all_0_14_14 = e3 % 8.74/2.67 | % 8.74/2.67 | Equations (405) can reduce 456 to: % 8.74/2.67 | (185) $false % 8.74/2.67 | % 8.74/2.67 |-The branch is then unsatisfiable % 8.74/2.67 |-Branch two: % 8.74/2.67 | (456) ~ (all_0_14_14 = e3) % 8.74/2.67 | (488) all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0 % 8.74/2.67 | % 8.74/2.67 +-Applying beta-rule and splitting (488), into two cases. % 8.74/2.67 |-Branch one: % 8.74/2.67 | (489) all_0_14_14 = e2 % 8.74/2.67 | % 8.74/2.67 | Equations (489) can reduce 188 to: % 8.74/2.67 | (185) $false % 8.74/2.67 | % 8.74/2.67 |-The branch is then unsatisfiable % 8.74/2.67 |-Branch two: % 8.74/2.67 | (188) ~ (all_0_14_14 = e2) % 8.74/2.67 | (492) all_0_14_14 = e1 | all_0_14_14 = e0 % 8.74/2.67 | % 8.74/2.67 +-Applying beta-rule and splitting (492), into two cases. % 8.74/2.67 |-Branch one: % 8.74/2.67 | (493) all_0_14_14 = e1 % 8.74/2.67 | % 8.74/2.67 | Equations (493) can reduce 192 to: % 8.74/2.67 | (185) $false % 8.74/2.67 | % 8.74/2.67 |-The branch is then unsatisfiable % 8.74/2.67 |-Branch two: % 8.74/2.67 | (192) ~ (all_0_14_14 = e1) % 8.74/2.67 | (257) all_0_14_14 = e0 % 8.74/2.67 | % 8.74/2.67 | Equations (257) can reduce 20 to: % 8.74/2.67 | (497) ~ (all_0_15_15 = e0) % 8.74/2.67 | % 8.74/2.67 | Simplifying 497 yields: % 8.74/2.67 | (498) ~ (all_0_15_15 = e0) % 8.74/2.67 | % 8.74/2.67 | Equations (257) can reduce 456 to: % 8.74/2.67 | (499) ~ (e3 = e0) % 8.74/2.67 | % 8.74/2.67 | Simplifying 499 yields: % 8.74/2.67 | (117) ~ (e3 = e0) % 8.74/2.67 | % 8.74/2.67 | Equations (257) can reduce 188 to: % 8.74/2.67 | (501) ~ (e2 = e0) % 8.74/2.67 | % 8.74/2.67 | Simplifying 501 yields: % 8.74/2.67 | (92) ~ (e2 = e0) % 8.74/2.67 | % 8.74/2.67 +-Applying beta-rule and splitting (87), into two cases. % 8.74/2.67 |-Branch one: % 8.74/2.67 | (503) all_0_11_11 = e0 % 8.74/2.67 | % 8.74/2.67 | Equations (503) can reduce 166 to: % 8.74/2.67 | (185) $false % 8.74/2.67 | % 8.74/2.67 |-The branch is then unsatisfiable % 8.74/2.67 |-Branch two: % 8.74/2.67 | (166) ~ (all_0_11_11 = e0) % 8.74/2.67 | (506) all_0_15_15 = e0 | all_0_19_19 = e0 | all_0_23_23 = e0 % 8.74/2.67 | % 8.74/2.67 +-Applying beta-rule and splitting (506), into two cases. % 8.74/2.67 |-Branch one: % 8.74/2.67 | (358) all_0_15_15 = e0 % 8.74/2.67 | % 8.74/2.67 | Equations (358) can reduce 498 to: % 8.74/2.67 | (185) $false % 8.74/2.67 | % 8.74/2.67 |-The branch is then unsatisfiable % 8.74/2.67 |-Branch two: % 8.74/2.67 | (498) ~ (all_0_15_15 = e0) % 8.74/2.67 | (510) all_0_19_19 = e0 | all_0_23_23 = e0 % 8.74/2.67 | % 8.74/2.67 +-Applying beta-rule and splitting (510), into two cases. % 8.74/2.67 |-Branch one: % 8.74/2.67 | (366) all_0_19_19 = e0 % 8.74/2.67 | % 8.74/2.67 | Equations (366) can reduce 360 to: % 8.74/2.67 | (185) $false % 8.74/2.67 | % 8.74/2.67 |-The branch is then unsatisfiable % 8.74/2.67 |-Branch two: % 8.74/2.67 | (360) ~ (all_0_19_19 = e0) % 8.74/2.67 | (514) all_0_23_23 = e0 % 8.74/2.67 | % 8.74/2.67 +-Applying beta-rule and splitting (28), into two cases. % 8.74/2.67 |-Branch one: % 8.74/2.67 | (222) (all_0_8_8 = e2 & ~ (all_0_9_9 = e3)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e1)) % 8.74/2.67 | % 8.74/2.67 +-Applying beta-rule and splitting (222), into two cases. % 8.74/2.67 |-Branch one: % 8.74/2.67 | (223) all_0_8_8 = e2 & ~ (all_0_9_9 = e3) % 8.74/2.67 | % 8.74/2.67 | Applying alpha-rule on (223) yields: % 8.74/2.67 | (224) all_0_8_8 = e2 % 8.74/2.67 | (225) ~ (all_0_9_9 = e3) % 8.74/2.67 | % 8.74/2.67 | Combining equations (159,224) yields a new equation: % 8.74/2.67 | (227) e2 = e0 % 8.74/2.67 | % 8.74/2.67 | Equations (227) can reduce 92 to: % 8.74/2.67 | (185) $false % 8.74/2.67 | % 8.74/2.67 |-The branch is then unsatisfiable % 8.74/2.67 |-Branch two: % 8.74/2.68 | (229) all_0_18_18 = e2 & ~ (all_0_17_17 = e1) % 8.74/2.68 | % 8.74/2.68 | Applying alpha-rule on (229) yields: % 8.74/2.68 | (230) all_0_18_18 = e2 % 8.74/2.68 | (231) ~ (all_0_17_17 = e1) % 8.74/2.68 | % 8.74/2.68 +-Applying beta-rule and splitting (138), into two cases. % 8.74/2.68 |-Branch one: % 8.74/2.68 | (267) (all_0_13_13 = e3 & ~ (all_0_12_12 = e2)) | (all_0_18_18 = e3 & ~ (all_0_16_16 = e1)) % 8.74/2.68 | % 8.74/2.68 +-Applying beta-rule and splitting (267), into two cases. % 8.74/2.68 |-Branch one: % 8.74/2.68 | (268) all_0_13_13 = e3 & ~ (all_0_12_12 = e2) % 8.74/2.68 | % 8.74/2.68 | Applying alpha-rule on (268) yields: % 8.74/2.68 | (269) all_0_13_13 = e3 % 8.74/2.68 | (270) ~ (all_0_12_12 = e2) % 8.74/2.68 | % 8.74/2.68 | Combining equations (187,269) yields a new equation: % 8.74/2.68 | (271) e3 = e1 % 8.74/2.68 | % 8.74/2.68 | Equations (271) can reduce 102 to: % 8.74/2.68 | (185) $false % 8.74/2.68 | % 8.74/2.68 |-The branch is then unsatisfiable % 8.74/2.68 |-Branch two: % 8.74/2.68 | (273) all_0_18_18 = e3 & ~ (all_0_16_16 = e1) % 8.74/2.68 | % 8.74/2.68 | Applying alpha-rule on (273) yields: % 8.74/2.68 | (274) all_0_18_18 = e3 % 8.74/2.68 | (275) ~ (all_0_16_16 = e1) % 8.74/2.68 | % 8.74/2.68 | Combining equations (230,274) yields a new equation: % 8.74/2.68 | (276) e3 = e2 % 8.74/2.68 | % 8.74/2.68 | Equations (276) can reduce 39 to: % 8.74/2.68 | (185) $false % 8.74/2.68 | % 8.74/2.68 |-The branch is then unsatisfiable % 8.74/2.68 |-Branch two: % 8.74/2.68 | (278) all_0_23_23 = e3 & ~ (all_0_20_20 = e0) % 8.74/2.68 | % 8.74/2.68 | Applying alpha-rule on (278) yields: % 8.74/2.68 | (279) all_0_23_23 = e3 % 8.74/2.68 | (172) ~ (all_0_20_20 = e0) % 8.74/2.68 | % 8.74/2.68 | Combining equations (279,514) yields a new equation: % 8.74/2.68 | (284) e3 = e0 % 8.74/2.68 | % 8.74/2.68 | Simplifying 284 yields: % 8.74/2.68 | (285) e3 = e0 % 8.74/2.68 | % 8.74/2.68 | Equations (285) can reduce 117 to: % 8.74/2.68 | (185) $false % 8.74/2.68 | % 8.74/2.68 |-The branch is then unsatisfiable % 8.74/2.68 |-Branch two: % 8.74/2.68 | (474) all_0_23_23 = e2 & ~ (all_0_21_21 = e0) % 8.74/2.68 | % 8.74/2.68 | Applying alpha-rule on (474) yields: % 8.74/2.68 | (475) all_0_23_23 = e2 % 8.74/2.68 | (476) ~ (all_0_21_21 = e0) % 8.74/2.68 | % 8.74/2.68 | Combining equations (475,514) yields a new equation: % 8.74/2.68 | (226) e2 = e0 % 8.74/2.68 | % 8.74/2.68 | Simplifying 226 yields: % 8.74/2.68 | (227) e2 = e0 % 8.74/2.68 | % 8.74/2.68 | Equations (227) can reduce 92 to: % 8.74/2.68 | (185) $false % 8.74/2.68 | % 8.74/2.68 |-The branch is then unsatisfiable % 8.74/2.68 |-Branch two: % 8.74/2.68 | (547) all_0_5_5 = e3 % 8.74/2.68 | (461) ~ (all_0_13_13 = e1) % 8.74/2.68 | % 8.74/2.68 | Equations (187) can reduce 461 to: % 8.74/2.68 | (185) $false % 8.74/2.68 | % 8.74/2.68 |-The branch is then unsatisfiable % 8.74/2.68 |-Branch two: % 8.74/2.68 | (550) all_0_23_23 = e1 & ~ (all_0_22_22 = e0) % 8.74/2.68 | % 8.74/2.68 | Applying alpha-rule on (550) yields: % 8.74/2.68 | (551) all_0_23_23 = e1 % 8.74/2.68 | (217) ~ (all_0_22_22 = e0) % 8.74/2.68 | % 8.74/2.68 +-Applying beta-rule and splitting (28), into two cases. % 8.74/2.68 |-Branch one: % 8.74/2.68 | (222) (all_0_8_8 = e2 & ~ (all_0_9_9 = e3)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e1)) % 8.74/2.68 | % 8.74/2.68 +-Applying beta-rule and splitting (222), into two cases. % 8.74/2.68 |-Branch one: % 8.74/2.68 | (223) all_0_8_8 = e2 & ~ (all_0_9_9 = e3) % 8.74/2.68 | % 8.74/2.68 | Applying alpha-rule on (223) yields: % 8.74/2.68 | (224) all_0_8_8 = e2 % 8.74/2.68 | (225) ~ (all_0_9_9 = e3) % 8.74/2.68 | % 8.74/2.68 | Combining equations (159,224) yields a new equation: % 8.74/2.68 | (227) e2 = e0 % 8.74/2.68 | % 8.74/2.68 | Equations (227) can reduce 92 to: % 8.74/2.68 | (185) $false % 8.74/2.68 | % 8.74/2.68 |-The branch is then unsatisfiable % 8.74/2.68 |-Branch two: % 8.74/2.68 | (229) all_0_18_18 = e2 & ~ (all_0_17_17 = e1) % 8.74/2.68 | % 8.74/2.68 | Applying alpha-rule on (229) yields: % 8.74/2.68 | (230) all_0_18_18 = e2 % 8.74/2.68 | (231) ~ (all_0_17_17 = e1) % 8.74/2.68 | % 8.74/2.68 | Equations (230) can reduce 60 to: % 8.74/2.68 | (234) ~ (all_0_22_22 = e2) % 8.74/2.68 | % 8.74/2.68 | Simplifying 234 yields: % 8.74/2.68 | (235) ~ (all_0_22_22 = e2) % 8.74/2.68 | % 8.74/2.68 +-Applying beta-rule and splitting (74), into two cases. % 8.74/2.68 |-Branch one: % 8.74/2.68 | (331) all_0_20_20 = e2 % 8.74/2.68 | % 8.74/2.68 | Equations (331) can reduce 178 to: % 8.74/2.68 | (185) $false % 8.74/2.68 | % 8.74/2.68 |-The branch is then unsatisfiable % 8.74/2.68 |-Branch two: % 8.74/2.68 | (178) ~ (all_0_20_20 = e2) % 8.74/2.68 | (567) all_0_21_21 = e2 | all_0_22_22 = e2 | all_0_23_23 = e2 % 8.74/2.68 | % 8.74/2.68 +-Applying beta-rule and splitting (124), into two cases. % 8.74/2.68 |-Branch one: % 8.74/2.68 | (376) all_0_20_20 = e0 % 8.74/2.68 | % 8.74/2.68 | Equations (376) can reduce 172 to: % 8.74/2.68 | (185) $false % 8.74/2.68 | % 8.74/2.68 |-The branch is then unsatisfiable % 8.74/2.68 |-Branch two: % 8.74/2.68 | (172) ~ (all_0_20_20 = e0) % 8.74/2.68 | (571) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 % 8.74/2.68 | % 8.74/2.68 +-Applying beta-rule and splitting (567), into two cases. % 8.74/2.68 |-Branch one: % 8.74/2.68 | (572) all_0_21_21 = e2 % 8.74/2.68 | % 8.74/2.68 +-Applying beta-rule and splitting (43), into two cases. % 8.74/2.68 |-Branch one: % 8.74/2.68 | (224) all_0_8_8 = e2 % 8.74/2.68 | % 8.74/2.68 | Combining equations (159,224) yields a new equation: % 8.74/2.68 | (227) e2 = e0 % 8.74/2.68 | % 8.74/2.68 | Equations (227) can reduce 92 to: % 8.74/2.68 | (185) $false % 8.74/2.68 | % 8.74/2.68 |-The branch is then unsatisfiable % 8.74/2.68 |-Branch two: % 8.74/2.68 | (264) ~ (all_0_8_8 = e2) % 8.74/2.68 | (265) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2 % 8.74/2.68 | % 8.74/2.68 | Equations (159) can reduce 264 to: % 8.74/2.68 | (501) ~ (e2 = e0) % 8.74/2.68 | % 8.74/2.68 | Simplifying 501 yields: % 8.74/2.68 | (92) ~ (e2 = e0) % 8.74/2.68 | % 8.74/2.68 +-Applying beta-rule and splitting (571), into two cases. % 8.74/2.68 |-Branch one: % 8.74/2.68 | (213) all_0_21_21 = e0 % 8.74/2.68 | % 8.74/2.68 | Combining equations (572,213) yields a new equation: % 8.74/2.68 | (226) e2 = e0 % 8.74/2.68 | % 8.74/2.68 | Simplifying 226 yields: % 8.74/2.68 | (227) e2 = e0 % 8.74/2.68 | % 8.74/2.68 | Equations (227) can reduce 92 to: % 8.74/2.68 | (185) $false % 8.74/2.68 | % 8.74/2.68 |-The branch is then unsatisfiable % 8.74/2.68 |-Branch two: % 8.74/2.68 | (476) ~ (all_0_21_21 = e0) % 8.74/2.68 | (585) all_0_22_22 = e0 | all_0_23_23 = e0 % 8.74/2.68 | % 8.74/2.68 +-Applying beta-rule and splitting (585), into two cases. % 8.74/2.68 |-Branch one: % 8.74/2.68 | (454) all_0_22_22 = e0 % 8.74/2.68 | % 8.74/2.68 | Equations (454) can reduce 217 to: % 8.74/2.68 | (185) $false % 8.74/2.68 | % 8.74/2.68 |-The branch is then unsatisfiable % 8.74/2.68 |-Branch two: % 8.74/2.68 | (217) ~ (all_0_22_22 = e0) % 8.74/2.68 | (514) all_0_23_23 = e0 % 8.74/2.68 | % 8.74/2.68 | Combining equations (514,551) yields a new equation: % 8.74/2.68 | (184) e1 = e0 % 8.74/2.68 | % 8.74/2.68 | Equations (184) can reduce 53 to: % 8.74/2.68 | (185) $false % 8.74/2.68 | % 8.74/2.68 |-The branch is then unsatisfiable % 8.74/2.68 |-Branch two: % 8.74/2.68 | (592) ~ (all_0_21_21 = e2) % 8.74/2.68 | (593) all_0_22_22 = e2 | all_0_23_23 = e2 % 8.74/2.68 | % 8.74/2.68 +-Applying beta-rule and splitting (593), into two cases. % 8.74/2.68 |-Branch one: % 8.74/2.68 | (414) all_0_22_22 = e2 % 8.74/2.68 | % 8.74/2.68 | Equations (414) can reduce 235 to: % 8.74/2.68 | (185) $false % 8.74/2.68 | % 8.74/2.68 |-The branch is then unsatisfiable % 8.74/2.68 |-Branch two: % 8.74/2.68 | (235) ~ (all_0_22_22 = e2) % 8.74/2.68 | (475) all_0_23_23 = e2 % 8.74/2.68 | % 8.74/2.68 | Combining equations (475,551) yields a new equation: % 8.74/2.68 | (598) e2 = e1 % 8.74/2.68 | % 8.74/2.68 | Simplifying 598 yields: % 8.74/2.68 | (599) e2 = e1 % 8.74/2.68 | % 8.74/2.68 | Equations (599) can reduce 81 to: % 8.74/2.68 | (185) $false % 8.74/2.68 | % 8.74/2.68 |-The branch is then unsatisfiable % 8.74/2.68 |-Branch two: % 8.74/2.68 | (474) all_0_23_23 = e2 & ~ (all_0_21_21 = e0) % 8.74/2.68 | % 8.74/2.68 | Applying alpha-rule on (474) yields: % 8.74/2.68 | (475) all_0_23_23 = e2 % 8.74/2.68 | (476) ~ (all_0_21_21 = e0) % 8.74/2.68 | % 8.74/2.68 | Combining equations (475,551) yields a new equation: % 8.74/2.68 | (598) e2 = e1 % 8.74/2.68 | % 8.74/2.68 | Simplifying 598 yields: % 8.74/2.68 | (599) e2 = e1 % 8.74/2.68 | % 8.74/2.68 | Equations (599) can reduce 81 to: % 8.74/2.68 | (185) $false % 8.74/2.68 | % 8.74/2.68 |-The branch is then unsatisfiable % 8.74/2.68 |-Branch two: % 8.74/2.68 | (607) all_0_6_6 = e2 % 8.74/2.68 | (608) ~ (all_0_7_7 = e1) | ~ (all_0_8_8 = e0) % 8.74/2.68 | % 8.74/2.68 | Combining equations (607,176) yields a new equation: % 8.74/2.68 | (331) all_0_20_20 = e2 % 8.74/2.68 | % 8.74/2.68 | Equations (331) can reduce 46 to: % 8.74/2.68 | (610) ~ (all_0_21_21 = e2) % 8.74/2.68 | % 8.74/2.68 | Simplifying 610 yields: % 8.74/2.68 | (592) ~ (all_0_21_21 = e2) % 8.74/2.68 | % 8.74/2.68 | Equations (331) can reduce 108 to: % 8.74/2.68 | (612) ~ (all_0_23_23 = e2) % 8.74/2.68 | % 8.74/2.68 | Simplifying 612 yields: % 8.74/2.68 | (613) ~ (all_0_23_23 = e2) % 8.74/2.68 | % 8.74/2.68 | Equations (331) can reduce 172 to: % 8.74/2.68 | (92) ~ (e2 = e0) % 8.74/2.68 | % 8.74/2.68 +-Applying beta-rule and splitting (28), into two cases. % 8.74/2.68 |-Branch one: % 8.74/2.68 | (222) (all_0_8_8 = e2 & ~ (all_0_9_9 = e3)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e1)) % 8.74/2.68 | % 8.74/2.68 +-Applying beta-rule and splitting (222), into two cases. % 8.74/2.68 |-Branch one: % 8.74/2.68 | (223) all_0_8_8 = e2 & ~ (all_0_9_9 = e3) % 8.74/2.68 | % 8.74/2.68 | Applying alpha-rule on (223) yields: % 8.74/2.68 | (224) all_0_8_8 = e2 % 8.74/2.68 | (225) ~ (all_0_9_9 = e3) % 8.74/2.68 | % 8.74/2.68 | Combining equations (159,224) yields a new equation: % 8.74/2.68 | (227) e2 = e0 % 8.74/2.68 | % 8.74/2.68 | Equations (227) can reduce 92 to: % 8.74/2.69 | (185) $false % 8.74/2.69 | % 8.74/2.69 |-The branch is then unsatisfiable % 8.74/2.69 |-Branch two: % 8.74/2.69 | (229) all_0_18_18 = e2 & ~ (all_0_17_17 = e1) % 8.74/2.69 | % 8.74/2.69 | Applying alpha-rule on (229) yields: % 8.74/2.69 | (230) all_0_18_18 = e2 % 8.74/2.69 | (231) ~ (all_0_17_17 = e1) % 8.74/2.69 | % 8.74/2.69 | Equations (230) can reduce 143 to: % 8.74/2.69 | (233) ~ (all_0_17_17 = e2) % 8.74/2.69 | % 8.74/2.69 +-Applying beta-rule and splitting (608), into two cases. % 8.74/2.69 |-Branch one: % 8.74/2.69 | (625) ~ (all_0_7_7 = e1) % 8.74/2.69 | % 8.74/2.69 | Equations (175) can reduce 625 to: % 8.74/2.69 | (626) ~ (all_0_11_11 = e1) % 8.74/2.69 | % 8.74/2.69 +-Applying beta-rule and splitting (54), into two cases. % 8.74/2.69 |-Branch one: % 8.74/2.69 | (627) all_0_11_11 = e3 % 8.74/2.69 | % 8.74/2.69 | Equations (627) can reduce 160 to: % 8.74/2.69 | (185) $false % 8.74/2.69 | % 8.74/2.69 |-The branch is then unsatisfiable % 8.74/2.69 |-Branch two: % 8.74/2.69 | (160) ~ (all_0_11_11 = e3) % 8.74/2.69 | (630) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0 % 8.74/2.69 | % 8.74/2.69 +-Applying beta-rule and splitting (630), into two cases. % 8.74/2.69 |-Branch one: % 8.74/2.69 | (631) all_0_11_11 = e2 % 8.74/2.69 | % 8.74/2.69 | Equations (631) can reduce 137 to: % 8.74/2.69 | (368) ~ (all_0_9_9 = e2) % 8.74/2.69 | % 8.74/2.69 | Equations (631) can reduce 160 to: % 8.74/2.69 | (633) ~ (e3 = e2) % 8.74/2.69 | % 8.74/2.69 | Simplifying 633 yields: % 8.74/2.69 | (39) ~ (e3 = e2) % 8.74/2.69 | % 8.74/2.69 | Equations (631) can reduce 626 to: % 8.74/2.69 | (81) ~ (e2 = e1) % 8.74/2.69 | % 8.74/2.69 +-Applying beta-rule and splitting (30), into two cases. % 8.74/2.69 |-Branch one: % 8.74/2.69 | (337) all_0_9_9 = e2 % 8.74/2.69 | % 8.74/2.69 | Equations (337) can reduce 368 to: % 8.74/2.69 | (185) $false % 8.74/2.69 | % 8.74/2.69 |-The branch is then unsatisfiable % 8.74/2.69 |-Branch two: % 8.74/2.69 | (368) ~ (all_0_9_9 = e2) % 8.74/2.69 | (639) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2 % 8.74/2.69 | % 8.74/2.69 +-Applying beta-rule and splitting (639), into two cases. % 8.74/2.69 |-Branch one: % 8.74/2.69 | (640) all_0_13_13 = e2 % 8.74/2.69 | % 8.74/2.69 +-Applying beta-rule and splitting (91), into two cases. % 8.74/2.69 |-Branch one: % 8.74/2.69 | (179) (all_0_8_8 = e1 & ~ (all_0_10_10 = e3)) | (all_0_13_13 = e1 & ~ (all_0_14_14 = e2)) % 8.74/2.69 | % 8.74/2.69 +-Applying beta-rule and splitting (179), into two cases. % 8.74/2.69 |-Branch one: % 8.74/2.69 | (180) all_0_8_8 = e1 & ~ (all_0_10_10 = e3) % 8.74/2.69 | % 8.74/2.69 | Applying alpha-rule on (180) yields: % 8.74/2.69 | (181) all_0_8_8 = e1 % 8.74/2.69 | (182) ~ (all_0_10_10 = e3) % 8.74/2.69 | % 8.74/2.69 | Combining equations (159,181) yields a new equation: % 8.74/2.69 | (184) e1 = e0 % 8.74/2.69 | % 8.74/2.69 | Equations (184) can reduce 53 to: % 8.74/2.69 | (185) $false % 8.74/2.69 | % 8.74/2.69 |-The branch is then unsatisfiable % 8.74/2.69 |-Branch two: % 8.74/2.69 | (186) all_0_13_13 = e1 & ~ (all_0_14_14 = e2) % 8.74/2.69 | % 8.74/2.69 | Applying alpha-rule on (186) yields: % 8.74/2.69 | (187) all_0_13_13 = e1 % 8.74/2.69 | (188) ~ (all_0_14_14 = e2) % 8.74/2.69 | % 8.74/2.69 | Combining equations (187,640) yields a new equation: % 8.74/2.69 | (599) e2 = e1 % 8.74/2.69 | % 8.74/2.69 | Equations (599) can reduce 81 to: % 8.74/2.69 | (185) $false % 8.74/2.69 | % 8.74/2.69 |-The branch is then unsatisfiable % 8.74/2.69 |-Branch two: % 8.74/2.69 | (550) all_0_23_23 = e1 & ~ (all_0_22_22 = e0) % 8.74/2.69 | % 8.74/2.69 | Applying alpha-rule on (550) yields: % 8.74/2.69 | (551) all_0_23_23 = e1 % 8.74/2.69 | (217) ~ (all_0_22_22 = e0) % 8.74/2.69 | % 8.74/2.69 +-Applying beta-rule and splitting (138), into two cases. % 8.74/2.69 |-Branch one: % 8.74/2.69 | (267) (all_0_13_13 = e3 & ~ (all_0_12_12 = e2)) | (all_0_18_18 = e3 & ~ (all_0_16_16 = e1)) % 8.74/2.69 | % 8.74/2.69 +-Applying beta-rule and splitting (267), into two cases. % 8.74/2.69 |-Branch one: % 8.74/2.69 | (268) all_0_13_13 = e3 & ~ (all_0_12_12 = e2) % 8.74/2.69 | % 8.74/2.69 | Applying alpha-rule on (268) yields: % 8.74/2.69 | (269) all_0_13_13 = e3 % 8.74/2.69 | (270) ~ (all_0_12_12 = e2) % 8.74/2.69 | % 8.74/2.69 | Combining equations (640,269) yields a new equation: % 8.74/2.69 | (276) e3 = e2 % 8.74/2.69 | % 8.74/2.69 | Equations (276) can reduce 39 to: % 8.74/2.69 | (185) $false % 8.74/2.69 | % 8.74/2.69 |-The branch is then unsatisfiable % 8.74/2.69 |-Branch two: % 8.74/2.69 | (273) all_0_18_18 = e3 & ~ (all_0_16_16 = e1) % 8.74/2.69 | % 8.74/2.69 | Applying alpha-rule on (273) yields: % 8.74/2.69 | (274) all_0_18_18 = e3 % 8.74/2.69 | (275) ~ (all_0_16_16 = e1) % 8.74/2.69 | % 8.74/2.69 | Combining equations (230,274) yields a new equation: % 8.74/2.69 | (276) e3 = e2 % 8.74/2.69 | % 8.74/2.69 | Equations (276) can reduce 39 to: % 8.74/2.69 | (185) $false % 8.74/2.69 | % 8.74/2.69 |-The branch is then unsatisfiable % 8.74/2.69 |-Branch two: % 8.74/2.69 | (278) all_0_23_23 = e3 & ~ (all_0_20_20 = e0) % 8.74/2.69 | % 8.74/2.69 | Applying alpha-rule on (278) yields: % 8.74/2.69 | (279) all_0_23_23 = e3 % 8.74/2.69 | (172) ~ (all_0_20_20 = e0) % 8.74/2.69 | % 8.74/2.69 | Combining equations (279,551) yields a new equation: % 8.74/2.69 | (669) e3 = e1 % 8.74/2.69 | % 8.74/2.69 | Simplifying 669 yields: % 8.74/2.69 | (271) e3 = e1 % 8.74/2.69 | % 8.74/2.69 | Equations (271) can reduce 102 to: % 8.74/2.69 | (185) $false % 8.74/2.69 | % 8.74/2.69 |-The branch is then unsatisfiable % 8.74/2.69 |-Branch two: % 8.74/2.69 | (672) ~ (all_0_13_13 = e2) % 8.74/2.69 | (673) all_0_17_17 = e2 | all_0_21_21 = e2 % 8.74/2.69 | % 8.74/2.69 +-Applying beta-rule and splitting (673), into two cases. % 8.74/2.69 |-Branch one: % 8.74/2.69 | (465) all_0_17_17 = e2 % 8.74/2.69 | % 8.74/2.69 | Equations (465) can reduce 233 to: % 8.74/2.69 | (185) $false % 8.74/2.69 | % 8.74/2.69 |-The branch is then unsatisfiable % 8.74/2.69 |-Branch two: % 8.74/2.69 | (233) ~ (all_0_17_17 = e2) % 8.74/2.69 | (572) all_0_21_21 = e2 % 8.74/2.69 | % 8.74/2.69 | Equations (572) can reduce 592 to: % 8.74/2.69 | (185) $false % 8.74/2.69 | % 8.74/2.69 |-The branch is then unsatisfiable % 8.74/2.69 |-Branch two: % 8.74/2.69 | (679) ~ (all_0_11_11 = e2) % 8.74/2.69 | (680) all_0_11_11 = e1 | all_0_11_11 = e0 % 8.74/2.69 | % 8.74/2.69 +-Applying beta-rule and splitting (680), into two cases. % 8.74/2.69 |-Branch one: % 8.74/2.69 | (681) all_0_11_11 = e1 % 8.74/2.69 | % 8.74/2.69 | Equations (681) can reduce 626 to: % 8.74/2.69 | (185) $false % 8.74/2.69 | % 8.74/2.69 |-The branch is then unsatisfiable % 8.74/2.69 |-Branch two: % 8.74/2.69 | (626) ~ (all_0_11_11 = e1) % 8.74/2.69 | (503) all_0_11_11 = e0 % 8.74/2.69 | % 8.74/2.69 | Equations (503) can reduce 166 to: % 8.74/2.69 | (185) $false % 8.74/2.69 | % 8.74/2.69 |-The branch is then unsatisfiable % 8.74/2.69 |-Branch two: % 8.74/2.69 | (686) all_0_7_7 = e1 % 8.74/2.69 | (687) ~ (all_0_8_8 = e0) % 8.74/2.69 | % 8.74/2.69 | Equations (159) can reduce 687 to: % 8.74/2.69 | (185) $false % 8.74/2.69 | % 8.74/2.69 |-The branch is then unsatisfiable % 8.74/2.69 |-Branch two: % 8.74/2.69 | (474) all_0_23_23 = e2 & ~ (all_0_21_21 = e0) % 8.74/2.69 | % 8.74/2.69 | Applying alpha-rule on (474) yields: % 8.74/2.69 | (475) all_0_23_23 = e2 % 8.74/2.69 | (476) ~ (all_0_21_21 = e0) % 8.74/2.69 | % 8.74/2.69 | Equations (475) can reduce 613 to: % 8.74/2.69 | (185) $false % 8.74/2.69 | % 8.74/2.69 |-The branch is then unsatisfiable % 8.74/2.69 |-Branch two: % 8.74/2.69 | (693) all_0_13_13 = e0 & ~ (all_0_15_15 = e2) % 8.74/2.69 | % 8.74/2.69 | Applying alpha-rule on (693) yields: % 8.74/2.69 | (205) all_0_13_13 = e0 % 8.74/2.69 | (695) ~ (all_0_15_15 = e2) % 8.74/2.69 | % 8.74/2.69 | Equations (205) can reduce 33 to: % 8.74/2.69 | (168) ~ (all_0_12_12 = e0) % 8.74/2.69 | % 8.74/2.69 | Equations (205) can reduce 97 to: % 8.74/2.69 | (697) ~ (all_0_14_14 = e0) % 8.74/2.69 | % 8.74/2.69 | Simplifying 697 yields: % 8.74/2.69 | (248) ~ (all_0_14_14 = e0) % 8.74/2.69 | % 8.74/2.69 | Equations (205) can reduce 101 to: % 8.74/2.69 | (497) ~ (all_0_15_15 = e0) % 8.74/2.69 | % 8.74/2.69 | Simplifying 497 yields: % 8.74/2.69 | (498) ~ (all_0_15_15 = e0) % 8.74/2.69 | % 8.74/2.69 | Equations (205) can reduce 90 to: % 8.74/2.69 | (701) ~ (all_0_17_17 = e0) % 8.74/2.69 | % 8.74/2.69 | Simplifying 701 yields: % 8.74/2.69 | (200) ~ (all_0_17_17 = e0) % 8.74/2.69 | % 8.74/2.69 | Equations (205) can reduce 34 to: % 8.74/2.69 | (703) ~ (all_0_21_21 = e0) % 8.74/2.69 | % 8.74/2.69 | Simplifying 703 yields: % 8.74/2.69 | (476) ~ (all_0_21_21 = e0) % 8.74/2.69 | % 8.74/2.69 | From (205) and (58) follows: % 8.74/2.69 | (705) op(e0, e2) = all_0_4_4 % 9.17/2.69 | % 9.17/2.69 | From (205) and (100) follows: % 9.17/2.69 | (706) op(e2, e0) = all_0_5_5 % 9.17/2.69 | % 9.17/2.69 | Instantiating formula (44) with e2, e0, all_0_5_5, all_0_15_15 and discharging atoms op(e2, e0) = all_0_5_5, op(e2, e0) = all_0_15_15, yields: % 9.17/2.69 | (707) all_0_5_5 = all_0_15_15 % 9.17/2.69 | % 9.17/2.69 | Instantiating formula (44) with e0, e2, all_0_4_4, all_0_21_21 and discharging atoms op(e0, e2) = all_0_4_4, op(e0, e2) = all_0_21_21, yields: % 9.17/2.70 | (708) all_0_4_4 = all_0_21_21 % 9.17/2.70 | % 9.17/2.70 +-Applying beta-rule and splitting (144), into two cases. % 9.17/2.70 |-Branch one: % 9.17/2.70 | (243) ~ (all_0_4_4 = e3) % 9.17/2.70 | % 9.17/2.70 | Equations (708) can reduce 243 to: % 9.17/2.70 | (710) ~ (all_0_21_21 = e3) % 9.17/2.70 | % 9.17/2.70 +-Applying beta-rule and splitting (91), into two cases. % 9.17/2.70 |-Branch one: % 9.17/2.70 | (179) (all_0_8_8 = e1 & ~ (all_0_10_10 = e3)) | (all_0_13_13 = e1 & ~ (all_0_14_14 = e2)) % 9.17/2.70 | % 9.17/2.70 +-Applying beta-rule and splitting (179), into two cases. % 9.17/2.70 |-Branch one: % 9.17/2.70 | (180) all_0_8_8 = e1 & ~ (all_0_10_10 = e3) % 9.17/2.70 | % 9.17/2.70 | Applying alpha-rule on (180) yields: % 9.17/2.70 | (181) all_0_8_8 = e1 % 9.17/2.70 | (182) ~ (all_0_10_10 = e3) % 9.17/2.70 | % 9.17/2.70 | Equations (181) can reduce 12 to: % 9.17/2.70 | (715) ~ (all_0_9_9 = e1) % 9.17/2.70 | % 9.17/2.70 | Simplifying 715 yields: % 9.17/2.70 | (189) ~ (all_0_9_9 = e1) % 9.17/2.70 | % 9.17/2.70 | Equations (181) can reduce 109 to: % 9.17/2.70 | (717) ~ (all_0_10_10 = e1) % 9.17/2.70 | % 9.17/2.70 | Simplifying 717 yields: % 9.17/2.70 | (718) ~ (all_0_10_10 = e1) % 9.17/2.70 | % 9.17/2.70 | Equations (181) can reduce 155 to: % 9.17/2.70 | (719) ~ (all_0_11_11 = e1) % 9.17/2.70 | % 9.17/2.70 | Simplifying 719 yields: % 9.17/2.70 | (626) ~ (all_0_11_11 = e1) % 9.17/2.70 | % 9.17/2.70 | Equations (181) can reduce 103 to: % 9.17/2.70 | (721) ~ (all_0_20_20 = e1) % 9.17/2.70 | % 9.17/2.70 | Simplifying 721 yields: % 9.17/2.70 | (375) ~ (all_0_20_20 = e1) % 9.17/2.70 | % 9.17/2.70 +-Applying beta-rule and splitting (113), into two cases. % 9.17/2.70 |-Branch one: % 9.17/2.70 | (723) ~ (all_0_4_4 = e1) % 9.17/2.70 | % 9.17/2.70 | Equations (708) can reduce 723 to: % 9.17/2.70 | (194) ~ (all_0_21_21 = e1) % 9.17/2.70 | % 9.17/2.70 +-Applying beta-rule and splitting (55), into two cases. % 9.17/2.70 |-Branch one: % 9.17/2.70 | (370) all_0_9_9 = e1 % 9.17/2.70 | % 9.17/2.70 | Equations (370) can reduce 189 to: % 9.17/2.70 | (185) $false % 9.17/2.70 | % 9.17/2.70 |-The branch is then unsatisfiable % 9.17/2.70 |-Branch two: % 9.17/2.70 | (189) ~ (all_0_9_9 = e1) % 9.17/2.70 | (728) all_0_13_13 = e1 | all_0_17_17 = e1 | all_0_21_21 = e1 % 9.17/2.70 | % 9.17/2.70 +-Applying beta-rule and splitting (86), into two cases. % 9.17/2.70 |-Branch one: % 9.17/2.70 | (729) all_0_21_21 = e3 % 9.17/2.70 | % 9.17/2.70 | Equations (729) can reduce 710 to: % 9.17/2.70 | (185) $false % 9.17/2.70 | % 9.17/2.70 |-The branch is then unsatisfiable % 9.17/2.70 |-Branch two: % 9.17/2.70 | (710) ~ (all_0_21_21 = e3) % 9.17/2.70 | (732) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0 % 9.17/2.70 | % 9.17/2.70 +-Applying beta-rule and splitting (728), into two cases. % 9.17/2.70 |-Branch one: % 9.17/2.70 | (187) all_0_13_13 = e1 % 9.17/2.70 | % 9.17/2.70 | Combining equations (187,205) yields a new equation: % 9.17/2.70 | (183) e1 = e0 % 9.17/2.70 | % 9.17/2.70 | Simplifying 183 yields: % 9.17/2.70 | (184) e1 = e0 % 9.17/2.70 | % 9.17/2.70 | Equations (184) can reduce 53 to: % 9.17/2.70 | (185) $false % 9.17/2.70 | % 9.17/2.70 |-The branch is then unsatisfiable % 9.17/2.70 |-Branch two: % 9.17/2.70 | (461) ~ (all_0_13_13 = e1) % 9.17/2.70 | (738) all_0_17_17 = e1 | all_0_21_21 = e1 % 9.17/2.70 | % 9.17/2.70 +-Applying beta-rule and splitting (738), into two cases. % 9.17/2.70 |-Branch one: % 9.17/2.70 | (469) all_0_17_17 = e1 % 9.17/2.70 | % 9.17/2.70 | Equations (469) can reduce 134 to: % 9.17/2.70 | (189) ~ (all_0_9_9 = e1) % 9.17/2.70 | % 9.17/2.70 | Equations (469) can reduce 120 to: % 9.17/2.70 | (741) ~ (all_0_19_19 = e1) % 9.17/2.70 | % 9.17/2.70 | Simplifying 741 yields: % 9.17/2.70 | (742) ~ (all_0_19_19 = e1) % 9.17/2.70 | % 9.17/2.70 | Equations (469) can reduce 49 to: % 9.17/2.70 | (193) ~ (all_0_21_21 = e1) % 9.17/2.70 | % 9.17/2.70 | Simplifying 193 yields: % 9.17/2.70 | (194) ~ (all_0_21_21 = e1) % 9.17/2.70 | % 9.17/2.70 | Equations (469) can reduce 200 to: % 9.17/2.70 | (53) ~ (e1 = e0) % 9.17/2.70 | % 9.17/2.70 +-Applying beta-rule and splitting (28), into two cases. % 9.17/2.70 |-Branch one: % 9.17/2.70 | (222) (all_0_8_8 = e2 & ~ (all_0_9_9 = e3)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e1)) % 9.17/2.70 | % 9.17/2.70 +-Applying beta-rule and splitting (222), into two cases. % 9.17/2.70 |-Branch one: % 9.17/2.70 | (223) all_0_8_8 = e2 & ~ (all_0_9_9 = e3) % 9.17/2.70 | % 9.17/2.70 | Applying alpha-rule on (223) yields: % 9.17/2.70 | (224) all_0_8_8 = e2 % 9.17/2.70 | (225) ~ (all_0_9_9 = e3) % 9.17/2.70 | % 9.17/2.70 | Combining equations (224,181) yields a new equation: % 9.17/2.70 | (598) e2 = e1 % 9.17/2.70 | % 9.17/2.70 | Simplifying 598 yields: % 9.17/2.70 | (599) e2 = e1 % 9.17/2.70 | % 9.17/2.70 | Equations (599) can reduce 81 to: % 9.17/2.70 | (185) $false % 9.17/2.70 | % 9.17/2.70 |-The branch is then unsatisfiable % 9.17/2.70 |-Branch two: % 9.17/2.70 | (229) all_0_18_18 = e2 & ~ (all_0_17_17 = e1) % 9.17/2.70 | % 9.17/2.70 | Applying alpha-rule on (229) yields: % 9.17/2.70 | (230) all_0_18_18 = e2 % 9.17/2.70 | (231) ~ (all_0_17_17 = e1) % 9.17/2.70 | % 9.17/2.70 | Equations (469) can reduce 231 to: % 9.17/2.70 | (185) $false % 9.17/2.70 | % 9.17/2.70 |-The branch is then unsatisfiable % 9.17/2.70 |-Branch two: % 9.17/2.70 | (474) all_0_23_23 = e2 & ~ (all_0_21_21 = e0) % 9.17/2.70 | % 9.17/2.70 | Applying alpha-rule on (474) yields: % 9.17/2.70 | (475) all_0_23_23 = e2 % 9.17/2.70 | (476) ~ (all_0_21_21 = e0) % 9.17/2.70 | % 9.17/2.70 | Equations (475) can reduce 139 to: % 9.17/2.70 | (760) ~ (all_0_19_19 = e2) % 9.17/2.70 | % 9.17/2.70 | Equations (475) can reduce 108 to: % 9.17/2.70 | (178) ~ (all_0_20_20 = e2) % 9.17/2.70 | % 9.17/2.70 | Equations (475) can reduce 69 to: % 9.17/2.70 | (592) ~ (all_0_21_21 = e2) % 9.17/2.70 | % 9.17/2.70 | Equations (475) can reduce 99 to: % 9.17/2.70 | (235) ~ (all_0_22_22 = e2) % 9.17/2.70 | % 9.17/2.70 +-Applying beta-rule and splitting (128), into two cases. % 9.17/2.70 |-Branch one: % 9.17/2.70 | (681) all_0_11_11 = e1 % 9.17/2.70 | % 9.17/2.70 | Equations (681) can reduce 626 to: % 9.17/2.70 | (185) $false % 9.17/2.70 | % 9.17/2.70 |-The branch is then unsatisfiable % 9.17/2.70 |-Branch two: % 9.17/2.70 | (626) ~ (all_0_11_11 = e1) % 9.17/2.70 | (767) all_0_15_15 = e1 | all_0_19_19 = e1 | all_0_23_23 = e1 % 9.17/2.70 | % 9.17/2.70 +-Applying beta-rule and splitting (94), into two cases. % 9.17/2.70 |-Branch one: % 9.17/2.70 | (335) all_0_20_20 = e1 % 9.17/2.70 | % 9.17/2.70 | Equations (335) can reduce 375 to: % 9.17/2.70 | (185) $false % 9.17/2.70 | % 9.17/2.70 |-The branch is then unsatisfiable % 9.17/2.70 |-Branch two: % 9.17/2.70 | (375) ~ (all_0_20_20 = e1) % 9.17/2.70 | (771) all_0_21_21 = e1 | all_0_22_22 = e1 | all_0_23_23 = e1 % 9.17/2.70 | % 9.17/2.70 +-Applying beta-rule and splitting (771), into two cases. % 9.17/2.70 |-Branch one: % 9.17/2.70 | (772) all_0_21_21 = e1 % 9.17/2.70 | % 9.17/2.70 | Equations (772) can reduce 194 to: % 9.17/2.70 | (185) $false % 9.17/2.70 | % 9.17/2.70 |-The branch is then unsatisfiable % 9.17/2.70 |-Branch two: % 9.17/2.70 | (194) ~ (all_0_21_21 = e1) % 9.17/2.70 | (775) all_0_22_22 = e1 | all_0_23_23 = e1 % 9.17/2.70 | % 9.17/2.70 +-Applying beta-rule and splitting (775), into two cases. % 9.17/2.70 |-Branch one: % 9.17/2.70 | (418) all_0_22_22 = e1 % 9.17/2.70 | % 9.17/2.70 | Equations (418) can reduce 132 to: % 9.17/2.70 | (718) ~ (all_0_10_10 = e1) % 9.17/2.70 | % 9.17/2.70 | Equations (418) can reduce 83 to: % 9.17/2.70 | (192) ~ (all_0_14_14 = e1) % 9.17/2.70 | % 9.17/2.70 | Equations (418) can reduce 60 to: % 9.17/2.70 | (779) ~ (all_0_18_18 = e1) % 9.17/2.70 | % 9.17/2.70 | Equations (418) can reduce 66 to: % 9.17/2.70 | (375) ~ (all_0_20_20 = e1) % 9.17/2.70 | % 9.17/2.70 | Equations (418) can reduce 235 to: % 9.17/2.70 | (781) ~ (e2 = e1) % 9.17/2.70 | % 9.17/2.70 | Simplifying 781 yields: % 9.17/2.70 | (81) ~ (e2 = e1) % 9.17/2.70 | % 9.17/2.70 +-Applying beta-rule and splitting (41), into two cases. % 9.17/2.70 |-Branch one: % 9.17/2.70 | (297) all_0_20_20 = e3 % 9.17/2.70 | % 9.17/2.70 | Equations (297) can reduce 178 to: % 9.17/2.70 | (39) ~ (e3 = e2) % 9.17/2.70 | % 9.17/2.70 +-Applying beta-rule and splitting (138), into two cases. % 9.17/2.70 |-Branch one: % 9.17/2.70 | (267) (all_0_13_13 = e3 & ~ (all_0_12_12 = e2)) | (all_0_18_18 = e3 & ~ (all_0_16_16 = e1)) % 9.17/2.70 | % 9.17/2.70 +-Applying beta-rule and splitting (267), into two cases. % 9.17/2.70 |-Branch one: % 9.17/2.70 | (268) all_0_13_13 = e3 & ~ (all_0_12_12 = e2) % 9.17/2.70 | % 9.17/2.70 | Applying alpha-rule on (268) yields: % 9.17/2.70 | (269) all_0_13_13 = e3 % 9.17/2.70 | (270) ~ (all_0_12_12 = e2) % 9.17/2.70 | % 9.17/2.70 | Combining equations (205,269) yields a new equation: % 9.17/2.70 | (285) e3 = e0 % 9.17/2.70 | % 9.17/2.70 | Equations (285) can reduce 117 to: % 9.17/2.70 | (185) $false % 9.17/2.70 | % 9.17/2.70 |-The branch is then unsatisfiable % 9.17/2.70 |-Branch two: % 9.17/2.70 | (273) all_0_18_18 = e3 & ~ (all_0_16_16 = e1) % 9.17/2.70 | % 9.17/2.70 | Applying alpha-rule on (273) yields: % 9.17/2.70 | (274) all_0_18_18 = e3 % 9.17/2.70 | (275) ~ (all_0_16_16 = e1) % 9.17/2.70 | % 9.17/2.70 | Equations (274) can reduce 104 to: % 9.17/2.70 | (182) ~ (all_0_10_10 = e3) % 9.17/2.70 | % 9.17/2.70 | Equations (274) can reduce 42 to: % 9.17/2.70 | (456) ~ (all_0_14_14 = e3) % 9.17/2.70 | % 9.17/2.70 | Equations (274) can reduce 127 to: % 9.17/2.70 | (796) ~ (all_0_19_19 = e3) % 9.17/2.70 | % 9.17/2.71 | Simplifying 796 yields: % 9.17/2.71 | (797) ~ (all_0_19_19 = e3) % 9.17/2.71 | % 9.17/2.71 | Equations (274) can reduce 779 to: % 9.17/2.71 | (102) ~ (e3 = e1) % 9.17/2.71 | % 9.17/2.71 +-Applying beta-rule and splitting (45), into two cases. % 9.17/2.71 |-Branch one: % 9.17/2.71 | (799) all_0_19_19 = e3 % 9.17/2.71 | % 9.17/2.71 | Equations (799) can reduce 797 to: % 9.17/2.71 | (185) $false % 9.17/2.71 | % 9.17/2.71 |-The branch is then unsatisfiable % 9.17/2.71 |-Branch two: % 9.17/2.71 | (797) ~ (all_0_19_19 = e3) % 9.17/2.71 | (802) all_0_19_19 = e2 | all_0_19_19 = e1 | all_0_19_19 = e0 % 9.17/2.71 | % 9.17/2.71 +-Applying beta-rule and splitting (802), into two cases. % 9.17/2.71 |-Branch one: % 9.17/2.71 | (803) all_0_19_19 = e2 % 9.17/2.71 | % 9.17/2.71 | Equations (803) can reduce 760 to: % 9.17/2.71 | (185) $false % 9.17/2.71 | % 9.17/2.71 |-The branch is then unsatisfiable % 9.17/2.71 |-Branch two: % 9.17/2.71 | (760) ~ (all_0_19_19 = e2) % 9.17/2.71 | (806) all_0_19_19 = e1 | all_0_19_19 = e0 % 9.17/2.71 | % 9.17/2.71 +-Applying beta-rule and splitting (30), into two cases. % 9.17/2.71 |-Branch one: % 9.17/2.71 | (337) all_0_9_9 = e2 % 9.17/2.71 | % 9.17/2.71 +-Applying beta-rule and splitting (24), into two cases. % 9.17/2.71 |-Branch one: % 9.17/2.71 | (283) all_0_8_8 = e3 % 9.17/2.71 | % 9.17/2.71 | Combining equations (283,181) yields a new equation: % 9.17/2.71 | (669) e3 = e1 % 9.17/2.71 | % 9.17/2.71 | Simplifying 669 yields: % 9.17/2.71 | (271) e3 = e1 % 9.17/2.71 | % 9.17/2.71 | Equations (271) can reduce 102 to: % 9.17/2.71 | (185) $false % 9.17/2.71 | % 9.17/2.71 |-The branch is then unsatisfiable % 9.17/2.71 |-Branch two: % 9.17/2.71 | (287) ~ (all_0_8_8 = e3) % 9.17/2.71 | (813) all_0_9_9 = e3 | all_0_10_10 = e3 | all_0_11_11 = e3 % 9.17/2.71 | % 9.17/2.71 +-Applying beta-rule and splitting (813), into two cases. % 9.17/2.71 |-Branch one: % 9.17/2.71 | (249) all_0_9_9 = e3 % 9.17/2.71 | % 9.17/2.71 | Combining equations (337,249) yields a new equation: % 9.17/2.71 | (276) e3 = e2 % 9.17/2.71 | % 9.17/2.71 | Equations (276) can reduce 39 to: % 9.17/2.71 | (185) $false % 9.17/2.71 | % 9.17/2.71 |-The branch is then unsatisfiable % 9.17/2.71 |-Branch two: % 9.17/2.71 | (225) ~ (all_0_9_9 = e3) % 9.17/2.71 | (818) all_0_10_10 = e3 | all_0_11_11 = e3 % 9.17/2.71 | % 9.17/2.71 +-Applying beta-rule and splitting (818), into two cases. % 9.17/2.71 |-Branch one: % 9.17/2.71 | (819) all_0_10_10 = e3 % 9.17/2.71 | % 9.17/2.71 | Equations (819) can reduce 182 to: % 9.17/2.71 | (185) $false % 9.17/2.71 | % 9.17/2.71 |-The branch is then unsatisfiable % 9.17/2.71 |-Branch two: % 9.17/2.71 | (182) ~ (all_0_10_10 = e3) % 9.17/2.71 | (627) all_0_11_11 = e3 % 9.17/2.71 | % 9.17/2.71 | Equations (627) can reduce 14 to: % 9.17/2.71 | (182) ~ (all_0_10_10 = e3) % 9.17/2.71 | % 9.17/2.71 | Equations (627) can reduce 131 to: % 9.17/2.71 | (796) ~ (all_0_19_19 = e3) % 9.17/2.71 | % 9.17/2.71 | Simplifying 796 yields: % 9.17/2.71 | (797) ~ (all_0_19_19 = e3) % 9.17/2.71 | % 9.17/2.71 +-Applying beta-rule and splitting (806), into two cases. % 9.17/2.71 |-Branch one: % 9.17/2.71 | (826) all_0_19_19 = e1 % 9.17/2.71 | % 9.17/2.71 | Equations (826) can reduce 742 to: % 9.17/2.71 | (185) $false % 9.17/2.71 | % 9.17/2.71 |-The branch is then unsatisfiable % 9.17/2.71 |-Branch two: % 9.17/2.71 | (742) ~ (all_0_19_19 = e1) % 9.17/2.71 | (366) all_0_19_19 = e0 % 9.17/2.71 | % 9.17/2.71 | Equations (366) can reduce 13 to: % 9.17/2.71 | (170) ~ (all_0_16_16 = e0) % 9.17/2.71 | % 9.17/2.71 | Equations (366) can reduce 797 to: % 9.17/2.71 | (499) ~ (e3 = e0) % 9.17/2.71 | % 9.17/2.71 | Simplifying 499 yields: % 9.17/2.71 | (117) ~ (e3 = e0) % 9.17/2.71 | % 9.17/2.71 | Equations (366) can reduce 742 to: % 9.17/2.71 | (220) ~ (e1 = e0) % 9.17/2.71 | % 9.17/2.71 | Simplifying 220 yields: % 9.17/2.71 | (53) ~ (e1 = e0) % 9.17/2.71 | % 9.17/2.71 +-Applying beta-rule and splitting (48), into two cases. % 9.17/2.71 |-Branch one: % 9.17/2.71 | (405) all_0_14_14 = e3 % 9.17/2.71 | % 9.17/2.71 | Equations (405) can reduce 456 to: % 9.17/2.71 | (185) $false % 9.17/2.71 | % 9.17/2.71 |-The branch is then unsatisfiable % 9.17/2.71 |-Branch two: % 9.17/2.71 | (456) ~ (all_0_14_14 = e3) % 9.17/2.71 | (488) all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0 % 9.17/2.71 | % 9.17/2.71 +-Applying beta-rule and splitting (488), into two cases. % 9.17/2.71 |-Branch one: % 9.17/2.71 | (489) all_0_14_14 = e2 % 9.17/2.71 | % 9.17/2.71 | Equations (489) can reduce 248 to: % 9.17/2.71 | (92) ~ (e2 = e0) % 9.17/2.71 | % 9.17/2.71 +-Applying beta-rule and splitting (96), into two cases. % 9.17/2.71 |-Branch one: % 9.17/2.71 | (159) all_0_8_8 = e0 % 9.17/2.71 | % 9.17/2.71 | Combining equations (181,159) yields a new equation: % 9.17/2.71 | (183) e1 = e0 % 9.17/2.71 | % 9.17/2.71 | Simplifying 183 yields: % 9.17/2.71 | (184) e1 = e0 % 9.17/2.71 | % 9.17/2.71 | Equations (184) can reduce 53 to: % 9.17/2.71 | (185) $false % 9.17/2.71 | % 9.17/2.71 |-The branch is then unsatisfiable % 9.17/2.71 |-Branch two: % 9.17/2.71 | (687) ~ (all_0_8_8 = e0) % 9.17/2.71 | (846) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0 % 9.17/2.71 | % 9.17/2.71 +-Applying beta-rule and splitting (79), into two cases. % 9.17/2.71 |-Branch one: % 9.17/2.71 | (819) all_0_10_10 = e3 % 9.17/2.71 | % 9.17/2.71 | Equations (819) can reduce 182 to: % 9.17/2.71 | (185) $false % 9.17/2.71 | % 9.17/2.71 |-The branch is then unsatisfiable % 9.17/2.71 |-Branch two: % 9.17/2.71 | (182) ~ (all_0_10_10 = e3) % 9.17/2.71 | (850) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0 % 9.17/2.71 | % 9.17/2.71 +-Applying beta-rule and splitting (846), into two cases. % 9.17/2.71 |-Branch one: % 9.17/2.71 | (201) all_0_9_9 = e0 % 9.17/2.71 | % 9.17/2.71 | Combining equations (337,201) yields a new equation: % 9.17/2.71 | (226) e2 = e0 % 9.17/2.71 | % 9.17/2.71 | Simplifying 226 yields: % 9.17/2.71 | (227) e2 = e0 % 9.17/2.71 | % 9.17/2.71 | Equations (227) can reduce 92 to: % 9.17/2.71 | (185) $false % 9.17/2.71 | % 9.17/2.71 |-The branch is then unsatisfiable % 9.17/2.71 |-Branch two: % 9.17/2.71 | (162) ~ (all_0_9_9 = e0) % 9.17/2.71 | (856) all_0_10_10 = e0 | all_0_11_11 = e0 % 9.17/2.71 | % 9.17/2.71 +-Applying beta-rule and splitting (856), into two cases. % 9.17/2.71 |-Branch one: % 9.17/2.71 | (253) all_0_10_10 = e0 % 9.17/2.71 | % 9.17/2.71 | Equations (253) can reduce 182 to: % 9.17/2.71 | (499) ~ (e3 = e0) % 9.17/2.71 | % 9.17/2.71 | Simplifying 499 yields: % 9.17/2.71 | (117) ~ (e3 = e0) % 9.17/2.71 | % 9.17/2.71 | Equations (253) can reduce 718 to: % 9.17/2.71 | (220) ~ (e1 = e0) % 9.17/2.71 | % 9.17/2.71 | Simplifying 220 yields: % 9.17/2.71 | (53) ~ (e1 = e0) % 9.17/2.71 | % 9.17/2.71 +-Applying beta-rule and splitting (146), into two cases. % 9.17/2.71 |-Branch one: % 9.17/2.71 | (159) all_0_8_8 = e0 % 9.17/2.71 | % 9.17/2.71 | Combining equations (181,159) yields a new equation: % 9.17/2.71 | (183) e1 = e0 % 9.17/2.71 | % 9.17/2.71 | Simplifying 183 yields: % 9.17/2.71 | (184) e1 = e0 % 9.17/2.71 | % 9.17/2.71 | Equations (184) can reduce 53 to: % 9.17/2.71 | (185) $false % 9.17/2.71 | % 9.17/2.71 |-The branch is then unsatisfiable % 9.17/2.71 |-Branch two: % 9.17/2.71 | (687) ~ (all_0_8_8 = e0) % 9.17/2.71 | (867) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0 % 9.17/2.71 | % 9.17/2.71 +-Applying beta-rule and splitting (867), into two cases. % 9.17/2.71 |-Branch one: % 9.17/2.71 | (324) all_0_12_12 = e0 % 9.17/2.71 | % 9.17/2.71 | Equations (324) can reduce 168 to: % 9.17/2.71 | (185) $false % 9.17/2.71 | % 9.17/2.71 |-The branch is then unsatisfiable % 9.17/2.71 |-Branch two: % 9.17/2.71 | (168) ~ (all_0_12_12 = e0) % 9.17/2.71 | (871) all_0_16_16 = e0 | all_0_20_20 = e0 % 9.17/2.71 | % 9.17/2.71 +-Applying beta-rule and splitting (871), into two cases. % 9.17/2.71 |-Branch one: % 9.17/2.71 | (339) all_0_16_16 = e0 % 9.17/2.71 | % 9.17/2.71 | Equations (339) can reduce 170 to: % 9.17/2.71 | (185) $false % 9.17/2.71 | % 9.17/2.71 |-The branch is then unsatisfiable % 9.17/2.71 |-Branch two: % 9.17/2.71 | (170) ~ (all_0_16_16 = e0) % 9.17/2.71 | (376) all_0_20_20 = e0 % 9.17/2.71 | % 9.17/2.71 | Combining equations (376,297) yields a new equation: % 9.17/2.71 | (285) e3 = e0 % 9.17/2.71 | % 9.17/2.71 | Equations (285) can reduce 117 to: % 9.17/2.71 | (185) $false % 9.17/2.71 | % 9.17/2.71 |-The branch is then unsatisfiable % 9.17/2.71 |-Branch two: % 9.17/2.71 | (164) ~ (all_0_10_10 = e0) % 9.17/2.71 | (503) all_0_11_11 = e0 % 9.17/2.71 | % 9.17/2.71 | Combining equations (627,503) yields a new equation: % 9.17/2.71 | (284) e3 = e0 % 9.17/2.71 | % 9.17/2.71 | Simplifying 284 yields: % 9.17/2.71 | (285) e3 = e0 % 9.17/2.71 | % 9.17/2.71 | Equations (285) can reduce 117 to: % 9.17/2.71 | (185) $false % 9.17/2.71 | % 9.17/2.71 |-The branch is then unsatisfiable % 9.17/2.71 |-Branch two: % 9.17/2.71 | (188) ~ (all_0_14_14 = e2) % 9.17/2.71 | (492) all_0_14_14 = e1 | all_0_14_14 = e0 % 9.17/2.71 | % 9.17/2.71 +-Applying beta-rule and splitting (492), into two cases. % 9.17/2.71 |-Branch one: % 9.17/2.71 | (493) all_0_14_14 = e1 % 9.17/2.71 | % 9.17/2.71 | Equations (493) can reduce 192 to: % 9.17/2.71 | (185) $false % 9.17/2.71 | % 9.17/2.71 |-The branch is then unsatisfiable % 9.17/2.71 |-Branch two: % 9.17/2.71 | (192) ~ (all_0_14_14 = e1) % 9.17/2.71 | (257) all_0_14_14 = e0 % 9.17/2.71 | % 9.17/2.71 | Equations (257) can reduce 248 to: % 9.17/2.71 | (185) $false % 9.17/2.71 | % 9.17/2.71 |-The branch is then unsatisfiable % 9.17/2.72 |-Branch two: % 9.17/2.72 | (368) ~ (all_0_9_9 = e2) % 9.17/2.72 | (639) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2 % 9.17/2.72 | % 9.17/2.72 +-Applying beta-rule and splitting (639), into two cases. % 9.17/2.72 |-Branch one: % 9.17/2.72 | (640) all_0_13_13 = e2 % 9.17/2.72 | % 9.17/2.72 | Combining equations (205,640) yields a new equation: % 9.17/2.72 | (227) e2 = e0 % 9.17/2.72 | % 9.17/2.72 | Equations (227) can reduce 92 to: % 9.17/2.72 | (185) $false % 9.17/2.72 | % 9.17/2.72 |-The branch is then unsatisfiable % 9.17/2.72 |-Branch two: % 9.17/2.72 | (672) ~ (all_0_13_13 = e2) % 9.17/2.72 | (673) all_0_17_17 = e2 | all_0_21_21 = e2 % 9.17/2.72 | % 9.17/2.72 +-Applying beta-rule and splitting (673), into two cases. % 9.17/2.72 |-Branch one: % 9.17/2.72 | (465) all_0_17_17 = e2 % 9.17/2.72 | % 9.17/2.72 | Combining equations (469,465) yields a new equation: % 9.17/2.72 | (599) e2 = e1 % 9.17/2.72 | % 9.17/2.72 | Equations (599) can reduce 81 to: % 9.17/2.72 | (185) $false % 9.17/2.72 | % 9.17/2.72 |-The branch is then unsatisfiable % 9.17/2.72 |-Branch two: % 9.17/2.72 | (233) ~ (all_0_17_17 = e2) % 9.17/2.72 | (572) all_0_21_21 = e2 % 9.17/2.72 | % 9.17/2.72 | Equations (572) can reduce 592 to: % 9.17/2.72 | (185) $false % 9.17/2.72 | % 9.17/2.72 |-The branch is then unsatisfiable % 9.17/2.72 |-Branch two: % 9.17/2.72 | (278) all_0_23_23 = e3 & ~ (all_0_20_20 = e0) % 9.17/2.72 | % 9.17/2.72 | Applying alpha-rule on (278) yields: % 9.17/2.72 | (279) all_0_23_23 = e3 % 9.17/2.72 | (172) ~ (all_0_20_20 = e0) % 9.17/2.72 | % 9.17/2.72 | Combining equations (279,475) yields a new equation: % 9.17/2.72 | (430) e3 = e2 % 9.17/2.72 | % 9.17/2.72 | Simplifying 430 yields: % 9.17/2.72 | (276) e3 = e2 % 9.17/2.72 | % 9.17/2.72 | Equations (276) can reduce 39 to: % 9.17/2.72 | (185) $false % 9.17/2.72 | % 9.17/2.72 |-The branch is then unsatisfiable % 9.17/2.72 |-Branch two: % 9.17/2.72 | (281) ~ (all_0_20_20 = e3) % 9.17/2.72 | (910) all_0_21_21 = e3 | all_0_22_22 = e3 | all_0_23_23 = e3 % 9.17/2.72 | % 9.17/2.72 +-Applying beta-rule and splitting (767), into two cases. % 9.17/2.72 |-Branch one: % 9.17/2.72 | (911) all_0_15_15 = e1 % 9.17/2.72 | % 9.17/2.72 | Equations (911) can reduce 498 to: % 9.17/2.72 | (53) ~ (e1 = e0) % 9.17/2.72 | % 9.17/2.72 +-Applying beta-rule and splitting (4), into two cases. % 9.17/2.72 |-Branch one: % 9.17/2.72 | (249) all_0_9_9 = e3 % 9.17/2.72 | % 9.17/2.72 | Equations (249) can reduce 137 to: % 9.17/2.72 | (914) ~ (all_0_11_11 = e3) % 9.17/2.72 | % 9.17/2.72 | Simplifying 914 yields: % 9.17/2.72 | (160) ~ (all_0_11_11 = e3) % 9.17/2.72 | % 9.17/2.72 | Equations (249) can reduce 189 to: % 9.17/2.72 | (102) ~ (e3 = e1) % 9.17/2.72 | % 9.17/2.72 +-Applying beta-rule and splitting (124), into two cases. % 9.17/2.72 |-Branch one: % 9.17/2.72 | (376) all_0_20_20 = e0 % 9.17/2.72 | % 9.17/2.72 | Equations (376) can reduce 281 to: % 9.17/2.72 | (499) ~ (e3 = e0) % 9.17/2.72 | % 9.17/2.72 | Simplifying 499 yields: % 9.17/2.72 | (117) ~ (e3 = e0) % 9.17/2.72 | % 9.17/2.72 +-Applying beta-rule and splitting (93), into two cases. % 9.17/2.72 |-Branch one: % 9.17/2.72 | (627) all_0_11_11 = e3 % 9.17/2.72 | % 9.17/2.72 | Equations (627) can reduce 160 to: % 9.17/2.72 | (185) $false % 9.17/2.72 | % 9.17/2.72 |-The branch is then unsatisfiable % 9.17/2.72 |-Branch two: % 9.17/2.72 | (160) ~ (all_0_11_11 = e3) % 9.17/2.72 | (923) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3 % 9.17/2.72 | % 9.17/2.72 +-Applying beta-rule and splitting (923), into two cases. % 9.17/2.72 |-Branch one: % 9.17/2.72 | (457) all_0_15_15 = e3 % 9.17/2.72 | % 9.17/2.72 | Combining equations (911,457) yields a new equation: % 9.17/2.72 | (271) e3 = e1 % 9.17/2.72 | % 9.17/2.72 | Equations (271) can reduce 102 to: % 9.17/2.72 | (185) $false % 9.17/2.72 | % 9.17/2.72 |-The branch is then unsatisfiable % 9.17/2.72 |-Branch two: % 9.17/2.72 | (927) ~ (all_0_15_15 = e3) % 9.17/2.72 | (928) all_0_19_19 = e3 | all_0_23_23 = e3 % 9.17/2.72 | % 9.17/2.72 +-Applying beta-rule and splitting (928), into two cases. % 9.17/2.72 |-Branch one: % 9.17/2.72 | (799) all_0_19_19 = e3 % 9.17/2.72 | % 9.17/2.72 | Equations (799) can reduce 127 to: % 9.17/2.72 | (930) ~ (all_0_18_18 = e3) % 9.17/2.72 | % 9.17/2.72 | Equations (799) can reduce 760 to: % 9.17/2.72 | (39) ~ (e3 = e2) % 9.17/2.72 | % 9.17/2.72 +-Applying beta-rule and splitting (138), into two cases. % 9.17/2.72 |-Branch one: % 9.17/2.72 | (267) (all_0_13_13 = e3 & ~ (all_0_12_12 = e2)) | (all_0_18_18 = e3 & ~ (all_0_16_16 = e1)) % 9.17/2.72 | % 9.17/2.72 +-Applying beta-rule and splitting (267), into two cases. % 9.17/2.72 |-Branch one: % 9.17/2.72 | (268) all_0_13_13 = e3 & ~ (all_0_12_12 = e2) % 9.17/2.72 | % 9.17/2.72 | Applying alpha-rule on (268) yields: % 9.17/2.72 | (269) all_0_13_13 = e3 % 9.17/2.72 | (270) ~ (all_0_12_12 = e2) % 9.17/2.72 | % 9.17/2.72 | Combining equations (205,269) yields a new equation: % 9.17/2.72 | (285) e3 = e0 % 9.17/2.72 | % 9.17/2.72 | Equations (285) can reduce 117 to: % 9.17/2.72 | (185) $false % 9.17/2.72 | % 9.17/2.72 |-The branch is then unsatisfiable % 9.17/2.72 |-Branch two: % 9.17/2.72 | (273) all_0_18_18 = e3 & ~ (all_0_16_16 = e1) % 9.17/2.72 | % 9.17/2.72 | Applying alpha-rule on (273) yields: % 9.17/2.72 | (274) all_0_18_18 = e3 % 9.17/2.72 | (275) ~ (all_0_16_16 = e1) % 9.17/2.72 | % 9.17/2.72 | Equations (274) can reduce 930 to: % 9.17/2.72 | (185) $false % 9.17/2.72 | % 9.17/2.72 |-The branch is then unsatisfiable % 9.17/2.72 |-Branch two: % 9.17/2.72 | (278) all_0_23_23 = e3 & ~ (all_0_20_20 = e0) % 9.17/2.72 | % 9.17/2.72 | Applying alpha-rule on (278) yields: % 9.17/2.72 | (279) all_0_23_23 = e3 % 9.17/2.72 | (172) ~ (all_0_20_20 = e0) % 9.17/2.72 | % 9.17/2.72 | Combining equations (279,475) yields a new equation: % 9.17/2.72 | (430) e3 = e2 % 9.17/2.72 | % 9.17/2.72 | Simplifying 430 yields: % 9.17/2.72 | (276) e3 = e2 % 9.17/2.72 | % 9.17/2.72 | Equations (276) can reduce 39 to: % 9.17/2.72 | (185) $false % 9.17/2.72 | % 9.17/2.72 |-The branch is then unsatisfiable % 9.17/2.72 |-Branch two: % 9.17/2.72 | (797) ~ (all_0_19_19 = e3) % 9.17/2.72 | (279) all_0_23_23 = e3 % 9.17/2.72 | % 9.17/2.72 | Combining equations (475,279) yields a new equation: % 9.17/2.72 | (276) e3 = e2 % 9.17/2.72 | % 9.17/2.72 | Equations (276) can reduce 39 to: % 9.17/2.72 | (185) $false % 9.17/2.72 | % 9.17/2.72 |-The branch is then unsatisfiable % 9.17/2.72 |-Branch two: % 9.17/2.72 | (172) ~ (all_0_20_20 = e0) % 9.17/2.72 | (571) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 % 9.17/2.72 | % 9.17/2.72 +-Applying beta-rule and splitting (571), into two cases. % 9.17/2.72 |-Branch one: % 9.17/2.72 | (213) all_0_21_21 = e0 % 9.17/2.72 | % 9.17/2.72 | Equations (213) can reduce 476 to: % 9.17/2.72 | (185) $false % 9.17/2.72 | % 9.17/2.72 |-The branch is then unsatisfiable % 9.17/2.72 |-Branch two: % 9.17/2.72 | (476) ~ (all_0_21_21 = e0) % 9.17/2.72 | (585) all_0_22_22 = e0 | all_0_23_23 = e0 % 9.17/2.72 | % 9.17/2.72 +-Applying beta-rule and splitting (585), into two cases. % 9.17/2.72 |-Branch one: % 9.17/2.72 | (454) all_0_22_22 = e0 % 9.17/2.72 | % 9.17/2.72 | Combining equations (454,418) yields a new equation: % 9.17/2.72 | (184) e1 = e0 % 9.17/2.72 | % 9.17/2.72 | Equations (184) can reduce 53 to: % 9.17/2.72 | (185) $false % 9.17/2.72 | % 9.17/2.72 |-The branch is then unsatisfiable % 9.17/2.72 |-Branch two: % 9.17/2.72 | (217) ~ (all_0_22_22 = e0) % 9.17/2.72 | (514) all_0_23_23 = e0 % 9.17/2.72 | % 9.17/2.72 | Combining equations (475,514) yields a new equation: % 9.17/2.72 | (226) e2 = e0 % 9.17/2.72 | % 9.17/2.72 | Simplifying 226 yields: % 9.17/2.72 | (227) e2 = e0 % 9.17/2.72 | % 9.17/2.72 | Equations (227) can reduce 92 to: % 9.17/2.72 | (185) $false % 9.17/2.72 | % 9.17/2.72 |-The branch is then unsatisfiable % 9.17/2.72 |-Branch two: % 9.17/2.72 | (225) ~ (all_0_9_9 = e3) % 9.17/2.72 | (967) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3 % 9.17/2.72 | % 9.17/2.72 +-Applying beta-rule and splitting (967), into two cases. % 9.17/2.72 |-Branch one: % 9.17/2.72 | (269) all_0_13_13 = e3 % 9.17/2.72 | % 9.17/2.72 | Combining equations (205,269) yields a new equation: % 9.17/2.72 | (285) e3 = e0 % 9.17/2.72 | % 9.17/2.72 | Equations (285) can reduce 117 to: % 9.17/2.72 | (185) $false % 9.17/2.72 | % 9.17/2.72 |-The branch is then unsatisfiable % 9.17/2.72 |-Branch two: % 9.17/2.72 | (403) ~ (all_0_13_13 = e3) % 9.17/2.72 | (972) all_0_17_17 = e3 | all_0_21_21 = e3 % 9.17/2.72 | % 9.17/2.72 +-Applying beta-rule and splitting (972), into two cases. % 9.17/2.72 |-Branch one: % 9.17/2.72 | (236) all_0_17_17 = e3 % 9.17/2.72 | % 9.17/2.72 | Combining equations (236,469) yields a new equation: % 9.17/2.72 | (669) e3 = e1 % 9.17/2.72 | % 9.17/2.72 | Simplifying 669 yields: % 9.17/2.72 | (271) e3 = e1 % 9.17/2.72 | % 9.17/2.72 | Equations (271) can reduce 102 to: % 9.17/2.72 | (185) $false % 9.17/2.72 | % 9.17/2.72 |-The branch is then unsatisfiable % 9.17/2.72 |-Branch two: % 9.17/2.72 | (463) ~ (all_0_17_17 = e3) % 9.17/2.72 | (729) all_0_21_21 = e3 % 9.17/2.72 | % 9.17/2.72 | Equations (729) can reduce 710 to: % 9.17/2.72 | (185) $false % 9.17/2.72 | % 9.17/2.72 |-The branch is then unsatisfiable % 9.17/2.73 |-Branch two: % 9.17/2.73 | (980) ~ (all_0_15_15 = e1) % 9.17/2.73 | (981) all_0_19_19 = e1 | all_0_23_23 = e1 % 9.17/2.73 | % 9.17/2.73 +-Applying beta-rule and splitting (124), into two cases. % 9.17/2.73 |-Branch one: % 9.17/2.73 | (376) all_0_20_20 = e0 % 9.17/2.73 | % 9.17/2.73 | Equations (376) can reduce 122 to: % 9.17/2.73 | (168) ~ (all_0_12_12 = e0) % 9.17/2.73 | % 9.17/2.73 | Equations (376) can reduce 281 to: % 9.17/2.73 | (499) ~ (e3 = e0) % 9.17/2.73 | % 9.17/2.73 | Simplifying 499 yields: % 9.17/2.73 | (117) ~ (e3 = e0) % 9.17/2.73 | % 9.17/2.73 | Equations (376) can reduce 375 to: % 9.17/2.73 | (220) ~ (e1 = e0) % 9.17/2.73 | % 9.17/2.73 | Simplifying 220 yields: % 9.17/2.73 | (53) ~ (e1 = e0) % 9.17/2.73 | % 9.17/2.73 +-Applying beta-rule and splitting (138), into two cases. % 9.17/2.73 |-Branch one: % 9.17/2.73 | (267) (all_0_13_13 = e3 & ~ (all_0_12_12 = e2)) | (all_0_18_18 = e3 & ~ (all_0_16_16 = e1)) % 9.17/2.73 | % 9.17/2.73 +-Applying beta-rule and splitting (267), into two cases. % 9.17/2.73 |-Branch one: % 9.17/2.73 | (268) all_0_13_13 = e3 & ~ (all_0_12_12 = e2) % 9.17/2.73 | % 9.17/2.73 | Applying alpha-rule on (268) yields: % 9.17/2.73 | (269) all_0_13_13 = e3 % 9.17/2.73 | (270) ~ (all_0_12_12 = e2) % 9.17/2.73 | % 9.17/2.73 | Combining equations (205,269) yields a new equation: % 9.17/2.73 | (285) e3 = e0 % 9.17/2.73 | % 9.17/2.73 | Equations (285) can reduce 117 to: % 9.17/2.73 | (185) $false % 9.17/2.73 | % 9.17/2.73 |-The branch is then unsatisfiable % 9.17/2.73 |-Branch two: % 9.17/2.73 | (273) all_0_18_18 = e3 & ~ (all_0_16_16 = e1) % 9.17/2.73 | % 9.17/2.73 | Applying alpha-rule on (273) yields: % 9.17/2.73 | (274) all_0_18_18 = e3 % 9.17/2.73 | (275) ~ (all_0_16_16 = e1) % 9.17/2.73 | % 9.17/2.73 | Equations (274) can reduce 42 to: % 9.17/2.73 | (456) ~ (all_0_14_14 = e3) % 9.17/2.73 | % 9.17/2.73 | Equations (274) can reduce 118 to: % 9.17/2.73 | (239) ~ (all_0_16_16 = e3) % 9.17/2.73 | % 9.17/2.73 | Equations (274) can reduce 779 to: % 9.17/2.73 | (102) ~ (e3 = e1) % 9.17/2.73 | % 9.17/2.73 +-Applying beta-rule and splitting (48), into two cases. % 9.17/2.73 |-Branch one: % 9.17/2.73 | (405) all_0_14_14 = e3 % 9.17/2.73 | % 9.17/2.73 | Equations (405) can reduce 456 to: % 9.17/2.73 | (185) $false % 9.17/2.73 | % 9.17/2.73 |-The branch is then unsatisfiable % 9.17/2.73 |-Branch two: % 9.17/2.73 | (456) ~ (all_0_14_14 = e3) % 9.17/2.73 | (488) all_0_14_14 = e2 | all_0_14_14 = e1 | all_0_14_14 = e0 % 9.17/2.73 | % 9.17/2.73 +-Applying beta-rule and splitting (488), into two cases. % 9.17/2.73 |-Branch one: % 9.17/2.73 | (489) all_0_14_14 = e2 % 9.17/2.73 | % 9.17/2.73 | Equations (489) can reduce 72 to: % 9.17/2.73 | (1005) ~ (all_0_10_10 = e2) % 9.17/2.73 | % 9.17/2.73 | Equations (489) can reduce 192 to: % 9.17/2.73 | (81) ~ (e2 = e1) % 9.17/2.73 | % 9.17/2.73 | Equations (489) can reduce 248 to: % 9.17/2.73 | (92) ~ (e2 = e0) % 9.17/2.73 | % 9.17/2.73 +-Applying beta-rule and splitting (88), into two cases. % 9.17/2.73 |-Branch one: % 9.17/2.73 | (253) all_0_10_10 = e0 % 9.17/2.73 | % 9.17/2.73 | Equations (253) can reduce 14 to: % 9.17/2.73 | (165) ~ (all_0_11_11 = e0) % 9.17/2.73 | % 9.17/2.73 | Simplifying 165 yields: % 9.17/2.73 | (166) ~ (all_0_11_11 = e0) % 9.17/2.73 | % 9.17/2.73 | Equations (253) can reduce 1005 to: % 9.17/2.73 | (501) ~ (e2 = e0) % 9.17/2.73 | % 9.17/2.73 | Simplifying 501 yields: % 9.17/2.73 | (92) ~ (e2 = e0) % 9.17/2.73 | % 9.17/2.73 +-Applying beta-rule and splitting (87), into two cases. % 9.17/2.73 |-Branch one: % 9.17/2.73 | (503) all_0_11_11 = e0 % 9.17/2.73 | % 9.17/2.73 | Equations (503) can reduce 166 to: % 9.17/2.73 | (185) $false % 9.17/2.73 | % 9.17/2.73 |-The branch is then unsatisfiable % 9.17/2.73 |-Branch two: % 9.17/2.73 | (166) ~ (all_0_11_11 = e0) % 9.17/2.73 | (506) all_0_15_15 = e0 | all_0_19_19 = e0 | all_0_23_23 = e0 % 9.17/2.73 | % 9.17/2.73 +-Applying beta-rule and splitting (506), into two cases. % 9.17/2.73 |-Branch one: % 9.17/2.73 | (358) all_0_15_15 = e0 % 9.17/2.73 | % 9.17/2.73 | Equations (358) can reduce 498 to: % 9.17/2.73 | (185) $false % 9.17/2.73 | % 9.17/2.73 |-The branch is then unsatisfiable % 9.17/2.73 |-Branch two: % 9.17/2.73 | (498) ~ (all_0_15_15 = e0) % 9.17/2.73 | (510) all_0_19_19 = e0 | all_0_23_23 = e0 % 9.17/2.73 | % 9.17/2.73 +-Applying beta-rule and splitting (510), into two cases. % 9.17/2.73 |-Branch one: % 9.17/2.73 | (366) all_0_19_19 = e0 % 9.17/2.73 | % 9.17/2.73 | Equations (366) can reduce 742 to: % 9.17/2.73 | (220) ~ (e1 = e0) % 9.17/2.73 | % 9.17/2.73 | Simplifying 220 yields: % 9.17/2.73 | (53) ~ (e1 = e0) % 9.17/2.73 | % 9.17/2.73 +-Applying beta-rule and splitting (43), into two cases. % 9.17/2.73 |-Branch one: % 9.17/2.73 | (224) all_0_8_8 = e2 % 9.17/2.73 | % 9.17/2.73 | Combining equations (181,224) yields a new equation: % 9.17/2.73 | (599) e2 = e1 % 9.17/2.73 | % 9.17/2.73 | Equations (599) can reduce 81 to: % 9.17/2.73 | (185) $false % 9.17/2.73 | % 9.17/2.73 |-The branch is then unsatisfiable % 9.17/2.73 |-Branch two: % 9.17/2.73 | (264) ~ (all_0_8_8 = e2) % 9.17/2.73 | (265) all_0_12_12 = e2 | all_0_16_16 = e2 | all_0_20_20 = e2 % 9.17/2.73 | % 9.17/2.73 | Equations (181) can reduce 264 to: % 9.17/2.73 | (781) ~ (e2 = e1) % 9.17/2.73 | % 9.17/2.73 | Simplifying 781 yields: % 9.17/2.73 | (81) ~ (e2 = e1) % 9.17/2.73 | % 9.17/2.73 +-Applying beta-rule and splitting (981), into two cases. % 9.17/2.73 |-Branch one: % 9.17/2.73 | (826) all_0_19_19 = e1 % 9.17/2.73 | % 9.17/2.73 | Combining equations (366,826) yields a new equation: % 9.17/2.73 | (184) e1 = e0 % 9.17/2.73 | % 9.17/2.73 | Equations (184) can reduce 53 to: % 9.17/2.73 | (185) $false % 9.17/2.73 | % 9.17/2.73 |-The branch is then unsatisfiable % 9.17/2.73 |-Branch two: % 9.17/2.73 | (742) ~ (all_0_19_19 = e1) % 9.17/2.73 | (551) all_0_23_23 = e1 % 9.17/2.73 | % 9.17/2.73 | Combining equations (551,475) yields a new equation: % 9.17/2.73 | (599) e2 = e1 % 9.17/2.73 | % 9.17/2.73 | Equations (599) can reduce 81 to: % 9.17/2.73 | (185) $false % 9.17/2.73 | % 9.17/2.73 |-The branch is then unsatisfiable % 9.17/2.73 |-Branch two: % 9.17/2.73 | (360) ~ (all_0_19_19 = e0) % 9.17/2.73 | (514) all_0_23_23 = e0 % 9.17/2.73 | % 9.17/2.73 | Combining equations (475,514) yields a new equation: % 9.17/2.73 | (226) e2 = e0 % 9.17/2.73 | % 9.17/2.73 | Simplifying 226 yields: % 9.17/2.73 | (227) e2 = e0 % 9.17/2.73 | % 9.17/2.73 | Equations (227) can reduce 92 to: % 9.17/2.73 | (185) $false % 9.17/2.73 | % 9.17/2.73 |-The branch is then unsatisfiable % 9.17/2.73 |-Branch two: % 9.17/2.73 | (164) ~ (all_0_10_10 = e0) % 9.17/2.73 | (256) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0 % 9.17/2.73 | % 9.17/2.73 +-Applying beta-rule and splitting (119), into two cases. % 9.17/2.73 |-Branch one: % 9.17/2.73 | (283) all_0_8_8 = e3 % 9.17/2.73 | % 9.17/2.73 | Combining equations (283,181) yields a new equation: % 9.17/2.73 | (669) e3 = e1 % 9.17/2.73 | % 9.17/2.73 | Simplifying 669 yields: % 9.17/2.73 | (271) e3 = e1 % 9.17/2.73 | % 9.17/2.73 | Equations (271) can reduce 102 to: % 9.17/2.73 | (185) $false % 9.17/2.73 | % 9.17/2.73 |-The branch is then unsatisfiable % 9.17/2.73 |-Branch two: % 9.17/2.73 | (287) ~ (all_0_8_8 = e3) % 9.17/2.73 | (288) all_0_12_12 = e3 | all_0_16_16 = e3 | all_0_20_20 = e3 % 9.17/2.73 | % 9.17/2.73 +-Applying beta-rule and splitting (288), into two cases. % 9.17/2.73 |-Branch one: % 9.17/2.73 | (289) all_0_12_12 = e3 % 9.17/2.73 | % 9.17/2.73 | Equations (289) can reduce 168 to: % 9.17/2.73 | (117) ~ (e3 = e0) % 9.17/2.73 | % 9.17/2.73 +-Applying beta-rule and splitting (96), into two cases. % 9.17/2.73 |-Branch one: % 9.17/2.73 | (159) all_0_8_8 = e0 % 9.17/2.73 | % 9.17/2.73 | Combining equations (159,181) yields a new equation: % 9.17/2.73 | (184) e1 = e0 % 9.17/2.73 | % 9.17/2.73 | Equations (184) can reduce 53 to: % 9.17/2.73 | (185) $false % 9.17/2.73 | % 9.17/2.73 |-The branch is then unsatisfiable % 9.17/2.73 |-Branch two: % 9.17/2.73 | (687) ~ (all_0_8_8 = e0) % 9.17/2.73 | (846) all_0_9_9 = e0 | all_0_10_10 = e0 | all_0_11_11 = e0 % 9.17/2.73 | % 9.17/2.73 | Equations (181) can reduce 687 to: % 9.17/2.73 | (53) ~ (e1 = e0) % 9.17/2.73 | % 9.17/2.73 +-Applying beta-rule and splitting (256), into two cases. % 9.17/2.73 |-Branch one: % 9.17/2.73 | (257) all_0_14_14 = e0 % 9.17/2.73 | % 9.17/2.73 | Combining equations (257,489) yields a new equation: % 9.17/2.73 | (227) e2 = e0 % 9.17/2.73 | % 9.17/2.73 | Equations (227) can reduce 92 to: % 9.17/2.73 | (185) $false % 9.17/2.73 | % 9.17/2.73 |-The branch is then unsatisfiable % 9.17/2.73 |-Branch two: % 9.17/2.73 | (248) ~ (all_0_14_14 = e0) % 9.17/2.73 | (260) all_0_18_18 = e0 | all_0_22_22 = e0 % 9.17/2.73 | % 9.17/2.73 +-Applying beta-rule and splitting (260), into two cases. % 9.17/2.73 |-Branch one: % 9.17/2.73 | (361) all_0_18_18 = e0 % 9.17/2.73 | % 9.17/2.73 | Combining equations (274,361) yields a new equation: % 9.17/2.73 | (284) e3 = e0 % 9.17/2.73 | % 9.17/2.73 | Simplifying 284 yields: % 9.17/2.73 | (285) e3 = e0 % 9.17/2.73 | % 9.17/2.73 | Equations (285) can reduce 117 to: % 9.17/2.73 | (185) $false % 9.17/2.73 | % 9.17/2.73 |-The branch is then unsatisfiable % 9.17/2.73 |-Branch two: % 9.17/2.73 | (365) ~ (all_0_18_18 = e0) % 9.17/2.73 | (454) all_0_22_22 = e0 % 9.17/2.73 | % 9.17/2.73 | Combining equations (418,454) yields a new equation: % 9.17/2.73 | (183) e1 = e0 % 9.17/2.73 | % 9.17/2.73 | Simplifying 183 yields: % 9.17/2.73 | (184) e1 = e0 % 9.17/2.73 | % 9.17/2.73 | Equations (184) can reduce 53 to: % 9.17/2.73 | (185) $false % 9.17/2.73 | % 9.17/2.73 |-The branch is then unsatisfiable % 9.17/2.73 |-Branch two: % 9.17/2.73 | (292) ~ (all_0_12_12 = e3) % 9.17/2.73 | (293) all_0_16_16 = e3 | all_0_20_20 = e3 % 9.17/2.73 | % 9.17/2.73 +-Applying beta-rule and splitting (293), into two cases. % 9.17/2.73 |-Branch one: % 9.17/2.73 | (294) all_0_16_16 = e3 % 9.17/2.73 | % 9.17/2.73 | Equations (294) can reduce 239 to: % 9.17/2.73 | (185) $false % 9.17/2.73 | % 9.17/2.73 |-The branch is then unsatisfiable % 9.17/2.73 |-Branch two: % 9.17/2.73 | (239) ~ (all_0_16_16 = e3) % 9.17/2.73 | (297) all_0_20_20 = e3 % 9.17/2.73 | % 9.17/2.73 | Combining equations (376,297) yields a new equation: % 9.17/2.73 | (285) e3 = e0 % 9.17/2.73 | % 9.17/2.73 | Equations (285) can reduce 117 to: % 9.17/2.73 | (185) $false % 9.17/2.73 | % 9.17/2.73 |-The branch is then unsatisfiable % 9.17/2.73 |-Branch two: % 9.17/2.73 | (188) ~ (all_0_14_14 = e2) % 9.17/2.73 | (492) all_0_14_14 = e1 | all_0_14_14 = e0 % 9.17/2.73 | % 9.17/2.73 +-Applying beta-rule and splitting (492), into two cases. % 9.17/2.73 |-Branch one: % 9.17/2.73 | (493) all_0_14_14 = e1 % 9.17/2.73 | % 9.17/2.74 | Equations (493) can reduce 192 to: % 9.17/2.74 | (185) $false % 9.17/2.74 | % 9.17/2.74 |-The branch is then unsatisfiable % 9.17/2.74 |-Branch two: % 9.17/2.74 | (192) ~ (all_0_14_14 = e1) % 9.17/2.74 | (257) all_0_14_14 = e0 % 9.17/2.74 | % 9.17/2.74 | Equations (257) can reduce 248 to: % 9.17/2.74 | (185) $false % 9.17/2.74 | % 9.17/2.74 |-The branch is then unsatisfiable % 9.17/2.74 |-Branch two: % 9.17/2.74 | (278) all_0_23_23 = e3 & ~ (all_0_20_20 = e0) % 9.17/2.74 | % 9.17/2.74 | Applying alpha-rule on (278) yields: % 9.17/2.74 | (279) all_0_23_23 = e3 % 9.17/2.74 | (172) ~ (all_0_20_20 = e0) % 9.17/2.74 | % 9.17/2.74 | Combining equations (475,279) yields a new equation: % 9.17/2.74 | (276) e3 = e2 % 9.17/2.74 | % 9.17/2.74 | Equations (276) can reduce 39 to: % 9.17/2.74 | (185) $false % 9.17/2.74 | % 9.17/2.74 |-The branch is then unsatisfiable % 9.17/2.74 |-Branch two: % 9.17/2.74 | (172) ~ (all_0_20_20 = e0) % 9.17/2.74 | (571) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 % 9.17/2.74 | % 9.17/2.74 +-Applying beta-rule and splitting (571), into two cases. % 9.17/2.74 |-Branch one: % 9.17/2.74 | (213) all_0_21_21 = e0 % 9.17/2.74 | % 9.17/2.74 | Equations (213) can reduce 476 to: % 9.17/2.74 | (185) $false % 9.17/2.74 | % 9.17/2.74 |-The branch is then unsatisfiable % 9.17/2.74 |-Branch two: % 9.17/2.74 | (476) ~ (all_0_21_21 = e0) % 9.17/2.74 | (585) all_0_22_22 = e0 | all_0_23_23 = e0 % 9.17/2.74 | % 9.17/2.74 +-Applying beta-rule and splitting (585), into two cases. % 9.17/2.74 |-Branch one: % 9.17/2.74 | (454) all_0_22_22 = e0 % 9.17/2.74 | % 9.17/2.74 | Combining equations (418,454) yields a new equation: % 9.17/2.74 | (183) e1 = e0 % 9.17/2.74 | % 9.17/2.74 | Simplifying 183 yields: % 9.17/2.74 | (184) e1 = e0 % 9.17/2.74 | % 9.17/2.74 | Equations (184) can reduce 53 to: % 9.17/2.74 | (185) $false % 9.17/2.74 | % 9.17/2.74 |-The branch is then unsatisfiable % 9.17/2.74 |-Branch two: % 9.17/2.74 | (217) ~ (all_0_22_22 = e0) % 9.17/2.74 | (514) all_0_23_23 = e0 % 9.17/2.74 | % 9.17/2.74 | Combining equations (514,475) yields a new equation: % 9.17/2.74 | (227) e2 = e0 % 9.17/2.74 | % 9.17/2.74 | Equations (227) can reduce 92 to: % 9.17/2.74 | (185) $false % 9.17/2.74 | % 9.17/2.74 |-The branch is then unsatisfiable % 9.17/2.74 |-Branch two: % 9.17/2.74 | (453) ~ (all_0_22_22 = e1) % 9.17/2.74 | (551) all_0_23_23 = e1 % 9.17/2.74 | % 9.17/2.74 | Combining equations (551,475) yields a new equation: % 9.17/2.74 | (599) e2 = e1 % 9.17/2.74 | % 9.17/2.74 | Equations (599) can reduce 81 to: % 9.17/2.74 | (185) $false % 9.17/2.74 | % 9.17/2.74 |-The branch is then unsatisfiable % 9.17/2.74 |-Branch two: % 9.17/2.74 | (231) ~ (all_0_17_17 = e1) % 9.17/2.74 | (772) all_0_21_21 = e1 % 9.17/2.74 | % 9.17/2.74 | Equations (772) can reduce 194 to: % 9.17/2.74 | (185) $false % 9.17/2.74 | % 9.17/2.74 |-The branch is then unsatisfiable % 9.17/2.74 |-Branch two: % 9.17/2.74 | (1114) all_0_4_4 = e1 % 9.17/2.74 | (1115) ~ (all_0_5_5 = e3) | ~ (all_0_13_13 = e0) % 9.17/2.74 | % 9.17/2.74 | Combining equations (1114,708) yields a new equation: % 9.17/2.74 | (772) all_0_21_21 = e1 % 9.17/2.74 | % 9.17/2.74 | Equations (772) can reduce 152 to: % 9.17/2.74 | (1117) ~ (all_0_22_22 = e1) % 9.17/2.74 | % 9.17/2.74 | Simplifying 1117 yields: % 9.17/2.74 | (453) ~ (all_0_22_22 = e1) % 9.17/2.74 | % 9.17/2.74 +-Applying beta-rule and splitting (1115), into two cases. % 9.17/2.74 |-Branch one: % 9.17/2.74 | (483) ~ (all_0_5_5 = e3) % 9.17/2.74 | % 9.17/2.74 | Equations (707) can reduce 483 to: % 9.17/2.74 | (927) ~ (all_0_15_15 = e3) % 9.17/2.74 | % 9.17/2.74 +-Applying beta-rule and splitting (67), into two cases. % 9.17/2.74 |-Branch one: % 9.17/2.74 | (457) all_0_15_15 = e3 % 9.17/2.74 | % 9.17/2.74 | Equations (457) can reduce 927 to: % 9.17/2.74 | (185) $false % 9.17/2.74 | % 9.17/2.74 |-The branch is then unsatisfiable % 9.17/2.74 |-Branch two: % 9.17/2.74 | (927) ~ (all_0_15_15 = e3) % 9.17/2.74 | (1124) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0 % 9.17/2.74 | % 9.17/2.74 +-Applying beta-rule and splitting (1124), into two cases. % 9.17/2.74 |-Branch one: % 9.17/2.74 | (1125) all_0_15_15 = e2 % 9.17/2.74 | % 9.17/2.74 | Equations (1125) can reduce 695 to: % 9.17/2.74 | (185) $false % 9.17/2.74 | % 9.17/2.74 |-The branch is then unsatisfiable % 9.17/2.74 |-Branch two: % 9.17/2.74 | (695) ~ (all_0_15_15 = e2) % 9.17/2.74 | (1128) all_0_15_15 = e1 | all_0_15_15 = e0 % 9.17/2.74 | % 9.17/2.74 +-Applying beta-rule and splitting (1128), into two cases. % 9.17/2.74 |-Branch one: % 9.17/2.74 | (911) all_0_15_15 = e1 % 9.17/2.74 | % 9.17/2.74 | Equations (911) can reduce 20 to: % 9.17/2.74 | (192) ~ (all_0_14_14 = e1) % 9.17/2.74 | % 9.17/2.74 | Equations (911) can reduce 927 to: % 9.17/2.74 | (419) ~ (e3 = e1) % 9.17/2.74 | % 9.17/2.74 | Simplifying 419 yields: % 9.17/2.74 | (102) ~ (e3 = e1) % 9.17/2.74 | % 9.17/2.74 | Equations (911) can reduce 695 to: % 9.17/2.74 | (781) ~ (e2 = e1) % 9.17/2.74 | % 9.17/2.74 | Simplifying 781 yields: % 9.17/2.74 | (81) ~ (e2 = e1) % 9.17/2.74 | % 9.17/2.74 +-Applying beta-rule and splitting (25), into two cases. % 9.17/2.74 |-Branch one: % 9.17/2.74 | (1135) all_0_10_10 = e1 % 9.17/2.74 | % 9.17/2.74 | Equations (1135) can reduce 718 to: % 9.17/2.74 | (185) $false % 9.17/2.74 | % 9.17/2.74 |-The branch is then unsatisfiable % 9.17/2.74 |-Branch two: % 9.17/2.74 | (718) ~ (all_0_10_10 = e1) % 9.17/2.74 | (1138) all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1 % 9.17/2.74 | % 9.17/2.74 +-Applying beta-rule and splitting (1138), into two cases. % 9.17/2.74 |-Branch one: % 9.17/2.74 | (493) all_0_14_14 = e1 % 9.17/2.74 | % 9.17/2.74 | Equations (493) can reduce 192 to: % 9.17/2.74 | (185) $false % 9.17/2.74 | % 9.17/2.74 |-The branch is then unsatisfiable % 9.17/2.74 |-Branch two: % 9.17/2.74 | (192) ~ (all_0_14_14 = e1) % 9.17/2.74 | (1142) all_0_18_18 = e1 | all_0_22_22 = e1 % 9.17/2.74 | % 9.17/2.74 +-Applying beta-rule and splitting (1142), into two cases. % 9.17/2.74 |-Branch one: % 9.17/2.74 | (1143) all_0_18_18 = e1 % 9.17/2.74 | % 9.17/2.74 +-Applying beta-rule and splitting (28), into two cases. % 9.17/2.74 |-Branch one: % 9.17/2.74 | (222) (all_0_8_8 = e2 & ~ (all_0_9_9 = e3)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e1)) % 9.17/2.74 | % 9.17/2.74 +-Applying beta-rule and splitting (222), into two cases. % 9.17/2.74 |-Branch one: % 9.17/2.74 | (223) all_0_8_8 = e2 & ~ (all_0_9_9 = e3) % 9.17/2.74 | % 9.17/2.74 | Applying alpha-rule on (223) yields: % 9.17/2.74 | (224) all_0_8_8 = e2 % 9.17/2.74 | (225) ~ (all_0_9_9 = e3) % 9.17/2.74 | % 9.17/2.74 | Combining equations (181,224) yields a new equation: % 9.17/2.74 | (599) e2 = e1 % 9.17/2.74 | % 9.17/2.74 | Equations (599) can reduce 81 to: % 9.17/2.74 | (185) $false % 9.17/2.74 | % 9.17/2.74 |-The branch is then unsatisfiable % 9.17/2.74 |-Branch two: % 9.17/2.74 | (229) all_0_18_18 = e2 & ~ (all_0_17_17 = e1) % 9.17/2.74 | % 9.17/2.74 | Applying alpha-rule on (229) yields: % 9.17/2.74 | (230) all_0_18_18 = e2 % 9.17/2.74 | (231) ~ (all_0_17_17 = e1) % 9.17/2.74 | % 9.17/2.74 | Combining equations (1143,230) yields a new equation: % 9.17/2.74 | (599) e2 = e1 % 9.17/2.74 | % 9.17/2.74 | Equations (599) can reduce 81 to: % 9.17/2.74 | (185) $false % 9.17/2.74 | % 9.17/2.74 |-The branch is then unsatisfiable % 9.17/2.74 |-Branch two: % 9.17/2.74 | (474) all_0_23_23 = e2 & ~ (all_0_21_21 = e0) % 9.17/2.74 | % 9.17/2.74 | Applying alpha-rule on (474) yields: % 9.17/2.74 | (475) all_0_23_23 = e2 % 9.17/2.74 | (476) ~ (all_0_21_21 = e0) % 9.17/2.74 | % 9.17/2.74 +-Applying beta-rule and splitting (138), into two cases. % 9.17/2.74 |-Branch one: % 9.17/2.74 | (267) (all_0_13_13 = e3 & ~ (all_0_12_12 = e2)) | (all_0_18_18 = e3 & ~ (all_0_16_16 = e1)) % 9.17/2.74 | % 9.17/2.74 +-Applying beta-rule and splitting (267), into two cases. % 9.17/2.74 |-Branch one: % 9.17/2.74 | (268) all_0_13_13 = e3 & ~ (all_0_12_12 = e2) % 9.17/2.74 | % 9.17/2.74 | Applying alpha-rule on (268) yields: % 9.17/2.74 | (269) all_0_13_13 = e3 % 9.17/2.74 | (270) ~ (all_0_12_12 = e2) % 9.17/2.74 | % 9.17/2.74 | Combining equations (205,269) yields a new equation: % 9.17/2.74 | (285) e3 = e0 % 9.17/2.74 | % 9.17/2.74 | Equations (285) can reduce 117 to: % 9.17/2.74 | (185) $false % 9.17/2.74 | % 9.17/2.74 |-The branch is then unsatisfiable % 9.17/2.74 |-Branch two: % 9.17/2.74 | (273) all_0_18_18 = e3 & ~ (all_0_16_16 = e1) % 9.17/2.74 | % 9.17/2.74 | Applying alpha-rule on (273) yields: % 9.17/2.74 | (274) all_0_18_18 = e3 % 9.17/2.74 | (275) ~ (all_0_16_16 = e1) % 9.17/2.74 | % 9.17/2.74 | Combining equations (274,1143) yields a new equation: % 9.17/2.74 | (669) e3 = e1 % 9.17/2.74 | % 9.17/2.74 | Simplifying 669 yields: % 9.17/2.74 | (271) e3 = e1 % 9.17/2.74 | % 9.17/2.74 | Equations (271) can reduce 102 to: % 9.17/2.74 | (185) $false % 9.17/2.74 | % 9.17/2.74 |-The branch is then unsatisfiable % 9.17/2.74 |-Branch two: % 9.17/2.74 | (278) all_0_23_23 = e3 & ~ (all_0_20_20 = e0) % 9.17/2.74 | % 9.17/2.74 | Applying alpha-rule on (278) yields: % 9.17/2.74 | (279) all_0_23_23 = e3 % 9.17/2.74 | (172) ~ (all_0_20_20 = e0) % 9.17/2.74 | % 9.17/2.75 | Combining equations (279,475) yields a new equation: % 9.17/2.75 | (430) e3 = e2 % 9.17/2.75 | % 9.17/2.75 | Simplifying 430 yields: % 9.17/2.75 | (276) e3 = e2 % 9.17/2.75 | % 9.17/2.75 | Equations (276) can reduce 39 to: % 9.17/2.75 | (185) $false % 9.17/2.75 | % 9.17/2.75 |-The branch is then unsatisfiable % 9.17/2.75 |-Branch two: % 9.17/2.75 | (779) ~ (all_0_18_18 = e1) % 9.17/2.75 | (418) all_0_22_22 = e1 % 9.17/2.75 | % 9.17/2.75 | Equations (418) can reduce 453 to: % 9.17/2.75 | (185) $false % 9.17/2.75 | % 9.17/2.75 |-The branch is then unsatisfiable % 9.17/2.75 |-Branch two: % 9.17/2.75 | (980) ~ (all_0_15_15 = e1) % 9.17/2.75 | (358) all_0_15_15 = e0 % 9.17/2.75 | % 9.17/2.75 | Equations (358) can reduce 498 to: % 9.17/2.75 | (185) $false % 9.17/2.75 | % 9.17/2.75 |-The branch is then unsatisfiable % 9.17/2.75 |-Branch two: % 9.17/2.75 | (547) all_0_5_5 = e3 % 9.17/2.75 | (208) ~ (all_0_13_13 = e0) % 9.17/2.75 | % 9.17/2.75 | Equations (205) can reduce 208 to: % 9.17/2.75 | (185) $false % 9.17/2.75 | % 9.17/2.75 |-The branch is then unsatisfiable % 9.17/2.75 |-Branch two: % 9.17/2.75 | (186) all_0_13_13 = e1 & ~ (all_0_14_14 = e2) % 9.17/2.75 | % 9.17/2.75 | Applying alpha-rule on (186) yields: % 9.17/2.75 | (187) all_0_13_13 = e1 % 9.17/2.75 | (188) ~ (all_0_14_14 = e2) % 9.17/2.75 | % 9.17/2.75 | Combining equations (187,205) yields a new equation: % 9.17/2.75 | (183) e1 = e0 % 9.17/2.75 | % 9.17/2.75 | Simplifying 183 yields: % 9.17/2.75 | (184) e1 = e0 % 9.17/2.75 | % 9.17/2.75 | Equations (184) can reduce 53 to: % 9.17/2.75 | (185) $false % 9.17/2.75 | % 9.17/2.75 |-The branch is then unsatisfiable % 9.17/2.75 |-Branch two: % 9.17/2.75 | (550) all_0_23_23 = e1 & ~ (all_0_22_22 = e0) % 9.17/2.75 | % 9.17/2.75 | Applying alpha-rule on (550) yields: % 9.17/2.75 | (551) all_0_23_23 = e1 % 9.17/2.75 | (217) ~ (all_0_22_22 = e0) % 9.17/2.75 | % 9.17/2.75 | Equations (551) can reduce 15 to: % 9.17/2.75 | (980) ~ (all_0_15_15 = e1) % 9.17/2.75 | % 9.17/2.75 | Equations (551) can reduce 108 to: % 9.17/2.75 | (375) ~ (all_0_20_20 = e1) % 9.17/2.75 | % 9.17/2.75 | Equations (551) can reduce 99 to: % 9.17/2.75 | (453) ~ (all_0_22_22 = e1) % 9.17/2.75 | % 9.17/2.75 +-Applying beta-rule and splitting (138), into two cases. % 9.17/2.75 |-Branch one: % 9.17/2.75 | (267) (all_0_13_13 = e3 & ~ (all_0_12_12 = e2)) | (all_0_18_18 = e3 & ~ (all_0_16_16 = e1)) % 9.17/2.75 | % 9.17/2.75 +-Applying beta-rule and splitting (267), into two cases. % 9.17/2.75 |-Branch one: % 9.17/2.75 | (268) all_0_13_13 = e3 & ~ (all_0_12_12 = e2) % 9.17/2.75 | % 9.17/2.75 | Applying alpha-rule on (268) yields: % 9.17/2.75 | (269) all_0_13_13 = e3 % 9.17/2.75 | (270) ~ (all_0_12_12 = e2) % 9.17/2.75 | % 9.17/2.75 | Combining equations (205,269) yields a new equation: % 9.17/2.75 | (285) e3 = e0 % 9.17/2.75 | % 9.17/2.75 | Equations (285) can reduce 117 to: % 9.17/2.75 | (185) $false % 9.17/2.75 | % 9.17/2.75 |-The branch is then unsatisfiable % 9.17/2.75 |-Branch two: % 9.17/2.75 | (273) all_0_18_18 = e3 & ~ (all_0_16_16 = e1) % 9.17/2.75 | % 9.17/2.75 | Applying alpha-rule on (273) yields: % 9.17/2.75 | (274) all_0_18_18 = e3 % 9.17/2.75 | (275) ~ (all_0_16_16 = e1) % 9.17/2.75 | % 9.17/2.75 | Equations (274) can reduce 104 to: % 9.17/2.75 | (182) ~ (all_0_10_10 = e3) % 9.17/2.75 | % 9.17/2.75 | Equations (274) can reduce 143 to: % 9.17/2.75 | (463) ~ (all_0_17_17 = e3) % 9.17/2.75 | % 9.17/2.75 | Equations (274) can reduce 127 to: % 9.17/2.75 | (796) ~ (all_0_19_19 = e3) % 9.17/2.75 | % 9.17/2.75 | Simplifying 796 yields: % 9.17/2.75 | (797) ~ (all_0_19_19 = e3) % 9.17/2.75 | % 9.17/2.75 +-Applying beta-rule and splitting (86), into two cases. % 9.17/2.75 |-Branch one: % 9.17/2.75 | (729) all_0_21_21 = e3 % 9.17/2.75 | % 9.17/2.75 | Equations (729) can reduce 710 to: % 9.17/2.75 | (185) $false % 9.17/2.75 | % 9.17/2.75 |-The branch is then unsatisfiable % 9.17/2.75 |-Branch two: % 9.17/2.75 | (710) ~ (all_0_21_21 = e3) % 9.17/2.75 | (732) all_0_21_21 = e2 | all_0_21_21 = e1 | all_0_21_21 = e0 % 9.17/2.75 | % 9.17/2.75 +-Applying beta-rule and splitting (4), into two cases. % 9.17/2.75 |-Branch one: % 9.17/2.75 | (249) all_0_9_9 = e3 % 9.17/2.75 | % 9.17/2.75 | Equations (249) can reduce 137 to: % 9.17/2.75 | (914) ~ (all_0_11_11 = e3) % 9.17/2.75 | % 9.17/2.75 | Simplifying 914 yields: % 9.17/2.75 | (160) ~ (all_0_11_11 = e3) % 9.17/2.75 | % 9.17/2.75 +-Applying beta-rule and splitting (88), into two cases. % 9.17/2.75 |-Branch one: % 9.17/2.75 | (253) all_0_10_10 = e0 % 9.17/2.75 | % 9.17/2.75 | Equations (253) can reduce 132 to: % 9.17/2.75 | (216) ~ (all_0_22_22 = e0) % 9.17/2.75 | % 9.17/2.75 | Simplifying 216 yields: % 9.17/2.75 | (217) ~ (all_0_22_22 = e0) % 9.17/2.75 | % 9.17/2.75 +-Applying beta-rule and splitting (124), into two cases. % 9.17/2.75 |-Branch one: % 9.17/2.75 | (376) all_0_20_20 = e0 % 9.17/2.75 | % 9.17/2.75 | Equations (376) can reduce 66 to: % 9.17/2.75 | (216) ~ (all_0_22_22 = e0) % 9.17/2.75 | % 9.17/2.75 | Simplifying 216 yields: % 9.17/2.75 | (217) ~ (all_0_22_22 = e0) % 9.17/2.75 | % 9.17/2.75 | Equations (376) can reduce 375 to: % 9.17/2.75 | (220) ~ (e1 = e0) % 9.17/2.75 | % 9.17/2.75 | Simplifying 220 yields: % 9.17/2.75 | (53) ~ (e1 = e0) % 9.17/2.75 | % 9.17/2.75 +-Applying beta-rule and splitting (25), into two cases. % 9.17/2.75 |-Branch one: % 9.17/2.75 | (1135) all_0_10_10 = e1 % 9.17/2.75 | % 9.17/2.75 | Combining equations (253,1135) yields a new equation: % 9.17/2.75 | (184) e1 = e0 % 9.17/2.75 | % 9.17/2.75 | Equations (184) can reduce 53 to: % 9.17/2.75 | (185) $false % 9.17/2.75 | % 9.17/2.75 |-The branch is then unsatisfiable % 9.17/2.75 |-Branch two: % 9.17/2.75 | (718) ~ (all_0_10_10 = e1) % 9.17/2.75 | (1138) all_0_14_14 = e1 | all_0_18_18 = e1 | all_0_22_22 = e1 % 9.17/2.75 | % 9.17/2.75 +-Applying beta-rule and splitting (1138), into two cases. % 9.17/2.75 |-Branch one: % 9.17/2.75 | (493) all_0_14_14 = e1 % 9.17/2.75 | % 9.17/2.75 | Equations (493) can reduce 123 to: % 9.17/2.75 | (190) ~ (all_0_12_12 = e1) % 9.17/2.75 | % 9.17/2.75 | Equations (493) can reduce 83 to: % 9.17/2.75 | (1117) ~ (all_0_22_22 = e1) % 9.17/2.75 | % 9.17/2.75 | Simplifying 1117 yields: % 9.17/2.75 | (453) ~ (all_0_22_22 = e1) % 9.17/2.75 | % 9.17/2.75 +-Applying beta-rule and splitting (133), into two cases. % 9.17/2.75 |-Branch one: % 9.17/2.75 | (266) all_0_12_12 = e2 % 9.17/2.75 | % 9.17/2.75 | Equations (266) can reduce 190 to: % 9.17/2.75 | (81) ~ (e2 = e1) % 9.17/2.75 | % 9.17/2.75 +-Applying beta-rule and splitting (106), into two cases. % 9.17/2.75 |-Branch one: % 9.17/2.75 | (289) all_0_12_12 = e3 % 9.17/2.75 | % 9.17/2.75 | Combining equations (266,289) yields a new equation: % 9.17/2.75 | (276) e3 = e2 % 9.17/2.75 | % 9.17/2.75 | Equations (276) can reduce 39 to: % 9.17/2.75 | (185) $false % 9.17/2.75 | % 9.17/2.75 |-The branch is then unsatisfiable % 9.17/2.75 |-Branch two: % 9.17/2.75 | (292) ~ (all_0_12_12 = e3) % 9.17/2.75 | (399) all_0_13_13 = e3 | all_0_14_14 = e3 | all_0_15_15 = e3 % 9.17/2.75 | % 9.17/2.75 | Equations (266) can reduce 292 to: % 9.17/2.75 | (633) ~ (e3 = e2) % 9.17/2.75 | % 9.17/2.75 | Simplifying 633 yields: % 9.17/2.75 | (39) ~ (e3 = e2) % 9.17/2.75 | % 9.17/2.75 +-Applying beta-rule and splitting (28), into two cases. % 9.17/2.75 |-Branch one: % 9.17/2.75 | (222) (all_0_8_8 = e2 & ~ (all_0_9_9 = e3)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e1)) % 9.17/2.75 | % 9.17/2.75 +-Applying beta-rule and splitting (222), into two cases. % 9.17/2.75 |-Branch one: % 9.17/2.75 | (223) all_0_8_8 = e2 & ~ (all_0_9_9 = e3) % 9.17/2.75 | % 9.17/2.75 | Applying alpha-rule on (223) yields: % 9.17/2.75 | (224) all_0_8_8 = e2 % 9.17/2.75 | (225) ~ (all_0_9_9 = e3) % 9.17/2.75 | % 9.17/2.75 | Equations (249) can reduce 225 to: % 9.17/2.75 | (185) $false % 9.17/2.75 | % 9.17/2.75 |-The branch is then unsatisfiable % 9.17/2.75 |-Branch two: % 9.17/2.75 | (229) all_0_18_18 = e2 & ~ (all_0_17_17 = e1) % 9.17/2.75 | % 9.17/2.75 | Applying alpha-rule on (229) yields: % 9.17/2.75 | (230) all_0_18_18 = e2 % 9.17/2.75 | (231) ~ (all_0_17_17 = e1) % 9.17/2.75 | % 9.17/2.75 | Combining equations (230,274) yields a new equation: % 9.17/2.75 | (276) e3 = e2 % 9.17/2.75 | % 9.17/2.75 | Equations (276) can reduce 39 to: % 9.17/2.75 | (185) $false % 9.17/2.75 | % 9.17/2.75 |-The branch is then unsatisfiable % 9.17/2.75 |-Branch two: % 9.17/2.75 | (474) all_0_23_23 = e2 & ~ (all_0_21_21 = e0) % 9.17/2.75 | % 9.17/2.75 | Applying alpha-rule on (474) yields: % 9.17/2.75 | (475) all_0_23_23 = e2 % 9.17/2.75 | (476) ~ (all_0_21_21 = e0) % 9.17/2.75 | % 9.17/2.75 | Combining equations (475,551) yields a new equation: % 9.17/2.75 | (598) e2 = e1 % 9.17/2.75 | % 9.17/2.75 | Simplifying 598 yields: % 9.17/2.75 | (599) e2 = e1 % 9.17/2.75 | % 9.17/2.75 | Equations (599) can reduce 81 to: % 9.17/2.75 | (185) $false % 9.17/2.75 | % 9.17/2.75 |-The branch is then unsatisfiable % 9.17/2.75 |-Branch two: % 9.17/2.75 | (270) ~ (all_0_12_12 = e2) % 9.17/2.75 | (1260) all_0_13_13 = e2 | all_0_14_14 = e2 | all_0_15_15 = e2 % 9.17/2.75 | % 9.17/2.75 +-Applying beta-rule and splitting (11), into two cases. % 9.17/2.75 |-Branch one: % 9.17/2.75 | (1261) all_0_10_10 = e2 % 9.17/2.75 | % 9.17/2.75 | Combining equations (1261,253) yields a new equation: % 9.17/2.75 | (226) e2 = e0 % 9.17/2.75 | % 9.17/2.75 | Simplifying 226 yields: % 9.17/2.75 | (227) e2 = e0 % 9.17/2.75 | % 9.17/2.75 | Equations (227) can reduce 92 to: % 9.17/2.75 | (185) $false % 9.17/2.75 | % 9.17/2.75 |-The branch is then unsatisfiable % 9.17/2.75 |-Branch two: % 9.17/2.75 | (1005) ~ (all_0_10_10 = e2) % 9.17/2.75 | (1266) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2 % 9.17/2.75 | % 9.17/2.75 +-Applying beta-rule and splitting (1266), into two cases. % 9.17/2.75 |-Branch one: % 9.17/2.75 | (489) all_0_14_14 = e2 % 9.17/2.75 | % 9.17/2.75 | Combining equations (493,489) yields a new equation: % 9.17/2.75 | (599) e2 = e1 % 9.17/2.75 | % 9.17/2.75 | Equations (599) can reduce 81 to: % 9.17/2.75 | (185) $false % 9.17/2.75 | % 9.17/2.75 |-The branch is then unsatisfiable % 9.17/2.75 |-Branch two: % 9.17/2.75 | (188) ~ (all_0_14_14 = e2) % 9.17/2.75 | (1271) all_0_18_18 = e2 | all_0_22_22 = e2 % 9.17/2.75 | % 9.17/2.75 +-Applying beta-rule and splitting (1271), into two cases. % 9.17/2.75 |-Branch one: % 9.17/2.75 | (230) all_0_18_18 = e2 % 9.17/2.75 | % 9.17/2.75 | Combining equations (230,274) yields a new equation: % 9.17/2.75 | (276) e3 = e2 % 9.17/2.75 | % 9.17/2.75 | Equations (276) can reduce 39 to: % 9.17/2.75 | (185) $false % 9.17/2.75 | % 9.17/2.75 |-The branch is then unsatisfiable % 9.17/2.75 |-Branch two: % 9.17/2.75 | (1275) ~ (all_0_18_18 = e2) % 9.17/2.75 | (414) all_0_22_22 = e2 % 9.17/2.75 | % 9.17/2.75 | Equations (414) can reduce 453 to: % 9.17/2.75 | (81) ~ (e2 = e1) % 9.17/2.75 | % 9.17/2.75 | Equations (414) can reduce 217 to: % 9.17/2.75 | (92) ~ (e2 = e0) % 9.17/2.75 | % 9.17/2.75 +-Applying beta-rule and splitting (1260), into two cases. % 9.17/2.75 |-Branch one: % 9.17/2.75 | (640) all_0_13_13 = e2 % 9.17/2.75 | % 9.17/2.75 | Combining equations (205,640) yields a new equation: % 9.17/2.75 | (227) e2 = e0 % 9.17/2.75 | % 9.17/2.75 | Equations (227) can reduce 92 to: % 9.17/2.75 | (185) $false % 9.17/2.75 | % 9.17/2.75 |-The branch is then unsatisfiable % 9.17/2.75 |-Branch two: % 9.17/2.75 | (672) ~ (all_0_13_13 = e2) % 9.17/2.75 | (1283) all_0_14_14 = e2 | all_0_15_15 = e2 % 9.17/2.75 | % 9.17/2.75 +-Applying beta-rule and splitting (1283), into two cases. % 9.17/2.75 |-Branch one: % 9.17/2.75 | (489) all_0_14_14 = e2 % 9.17/2.75 | % 9.17/2.75 | Combining equations (493,489) yields a new equation: % 9.17/2.75 | (599) e2 = e1 % 9.17/2.75 | % 9.17/2.75 | Equations (599) can reduce 81 to: % 9.17/2.75 | (185) $false % 9.17/2.75 | % 9.17/2.75 |-The branch is then unsatisfiable % 9.17/2.75 |-Branch two: % 9.17/2.75 | (188) ~ (all_0_14_14 = e2) % 9.17/2.75 | (1125) all_0_15_15 = e2 % 9.17/2.75 | % 9.17/2.75 | Equations (1125) can reduce 695 to: % 9.17/2.75 | (185) $false % 9.17/2.75 | % 9.17/2.75 |-The branch is then unsatisfiable % 9.17/2.75 |-Branch two: % 9.17/2.75 | (192) ~ (all_0_14_14 = e1) % 9.17/2.75 | (1142) all_0_18_18 = e1 | all_0_22_22 = e1 % 9.17/2.75 | % 9.17/2.75 +-Applying beta-rule and splitting (1142), into two cases. % 9.17/2.75 |-Branch one: % 9.17/2.75 | (1143) all_0_18_18 = e1 % 9.17/2.75 | % 9.17/2.75 | Combining equations (274,1143) yields a new equation: % 9.17/2.75 | (669) e3 = e1 % 9.17/2.75 | % 9.17/2.75 | Simplifying 669 yields: % 9.17/2.75 | (271) e3 = e1 % 9.17/2.75 | % 9.17/2.75 | Equations (271) can reduce 102 to: % 9.17/2.75 | (185) $false % 9.17/2.75 | % 9.17/2.75 |-The branch is then unsatisfiable % 9.17/2.75 |-Branch two: % 9.17/2.75 | (779) ~ (all_0_18_18 = e1) % 9.17/2.75 | (418) all_0_22_22 = e1 % 9.17/2.75 | % 9.17/2.75 | Equations (418) can reduce 453 to: % 9.17/2.75 | (185) $false % 9.17/2.75 | % 9.17/2.75 |-The branch is then unsatisfiable % 9.17/2.75 |-Branch two: % 9.17/2.75 | (172) ~ (all_0_20_20 = e0) % 9.17/2.75 | (571) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 % 9.17/2.75 | % 9.17/2.75 +-Applying beta-rule and splitting (571), into two cases. % 9.17/2.75 |-Branch one: % 9.17/2.75 | (213) all_0_21_21 = e0 % 9.17/2.75 | % 9.17/2.75 | Equations (213) can reduce 476 to: % 9.17/2.75 | (185) $false % 9.17/2.75 | % 9.17/2.75 |-The branch is then unsatisfiable % 9.17/2.75 |-Branch two: % 9.17/2.75 | (476) ~ (all_0_21_21 = e0) % 9.17/2.75 | (585) all_0_22_22 = e0 | all_0_23_23 = e0 % 9.17/2.75 | % 9.17/2.75 +-Applying beta-rule and splitting (585), into two cases. % 9.17/2.75 |-Branch one: % 9.17/2.75 | (454) all_0_22_22 = e0 % 9.17/2.75 | % 9.17/2.75 | Equations (454) can reduce 217 to: % 9.17/2.75 | (185) $false % 9.17/2.75 | % 9.17/2.75 |-The branch is then unsatisfiable % 9.17/2.75 |-Branch two: % 9.17/2.75 | (217) ~ (all_0_22_22 = e0) % 9.17/2.75 | (514) all_0_23_23 = e0 % 9.17/2.75 | % 9.17/2.75 | Combining equations (551,514) yields a new equation: % 9.17/2.75 | (183) e1 = e0 % 9.17/2.75 | % 9.17/2.75 | Simplifying 183 yields: % 9.17/2.75 | (184) e1 = e0 % 9.17/2.75 | % 9.17/2.75 | Equations (184) can reduce 53 to: % 9.17/2.75 | (185) $false % 9.17/2.75 | % 9.17/2.75 |-The branch is then unsatisfiable % 9.17/2.75 |-Branch two: % 9.17/2.75 | (164) ~ (all_0_10_10 = e0) % 9.17/2.75 | (256) all_0_14_14 = e0 | all_0_18_18 = e0 | all_0_22_22 = e0 % 9.17/2.75 | % 9.17/2.75 +-Applying beta-rule and splitting (93), into two cases. % 9.17/2.75 |-Branch one: % 9.17/2.75 | (627) all_0_11_11 = e3 % 9.17/2.75 | % 9.17/2.75 | Equations (627) can reduce 160 to: % 9.17/2.75 | (185) $false % 9.17/2.75 | % 9.17/2.75 |-The branch is then unsatisfiable % 9.17/2.75 |-Branch two: % 9.17/2.75 | (160) ~ (all_0_11_11 = e3) % 9.17/2.75 | (923) all_0_15_15 = e3 | all_0_19_19 = e3 | all_0_23_23 = e3 % 9.17/2.75 | % 9.17/2.75 +-Applying beta-rule and splitting (923), into two cases. % 9.17/2.75 |-Branch one: % 9.17/2.75 | (457) all_0_15_15 = e3 % 9.17/2.75 | % 9.17/2.75 | Equations (457) can reduce 498 to: % 9.17/2.75 | (117) ~ (e3 = e0) % 9.17/2.75 | % 9.17/2.75 +-Applying beta-rule and splitting (256), into two cases. % 9.17/2.75 |-Branch one: % 9.17/2.75 | (257) all_0_14_14 = e0 % 9.17/2.75 | % 9.17/2.75 | Equations (257) can reduce 248 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (248) ~ (all_0_14_14 = e0) % 9.17/2.76 | (260) all_0_18_18 = e0 | all_0_22_22 = e0 % 9.17/2.76 | % 9.17/2.76 +-Applying beta-rule and splitting (260), into two cases. % 9.17/2.76 |-Branch one: % 9.17/2.76 | (361) all_0_18_18 = e0 % 9.17/2.76 | % 9.17/2.76 | Combining equations (274,361) yields a new equation: % 9.17/2.76 | (284) e3 = e0 % 9.17/2.76 | % 9.17/2.76 | Simplifying 284 yields: % 9.17/2.76 | (285) e3 = e0 % 9.17/2.76 | % 9.17/2.76 | Equations (285) can reduce 117 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (365) ~ (all_0_18_18 = e0) % 9.17/2.76 | (454) all_0_22_22 = e0 % 9.17/2.76 | % 9.17/2.76 | Equations (454) can reduce 217 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (927) ~ (all_0_15_15 = e3) % 9.17/2.76 | (928) all_0_19_19 = e3 | all_0_23_23 = e3 % 9.17/2.76 | % 9.17/2.76 +-Applying beta-rule and splitting (928), into two cases. % 9.17/2.76 |-Branch one: % 9.17/2.76 | (799) all_0_19_19 = e3 % 9.17/2.76 | % 9.17/2.76 | Equations (799) can reduce 797 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (797) ~ (all_0_19_19 = e3) % 9.17/2.76 | (279) all_0_23_23 = e3 % 9.17/2.76 | % 9.17/2.76 | Combining equations (279,551) yields a new equation: % 9.17/2.76 | (669) e3 = e1 % 9.17/2.76 | % 9.17/2.76 | Simplifying 669 yields: % 9.17/2.76 | (271) e3 = e1 % 9.17/2.76 | % 9.17/2.76 | Equations (271) can reduce 102 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (225) ~ (all_0_9_9 = e3) % 9.17/2.76 | (967) all_0_13_13 = e3 | all_0_17_17 = e3 | all_0_21_21 = e3 % 9.17/2.76 | % 9.17/2.76 +-Applying beta-rule and splitting (67), into two cases. % 9.17/2.76 |-Branch one: % 9.17/2.76 | (457) all_0_15_15 = e3 % 9.17/2.76 | % 9.17/2.76 | Equations (457) can reduce 36 to: % 9.17/2.76 | (160) ~ (all_0_11_11 = e3) % 9.17/2.76 | % 9.17/2.76 +-Applying beta-rule and splitting (124), into two cases. % 9.17/2.76 |-Branch one: % 9.17/2.76 | (376) all_0_20_20 = e0 % 9.17/2.76 | % 9.17/2.76 | Equations (376) can reduce 103 to: % 9.17/2.76 | (687) ~ (all_0_8_8 = e0) % 9.17/2.76 | % 9.17/2.76 +-Applying beta-rule and splitting (24), into two cases. % 9.17/2.76 |-Branch one: % 9.17/2.76 | (283) all_0_8_8 = e3 % 9.17/2.76 | % 9.17/2.76 | Equations (283) can reduce 687 to: % 9.17/2.76 | (117) ~ (e3 = e0) % 9.17/2.76 | % 9.17/2.76 +-Applying beta-rule and splitting (967), into two cases. % 9.17/2.76 |-Branch one: % 9.17/2.76 | (269) all_0_13_13 = e3 % 9.17/2.76 | % 9.17/2.76 | Combining equations (205,269) yields a new equation: % 9.17/2.76 | (285) e3 = e0 % 9.17/2.76 | % 9.17/2.76 | Equations (285) can reduce 117 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (403) ~ (all_0_13_13 = e3) % 9.17/2.76 | (972) all_0_17_17 = e3 | all_0_21_21 = e3 % 9.17/2.76 | % 9.17/2.76 +-Applying beta-rule and splitting (972), into two cases. % 9.17/2.76 |-Branch one: % 9.17/2.76 | (236) all_0_17_17 = e3 % 9.17/2.76 | % 9.17/2.76 | Equations (236) can reduce 463 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (463) ~ (all_0_17_17 = e3) % 9.17/2.76 | (729) all_0_21_21 = e3 % 9.17/2.76 | % 9.17/2.76 | Equations (729) can reduce 710 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (287) ~ (all_0_8_8 = e3) % 9.17/2.76 | (813) all_0_9_9 = e3 | all_0_10_10 = e3 | all_0_11_11 = e3 % 9.17/2.76 | % 9.17/2.76 +-Applying beta-rule and splitting (813), into two cases. % 9.17/2.76 |-Branch one: % 9.17/2.76 | (249) all_0_9_9 = e3 % 9.17/2.76 | % 9.17/2.76 | Equations (249) can reduce 225 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (225) ~ (all_0_9_9 = e3) % 9.17/2.76 | (818) all_0_10_10 = e3 | all_0_11_11 = e3 % 9.17/2.76 | % 9.17/2.76 +-Applying beta-rule and splitting (818), into two cases. % 9.17/2.76 |-Branch one: % 9.17/2.76 | (819) all_0_10_10 = e3 % 9.17/2.76 | % 9.17/2.76 | Equations (819) can reduce 182 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (182) ~ (all_0_10_10 = e3) % 9.17/2.76 | (627) all_0_11_11 = e3 % 9.17/2.76 | % 9.17/2.76 | Equations (627) can reduce 160 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (172) ~ (all_0_20_20 = e0) % 9.17/2.76 | (571) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 % 9.17/2.76 | % 9.17/2.76 +-Applying beta-rule and splitting (571), into two cases. % 9.17/2.76 |-Branch one: % 9.17/2.76 | (213) all_0_21_21 = e0 % 9.17/2.76 | % 9.17/2.76 | Equations (213) can reduce 476 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (476) ~ (all_0_21_21 = e0) % 9.17/2.76 | (585) all_0_22_22 = e0 | all_0_23_23 = e0 % 9.17/2.76 | % 9.17/2.76 +-Applying beta-rule and splitting (585), into two cases. % 9.17/2.76 |-Branch one: % 9.17/2.76 | (454) all_0_22_22 = e0 % 9.17/2.76 | % 9.17/2.76 | Equations (454) can reduce 217 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (217) ~ (all_0_22_22 = e0) % 9.17/2.76 | (514) all_0_23_23 = e0 % 9.17/2.76 | % 9.17/2.76 | Combining equations (514,551) yields a new equation: % 9.17/2.76 | (184) e1 = e0 % 9.17/2.76 | % 9.17/2.76 | Equations (184) can reduce 53 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (927) ~ (all_0_15_15 = e3) % 9.17/2.76 | (1124) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0 % 9.17/2.76 | % 9.17/2.76 +-Applying beta-rule and splitting (1124), into two cases. % 9.17/2.76 |-Branch one: % 9.17/2.76 | (1125) all_0_15_15 = e2 % 9.17/2.76 | % 9.17/2.76 | Equations (1125) can reduce 695 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (695) ~ (all_0_15_15 = e2) % 9.17/2.76 | (1128) all_0_15_15 = e1 | all_0_15_15 = e0 % 9.17/2.76 | % 9.17/2.76 +-Applying beta-rule and splitting (1128), into two cases. % 9.17/2.76 |-Branch one: % 9.17/2.76 | (911) all_0_15_15 = e1 % 9.17/2.76 | % 9.17/2.76 | Equations (911) can reduce 980 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (980) ~ (all_0_15_15 = e1) % 9.17/2.76 | (358) all_0_15_15 = e0 % 9.17/2.76 | % 9.17/2.76 | Equations (358) can reduce 498 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (278) all_0_23_23 = e3 & ~ (all_0_20_20 = e0) % 9.17/2.76 | % 9.17/2.76 | Applying alpha-rule on (278) yields: % 9.17/2.76 | (279) all_0_23_23 = e3 % 9.17/2.76 | (172) ~ (all_0_20_20 = e0) % 9.17/2.76 | % 9.17/2.76 | Combining equations (279,551) yields a new equation: % 9.17/2.76 | (669) e3 = e1 % 9.17/2.76 | % 9.17/2.76 | Simplifying 669 yields: % 9.17/2.76 | (271) e3 = e1 % 9.17/2.76 | % 9.17/2.76 | Equations (271) can reduce 102 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (237) all_0_4_4 = e3 % 9.17/2.76 | (1399) ~ (all_0_5_5 = e1) | ~ (all_0_13_13 = e0) % 9.17/2.76 | % 9.17/2.76 | Combining equations (237,708) yields a new equation: % 9.17/2.76 | (729) all_0_21_21 = e3 % 9.17/2.76 | % 9.17/2.76 | Equations (729) can reduce 9 to: % 9.17/2.76 | (225) ~ (all_0_9_9 = e3) % 9.17/2.76 | % 9.17/2.76 | Equations (729) can reduce 69 to: % 9.17/2.76 | (1402) ~ (all_0_23_23 = e3) % 9.17/2.76 | % 9.17/2.76 | Simplifying 1402 yields: % 9.17/2.76 | (1403) ~ (all_0_23_23 = e3) % 9.17/2.76 | % 9.17/2.76 | Equations (729) can reduce 476 to: % 9.17/2.76 | (117) ~ (e3 = e0) % 9.17/2.76 | % 9.17/2.76 +-Applying beta-rule and splitting (138), into two cases. % 9.17/2.76 |-Branch one: % 9.17/2.76 | (267) (all_0_13_13 = e3 & ~ (all_0_12_12 = e2)) | (all_0_18_18 = e3 & ~ (all_0_16_16 = e1)) % 9.17/2.76 | % 9.17/2.76 +-Applying beta-rule and splitting (267), into two cases. % 9.17/2.76 |-Branch one: % 9.17/2.76 | (268) all_0_13_13 = e3 & ~ (all_0_12_12 = e2) % 9.17/2.76 | % 9.17/2.76 | Applying alpha-rule on (268) yields: % 9.17/2.76 | (269) all_0_13_13 = e3 % 9.17/2.76 | (270) ~ (all_0_12_12 = e2) % 9.17/2.76 | % 9.17/2.76 | Combining equations (205,269) yields a new equation: % 9.17/2.76 | (285) e3 = e0 % 9.17/2.76 | % 9.17/2.76 | Equations (285) can reduce 117 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (273) all_0_18_18 = e3 & ~ (all_0_16_16 = e1) % 9.17/2.76 | % 9.17/2.76 | Applying alpha-rule on (273) yields: % 9.17/2.76 | (274) all_0_18_18 = e3 % 9.17/2.76 | (275) ~ (all_0_16_16 = e1) % 9.17/2.76 | % 9.17/2.76 | Equations (274) can reduce 104 to: % 9.17/2.76 | (182) ~ (all_0_10_10 = e3) % 9.17/2.76 | % 9.17/2.76 +-Applying beta-rule and splitting (1399), into two cases. % 9.17/2.76 |-Branch one: % 9.17/2.76 | (1415) ~ (all_0_5_5 = e1) % 9.17/2.76 | % 9.17/2.76 | Equations (707) can reduce 1415 to: % 9.17/2.76 | (980) ~ (all_0_15_15 = e1) % 9.17/2.76 | % 9.17/2.76 +-Applying beta-rule and splitting (67), into two cases. % 9.17/2.76 |-Branch one: % 9.17/2.76 | (457) all_0_15_15 = e3 % 9.17/2.76 | % 9.17/2.76 | Equations (457) can reduce 36 to: % 9.17/2.76 | (160) ~ (all_0_11_11 = e3) % 9.17/2.76 | % 9.17/2.76 | Equations (457) can reduce 695 to: % 9.17/2.76 | (39) ~ (e3 = e2) % 9.17/2.76 | % 9.17/2.76 | Equations (457) can reduce 980 to: % 9.17/2.76 | (102) ~ (e3 = e1) % 9.17/2.76 | % 9.17/2.76 +-Applying beta-rule and splitting (24), into two cases. % 9.17/2.76 |-Branch one: % 9.17/2.76 | (283) all_0_8_8 = e3 % 9.17/2.76 | % 9.17/2.76 +-Applying beta-rule and splitting (28), into two cases. % 9.17/2.76 |-Branch one: % 9.17/2.76 | (222) (all_0_8_8 = e2 & ~ (all_0_9_9 = e3)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e1)) % 9.17/2.76 | % 9.17/2.76 +-Applying beta-rule and splitting (222), into two cases. % 9.17/2.76 |-Branch one: % 9.17/2.76 | (223) all_0_8_8 = e2 & ~ (all_0_9_9 = e3) % 9.17/2.76 | % 9.17/2.76 | Applying alpha-rule on (223) yields: % 9.17/2.76 | (224) all_0_8_8 = e2 % 9.17/2.76 | (225) ~ (all_0_9_9 = e3) % 9.17/2.76 | % 9.17/2.76 | Combining equations (283,224) yields a new equation: % 9.17/2.76 | (430) e3 = e2 % 9.17/2.76 | % 9.17/2.76 | Simplifying 430 yields: % 9.17/2.76 | (276) e3 = e2 % 9.17/2.76 | % 9.17/2.76 | Equations (276) can reduce 39 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (229) all_0_18_18 = e2 & ~ (all_0_17_17 = e1) % 9.17/2.76 | % 9.17/2.76 | Applying alpha-rule on (229) yields: % 9.17/2.76 | (230) all_0_18_18 = e2 % 9.17/2.76 | (231) ~ (all_0_17_17 = e1) % 9.17/2.76 | % 9.17/2.76 | Combining equations (274,230) yields a new equation: % 9.17/2.76 | (430) e3 = e2 % 9.17/2.76 | % 9.17/2.76 | Simplifying 430 yields: % 9.17/2.76 | (276) e3 = e2 % 9.17/2.76 | % 9.17/2.76 | Equations (276) can reduce 39 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (474) all_0_23_23 = e2 & ~ (all_0_21_21 = e0) % 9.17/2.76 | % 9.17/2.76 | Applying alpha-rule on (474) yields: % 9.17/2.76 | (475) all_0_23_23 = e2 % 9.17/2.76 | (476) ~ (all_0_21_21 = e0) % 9.17/2.76 | % 9.17/2.76 +-Applying beta-rule and splitting (91), into two cases. % 9.17/2.76 |-Branch one: % 9.17/2.76 | (179) (all_0_8_8 = e1 & ~ (all_0_10_10 = e3)) | (all_0_13_13 = e1 & ~ (all_0_14_14 = e2)) % 9.17/2.76 | % 9.17/2.76 +-Applying beta-rule and splitting (179), into two cases. % 9.17/2.76 |-Branch one: % 9.17/2.76 | (180) all_0_8_8 = e1 & ~ (all_0_10_10 = e3) % 9.17/2.76 | % 9.17/2.76 | Applying alpha-rule on (180) yields: % 9.17/2.76 | (181) all_0_8_8 = e1 % 9.17/2.76 | (182) ~ (all_0_10_10 = e3) % 9.17/2.76 | % 9.17/2.76 | Combining equations (283,181) yields a new equation: % 9.17/2.76 | (669) e3 = e1 % 9.17/2.76 | % 9.17/2.76 | Simplifying 669 yields: % 9.17/2.76 | (271) e3 = e1 % 9.17/2.76 | % 9.17/2.76 | Equations (271) can reduce 102 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (186) all_0_13_13 = e1 & ~ (all_0_14_14 = e2) % 9.17/2.76 | % 9.17/2.76 | Applying alpha-rule on (186) yields: % 9.17/2.76 | (187) all_0_13_13 = e1 % 9.17/2.76 | (188) ~ (all_0_14_14 = e2) % 9.17/2.76 | % 9.17/2.76 | Combining equations (205,187) yields a new equation: % 9.17/2.76 | (184) e1 = e0 % 9.17/2.76 | % 9.17/2.76 | Equations (184) can reduce 53 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (550) all_0_23_23 = e1 & ~ (all_0_22_22 = e0) % 9.17/2.76 | % 9.17/2.76 | Applying alpha-rule on (550) yields: % 9.17/2.76 | (551) all_0_23_23 = e1 % 9.17/2.76 | (217) ~ (all_0_22_22 = e0) % 9.17/2.76 | % 9.17/2.76 | Combining equations (551,475) yields a new equation: % 9.17/2.76 | (599) e2 = e1 % 9.17/2.76 | % 9.17/2.76 | Equations (599) can reduce 81 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (287) ~ (all_0_8_8 = e3) % 9.17/2.76 | (813) all_0_9_9 = e3 | all_0_10_10 = e3 | all_0_11_11 = e3 % 9.17/2.76 | % 9.17/2.76 +-Applying beta-rule and splitting (813), into two cases. % 9.17/2.76 |-Branch one: % 9.17/2.76 | (249) all_0_9_9 = e3 % 9.17/2.76 | % 9.17/2.76 | Equations (249) can reduce 225 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (225) ~ (all_0_9_9 = e3) % 9.17/2.76 | (818) all_0_10_10 = e3 | all_0_11_11 = e3 % 9.17/2.76 | % 9.17/2.76 +-Applying beta-rule and splitting (818), into two cases. % 9.17/2.76 |-Branch one: % 9.17/2.76 | (819) all_0_10_10 = e3 % 9.17/2.76 | % 9.17/2.76 | Equations (819) can reduce 182 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.76 |-Branch two: % 9.17/2.76 | (182) ~ (all_0_10_10 = e3) % 9.17/2.76 | (627) all_0_11_11 = e3 % 9.17/2.76 | % 9.17/2.76 | Equations (627) can reduce 160 to: % 9.17/2.76 | (185) $false % 9.17/2.76 | % 9.17/2.76 |-The branch is then unsatisfiable % 9.17/2.77 |-Branch two: % 9.17/2.77 | (927) ~ (all_0_15_15 = e3) % 9.17/2.77 | (1124) all_0_15_15 = e2 | all_0_15_15 = e1 | all_0_15_15 = e0 % 9.17/2.77 | % 9.17/2.77 +-Applying beta-rule and splitting (1124), into two cases. % 9.17/2.77 |-Branch one: % 9.17/2.77 | (1125) all_0_15_15 = e2 % 9.17/2.77 | % 9.17/2.77 | Equations (1125) can reduce 695 to: % 9.17/2.77 | (185) $false % 9.17/2.77 | % 9.17/2.77 |-The branch is then unsatisfiable % 9.17/2.77 |-Branch two: % 9.17/2.77 | (695) ~ (all_0_15_15 = e2) % 9.17/2.77 | (1128) all_0_15_15 = e1 | all_0_15_15 = e0 % 9.17/2.77 | % 9.17/2.77 +-Applying beta-rule and splitting (1128), into two cases. % 9.17/2.77 |-Branch one: % 9.17/2.77 | (911) all_0_15_15 = e1 % 9.17/2.77 | % 9.17/2.77 | Equations (911) can reduce 980 to: % 9.17/2.77 | (185) $false % 9.17/2.77 | % 9.17/2.77 |-The branch is then unsatisfiable % 9.17/2.77 |-Branch two: % 9.17/2.77 | (980) ~ (all_0_15_15 = e1) % 9.17/2.77 | (358) all_0_15_15 = e0 % 9.17/2.77 | % 9.17/2.77 | Equations (358) can reduce 498 to: % 9.17/2.77 | (185) $false % 9.17/2.77 | % 9.17/2.77 |-The branch is then unsatisfiable % 9.17/2.77 |-Branch two: % 9.17/2.77 | (1477) all_0_5_5 = e1 % 9.17/2.77 | (208) ~ (all_0_13_13 = e0) % 9.17/2.77 | % 9.17/2.77 | Equations (205) can reduce 208 to: % 9.17/2.77 | (185) $false % 9.17/2.77 | % 9.17/2.77 |-The branch is then unsatisfiable % 9.17/2.77 |-Branch two: % 9.17/2.77 | (278) all_0_23_23 = e3 & ~ (all_0_20_20 = e0) % 9.17/2.77 | % 9.17/2.77 | Applying alpha-rule on (278) yields: % 9.17/2.77 | (279) all_0_23_23 = e3 % 9.17/2.77 | (172) ~ (all_0_20_20 = e0) % 9.17/2.77 | % 9.17/2.77 | Equations (279) can reduce 1403 to: % 9.17/2.77 | (185) $false % 9.17/2.77 | % 9.17/2.77 |-The branch is then unsatisfiable % 9.17/2.77 |-Branch two: % 9.17/2.77 | (1484) all_0_18_18 = e0 & ~ (all_0_19_19 = e1) % 9.17/2.77 | % 9.17/2.77 | Applying alpha-rule on (1484) yields: % 9.17/2.77 | (361) all_0_18_18 = e0 % 9.17/2.77 | (742) ~ (all_0_19_19 = e1) % 9.17/2.77 | % 9.17/2.77 | Equations (361) can reduce 104 to: % 9.17/2.77 | (164) ~ (all_0_10_10 = e0) % 9.17/2.77 | % 9.17/2.77 | Equations (361) can reduce 42 to: % 9.17/2.77 | (248) ~ (all_0_14_14 = e0) % 9.17/2.77 | % 9.17/2.77 | Equations (361) can reduce 118 to: % 9.17/2.77 | (170) ~ (all_0_16_16 = e0) % 9.17/2.77 | % 9.17/2.77 | Equations (361) can reduce 127 to: % 9.17/2.77 | (359) ~ (all_0_19_19 = e0) % 9.17/2.77 | % 9.17/2.77 | Simplifying 359 yields: % 9.17/2.77 | (360) ~ (all_0_19_19 = e0) % 9.17/2.77 | % 9.17/2.77 | Equations (361) can reduce 60 to: % 9.17/2.77 | (216) ~ (all_0_22_22 = e0) % 9.17/2.77 | % 9.17/2.77 | Simplifying 216 yields: % 9.17/2.77 | (217) ~ (all_0_22_22 = e0) % 9.17/2.77 | % 9.17/2.77 | From (361) and (70) follows: % 9.17/2.77 | (1494) op(e0, e1) = all_0_2_2 % 9.17/2.77 | % 9.17/2.77 | From (361) and (150) follows: % 9.17/2.77 | (1495) op(e1, e0) = all_0_3_3 % 9.17/2.77 | % 9.17/2.77 | Instantiating formula (44) with e1, e0, all_0_3_3, all_0_19_19 and discharging atoms op(e1, e0) = all_0_3_3, op(e1, e0) = all_0_19_19, yields: % 9.17/2.77 | (1496) all_0_3_3 = all_0_19_19 % 9.17/2.77 | % 9.17/2.77 | Instantiating formula (44) with e0, e1, all_0_2_2, all_0_22_22 and discharging atoms op(e0, e1) = all_0_2_2, op(e0, e1) = all_0_22_22, yields: % 9.17/2.77 | (1497) all_0_2_2 = all_0_22_22 % 9.17/2.77 | % 9.17/2.77 +-Applying beta-rule and splitting (28), into two cases. % 9.17/2.77 |-Branch one: % 9.17/2.77 | (222) (all_0_8_8 = e2 & ~ (all_0_9_9 = e3)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e1)) % 9.17/2.77 | % 9.17/2.77 +-Applying beta-rule and splitting (222), into two cases. % 9.17/2.77 |-Branch one: % 9.17/2.77 | (223) all_0_8_8 = e2 & ~ (all_0_9_9 = e3) % 9.17/2.77 | % 9.17/2.77 | Applying alpha-rule on (223) yields: % 9.17/2.77 | (224) all_0_8_8 = e2 % 9.17/2.77 | (225) ~ (all_0_9_9 = e3) % 9.17/2.77 | % 9.17/2.77 | Equations (224) can reduce 12 to: % 9.17/2.77 | (1502) ~ (all_0_9_9 = e2) % 9.17/2.77 | % 9.17/2.77 | Simplifying 1502 yields: % 9.17/2.77 | (368) ~ (all_0_9_9 = e2) % 9.17/2.77 | % 9.17/2.77 | Equations (224) can reduce 109 to: % 9.17/2.77 | (1504) ~ (all_0_10_10 = e2) % 9.17/2.77 | % 9.17/2.77 | Simplifying 1504 yields: % 9.17/2.77 | (1005) ~ (all_0_10_10 = e2) % 9.17/2.77 | % 9.17/2.77 | Equations (224) can reduce 155 to: % 9.17/2.77 | (1506) ~ (all_0_11_11 = e2) % 9.17/2.77 | % 9.17/2.77 | Simplifying 1506 yields: % 9.17/2.77 | (679) ~ (all_0_11_11 = e2) % 9.17/2.77 | % 9.17/2.77 | Equations (224) can reduce 103 to: % 9.17/2.77 | (1508) ~ (all_0_20_20 = e2) % 9.17/2.77 | % 9.17/2.77 | Simplifying 1508 yields: % 9.17/2.77 | (178) ~ (all_0_20_20 = e2) % 9.17/2.77 | % 9.17/2.77 | From (224) and (136) follows: % 9.17/2.77 | (1510) op(e2, e3) = all_0_6_6 % 9.17/2.77 | % 9.17/2.77 | From (224) and (6) follows: % 9.17/2.77 | (1511) op(e3, e2) = all_0_7_7 % 9.17/2.77 | % 9.17/2.77 | Instantiating formula (44) with e3, e2, all_0_7_7, all_0_9_9 and discharging atoms op(e3, e2) = all_0_7_7, op(e3, e2) = all_0_9_9, yields: % 9.17/2.77 | (1512) all_0_7_7 = all_0_9_9 % 9.17/2.77 | % 9.17/2.77 | Instantiating formula (44) with e2, e3, all_0_6_6, all_0_12_12 and discharging atoms op(e2, e3) = all_0_6_6, op(e2, e3) = all_0_12_12, yields: % 9.17/2.77 | (1513) all_0_6_6 = all_0_12_12 % 9.17/2.77 | % 9.17/2.77 +-Applying beta-rule and splitting (107), into two cases. % 9.17/2.77 |-Branch one: % 9.17/2.77 | (1514) ~ (all_0_2_2 = e3) % 9.17/2.77 | % 9.17/2.77 | Equations (1497) can reduce 1514 to: % 9.17/2.77 | (408) ~ (all_0_22_22 = e3) % 9.17/2.77 | % 9.17/2.77 +-Applying beta-rule and splitting (57), into two cases. % 9.17/2.77 |-Branch one: % 9.17/2.77 | (1516) ~ (all_0_6_6 = e0) % 9.17/2.77 | % 9.17/2.77 | Equations (1513) can reduce 1516 to: % 9.17/2.77 | (168) ~ (all_0_12_12 = e0) % 9.17/2.77 | % 9.17/2.77 +-Applying beta-rule and splitting (146), into two cases. % 9.17/2.77 |-Branch one: % 9.17/2.77 | (159) all_0_8_8 = e0 % 9.17/2.77 | % 9.17/2.77 | Combining equations (224,159) yields a new equation: % 9.17/2.77 | (226) e2 = e0 % 9.17/2.77 | % 9.17/2.77 | Simplifying 226 yields: % 9.17/2.77 | (227) e2 = e0 % 9.17/2.77 | % 9.17/2.77 | Equations (227) can reduce 92 to: % 9.17/2.77 | (185) $false % 9.17/2.77 | % 9.17/2.77 |-The branch is then unsatisfiable % 9.17/2.77 |-Branch two: % 9.17/2.77 | (687) ~ (all_0_8_8 = e0) % 9.17/2.77 | (867) all_0_12_12 = e0 | all_0_16_16 = e0 | all_0_20_20 = e0 % 9.17/2.77 | % 9.17/2.77 +-Applying beta-rule and splitting (867), into two cases. % 9.17/2.77 |-Branch one: % 9.17/2.77 | (324) all_0_12_12 = e0 % 9.17/2.77 | % 9.17/2.77 | Equations (324) can reduce 168 to: % 9.17/2.77 | (185) $false % 9.17/2.77 | % 9.17/2.77 |-The branch is then unsatisfiable % 9.17/2.77 |-Branch two: % 9.17/2.77 | (168) ~ (all_0_12_12 = e0) % 9.17/2.77 | (871) all_0_16_16 = e0 | all_0_20_20 = e0 % 9.17/2.77 | % 9.17/2.77 +-Applying beta-rule and splitting (871), into two cases. % 9.17/2.77 |-Branch one: % 9.17/2.77 | (339) all_0_16_16 = e0 % 9.17/2.77 | % 9.17/2.77 | Equations (339) can reduce 170 to: % 9.17/2.77 | (185) $false % 9.17/2.77 | % 9.17/2.77 |-The branch is then unsatisfiable % 9.17/2.77 |-Branch two: % 9.17/2.77 | (170) ~ (all_0_16_16 = e0) % 9.17/2.77 | (376) all_0_20_20 = e0 % 9.17/2.77 | % 9.17/2.77 | Equations (376) can reduce 122 to: % 9.17/2.77 | (168) ~ (all_0_12_12 = e0) % 9.17/2.77 | % 9.17/2.77 | Equations (376) can reduce 178 to: % 9.17/2.77 | (501) ~ (e2 = e0) % 9.17/2.77 | % 9.17/2.77 | Simplifying 501 yields: % 9.17/2.77 | (92) ~ (e2 = e0) % 9.17/2.77 | % 9.17/2.77 +-Applying beta-rule and splitting (138), into two cases. % 9.17/2.77 |-Branch one: % 9.17/2.77 | (267) (all_0_13_13 = e3 & ~ (all_0_12_12 = e2)) | (all_0_18_18 = e3 & ~ (all_0_16_16 = e1)) % 9.17/2.77 | % 9.17/2.77 +-Applying beta-rule and splitting (267), into two cases. % 9.17/2.77 |-Branch one: % 9.17/2.77 | (268) all_0_13_13 = e3 & ~ (all_0_12_12 = e2) % 9.17/2.77 | % 9.17/2.77 | Applying alpha-rule on (268) yields: % 9.17/2.77 | (269) all_0_13_13 = e3 % 9.17/2.77 | (270) ~ (all_0_12_12 = e2) % 9.17/2.77 | % 9.17/2.77 | Equations (269) can reduce 97 to: % 9.17/2.77 | (1539) ~ (all_0_14_14 = e3) % 9.17/2.77 | % 9.17/2.77 | Simplifying 1539 yields: % 9.17/2.77 | (456) ~ (all_0_14_14 = e3) % 9.17/2.77 | % 9.17/2.77 | Equations (269) can reduce 101 to: % 9.17/2.77 | (1541) ~ (all_0_15_15 = e3) % 9.17/2.77 | % 9.17/2.77 | Simplifying 1541 yields: % 9.17/2.77 | (927) ~ (all_0_15_15 = e3) % 9.17/2.77 | % 9.17/2.77 +-Applying beta-rule and splitting (18), into two cases. % 9.17/2.77 |-Branch one: % 9.17/2.77 | (819) all_0_10_10 = e3 % 9.17/2.77 | % 9.17/2.77 | Equations (819) can reduce 14 to: % 9.17/2.77 | (914) ~ (all_0_11_11 = e3) % 9.17/2.77 | % 9.17/2.77 | Simplifying 914 yields: % 9.17/2.77 | (160) ~ (all_0_11_11 = e3) % 9.17/2.77 | % 9.17/2.77 | Equations (819) can reduce 164 to: % 9.17/2.77 | (117) ~ (e3 = e0) % 9.17/2.77 | % 9.17/2.77 +-Applying beta-rule and splitting (91), into two cases. % 9.17/2.77 |-Branch one: % 9.17/2.77 | (179) (all_0_8_8 = e1 & ~ (all_0_10_10 = e3)) | (all_0_13_13 = e1 & ~ (all_0_14_14 = e2)) % 9.17/2.77 | % 9.17/2.77 +-Applying beta-rule and splitting (179), into two cases. % 9.17/2.77 |-Branch one: % 9.17/2.77 | (180) all_0_8_8 = e1 & ~ (all_0_10_10 = e3) % 9.17/2.77 | % 9.17/2.77 | Applying alpha-rule on (180) yields: % 9.17/2.77 | (181) all_0_8_8 = e1 % 9.17/2.77 | (182) ~ (all_0_10_10 = e3) % 9.17/2.77 | % 9.17/2.77 | Combining equations (224,181) yields a new equation: % 9.17/2.77 | (598) e2 = e1 % 9.17/2.77 | % 9.17/2.77 | Simplifying 598 yields: % 9.17/2.77 | (599) e2 = e1 % 9.17/2.77 | % 9.17/2.77 | Equations (599) can reduce 81 to: % 9.17/2.77 | (185) $false % 9.17/2.77 | % 9.17/2.77 |-The branch is then unsatisfiable % 9.17/2.77 |-Branch two: % 9.17/2.77 | (186) all_0_13_13 = e1 & ~ (all_0_14_14 = e2) % 9.17/2.77 | % 9.17/2.77 | Applying alpha-rule on (186) yields: % 9.17/2.77 | (187) all_0_13_13 = e1 % 9.17/2.77 | (188) ~ (all_0_14_14 = e2) % 9.17/2.77 | % 9.17/2.77 | Combining equations (187,269) yields a new equation: % 9.17/2.77 | (271) e3 = e1 % 9.17/2.77 | % 9.17/2.77 | Equations (271) can reduce 102 to: % 9.17/2.77 | (185) $false % 9.17/2.77 | % 9.17/2.77 |-The branch is then unsatisfiable % 9.17/2.77 |-Branch two: % 9.17/2.77 | (550) all_0_23_23 = e1 & ~ (all_0_22_22 = e0) % 9.17/2.77 | % 9.17/2.77 | Applying alpha-rule on (550) yields: % 9.17/2.77 | (551) all_0_23_23 = e1 % 9.17/2.77 | (217) ~ (all_0_22_22 = e0) % 9.17/2.77 | % 9.17/2.77 | Equations (551) can reduce 19 to: % 9.17/2.77 | (626) ~ (all_0_11_11 = e1) % 9.17/2.77 | % 9.17/2.77 +-Applying beta-rule and splitting (59), into two cases. % 9.17/2.77 |-Branch one: % 9.17/2.77 | (324) all_0_12_12 = e0 % 9.17/2.77 | % 9.17/2.77 | Equations (324) can reduce 168 to: % 9.17/2.77 | (185) $false % 9.17/2.77 | % 9.17/2.77 |-The branch is then unsatisfiable % 9.17/2.77 |-Branch two: % 9.17/2.77 | (168) ~ (all_0_12_12 = e0) % 9.17/2.77 | (329) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0 % 9.17/2.77 | % 9.17/2.77 +-Applying beta-rule and splitting (329), into two cases. % 9.17/2.77 |-Branch one: % 9.17/2.77 | (205) all_0_13_13 = e0 % 9.17/2.77 | % 9.17/2.77 | Combining equations (269,205) yields a new equation: % 9.17/2.77 | (284) e3 = e0 % 9.17/2.77 | % 9.17/2.77 | Simplifying 284 yields: % 9.17/2.77 | (285) e3 = e0 % 9.17/2.77 | % 9.17/2.77 | Equations (285) can reduce 117 to: % 9.17/2.77 | (185) $false % 9.17/2.77 | % 9.17/2.77 |-The branch is then unsatisfiable % 9.17/2.77 |-Branch two: % 9.17/2.77 | (208) ~ (all_0_13_13 = e0) % 9.17/2.77 | (348) all_0_14_14 = e0 | all_0_15_15 = e0 % 9.17/2.77 | % 9.17/2.77 +-Applying beta-rule and splitting (348), into two cases. % 9.17/2.77 |-Branch one: % 9.17/2.77 | (257) all_0_14_14 = e0 % 9.17/2.77 | % 9.17/2.77 | Equations (257) can reduce 248 to: % 9.17/2.77 | (185) $false % 9.17/2.77 | % 9.17/2.77 |-The branch is then unsatisfiable % 9.17/2.77 |-Branch two: % 9.17/2.77 | (248) ~ (all_0_14_14 = e0) % 9.17/2.77 | (358) all_0_15_15 = e0 % 9.17/2.77 | % 9.17/2.77 | Equations (358) can reduce 36 to: % 9.17/2.77 | (166) ~ (all_0_11_11 = e0) % 9.17/2.77 | % 9.17/2.77 +-Applying beta-rule and splitting (47), into two cases. % 9.17/2.77 |-Branch one: % 9.17/2.77 | (631) all_0_11_11 = e2 % 9.17/2.77 | % 9.17/2.77 | Equations (631) can reduce 679 to: % 9.17/2.77 | (185) $false % 9.17/2.77 | % 9.17/2.77 |-The branch is then unsatisfiable % 9.17/2.77 |-Branch two: % 9.17/2.77 | (679) ~ (all_0_11_11 = e2) % 9.17/2.77 | (1581) all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2 % 9.17/2.77 | % 9.17/2.77 +-Applying beta-rule and splitting (1581), into two cases. % 9.17/2.77 |-Branch one: % 9.17/2.77 | (1125) all_0_15_15 = e2 % 9.17/2.77 | % 9.17/2.77 | Combining equations (358,1125) yields a new equation: % 9.17/2.77 | (227) e2 = e0 % 9.17/2.77 | % 9.17/2.77 | Equations (227) can reduce 92 to: % 9.17/2.77 | (185) $false % 9.17/2.77 | % 9.17/2.77 |-The branch is then unsatisfiable % 9.17/2.77 |-Branch two: % 9.17/2.77 | (695) ~ (all_0_15_15 = e2) % 9.17/2.77 | (1586) all_0_19_19 = e2 | all_0_23_23 = e2 % 9.17/2.77 | % 9.17/2.77 +-Applying beta-rule and splitting (1586), into two cases. % 9.17/2.77 |-Branch one: % 9.17/2.77 | (803) all_0_19_19 = e2 % 9.17/2.77 | % 9.17/2.77 | Equations (803) can reduce 131 to: % 9.17/2.77 | (679) ~ (all_0_11_11 = e2) % 9.17/2.77 | % 9.17/2.77 +-Applying beta-rule and splitting (54), into two cases. % 9.17/2.77 |-Branch one: % 9.17/2.77 | (627) all_0_11_11 = e3 % 9.17/2.77 | % 9.17/2.77 | Equations (627) can reduce 160 to: % 9.17/2.77 | (185) $false % 9.17/2.77 | % 9.17/2.77 |-The branch is then unsatisfiable % 9.17/2.77 |-Branch two: % 9.17/2.78 | (160) ~ (all_0_11_11 = e3) % 9.17/2.78 | (630) all_0_11_11 = e2 | all_0_11_11 = e1 | all_0_11_11 = e0 % 9.17/2.78 | % 9.17/2.78 +-Applying beta-rule and splitting (630), into two cases. % 9.17/2.78 |-Branch one: % 9.17/2.78 | (631) all_0_11_11 = e2 % 9.17/2.78 | % 9.17/2.78 | Equations (631) can reduce 679 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (679) ~ (all_0_11_11 = e2) % 9.17/2.78 | (680) all_0_11_11 = e1 | all_0_11_11 = e0 % 9.17/2.78 | % 9.17/2.78 +-Applying beta-rule and splitting (680), into two cases. % 9.17/2.78 |-Branch one: % 9.17/2.78 | (681) all_0_11_11 = e1 % 9.17/2.78 | % 9.17/2.78 | Equations (681) can reduce 626 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (626) ~ (all_0_11_11 = e1) % 9.17/2.78 | (503) all_0_11_11 = e0 % 9.17/2.78 | % 9.17/2.78 | Equations (503) can reduce 166 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (760) ~ (all_0_19_19 = e2) % 9.17/2.78 | (475) all_0_23_23 = e2 % 9.17/2.78 | % 9.17/2.78 | Combining equations (551,475) yields a new equation: % 9.17/2.78 | (599) e2 = e1 % 9.17/2.78 | % 9.17/2.78 | Equations (599) can reduce 81 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (182) ~ (all_0_10_10 = e3) % 9.17/2.78 | (1607) all_0_14_14 = e3 | all_0_18_18 = e3 | all_0_22_22 = e3 % 9.17/2.78 | % 9.17/2.78 +-Applying beta-rule and splitting (59), into two cases. % 9.17/2.78 |-Branch one: % 9.17/2.78 | (324) all_0_12_12 = e0 % 9.17/2.78 | % 9.17/2.78 | Equations (324) can reduce 168 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (168) ~ (all_0_12_12 = e0) % 9.17/2.78 | (329) all_0_13_13 = e0 | all_0_14_14 = e0 | all_0_15_15 = e0 % 9.17/2.78 | % 9.17/2.78 +-Applying beta-rule and splitting (329), into two cases. % 9.17/2.78 |-Branch one: % 9.17/2.78 | (205) all_0_13_13 = e0 % 9.17/2.78 | % 9.17/2.78 | Combining equations (269,205) yields a new equation: % 9.17/2.78 | (284) e3 = e0 % 9.17/2.78 | % 9.17/2.78 | Simplifying 284 yields: % 9.17/2.78 | (285) e3 = e0 % 9.17/2.78 | % 9.17/2.78 | Equations (285) can reduce 117 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (208) ~ (all_0_13_13 = e0) % 9.17/2.78 | (348) all_0_14_14 = e0 | all_0_15_15 = e0 % 9.17/2.78 | % 9.17/2.78 +-Applying beta-rule and splitting (1607), into two cases. % 9.17/2.78 |-Branch one: % 9.17/2.78 | (405) all_0_14_14 = e3 % 9.17/2.78 | % 9.17/2.78 | Equations (405) can reduce 456 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (456) ~ (all_0_14_14 = e3) % 9.17/2.78 | (1621) all_0_18_18 = e3 | all_0_22_22 = e3 % 9.17/2.78 | % 9.17/2.78 +-Applying beta-rule and splitting (348), into two cases. % 9.17/2.78 |-Branch one: % 9.17/2.78 | (257) all_0_14_14 = e0 % 9.17/2.78 | % 9.17/2.78 | Equations (257) can reduce 248 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (248) ~ (all_0_14_14 = e0) % 9.17/2.78 | (358) all_0_15_15 = e0 % 9.17/2.78 | % 9.17/2.78 | Equations (358) can reduce 927 to: % 9.17/2.78 | (499) ~ (e3 = e0) % 9.17/2.78 | % 9.17/2.78 | Simplifying 499 yields: % 9.17/2.78 | (117) ~ (e3 = e0) % 9.17/2.78 | % 9.17/2.78 +-Applying beta-rule and splitting (1621), into two cases. % 9.17/2.78 |-Branch one: % 9.17/2.78 | (274) all_0_18_18 = e3 % 9.17/2.78 | % 9.17/2.78 | Combining equations (274,361) yields a new equation: % 9.17/2.78 | (284) e3 = e0 % 9.17/2.78 | % 9.17/2.78 | Simplifying 284 yields: % 9.17/2.78 | (285) e3 = e0 % 9.17/2.78 | % 9.17/2.78 | Equations (285) can reduce 117 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (930) ~ (all_0_18_18 = e3) % 9.17/2.78 | (410) all_0_22_22 = e3 % 9.17/2.78 | % 9.17/2.78 | Equations (410) can reduce 408 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (273) all_0_18_18 = e3 & ~ (all_0_16_16 = e1) % 9.17/2.78 | % 9.17/2.78 | Applying alpha-rule on (273) yields: % 9.17/2.78 | (274) all_0_18_18 = e3 % 9.17/2.78 | (275) ~ (all_0_16_16 = e1) % 9.17/2.78 | % 9.17/2.78 | Combining equations (361,274) yields a new equation: % 9.17/2.78 | (285) e3 = e0 % 9.17/2.78 | % 9.17/2.78 | Equations (285) can reduce 117 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (278) all_0_23_23 = e3 & ~ (all_0_20_20 = e0) % 9.17/2.78 | % 9.17/2.78 | Applying alpha-rule on (278) yields: % 9.17/2.78 | (279) all_0_23_23 = e3 % 9.17/2.78 | (172) ~ (all_0_20_20 = e0) % 9.17/2.78 | % 9.17/2.78 | Equations (376) can reduce 172 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (1644) all_0_6_6 = e0 % 9.17/2.78 | (1645) ~ (all_0_7_7 = e1) | ~ (all_0_8_8 = e2) % 9.17/2.78 | % 9.17/2.78 | Combining equations (1513,1644) yields a new equation: % 9.17/2.78 | (1646) all_0_12_12 = e0 % 9.17/2.78 | % 9.17/2.78 | Simplifying 1646 yields: % 9.17/2.78 | (324) all_0_12_12 = e0 % 9.17/2.78 | % 9.17/2.78 | Equations (324) can reduce 122 to: % 9.17/2.78 | (171) ~ (all_0_20_20 = e0) % 9.17/2.78 | % 9.17/2.78 | Simplifying 171 yields: % 9.17/2.78 | (172) ~ (all_0_20_20 = e0) % 9.17/2.78 | % 9.17/2.78 +-Applying beta-rule and splitting (1645), into two cases. % 9.17/2.78 |-Branch one: % 9.17/2.78 | (625) ~ (all_0_7_7 = e1) % 9.17/2.78 | % 9.17/2.78 | Equations (1512) can reduce 625 to: % 9.17/2.78 | (189) ~ (all_0_9_9 = e1) % 9.17/2.78 | % 9.17/2.78 +-Applying beta-rule and splitting (50), into two cases. % 9.17/2.78 |-Branch one: % 9.17/2.78 | (249) all_0_9_9 = e3 % 9.17/2.78 | % 9.17/2.78 | Equations (249) can reduce 225 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (225) ~ (all_0_9_9 = e3) % 9.17/2.78 | (252) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0 % 9.17/2.78 | % 9.17/2.78 +-Applying beta-rule and splitting (252), into two cases. % 9.17/2.78 |-Branch one: % 9.17/2.78 | (337) all_0_9_9 = e2 % 9.17/2.78 | % 9.17/2.78 | Equations (337) can reduce 368 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (368) ~ (all_0_9_9 = e2) % 9.17/2.78 | (369) all_0_9_9 = e1 | all_0_9_9 = e0 % 9.17/2.78 | % 9.17/2.78 +-Applying beta-rule and splitting (369), into two cases. % 9.17/2.78 |-Branch one: % 9.17/2.78 | (370) all_0_9_9 = e1 % 9.17/2.78 | % 9.17/2.78 | Equations (370) can reduce 189 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (189) ~ (all_0_9_9 = e1) % 9.17/2.78 | (201) all_0_9_9 = e0 % 9.17/2.78 | % 9.17/2.78 | Equations (201) can reduce 9 to: % 9.17/2.78 | (703) ~ (all_0_21_21 = e0) % 9.17/2.78 | % 9.17/2.78 | Simplifying 703 yields: % 9.17/2.78 | (476) ~ (all_0_21_21 = e0) % 9.17/2.78 | % 9.17/2.78 | Equations (201) can reduce 225 to: % 9.17/2.78 | (499) ~ (e3 = e0) % 9.17/2.78 | % 9.17/2.78 | Simplifying 499 yields: % 9.17/2.78 | (117) ~ (e3 = e0) % 9.17/2.78 | % 9.17/2.78 | Equations (201) can reduce 189 to: % 9.17/2.78 | (220) ~ (e1 = e0) % 9.17/2.78 | % 9.17/2.78 | Simplifying 220 yields: % 9.17/2.78 | (53) ~ (e1 = e0) % 9.17/2.78 | % 9.17/2.78 +-Applying beta-rule and splitting (124), into two cases. % 9.17/2.78 |-Branch one: % 9.17/2.78 | (376) all_0_20_20 = e0 % 9.17/2.78 | % 9.17/2.78 | Equations (376) can reduce 172 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (172) ~ (all_0_20_20 = e0) % 9.17/2.78 | (571) all_0_21_21 = e0 | all_0_22_22 = e0 | all_0_23_23 = e0 % 9.17/2.78 | % 9.17/2.78 +-Applying beta-rule and splitting (571), into two cases. % 9.17/2.78 |-Branch one: % 9.17/2.78 | (213) all_0_21_21 = e0 % 9.17/2.78 | % 9.17/2.78 | Equations (213) can reduce 476 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (476) ~ (all_0_21_21 = e0) % 9.17/2.78 | (585) all_0_22_22 = e0 | all_0_23_23 = e0 % 9.17/2.78 | % 9.17/2.78 +-Applying beta-rule and splitting (585), into two cases. % 9.17/2.78 |-Branch one: % 9.17/2.78 | (454) all_0_22_22 = e0 % 9.17/2.78 | % 9.17/2.78 | Equations (454) can reduce 217 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (217) ~ (all_0_22_22 = e0) % 9.17/2.78 | (514) all_0_23_23 = e0 % 9.17/2.78 | % 9.17/2.78 +-Applying beta-rule and splitting (138), into two cases. % 9.17/2.78 |-Branch one: % 9.17/2.78 | (267) (all_0_13_13 = e3 & ~ (all_0_12_12 = e2)) | (all_0_18_18 = e3 & ~ (all_0_16_16 = e1)) % 9.17/2.78 | % 9.17/2.78 +-Applying beta-rule and splitting (267), into two cases. % 9.17/2.78 |-Branch one: % 9.17/2.78 | (268) all_0_13_13 = e3 & ~ (all_0_12_12 = e2) % 9.17/2.78 | % 9.17/2.78 | Applying alpha-rule on (268) yields: % 9.17/2.78 | (269) all_0_13_13 = e3 % 9.17/2.78 | (270) ~ (all_0_12_12 = e2) % 9.17/2.78 | % 9.17/2.78 +-Applying beta-rule and splitting (91), into two cases. % 9.17/2.78 |-Branch one: % 9.17/2.78 | (179) (all_0_8_8 = e1 & ~ (all_0_10_10 = e3)) | (all_0_13_13 = e1 & ~ (all_0_14_14 = e2)) % 9.17/2.78 | % 9.17/2.78 +-Applying beta-rule and splitting (179), into two cases. % 9.17/2.78 |-Branch one: % 9.17/2.78 | (180) all_0_8_8 = e1 & ~ (all_0_10_10 = e3) % 9.17/2.78 | % 9.17/2.78 | Applying alpha-rule on (180) yields: % 9.17/2.78 | (181) all_0_8_8 = e1 % 9.17/2.78 | (182) ~ (all_0_10_10 = e3) % 9.17/2.78 | % 9.17/2.78 | Combining equations (224,181) yields a new equation: % 9.17/2.78 | (598) e2 = e1 % 9.17/2.78 | % 9.17/2.78 | Simplifying 598 yields: % 9.17/2.78 | (599) e2 = e1 % 9.17/2.78 | % 9.17/2.78 | Equations (599) can reduce 81 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (186) all_0_13_13 = e1 & ~ (all_0_14_14 = e2) % 9.17/2.78 | % 9.17/2.78 | Applying alpha-rule on (186) yields: % 9.17/2.78 | (187) all_0_13_13 = e1 % 9.17/2.78 | (188) ~ (all_0_14_14 = e2) % 9.17/2.78 | % 9.17/2.78 | Combining equations (187,269) yields a new equation: % 9.17/2.78 | (271) e3 = e1 % 9.17/2.78 | % 9.17/2.78 | Equations (271) can reduce 102 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (550) all_0_23_23 = e1 & ~ (all_0_22_22 = e0) % 9.17/2.78 | % 9.17/2.78 | Applying alpha-rule on (550) yields: % 9.17/2.78 | (551) all_0_23_23 = e1 % 9.17/2.78 | (217) ~ (all_0_22_22 = e0) % 9.17/2.78 | % 9.17/2.78 | Combining equations (551,514) yields a new equation: % 9.17/2.78 | (183) e1 = e0 % 9.17/2.78 | % 9.17/2.78 | Simplifying 183 yields: % 9.17/2.78 | (184) e1 = e0 % 9.17/2.78 | % 9.17/2.78 | Equations (184) can reduce 53 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (273) all_0_18_18 = e3 & ~ (all_0_16_16 = e1) % 9.17/2.78 | % 9.17/2.78 | Applying alpha-rule on (273) yields: % 9.17/2.78 | (274) all_0_18_18 = e3 % 9.17/2.78 | (275) ~ (all_0_16_16 = e1) % 9.17/2.78 | % 9.17/2.78 | Combining equations (361,274) yields a new equation: % 9.17/2.78 | (285) e3 = e0 % 9.17/2.78 | % 9.17/2.78 | Equations (285) can reduce 117 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (278) all_0_23_23 = e3 & ~ (all_0_20_20 = e0) % 9.17/2.78 | % 9.17/2.78 | Applying alpha-rule on (278) yields: % 9.17/2.78 | (279) all_0_23_23 = e3 % 9.17/2.78 | (172) ~ (all_0_20_20 = e0) % 9.17/2.78 | % 9.17/2.78 | Combining equations (279,514) yields a new equation: % 9.17/2.78 | (284) e3 = e0 % 9.17/2.78 | % 9.17/2.78 | Simplifying 284 yields: % 9.17/2.78 | (285) e3 = e0 % 9.17/2.78 | % 9.17/2.78 | Equations (285) can reduce 117 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (686) all_0_7_7 = e1 % 9.17/2.78 | (264) ~ (all_0_8_8 = e2) % 9.17/2.78 | % 9.17/2.78 | Equations (224) can reduce 264 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (1718) all_0_2_2 = e3 % 9.17/2.78 | (1719) ~ (all_0_3_3 = e2) | ~ (all_0_18_18 = e0) % 9.17/2.78 | % 9.17/2.78 | Combining equations (1718,1497) yields a new equation: % 9.17/2.78 | (410) all_0_22_22 = e3 % 9.17/2.78 | % 9.17/2.78 +-Applying beta-rule and splitting (11), into two cases. % 9.17/2.78 |-Branch one: % 9.17/2.78 | (1261) all_0_10_10 = e2 % 9.17/2.78 | % 9.17/2.78 | Equations (1261) can reduce 1005 to: % 9.17/2.78 | (185) $false % 9.17/2.78 | % 9.17/2.78 |-The branch is then unsatisfiable % 9.17/2.78 |-Branch two: % 9.17/2.78 | (1005) ~ (all_0_10_10 = e2) % 9.17/2.78 | (1266) all_0_14_14 = e2 | all_0_18_18 = e2 | all_0_22_22 = e2 % 9.17/2.78 | % 9.17/2.79 +-Applying beta-rule and splitting (1266), into two cases. % 9.17/2.79 |-Branch one: % 9.17/2.79 | (489) all_0_14_14 = e2 % 9.17/2.79 | % 9.17/2.79 | Equations (489) can reduce 20 to: % 9.17/2.79 | (1726) ~ (all_0_15_15 = e2) % 9.17/2.79 | % 9.17/2.79 | Simplifying 1726 yields: % 9.17/2.79 | (695) ~ (all_0_15_15 = e2) % 9.17/2.79 | % 9.17/2.79 +-Applying beta-rule and splitting (91), into two cases. % 9.17/2.79 |-Branch one: % 9.17/2.79 | (179) (all_0_8_8 = e1 & ~ (all_0_10_10 = e3)) | (all_0_13_13 = e1 & ~ (all_0_14_14 = e2)) % 9.17/2.79 | % 9.17/2.79 +-Applying beta-rule and splitting (179), into two cases. % 9.17/2.79 |-Branch one: % 9.17/2.79 | (180) all_0_8_8 = e1 & ~ (all_0_10_10 = e3) % 9.17/2.79 | % 9.17/2.79 | Applying alpha-rule on (180) yields: % 9.17/2.79 | (181) all_0_8_8 = e1 % 9.17/2.79 | (182) ~ (all_0_10_10 = e3) % 9.17/2.79 | % 9.17/2.79 | Combining equations (224,181) yields a new equation: % 9.17/2.79 | (598) e2 = e1 % 9.17/2.79 | % 9.17/2.79 | Simplifying 598 yields: % 9.17/2.79 | (599) e2 = e1 % 9.17/2.79 | % 9.17/2.79 | Equations (599) can reduce 81 to: % 9.17/2.79 | (185) $false % 9.17/2.79 | % 9.17/2.79 |-The branch is then unsatisfiable % 9.17/2.79 |-Branch two: % 9.17/2.79 | (186) all_0_13_13 = e1 & ~ (all_0_14_14 = e2) % 9.17/2.79 | % 9.17/2.79 | Applying alpha-rule on (186) yields: % 9.17/2.79 | (187) all_0_13_13 = e1 % 9.17/2.79 | (188) ~ (all_0_14_14 = e2) % 9.17/2.79 | % 9.17/2.79 | Equations (489) can reduce 188 to: % 9.17/2.79 | (185) $false % 9.17/2.79 | % 9.17/2.79 |-The branch is then unsatisfiable % 9.17/2.79 |-Branch two: % 9.17/2.79 | (550) all_0_23_23 = e1 & ~ (all_0_22_22 = e0) % 9.17/2.79 | % 9.17/2.79 | Applying alpha-rule on (550) yields: % 9.17/2.79 | (551) all_0_23_23 = e1 % 9.17/2.79 | (217) ~ (all_0_22_22 = e0) % 9.17/2.79 | % 9.17/2.79 +-Applying beta-rule and splitting (47), into two cases. % 9.17/2.79 |-Branch one: % 9.17/2.79 | (631) all_0_11_11 = e2 % 9.17/2.79 | % 9.17/2.79 | Equations (631) can reduce 679 to: % 9.17/2.79 | (185) $false % 9.17/2.79 | % 9.17/2.79 |-The branch is then unsatisfiable % 9.17/2.79 |-Branch two: % 9.17/2.79 | (679) ~ (all_0_11_11 = e2) % 9.17/2.79 | (1581) all_0_15_15 = e2 | all_0_19_19 = e2 | all_0_23_23 = e2 % 9.17/2.79 | % 9.17/2.79 +-Applying beta-rule and splitting (1581), into two cases. % 9.17/2.79 |-Branch one: % 9.17/2.79 | (1125) all_0_15_15 = e2 % 9.17/2.79 | % 9.17/2.79 | Equations (1125) can reduce 695 to: % 9.17/2.79 | (185) $false % 9.17/2.79 | % 9.17/2.79 |-The branch is then unsatisfiable % 9.17/2.79 |-Branch two: % 9.17/2.79 | (695) ~ (all_0_15_15 = e2) % 9.17/2.79 | (1586) all_0_19_19 = e2 | all_0_23_23 = e2 % 9.17/2.79 | % 9.17/2.79 +-Applying beta-rule and splitting (1586), into two cases. % 9.17/2.79 |-Branch one: % 9.17/2.79 | (803) all_0_19_19 = e2 % 9.17/2.79 | % 9.17/2.79 | Combining equations (803,1496) yields a new equation: % 9.17/2.79 | (1751) all_0_3_3 = e2 % 9.17/2.79 | % 9.17/2.79 +-Applying beta-rule and splitting (1719), into two cases. % 9.17/2.79 |-Branch one: % 9.17/2.79 | (1752) ~ (all_0_3_3 = e2) % 9.17/2.79 | % 9.17/2.79 | Equations (1751) can reduce 1752 to: % 9.17/2.79 | (185) $false % 9.17/2.79 | % 9.17/2.79 |-The branch is then unsatisfiable % 9.17/2.79 |-Branch two: % 9.17/2.79 | (1751) all_0_3_3 = e2 % 9.17/2.79 | (365) ~ (all_0_18_18 = e0) % 9.17/2.79 | % 9.17/2.79 | Equations (361) can reduce 365 to: % 9.17/2.79 | (185) $false % 9.17/2.79 | % 9.17/2.79 |-The branch is then unsatisfiable % 9.57/2.79 |-Branch two: % 9.57/2.79 | (760) ~ (all_0_19_19 = e2) % 9.57/2.79 | (475) all_0_23_23 = e2 % 9.57/2.79 | % 9.57/2.79 | Combining equations (475,551) yields a new equation: % 9.57/2.79 | (598) e2 = e1 % 9.57/2.79 | % 9.57/2.79 | Simplifying 598 yields: % 9.57/2.79 | (599) e2 = e1 % 9.57/2.79 | % 9.57/2.79 | Equations (599) can reduce 81 to: % 9.57/2.79 | (185) $false % 9.57/2.79 | % 9.57/2.79 |-The branch is then unsatisfiable % 9.57/2.79 |-Branch two: % 9.57/2.79 | (188) ~ (all_0_14_14 = e2) % 9.57/2.79 | (1271) all_0_18_18 = e2 | all_0_22_22 = e2 % 9.57/2.79 | % 9.57/2.79 +-Applying beta-rule and splitting (1271), into two cases. % 9.57/2.79 |-Branch one: % 9.57/2.79 | (230) all_0_18_18 = e2 % 9.57/2.79 | % 9.57/2.79 | Combining equations (361,230) yields a new equation: % 9.57/2.79 | (227) e2 = e0 % 9.57/2.79 | % 9.57/2.79 | Equations (227) can reduce 92 to: % 9.57/2.79 | (185) $false % 9.57/2.79 | % 9.57/2.79 |-The branch is then unsatisfiable % 9.57/2.79 |-Branch two: % 9.57/2.79 | (1275) ~ (all_0_18_18 = e2) % 9.57/2.79 | (414) all_0_22_22 = e2 % 9.57/2.79 | % 9.57/2.79 | Combining equations (410,414) yields a new equation: % 9.57/2.79 | (430) e3 = e2 % 9.57/2.79 | % 9.57/2.79 | Simplifying 430 yields: % 9.57/2.79 | (276) e3 = e2 % 9.57/2.79 | % 9.57/2.79 | Equations (276) can reduce 39 to: % 9.57/2.79 | (185) $false % 9.57/2.79 | % 9.57/2.79 |-The branch is then unsatisfiable % 9.57/2.79 |-Branch two: % 9.57/2.79 | (229) all_0_18_18 = e2 & ~ (all_0_17_17 = e1) % 9.57/2.79 | % 9.57/2.79 | Applying alpha-rule on (229) yields: % 9.57/2.79 | (230) all_0_18_18 = e2 % 9.57/2.79 | (231) ~ (all_0_17_17 = e1) % 9.57/2.79 | % 9.57/2.79 | Combining equations (230,361) yields a new equation: % 9.57/2.79 | (226) e2 = e0 % 9.57/2.79 | % 9.57/2.79 | Simplifying 226 yields: % 9.57/2.79 | (227) e2 = e0 % 9.57/2.79 | % 9.57/2.79 | Equations (227) can reduce 92 to: % 9.57/2.79 | (185) $false % 9.57/2.79 | % 9.57/2.79 |-The branch is then unsatisfiable % 9.57/2.79 |-Branch two: % 9.57/2.79 | (474) all_0_23_23 = e2 & ~ (all_0_21_21 = e0) % 9.57/2.79 | % 9.57/2.79 | Applying alpha-rule on (474) yields: % 9.57/2.79 | (475) all_0_23_23 = e2 % 9.57/2.79 | (476) ~ (all_0_21_21 = e0) % 9.57/2.79 | % 9.57/2.79 | Equations (475) can reduce 19 to: % 9.57/2.79 | (679) ~ (all_0_11_11 = e2) % 9.57/2.79 | % 9.57/2.79 | Equations (475) can reduce 15 to: % 9.57/2.79 | (695) ~ (all_0_15_15 = e2) % 9.57/2.79 | % 9.57/2.79 | Equations (475) can reduce 69 to: % 9.57/2.79 | (592) ~ (all_0_21_21 = e2) % 9.57/2.79 | % 9.57/2.79 +-Applying beta-rule and splitting (138), into two cases. % 9.57/2.79 |-Branch one: % 9.57/2.79 | (267) (all_0_13_13 = e3 & ~ (all_0_12_12 = e2)) | (all_0_18_18 = e3 & ~ (all_0_16_16 = e1)) % 9.57/2.79 | % 9.57/2.79 +-Applying beta-rule and splitting (267), into two cases. % 9.57/2.79 |-Branch one: % 9.57/2.79 | (268) all_0_13_13 = e3 & ~ (all_0_12_12 = e2) % 9.57/2.79 | % 9.57/2.79 | Applying alpha-rule on (268) yields: % 9.57/2.79 | (269) all_0_13_13 = e3 % 9.57/2.79 | (270) ~ (all_0_12_12 = e2) % 9.57/2.79 | % 9.57/2.79 | Equations (269) can reduce 77 to: % 9.57/2.79 | (225) ~ (all_0_9_9 = e3) % 9.57/2.79 | % 9.57/2.79 +-Applying beta-rule and splitting (91), into two cases. % 9.57/2.79 |-Branch one: % 9.57/2.79 | (179) (all_0_8_8 = e1 & ~ (all_0_10_10 = e3)) | (all_0_13_13 = e1 & ~ (all_0_14_14 = e2)) % 9.57/2.79 | % 9.57/2.79 +-Applying beta-rule and splitting (179), into two cases. % 9.57/2.79 |-Branch one: % 9.57/2.79 | (180) all_0_8_8 = e1 & ~ (all_0_10_10 = e3) % 9.57/2.79 | % 9.57/2.79 | Applying alpha-rule on (180) yields: % 9.57/2.79 | (181) all_0_8_8 = e1 % 9.57/2.79 | (182) ~ (all_0_10_10 = e3) % 9.57/2.79 | % 9.57/2.79 | Equations (181) can reduce 12 to: % 9.57/2.79 | (715) ~ (all_0_9_9 = e1) % 9.57/2.79 | % 9.58/2.79 | Simplifying 715 yields: % 9.58/2.79 | (189) ~ (all_0_9_9 = e1) % 9.58/2.79 | % 9.58/2.79 | Equations (181) can reduce 109 to: % 9.58/2.79 | (717) ~ (all_0_10_10 = e1) % 9.58/2.79 | % 9.58/2.79 | Simplifying 717 yields: % 9.58/2.79 | (718) ~ (all_0_10_10 = e1) % 9.58/2.79 | % 9.58/2.79 | Equations (181) can reduce 129 to: % 9.58/2.79 | (1797) ~ (all_0_16_16 = e1) % 9.58/2.79 | % 9.58/2.79 | Simplifying 1797 yields: % 9.58/2.79 | (275) ~ (all_0_16_16 = e1) % 9.58/2.79 | % 9.58/2.79 +-Applying beta-rule and splitting (56), into two cases. % 9.58/2.79 |-Branch one: % 9.58/2.79 | (1799) all_0_16_16 = e1 % 9.58/2.79 | % 9.58/2.79 | Equations (1799) can reduce 275 to: % 9.58/2.79 | (185) $false % 9.58/2.79 | % 9.58/2.79 |-The branch is then unsatisfiable % 9.58/2.79 |-Branch two: % 9.58/2.79 | (275) ~ (all_0_16_16 = e1) % 9.58/2.79 | (1802) all_0_17_17 = e1 | all_0_18_18 = e1 | all_0_19_19 = e1 % 9.58/2.79 | % 9.58/2.79 +-Applying beta-rule and splitting (79), into two cases. % 9.58/2.79 |-Branch one: % 9.58/2.79 | (819) all_0_10_10 = e3 % 9.58/2.79 | % 9.58/2.79 | Equations (819) can reduce 182 to: % 9.58/2.79 | (185) $false % 9.58/2.79 | % 9.58/2.79 |-The branch is then unsatisfiable % 9.58/2.79 |-Branch two: % 9.58/2.79 | (182) ~ (all_0_10_10 = e3) % 9.58/2.79 | (850) all_0_10_10 = e2 | all_0_10_10 = e1 | all_0_10_10 = e0 % 9.58/2.79 | % 9.58/2.79 +-Applying beta-rule and splitting (7), into two cases. % 9.58/2.79 |-Branch one: % 9.58/2.79 | (201) all_0_9_9 = e0 % 9.58/2.79 | % 9.58/2.79 | Equations (201) can reduce 137 to: % 9.58/2.79 | (165) ~ (all_0_11_11 = e0) % 9.58/2.79 | % 9.58/2.79 | Simplifying 165 yields: % 9.58/2.79 | (166) ~ (all_0_11_11 = e0) % 9.58/2.79 | % 9.58/2.79 | Equations (201) can reduce 189 to: % 9.58/2.79 | (220) ~ (e1 = e0) % 9.58/2.79 | % 9.58/2.79 | Simplifying 220 yields: % 9.58/2.79 | (53) ~ (e1 = e0) % 9.58/2.79 | % 9.58/2.79 +-Applying beta-rule and splitting (37), into two cases. % 9.58/2.79 |-Branch one: % 9.58/2.79 | (224) all_0_8_8 = e2 % 9.58/2.79 | % 9.58/2.79 | Combining equations (181,224) yields a new equation: % 9.58/2.79 | (599) e2 = e1 % 9.58/2.79 | % 9.58/2.79 | Equations (599) can reduce 81 to: % 9.58/2.79 | (185) $false % 9.58/2.79 | % 9.58/2.79 |-The branch is then unsatisfiable % 9.58/2.79 |-Branch two: % 9.58/2.79 | (264) ~ (all_0_8_8 = e2) % 9.58/2.79 | (1816) all_0_9_9 = e2 | all_0_10_10 = e2 | all_0_11_11 = e2 % 9.58/2.79 | % 9.58/2.79 +-Applying beta-rule and splitting (87), into two cases. % 9.58/2.79 |-Branch one: % 9.58/2.79 | (503) all_0_11_11 = e0 % 9.58/2.79 | % 9.58/2.79 | Equations (503) can reduce 166 to: % 9.58/2.79 | (185) $false % 9.58/2.79 | % 9.58/2.79 |-The branch is then unsatisfiable % 9.58/2.79 |-Branch two: % 9.58/2.79 | (166) ~ (all_0_11_11 = e0) % 9.58/2.79 | (506) all_0_15_15 = e0 | all_0_19_19 = e0 | all_0_23_23 = e0 % 9.58/2.79 | % 9.58/2.79 +-Applying beta-rule and splitting (506), into two cases. % 9.58/2.79 |-Branch one: % 9.58/2.79 | (358) all_0_15_15 = e0 % 9.58/2.79 | % 9.58/2.79 | Equations (358) can reduce 695 to: % 9.58/2.79 | (501) ~ (e2 = e0) % 9.58/2.79 | % 9.58/2.79 | Simplifying 501 yields: % 9.58/2.79 | (92) ~ (e2 = e0) % 9.58/2.79 | % 9.58/2.79 +-Applying beta-rule and splitting (30), into two cases. % 9.58/2.79 |-Branch one: % 9.58/2.79 | (337) all_0_9_9 = e2 % 9.58/2.79 | % 9.58/2.79 | Combining equations (201,337) yields a new equation: % 9.58/2.79 | (227) e2 = e0 % 9.58/2.79 | % 9.58/2.79 | Equations (227) can reduce 92 to: % 9.58/2.79 | (185) $false % 9.58/2.79 | % 9.58/2.79 |-The branch is then unsatisfiable % 9.58/2.79 |-Branch two: % 9.58/2.79 | (368) ~ (all_0_9_9 = e2) % 9.58/2.79 | (639) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2 % 9.58/2.79 | % 9.58/2.79 | Equations (201) can reduce 368 to: % 9.58/2.79 | (501) ~ (e2 = e0) % 9.58/2.79 | % 9.58/2.79 | Simplifying 501 yields: % 9.58/2.79 | (92) ~ (e2 = e0) % 9.58/2.79 | % 9.58/2.79 +-Applying beta-rule and splitting (1816), into two cases. % 9.58/2.79 |-Branch one: % 9.58/2.79 | (337) all_0_9_9 = e2 % 9.58/2.79 | % 9.58/2.79 | Combining equations (201,337) yields a new equation: % 9.58/2.79 | (227) e2 = e0 % 9.58/2.79 | % 9.58/2.79 | Equations (227) can reduce 92 to: % 9.58/2.79 | (185) $false % 9.58/2.79 | % 9.58/2.79 |-The branch is then unsatisfiable % 9.58/2.79 |-Branch two: % 9.58/2.79 | (368) ~ (all_0_9_9 = e2) % 9.58/2.79 | (1835) all_0_10_10 = e2 | all_0_11_11 = e2 % 9.58/2.79 | % 9.58/2.79 +-Applying beta-rule and splitting (1835), into two cases. % 9.58/2.79 |-Branch one: % 9.58/2.79 | (1261) all_0_10_10 = e2 % 9.58/2.79 | % 9.58/2.79 | Equations (1261) can reduce 182 to: % 9.58/2.79 | (633) ~ (e3 = e2) % 9.58/2.79 | % 9.58/2.79 | Simplifying 633 yields: % 9.58/2.79 | (39) ~ (e3 = e2) % 9.58/2.79 | % 9.58/2.79 | Equations (1261) can reduce 718 to: % 9.58/2.79 | (81) ~ (e2 = e1) % 9.58/2.79 | % 9.58/2.79 +-Applying beta-rule and splitting (639), into two cases. % 9.58/2.79 |-Branch one: % 9.58/2.79 | (640) all_0_13_13 = e2 % 9.58/2.79 | % 9.58/2.79 | Combining equations (269,640) yields a new equation: % 9.58/2.79 | (430) e3 = e2 % 9.58/2.79 | % 9.58/2.79 | Simplifying 430 yields: % 9.58/2.79 | (276) e3 = e2 % 9.58/2.79 | % 9.58/2.79 | Equations (276) can reduce 39 to: % 9.58/2.79 | (185) $false % 9.58/2.79 | % 9.58/2.79 |-The branch is then unsatisfiable % 9.58/2.79 |-Branch two: % 9.58/2.79 | (672) ~ (all_0_13_13 = e2) % 9.58/2.79 | (673) all_0_17_17 = e2 | all_0_21_21 = e2 % 9.58/2.79 | % 9.58/2.79 +-Applying beta-rule and splitting (1802), into two cases. % 9.58/2.79 |-Branch one: % 9.58/2.79 | (469) all_0_17_17 = e1 % 9.58/2.79 | % 9.58/2.79 +-Applying beta-rule and splitting (673), into two cases. % 9.58/2.79 |-Branch one: % 9.58/2.79 | (465) all_0_17_17 = e2 % 9.58/2.79 | % 9.58/2.79 | Combining equations (465,469) yields a new equation: % 9.58/2.79 | (598) e2 = e1 % 9.58/2.79 | % 9.58/2.79 | Simplifying 598 yields: % 9.58/2.79 | (599) e2 = e1 % 9.58/2.79 | % 9.58/2.79 | Equations (599) can reduce 81 to: % 9.58/2.79 | (185) $false % 9.58/2.79 | % 9.58/2.79 |-The branch is then unsatisfiable % 9.58/2.79 |-Branch two: % 9.58/2.79 | (233) ~ (all_0_17_17 = e2) % 9.58/2.79 | (572) all_0_21_21 = e2 % 9.58/2.79 | % 9.58/2.79 | Equations (572) can reduce 592 to: % 9.58/2.79 | (185) $false % 9.58/2.79 | % 9.58/2.79 |-The branch is then unsatisfiable % 9.58/2.79 |-Branch two: % 9.58/2.79 | (231) ~ (all_0_17_17 = e1) % 9.58/2.79 | (1855) all_0_18_18 = e1 | all_0_19_19 = e1 % 9.58/2.79 | % 9.58/2.79 +-Applying beta-rule and splitting (1855), into two cases. % 9.58/2.79 |-Branch one: % 9.58/2.79 | (1143) all_0_18_18 = e1 % 9.58/2.79 | % 9.58/2.79 | Combining equations (361,1143) yields a new equation: % 9.58/2.79 | (184) e1 = e0 % 9.58/2.79 | % 9.58/2.80 | Equations (184) can reduce 53 to: % 9.58/2.80 | (185) $false % 9.58/2.80 | % 9.58/2.80 |-The branch is then unsatisfiable % 9.58/2.80 |-Branch two: % 9.58/2.80 | (779) ~ (all_0_18_18 = e1) % 9.58/2.80 | (826) all_0_19_19 = e1 % 9.58/2.80 | % 9.58/2.80 | Equations (826) can reduce 742 to: % 9.58/2.80 | (185) $false % 9.58/2.80 | % 9.58/2.80 |-The branch is then unsatisfiable % 9.58/2.80 |-Branch two: % 9.58/2.80 | (1005) ~ (all_0_10_10 = e2) % 9.58/2.80 | (631) all_0_11_11 = e2 % 9.58/2.80 | % 9.58/2.80 | Equations (631) can reduce 679 to: % 9.58/2.80 | (185) $false % 9.58/2.80 | % 9.58/2.80 |-The branch is then unsatisfiable % 9.58/2.80 |-Branch two: % 9.58/2.80 | (498) ~ (all_0_15_15 = e0) % 9.58/2.80 | (510) all_0_19_19 = e0 | all_0_23_23 = e0 % 9.58/2.80 | % 9.58/2.80 +-Applying beta-rule and splitting (510), into two cases. % 9.58/2.80 |-Branch one: % 9.58/2.80 | (366) all_0_19_19 = e0 % 9.58/2.80 | % 9.58/2.80 | Equations (366) can reduce 360 to: % 9.58/2.80 | (185) $false % 9.58/2.80 | % 9.58/2.80 |-The branch is then unsatisfiable % 9.58/2.80 |-Branch two: % 9.58/2.80 | (360) ~ (all_0_19_19 = e0) % 9.58/2.80 | (514) all_0_23_23 = e0 % 9.58/2.80 | % 9.58/2.80 | Combining equations (475,514) yields a new equation: % 9.58/2.80 | (226) e2 = e0 % 9.58/2.80 | % 9.58/2.80 | Simplifying 226 yields: % 9.58/2.80 | (227) e2 = e0 % 9.58/2.80 | % 9.58/2.80 | Equations (227) can reduce 92 to: % 9.58/2.80 | (185) $false % 9.58/2.80 | % 9.58/2.80 |-The branch is then unsatisfiable % 9.58/2.80 |-Branch two: % 9.58/2.80 | (162) ~ (all_0_9_9 = e0) % 9.58/2.80 | (204) all_0_13_13 = e0 | all_0_17_17 = e0 | all_0_21_21 = e0 % 9.58/2.80 | % 9.58/2.80 +-Applying beta-rule and splitting (850), into two cases. % 9.58/2.80 |-Branch one: % 9.58/2.80 | (1261) all_0_10_10 = e2 % 9.58/2.80 | % 9.58/2.80 | Equations (1261) can reduce 142 to: % 9.58/2.80 | (368) ~ (all_0_9_9 = e2) % 9.58/2.80 | % 9.58/2.80 +-Applying beta-rule and splitting (1802), into two cases. % 9.58/2.80 |-Branch one: % 9.58/2.80 | (469) all_0_17_17 = e1 % 9.58/2.80 | % 9.58/2.80 | Equations (469) can reduce 134 to: % 9.58/2.80 | (189) ~ (all_0_9_9 = e1) % 9.58/2.80 | % 9.58/2.80 +-Applying beta-rule and splitting (30), into two cases. % 9.58/2.80 |-Branch one: % 9.58/2.80 | (337) all_0_9_9 = e2 % 9.58/2.80 | % 9.58/2.80 | Equations (337) can reduce 368 to: % 9.58/2.80 | (185) $false % 9.58/2.80 | % 9.58/2.80 |-The branch is then unsatisfiable % 9.58/2.80 |-Branch two: % 9.58/2.80 | (368) ~ (all_0_9_9 = e2) % 9.58/2.80 | (639) all_0_13_13 = e2 | all_0_17_17 = e2 | all_0_21_21 = e2 % 9.58/2.80 | % 9.58/2.80 +-Applying beta-rule and splitting (50), into two cases. % 9.58/2.80 |-Branch one: % 9.58/2.80 | (249) all_0_9_9 = e3 % 9.58/2.80 | % 9.58/2.80 | Equations (249) can reduce 225 to: % 9.58/2.80 | (185) $false % 9.58/2.80 | % 9.58/2.80 |-The branch is then unsatisfiable % 9.58/2.80 |-Branch two: % 9.58/2.80 | (225) ~ (all_0_9_9 = e3) % 9.58/2.80 | (252) all_0_9_9 = e2 | all_0_9_9 = e1 | all_0_9_9 = e0 % 9.58/2.80 | % 9.58/2.80 +-Applying beta-rule and splitting (252), into two cases. % 9.58/2.80 |-Branch one: % 9.58/2.80 | (337) all_0_9_9 = e2 % 9.58/2.80 | % 9.58/2.80 | Equations (337) can reduce 368 to: % 9.58/2.80 | (185) $false % 9.58/2.80 | % 9.58/2.80 |-The branch is then unsatisfiable % 9.58/2.80 |-Branch two: % 9.58/2.80 | (368) ~ (all_0_9_9 = e2) % 9.58/2.80 | (369) all_0_9_9 = e1 | all_0_9_9 = e0 % 9.58/2.80 | % 9.58/2.80 +-Applying beta-rule and splitting (369), into two cases. % 9.58/2.80 |-Branch one: % 9.58/2.80 | (370) all_0_9_9 = e1 % 9.58/2.80 | % 9.58/2.80 | Equations (370) can reduce 189 to: % 9.58/2.80 | (185) $false % 9.58/2.80 | % 9.58/2.80 |-The branch is then unsatisfiable % 9.58/2.80 |-Branch two: % 9.58/2.80 | (189) ~ (all_0_9_9 = e1) % 9.58/2.80 | (201) all_0_9_9 = e0 % 9.58/2.80 | % 9.58/2.80 | Equations (201) can reduce 162 to: % 9.58/2.80 | (185) $false % 9.58/2.80 | % 9.58/2.80 |-The branch is then unsatisfiable % 9.58/2.80 |-Branch two: % 9.58/2.80 | (231) ~ (all_0_17_17 = e1) % 9.58/2.80 | (1855) all_0_18_18 = e1 | all_0_19_19 = e1 % 9.58/2.80 | % 9.58/2.80 +-Applying beta-rule and splitting (1855), into two cases. % 9.58/2.80 |-Branch one: % 9.58/2.80 | (1143) all_0_18_18 = e1 % 9.58/2.80 | % 9.58/2.80 | Combining equations (1143,361) yields a new equation: % 9.58/2.80 | (183) e1 = e0 % 9.58/2.80 | % 9.58/2.80 | Simplifying 183 yields: % 9.58/2.80 | (184) e1 = e0 % 9.58/2.80 | % 9.58/2.80 | Equations (184) can reduce 53 to: % 9.58/2.80 | (185) $false % 9.58/2.80 | % 9.58/2.80 |-The branch is then unsatisfiable % 9.58/2.80 |-Branch two: % 9.58/2.80 | (779) ~ (all_0_18_18 = e1) % 9.58/2.80 | (826) all_0_19_19 = e1 % 9.58/2.80 | % 9.58/2.80 | Equations (826) can reduce 742 to: % 9.58/2.80 | (185) $false % 9.58/2.80 | % 9.58/2.80 |-The branch is then unsatisfiable % 9.58/2.80 |-Branch two: % 9.58/2.80 | (1005) ~ (all_0_10_10 = e2) % 9.58/2.80 | (1907) all_0_10_10 = e1 | all_0_10_10 = e0 % 9.58/2.80 | % 9.58/2.80 +-Applying beta-rule and splitting (1907), into two cases. % 9.58/2.80 |-Branch one: % 9.58/2.80 | (1135) all_0_10_10 = e1 % 9.58/2.80 | % 9.58/2.80 | Equations (1135) can reduce 718 to: % 9.58/2.80 | (185) $false % 9.58/2.80 | % 9.58/2.80 |-The branch is then unsatisfiable % 9.58/2.80 |-Branch two: % 9.58/2.80 | (718) ~ (all_0_10_10 = e1) % 9.58/2.80 | (253) all_0_10_10 = e0 % 9.58/2.80 | % 9.58/2.80 | Equations (253) can reduce 164 to: % 9.58/2.80 | (185) $false % 9.58/2.80 | % 9.58/2.80 |-The branch is then unsatisfiable % 9.58/2.80 |-Branch two: % 9.58/2.80 | (186) all_0_13_13 = e1 & ~ (all_0_14_14 = e2) % 9.58/2.80 | % 9.58/2.80 | Applying alpha-rule on (186) yields: % 9.58/2.80 | (187) all_0_13_13 = e1 % 9.58/2.80 | (188) ~ (all_0_14_14 = e2) % 9.58/2.80 | % 9.58/2.80 | Combining equations (269,187) yields a new equation: % 9.58/2.80 | (669) e3 = e1 % 9.58/2.80 | % 9.58/2.80 | Simplifying 669 yields: % 9.58/2.80 | (271) e3 = e1 % 9.58/2.80 | % 9.58/2.80 | Equations (271) can reduce 102 to: % 9.58/2.80 | (185) $false % 9.58/2.80 | % 9.58/2.80 |-The branch is then unsatisfiable % 9.58/2.80 |-Branch two: % 9.58/2.80 | (550) all_0_23_23 = e1 & ~ (all_0_22_22 = e0) % 9.58/2.80 | % 9.58/2.80 | Applying alpha-rule on (550) yields: % 9.58/2.80 | (551) all_0_23_23 = e1 % 9.58/2.80 | (217) ~ (all_0_22_22 = e0) % 9.58/2.80 | % 9.58/2.80 | Combining equations (551,475) yields a new equation: % 9.58/2.80 | (599) e2 = e1 % 9.58/2.80 | % 9.58/2.80 | Equations (599) can reduce 81 to: % 9.58/2.80 | (185) $false % 9.58/2.80 | % 9.58/2.80 |-The branch is then unsatisfiable % 9.58/2.80 |-Branch two: % 9.58/2.80 | (273) all_0_18_18 = e3 & ~ (all_0_16_16 = e1) % 9.58/2.80 | % 9.58/2.80 | Applying alpha-rule on (273) yields: % 9.58/2.80 | (274) all_0_18_18 = e3 % 9.58/2.80 | (275) ~ (all_0_16_16 = e1) % 9.58/2.80 | % 9.58/2.80 | Combining equations (361,274) yields a new equation: % 9.58/2.80 | (285) e3 = e0 % 9.58/2.80 | % 9.58/2.80 | Equations (285) can reduce 117 to: % 9.58/2.80 | (185) $false % 9.58/2.80 | % 9.58/2.80 |-The branch is then unsatisfiable % 9.58/2.80 |-Branch two: % 9.58/2.80 | (278) all_0_23_23 = e3 & ~ (all_0_20_20 = e0) % 9.58/2.80 | % 9.58/2.80 | Applying alpha-rule on (278) yields: % 9.58/2.80 | (279) all_0_23_23 = e3 % 9.58/2.80 | (172) ~ (all_0_20_20 = e0) % 9.58/2.80 | % 9.58/2.80 | Combining equations (279,475) yields a new equation: % 9.58/2.80 | (430) e3 = e2 % 9.58/2.80 | % 9.58/2.80 | Simplifying 430 yields: % 9.58/2.80 | (276) e3 = e2 % 9.58/2.80 | % 9.58/2.80 | Equations (276) can reduce 39 to: % 9.58/2.80 | (185) $false % 9.58/2.80 | % 9.58/2.80 |-The branch is then unsatisfiable % 9.58/2.80 % SZS output end Proof for theBenchmark % 9.58/2.80 % 9.58/2.80 2197ms %------------------------------------------------------------------------------