%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : ALG064+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 14 15:34:10 EDT 2022 % Result : Theorem 7.66s 2.33s % Output : Proof 25.68s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : ALG064+1 : TPTP v8.1.0. Released v2.7.0. % 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n019.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Wed Jun 8 12:13:40 EDT 2022 % 0.12/0.33 % CPUTime : % 0.50/0.58 ____ _ % 0.50/0.58 ___ / __ \_____(_)___ ________ __________ % 0.50/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.50/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.50/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.50/0.58 % 0.50/0.58 A Theorem Prover for First-Order Logic % 0.50/0.58 (ePrincess v.1.0) % 0.50/0.58 % 0.50/0.58 (c) Philipp Rümmer, 2009-2015 % 0.50/0.58 (c) Peter Backeman, 2014-2015 % 0.50/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.50/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.50/0.58 Bug reports to peter@backeman.se % 0.50/0.58 % 0.50/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.50/0.58 % 0.50/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.50/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.52/1.11 Prover 0: Preprocessing ... % 4.21/1.46 Prover 0: Constructing countermodel ... % 7.66/2.33 Prover 0: proved (1702ms) % 7.66/2.33 % 7.66/2.33 No countermodel exists, formula is valid % 7.66/2.33 % SZS status Theorem for theBenchmark % 7.66/2.33 % 7.66/2.33 Generating proof ... found it (size 9901) % 21.41/5.58 % 21.41/5.58 % SZS output start Proof for theBenchmark % 21.41/5.58 Assumed formulas after preprocessing and simplification: % 21.41/5.59 | (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] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : ? [v48] : ? [v49] : ? [v50] : ? [v51] : ? [v52] : ? [v53] : ? [v54] : ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ( ~ (v20 = v19) & ~ (v20 = v18) & ~ (v20 = v17) & ~ (v20 = v15) & ~ (v20 = v10) & ~ (v20 = v6) & ~ (v20 = v3) & ~ (v20 = e2) & ~ (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v14) & ~ (v19 = v2) & ~ (v19 = e3) & ~ (v19 = e2) & ~ (v19 = e0) & ~ (v18 = v17) & ~ (v18 = v13) & ~ (v18 = v9) & ~ (v18 = v1) & ~ (v18 = e4) & ~ (v18 = e2) & ~ (v17 = v12) & ~ (v17 = v8) & ~ (v17 = v5) & ~ (v17 = v0) & ~ (v17 = e2) & ~ (v16 = v15) & ~ (v16 = v14) & ~ (v16 = v13) & ~ (v16 = v12) & ~ (v16 = v11) & ~ (v16 = v7) & ~ (v16 = v4) & ~ (v16 = e2) & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ (v15 = v10) & ~ (v15 = v6) & ~ (v15 = v3) & ~ (v14 = v13) & ~ (v14 = v12) & ~ (v14 = v2) & ~ (v14 = e3) & ~ (v14 = e0) & ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v1) & ~ (v13 = e4) & ~ (v12 = v8) & ~ (v12 = v5) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v4) & ~ (v11 = e3) & ~ (v11 = e2) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v3) & ~ (v10 = e3) & ~ (v9 = v8) & ~ (v9 = v1) & ~ (v9 = e4) & ~ (v9 = e3) & ~ (v8 = v5) & ~ (v8 = v0) & ~ (v8 = e3) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = e4) & ~ (v7 = e2) & ~ (v7 = e0) & ~ (v6 = v5) & ~ (v6 = v3) & ~ (v6 = e4) & ~ (v6 = e0) & ~ (v5 = v0) & ~ (v5 = e4) & ~ (v5 = e0) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) & ~ (v4 = e2) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e3) & ~ (v2 = e0) & ~ (v1 = v0) & ~ (v1 = e4) & ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(v20, e4) = v60 & op(v20, e3) = v59 & op(v19, e4) = v58 & op(v19, e2) = v57 & op(v18, e4) = v56 & op(v18, e1) = v55 & op(v17, e4) = v54 & op(v17, e0) = v53 & op(v16, e4) = v51 & op(v16, e3) = v52 & op(v15, e3) = v50 & op(v14, e3) = v49 & op(v14, e2) = v48 & op(v13, e3) = v47 & op(v13, e1) = v46 & op(v12, e3) = v45 & op(v12, e0) = v44 & op(v11, e4) = v42 & op(v11, e2) = v43 & op(v10, e3) = v40 & op(v10, e2) = v41 & op(v9, e2) = v39 & op(v9, e1) = v38 & op(v8, e2) = v37 & op(v8, e0) = v36 & op(v7, e4) = v34 & op(v7, e1) = v35 & op(v6, e3) = v32 & op(v6, e1) = v33 & op(v5, e1) = v31 & op(v5, e0) = v30 & op(v4, e4) = v28 & op(v4, e0) = v29 & op(v3, e3) = v26 & op(v3, e0) = v27 & op(v2, e2) = v24 & op(v2, e0) = v25 & op(v1, e1) = v22 & op(v1, e0) = v23 & op(v0, e0) = v21 & op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e4, e4) = e2 & op(e4, e3) = v20 & op(e4, e2) = v19 & op(e4, e1) = v18 & op(e4, e0) = v17 & op(e3, unit) = e3 & op(e3, e4) = v16 & op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, unit) = e2 & op(e2, e4) = v11 & op(e2, e3) = v10 & op(e2, e2) = e3 & op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, unit) = e1 & op(e1, e4) = v7 & op(e1, e3) = v6 & op(e1, e2) = e0 & op(e1, e1) = e4 & op(e1, e0) = v5 & op(e0, unit) = e0 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & ! [v61] : ! [v62] : ! [v63] : ! [v64] : (v62 = v61 | ~ (op(v64, v63) = v62) | ~ (op(v64, v63) = v61)) & (v20 = e4 | v20 = e3 | v20 = e1 | v20 = e0) & (v20 = e4 | v19 = e4 | v17 = e4) & (v20 = e4 | v15 = e4 | v10 = e4 | v3 = e4) & (v20 = e3 | v18 = e3 | v17 = e3) & (v20 = e3 | v15 = e3 | v6 = e3 | v3 = e3) & (v20 = e1 | v19 = e1 | v18 = e1 | v17 = e1) & (v20 = e1 | v15 = e1 | v10 = e1 | v6 = e1 | v3 = e1) & (v20 = e0 | v18 = e0 | v17 = e0) & (v20 = e0 | v15 = e0 | v10 = e0 | v3 = e0) & (v19 = e4 | v19 = e1) & (v19 = e4 | v14 = e4 | v2 = e4) & (v19 = e1 | v14 = e1 | v2 = e1) & (v18 = e3 | v18 = e1 | v18 = e0) & (v18 = e3 | v13 = e3 | v1 = e3) & (v18 = e1 | v13 = e1 | v9 = e1 | v1 = e1) & (v18 = e0 | v13 = e0 | v9 = e0 | v1 = e0) & (v17 = e4 | v17 = e3 | v17 = e1 | v17 = e0) & (v17 = e4 | v12 = e4 | v8 = e4 | v0 = e4) & (v17 = e3 | v12 = e3 | v5 = e3 | v0 = e3) & (v17 = e1 | v12 = e1 | v8 = e1 | v5 = e1 | v0 = e1) & (v17 = e0 | v12 = e0 | v8 = e0 | v0 = e0) & (v16 = e4 | v16 = e3 | v16 = e1 | v16 = e0) & (v16 = e4 | v15 = e4 | v14 = e4 | v12 = e4) & (v16 = e4 | v11 = e4 | v4 = e4) & (v16 = e3 | v15 = e3 | v13 = e3 | v12 = e3) & (v16 = e3 | v7 = e3 | v4 = e3) & (v16 = e1 | v15 = e1 | v14 = e1 | v13 = e1 | v12 = e1) & (v16 = e1 | v11 = e1 | v7 = e1 | v4 = e1) & (v16 = e0 | v15 = e0 | v13 = e0 | v12 = e0) & (v16 = e0 | v11 = e0 | v4 = e0) & (v15 = e4 | v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v15 = e2 | v14 = e2 | v13 = e2 | v12 = e2) & (v15 = e2 | v10 = e2 | v6 = e2 | v3 = e2) & (v15 = e1 | v0 = e1) & (v15 = e0 | v0 = e0) & (v14 = e4 | v14 = e2 | v14 = e1) & (v14 = e2 | v2 = e2) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v13 = e2 | v9 = e2 | v1 = e2) & (v12 = e4 | v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v12 = e2 | v8 = e2 | v5 = e2 | v0 = e2) & (v11 = e4 | v11 = e1 | v11 = e0) & (v11 = e4 | v10 = e4 | v8 = e4) & (v11 = e1 | v10 = e1 | v9 = e1 | v8 = e1) & (v11 = e0 | v10 = e0 | v9 = e0 | v8 = e0) & (v10 = e4 | v10 = e2 | v10 = e1 | v10 = e0) & (v10 = e2 | v9 = e2 | v8 = e2) & (v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e4 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e3 | v7 = e1) & (v7 = e3 | v6 = e3 | v5 = e3) & (v7 = e1 | v6 = e1 | v5 = e1) & (v6 = e3 | v6 = e2 | v6 = e1) & (v6 = e2 | v5 = e2) & (v5 = e3 | v5 = e2 | v5 = e1) & (v4 = e4 | v4 = e3 | v4 = e1 | v4 = e0) & (v4 = e4 | v3 = e4 | v2 = e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v1 = e3 | v0 = e3) & (v4 = e1 | v3 = e1 | v2 = e1 | v1 = e1 | v0 = e1) & (v4 = e0 | v3 = e0 | v1 = e0 | v0 = e0) & (v3 = e4 | v3 = e3 | v3 = e2 | v3 = e1 | v3 = e0) & (v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v2 = e4 | v2 = e2 | v2 = e1) & (v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0) & ((v59 = e4 & ~ (v60 = e3) & ~ (v20 = v16)) | (v57 = e4 & ~ (v58 = e2) & ~ (v19 = v11)) | (v55 = e4 & ~ (v56 = e1) & ~ (v18 = v7)) | (v53 = e4 & ~ (v54 = e0) & ~ (v17 = v4)) | (v51 = e3 & ~ (v52 = e4) & ~ (v20 = v16)) | (v48 = e3 & ~ (v49 = e2) & ~ (v14 = v10)) | (v46 = e3 & ~ (v47 = e1) & ~ (v13 = v6)) | (v44 = e3 & ~ (v45 = e0) & ~ (v12 = v3)) | (v42 = e2 & ~ (v43 = e4) & ~ (v19 = v11)) | (v40 = e2 & ~ (v41 = e3) & ~ (v14 = v10)) | (v38 = e2 & ~ (v39 = e1) & ~ (v9 = e0)) | (v36 = e2 & ~ (v37 = e0) & ~ (v8 = v2)) | (v34 = e1 & ~ (v35 = e4) & ~ (v18 = v7)) | (v32 = e1 & ~ (v33 = e3) & ~ (v13 = v6)) | (v30 = e1 & ~ (v31 = e0) & ~ (v5 = v1)) | (v28 = e0 & ~ (v29 = e4) & ~ (v17 = v4)) | (v26 = e0 & ~ (v27 = e3) & ~ (v12 = v3)) | (v24 = e0 & ~ (v25 = e2) & ~ (v8 = v2)) | (v22 = e0 & ~ (v23 = e1) & ~ (v5 = v1)) | (v2 = e1 & ~ (v9 = e0) & ~ (v1 = e2)))) % 21.72/5.65 | 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, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27, all_0_28_28, all_0_29_29, all_0_30_30, all_0_31_31, all_0_32_32, all_0_33_33, all_0_34_34, all_0_35_35, all_0_36_36, all_0_37_37, all_0_38_38, all_0_39_39, all_0_40_40, all_0_41_41, all_0_42_42, all_0_43_43, all_0_44_44, all_0_45_45, all_0_46_46, all_0_47_47, all_0_48_48, all_0_49_49, all_0_50_50, all_0_51_51, all_0_52_52, all_0_53_53, all_0_54_54, all_0_55_55, all_0_56_56, all_0_57_57, all_0_58_58, all_0_59_59, all_0_60_60 yields: % 21.72/5.65 | (1) ~ (all_0_40_40 = all_0_41_41) & ~ (all_0_40_40 = all_0_42_42) & ~ (all_0_40_40 = all_0_43_43) & ~ (all_0_40_40 = all_0_45_45) & ~ (all_0_40_40 = all_0_50_50) & ~ (all_0_40_40 = all_0_54_54) & ~ (all_0_40_40 = all_0_57_57) & ~ (all_0_40_40 = e2) & ~ (all_0_41_41 = all_0_42_42) & ~ (all_0_41_41 = all_0_43_43) & ~ (all_0_41_41 = all_0_46_46) & ~ (all_0_41_41 = all_0_58_58) & ~ (all_0_41_41 = e3) & ~ (all_0_41_41 = e2) & ~ (all_0_41_41 = e0) & ~ (all_0_42_42 = all_0_43_43) & ~ (all_0_42_42 = all_0_47_47) & ~ (all_0_42_42 = all_0_51_51) & ~ (all_0_42_42 = all_0_59_59) & ~ (all_0_42_42 = e4) & ~ (all_0_42_42 = e2) & ~ (all_0_43_43 = all_0_48_48) & ~ (all_0_43_43 = all_0_52_52) & ~ (all_0_43_43 = all_0_55_55) & ~ (all_0_43_43 = all_0_60_60) & ~ (all_0_43_43 = e2) & ~ (all_0_44_44 = all_0_45_45) & ~ (all_0_44_44 = all_0_46_46) & ~ (all_0_44_44 = all_0_47_47) & ~ (all_0_44_44 = all_0_48_48) & ~ (all_0_44_44 = all_0_49_49) & ~ (all_0_44_44 = all_0_53_53) & ~ (all_0_44_44 = all_0_56_56) & ~ (all_0_44_44 = e2) & ~ (all_0_45_45 = all_0_46_46) & ~ (all_0_45_45 = all_0_47_47) & ~ (all_0_45_45 = all_0_48_48) & ~ (all_0_45_45 = all_0_50_50) & ~ (all_0_45_45 = all_0_54_54) & ~ (all_0_45_45 = all_0_57_57) & ~ (all_0_46_46 = all_0_47_47) & ~ (all_0_46_46 = all_0_48_48) & ~ (all_0_46_46 = all_0_58_58) & ~ (all_0_46_46 = e3) & ~ (all_0_46_46 = e0) & ~ (all_0_47_47 = all_0_48_48) & ~ (all_0_47_47 = all_0_51_51) & ~ (all_0_47_47 = all_0_59_59) & ~ (all_0_47_47 = e4) & ~ (all_0_48_48 = all_0_52_52) & ~ (all_0_48_48 = all_0_55_55) & ~ (all_0_48_48 = all_0_60_60) & ~ (all_0_49_49 = all_0_50_50) & ~ (all_0_49_49 = all_0_51_51) & ~ (all_0_49_49 = all_0_52_52) & ~ (all_0_49_49 = all_0_53_53) & ~ (all_0_49_49 = all_0_56_56) & ~ (all_0_49_49 = e3) & ~ (all_0_49_49 = e2) & ~ (all_0_50_50 = all_0_51_51) & ~ (all_0_50_50 = all_0_52_52) & ~ (all_0_50_50 = all_0_54_54) & ~ (all_0_50_50 = all_0_57_57) & ~ (all_0_50_50 = e3) & ~ (all_0_51_51 = all_0_52_52) & ~ (all_0_51_51 = all_0_59_59) & ~ (all_0_51_51 = e4) & ~ (all_0_51_51 = e3) & ~ (all_0_52_52 = all_0_55_55) & ~ (all_0_52_52 = all_0_60_60) & ~ (all_0_52_52 = e3) & ~ (all_0_53_53 = all_0_54_54) & ~ (all_0_53_53 = all_0_55_55) & ~ (all_0_53_53 = all_0_56_56) & ~ (all_0_53_53 = e4) & ~ (all_0_53_53 = e2) & ~ (all_0_53_53 = e0) & ~ (all_0_54_54 = all_0_55_55) & ~ (all_0_54_54 = all_0_57_57) & ~ (all_0_54_54 = e4) & ~ (all_0_54_54 = e0) & ~ (all_0_55_55 = all_0_60_60) & ~ (all_0_55_55 = e4) & ~ (all_0_55_55 = e0) & ~ (all_0_56_56 = all_0_57_57) & ~ (all_0_56_56 = all_0_58_58) & ~ (all_0_56_56 = all_0_59_59) & ~ (all_0_56_56 = all_0_60_60) & ~ (all_0_56_56 = e2) & ~ (all_0_57_57 = all_0_58_58) & ~ (all_0_57_57 = all_0_59_59) & ~ (all_0_57_57 = all_0_60_60) & ~ (all_0_58_58 = all_0_59_59) & ~ (all_0_58_58 = all_0_60_60) & ~ (all_0_58_58 = e3) & ~ (all_0_58_58 = e0) & ~ (all_0_59_59 = all_0_60_60) & ~ (all_0_59_59 = e4) & ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & op(all_0_40_40, e4) = all_0_0_0 & op(all_0_40_40, e3) = all_0_1_1 & op(all_0_41_41, e4) = all_0_2_2 & op(all_0_41_41, e2) = all_0_3_3 & op(all_0_42_42, e4) = all_0_4_4 & op(all_0_42_42, e1) = all_0_5_5 & op(all_0_43_43, e4) = all_0_6_6 & op(all_0_43_43, e0) = all_0_7_7 & op(all_0_44_44, e4) = all_0_9_9 & op(all_0_44_44, e3) = all_0_8_8 & op(all_0_45_45, e3) = all_0_10_10 & op(all_0_46_46, e3) = all_0_11_11 & op(all_0_46_46, e2) = all_0_12_12 & op(all_0_47_47, e3) = all_0_13_13 & op(all_0_47_47, e1) = all_0_14_14 & op(all_0_48_48, e3) = all_0_15_15 & op(all_0_48_48, e0) = all_0_16_16 & op(all_0_49_49, e4) = all_0_18_18 & op(all_0_49_49, e2) = all_0_17_17 & op(all_0_50_50, e3) = all_0_20_20 & op(all_0_50_50, e2) = all_0_19_19 & op(all_0_51_51, e2) = all_0_21_21 & op(all_0_51_51, e1) = all_0_22_22 & op(all_0_52_52, e2) = all_0_23_23 & op(all_0_52_52, e0) = all_0_24_24 & op(all_0_53_53, e4) = all_0_26_26 & op(all_0_53_53, e1) = all_0_25_25 & op(all_0_54_54, e3) = all_0_28_28 & op(all_0_54_54, e1) = all_0_27_27 & op(all_0_55_55, e1) = all_0_29_29 & op(all_0_55_55, e0) = all_0_30_30 & op(all_0_56_56, e4) = all_0_32_32 & op(all_0_56_56, e0) = all_0_31_31 & op(all_0_57_57, e3) = all_0_34_34 & op(all_0_57_57, e0) = all_0_33_33 & op(all_0_58_58, e2) = all_0_36_36 & op(all_0_58_58, e0) = all_0_35_35 & op(all_0_59_59, e1) = all_0_38_38 & op(all_0_59_59, e0) = all_0_37_37 & op(all_0_60_60, e0) = all_0_39_39 & op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e4, e4) = e2 & op(e4, e3) = all_0_40_40 & op(e4, e2) = all_0_41_41 & op(e4, e1) = all_0_42_42 & op(e4, e0) = all_0_43_43 & op(e3, unit) = e3 & op(e3, e4) = all_0_44_44 & op(e3, e3) = all_0_45_45 & op(e3, e2) = all_0_46_46 & op(e3, e1) = all_0_47_47 & op(e3, e0) = all_0_48_48 & op(e2, unit) = e2 & op(e2, e4) = all_0_49_49 & op(e2, e3) = all_0_50_50 & op(e2, e2) = e3 & op(e2, e1) = all_0_51_51 & op(e2, e0) = all_0_52_52 & op(e1, unit) = e1 & op(e1, e4) = all_0_53_53 & op(e1, e3) = all_0_54_54 & op(e1, e2) = e0 & op(e1, e1) = e4 & op(e1, e0) = all_0_55_55 & op(e0, unit) = e0 & op(e0, e4) = all_0_56_56 & op(e0, e3) = all_0_57_57 & op(e0, e2) = all_0_58_58 & op(e0, e1) = all_0_59_59 & op(e0, e0) = all_0_60_60 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) & (all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0) & (all_0_40_40 = e4 | all_0_41_41 = e4 | all_0_43_43 = e4) & (all_0_40_40 = e4 | all_0_45_45 = e4 | all_0_50_50 = e4 | all_0_57_57 = e4) & (all_0_40_40 = e3 | all_0_42_42 = e3 | all_0_43_43 = e3) & (all_0_40_40 = e3 | all_0_45_45 = e3 | all_0_54_54 = e3 | all_0_57_57 = e3) & (all_0_40_40 = e1 | all_0_41_41 = e1 | all_0_42_42 = e1 | all_0_43_43 = e1) & (all_0_40_40 = e1 | all_0_45_45 = e1 | all_0_50_50 = e1 | all_0_54_54 = e1 | all_0_57_57 = e1) & (all_0_40_40 = e0 | all_0_42_42 = e0 | all_0_43_43 = e0) & (all_0_40_40 = e0 | all_0_45_45 = e0 | all_0_50_50 = e0 | all_0_57_57 = e0) & (all_0_41_41 = e4 | all_0_41_41 = e1) & (all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_58_58 = e4) & (all_0_41_41 = e1 | all_0_46_46 = e1 | all_0_58_58 = e1) & (all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0) & (all_0_42_42 = e3 | all_0_47_47 = e3 | all_0_59_59 = e3) & (all_0_42_42 = e1 | all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_59_59 = e1) & (all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_59_59 = e0) & (all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e1 | all_0_43_43 = e0) & (all_0_43_43 = e4 | all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_60_60 = e4) & (all_0_43_43 = e3 | all_0_48_48 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3) & (all_0_43_43 = e1 | all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1) & (all_0_43_43 = e0 | all_0_48_48 = e0 | all_0_52_52 = e0 | all_0_60_60 = e0) & (all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0) & (all_0_44_44 = e4 | all_0_45_45 = e4 | all_0_46_46 = e4 | all_0_48_48 = e4) & (all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_56_56 = e4) & (all_0_44_44 = e3 | all_0_45_45 = e3 | all_0_47_47 = e3 | all_0_48_48 = e3) & (all_0_44_44 = e3 | all_0_53_53 = e3 | all_0_56_56 = e3) & (all_0_44_44 = e1 | all_0_45_45 = e1 | all_0_46_46 = e1 | all_0_47_47 = e1 | all_0_48_48 = e1) & (all_0_44_44 = e1 | all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_56_56 = e1) & (all_0_44_44 = e0 | all_0_45_45 = e0 | all_0_47_47 = e0 | all_0_48_48 = e0) & (all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_56_56 = e0) & (all_0_45_45 = e4 | all_0_45_45 = e3 | all_0_45_45 = e2 | all_0_45_45 = e1 | all_0_45_45 = e0) & (all_0_45_45 = e2 | all_0_46_46 = e2 | all_0_47_47 = e2 | all_0_48_48 = e2) & (all_0_45_45 = e2 | all_0_50_50 = e2 | all_0_54_54 = e2 | all_0_57_57 = e2) & (all_0_45_45 = e1 | all_0_60_60 = e1) & (all_0_45_45 = e0 | all_0_60_60 = e0) & (all_0_46_46 = e4 | all_0_46_46 = e2 | all_0_46_46 = e1) & (all_0_46_46 = e2 | all_0_58_58 = e2) & (all_0_47_47 = e3 | all_0_47_47 = e2 | all_0_47_47 = e1 | all_0_47_47 = e0) & (all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_59_59 = e2) & (all_0_48_48 = e4 | all_0_48_48 = e3 | all_0_48_48 = e2 | all_0_48_48 = e1 | all_0_48_48 = e0) & (all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2) & (all_0_49_49 = e4 | all_0_49_49 = e1 | all_0_49_49 = e0) & (all_0_49_49 = e4 | all_0_50_50 = e4 | all_0_52_52 = e4) & (all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 | all_0_52_52 = e1) & (all_0_49_49 = e0 | all_0_50_50 = e0 | all_0_51_51 = e0 | all_0_52_52 = e0) & (all_0_50_50 = e4 | all_0_50_50 = e2 | all_0_50_50 = e1 | all_0_50_50 = e0) & (all_0_50_50 = e2 | all_0_51_51 = e2 | all_0_52_52 = e2) & (all_0_51_51 = e2 | all_0_51_51 = e1 | all_0_51_51 = e0) & (all_0_52_52 = e4 | all_0_52_52 = e2 | all_0_52_52 = e1 | all_0_52_52 = e0) & (all_0_53_53 = e3 | all_0_53_53 = e1) & (all_0_53_53 = e3 | all_0_54_54 = e3 | all_0_55_55 = e3) & (all_0_53_53 = e1 | all_0_54_54 = e1 | all_0_55_55 = e1) & (all_0_54_54 = e3 | all_0_54_54 = e2 | all_0_54_54 = e1) & (all_0_54_54 = e2 | all_0_55_55 = e2) & (all_0_55_55 = e3 | all_0_55_55 = e2 | all_0_55_55 = e1) & (all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0) & (all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 | all_0_60_60 = e4) & (all_0_56_56 = e3 | all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3) & (all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1) & (all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_59_59 = e0 | all_0_60_60 = e0) & (all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e2 | all_0_57_57 = e1 | all_0_57_57 = e0) & (all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2) & (all_0_58_58 = e4 | all_0_58_58 = e2 | all_0_58_58 = e1) & (all_0_59_59 = e3 | all_0_59_59 = e2 | all_0_59_59 = e1 | all_0_59_59 = e0) & (all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e2 | all_0_60_60 = e1 | all_0_60_60 = e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0) & ((all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_38_38 = e0 & ~ (all_0_37_37 = e1) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_58_58 = e1 & ~ (all_0_51_51 = e0) & ~ (all_0_59_59 = e2))) % 21.72/5.66 | % 21.72/5.66 | Applying alpha-rule on (1) yields: % 21.72/5.66 | (2) op(e4, e1) = all_0_42_42 % 21.72/5.66 | (3) op(all_0_57_57, e0) = all_0_33_33 % 21.72/5.66 | (4) all_0_40_40 = e3 | all_0_45_45 = e3 | all_0_54_54 = e3 | all_0_57_57 = e3 % 21.72/5.66 | (5) ~ (all_0_59_59 = all_0_60_60) % 21.72/5.67 | (6) ~ (all_0_44_44 = all_0_48_48) % 21.72/5.67 | (7) ~ (all_0_58_58 = all_0_60_60) % 21.72/5.67 | (8) all_0_48_48 = e4 | all_0_48_48 = e3 | all_0_48_48 = e2 | all_0_48_48 = e1 | all_0_48_48 = e0 % 21.72/5.67 | (9) ~ (all_0_50_50 = all_0_57_57) % 21.72/5.67 | (10) all_0_44_44 = e0 | all_0_45_45 = e0 | all_0_47_47 = e0 | all_0_48_48 = e0 % 21.72/5.67 | (11) op(all_0_43_43, e0) = all_0_7_7 % 21.72/5.67 | (12) all_0_43_43 = e0 | all_0_48_48 = e0 | all_0_52_52 = e0 | all_0_60_60 = e0 % 21.72/5.67 | (13) op(e3, e2) = all_0_46_46 % 21.72/5.67 | (14) all_0_44_44 = e1 | all_0_45_45 = e1 | all_0_46_46 = e1 | all_0_47_47 = e1 | all_0_48_48 = e1 % 21.72/5.67 | (15) all_0_40_40 = e1 | all_0_41_41 = e1 | all_0_42_42 = e1 | all_0_43_43 = e1 % 21.72/5.67 | (16) ~ (all_0_43_43 = all_0_48_48) % 21.72/5.67 | (17) ~ (all_0_45_45 = all_0_50_50) % 21.72/5.67 | (18) op(all_0_60_60, e0) = all_0_39_39 % 21.72/5.67 | (19) op(all_0_42_42, e4) = all_0_4_4 % 21.72/5.67 | (20) ~ (all_0_42_42 = all_0_43_43) % 21.72/5.67 | (21) op(all_0_44_44, e3) = all_0_8_8 % 21.72/5.67 | (22) ~ (all_0_51_51 = all_0_52_52) % 21.72/5.67 | (23) all_0_40_40 = e3 | all_0_42_42 = e3 | all_0_43_43 = e3 % 21.72/5.67 | (24) op(unit, e2) = e2 % 21.72/5.67 | (25) ~ (all_0_58_58 = all_0_59_59) % 21.72/5.67 | (26) ~ (all_0_56_56 = e2) % 21.72/5.67 | (27) ~ (all_0_46_46 = e3) % 21.72/5.67 | (28) all_0_55_55 = e3 | all_0_55_55 = e2 | all_0_55_55 = e1 % 21.72/5.67 | (29) all_0_45_45 = e4 | all_0_45_45 = e3 | all_0_45_45 = e2 | all_0_45_45 = e1 | all_0_45_45 = e0 % 21.72/5.67 | (30) op(all_0_57_57, e3) = all_0_34_34 % 21.72/5.67 | (31) ~ (all_0_41_41 = e0) % 21.72/5.67 | (32) all_0_47_47 = e2 | all_0_51_51 = e2 | all_0_59_59 = e2 % 21.72/5.67 | (33) op(all_0_51_51, e1) = all_0_22_22 % 21.72/5.67 | (34) op(e4, e0) = all_0_43_43 % 21.72/5.67 | (35) ~ (all_0_40_40 = all_0_54_54) % 21.72/5.67 | (36) op(all_0_54_54, e3) = all_0_28_28 % 21.72/5.67 | (37) ~ (all_0_51_51 = e4) % 21.72/5.67 | (38) op(all_0_54_54, e1) = all_0_27_27 % 21.72/5.67 | (39) ~ (all_0_45_45 = all_0_46_46) % 21.72/5.67 | (40) ~ (all_0_44_44 = all_0_45_45) % 21.72/5.67 | (41) op(all_0_50_50, e3) = all_0_20_20 % 21.72/5.67 | (42) ~ (all_0_52_52 = all_0_55_55) % 21.72/5.67 | (43) op(all_0_40_40, e3) = all_0_1_1 % 21.72/5.67 | (44) ~ (all_0_49_49 = all_0_52_52) % 21.72/5.67 | (45) all_0_43_43 = e4 | all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_60_60 = e4 % 21.72/5.67 | (46) ~ (e4 = e2) % 21.72/5.67 | (47) ~ (e4 = e0) % 21.72/5.67 | (48) op(e0, e4) = all_0_56_56 % 21.72/5.67 | (49) op(all_0_52_52, e2) = all_0_23_23 % 21.72/5.67 | (50) ~ (all_0_41_41 = e2) % 21.72/5.67 | (51) all_0_58_58 = e4 | all_0_58_58 = e2 | all_0_58_58 = e1 % 21.72/5.67 | (52) op(e1, e2) = e0 % 21.72/5.67 | (53) ~ (all_0_53_53 = e4) % 21.72/5.67 | (54) all_0_44_44 = e0 | all_0_49_49 = e0 | all_0_56_56 = e0 % 21.72/5.67 | (55) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0 % 21.72/5.67 | (56) ~ (all_0_53_53 = all_0_54_54) % 21.72/5.67 | (57) all_0_46_46 = e2 | all_0_58_58 = e2 % 21.72/5.67 | (58) op(all_0_56_56, e0) = all_0_31_31 % 21.72/5.67 | (59) ~ (all_0_41_41 = all_0_58_58) % 21.72/5.67 | (60) op(unit, e0) = e0 % 21.72/5.67 | (61) all_0_44_44 = e1 | all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_56_56 = e1 % 21.72/5.67 | (62) ~ (all_0_57_57 = all_0_60_60) % 21.72/5.67 | (63) all_0_44_44 = e4 | all_0_49_49 = e4 | all_0_56_56 = e4 % 21.72/5.67 | (64) ~ (all_0_40_40 = all_0_57_57) % 21.72/5.67 | (65) op(e0, e0) = all_0_60_60 % 21.72/5.67 | (66) op(e2, unit) = e2 % 21.72/5.67 | (67) op(e0, unit) = e0 % 21.72/5.67 | (68) all_0_43_43 = e3 | all_0_48_48 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 21.72/5.67 | (69) all_0_45_45 = e1 | all_0_60_60 = e1 % 21.72/5.67 | (70) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e1 | all_0_56_56 = e0 % 21.72/5.67 | (71) op(all_0_52_52, e0) = all_0_24_24 % 21.72/5.67 | (72) op(e2, e2) = e3 % 21.72/5.67 | (73) ~ (all_0_51_51 = all_0_59_59) % 21.72/5.67 | (74) op(e3, unit) = e3 % 21.72/5.67 | (75) ~ (all_0_40_40 = all_0_50_50) % 21.72/5.67 | (76) ~ (all_0_47_47 = e4) % 21.72/5.67 | (77) ~ (all_0_43_43 = all_0_60_60) % 21.72/5.67 | (78) ~ (all_0_44_44 = all_0_53_53) % 21.72/5.67 | (79) all_0_45_45 = e0 | all_0_60_60 = e0 % 21.72/5.67 | (80) op(all_0_42_42, e1) = all_0_5_5 % 21.72/5.67 | (81) ~ (all_0_54_54 = all_0_57_57) % 21.72/5.67 | (82) ~ (all_0_49_49 = all_0_51_51) % 21.72/5.67 | (83) all_0_43_43 = e1 | all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1 % 21.72/5.67 | (84) ~ (e3 = e0) % 21.72/5.67 | (85) ~ (all_0_54_54 = all_0_55_55) % 21.72/5.67 | (86) ~ (all_0_49_49 = e2) % 21.72/5.67 | (87) all_0_53_53 = e1 | all_0_54_54 = e1 | all_0_55_55 = e1 % 21.72/5.68 | (88) ~ (all_0_48_48 = all_0_52_52) % 21.72/5.68 | (89) all_0_44_44 = e4 | all_0_45_45 = e4 | all_0_46_46 = e4 | all_0_48_48 = e4 % 21.72/5.68 | (90) ~ (all_0_55_55 = all_0_60_60) % 21.72/5.68 | (91) op(all_0_48_48, e0) = all_0_16_16 % 21.72/5.68 | (92) all_0_42_42 = e3 | all_0_42_42 = e1 | all_0_42_42 = e0 % 21.72/5.68 | (93) all_0_56_56 = e1 | all_0_57_57 = e1 | all_0_58_58 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 21.96/5.68 | (94) ~ (all_0_45_45 = all_0_57_57) % 21.96/5.68 | (95) ~ (all_0_52_52 = e3) % 21.96/5.68 | (96) all_0_56_56 = e3 | all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 21.96/5.68 | (97) op(e3, e3) = all_0_45_45 % 21.96/5.68 | (98) ~ (all_0_44_44 = all_0_47_47) % 21.96/5.68 | (99) ~ (all_0_56_56 = all_0_59_59) % 21.96/5.68 | (100) op(unit, e1) = e1 % 21.96/5.68 | (101) all_0_42_42 = e0 | all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_59_59 = e0 % 21.96/5.68 | (102) ~ (all_0_45_45 = all_0_48_48) % 21.96/5.68 | (103) all_0_50_50 = e2 | all_0_51_51 = e2 | all_0_52_52 = e2 % 21.96/5.68 | (104) all_0_40_40 = e0 | all_0_45_45 = e0 | all_0_50_50 = e0 | all_0_57_57 = e0 % 21.96/5.68 | (105) all_0_49_49 = e4 | all_0_49_49 = e1 | all_0_49_49 = e0 % 21.96/5.68 | (106) ~ (all_0_49_49 = all_0_56_56) % 21.96/5.68 | (107) ~ (all_0_44_44 = e2) % 21.96/5.68 | (108) ~ (all_0_41_41 = all_0_43_43) % 21.96/5.68 | (109) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e1 | all_0_40_40 = e0 % 21.96/5.68 | (110) op(e2, e4) = all_0_49_49 % 21.96/5.68 | (111) ~ (all_0_49_49 = e3) % 21.96/5.68 | (112) ~ (all_0_43_43 = all_0_55_55) % 21.96/5.68 | (113) all_0_40_40 = e1 | all_0_45_45 = e1 | all_0_50_50 = e1 | all_0_54_54 = e1 | all_0_57_57 = e1 % 21.96/5.68 | (114) op(e0, e1) = all_0_59_59 % 21.96/5.68 | (115) ~ (e4 = e1) % 21.96/5.68 | (116) op(all_0_44_44, e4) = all_0_9_9 % 21.96/5.68 | (117) op(all_0_50_50, e2) = all_0_19_19 % 21.96/5.68 | (118) ~ (all_0_42_42 = all_0_59_59) % 21.96/5.68 | (119) ~ (all_0_47_47 = all_0_59_59) % 21.96/5.68 | (120) ~ (all_0_44_44 = all_0_46_46) % 21.96/5.68 | (121) op(all_0_59_59, e1) = all_0_38_38 % 21.96/5.68 | (122) ~ (all_0_53_53 = e0) % 21.96/5.68 | (123) ~ (all_0_59_59 = e4) % 21.96/5.68 | (124) op(e3, e4) = all_0_44_44 % 21.96/5.68 | (125) all_0_40_40 = e4 | all_0_45_45 = e4 | all_0_50_50 = e4 | all_0_57_57 = e4 % 21.96/5.68 | (126) op(e4, e2) = all_0_41_41 % 21.96/5.68 | (127) op(all_0_40_40, e4) = all_0_0_0 % 21.96/5.68 | (128) all_0_53_53 = e3 | all_0_54_54 = e3 | all_0_55_55 = e3 % 21.96/5.68 | (129) all_0_49_49 = e0 | all_0_50_50 = e0 | all_0_51_51 = e0 | all_0_52_52 = e0 % 21.96/5.68 | (130) op(all_0_41_41, e4) = all_0_2_2 % 21.96/5.68 | (131) ~ (all_0_42_42 = e2) % 21.96/5.68 | (132) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_38_38 = e0 & ~ (all_0_37_37 = e1) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_58_58 = e1 & ~ (all_0_51_51 = e0) & ~ (all_0_59_59 = e2)) % 21.96/5.68 | (133) all_0_52_52 = e4 | all_0_52_52 = e2 | all_0_52_52 = e1 | all_0_52_52 = e0 % 21.96/5.68 | (134) ~ (e2 = e1) % 21.96/5.68 | (135) ~ (all_0_41_41 = all_0_46_46) % 21.96/5.68 | (136) ~ (all_0_41_41 = all_0_42_42) % 21.96/5.68 | (137) all_0_54_54 = e3 | all_0_54_54 = e2 | all_0_54_54 = e1 % 21.96/5.68 | (138) all_0_54_54 = e2 | all_0_55_55 = e2 % 21.96/5.68 | (139) ~ (e2 = e0) % 21.96/5.69 | (140) all_0_44_44 = e3 | all_0_53_53 = e3 | all_0_56_56 = e3 % 21.96/5.69 | (141) all_0_56_56 = e0 | all_0_57_57 = e0 | all_0_59_59 = e0 | all_0_60_60 = e0 % 21.96/5.69 | (142) ~ (all_0_45_45 = all_0_47_47) % 21.96/5.69 | (143) op(unit, e3) = e3 % 21.96/5.69 | (144) op(all_0_46_46, e2) = all_0_12_12 % 21.96/5.69 | (145) op(all_0_58_58, e0) = all_0_35_35 % 21.96/5.69 | (146) op(all_0_55_55, e0) = all_0_30_30 % 21.96/5.69 | (147) all_0_42_42 = e1 | all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_59_59 = e1 % 21.96/5.69 | (148) op(all_0_49_49, e4) = all_0_18_18 % 21.96/5.69 | (149) op(e2, e1) = all_0_51_51 % 21.96/5.69 | (150) op(e0, e3) = all_0_57_57 % 21.96/5.69 | (151) ~ (all_0_46_46 = e0) % 21.96/5.69 | (152) ~ (all_0_56_56 = all_0_57_57) % 21.96/5.69 | (153) ~ (all_0_42_42 = all_0_51_51) % 21.96/5.69 | (154) op(e1, e3) = all_0_54_54 % 21.96/5.69 | (155) all_0_45_45 = e2 | all_0_46_46 = e2 | all_0_47_47 = e2 | all_0_48_48 = e2 % 21.96/5.69 | (156) ~ (all_0_52_52 = all_0_60_60) % 21.96/5.69 | (157) ~ (all_0_50_50 = all_0_51_51) % 21.96/5.69 | (158) op(e3, e1) = all_0_47_47 % 21.96/5.69 | (159) op(all_0_49_49, e2) = all_0_17_17 % 21.96/5.69 | (160) all_0_50_50 = e4 | all_0_50_50 = e2 | all_0_50_50 = e1 | all_0_50_50 = e0 % 21.96/5.69 | (161) ~ (all_0_58_58 = e3) % 21.96/5.69 | (162) op(unit, e4) = e4 % 21.96/5.69 | (163) all_0_44_44 = e3 | all_0_45_45 = e3 | all_0_47_47 = e3 | all_0_48_48 = e3 % 21.96/5.69 | (164) ~ (all_0_53_53 = e2) % 21.96/5.69 | (165) all_0_47_47 = e3 | all_0_47_47 = e2 | all_0_47_47 = e1 | all_0_47_47 = e0 % 21.96/5.69 | (166) op(all_0_59_59, e0) = all_0_37_37 % 21.96/5.69 | (167) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e1 | all_0_43_43 = e0 % 21.96/5.69 | (168) op(all_0_45_45, e3) = all_0_10_10 % 21.96/5.69 | (169) op(all_0_51_51, e2) = all_0_21_21 % 21.96/5.69 | (170) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e1 | all_0_44_44 = e0 % 21.96/5.69 | (171) ~ (all_0_47_47 = all_0_51_51) % 21.96/5.69 | (172) all_0_60_60 = e4 | all_0_60_60 = e3 | all_0_60_60 = e2 | all_0_60_60 = e1 | all_0_60_60 = e0 % 21.96/5.69 | (173) all_0_49_49 = e1 | all_0_50_50 = e1 | all_0_51_51 = e1 | all_0_52_52 = e1 % 21.96/5.69 | (174) ~ (all_0_46_46 = all_0_48_48) % 21.96/5.69 | (175) ~ (all_0_53_53 = all_0_56_56) % 21.96/5.69 | (176) ~ (all_0_48_48 = all_0_55_55) % 21.96/5.69 | (177) op(all_0_47_47, e3) = all_0_13_13 % 21.96/5.69 | (178) ~ (all_0_55_55 = e0) % 21.96/5.69 | (179) ~ (all_0_46_46 = all_0_47_47) % 21.96/5.69 | (180) op(all_0_53_53, e4) = all_0_26_26 % 21.96/5.69 | (181) op(all_0_43_43, e4) = all_0_6_6 % 21.96/5.69 | (182) ~ (all_0_49_49 = all_0_53_53) % 21.96/5.69 | (183) op(all_0_41_41, e2) = all_0_3_3 % 21.96/5.69 | (184) ~ (e4 = e3) % 21.96/5.69 | (185) op(e0, e2) = all_0_58_58 % 21.96/5.69 | (186) all_0_41_41 = e1 | all_0_46_46 = e1 | all_0_58_58 = e1 % 21.96/5.69 | (187) op(e4, e4) = e2 % 21.96/5.69 | (188) ~ (all_0_43_43 = e2) % 21.96/5.69 | (189) ~ (all_0_49_49 = all_0_50_50) % 21.96/5.69 | (190) all_0_41_41 = e4 | all_0_41_41 = e1 % 21.96/5.69 | (191) op(all_0_58_58, e2) = all_0_36_36 % 21.96/5.69 | (192) all_0_46_46 = e4 | all_0_46_46 = e2 | all_0_46_46 = e1 % 21.96/5.69 | (193) ~ (all_0_53_53 = all_0_55_55) % 21.96/5.69 | (194) ~ (all_0_43_43 = all_0_52_52) % 21.96/5.69 | (195) ~ (all_0_44_44 = all_0_56_56) % 21.96/5.69 | (196) ~ (all_0_50_50 = all_0_54_54) % 21.96/5.70 | (197) op(all_0_53_53, e1) = all_0_25_25 % 21.96/5.70 | (198) ~ (all_0_57_57 = all_0_59_59) % 21.96/5.70 | (199) ~ (all_0_58_58 = e0) % 21.96/5.70 | (200) ~ (all_0_56_56 = all_0_60_60) % 21.96/5.70 | (201) all_0_51_51 = e2 | all_0_51_51 = e1 | all_0_51_51 = e0 % 21.96/5.70 | (202) op(e3, e0) = all_0_48_48 % 21.96/5.70 | (203) all_0_41_41 = e4 | all_0_46_46 = e4 | all_0_58_58 = e4 % 21.96/5.70 | (204) ~ (all_0_40_40 = all_0_42_42) % 21.96/5.70 | (205) ~ (all_0_44_44 = all_0_49_49) % 21.96/5.70 | (206) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 21.96/5.70 | (207) op(e2, e3) = all_0_50_50 % 21.96/5.70 | (208) ~ (all_0_57_57 = all_0_58_58) % 21.96/5.70 | (209) op(e1, e4) = all_0_53_53 % 21.96/5.70 | (210) ~ (all_0_54_54 = e0) % 21.96/5.70 | (211) ~ (all_0_54_54 = e4) % 21.96/5.70 | (212) all_0_40_40 = e0 | all_0_42_42 = e0 | all_0_43_43 = e0 % 21.96/5.70 | (213) ~ (e3 = e2) % 21.96/5.70 | (214) ~ (e3 = e1) % 21.96/5.70 | (215) all_0_59_59 = e3 | all_0_59_59 = e2 | all_0_59_59 = e1 | all_0_59_59 = e0 % 21.96/5.70 | (216) all_0_40_40 = e4 | all_0_41_41 = e4 | all_0_43_43 = e4 % 21.96/5.70 | (217) op(e2, e0) = all_0_52_52 % 21.96/5.70 | (218) op(e1, e0) = all_0_55_55 % 21.96/5.70 | (219) ~ (all_0_40_40 = all_0_45_45) % 21.96/5.70 | (220) ~ (all_0_45_45 = all_0_54_54) % 21.96/5.70 | (221) op(e1, unit) = e1 % 21.96/5.70 | (222) op(all_0_55_55, e1) = all_0_29_29 % 21.96/5.70 | (223) ~ (all_0_40_40 = all_0_41_41) % 21.96/5.70 | (224) ~ (all_0_47_47 = all_0_48_48) % 21.96/5.70 | (225) op(all_0_48_48, e3) = all_0_15_15 % 21.96/5.70 | (226) all_0_49_49 = e4 | all_0_50_50 = e4 | all_0_52_52 = e4 % 21.96/5.70 | (227) op(e1, e1) = e4 % 21.96/5.70 | (228) ~ (all_0_55_55 = e4) % 21.96/5.70 | (229) op(all_0_56_56, e4) = all_0_32_32 % 21.96/5.70 | (230) ~ (all_0_56_56 = all_0_58_58) % 21.96/5.70 | (231) ~ (e1 = e0) % 21.96/5.70 | (232) all_0_53_53 = e3 | all_0_53_53 = e1 % 21.96/5.70 | (233) op(e4, e3) = all_0_40_40 % 21.96/5.70 | (234) ~ (all_0_50_50 = all_0_52_52) % 21.96/5.70 | (235) op(all_0_47_47, e1) = all_0_14_14 % 21.96/5.70 | (236) ~ (all_0_46_46 = all_0_58_58) % 21.96/5.70 | (237) all_0_56_56 = e4 | all_0_57_57 = e4 | all_0_58_58 = e4 | all_0_60_60 = e4 % 21.96/5.70 | (238) ~ (all_0_40_40 = all_0_43_43) % 21.96/5.70 | (239) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e2 | all_0_57_57 = e1 | all_0_57_57 = e0 % 21.96/5.70 | (240) op(all_0_46_46, e3) = all_0_11_11 % 21.96/5.70 | (241) ~ (all_0_51_51 = e3) % 21.96/5.70 | (242) ~ (all_0_42_42 = all_0_47_47) % 21.96/5.70 | (243) op(e4, unit) = e4 % 21.96/5.70 | (244) all_0_48_48 = e2 | all_0_52_52 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 21.96/5.70 | (245) all_0_57_57 = e2 | all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 21.96/5.70 | (246) ~ (all_0_40_40 = e2) % 21.96/5.71 | (247) ~ (all_0_42_42 = e4) % 21.96/5.71 | (248) all_0_45_45 = e2 | all_0_50_50 = e2 | all_0_54_54 = e2 | all_0_57_57 = e2 % 21.96/5.71 | (249) ~ (all_0_48_48 = all_0_60_60) % 21.96/5.71 | (250) ~ (all_0_41_41 = e3) % 21.96/5.71 | (251) all_0_42_42 = e3 | all_0_47_47 = e3 | all_0_59_59 = e3 % 21.96/5.71 | (252) ~ (all_0_50_50 = e3) % 21.96/5.71 | % 21.96/5.71 +-Applying beta-rule and splitting (190), into two cases. % 21.96/5.71 |-Branch one: % 21.96/5.71 | (253) all_0_41_41 = e1 % 21.96/5.71 | % 21.96/5.71 | Equations (253) can reduce 223 to: % 21.96/5.71 | (254) ~ (all_0_40_40 = e1) % 21.96/5.71 | % 21.96/5.71 | Equations (253) can reduce 136 to: % 21.96/5.71 | (255) ~ (all_0_42_42 = e1) % 21.96/5.71 | % 21.96/5.71 | Simplifying 255 yields: % 21.96/5.71 | (256) ~ (all_0_42_42 = e1) % 21.96/5.71 | % 21.96/5.71 | Equations (253) can reduce 108 to: % 21.96/5.71 | (257) ~ (all_0_43_43 = e1) % 21.96/5.71 | % 21.96/5.71 | Simplifying 257 yields: % 21.96/5.71 | (258) ~ (all_0_43_43 = e1) % 21.96/5.71 | % 21.96/5.71 | Equations (253) can reduce 135 to: % 21.96/5.71 | (259) ~ (all_0_46_46 = e1) % 21.96/5.71 | % 21.96/5.71 | Simplifying 259 yields: % 21.96/5.71 | (260) ~ (all_0_46_46 = e1) % 21.96/5.71 | % 21.96/5.71 | Equations (253) can reduce 59 to: % 21.96/5.71 | (261) ~ (all_0_58_58 = e1) % 21.96/5.71 | % 21.96/5.71 | Simplifying 261 yields: % 21.96/5.71 | (262) ~ (all_0_58_58 = e1) % 21.96/5.71 | % 21.96/5.71 | Equations (253) can reduce 50 to: % 21.96/5.71 | (263) ~ (e2 = e1) % 21.96/5.71 | % 21.96/5.71 | Simplifying 263 yields: % 21.96/5.71 | (134) ~ (e2 = e1) % 21.96/5.71 | % 21.96/5.71 | Equations (253) can reduce 31 to: % 21.96/5.71 | (231) ~ (e1 = e0) % 21.96/5.71 | % 21.96/5.71 | From (253) and (130) follows: % 21.96/5.71 | (266) op(e1, e4) = all_0_2_2 % 21.96/5.71 | % 21.96/5.71 | From (253) and (183) follows: % 21.96/5.72 | (267) op(e1, e2) = all_0_3_3 % 21.96/5.72 | % 21.96/5.72 | From (253) and (126) follows: % 21.96/5.72 | (268) op(e4, e2) = e1 % 21.96/5.72 | % 21.96/5.72 | Instantiating formula (206) with e1, e4, all_0_2_2, all_0_53_53 and discharging atoms op(e1, e4) = all_0_2_2, op(e1, e4) = all_0_53_53, yields: % 21.96/5.72 | (269) all_0_2_2 = all_0_53_53 % 21.96/5.72 | % 21.96/5.72 | Instantiating formula (206) with e1, e2, all_0_3_3, e0 and discharging atoms op(e1, e2) = all_0_3_3, op(e1, e2) = e0, yields: % 21.96/5.72 | (270) all_0_3_3 = e0 % 21.96/5.72 | % 21.96/5.72 | From (269) and (266) follows: % 21.96/5.72 | (209) op(e1, e4) = all_0_53_53 % 21.96/5.72 | % 21.96/5.72 +-Applying beta-rule and splitting (232), into two cases. % 21.96/5.72 |-Branch one: % 21.96/5.72 | (272) all_0_53_53 = e1 % 21.96/5.72 | % 21.96/5.72 | Equations (272) can reduce 78 to: % 21.96/5.72 | (273) ~ (all_0_44_44 = e1) % 21.96/5.72 | % 21.96/5.72 | Equations (272) can reduce 56 to: % 21.96/5.72 | (274) ~ (all_0_54_54 = e1) % 21.96/5.72 | % 21.96/5.72 | Simplifying 274 yields: % 21.96/5.72 | (275) ~ (all_0_54_54 = e1) % 21.96/5.72 | % 21.96/5.72 | Equations (272) can reduce 193 to: % 21.96/5.72 | (276) ~ (all_0_55_55 = e1) % 21.96/5.72 | % 21.96/5.72 | Simplifying 276 yields: % 21.96/5.72 | (277) ~ (all_0_55_55 = e1) % 21.96/5.72 | % 21.96/5.72 | Equations (272) can reduce 175 to: % 21.96/5.72 | (278) ~ (all_0_56_56 = e1) % 21.96/5.72 | % 21.96/5.72 | Simplifying 278 yields: % 21.96/5.72 | (279) ~ (all_0_56_56 = e1) % 21.96/5.72 | % 21.96/5.72 | Equations (272) can reduce 122 to: % 21.96/5.72 | (231) ~ (e1 = e0) % 21.96/5.72 | % 21.96/5.72 | From (272) and (197) follows: % 21.96/5.72 | (281) op(e1, e1) = all_0_25_25 % 21.96/5.72 | % 21.96/5.72 | Instantiating formula (206) with e1, e1, all_0_25_25, e4 and discharging atoms op(e1, e1) = all_0_25_25, op(e1, e1) = e4, yields: % 21.96/5.72 | (282) all_0_25_25 = e4 % 21.96/5.72 | % 21.96/5.72 | From (282) and (281) follows: % 21.96/5.72 | (227) op(e1, e1) = e4 % 21.96/5.72 | % 21.96/5.72 +-Applying beta-rule and splitting (69), into two cases. % 21.96/5.72 |-Branch one: % 21.96/5.72 | (284) all_0_45_45 = e1 % 21.96/5.72 | % 21.96/5.72 | Equations (284) can reduce 219 to: % 21.96/5.72 | (254) ~ (all_0_40_40 = e1) % 21.96/5.72 | % 21.96/5.72 | Equations (284) can reduce 40 to: % 21.96/5.72 | (273) ~ (all_0_44_44 = e1) % 21.96/5.72 | % 21.96/5.72 | Equations (284) can reduce 39 to: % 21.96/5.72 | (259) ~ (all_0_46_46 = e1) % 21.96/5.72 | % 21.96/5.72 | Simplifying 259 yields: % 21.96/5.72 | (260) ~ (all_0_46_46 = e1) % 21.96/5.72 | % 21.96/5.72 | Equations (284) can reduce 102 to: % 21.96/5.72 | (289) ~ (all_0_48_48 = e1) % 21.96/5.72 | % 21.96/5.72 | Simplifying 289 yields: % 21.96/5.72 | (290) ~ (all_0_48_48 = e1) % 21.96/5.73 | % 21.96/5.73 | Equations (284) can reduce 220 to: % 21.96/5.73 | (274) ~ (all_0_54_54 = e1) % 21.96/5.73 | % 21.96/5.73 | Simplifying 274 yields: % 21.96/5.73 | (275) ~ (all_0_54_54 = e1) % 21.96/5.73 | % 21.96/5.73 | Equations (284) can reduce 94 to: % 21.96/5.73 | (293) ~ (all_0_57_57 = e1) % 21.96/5.73 | % 21.96/5.73 | Simplifying 293 yields: % 21.96/5.73 | (294) ~ (all_0_57_57 = e1) % 21.96/5.73 | % 21.96/5.73 +-Applying beta-rule and splitting (79), into two cases. % 21.96/5.73 |-Branch one: % 21.96/5.73 | (295) all_0_45_45 = e0 % 21.96/5.73 | % 21.96/5.73 | Combining equations (284,295) yields a new equation: % 21.96/5.73 | (296) e1 = e0 % 21.96/5.73 | % 21.96/5.73 | Simplifying 296 yields: % 21.96/5.73 | (297) e1 = e0 % 21.96/5.73 | % 21.96/5.73 | Equations (297) can reduce 231 to: % 21.96/5.73 | (298) $false % 21.96/5.73 | % 21.96/5.73 |-The branch is then unsatisfiable % 21.96/5.73 |-Branch two: % 21.96/5.73 | (299) ~ (all_0_45_45 = e0) % 21.96/5.73 | (300) all_0_60_60 = e0 % 21.96/5.73 | % 21.96/5.73 | Equations (300) can reduce 77 to: % 21.96/5.73 | (301) ~ (all_0_43_43 = e0) % 21.96/5.73 | % 21.96/5.73 | Equations (284) can reduce 299 to: % 21.96/5.73 | (231) ~ (e1 = e0) % 21.96/5.73 | % 21.96/5.73 | Equations (300) can reduce 249 to: % 21.96/5.73 | (303) ~ (all_0_48_48 = e0) % 21.96/5.73 | % 21.96/5.73 | Equations (300) can reduce 156 to: % 21.96/5.73 | (304) ~ (all_0_52_52 = e0) % 21.96/5.73 | % 21.96/5.73 | Equations (300) can reduce 90 to: % 21.96/5.73 | (178) ~ (all_0_55_55 = e0) % 21.96/5.73 | % 21.96/5.73 | Equations (300) can reduce 200 to: % 21.96/5.73 | (306) ~ (all_0_56_56 = e0) % 21.96/5.73 | % 21.96/5.73 | Equations (300) can reduce 62 to: % 21.96/5.73 | (307) ~ (all_0_57_57 = e0) % 21.96/5.73 | % 21.96/5.73 | Equations (300) can reduce 7 to: % 21.96/5.73 | (199) ~ (all_0_58_58 = e0) % 21.96/5.73 | % 21.96/5.73 | Equations (300) can reduce 5 to: % 21.96/5.73 | (309) ~ (all_0_59_59 = e0) % 21.96/5.73 | % 21.96/5.73 +-Applying beta-rule and splitting (83), into two cases. % 21.96/5.73 |-Branch one: % 21.96/5.73 | (310) all_0_43_43 = e1 % 21.96/5.73 | % 21.96/5.73 | Equations (310) can reduce 258 to: % 21.96/5.73 | (298) $false % 21.96/5.73 | % 21.96/5.73 |-The branch is then unsatisfiable % 21.96/5.73 |-Branch two: % 21.96/5.73 | (258) ~ (all_0_43_43 = e1) % 21.96/5.73 | (313) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1 % 21.96/5.73 | % 21.96/5.73 +-Applying beta-rule and splitting (93), into two cases. % 21.96/5.73 |-Branch one: % 21.96/5.73 | (314) all_0_56_56 = e1 % 21.96/5.73 | % 21.96/5.73 | Equations (314) can reduce 279 to: % 21.96/5.73 | (298) $false % 21.96/5.73 | % 21.96/5.73 |-The branch is then unsatisfiable % 21.96/5.73 |-Branch two: % 21.96/5.73 | (279) ~ (all_0_56_56 = e1) % 21.96/5.73 | (317) all_0_57_57 = e1 | all_0_58_58 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 21.96/5.73 | % 21.96/5.73 +-Applying beta-rule and splitting (313), into two cases. % 21.96/5.73 |-Branch one: % 21.96/5.73 | (318) all_0_48_48 = e1 % 21.96/5.73 | % 21.96/5.73 | Equations (318) can reduce 290 to: % 21.96/5.73 | (298) $false % 21.96/5.73 | % 21.96/5.73 |-The branch is then unsatisfiable % 21.96/5.73 |-Branch two: % 21.96/5.73 | (290) ~ (all_0_48_48 = e1) % 21.96/5.73 | (321) all_0_52_52 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1 % 21.96/5.73 | % 21.96/5.73 +-Applying beta-rule and splitting (317), into two cases. % 21.96/5.73 |-Branch one: % 21.96/5.73 | (322) all_0_57_57 = e1 % 21.96/5.73 | % 21.96/5.73 | Equations (322) can reduce 294 to: % 21.96/5.73 | (298) $false % 21.96/5.73 | % 21.96/5.73 |-The branch is then unsatisfiable % 21.96/5.73 |-Branch two: % 21.96/5.73 | (294) ~ (all_0_57_57 = e1) % 21.96/5.73 | (325) all_0_58_58 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 21.96/5.73 | % 21.96/5.73 +-Applying beta-rule and splitting (321), into two cases. % 21.96/5.73 |-Branch one: % 21.96/5.73 | (326) all_0_52_52 = e1 % 21.96/5.73 | % 21.96/5.73 | Equations (326) can reduce 194 to: % 21.96/5.73 | (258) ~ (all_0_43_43 = e1) % 21.96/5.73 | % 21.96/5.73 | Equations (326) can reduce 88 to: % 21.96/5.73 | (290) ~ (all_0_48_48 = e1) % 21.96/5.73 | % 21.96/5.73 | Equations (326) can reduce 44 to: % 21.96/5.73 | (329) ~ (all_0_49_49 = e1) % 21.96/5.73 | % 21.96/5.73 | Equations (326) can reduce 234 to: % 21.96/5.73 | (330) ~ (all_0_50_50 = e1) % 21.96/5.73 | % 21.96/5.73 | Equations (326) can reduce 42 to: % 21.96/5.73 | (276) ~ (all_0_55_55 = e1) % 21.96/5.73 | % 21.96/5.73 | Simplifying 276 yields: % 21.96/5.73 | (277) ~ (all_0_55_55 = e1) % 21.96/5.73 | % 21.96/5.73 | Equations (326) can reduce 95 to: % 21.96/5.73 | (333) ~ (e3 = e1) % 21.96/5.73 | % 21.96/5.73 | Simplifying 333 yields: % 21.96/5.73 | (214) ~ (e3 = e1) % 21.96/5.73 | % 21.96/5.73 | Equations (326) can reduce 304 to: % 21.96/5.73 | (231) ~ (e1 = e0) % 21.96/5.73 | % 21.96/5.73 | From (326) and (71) follows: % 21.96/5.73 | (336) op(e1, e0) = all_0_24_24 % 21.96/5.73 | % 21.96/5.73 +-Applying beta-rule and splitting (325), into two cases. % 21.96/5.73 |-Branch one: % 21.96/5.73 | (337) all_0_58_58 = e1 % 21.96/5.73 | % 21.96/5.73 | Equations (337) can reduce 262 to: % 21.96/5.73 | (298) $false % 21.96/5.73 | % 21.96/5.73 |-The branch is then unsatisfiable % 21.96/5.73 |-Branch two: % 21.96/5.74 | (262) ~ (all_0_58_58 = e1) % 21.96/5.74 | (340) all_0_59_59 = e1 | all_0_60_60 = e1 % 21.96/5.74 | % 21.96/5.74 +-Applying beta-rule and splitting (340), into two cases. % 21.96/5.74 |-Branch one: % 21.96/5.74 | (341) all_0_59_59 = e1 % 21.96/5.74 | % 21.96/5.74 | Equations (341) can reduce 118 to: % 21.96/5.74 | (256) ~ (all_0_42_42 = e1) % 21.96/5.74 | % 21.96/5.74 | Equations (341) can reduce 119 to: % 21.96/5.74 | (343) ~ (all_0_47_47 = e1) % 21.96/5.74 | % 21.96/5.74 | Equations (341) can reduce 73 to: % 21.96/5.74 | (344) ~ (all_0_51_51 = e1) % 21.96/5.74 | % 21.96/5.74 | Equations (341) can reduce 99 to: % 21.96/5.74 | (279) ~ (all_0_56_56 = e1) % 21.96/5.74 | % 21.96/5.74 | Equations (341) can reduce 25 to: % 21.96/5.74 | (262) ~ (all_0_58_58 = e1) % 21.96/5.74 | % 21.96/5.74 | Equations (341) can reduce 123 to: % 21.96/5.74 | (347) ~ (e4 = e1) % 21.96/5.74 | % 21.96/5.74 | Simplifying 347 yields: % 21.96/5.74 | (115) ~ (e4 = e1) % 21.96/5.74 | % 21.96/5.74 | Equations (341) can reduce 309 to: % 21.96/5.74 | (231) ~ (e1 = e0) % 21.96/5.74 | % 21.96/5.74 | From (341) and (121) follows: % 21.96/5.74 | (350) op(e1, e1) = all_0_38_38 % 21.96/5.74 | % 21.96/5.74 | From (341) and (166) follows: % 21.96/5.74 | (351) op(e1, e0) = all_0_37_37 % 21.96/5.74 | % 21.96/5.74 | Instantiating formula (206) with e1, e1, all_0_38_38, e4 and discharging atoms op(e1, e1) = all_0_38_38, op(e1, e1) = e4, yields: % 21.96/5.74 | (352) all_0_38_38 = e4 % 21.96/5.74 | % 21.96/5.74 | Instantiating formula (206) with e1, e0, all_0_24_24, all_0_55_55 and discharging atoms op(e1, e0) = all_0_24_24, op(e1, e0) = all_0_55_55, yields: % 21.96/5.74 | (353) all_0_24_24 = all_0_55_55 % 21.96/5.74 | % 21.96/5.74 | Instantiating formula (206) with e1, e0, all_0_37_37, all_0_24_24 and discharging atoms op(e1, e0) = all_0_24_24, op(e1, e0) = all_0_37_37, yields: % 21.96/5.74 | (354) all_0_24_24 = all_0_37_37 % 21.96/5.74 | % 21.96/5.74 | Combining equations (353,354) yields a new equation: % 21.96/5.74 | (355) all_0_37_37 = all_0_55_55 % 21.96/5.74 | % 21.96/5.74 | From (352) and (350) follows: % 21.96/5.74 | (227) op(e1, e1) = e4 % 21.96/5.74 | % 21.96/5.74 | From (355) and (351) follows: % 21.96/5.74 | (218) op(e1, e0) = all_0_55_55 % 21.96/5.74 | % 21.96/5.74 +-Applying beta-rule and splitting (57), into two cases. % 21.96/5.74 |-Branch one: % 21.96/5.74 | (358) all_0_46_46 = e2 % 21.96/5.74 | % 21.96/5.74 | Equations (358) can reduce 120 to: % 21.96/5.74 | (107) ~ (all_0_44_44 = e2) % 21.96/5.74 | % 21.96/5.74 | Equations (358) can reduce 179 to: % 21.96/5.74 | (360) ~ (all_0_47_47 = e2) % 21.96/5.74 | % 21.96/5.74 | Simplifying 360 yields: % 21.96/5.74 | (361) ~ (all_0_47_47 = e2) % 21.96/5.74 | % 21.96/5.74 | Equations (358) can reduce 174 to: % 21.96/5.74 | (362) ~ (all_0_48_48 = e2) % 21.96/5.74 | % 21.96/5.74 | Simplifying 362 yields: % 21.96/5.74 | (363) ~ (all_0_48_48 = e2) % 21.96/5.74 | % 21.96/5.74 | Equations (358) can reduce 260 to: % 21.96/5.74 | (134) ~ (e2 = e1) % 21.96/5.74 | % 21.96/5.74 | Equations (358) can reduce 151 to: % 21.96/5.74 | (139) ~ (e2 = e0) % 21.96/5.74 | % 21.96/5.74 | From (358) and (240) follows: % 21.96/5.74 | (366) op(e2, e3) = all_0_11_11 % 21.96/5.74 | % 21.96/5.74 | From (358) and (144) follows: % 21.96/5.74 | (367) op(e2, e2) = all_0_12_12 % 21.96/5.74 | % 21.96/5.74 +-Applying beta-rule and splitting (32), into two cases. % 21.96/5.74 |-Branch one: % 21.96/5.74 | (368) all_0_47_47 = e2 % 21.96/5.74 | % 21.96/5.74 | Equations (368) can reduce 361 to: % 21.96/5.74 | (298) $false % 21.96/5.74 | % 21.96/5.74 |-The branch is then unsatisfiable % 21.96/5.74 |-Branch two: % 21.96/5.74 | (361) ~ (all_0_47_47 = e2) % 21.96/5.74 | (371) all_0_51_51 = e2 | all_0_59_59 = e2 % 21.96/5.74 | % 21.96/5.74 +-Applying beta-rule and splitting (245), into two cases. % 21.96/5.74 |-Branch one: % 21.96/5.74 | (372) all_0_57_57 = e2 % 21.96/5.74 | % 21.96/5.74 | Equations (372) can reduce 81 to: % 21.96/5.74 | (373) ~ (all_0_54_54 = e2) % 21.96/5.74 | % 21.96/5.74 | From (372) and (30) follows: % 21.96/5.74 | (374) op(e2, e3) = all_0_34_34 % 21.96/5.74 | % 21.96/5.74 | From (372) and (150) follows: % 21.96/5.74 | (375) op(e0, e3) = e2 % 21.96/5.74 | % 21.96/5.74 +-Applying beta-rule and splitting (96), into two cases. % 21.96/5.74 |-Branch one: % 21.96/5.74 | (376) all_0_56_56 = e3 % 21.96/5.74 | % 21.96/5.74 | Equations (376) can reduce 106 to: % 21.96/5.74 | (111) ~ (all_0_49_49 = e3) % 21.96/5.74 | % 21.96/5.74 | Equations (376) can reduce 279 to: % 21.96/5.74 | (214) ~ (e3 = e1) % 21.96/5.74 | % 21.96/5.74 | From (376) and (229) follows: % 21.96/5.74 | (379) op(e3, e4) = all_0_32_32 % 21.96/5.74 | % 21.96/5.74 | From (376) and (58) follows: % 21.96/5.74 | (380) op(e3, e0) = all_0_31_31 % 21.96/5.74 | % 21.96/5.74 | From (376) and (48) follows: % 21.96/5.74 | (381) op(e0, e4) = e3 % 21.96/5.74 | % 21.96/5.74 +-Applying beta-rule and splitting (138), into two cases. % 21.96/5.74 |-Branch one: % 21.96/5.74 | (382) all_0_54_54 = e2 % 21.96/5.74 | % 21.96/5.74 | Equations (382) can reduce 373 to: % 21.96/5.74 | (298) $false % 21.96/5.74 | % 21.96/5.74 |-The branch is then unsatisfiable % 21.96/5.74 |-Branch two: % 21.96/5.74 | (373) ~ (all_0_54_54 = e2) % 21.96/5.74 | (385) all_0_55_55 = e2 % 21.96/5.74 | % 21.96/5.74 | Equations (385) can reduce 176 to: % 21.96/5.74 | (363) ~ (all_0_48_48 = e2) % 21.96/5.74 | % 21.96/5.74 | Equations (385) can reduce 277 to: % 21.96/5.74 | (134) ~ (e2 = e1) % 21.96/5.74 | % 21.96/5.74 | From (385) and (222) follows: % 21.96/5.74 | (388) op(e2, e1) = all_0_29_29 % 21.96/5.74 | % 21.96/5.74 | From (385) and (218) follows: % 21.96/5.74 | (389) op(e1, e0) = e2 % 21.96/5.74 | % 21.96/5.74 +-Applying beta-rule and splitting (237), into two cases. % 21.96/5.74 |-Branch one: % 21.96/5.74 | (390) all_0_56_56 = e4 % 21.96/5.74 | % 21.96/5.74 | Combining equations (390,376) yields a new equation: % 21.96/5.74 | (391) e4 = e3 % 21.96/5.74 | % 21.96/5.74 | Simplifying 391 yields: % 21.96/5.74 | (392) e4 = e3 % 21.96/5.74 | % 21.96/5.74 | Equations (392) can reduce 184 to: % 21.96/5.74 | (298) $false % 21.96/5.74 | % 21.96/5.74 |-The branch is then unsatisfiable % 21.96/5.74 |-Branch two: % 21.96/5.74 | (394) ~ (all_0_56_56 = e4) % 21.96/5.74 | (395) all_0_57_57 = e4 | all_0_58_58 = e4 | all_0_60_60 = e4 % 21.96/5.74 | % 21.96/5.74 +-Applying beta-rule and splitting (371), into two cases. % 21.96/5.74 |-Branch one: % 21.96/5.74 | (396) all_0_51_51 = e2 % 21.96/5.74 | % 21.96/5.74 | Equations (396) can reduce 171 to: % 21.96/5.74 | (361) ~ (all_0_47_47 = e2) % 21.96/5.74 | % 21.96/5.74 | Equations (396) can reduce 157 to: % 21.96/5.74 | (398) ~ (all_0_50_50 = e2) % 21.96/5.74 | % 21.96/5.74 | Equations (396) can reduce 37 to: % 21.96/5.74 | (399) ~ (e4 = e2) % 21.96/5.74 | % 21.96/5.74 | Simplifying 399 yields: % 21.96/5.74 | (46) ~ (e4 = e2) % 21.96/5.74 | % 21.96/5.74 | Equations (396) can reduce 241 to: % 21.96/5.74 | (401) ~ (e3 = e2) % 21.96/5.74 | % 21.96/5.74 | Simplifying 401 yields: % 21.96/5.74 | (213) ~ (e3 = e2) % 21.96/5.74 | % 21.96/5.74 | Equations (396) can reduce 344 to: % 21.96/5.74 | (134) ~ (e2 = e1) % 21.96/5.74 | % 21.96/5.74 | From (396) and (169) follows: % 21.96/5.74 | (404) op(e2, e2) = all_0_21_21 % 21.96/5.74 | % 21.96/5.74 | From (396) and (33) follows: % 21.96/5.74 | (405) op(e2, e1) = all_0_22_22 % 22.28/5.74 | % 22.28/5.74 | From (396) and (149) follows: % 22.28/5.74 | (406) op(e2, e1) = e2 % 22.28/5.74 | % 22.28/5.74 +-Applying beta-rule and splitting (395), into two cases. % 22.28/5.74 |-Branch one: % 22.28/5.74 | (407) all_0_57_57 = e4 % 22.28/5.74 | % 22.28/5.74 | Combining equations (407,372) yields a new equation: % 22.28/5.74 | (408) e4 = e2 % 22.28/5.74 | % 22.28/5.74 | Simplifying 408 yields: % 22.28/5.74 | (409) e4 = e2 % 22.28/5.74 | % 22.28/5.74 | Equations (409) can reduce 46 to: % 22.28/5.74 | (298) $false % 22.28/5.74 | % 22.28/5.74 |-The branch is then unsatisfiable % 22.28/5.74 |-Branch two: % 22.28/5.74 | (411) ~ (all_0_57_57 = e4) % 22.28/5.74 | (412) all_0_58_58 = e4 | all_0_60_60 = e4 % 22.28/5.74 | % 22.28/5.74 +-Applying beta-rule and splitting (412), into two cases. % 22.28/5.74 |-Branch one: % 22.28/5.74 | (413) all_0_58_58 = e4 % 22.28/5.74 | % 22.28/5.74 | Equations (413) can reduce 262 to: % 22.28/5.74 | (115) ~ (e4 = e1) % 22.28/5.74 | % 22.28/5.74 | Equations (413) can reduce 199 to: % 22.28/5.74 | (47) ~ (e4 = e0) % 22.28/5.74 | % 22.28/5.74 | From (413) and (191) follows: % 22.28/5.74 | (416) op(e4, e2) = all_0_36_36 % 22.28/5.74 | % 22.28/5.74 | From (413) and (145) follows: % 22.28/5.74 | (417) op(e4, e0) = all_0_35_35 % 22.28/5.75 | % 22.28/5.75 | From (413) and (185) follows: % 22.28/5.75 | (418) op(e0, e2) = e4 % 22.28/5.75 | % 22.28/5.75 +-Applying beta-rule and splitting (128), into two cases. % 22.28/5.75 |-Branch one: % 22.28/5.75 | (419) all_0_53_53 = e3 % 22.28/5.75 | % 22.28/5.75 | Combining equations (272,419) yields a new equation: % 22.28/5.75 | (420) e3 = e1 % 22.28/5.75 | % 22.28/5.75 | Equations (420) can reduce 214 to: % 22.28/5.75 | (298) $false % 22.28/5.75 | % 22.28/5.75 |-The branch is then unsatisfiable % 22.28/5.75 |-Branch two: % 22.28/5.75 | (422) ~ (all_0_53_53 = e3) % 22.28/5.75 | (423) all_0_54_54 = e3 | all_0_55_55 = e3 % 22.28/5.75 | % 22.28/5.75 +-Applying beta-rule and splitting (423), into two cases. % 22.28/5.75 |-Branch one: % 22.28/5.75 | (424) all_0_54_54 = e3 % 22.28/5.75 | % 22.28/5.75 | Equations (424) can reduce 35 to: % 22.28/5.75 | (425) ~ (all_0_40_40 = e3) % 22.28/5.75 | % 22.28/5.75 | Equations (424) can reduce 196 to: % 22.28/5.75 | (252) ~ (all_0_50_50 = e3) % 22.28/5.75 | % 22.28/5.75 | Equations (424) can reduce 210 to: % 22.28/5.75 | (84) ~ (e3 = e0) % 22.28/5.75 | % 22.28/5.75 | From (424) and (38) follows: % 22.28/5.75 | (428) op(e3, e1) = all_0_27_27 % 22.28/5.75 | % 22.28/5.75 | From (424) and (154) follows: % 22.28/5.75 | (429) op(e1, e3) = e3 % 22.28/5.75 | % 22.28/5.75 | Instantiating formula (206) with e4, e2, all_0_36_36, e1 and discharging atoms op(e4, e2) = all_0_36_36, op(e4, e2) = e1, yields: % 22.28/5.75 | (430) all_0_36_36 = e1 % 22.28/5.75 | % 22.28/5.75 | Instantiating formula (206) with e4, e0, all_0_35_35, all_0_43_43 and discharging atoms op(e4, e0) = all_0_35_35, op(e4, e0) = all_0_43_43, yields: % 22.28/5.75 | (431) all_0_35_35 = all_0_43_43 % 22.28/5.75 | % 22.28/5.75 | Instantiating formula (206) with e3, e4, all_0_32_32, all_0_44_44 and discharging atoms op(e3, e4) = all_0_32_32, op(e3, e4) = all_0_44_44, yields: % 22.28/5.75 | (432) all_0_32_32 = all_0_44_44 % 22.28/5.75 | % 22.28/5.75 | Instantiating formula (206) with e3, e1, all_0_27_27, all_0_47_47 and discharging atoms op(e3, e1) = all_0_27_27, op(e3, e1) = all_0_47_47, yields: % 22.28/5.75 | (433) all_0_27_27 = all_0_47_47 % 22.28/5.75 | % 22.28/5.75 | Instantiating formula (206) with e3, e0, all_0_31_31, all_0_48_48 and discharging atoms op(e3, e0) = all_0_31_31, op(e3, e0) = all_0_48_48, yields: % 22.28/5.75 | (434) all_0_31_31 = all_0_48_48 % 22.28/5.75 | % 22.28/5.75 | Instantiating formula (206) with e2, e3, all_0_11_11, all_0_50_50 and discharging atoms op(e2, e3) = all_0_11_11, op(e2, e3) = all_0_50_50, yields: % 22.28/5.75 | (435) all_0_11_11 = all_0_50_50 % 22.28/5.75 | % 22.28/5.75 | Instantiating formula (206) with e2, e3, all_0_34_34, all_0_11_11 and discharging atoms op(e2, e3) = all_0_11_11, op(e2, e3) = all_0_34_34, yields: % 22.28/5.75 | (436) all_0_11_11 = all_0_34_34 % 22.28/5.75 | % 22.28/5.75 | Instantiating formula (206) with e2, e2, all_0_12_12, e3 and discharging atoms op(e2, e2) = all_0_12_12, op(e2, e2) = e3, yields: % 22.28/5.75 | (437) all_0_12_12 = e3 % 22.28/5.75 | % 22.28/5.75 | Instantiating formula (206) with e2, e2, all_0_21_21, all_0_12_12 and discharging atoms op(e2, e2) = all_0_12_12, op(e2, e2) = all_0_21_21, yields: % 22.28/5.75 | (438) all_0_12_12 = all_0_21_21 % 22.28/5.75 | % 22.28/5.75 | Instantiating formula (206) with e2, e1, all_0_29_29, all_0_22_22 and discharging atoms op(e2, e1) = all_0_22_22, op(e2, e1) = all_0_29_29, yields: % 22.28/5.75 | (439) all_0_22_22 = all_0_29_29 % 22.28/5.75 | % 22.28/5.75 | Instantiating formula (206) with e2, e1, e2, all_0_22_22 and discharging atoms op(e2, e1) = all_0_22_22, op(e2, e1) = e2, yields: % 22.28/5.75 | (440) all_0_22_22 = e2 % 22.28/5.75 | % 22.28/5.75 | Combining equations (436,435) yields a new equation: % 22.28/5.75 | (441) all_0_34_34 = all_0_50_50 % 22.28/5.75 | % 22.28/5.75 | Simplifying 441 yields: % 22.28/5.75 | (442) all_0_34_34 = all_0_50_50 % 22.28/5.75 | % 22.28/5.75 | Combining equations (437,438) yields a new equation: % 22.28/5.75 | (443) all_0_21_21 = e3 % 22.28/5.75 | % 22.28/5.75 | Combining equations (440,439) yields a new equation: % 22.28/5.75 | (444) all_0_29_29 = e2 % 22.28/5.75 | % 22.28/5.75 | From (430) and (416) follows: % 22.28/5.75 | (268) op(e4, e2) = e1 % 22.28/5.75 | % 22.28/5.75 | From (431) and (417) follows: % 22.28/5.75 | (34) op(e4, e0) = all_0_43_43 % 22.28/5.75 | % 22.28/5.75 | From (432) and (379) follows: % 22.28/5.75 | (124) op(e3, e4) = all_0_44_44 % 22.28/5.75 | % 22.28/5.75 | From (433) and (428) follows: % 22.28/5.75 | (158) op(e3, e1) = all_0_47_47 % 22.28/5.75 | % 22.28/5.75 | From (434) and (380) follows: % 22.28/5.75 | (202) op(e3, e0) = all_0_48_48 % 22.28/5.75 | % 22.28/5.75 | From (442) and (374) follows: % 22.28/5.75 | (207) op(e2, e3) = all_0_50_50 % 22.28/5.75 | % 22.28/5.75 | From (443) and (404) follows: % 22.28/5.75 | (72) op(e2, e2) = e3 % 22.28/5.75 | % 22.28/5.75 | From (444) and (388) follows: % 22.28/5.75 | (406) op(e2, e1) = e2 % 22.28/5.75 | % 22.28/5.75 +-Applying beta-rule and splitting (92), into two cases. % 22.28/5.75 |-Branch one: % 22.28/5.75 | (453) all_0_42_42 = e1 % 22.28/5.75 | % 22.28/5.75 | Equations (453) can reduce 256 to: % 22.28/5.75 | (298) $false % 22.28/5.75 | % 22.28/5.75 |-The branch is then unsatisfiable % 22.28/5.75 |-Branch two: % 22.28/5.75 | (256) ~ (all_0_42_42 = e1) % 22.28/5.75 | (456) all_0_42_42 = e3 | all_0_42_42 = e0 % 22.28/5.75 | % 22.28/5.75 +-Applying beta-rule and splitting (105), into two cases. % 22.28/5.75 |-Branch one: % 22.28/5.75 | (457) all_0_49_49 = e1 % 22.28/5.75 | % 22.28/5.75 | Equations (457) can reduce 329 to: % 22.28/5.75 | (298) $false % 22.28/5.75 | % 22.28/5.75 |-The branch is then unsatisfiable % 22.28/5.75 |-Branch two: % 22.28/5.75 | (329) ~ (all_0_49_49 = e1) % 22.28/5.75 | (460) all_0_49_49 = e4 | all_0_49_49 = e0 % 22.28/5.75 | % 22.28/5.75 +-Applying beta-rule and splitting (212), into two cases. % 22.28/5.75 |-Branch one: % 22.28/5.75 | (461) all_0_40_40 = e0 % 22.28/5.75 | % 22.28/5.75 | Equations (461) can reduce 204 to: % 22.28/5.75 | (462) ~ (all_0_42_42 = e0) % 22.28/5.75 | % 22.28/5.75 | Simplifying 462 yields: % 22.28/5.75 | (463) ~ (all_0_42_42 = e0) % 22.28/5.75 | % 22.28/5.75 | Equations (461) can reduce 238 to: % 22.28/5.75 | (464) ~ (all_0_43_43 = e0) % 22.28/5.75 | % 22.28/5.75 | Simplifying 464 yields: % 22.28/5.75 | (301) ~ (all_0_43_43 = e0) % 22.28/5.75 | % 22.28/5.75 +-Applying beta-rule and splitting (456), into two cases. % 22.28/5.75 |-Branch one: % 22.28/5.75 | (466) all_0_42_42 = e0 % 22.28/5.75 | % 22.28/5.75 | Equations (466) can reduce 463 to: % 22.28/5.75 | (298) $false % 22.28/5.75 | % 22.28/5.75 |-The branch is then unsatisfiable % 22.28/5.75 |-Branch two: % 22.28/5.75 | (463) ~ (all_0_42_42 = e0) % 22.28/5.75 | (469) all_0_42_42 = e3 % 22.28/5.75 | % 22.28/5.75 | Equations (469) can reduce 20 to: % 22.28/5.75 | (470) ~ (all_0_43_43 = e3) % 22.28/5.75 | % 22.28/5.75 | Simplifying 470 yields: % 22.28/5.75 | (471) ~ (all_0_43_43 = e3) % 22.28/5.75 | % 22.28/5.75 | Equations (469) can reduce 247 to: % 22.28/5.75 | (472) ~ (e4 = e3) % 22.28/5.75 | % 22.28/5.75 | Simplifying 472 yields: % 22.28/5.75 | (184) ~ (e4 = e3) % 22.28/5.75 | % 22.28/5.75 | From (469) and (2) follows: % 22.28/5.75 | (474) op(e4, e1) = e3 % 22.28/5.75 | % 22.28/5.75 +-Applying beta-rule and splitting (68), into two cases. % 22.28/5.75 |-Branch one: % 22.28/5.75 | (475) all_0_43_43 = e3 % 22.28/5.75 | % 22.28/5.75 | Equations (475) can reduce 471 to: % 22.28/5.75 | (298) $false % 22.28/5.75 | % 22.28/5.75 |-The branch is then unsatisfiable % 22.28/5.75 |-Branch two: % 22.28/5.75 | (471) ~ (all_0_43_43 = e3) % 22.28/5.75 | (478) all_0_48_48 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 22.28/5.75 | % 22.28/5.75 +-Applying beta-rule and splitting (125), into two cases. % 22.28/5.75 |-Branch one: % 22.28/5.75 | (479) all_0_40_40 = e4 % 22.28/5.75 | % 22.28/5.75 | Combining equations (479,461) yields a new equation: % 22.28/5.75 | (480) e4 = e0 % 22.28/5.75 | % 22.28/5.75 | Simplifying 480 yields: % 22.28/5.75 | (481) e4 = e0 % 22.28/5.75 | % 22.28/5.75 | Equations (481) can reduce 47 to: % 22.28/5.75 | (298) $false % 22.28/5.75 | % 22.28/5.75 |-The branch is then unsatisfiable % 22.28/5.75 |-Branch two: % 22.28/5.75 | (483) ~ (all_0_40_40 = e4) % 22.28/5.75 | (484) all_0_45_45 = e4 | all_0_50_50 = e4 | all_0_57_57 = e4 % 22.28/5.75 | % 22.28/5.75 | Equations (461) can reduce 483 to: % 22.28/5.75 | (485) ~ (e4 = e0) % 22.28/5.75 | % 22.28/5.75 | Simplifying 485 yields: % 22.28/5.75 | (47) ~ (e4 = e0) % 22.28/5.75 | % 22.28/5.75 +-Applying beta-rule and splitting (165), into two cases. % 22.28/5.75 |-Branch one: % 22.28/5.75 | (487) all_0_47_47 = e1 % 22.28/5.75 | % 22.28/5.75 | Equations (487) can reduce 343 to: % 22.28/5.75 | (298) $false % 22.28/5.75 | % 22.28/5.75 |-The branch is then unsatisfiable % 22.28/5.75 |-Branch two: % 22.28/5.75 | (343) ~ (all_0_47_47 = e1) % 22.28/5.75 | (490) all_0_47_47 = e3 | all_0_47_47 = e2 | all_0_47_47 = e0 % 22.28/5.75 | % 22.28/5.75 +-Applying beta-rule and splitting (478), into two cases. % 22.28/5.75 |-Branch one: % 22.28/5.75 | (491) all_0_48_48 = e3 % 22.28/5.75 | % 22.28/5.75 | Equations (491) can reduce 16 to: % 22.28/5.75 | (471) ~ (all_0_43_43 = e3) % 22.28/5.75 | % 22.28/5.75 | Equations (491) can reduce 224 to: % 22.28/5.75 | (493) ~ (all_0_47_47 = e3) % 22.28/5.75 | % 22.28/5.75 | From (491) and (202) follows: % 22.28/5.75 | (494) op(e3, e0) = e3 % 22.28/5.75 | % 22.28/5.75 +-Applying beta-rule and splitting (89), into two cases. % 22.28/5.75 |-Branch one: % 22.28/5.75 | (495) all_0_44_44 = e4 % 22.28/5.75 | % 22.28/5.75 | Equations (495) can reduce 205 to: % 22.28/5.75 | (496) ~ (all_0_49_49 = e4) % 22.28/5.75 | % 22.28/5.75 | Simplifying 496 yields: % 22.28/5.75 | (497) ~ (all_0_49_49 = e4) % 22.28/5.75 | % 22.28/5.75 | Equations (495) can reduce 273 to: % 22.28/5.75 | (115) ~ (e4 = e1) % 22.28/5.75 | % 22.28/5.75 | From (495) and (124) follows: % 22.28/5.75 | (499) op(e3, e4) = e4 % 22.28/5.75 | % 22.28/5.75 +-Applying beta-rule and splitting (54), into two cases. % 22.28/5.75 |-Branch one: % 22.28/5.75 | (500) all_0_44_44 = e0 % 22.28/5.75 | % 22.28/5.75 | Combining equations (500,495) yields a new equation: % 22.28/5.75 | (481) e4 = e0 % 22.28/5.75 | % 22.28/5.75 | Equations (481) can reduce 47 to: % 22.28/5.75 | (298) $false % 22.28/5.75 | % 22.28/5.75 |-The branch is then unsatisfiable % 22.28/5.75 |-Branch two: % 22.28/5.75 | (503) ~ (all_0_44_44 = e0) % 22.28/5.75 | (504) all_0_49_49 = e0 | all_0_56_56 = e0 % 22.28/5.75 | % 22.28/5.75 | Equations (495) can reduce 503 to: % 22.28/5.75 | (47) ~ (e4 = e0) % 22.28/5.75 | % 22.28/5.75 +-Applying beta-rule and splitting (226), into two cases. % 22.28/5.75 |-Branch one: % 22.28/5.75 | (506) all_0_49_49 = e4 % 22.28/5.75 | % 22.28/5.75 | Equations (506) can reduce 497 to: % 22.28/5.75 | (298) $false % 22.28/5.75 | % 22.28/5.75 |-The branch is then unsatisfiable % 22.28/5.75 |-Branch two: % 22.28/5.75 | (497) ~ (all_0_49_49 = e4) % 22.28/5.75 | (509) all_0_50_50 = e4 | all_0_52_52 = e4 % 22.28/5.75 | % 22.28/5.75 +-Applying beta-rule and splitting (216), into two cases. % 22.28/5.75 |-Branch one: % 22.28/5.75 | (479) all_0_40_40 = e4 % 22.28/5.75 | % 22.28/5.75 | Combining equations (479,461) yields a new equation: % 22.28/5.75 | (480) e4 = e0 % 22.28/5.75 | % 22.28/5.75 | Simplifying 480 yields: % 22.28/5.75 | (481) e4 = e0 % 22.28/5.75 | % 22.28/5.75 | Equations (481) can reduce 47 to: % 22.28/5.75 | (298) $false % 22.28/5.75 | % 22.28/5.75 |-The branch is then unsatisfiable % 22.28/5.75 |-Branch two: % 22.28/5.75 | (483) ~ (all_0_40_40 = e4) % 22.28/5.75 | (515) all_0_41_41 = e4 | all_0_43_43 = e4 % 22.28/5.75 | % 22.28/5.75 +-Applying beta-rule and splitting (167), into two cases. % 22.28/5.75 |-Branch one: % 22.28/5.75 | (310) all_0_43_43 = e1 % 22.28/5.75 | % 22.28/5.75 | Equations (310) can reduce 258 to: % 22.28/5.75 | (298) $false % 22.28/5.75 | % 22.28/5.75 |-The branch is then unsatisfiable % 22.28/5.75 |-Branch two: % 22.28/5.75 | (258) ~ (all_0_43_43 = e1) % 22.28/5.75 | (519) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e0 % 22.28/5.75 | % 22.28/5.75 +-Applying beta-rule and splitting (45), into two cases. % 22.28/5.75 |-Branch one: % 22.28/5.75 | (520) all_0_43_43 = e4 % 22.28/5.75 | % 22.28/5.75 | Equations (520) can reduce 258 to: % 22.28/5.75 | (115) ~ (e4 = e1) % 22.28/5.75 | % 22.28/5.75 | From (520) and (34) follows: % 22.28/5.75 | (522) op(e4, e0) = e4 % 22.28/5.75 | % 22.28/5.75 +-Applying beta-rule and splitting (509), into two cases. % 22.28/5.75 |-Branch one: % 22.28/5.75 | (523) all_0_50_50 = e4 % 22.28/5.76 | % 22.28/5.76 | From (523) and (207) follows: % 22.28/5.76 | (524) op(e2, e3) = e4 % 22.28/5.76 | % 22.28/5.76 +-Applying beta-rule and splitting (490), into two cases. % 22.28/5.76 |-Branch one: % 22.28/5.76 | (525) all_0_47_47 = e0 % 22.28/5.76 | % 22.28/5.76 | Equations (525) can reduce 343 to: % 22.28/5.76 | (526) ~ (e1 = e0) % 22.28/5.76 | % 22.28/5.76 | Simplifying 526 yields: % 22.28/5.76 | (231) ~ (e1 = e0) % 22.28/5.76 | % 22.28/5.76 | From (525) and (158) follows: % 22.28/5.76 | (528) op(e3, e1) = e0 % 22.28/5.76 | % 22.28/5.76 +-Applying beta-rule and splitting (55), into two cases. % 22.28/5.76 |-Branch one: % 22.28/5.76 | (529) unit = e1 % 22.28/5.76 | % 22.28/5.76 | From (529) and (243) follows: % 22.28/5.76 | (530) op(e4, e1) = e4 % 22.28/5.76 | % 22.28/5.76 | From (529) and (74) follows: % 22.28/5.76 | (531) op(e3, e1) = e3 % 22.28/5.76 | % 22.28/5.76 | From (529) and (221) follows: % 22.28/5.76 | (532) op(e1, e1) = e1 % 22.28/5.76 | % 22.28/5.76 | Instantiating formula (206) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 22.28/5.76 | (392) e4 = e3 % 22.28/5.76 | % 22.28/5.76 | Instantiating formula (206) with e3, e1, e3, e0 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e0, yields: % 22.28/5.76 | (534) e3 = e0 % 22.28/5.76 | % 22.28/5.76 | Instantiating formula (206) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 22.28/5.76 | (535) e4 = e1 % 22.28/5.76 | % 22.28/5.76 | Combining equations (535,392) yields a new equation: % 22.28/5.76 | (420) e3 = e1 % 22.28/5.76 | % 22.28/5.76 | Combining equations (420,534) yields a new equation: % 22.28/5.76 | (296) e1 = e0 % 22.28/5.76 | % 22.28/5.76 | Simplifying 296 yields: % 22.28/5.76 | (297) e1 = e0 % 22.28/5.76 | % 22.28/5.76 | Equations (297) can reduce 231 to: % 22.28/5.76 | (298) $false % 22.28/5.76 | % 22.28/5.76 |-The branch is then unsatisfiable % 22.28/5.76 |-Branch two: % 22.28/5.76 | (540) ~ (unit = e1) % 22.28/5.76 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 22.28/5.76 | % 22.28/5.76 +-Applying beta-rule and splitting (541), into two cases. % 22.28/5.76 |-Branch one: % 22.28/5.76 | (542) unit = e0 % 22.28/5.76 | % 22.28/5.76 | From (542) and (221) follows: % 22.28/5.76 | (543) op(e1, e0) = e1 % 22.28/5.76 | % 22.28/5.76 | Instantiating formula (206) with e1, e0, e1, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e1, yields: % 22.28/5.76 | (544) e2 = e1 % 22.28/5.76 | % 22.28/5.76 | Equations (544) can reduce 134 to: % 22.28/5.76 | (298) $false % 22.28/5.76 | % 22.28/5.76 |-The branch is then unsatisfiable % 22.28/5.76 |-Branch two: % 22.28/5.76 | (546) ~ (unit = e0) % 22.28/5.76 | (547) unit = e4 | unit = e3 | unit = e2 % 22.28/5.76 | % 22.28/5.76 +-Applying beta-rule and splitting (547), into two cases. % 22.28/5.76 |-Branch one: % 22.28/5.76 | (548) unit = e3 % 22.28/5.76 | % 22.28/5.76 | From (548) and (60) follows: % 22.28/5.76 | (549) op(e3, e0) = e0 % 22.28/5.76 | % 22.28/5.76 | From (548) and (221) follows: % 22.28/5.76 | (550) op(e1, e3) = e1 % 22.28/5.76 | % 22.28/5.76 | Instantiating formula (206) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 22.28/5.76 | (534) e3 = e0 % 22.28/5.76 | % 22.28/5.76 | Instantiating formula (206) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 22.28/5.76 | (420) e3 = e1 % 22.28/5.76 | % 22.28/5.76 | Combining equations (534,420) yields a new equation: % 22.28/5.76 | (297) e1 = e0 % 22.28/5.76 | % 22.28/5.76 | Equations (297) can reduce 231 to: % 22.28/5.76 | (298) $false % 22.28/5.76 | % 22.28/5.76 |-The branch is then unsatisfiable % 22.28/5.76 |-Branch two: % 22.28/5.76 | (555) ~ (unit = e3) % 22.28/5.76 | (556) unit = e4 | unit = e2 % 22.28/5.76 | % 22.28/5.76 +-Applying beta-rule and splitting (556), into two cases. % 22.28/5.76 |-Branch one: % 22.28/5.76 | (557) unit = e4 % 22.28/5.76 | % 22.28/5.76 | From (557) and (24) follows: % 22.28/5.76 | (558) op(e4, e2) = e2 % 22.28/5.76 | % 22.28/5.76 | From (557) and (60) follows: % 22.28/5.76 | (559) op(e4, e0) = e0 % 22.28/5.76 | % 22.28/5.76 | From (557) and (243) follows: % 22.28/5.76 | (560) op(e4, e4) = e4 % 22.28/5.76 | % 22.28/5.76 | From (557) and (74) follows: % 22.28/5.76 | (561) op(e3, e4) = e3 % 22.28/5.76 | % 22.28/5.76 | Instantiating formula (206) with e4, e4, e4, e2 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e2, yields: % 22.28/5.76 | (409) e4 = e2 % 22.28/5.76 | % 22.28/5.76 | Instantiating formula (206) with e4, e2, e2, e1 and discharging atoms op(e4, e2) = e2, op(e4, e2) = e1, yields: % 22.28/5.76 | (544) e2 = e1 % 22.28/5.76 | % 22.28/5.76 | Instantiating formula (206) with e4, e0, e0, e4 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 22.28/5.76 | (481) e4 = e0 % 22.28/5.76 | % 22.28/5.76 | Instantiating formula (206) with e3, e4, e3, e4 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e3, yields: % 22.28/5.76 | (392) e4 = e3 % 22.28/5.76 | % 22.28/5.76 | Combining equations (481,392) yields a new equation: % 22.28/5.76 | (534) e3 = e0 % 22.28/5.76 | % 22.28/5.76 | Combining equations (409,392) yields a new equation: % 22.28/5.76 | (567) e3 = e2 % 22.28/5.76 | % 22.28/5.76 | Combining equations (567,534) yields a new equation: % 22.28/5.76 | (568) e2 = e0 % 22.28/5.76 | % 22.28/5.76 | Simplifying 568 yields: % 22.28/5.76 | (569) e2 = e0 % 22.28/5.76 | % 22.28/5.76 | Combining equations (544,569) yields a new equation: % 22.28/5.76 | (296) e1 = e0 % 22.28/5.76 | % 22.28/5.76 | Simplifying 296 yields: % 22.28/5.76 | (297) e1 = e0 % 22.28/5.76 | % 22.28/5.76 | Equations (297) can reduce 231 to: % 22.28/5.76 | (298) $false % 22.28/5.76 | % 22.28/5.76 |-The branch is then unsatisfiable % 22.28/5.76 |-Branch two: % 22.28/5.76 | (573) ~ (unit = e4) % 22.28/5.76 | (574) unit = e2 % 22.28/5.76 | % 22.28/5.76 | From (574) and (143) follows: % 22.28/5.76 | (575) op(e2, e3) = e3 % 22.28/5.76 | % 22.28/5.76 | From (574) and (243) follows: % 22.28/5.76 | (576) op(e4, e2) = e4 % 22.28/5.76 | % 22.28/5.76 | From (574) and (66) follows: % 22.28/5.76 | (577) op(e2, e2) = e2 % 22.28/5.76 | % 22.28/5.76 | From (574) and (67) follows: % 22.28/5.76 | (578) op(e0, e2) = e0 % 22.28/5.76 | % 22.28/5.76 | Instantiating formula (206) with e4, e2, e4, e1 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e1, yields: % 22.28/5.76 | (535) e4 = e1 % 22.28/5.76 | % 22.28/5.76 | Instantiating formula (206) with e2, e3, e3, e4 and discharging atoms op(e2, e3) = e4, op(e2, e3) = e3, yields: % 22.28/5.76 | (392) e4 = e3 % 22.28/5.76 | % 22.28/5.76 | Instantiating formula (206) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 22.28/5.76 | (567) e3 = e2 % 22.28/5.76 | % 22.28/5.76 | Instantiating formula (206) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields: % 22.28/5.76 | (481) e4 = e0 % 22.28/5.76 | % 22.28/5.76 | Combining equations (535,392) yields a new equation: % 22.28/5.76 | (420) e3 = e1 % 22.28/5.76 | % 22.28/5.76 | Combining equations (481,392) yields a new equation: % 22.28/5.76 | (534) e3 = e0 % 22.28/5.76 | % 22.28/5.76 | Combining equations (534,567) yields a new equation: % 22.28/5.76 | (569) e2 = e0 % 22.28/5.76 | % 22.28/5.76 | Combining equations (420,567) yields a new equation: % 22.28/5.76 | (544) e2 = e1 % 22.28/5.76 | % 22.28/5.76 | Combining equations (569,544) yields a new equation: % 22.28/5.76 | (297) e1 = e0 % 22.28/5.76 | % 22.28/5.76 | Equations (297) can reduce 231 to: % 22.28/5.76 | (298) $false % 22.28/5.76 | % 22.28/5.76 |-The branch is then unsatisfiable % 22.28/5.76 |-Branch two: % 22.28/5.76 | (589) ~ (all_0_47_47 = e0) % 22.28/5.76 | (590) all_0_47_47 = e3 | all_0_47_47 = e2 % 22.28/5.76 | % 22.28/5.76 +-Applying beta-rule and splitting (590), into two cases. % 22.28/5.76 |-Branch one: % 22.28/5.76 | (591) all_0_47_47 = e3 % 22.28/5.76 | % 22.28/5.76 | Equations (591) can reduce 493 to: % 22.28/5.76 | (298) $false % 22.28/5.76 | % 22.28/5.76 |-The branch is then unsatisfiable % 22.28/5.76 |-Branch two: % 22.28/5.76 | (493) ~ (all_0_47_47 = e3) % 22.28/5.76 | (368) all_0_47_47 = e2 % 22.28/5.76 | % 22.28/5.76 | Equations (368) can reduce 361 to: % 22.28/5.76 | (298) $false % 22.28/5.76 | % 22.28/5.76 |-The branch is then unsatisfiable % 22.28/5.76 |-Branch two: % 22.28/5.76 | (596) ~ (all_0_50_50 = e4) % 22.28/5.76 | (597) all_0_52_52 = e4 % 22.28/5.76 | % 22.28/5.76 | Combining equations (597,326) yields a new equation: % 22.28/5.76 | (598) e4 = e1 % 22.28/5.76 | % 22.28/5.76 | Simplifying 598 yields: % 22.28/5.76 | (535) e4 = e1 % 22.28/5.76 | % 22.28/5.76 | Equations (535) can reduce 115 to: % 22.28/5.76 | (298) $false % 22.28/5.76 | % 22.28/5.76 |-The branch is then unsatisfiable % 22.28/5.76 |-Branch two: % 22.28/5.76 | (601) ~ (all_0_43_43 = e4) % 22.28/5.76 | (602) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_60_60 = e4 % 22.28/5.76 | % 22.28/5.76 +-Applying beta-rule and splitting (515), into two cases. % 22.28/5.76 |-Branch one: % 22.28/5.76 | (603) all_0_41_41 = e4 % 22.28/5.76 | % 22.28/5.76 | Combining equations (603,253) yields a new equation: % 22.28/5.76 | (598) e4 = e1 % 22.28/5.76 | % 22.28/5.76 | Simplifying 598 yields: % 22.28/5.76 | (535) e4 = e1 % 22.28/5.76 | % 22.28/5.76 | Equations (535) can reduce 115 to: % 22.28/5.76 | (298) $false % 22.28/5.76 | % 22.28/5.76 |-The branch is then unsatisfiable % 22.28/5.76 |-Branch two: % 22.28/5.76 | (607) ~ (all_0_41_41 = e4) % 22.28/5.76 | (520) all_0_43_43 = e4 % 22.28/5.76 | % 22.28/5.76 | Equations (520) can reduce 601 to: % 22.28/5.76 | (298) $false % 22.28/5.76 | % 22.28/5.76 |-The branch is then unsatisfiable % 22.28/5.76 |-Branch two: % 22.28/5.76 | (610) ~ (all_0_44_44 = e4) % 22.28/5.76 | (611) all_0_45_45 = e4 | all_0_46_46 = e4 | all_0_48_48 = e4 % 22.28/5.76 | % 22.28/5.76 +-Applying beta-rule and splitting (63), into two cases. % 22.28/5.76 |-Branch one: % 22.28/5.76 | (495) all_0_44_44 = e4 % 22.28/5.76 | % 22.28/5.76 | Equations (495) can reduce 610 to: % 22.28/5.76 | (298) $false % 22.28/5.76 | % 22.28/5.76 |-The branch is then unsatisfiable % 22.28/5.76 |-Branch two: % 22.28/5.76 | (610) ~ (all_0_44_44 = e4) % 22.28/5.76 | (615) all_0_49_49 = e4 | all_0_56_56 = e4 % 22.28/5.76 | % 22.28/5.76 +-Applying beta-rule and splitting (490), into two cases. % 22.28/5.76 |-Branch one: % 22.28/5.76 | (525) all_0_47_47 = e0 % 22.28/5.76 | % 22.28/5.76 | Equations (525) can reduce 98 to: % 22.28/5.76 | (503) ~ (all_0_44_44 = e0) % 22.28/5.76 | % 22.28/5.76 | Equations (525) can reduce 76 to: % 22.28/5.76 | (485) ~ (e4 = e0) % 22.28/5.76 | % 22.28/5.76 | Simplifying 485 yields: % 22.28/5.76 | (47) ~ (e4 = e0) % 22.28/5.76 | % 22.28/5.76 | Equations (525) can reduce 493 to: % 22.28/5.76 | (620) ~ (e3 = e0) % 22.28/5.76 | % 22.28/5.76 | Simplifying 620 yields: % 22.28/5.76 | (84) ~ (e3 = e0) % 22.28/5.76 | % 22.28/5.76 +-Applying beta-rule and splitting (54), into two cases. % 22.28/5.76 |-Branch one: % 22.28/5.76 | (500) all_0_44_44 = e0 % 22.28/5.76 | % 22.28/5.76 | Equations (500) can reduce 503 to: % 22.28/5.76 | (298) $false % 22.28/5.76 | % 22.28/5.76 |-The branch is then unsatisfiable % 22.28/5.76 |-Branch two: % 22.28/5.76 | (503) ~ (all_0_44_44 = e0) % 22.28/5.76 | (504) all_0_49_49 = e0 | all_0_56_56 = e0 % 22.28/5.76 | % 22.28/5.76 +-Applying beta-rule and splitting (216), into two cases. % 22.28/5.76 |-Branch one: % 22.28/5.76 | (479) all_0_40_40 = e4 % 22.28/5.76 | % 22.28/5.76 | Combining equations (479,461) yields a new equation: % 22.28/5.76 | (480) e4 = e0 % 22.28/5.76 | % 22.28/5.76 | Simplifying 480 yields: % 22.28/5.76 | (481) e4 = e0 % 22.28/5.76 | % 22.28/5.76 | Equations (481) can reduce 47 to: % 22.28/5.76 | (298) $false % 22.28/5.76 | % 22.28/5.76 |-The branch is then unsatisfiable % 22.28/5.76 |-Branch two: % 22.28/5.76 | (483) ~ (all_0_40_40 = e4) % 22.28/5.76 | (515) all_0_41_41 = e4 | all_0_43_43 = e4 % 22.38/5.76 | % 22.38/5.76 | Equations (461) can reduce 483 to: % 22.38/5.76 | (485) ~ (e4 = e0) % 22.38/5.76 | % 22.38/5.76 | Simplifying 485 yields: % 22.38/5.76 | (47) ~ (e4 = e0) % 22.38/5.76 | % 22.38/5.76 +-Applying beta-rule and splitting (45), into two cases. % 22.38/5.76 |-Branch one: % 22.38/5.76 | (520) all_0_43_43 = e4 % 22.38/5.76 | % 22.38/5.76 | Equations (520) can reduce 471 to: % 22.38/5.76 | (184) ~ (e4 = e3) % 22.38/5.76 | % 22.38/5.76 | Equations (520) can reduce 301 to: % 22.38/5.76 | (47) ~ (e4 = e0) % 22.38/5.76 | % 22.38/5.76 +-Applying beta-rule and splitting (504), into two cases. % 22.38/5.76 |-Branch one: % 22.38/5.76 | (637) all_0_49_49 = e0 % 22.38/5.76 | % 22.38/5.76 +-Applying beta-rule and splitting (226), into two cases. % 22.38/5.76 |-Branch one: % 22.38/5.76 | (506) all_0_49_49 = e4 % 22.38/5.76 | % 22.38/5.76 | Combining equations (637,506) yields a new equation: % 22.38/5.76 | (481) e4 = e0 % 22.38/5.76 | % 22.38/5.76 | Equations (481) can reduce 47 to: % 22.38/5.76 | (298) $false % 22.38/5.76 | % 22.38/5.76 |-The branch is then unsatisfiable % 22.38/5.76 |-Branch two: % 22.38/5.76 | (497) ~ (all_0_49_49 = e4) % 22.38/5.76 | (509) all_0_50_50 = e4 | all_0_52_52 = e4 % 22.38/5.76 | % 22.38/5.77 | Equations (637) can reduce 497 to: % 22.38/5.77 | (485) ~ (e4 = e0) % 22.38/5.77 | % 22.38/5.77 | Simplifying 485 yields: % 22.38/5.77 | (47) ~ (e4 = e0) % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (615), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (506) all_0_49_49 = e4 % 22.38/5.77 | % 22.38/5.77 | Combining equations (637,506) yields a new equation: % 22.38/5.77 | (481) e4 = e0 % 22.38/5.77 | % 22.38/5.77 | Equations (481) can reduce 47 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (497) ~ (all_0_49_49 = e4) % 22.38/5.77 | (390) all_0_56_56 = e4 % 22.38/5.77 | % 22.38/5.77 | Combining equations (376,390) yields a new equation: % 22.38/5.77 | (392) e4 = e3 % 22.38/5.77 | % 22.38/5.77 | Equations (392) can reduce 184 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (652) ~ (all_0_49_49 = e0) % 22.38/5.77 | (653) all_0_56_56 = e0 % 22.38/5.77 | % 22.38/5.77 | Combining equations (376,653) yields a new equation: % 22.38/5.77 | (654) e3 = e0 % 22.38/5.77 | % 22.38/5.77 | Simplifying 654 yields: % 22.38/5.77 | (534) e3 = e0 % 22.38/5.77 | % 22.38/5.77 | Equations (534) can reduce 84 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (601) ~ (all_0_43_43 = e4) % 22.38/5.77 | (602) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_60_60 = e4 % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (129), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (637) all_0_49_49 = e0 % 22.38/5.77 | % 22.38/5.77 | Equations (637) can reduce 189 to: % 22.38/5.77 | (660) ~ (all_0_50_50 = e0) % 22.38/5.77 | % 22.38/5.77 | Simplifying 660 yields: % 22.38/5.77 | (661) ~ (all_0_50_50 = e0) % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (226), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (506) all_0_49_49 = e4 % 22.38/5.77 | % 22.38/5.77 | Combining equations (637,506) yields a new equation: % 22.38/5.77 | (481) e4 = e0 % 22.38/5.77 | % 22.38/5.77 | Equations (481) can reduce 47 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (497) ~ (all_0_49_49 = e4) % 22.38/5.77 | (509) all_0_50_50 = e4 | all_0_52_52 = e4 % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (509), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (523) all_0_50_50 = e4 % 22.38/5.77 | % 22.38/5.77 | Equations (523) can reduce 252 to: % 22.38/5.77 | (184) ~ (e4 = e3) % 22.38/5.77 | % 22.38/5.77 | Equations (523) can reduce 661 to: % 22.38/5.77 | (47) ~ (e4 = e0) % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (615), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (506) all_0_49_49 = e4 % 22.38/5.77 | % 22.38/5.77 | Combining equations (637,506) yields a new equation: % 22.38/5.77 | (481) e4 = e0 % 22.38/5.77 | % 22.38/5.77 | Equations (481) can reduce 47 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (497) ~ (all_0_49_49 = e4) % 22.38/5.77 | (390) all_0_56_56 = e4 % 22.38/5.77 | % 22.38/5.77 | Combining equations (376,390) yields a new equation: % 22.38/5.77 | (392) e4 = e3 % 22.38/5.77 | % 22.38/5.77 | Equations (392) can reduce 184 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (596) ~ (all_0_50_50 = e4) % 22.38/5.77 | (597) all_0_52_52 = e4 % 22.38/5.77 | % 22.38/5.77 | Combining equations (326,597) yields a new equation: % 22.38/5.77 | (535) e4 = e1 % 22.38/5.77 | % 22.38/5.77 | Equations (535) can reduce 115 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (652) ~ (all_0_49_49 = e0) % 22.38/5.77 | (682) all_0_50_50 = e0 | all_0_51_51 = e0 | all_0_52_52 = e0 % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (615), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (506) all_0_49_49 = e4 % 22.38/5.77 | % 22.38/5.77 | Equations (506) can reduce 111 to: % 22.38/5.77 | (184) ~ (e4 = e3) % 22.38/5.77 | % 22.38/5.77 | Equations (506) can reduce 329 to: % 22.38/5.77 | (115) ~ (e4 = e1) % 22.38/5.77 | % 22.38/5.77 | Equations (506) can reduce 652 to: % 22.38/5.77 | (47) ~ (e4 = e0) % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (602), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (687) all_0_48_48 = e4 % 22.38/5.77 | % 22.38/5.77 | Combining equations (491,687) yields a new equation: % 22.38/5.77 | (392) e4 = e3 % 22.38/5.77 | % 22.38/5.77 | Equations (392) can reduce 184 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (690) ~ (all_0_48_48 = e4) % 22.38/5.77 | (691) all_0_52_52 = e4 | all_0_60_60 = e4 % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (691), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (597) all_0_52_52 = e4 % 22.38/5.77 | % 22.38/5.77 | Combining equations (326,597) yields a new equation: % 22.38/5.77 | (535) e4 = e1 % 22.38/5.77 | % 22.38/5.77 | Equations (535) can reduce 115 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (695) ~ (all_0_52_52 = e4) % 22.38/5.77 | (696) all_0_60_60 = e4 % 22.38/5.77 | % 22.38/5.77 | Combining equations (696,300) yields a new equation: % 22.38/5.77 | (480) e4 = e0 % 22.38/5.77 | % 22.38/5.77 | Simplifying 480 yields: % 22.38/5.77 | (481) e4 = e0 % 22.38/5.77 | % 22.38/5.77 | Equations (481) can reduce 47 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (497) ~ (all_0_49_49 = e4) % 22.38/5.77 | (390) all_0_56_56 = e4 % 22.38/5.77 | % 22.38/5.77 | Combining equations (376,390) yields a new equation: % 22.38/5.77 | (392) e4 = e3 % 22.38/5.77 | % 22.38/5.77 | Equations (392) can reduce 184 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (589) ~ (all_0_47_47 = e0) % 22.38/5.77 | (590) all_0_47_47 = e3 | all_0_47_47 = e2 % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (590), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (591) all_0_47_47 = e3 % 22.38/5.77 | % 22.38/5.77 | Equations (591) can reduce 493 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (493) ~ (all_0_47_47 = e3) % 22.38/5.77 | (368) all_0_47_47 = e2 % 22.38/5.77 | % 22.38/5.77 | Equations (368) can reduce 361 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (711) ~ (all_0_48_48 = e3) % 22.38/5.77 | (712) all_0_55_55 = e3 | all_0_60_60 = e3 % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (8), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (318) all_0_48_48 = e1 % 22.38/5.77 | % 22.38/5.77 | Equations (318) can reduce 290 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (290) ~ (all_0_48_48 = e1) % 22.38/5.77 | (716) all_0_48_48 = e4 | all_0_48_48 = e3 | all_0_48_48 = e2 | all_0_48_48 = e0 % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (716), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (717) all_0_48_48 = e0 % 22.38/5.77 | % 22.38/5.77 | Equations (717) can reduce 303 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (303) ~ (all_0_48_48 = e0) % 22.38/5.77 | (720) all_0_48_48 = e4 | all_0_48_48 = e3 | all_0_48_48 = e2 % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (720), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (491) all_0_48_48 = e3 % 22.38/5.77 | % 22.38/5.77 | Equations (491) can reduce 711 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (711) ~ (all_0_48_48 = e3) % 22.38/5.77 | (724) all_0_48_48 = e4 | all_0_48_48 = e2 % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (724), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (687) all_0_48_48 = e4 % 22.38/5.77 | % 22.38/5.77 | Equations (687) can reduce 16 to: % 22.38/5.77 | (601) ~ (all_0_43_43 = e4) % 22.38/5.77 | % 22.38/5.77 | Equations (687) can reduce 290 to: % 22.38/5.77 | (115) ~ (e4 = e1) % 22.38/5.77 | % 22.38/5.77 | Equations (687) can reduce 303 to: % 22.38/5.77 | (47) ~ (e4 = e0) % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (216), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (479) all_0_40_40 = e4 % 22.38/5.77 | % 22.38/5.77 | Combining equations (479,461) yields a new equation: % 22.38/5.77 | (480) e4 = e0 % 22.38/5.77 | % 22.38/5.77 | Simplifying 480 yields: % 22.38/5.77 | (481) e4 = e0 % 22.38/5.77 | % 22.38/5.77 | Equations (481) can reduce 47 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (483) ~ (all_0_40_40 = e4) % 22.38/5.77 | (515) all_0_41_41 = e4 | all_0_43_43 = e4 % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (515), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (603) all_0_41_41 = e4 % 22.38/5.77 | % 22.38/5.77 | Combining equations (603,253) yields a new equation: % 22.38/5.77 | (598) e4 = e1 % 22.38/5.77 | % 22.38/5.77 | Simplifying 598 yields: % 22.38/5.77 | (535) e4 = e1 % 22.38/5.77 | % 22.38/5.77 | Equations (535) can reduce 115 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (607) ~ (all_0_41_41 = e4) % 22.38/5.77 | (520) all_0_43_43 = e4 % 22.38/5.77 | % 22.38/5.77 | Equations (520) can reduce 601 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (690) ~ (all_0_48_48 = e4) % 22.38/5.77 | (743) all_0_48_48 = e2 % 22.38/5.77 | % 22.38/5.77 | Equations (743) can reduce 363 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (745) ~ (all_0_40_40 = e0) % 22.38/5.77 | (746) all_0_42_42 = e0 | all_0_43_43 = e0 % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (109), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (747) all_0_40_40 = e1 % 22.38/5.77 | % 22.38/5.77 | Equations (747) can reduce 254 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (254) ~ (all_0_40_40 = e1) % 22.38/5.77 | (750) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e0 % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (750), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (461) all_0_40_40 = e0 % 22.38/5.77 | % 22.38/5.77 | Equations (461) can reduce 745 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (745) ~ (all_0_40_40 = e0) % 22.38/5.77 | (754) all_0_40_40 = e4 | all_0_40_40 = e3 % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (754), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (755) all_0_40_40 = e3 % 22.38/5.77 | % 22.38/5.77 | Equations (755) can reduce 425 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (425) ~ (all_0_40_40 = e3) % 22.38/5.77 | (479) all_0_40_40 = e4 % 22.38/5.77 | % 22.38/5.77 | Equations (479) can reduce 75 to: % 22.38/5.77 | (759) ~ (all_0_50_50 = e4) % 22.38/5.77 | % 22.38/5.77 | Simplifying 759 yields: % 22.38/5.77 | (596) ~ (all_0_50_50 = e4) % 22.38/5.77 | % 22.38/5.77 | Equations (479) can reduce 254 to: % 22.38/5.77 | (115) ~ (e4 = e1) % 22.38/5.77 | % 22.38/5.77 | Equations (479) can reduce 745 to: % 22.38/5.77 | (47) ~ (e4 = e0) % 22.38/5.77 | % 22.38/5.77 | From (479) and (233) follows: % 22.38/5.77 | (763) op(e4, e3) = e4 % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (226), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (506) all_0_49_49 = e4 % 22.38/5.77 | % 22.38/5.77 | Equations (506) can reduce 189 to: % 22.38/5.77 | (759) ~ (all_0_50_50 = e4) % 22.38/5.77 | % 22.38/5.77 | Simplifying 759 yields: % 22.38/5.77 | (596) ~ (all_0_50_50 = e4) % 22.38/5.77 | % 22.38/5.77 | From (506) and (110) follows: % 22.38/5.77 | (767) op(e2, e4) = e4 % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (54), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (500) all_0_44_44 = e0 % 22.38/5.77 | % 22.38/5.77 | Equations (500) can reduce 98 to: % 22.38/5.77 | (769) ~ (all_0_47_47 = e0) % 22.38/5.77 | % 22.38/5.77 | Simplifying 769 yields: % 22.38/5.77 | (589) ~ (all_0_47_47 = e0) % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (160), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (771) all_0_50_50 = e1 % 22.38/5.77 | % 22.38/5.77 | Equations (771) can reduce 330 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (330) ~ (all_0_50_50 = e1) % 22.38/5.77 | (774) all_0_50_50 = e4 | all_0_50_50 = e2 | all_0_50_50 = e0 % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (165), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (487) all_0_47_47 = e1 % 22.38/5.77 | % 22.38/5.77 | Equations (487) can reduce 343 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (343) ~ (all_0_47_47 = e1) % 22.38/5.77 | (490) all_0_47_47 = e3 | all_0_47_47 = e2 | all_0_47_47 = e0 % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (101), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (466) all_0_42_42 = e0 % 22.38/5.77 | % 22.38/5.77 | From (466) and (2) follows: % 22.38/5.77 | (780) op(e4, e1) = e0 % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (774), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (781) all_0_50_50 = e0 % 22.38/5.77 | % 22.38/5.77 | Equations (781) can reduce 398 to: % 22.38/5.77 | (782) ~ (e2 = e0) % 22.38/5.77 | % 22.38/5.77 | Simplifying 782 yields: % 22.38/5.77 | (139) ~ (e2 = e0) % 22.38/5.77 | % 22.38/5.77 | Equations (781) can reduce 330 to: % 22.38/5.77 | (526) ~ (e1 = e0) % 22.38/5.77 | % 22.38/5.77 | Simplifying 526 yields: % 22.38/5.77 | (231) ~ (e1 = e0) % 22.38/5.77 | % 22.38/5.77 | From (781) and (207) follows: % 22.38/5.77 | (786) op(e2, e3) = e0 % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (55), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (529) unit = e1 % 22.38/5.77 | % 22.38/5.77 | From (529) and (243) follows: % 22.38/5.77 | (530) op(e4, e1) = e4 % 22.38/5.77 | % 22.38/5.77 | From (529) and (221) follows: % 22.38/5.77 | (532) op(e1, e1) = e1 % 22.38/5.77 | % 22.38/5.77 | Instantiating formula (206) with e4, e1, e4, e0 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e0, yields: % 22.38/5.77 | (481) e4 = e0 % 22.38/5.77 | % 22.38/5.77 | Instantiating formula (206) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 22.38/5.77 | (535) e4 = e1 % 22.38/5.77 | % 22.38/5.77 | Combining equations (481,535) yields a new equation: % 22.38/5.77 | (297) e1 = e0 % 22.38/5.77 | % 22.38/5.77 | Equations (297) can reduce 231 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (540) ~ (unit = e1) % 22.38/5.77 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (541), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.77 | (542) unit = e0 % 22.38/5.77 | % 22.38/5.77 | From (542) and (221) follows: % 22.38/5.77 | (543) op(e1, e0) = e1 % 22.38/5.77 | % 22.38/5.77 | Instantiating formula (206) with e1, e0, e1, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e1, yields: % 22.38/5.77 | (544) e2 = e1 % 22.38/5.77 | % 22.38/5.77 | Equations (544) can reduce 134 to: % 22.38/5.77 | (298) $false % 22.38/5.77 | % 22.38/5.77 |-The branch is then unsatisfiable % 22.38/5.77 |-Branch two: % 22.38/5.77 | (546) ~ (unit = e0) % 22.38/5.77 | (547) unit = e4 | unit = e3 | unit = e2 % 22.38/5.77 | % 22.38/5.77 +-Applying beta-rule and splitting (547), into two cases. % 22.38/5.77 |-Branch one: % 22.38/5.78 | (548) unit = e3 % 22.38/5.78 | % 22.38/5.78 | From (548) and (67) follows: % 22.38/5.78 | (803) op(e0, e3) = e0 % 22.38/5.78 | % 22.38/5.78 | Instantiating formula (206) with e0, e3, e0, e2 and discharging atoms op(e0, e3) = e2, op(e0, e3) = e0, yields: % 22.38/5.78 | (569) e2 = e0 % 22.38/5.78 | % 22.38/5.78 | Equations (569) can reduce 139 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (555) ~ (unit = e3) % 22.38/5.78 | (556) unit = e4 | unit = e2 % 22.38/5.78 | % 22.38/5.78 +-Applying beta-rule and splitting (556), into two cases. % 22.38/5.78 |-Branch one: % 22.38/5.78 | (557) unit = e4 % 22.38/5.78 | % 22.38/5.78 | From (557) and (143) follows: % 22.38/5.78 | (809) op(e4, e3) = e3 % 22.38/5.78 | % 22.38/5.78 | From (557) and (24) follows: % 22.38/5.78 | (558) op(e4, e2) = e2 % 22.38/5.78 | % 22.38/5.78 | From (557) and (66) follows: % 22.38/5.78 | (811) op(e2, e4) = e2 % 22.38/5.78 | % 22.38/5.78 | From (557) and (67) follows: % 22.38/5.78 | (812) op(e0, e4) = e0 % 22.38/5.78 | % 22.38/5.78 | Instantiating formula (206) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 22.38/5.78 | (392) e4 = e3 % 22.38/5.78 | % 22.38/5.78 | Instantiating formula (206) with e4, e2, e2, e1 and discharging atoms op(e4, e2) = e2, op(e4, e2) = e1, yields: % 22.38/5.78 | (544) e2 = e1 % 22.38/5.78 | % 22.38/5.78 | Instantiating formula (206) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 22.38/5.78 | (409) e4 = e2 % 22.38/5.78 | % 22.38/5.78 | Instantiating formula (206) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 22.38/5.78 | (534) e3 = e0 % 22.38/5.78 | % 22.38/5.78 | Combining equations (409,392) yields a new equation: % 22.38/5.78 | (567) e3 = e2 % 22.38/5.78 | % 22.38/5.78 | Combining equations (567,534) yields a new equation: % 22.38/5.78 | (568) e2 = e0 % 22.38/5.78 | % 22.38/5.78 | Simplifying 568 yields: % 22.38/5.78 | (569) e2 = e0 % 22.38/5.78 | % 22.38/5.78 | Combining equations (569,544) yields a new equation: % 22.38/5.78 | (297) e1 = e0 % 22.38/5.78 | % 22.38/5.78 | Equations (297) can reduce 231 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (573) ~ (unit = e4) % 22.38/5.78 | (574) unit = e2 % 22.38/5.78 | % 22.38/5.78 | From (574) and (143) follows: % 22.38/5.78 | (575) op(e2, e3) = e3 % 22.38/5.78 | % 22.38/5.78 | From (574) and (100) follows: % 22.38/5.78 | (825) op(e2, e1) = e1 % 22.38/5.78 | % 22.38/5.78 | From (574) and (66) follows: % 22.38/5.78 | (577) op(e2, e2) = e2 % 22.38/5.78 | % 22.38/5.78 | Instantiating formula (206) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields: % 22.38/5.78 | (534) e3 = e0 % 22.38/5.78 | % 22.38/5.78 | Instantiating formula (206) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 22.38/5.78 | (567) e3 = e2 % 22.38/5.78 | % 22.38/5.78 | Instantiating formula (206) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 22.38/5.78 | (544) e2 = e1 % 22.38/5.78 | % 22.38/5.78 | Combining equations (534,567) yields a new equation: % 22.38/5.78 | (569) e2 = e0 % 22.38/5.78 | % 22.38/5.78 | Combining equations (569,544) yields a new equation: % 22.38/5.78 | (297) e1 = e0 % 22.38/5.78 | % 22.38/5.78 | Equations (297) can reduce 231 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (661) ~ (all_0_50_50 = e0) % 22.38/5.78 | (834) all_0_50_50 = e4 | all_0_50_50 = e2 % 22.38/5.78 | % 22.38/5.78 +-Applying beta-rule and splitting (834), into two cases. % 22.38/5.78 |-Branch one: % 22.38/5.78 | (523) all_0_50_50 = e4 % 22.38/5.78 | % 22.38/5.78 | Equations (523) can reduce 596 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (596) ~ (all_0_50_50 = e4) % 22.38/5.78 | (838) all_0_50_50 = e2 % 22.38/5.78 | % 22.38/5.78 | Equations (838) can reduce 398 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (463) ~ (all_0_42_42 = e0) % 22.38/5.78 | (841) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_59_59 = e0 % 22.38/5.78 | % 22.38/5.78 +-Applying beta-rule and splitting (490), into two cases. % 22.38/5.78 |-Branch one: % 22.38/5.78 | (525) all_0_47_47 = e0 % 22.38/5.78 | % 22.38/5.78 | Equations (525) can reduce 589 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (589) ~ (all_0_47_47 = e0) % 22.38/5.78 | (590) all_0_47_47 = e3 | all_0_47_47 = e2 % 22.38/5.78 | % 22.38/5.78 +-Applying beta-rule and splitting (590), into two cases. % 22.38/5.78 |-Branch one: % 22.38/5.78 | (591) all_0_47_47 = e3 % 22.38/5.78 | % 22.38/5.78 | Equations (591) can reduce 242 to: % 22.38/5.78 | (847) ~ (all_0_42_42 = e3) % 22.38/5.78 | % 22.38/5.78 +-Applying beta-rule and splitting (456), into two cases. % 22.38/5.78 |-Branch one: % 22.38/5.78 | (466) all_0_42_42 = e0 % 22.38/5.78 | % 22.38/5.78 | Equations (466) can reduce 463 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (463) ~ (all_0_42_42 = e0) % 22.38/5.78 | (469) all_0_42_42 = e3 % 22.38/5.78 | % 22.38/5.78 | Equations (469) can reduce 847 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (493) ~ (all_0_47_47 = e3) % 22.38/5.78 | (368) all_0_47_47 = e2 % 22.38/5.78 | % 22.38/5.78 | Equations (368) can reduce 361 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (503) ~ (all_0_44_44 = e0) % 22.38/5.78 | (504) all_0_49_49 = e0 | all_0_56_56 = e0 % 22.38/5.78 | % 22.38/5.78 +-Applying beta-rule and splitting (504), into two cases. % 22.38/5.78 |-Branch one: % 22.38/5.78 | (637) all_0_49_49 = e0 % 22.38/5.78 | % 22.38/5.78 | Combining equations (637,506) yields a new equation: % 22.38/5.78 | (481) e4 = e0 % 22.38/5.78 | % 22.38/5.78 | Equations (481) can reduce 47 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (652) ~ (all_0_49_49 = e0) % 22.38/5.78 | (653) all_0_56_56 = e0 % 22.38/5.78 | % 22.38/5.78 | Combining equations (376,653) yields a new equation: % 22.38/5.78 | (654) e3 = e0 % 22.38/5.78 | % 22.38/5.78 | Simplifying 654 yields: % 22.38/5.78 | (534) e3 = e0 % 22.38/5.78 | % 22.38/5.78 | Equations (534) can reduce 84 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (497) ~ (all_0_49_49 = e4) % 22.38/5.78 | (509) all_0_50_50 = e4 | all_0_52_52 = e4 % 22.38/5.78 | % 22.38/5.78 +-Applying beta-rule and splitting (509), into two cases. % 22.38/5.78 |-Branch one: % 22.38/5.78 | (523) all_0_50_50 = e4 % 22.38/5.78 | % 22.38/5.78 | Equations (523) can reduce 596 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (596) ~ (all_0_50_50 = e4) % 22.38/5.78 | (597) all_0_52_52 = e4 % 22.38/5.78 | % 22.38/5.78 | Combining equations (597,326) yields a new equation: % 22.38/5.78 | (598) e4 = e1 % 22.38/5.78 | % 22.38/5.78 | Simplifying 598 yields: % 22.38/5.78 | (535) e4 = e1 % 22.38/5.78 | % 22.38/5.78 | Equations (535) can reduce 115 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (875) ~ (all_0_54_54 = e3) % 22.38/5.78 | (876) all_0_55_55 = e3 % 22.38/5.78 | % 22.38/5.78 | Combining equations (876,385) yields a new equation: % 22.38/5.78 | (877) e3 = e2 % 22.38/5.78 | % 22.38/5.78 | Simplifying 877 yields: % 22.38/5.78 | (567) e3 = e2 % 22.38/5.78 | % 22.38/5.78 | Equations (567) can reduce 213 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (880) ~ (all_0_58_58 = e4) % 22.38/5.78 | (696) all_0_60_60 = e4 % 22.38/5.78 | % 22.38/5.78 | Combining equations (696,300) yields a new equation: % 22.38/5.78 | (480) e4 = e0 % 22.38/5.78 | % 22.38/5.78 | Simplifying 480 yields: % 22.38/5.78 | (481) e4 = e0 % 22.38/5.78 | % 22.38/5.78 | Equations (481) can reduce 47 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (885) ~ (all_0_51_51 = e2) % 22.38/5.78 | (886) all_0_59_59 = e2 % 22.38/5.78 | % 22.38/5.78 | Combining equations (886,341) yields a new equation: % 22.38/5.78 | (887) e2 = e1 % 22.38/5.78 | % 22.38/5.78 | Simplifying 887 yields: % 22.38/5.78 | (544) e2 = e1 % 22.38/5.78 | % 22.38/5.78 | Equations (544) can reduce 134 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (890) ~ (all_0_56_56 = e3) % 22.38/5.78 | (891) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 22.38/5.78 | % 22.38/5.78 +-Applying beta-rule and splitting (140), into two cases. % 22.38/5.78 |-Branch one: % 22.38/5.78 | (892) all_0_44_44 = e3 % 22.38/5.78 | % 22.38/5.78 | Equations (892) can reduce 107 to: % 22.38/5.78 | (213) ~ (e3 = e2) % 22.38/5.78 | % 22.38/5.78 | Equations (892) can reduce 273 to: % 22.38/5.78 | (214) ~ (e3 = e1) % 22.38/5.78 | % 22.38/5.78 +-Applying beta-rule and splitting (54), into two cases. % 22.38/5.78 |-Branch one: % 22.38/5.78 | (500) all_0_44_44 = e0 % 22.38/5.78 | % 22.38/5.78 | Combining equations (892,500) yields a new equation: % 22.38/5.78 | (654) e3 = e0 % 22.38/5.78 | % 22.38/5.78 | Simplifying 654 yields: % 22.38/5.78 | (534) e3 = e0 % 22.38/5.78 | % 22.38/5.78 | Equations (534) can reduce 84 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (503) ~ (all_0_44_44 = e0) % 22.38/5.78 | (504) all_0_49_49 = e0 | all_0_56_56 = e0 % 22.38/5.78 | % 22.38/5.78 | Equations (892) can reduce 503 to: % 22.38/5.78 | (84) ~ (e3 = e0) % 22.38/5.78 | % 22.38/5.78 +-Applying beta-rule and splitting (891), into two cases. % 22.38/5.78 |-Branch one: % 22.38/5.78 | (902) all_0_57_57 = e3 % 22.38/5.78 | % 22.38/5.78 | Combining equations (372,902) yields a new equation: % 22.38/5.78 | (567) e3 = e2 % 22.38/5.78 | % 22.38/5.78 | Equations (567) can reduce 213 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (905) ~ (all_0_57_57 = e3) % 22.38/5.78 | (906) all_0_59_59 = e3 | all_0_60_60 = e3 % 22.38/5.78 | % 22.38/5.78 +-Applying beta-rule and splitting (906), into two cases. % 22.38/5.78 |-Branch one: % 22.38/5.78 | (907) all_0_59_59 = e3 % 22.38/5.78 | % 22.38/5.78 | Combining equations (341,907) yields a new equation: % 22.38/5.78 | (420) e3 = e1 % 22.38/5.78 | % 22.38/5.78 | Equations (420) can reduce 214 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (910) ~ (all_0_59_59 = e3) % 22.38/5.78 | (911) all_0_60_60 = e3 % 22.38/5.78 | % 22.38/5.78 | Combining equations (300,911) yields a new equation: % 22.38/5.78 | (534) e3 = e0 % 22.38/5.78 | % 22.38/5.78 | Equations (534) can reduce 84 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (914) ~ (all_0_44_44 = e3) % 22.38/5.78 | (915) all_0_53_53 = e3 | all_0_56_56 = e3 % 22.38/5.78 | % 22.38/5.78 +-Applying beta-rule and splitting (915), into two cases. % 22.38/5.78 |-Branch one: % 22.38/5.78 | (419) all_0_53_53 = e3 % 22.38/5.78 | % 22.38/5.78 | Combining equations (272,419) yields a new equation: % 22.38/5.78 | (420) e3 = e1 % 22.38/5.78 | % 22.38/5.78 | Equations (420) can reduce 214 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (422) ~ (all_0_53_53 = e3) % 22.38/5.78 | (376) all_0_56_56 = e3 % 22.38/5.78 | % 22.38/5.78 | Equations (376) can reduce 890 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (922) ~ (all_0_57_57 = e2) % 22.38/5.78 | (923) all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 22.38/5.78 | % 22.38/5.78 +-Applying beta-rule and splitting (244), into two cases. % 22.38/5.78 |-Branch one: % 22.38/5.78 | (743) all_0_48_48 = e2 % 22.38/5.78 | % 22.38/5.78 | Equations (743) can reduce 363 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (363) ~ (all_0_48_48 = e2) % 22.38/5.78 | (927) all_0_52_52 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 22.38/5.78 | % 22.38/5.78 +-Applying beta-rule and splitting (203), into two cases. % 22.38/5.78 |-Branch one: % 22.38/5.78 | (603) all_0_41_41 = e4 % 22.38/5.78 | % 22.38/5.78 | Combining equations (253,603) yields a new equation: % 22.38/5.78 | (535) e4 = e1 % 22.38/5.78 | % 22.38/5.78 | Equations (535) can reduce 115 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (607) ~ (all_0_41_41 = e4) % 22.38/5.78 | (932) all_0_46_46 = e4 | all_0_58_58 = e4 % 22.38/5.78 | % 22.38/5.78 +-Applying beta-rule and splitting (932), into two cases. % 22.38/5.78 |-Branch one: % 22.38/5.78 | (933) all_0_46_46 = e4 % 22.38/5.78 | % 22.38/5.78 | Combining equations (358,933) yields a new equation: % 22.38/5.78 | (409) e4 = e2 % 22.38/5.78 | % 22.38/5.78 | Equations (409) can reduce 46 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (936) ~ (all_0_46_46 = e4) % 22.38/5.78 | (413) all_0_58_58 = e4 % 22.38/5.78 | % 22.38/5.78 +-Applying beta-rule and splitting (927), into two cases. % 22.38/5.78 |-Branch one: % 22.38/5.78 | (938) all_0_52_52 = e2 % 22.38/5.78 | % 22.38/5.78 | Combining equations (326,938) yields a new equation: % 22.38/5.78 | (544) e2 = e1 % 22.38/5.78 | % 22.38/5.78 | Equations (544) can reduce 134 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (941) ~ (all_0_52_52 = e2) % 22.38/5.78 | (942) all_0_55_55 = e2 | all_0_60_60 = e2 % 22.38/5.78 | % 22.38/5.78 +-Applying beta-rule and splitting (942), into two cases. % 22.38/5.78 |-Branch one: % 22.38/5.78 | (385) all_0_55_55 = e2 % 22.38/5.78 | % 22.38/5.78 | Equations (385) can reduce 228 to: % 22.38/5.78 | (399) ~ (e4 = e2) % 22.38/5.78 | % 22.38/5.78 | Simplifying 399 yields: % 22.38/5.78 | (46) ~ (e4 = e2) % 22.38/5.78 | % 22.38/5.78 | Equations (385) can reduce 277 to: % 22.38/5.78 | (134) ~ (e2 = e1) % 22.38/5.78 | % 22.38/5.78 | Equations (385) can reduce 178 to: % 22.38/5.78 | (139) ~ (e2 = e0) % 22.38/5.78 | % 22.38/5.78 +-Applying beta-rule and splitting (248), into two cases. % 22.38/5.78 |-Branch one: % 22.38/5.78 | (948) all_0_45_45 = e2 % 22.38/5.78 | % 22.38/5.78 | Combining equations (284,948) yields a new equation: % 22.38/5.78 | (544) e2 = e1 % 22.38/5.78 | % 22.38/5.78 | Equations (544) can reduce 134 to: % 22.38/5.78 | (298) $false % 22.38/5.78 | % 22.38/5.78 |-The branch is then unsatisfiable % 22.38/5.78 |-Branch two: % 22.38/5.78 | (951) ~ (all_0_45_45 = e2) % 22.38/5.79 | (952) all_0_50_50 = e2 | all_0_54_54 = e2 | all_0_57_57 = e2 % 22.38/5.79 | % 22.38/5.79 | Equations (284) can reduce 951 to: % 22.38/5.79 | (263) ~ (e2 = e1) % 22.38/5.79 | % 22.38/5.79 | Simplifying 263 yields: % 22.38/5.79 | (134) ~ (e2 = e1) % 22.38/5.79 | % 22.38/5.79 +-Applying beta-rule and splitting (923), into two cases. % 22.38/5.79 |-Branch one: % 22.38/5.79 | (955) all_0_58_58 = e2 % 22.38/5.79 | % 22.38/5.79 | Combining equations (955,413) yields a new equation: % 22.38/5.79 | (409) e4 = e2 % 22.38/5.79 | % 22.38/5.79 | Equations (409) can reduce 46 to: % 22.38/5.79 | (298) $false % 22.38/5.79 | % 22.38/5.79 |-The branch is then unsatisfiable % 22.38/5.79 |-Branch two: % 22.38/5.79 | (958) ~ (all_0_58_58 = e2) % 22.38/5.79 | (959) all_0_59_59 = e2 | all_0_60_60 = e2 % 22.38/5.79 | % 22.38/5.79 +-Applying beta-rule and splitting (959), into two cases. % 22.38/5.79 |-Branch one: % 22.38/5.79 | (886) all_0_59_59 = e2 % 22.38/5.79 | % 22.38/5.79 | Combining equations (341,886) yields a new equation: % 22.38/5.79 | (544) e2 = e1 % 22.38/5.79 | % 22.38/5.79 | Equations (544) can reduce 134 to: % 22.38/5.79 | (298) $false % 22.38/5.79 | % 22.38/5.79 |-The branch is then unsatisfiable % 22.38/5.79 |-Branch two: % 22.38/5.79 | (963) ~ (all_0_59_59 = e2) % 22.38/5.79 | (964) all_0_60_60 = e2 % 22.38/5.79 | % 22.38/5.79 | Combining equations (964,300) yields a new equation: % 22.38/5.79 | (568) e2 = e0 % 22.38/5.79 | % 22.38/5.79 | Simplifying 568 yields: % 22.38/5.79 | (569) e2 = e0 % 22.38/5.79 | % 22.38/5.79 | Equations (569) can reduce 139 to: % 22.38/5.79 | (298) $false % 22.38/5.79 | % 22.38/5.79 |-The branch is then unsatisfiable % 22.38/5.79 |-Branch two: % 22.38/5.79 | (968) ~ (all_0_55_55 = e2) % 22.38/5.79 | (964) all_0_60_60 = e2 % 22.38/5.79 | % 22.38/5.79 | Combining equations (964,300) yields a new equation: % 22.38/5.79 | (568) e2 = e0 % 22.38/5.79 | % 22.38/5.79 | Simplifying 568 yields: % 22.38/5.79 | (569) e2 = e0 % 22.38/5.79 | % 22.38/5.79 | Equations (569) can reduce 139 to: % 22.38/5.79 | (298) $false % 22.38/5.79 | % 22.38/5.79 |-The branch is then unsatisfiable % 22.38/5.79 |-Branch two: % 22.38/5.79 | (973) ~ (all_0_46_46 = e2) % 22.38/5.79 | (955) all_0_58_58 = e2 % 22.38/5.79 | % 22.38/5.79 | Equations (955) can reduce 236 to: % 22.38/5.79 | (973) ~ (all_0_46_46 = e2) % 22.38/5.79 | % 22.38/5.79 | Equations (955) can reduce 230 to: % 22.38/5.79 | (26) ~ (all_0_56_56 = e2) % 22.38/5.79 | % 22.38/5.79 | Equations (955) can reduce 208 to: % 22.38/5.79 | (922) ~ (all_0_57_57 = e2) % 22.38/5.79 | % 22.38/5.79 | Equations (955) can reduce 161 to: % 22.38/5.79 | (401) ~ (e3 = e2) % 22.38/5.79 | % 22.38/5.79 | Simplifying 401 yields: % 22.38/5.79 | (213) ~ (e3 = e2) % 22.38/5.79 | % 22.38/5.79 | From (955) and (191) follows: % 22.38/5.79 | (980) op(e2, e2) = all_0_36_36 % 22.38/5.79 | % 22.38/5.79 | From (955) and (185) follows: % 22.38/5.79 | (981) op(e0, e2) = e2 % 22.38/5.79 | % 22.38/5.79 +-Applying beta-rule and splitting (192), into two cases. % 22.38/5.79 |-Branch one: % 22.38/5.79 | (982) all_0_46_46 = e1 % 22.38/5.79 | % 22.38/5.79 | Equations (982) can reduce 260 to: % 22.38/5.79 | (298) $false % 22.38/5.79 | % 22.38/5.79 |-The branch is then unsatisfiable % 22.38/5.79 |-Branch two: % 22.38/5.79 | (260) ~ (all_0_46_46 = e1) % 22.38/5.79 | (985) all_0_46_46 = e4 | all_0_46_46 = e2 % 22.38/5.79 | % 22.38/5.79 +-Applying beta-rule and splitting (985), into two cases. % 22.38/5.79 |-Branch one: % 22.38/5.79 | (933) all_0_46_46 = e4 % 22.38/5.79 | % 22.38/5.79 | Equations (933) can reduce 120 to: % 22.38/5.79 | (610) ~ (all_0_44_44 = e4) % 22.38/5.79 | % 22.38/5.79 | Equations (933) can reduce 179 to: % 22.38/5.79 | (988) ~ (all_0_47_47 = e4) % 22.38/5.79 | % 22.38/5.79 | Simplifying 988 yields: % 22.38/5.79 | (76) ~ (all_0_47_47 = e4) % 22.38/5.79 | % 22.38/5.79 | Equations (933) can reduce 27 to: % 22.38/5.79 | (184) ~ (e4 = e3) % 22.38/5.79 | % 22.38/5.79 | Equations (933) can reduce 260 to: % 22.38/5.79 | (115) ~ (e4 = e1) % 22.38/5.79 | % 22.38/5.79 | Equations (933) can reduce 151 to: % 22.38/5.79 | (47) ~ (e4 = e0) % 22.38/5.79 | % 22.38/5.79 | From (933) and (144) follows: % 22.38/5.79 | (993) op(e4, e2) = all_0_12_12 % 22.38/5.79 | % 22.38/5.79 | From (933) and (13) follows: % 22.38/5.79 | (994) op(e3, e2) = e4 % 22.38/5.79 | % 22.38/5.79 +-Applying beta-rule and splitting (45), into two cases. % 22.38/5.79 |-Branch one: % 22.38/5.79 | (520) all_0_43_43 = e4 % 22.38/5.79 | % 22.38/5.79 | Equations (520) can reduce 238 to: % 22.38/5.79 | (483) ~ (all_0_40_40 = e4) % 22.38/5.79 | % 22.38/5.79 | Equations (520) can reduce 20 to: % 22.38/5.79 | (247) ~ (all_0_42_42 = e4) % 22.38/5.79 | % 22.38/5.79 | Equations (520) can reduce 112 to: % 22.38/5.79 | (998) ~ (all_0_55_55 = e4) % 22.38/5.79 | % 22.38/5.79 | Simplifying 998 yields: % 22.38/5.79 | (228) ~ (all_0_55_55 = e4) % 22.38/5.79 | % 22.38/5.79 | Equations (520) can reduce 258 to: % 22.38/5.79 | (115) ~ (e4 = e1) % 22.38/5.79 | % 22.38/5.79 | From (520) and (181) follows: % 22.38/5.79 | (1001) op(e4, e4) = all_0_6_6 % 22.38/5.79 | % 22.38/5.79 | From (520) and (11) follows: % 22.38/5.79 | (1002) op(e4, e0) = all_0_7_7 % 22.38/5.79 | % 22.38/5.79 | From (520) and (34) follows: % 22.38/5.79 | (522) op(e4, e0) = e4 % 22.38/5.79 | % 22.38/5.79 | Instantiating formula (206) with e4, e4, all_0_6_6, e2 and discharging atoms op(e4, e4) = all_0_6_6, op(e4, e4) = e2, yields: % 22.38/5.79 | (1004) all_0_6_6 = e2 % 22.38/5.79 | % 22.38/5.79 | Instantiating formula (206) with e4, e2, all_0_12_12, e1 and discharging atoms op(e4, e2) = all_0_12_12, op(e4, e2) = e1, yields: % 22.38/5.79 | (1005) all_0_12_12 = e1 % 22.38/5.79 | % 22.38/5.79 | Instantiating formula (206) with e4, e0, e4, all_0_7_7 and discharging atoms op(e4, e0) = all_0_7_7, op(e4, e0) = e4, yields: % 22.38/5.79 | (1006) all_0_7_7 = e4 % 22.38/5.79 | % 22.38/5.79 | Instantiating formula (206) with e2, e2, all_0_36_36, e3 and discharging atoms op(e2, e2) = all_0_36_36, op(e2, e2) = e3, yields: % 22.38/5.79 | (1007) all_0_36_36 = e3 % 22.38/5.79 | % 22.38/5.79 | From (1004) and (1001) follows: % 22.38/5.79 | (187) op(e4, e4) = e2 % 22.38/5.79 | % 22.38/5.79 | From (1005) and (993) follows: % 22.38/5.79 | (268) op(e4, e2) = e1 % 22.38/5.79 | % 22.38/5.79 | From (1006) and (1002) follows: % 22.38/5.79 | (522) op(e4, e0) = e4 % 22.38/5.79 | % 22.38/5.79 | From (1007) and (980) follows: % 22.38/5.79 | (72) op(e2, e2) = e3 % 22.38/5.79 | % 22.38/5.79 +-Applying beta-rule and splitting (138), into two cases. % 22.38/5.79 |-Branch one: % 22.38/5.79 | (382) all_0_54_54 = e2 % 22.38/5.79 | % 22.38/5.79 | Equations (382) can reduce 35 to: % 22.38/5.79 | (246) ~ (all_0_40_40 = e2) % 22.38/5.79 | % 22.38/5.79 | Equations (382) can reduce 85 to: % 22.38/5.79 | (1014) ~ (all_0_55_55 = e2) % 22.38/5.79 | % 22.38/5.79 | Simplifying 1014 yields: % 22.38/5.79 | (968) ~ (all_0_55_55 = e2) % 22.38/5.79 | % 22.38/5.79 | Equations (382) can reduce 275 to: % 22.38/5.79 | (134) ~ (e2 = e1) % 22.38/5.79 | % 22.38/5.79 | Equations (382) can reduce 210 to: % 22.38/5.79 | (139) ~ (e2 = e0) % 22.38/5.79 | % 22.38/5.79 | From (382) and (36) follows: % 22.38/5.79 | (1018) op(e2, e3) = all_0_28_28 % 22.38/5.79 | % 22.38/5.79 | From (382) and (38) follows: % 22.38/5.79 | (1019) op(e2, e1) = all_0_27_27 % 22.38/5.79 | % 22.38/5.79 | From (382) and (154) follows: % 22.38/5.79 | (1020) op(e1, e3) = e2 % 22.38/5.79 | % 22.38/5.79 +-Applying beta-rule and splitting (244), into two cases. % 22.38/5.79 |-Branch one: % 22.38/5.79 | (743) all_0_48_48 = e2 % 22.38/5.79 | % 22.38/5.79 | Equations (743) can reduce 224 to: % 22.38/5.79 | (361) ~ (all_0_47_47 = e2) % 22.38/5.79 | % 22.38/5.79 | Equations (743) can reduce 176 to: % 22.38/5.79 | (1014) ~ (all_0_55_55 = e2) % 22.38/5.79 | % 22.38/5.79 | Simplifying 1014 yields: % 22.38/5.79 | (968) ~ (all_0_55_55 = e2) % 22.38/5.79 | % 22.38/5.79 | Equations (743) can reduce 290 to: % 22.38/5.79 | (134) ~ (e2 = e1) % 22.38/5.79 | % 22.38/5.79 | Equations (743) can reduce 303 to: % 22.38/5.79 | (139) ~ (e2 = e0) % 22.38/5.79 | % 22.38/5.79 | From (743) and (225) follows: % 22.38/5.79 | (1027) op(e2, e3) = all_0_15_15 % 22.38/5.79 | % 22.38/5.79 | From (743) and (202) follows: % 22.38/5.79 | (1028) op(e3, e0) = e2 % 22.38/5.79 | % 22.38/5.79 +-Applying beta-rule and splitting (28), into two cases. % 22.38/5.79 |-Branch one: % 22.38/5.79 | (1029) all_0_55_55 = e1 % 22.38/5.79 | % 22.38/5.79 | Equations (1029) can reduce 277 to: % 22.38/5.79 | (298) $false % 22.38/5.79 | % 22.38/5.79 |-The branch is then unsatisfiable % 22.38/5.79 |-Branch two: % 22.38/5.79 | (277) ~ (all_0_55_55 = e1) % 22.38/5.79 | (1032) all_0_55_55 = e3 | all_0_55_55 = e2 % 22.38/5.79 | % 22.38/5.79 +-Applying beta-rule and splitting (32), into two cases. % 22.38/5.79 |-Branch one: % 22.38/5.79 | (368) all_0_47_47 = e2 % 22.38/5.79 | % 22.38/5.79 | Equations (368) can reduce 361 to: % 22.38/5.79 | (298) $false % 22.38/5.79 | % 22.38/5.79 |-The branch is then unsatisfiable % 22.38/5.79 |-Branch two: % 22.38/5.79 | (361) ~ (all_0_47_47 = e2) % 22.38/5.79 | (371) all_0_51_51 = e2 | all_0_59_59 = e2 % 22.38/5.79 | % 22.38/5.79 +-Applying beta-rule and splitting (371), into two cases. % 22.38/5.79 |-Branch one: % 22.38/5.79 | (396) all_0_51_51 = e2 % 22.38/5.79 | % 22.38/5.79 | Equations (396) can reduce 171 to: % 22.38/5.79 | (361) ~ (all_0_47_47 = e2) % 22.38/5.79 | % 22.38/5.79 | Equations (396) can reduce 344 to: % 22.38/5.79 | (134) ~ (e2 = e1) % 22.38/5.79 | % 22.38/5.79 | From (396) and (169) follows: % 22.38/5.79 | (404) op(e2, e2) = all_0_21_21 % 22.38/5.79 | % 22.38/5.79 | From (396) and (33) follows: % 22.38/5.79 | (405) op(e2, e1) = all_0_22_22 % 22.38/5.79 | % 22.38/5.79 | From (396) and (149) follows: % 22.38/5.79 | (406) op(e2, e1) = e2 % 22.38/5.79 | % 22.38/5.79 +-Applying beta-rule and splitting (1032), into two cases. % 22.38/5.79 |-Branch one: % 22.38/5.79 | (876) all_0_55_55 = e3 % 22.38/5.79 | % 22.38/5.79 | Equations (876) can reduce 968 to: % 22.38/5.79 | (213) ~ (e3 = e2) % 22.38/5.79 | % 22.38/5.79 | Equations (876) can reduce 277 to: % 22.38/5.79 | (214) ~ (e3 = e1) % 22.38/5.79 | % 22.38/5.79 | Equations (876) can reduce 178 to: % 22.38/5.79 | (84) ~ (e3 = e0) % 22.38/5.79 | % 22.38/5.79 | From (876) and (146) follows: % 22.38/5.79 | (1047) op(e3, e0) = all_0_30_30 % 22.38/5.79 | % 22.38/5.79 | From (876) and (218) follows: % 22.38/5.79 | (1048) op(e1, e0) = e3 % 22.38/5.79 | % 22.38/5.79 | Instantiating formula (206) with e3, e0, e2, all_0_30_30 and discharging atoms op(e3, e0) = all_0_30_30, op(e3, e0) = e2, yields: % 22.38/5.79 | (1049) all_0_30_30 = e2 % 22.38/5.79 | % 22.38/5.79 | Instantiating formula (206) with e2, e3, all_0_15_15, all_0_50_50 and discharging atoms op(e2, e3) = all_0_15_15, op(e2, e3) = all_0_50_50, yields: % 22.38/5.79 | (1050) all_0_15_15 = all_0_50_50 % 22.38/5.79 | % 22.38/5.79 | Instantiating formula (206) with e2, e3, all_0_28_28, all_0_15_15 and discharging atoms op(e2, e3) = all_0_15_15, op(e2, e3) = all_0_28_28, yields: % 22.38/5.79 | (1051) all_0_15_15 = all_0_28_28 % 22.38/5.79 | % 22.38/5.79 | Instantiating formula (206) with e2, e2, all_0_21_21, e3 and discharging atoms op(e2, e2) = all_0_21_21, op(e2, e2) = e3, yields: % 22.38/5.79 | (443) all_0_21_21 = e3 % 22.38/5.79 | % 22.38/5.79 | Instantiating formula (206) with e2, e1, all_0_27_27, all_0_22_22 and discharging atoms op(e2, e1) = all_0_22_22, op(e2, e1) = all_0_27_27, yields: % 22.38/5.79 | (1053) all_0_22_22 = all_0_27_27 % 22.38/5.79 | % 22.38/5.79 | Instantiating formula (206) with e2, e1, e2, all_0_22_22 and discharging atoms op(e2, e1) = all_0_22_22, op(e2, e1) = e2, yields: % 22.38/5.79 | (440) all_0_22_22 = e2 % 22.38/5.79 | % 22.38/5.79 | Combining equations (1051,1050) yields a new equation: % 22.38/5.79 | (1055) all_0_28_28 = all_0_50_50 % 22.38/5.79 | % 22.38/5.79 | Simplifying 1055 yields: % 22.38/5.79 | (1056) all_0_28_28 = all_0_50_50 % 22.38/5.79 | % 22.38/5.79 | Combining equations (440,1053) yields a new equation: % 22.38/5.79 | (1057) all_0_27_27 = e2 % 22.38/5.79 | % 22.38/5.79 | From (1049) and (1047) follows: % 22.38/5.79 | (1028) op(e3, e0) = e2 % 22.38/5.79 | % 22.38/5.79 | From (1056) and (1018) follows: % 22.38/5.79 | (207) op(e2, e3) = all_0_50_50 % 22.38/5.79 | % 22.38/5.79 | From (443) and (404) follows: % 22.38/5.79 | (72) op(e2, e2) = e3 % 22.38/5.79 | % 22.38/5.79 | From (1057) and (1019) follows: % 22.38/5.80 | (406) op(e2, e1) = e2 % 22.38/5.80 | % 22.38/5.80 +-Applying beta-rule and splitting (92), into two cases. % 22.38/5.80 |-Branch one: % 22.38/5.80 | (453) all_0_42_42 = e1 % 22.38/5.80 | % 22.38/5.80 | Equations (453) can reduce 256 to: % 22.38/5.80 | (298) $false % 22.38/5.80 | % 22.38/5.80 |-The branch is then unsatisfiable % 22.38/5.80 |-Branch two: % 22.38/5.80 | (256) ~ (all_0_42_42 = e1) % 22.38/5.80 | (456) all_0_42_42 = e3 | all_0_42_42 = e0 % 22.38/5.80 | % 22.38/5.80 +-Applying beta-rule and splitting (105), into two cases. % 22.38/5.80 |-Branch one: % 22.38/5.80 | (457) all_0_49_49 = e1 % 22.38/5.80 | % 22.38/5.80 | Equations (457) can reduce 329 to: % 22.38/5.80 | (298) $false % 22.38/5.80 | % 22.38/5.80 |-The branch is then unsatisfiable % 22.38/5.80 |-Branch two: % 22.38/5.80 | (329) ~ (all_0_49_49 = e1) % 22.38/5.80 | (460) all_0_49_49 = e4 | all_0_49_49 = e0 % 22.38/5.80 | % 22.38/5.80 +-Applying beta-rule and splitting (54), into two cases. % 22.38/5.80 |-Branch one: % 22.38/5.80 | (500) all_0_44_44 = e0 % 22.38/5.80 | % 22.38/5.80 | Equations (500) can reduce 98 to: % 22.38/5.80 | (769) ~ (all_0_47_47 = e0) % 22.38/5.80 | % 22.38/5.80 | Simplifying 769 yields: % 22.38/5.80 | (589) ~ (all_0_47_47 = e0) % 22.38/5.80 | % 22.38/5.80 | Equations (500) can reduce 195 to: % 22.38/5.80 | (1073) ~ (all_0_56_56 = e0) % 22.38/5.80 | % 22.38/5.80 | Simplifying 1073 yields: % 22.38/5.80 | (306) ~ (all_0_56_56 = e0) % 22.38/5.80 | % 22.38/5.80 | Equations (500) can reduce 610 to: % 22.38/5.80 | (485) ~ (e4 = e0) % 22.38/5.80 | % 22.38/5.80 | Simplifying 485 yields: % 22.38/5.80 | (47) ~ (e4 = e0) % 22.38/5.80 | % 22.38/5.80 +-Applying beta-rule and splitting (163), into two cases. % 22.38/5.80 |-Branch one: % 22.38/5.80 | (892) all_0_44_44 = e3 % 22.38/5.80 | % 22.38/5.80 | Combining equations (892,500) yields a new equation: % 22.38/5.80 | (654) e3 = e0 % 22.38/5.80 | % 22.38/5.80 | Simplifying 654 yields: % 22.38/5.80 | (534) e3 = e0 % 22.38/5.80 | % 22.38/5.80 | Equations (534) can reduce 84 to: % 22.38/5.80 | (298) $false % 22.38/5.80 | % 22.38/5.80 |-The branch is then unsatisfiable % 22.38/5.80 |-Branch two: % 22.38/5.80 | (914) ~ (all_0_44_44 = e3) % 22.38/5.80 | (1082) all_0_45_45 = e3 | all_0_47_47 = e3 | all_0_48_48 = e3 % 22.38/5.80 | % 22.38/5.80 +-Applying beta-rule and splitting (1082), into two cases. % 22.38/5.80 |-Branch one: % 22.38/5.80 | (1083) all_0_45_45 = e3 % 22.38/5.80 | % 22.38/5.80 | Combining equations (1083,284) yields a new equation: % 22.38/5.80 | (1084) e3 = e1 % 22.38/5.80 | % 22.38/5.80 | Simplifying 1084 yields: % 22.38/5.80 | (420) e3 = e1 % 22.38/5.80 | % 22.38/5.80 | Equations (420) can reduce 214 to: % 22.38/5.80 | (298) $false % 22.38/5.80 | % 22.38/5.80 |-The branch is then unsatisfiable % 22.38/5.80 |-Branch two: % 22.38/5.80 | (1087) ~ (all_0_45_45 = e3) % 22.38/5.80 | (1088) all_0_47_47 = e3 | all_0_48_48 = e3 % 22.38/5.80 | % 22.38/5.80 +-Applying beta-rule and splitting (1088), into two cases. % 22.38/5.80 |-Branch one: % 22.38/5.80 | (591) all_0_47_47 = e3 % 22.38/5.80 | % 22.38/5.80 | Equations (591) can reduce 242 to: % 22.38/5.80 | (847) ~ (all_0_42_42 = e3) % 22.38/5.80 | % 22.38/5.80 | Equations (591) can reduce 361 to: % 22.38/5.80 | (213) ~ (e3 = e2) % 22.38/5.80 | % 22.38/5.80 | Equations (591) can reduce 343 to: % 22.38/5.80 | (214) ~ (e3 = e1) % 22.38/5.80 | % 22.38/5.80 | Equations (591) can reduce 589 to: % 22.38/5.80 | (84) ~ (e3 = e0) % 22.38/5.80 | % 22.38/5.80 +-Applying beta-rule and splitting (23), into two cases. % 22.38/5.80 |-Branch one: % 22.38/5.80 | (755) all_0_40_40 = e3 % 22.38/5.80 | % 22.38/5.80 | Equations (755) can reduce 254 to: % 22.38/5.80 | (214) ~ (e3 = e1) % 22.38/5.80 | % 22.38/5.80 +-Applying beta-rule and splitting (212), into two cases. % 22.38/5.80 |-Branch one: % 22.38/5.80 | (461) all_0_40_40 = e0 % 22.38/5.80 | % 22.38/5.80 | Combining equations (461,755) yields a new equation: % 22.38/5.80 | (534) e3 = e0 % 22.38/5.80 | % 22.38/5.80 | Equations (534) can reduce 84 to: % 22.38/5.80 | (298) $false % 22.38/5.80 | % 22.38/5.80 |-The branch is then unsatisfiable % 22.38/5.80 |-Branch two: % 22.38/5.80 | (745) ~ (all_0_40_40 = e0) % 22.38/5.80 | (746) all_0_42_42 = e0 | all_0_43_43 = e0 % 22.38/5.80 | % 22.38/5.80 | Equations (755) can reduce 745 to: % 22.38/5.80 | (84) ~ (e3 = e0) % 22.38/5.80 | % 22.38/5.80 +-Applying beta-rule and splitting (140), into two cases. % 22.38/5.80 |-Branch one: % 22.38/5.80 | (892) all_0_44_44 = e3 % 22.38/5.80 | % 22.38/5.80 | Combining equations (892,500) yields a new equation: % 22.38/5.80 | (654) e3 = e0 % 22.38/5.80 | % 22.38/5.80 | Simplifying 654 yields: % 22.38/5.80 | (534) e3 = e0 % 22.38/5.80 | % 22.38/5.80 | Equations (534) can reduce 84 to: % 22.38/5.80 | (298) $false % 22.38/5.80 | % 22.38/5.80 |-The branch is then unsatisfiable % 22.38/5.80 |-Branch two: % 22.38/5.80 | (914) ~ (all_0_44_44 = e3) % 22.38/5.80 | (915) all_0_53_53 = e3 | all_0_56_56 = e3 % 22.38/5.80 | % 22.38/5.80 +-Applying beta-rule and splitting (746), into two cases. % 22.38/5.80 |-Branch one: % 22.38/5.80 | (466) all_0_42_42 = e0 % 22.38/5.80 | % 22.38/5.80 | Equations (466) can reduce 247 to: % 22.38/5.80 | (485) ~ (e4 = e0) % 22.38/5.80 | % 22.38/5.80 | Simplifying 485 yields: % 22.38/5.80 | (47) ~ (e4 = e0) % 22.38/5.80 | % 22.38/5.80 | Equations (466) can reduce 256 to: % 22.38/5.80 | (526) ~ (e1 = e0) % 22.38/5.80 | % 22.38/5.80 | Simplifying 526 yields: % 22.38/5.80 | (231) ~ (e1 = e0) % 22.38/5.80 | % 22.38/5.80 | From (466) and (2) follows: % 22.38/5.80 | (780) op(e4, e1) = e0 % 22.38/5.80 | % 22.38/5.80 +-Applying beta-rule and splitting (96), into two cases. % 22.38/5.80 |-Branch one: % 22.38/5.80 | (376) all_0_56_56 = e3 % 22.38/5.80 | % 22.38/5.80 | Equations (376) can reduce 106 to: % 22.38/5.80 | (111) ~ (all_0_49_49 = e3) % 22.38/5.80 | % 22.38/5.80 | Equations (376) can reduce 306 to: % 22.38/5.80 | (84) ~ (e3 = e0) % 22.38/5.80 | % 22.38/5.80 +-Applying beta-rule and splitting (63), into two cases. % 22.38/5.80 |-Branch one: % 22.38/5.80 | (495) all_0_44_44 = e4 % 22.38/5.80 | % 22.38/5.80 | Combining equations (495,500) yields a new equation: % 22.38/5.80 | (480) e4 = e0 % 22.38/5.80 | % 22.38/5.80 | Simplifying 480 yields: % 22.38/5.80 | (481) e4 = e0 % 22.38/5.80 | % 22.38/5.80 | Equations (481) can reduce 47 to: % 22.38/5.80 | (298) $false % 22.38/5.80 | % 22.38/5.80 |-The branch is then unsatisfiable % 22.38/5.80 |-Branch two: % 22.38/5.80 | (610) ~ (all_0_44_44 = e4) % 22.38/5.80 | (615) all_0_49_49 = e4 | all_0_56_56 = e4 % 22.38/5.80 | % 22.38/5.80 | Equations (500) can reduce 610 to: % 22.38/5.80 | (485) ~ (e4 = e0) % 22.38/5.80 | % 22.38/5.80 | Simplifying 485 yields: % 22.38/5.80 | (47) ~ (e4 = e0) % 22.38/5.80 | % 22.38/5.80 +-Applying beta-rule and splitting (104), into two cases. % 22.38/5.80 |-Branch one: % 22.38/5.80 | (461) all_0_40_40 = e0 % 22.38/5.80 | % 22.38/5.80 | Combining equations (461,755) yields a new equation: % 22.38/5.80 | (534) e3 = e0 % 22.38/5.80 | % 22.38/5.80 | Equations (534) can reduce 84 to: % 22.38/5.80 | (298) $false % 22.38/5.80 | % 22.38/5.80 |-The branch is then unsatisfiable % 22.38/5.80 |-Branch two: % 22.38/5.80 | (745) ~ (all_0_40_40 = e0) % 22.38/5.80 | (1129) all_0_45_45 = e0 | all_0_50_50 = e0 | all_0_57_57 = e0 % 22.38/5.80 | % 22.38/5.80 +-Applying beta-rule and splitting (1129), into two cases. % 22.38/5.80 |-Branch one: % 22.38/5.80 | (295) all_0_45_45 = e0 % 22.38/5.80 | % 22.38/5.80 | Combining equations (284,295) yields a new equation: % 22.38/5.80 | (296) e1 = e0 % 22.38/5.80 | % 22.38/5.80 | Simplifying 296 yields: % 22.38/5.80 | (297) e1 = e0 % 22.38/5.80 | % 22.38/5.80 | Equations (297) can reduce 231 to: % 22.38/5.80 | (298) $false % 22.38/5.80 | % 22.38/5.80 |-The branch is then unsatisfiable % 22.38/5.80 |-Branch two: % 22.38/5.80 | (299) ~ (all_0_45_45 = e0) % 22.38/5.80 | (1135) all_0_50_50 = e0 | all_0_57_57 = e0 % 22.38/5.80 | % 22.38/5.80 +-Applying beta-rule and splitting (1135), into two cases. % 22.38/5.80 |-Branch one: % 22.38/5.80 | (781) all_0_50_50 = e0 % 22.38/5.80 | % 22.38/5.80 | Equations (781) can reduce 189 to: % 22.38/5.80 | (652) ~ (all_0_49_49 = e0) % 22.38/5.80 | % 22.38/5.80 | Equations (781) can reduce 330 to: % 22.38/5.80 | (526) ~ (e1 = e0) % 22.38/5.80 | % 22.38/5.80 | Simplifying 526 yields: % 22.38/5.80 | (231) ~ (e1 = e0) % 22.38/5.80 | % 22.38/5.80 | From (781) and (207) follows: % 22.38/5.80 | (786) op(e2, e3) = e0 % 22.38/5.80 | % 22.38/5.80 +-Applying beta-rule and splitting (226), into two cases. % 22.38/5.80 |-Branch one: % 22.38/5.80 | (506) all_0_49_49 = e4 % 22.38/5.80 | % 22.38/5.80 | Equations (506) can reduce 111 to: % 22.38/5.80 | (184) ~ (e4 = e3) % 22.38/5.80 | % 22.38/5.80 | Equations (506) can reduce 329 to: % 22.38/5.80 | (115) ~ (e4 = e1) % 22.38/5.80 | % 22.38/5.80 | Equations (506) can reduce 652 to: % 22.38/5.80 | (47) ~ (e4 = e0) % 22.38/5.80 | % 22.38/5.80 | From (506) and (110) follows: % 22.38/5.80 | (767) op(e2, e4) = e4 % 22.38/5.80 | % 22.38/5.80 +-Applying beta-rule and splitting (237), into two cases. % 22.38/5.80 |-Branch one: % 22.38/5.80 | (390) all_0_56_56 = e4 % 22.38/5.80 | % 22.38/5.80 | Combining equations (376,390) yields a new equation: % 22.38/5.80 | (392) e4 = e3 % 22.38/5.80 | % 22.38/5.80 | Equations (392) can reduce 184 to: % 22.38/5.80 | (298) $false % 22.38/5.80 | % 22.38/5.80 |-The branch is then unsatisfiable % 22.38/5.80 |-Branch two: % 22.38/5.80 | (394) ~ (all_0_56_56 = e4) % 22.38/5.80 | (395) all_0_57_57 = e4 | all_0_58_58 = e4 | all_0_60_60 = e4 % 22.38/5.80 | % 22.38/5.80 | Equations (376) can reduce 394 to: % 22.38/5.80 | (472) ~ (e4 = e3) % 22.38/5.80 | % 22.38/5.80 | Simplifying 472 yields: % 22.38/5.80 | (184) ~ (e4 = e3) % 22.38/5.80 | % 22.38/5.80 +-Applying beta-rule and splitting (125), into two cases. % 22.38/5.80 |-Branch one: % 22.38/5.80 | (479) all_0_40_40 = e4 % 22.38/5.80 | % 22.38/5.80 | Combining equations (479,755) yields a new equation: % 22.38/5.80 | (391) e4 = e3 % 22.38/5.80 | % 22.38/5.80 | Simplifying 391 yields: % 22.38/5.80 | (392) e4 = e3 % 22.38/5.80 | % 22.38/5.80 | Equations (392) can reduce 184 to: % 22.38/5.80 | (298) $false % 22.38/5.80 | % 22.38/5.80 |-The branch is then unsatisfiable % 22.38/5.80 |-Branch two: % 22.38/5.80 | (483) ~ (all_0_40_40 = e4) % 22.38/5.80 | (484) all_0_45_45 = e4 | all_0_50_50 = e4 | all_0_57_57 = e4 % 22.38/5.80 | % 22.38/5.80 +-Applying beta-rule and splitting (395), into two cases. % 22.38/5.80 |-Branch one: % 22.38/5.80 | (407) all_0_57_57 = e4 % 22.38/5.80 | % 22.38/5.80 | From (407) and (150) follows: % 22.38/5.80 | (1160) op(e0, e3) = e4 % 22.38/5.80 | % 22.38/5.80 +-Applying beta-rule and splitting (55), into two cases. % 22.38/5.80 |-Branch one: % 22.38/5.80 | (529) unit = e1 % 22.38/5.80 | % 22.38/5.80 | From (529) and (243) follows: % 22.38/5.80 | (530) op(e4, e1) = e4 % 22.38/5.80 | % 22.38/5.80 | From (529) and (221) follows: % 22.38/5.80 | (532) op(e1, e1) = e1 % 22.38/5.80 | % 22.38/5.80 | Instantiating formula (206) with e4, e1, e4, e0 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e0, yields: % 22.38/5.80 | (481) e4 = e0 % 22.38/5.80 | % 22.38/5.80 | Instantiating formula (206) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 22.38/5.80 | (535) e4 = e1 % 22.38/5.80 | % 22.38/5.80 | Combining equations (481,535) yields a new equation: % 22.38/5.80 | (297) e1 = e0 % 22.38/5.80 | % 22.38/5.80 | Equations (297) can reduce 231 to: % 22.38/5.80 | (298) $false % 22.38/5.80 | % 22.38/5.80 |-The branch is then unsatisfiable % 22.38/5.80 |-Branch two: % 22.38/5.80 | (540) ~ (unit = e1) % 22.38/5.80 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 22.38/5.80 | % 22.38/5.80 +-Applying beta-rule and splitting (541), into two cases. % 22.38/5.80 |-Branch one: % 22.38/5.80 | (542) unit = e0 % 22.38/5.80 | % 22.38/5.80 | From (542) and (74) follows: % 22.38/5.80 | (494) op(e3, e0) = e3 % 22.38/5.80 | % 22.38/5.80 | From (542) and (221) follows: % 22.38/5.80 | (543) op(e1, e0) = e1 % 22.38/5.80 | % 22.38/5.80 | Instantiating formula (206) with e3, e0, e3, e2 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e2, yields: % 22.38/5.80 | (567) e3 = e2 % 22.38/5.80 | % 22.38/5.80 | Instantiating formula (206) with e1, e0, e1, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e1, yields: % 22.38/5.80 | (420) e3 = e1 % 22.38/5.80 | % 22.38/5.80 | Combining equations (420,567) yields a new equation: % 22.38/5.80 | (544) e2 = e1 % 22.38/5.80 | % 22.38/5.80 | Equations (544) can reduce 134 to: % 22.38/5.80 | (298) $false % 22.38/5.80 | % 22.38/5.80 |-The branch is then unsatisfiable % 22.38/5.80 |-Branch two: % 22.38/5.80 | (546) ~ (unit = e0) % 22.38/5.80 | (547) unit = e4 | unit = e3 | unit = e2 % 22.38/5.80 | % 22.38/5.80 +-Applying beta-rule and splitting (547), into two cases. % 22.38/5.80 |-Branch one: % 22.38/5.80 | (548) unit = e3 % 22.38/5.80 | % 22.38/5.80 | From (548) and (24) follows: % 22.38/5.80 | (1180) op(e3, e2) = e2 % 22.38/5.80 | % 22.38/5.80 | From (548) and (221) follows: % 22.38/5.80 | (550) op(e1, e3) = e1 % 22.38/5.80 | % 22.38/5.80 | From (548) and (67) follows: % 22.38/5.80 | (803) op(e0, e3) = e0 % 22.38/5.80 | % 22.38/5.80 | Instantiating formula (206) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields: % 22.38/5.80 | (409) e4 = e2 % 22.38/5.80 | % 22.38/5.80 | Instantiating formula (206) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 22.38/5.80 | (544) e2 = e1 % 22.38/5.80 | % 22.38/5.80 | Instantiating formula (206) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 22.38/5.80 | (481) e4 = e0 % 22.38/5.80 | % 22.38/5.80 | Combining equations (409,481) yields a new equation: % 22.38/5.80 | (568) e2 = e0 % 22.38/5.80 | % 22.38/5.80 | Simplifying 568 yields: % 22.38/5.80 | (569) e2 = e0 % 22.38/5.80 | % 22.38/5.80 | Combining equations (569,544) yields a new equation: % 22.38/5.80 | (297) e1 = e0 % 22.38/5.80 | % 22.38/5.80 | Equations (297) can reduce 231 to: % 22.38/5.80 | (298) $false % 22.38/5.80 | % 22.38/5.80 |-The branch is then unsatisfiable % 22.38/5.80 |-Branch two: % 22.38/5.80 | (555) ~ (unit = e3) % 22.38/5.80 | (556) unit = e4 | unit = e2 % 22.38/5.80 | % 22.38/5.80 +-Applying beta-rule and splitting (556), into two cases. % 22.38/5.80 |-Branch one: % 22.38/5.80 | (557) unit = e4 % 22.38/5.80 | % 22.38/5.80 | From (557) and (24) follows: % 22.38/5.80 | (558) op(e4, e2) = e2 % 22.38/5.80 | % 22.38/5.80 | From (557) and (60) follows: % 22.38/5.80 | (559) op(e4, e0) = e0 % 22.38/5.80 | % 22.38/5.80 | From (557) and (66) follows: % 22.38/5.80 | (811) op(e2, e4) = e2 % 22.38/5.80 | % 22.38/5.80 | Instantiating formula (206) with e4, e2, e2, e1 and discharging atoms op(e4, e2) = e2, op(e4, e2) = e1, yields: % 22.38/5.80 | (544) e2 = e1 % 22.38/5.80 | % 22.38/5.80 | Instantiating formula (206) with e4, e0, e0, e4 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 22.38/5.80 | (481) e4 = e0 % 22.38/5.80 | % 22.38/5.80 | Instantiating formula (206) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 22.38/5.80 | (409) e4 = e2 % 22.38/5.80 | % 22.38/5.80 | Combining equations (481,409) yields a new equation: % 22.38/5.80 | (569) e2 = e0 % 22.38/5.80 | % 22.38/5.80 | Combining equations (544,569) yields a new equation: % 22.38/5.80 | (296) e1 = e0 % 22.38/5.80 | % 22.38/5.80 | Simplifying 296 yields: % 22.38/5.80 | (297) e1 = e0 % 22.38/5.80 | % 22.38/5.81 | Equations (297) can reduce 231 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (573) ~ (unit = e4) % 22.38/5.81 | (574) unit = e2 % 22.38/5.81 | % 22.38/5.81 | From (574) and (143) follows: % 22.38/5.81 | (575) op(e2, e3) = e3 % 22.38/5.81 | % 22.38/5.81 | From (574) and (243) follows: % 22.38/5.81 | (576) op(e4, e2) = e4 % 22.38/5.81 | % 22.38/5.81 | From (574) and (74) follows: % 22.38/5.81 | (1207) op(e3, e2) = e3 % 22.38/5.81 | % 22.38/5.81 | From (574) and (66) follows: % 22.38/5.81 | (577) op(e2, e2) = e2 % 22.38/5.81 | % 22.38/5.81 | Instantiating formula (206) with e4, e2, e4, e1 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e1, yields: % 22.38/5.81 | (535) e4 = e1 % 22.38/5.81 | % 22.38/5.81 | Instantiating formula (206) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 22.38/5.81 | (392) e4 = e3 % 22.38/5.81 | % 22.38/5.81 | Instantiating formula (206) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields: % 22.38/5.81 | (534) e3 = e0 % 22.38/5.81 | % 22.38/5.81 | Instantiating formula (206) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 22.38/5.81 | (567) e3 = e2 % 22.38/5.81 | % 22.38/5.81 | Combining equations (535,392) yields a new equation: % 22.38/5.81 | (420) e3 = e1 % 22.38/5.81 | % 22.38/5.81 | Combining equations (534,567) yields a new equation: % 22.38/5.81 | (569) e2 = e0 % 22.38/5.81 | % 22.38/5.81 | Combining equations (420,567) yields a new equation: % 22.38/5.81 | (544) e2 = e1 % 22.38/5.81 | % 22.38/5.81 | Combining equations (544,569) yields a new equation: % 22.38/5.81 | (296) e1 = e0 % 22.38/5.81 | % 22.38/5.81 | Simplifying 296 yields: % 22.38/5.81 | (297) e1 = e0 % 22.38/5.81 | % 22.38/5.81 | Equations (297) can reduce 231 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (411) ~ (all_0_57_57 = e4) % 22.38/5.81 | (412) all_0_58_58 = e4 | all_0_60_60 = e4 % 22.38/5.81 | % 22.38/5.81 +-Applying beta-rule and splitting (484), into two cases. % 22.38/5.81 |-Branch one: % 22.38/5.81 | (1221) all_0_45_45 = e4 % 22.38/5.81 | % 22.38/5.81 | Combining equations (284,1221) yields a new equation: % 22.38/5.81 | (535) e4 = e1 % 22.38/5.81 | % 22.38/5.81 | Equations (535) can reduce 115 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (1224) ~ (all_0_45_45 = e4) % 22.38/5.81 | (1225) all_0_50_50 = e4 | all_0_57_57 = e4 % 22.38/5.81 | % 22.38/5.81 +-Applying beta-rule and splitting (1225), into two cases. % 22.38/5.81 |-Branch one: % 22.38/5.81 | (523) all_0_50_50 = e4 % 22.38/5.81 | % 22.38/5.81 | Combining equations (781,523) yields a new equation: % 22.38/5.81 | (481) e4 = e0 % 22.38/5.81 | % 22.38/5.81 | Equations (481) can reduce 47 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (596) ~ (all_0_50_50 = e4) % 22.38/5.81 | (407) all_0_57_57 = e4 % 22.38/5.81 | % 22.38/5.81 | Equations (407) can reduce 411 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (497) ~ (all_0_49_49 = e4) % 22.38/5.81 | (509) all_0_50_50 = e4 | all_0_52_52 = e4 % 22.38/5.81 | % 22.38/5.81 +-Applying beta-rule and splitting (509), into two cases. % 22.38/5.81 |-Branch one: % 22.38/5.81 | (523) all_0_50_50 = e4 % 22.38/5.81 | % 22.38/5.81 | Combining equations (781,523) yields a new equation: % 22.38/5.81 | (481) e4 = e0 % 22.38/5.81 | % 22.38/5.81 | Equations (481) can reduce 47 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (596) ~ (all_0_50_50 = e4) % 22.38/5.81 | (597) all_0_52_52 = e4 % 22.38/5.81 | % 22.38/5.81 | Combining equations (326,597) yields a new equation: % 22.38/5.81 | (535) e4 = e1 % 22.38/5.81 | % 22.38/5.81 | Equations (535) can reduce 115 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (661) ~ (all_0_50_50 = e0) % 22.38/5.81 | (1242) all_0_57_57 = e0 % 22.38/5.81 | % 22.38/5.81 | Equations (1242) can reduce 307 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (890) ~ (all_0_56_56 = e3) % 22.38/5.81 | (891) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 22.38/5.81 | % 22.38/5.81 +-Applying beta-rule and splitting (915), into two cases. % 22.38/5.81 |-Branch one: % 22.38/5.81 | (419) all_0_53_53 = e3 % 22.38/5.81 | % 22.38/5.81 | Combining equations (272,419) yields a new equation: % 22.38/5.81 | (420) e3 = e1 % 22.38/5.81 | % 22.38/5.81 | Equations (420) can reduce 214 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (422) ~ (all_0_53_53 = e3) % 22.38/5.81 | (376) all_0_56_56 = e3 % 22.38/5.81 | % 22.38/5.81 | Equations (376) can reduce 890 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (463) ~ (all_0_42_42 = e0) % 22.38/5.81 | (1253) all_0_43_43 = e0 % 22.38/5.81 | % 22.38/5.81 | Combining equations (1253,520) yields a new equation: % 22.38/5.81 | (481) e4 = e0 % 22.38/5.81 | % 22.38/5.81 | Equations (481) can reduce 47 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (425) ~ (all_0_40_40 = e3) % 22.38/5.81 | (1257) all_0_42_42 = e3 | all_0_43_43 = e3 % 22.38/5.81 | % 22.38/5.81 +-Applying beta-rule and splitting (109), into two cases. % 22.38/5.81 |-Branch one: % 22.38/5.81 | (747) all_0_40_40 = e1 % 22.38/5.81 | % 22.38/5.81 | Equations (747) can reduce 254 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (254) ~ (all_0_40_40 = e1) % 22.38/5.81 | (750) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e0 % 22.38/5.81 | % 22.38/5.81 +-Applying beta-rule and splitting (4), into two cases. % 22.38/5.81 |-Branch one: % 22.38/5.81 | (755) all_0_40_40 = e3 % 22.38/5.81 | % 22.38/5.81 | Equations (755) can reduce 425 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (425) ~ (all_0_40_40 = e3) % 22.38/5.81 | (1265) all_0_45_45 = e3 | all_0_54_54 = e3 | all_0_57_57 = e3 % 22.38/5.81 | % 22.38/5.81 +-Applying beta-rule and splitting (1265), into two cases. % 22.38/5.81 |-Branch one: % 22.38/5.81 | (1083) all_0_45_45 = e3 % 22.38/5.81 | % 22.38/5.81 | Combining equations (1083,284) yields a new equation: % 22.38/5.81 | (1084) e3 = e1 % 22.38/5.81 | % 22.38/5.81 | Simplifying 1084 yields: % 22.38/5.81 | (420) e3 = e1 % 22.38/5.81 | % 22.38/5.81 | Equations (420) can reduce 214 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (1087) ~ (all_0_45_45 = e3) % 22.38/5.81 | (1271) all_0_54_54 = e3 | all_0_57_57 = e3 % 22.38/5.81 | % 22.38/5.81 +-Applying beta-rule and splitting (1271), into two cases. % 22.38/5.81 |-Branch one: % 22.38/5.81 | (424) all_0_54_54 = e3 % 22.38/5.81 | % 22.38/5.81 | Combining equations (382,424) yields a new equation: % 22.38/5.81 | (567) e3 = e2 % 22.38/5.81 | % 22.38/5.81 | Equations (567) can reduce 213 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (875) ~ (all_0_54_54 = e3) % 22.38/5.81 | (902) all_0_57_57 = e3 % 22.38/5.81 | % 22.38/5.81 | Equations (902) can reduce 64 to: % 22.38/5.81 | (425) ~ (all_0_40_40 = e3) % 22.38/5.81 | % 22.38/5.81 +-Applying beta-rule and splitting (456), into two cases. % 22.38/5.81 |-Branch one: % 22.38/5.81 | (466) all_0_42_42 = e0 % 22.38/5.81 | % 22.38/5.81 | Equations (466) can reduce 204 to: % 22.38/5.81 | (745) ~ (all_0_40_40 = e0) % 22.38/5.81 | % 22.38/5.81 +-Applying beta-rule and splitting (750), into two cases. % 22.38/5.81 |-Branch one: % 22.38/5.81 | (461) all_0_40_40 = e0 % 22.38/5.81 | % 22.38/5.81 | Equations (461) can reduce 745 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (745) ~ (all_0_40_40 = e0) % 22.38/5.81 | (754) all_0_40_40 = e4 | all_0_40_40 = e3 % 22.38/5.81 | % 22.38/5.81 +-Applying beta-rule and splitting (754), into two cases. % 22.38/5.81 |-Branch one: % 22.38/5.81 | (755) all_0_40_40 = e3 % 22.38/5.81 | % 22.38/5.81 | Equations (755) can reduce 425 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (425) ~ (all_0_40_40 = e3) % 22.38/5.81 | (479) all_0_40_40 = e4 % 22.38/5.81 | % 22.38/5.81 | Equations (479) can reduce 483 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (463) ~ (all_0_42_42 = e0) % 22.38/5.81 | (469) all_0_42_42 = e3 % 22.38/5.81 | % 22.38/5.81 | Equations (469) can reduce 847 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (493) ~ (all_0_47_47 = e3) % 22.38/5.81 | (491) all_0_48_48 = e3 % 22.38/5.81 | % 22.38/5.81 | Combining equations (491,743) yields a new equation: % 22.38/5.81 | (877) e3 = e2 % 22.38/5.81 | % 22.38/5.81 | Simplifying 877 yields: % 22.38/5.81 | (567) e3 = e2 % 22.38/5.81 | % 22.38/5.81 | Equations (567) can reduce 213 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (503) ~ (all_0_44_44 = e0) % 22.38/5.81 | (504) all_0_49_49 = e0 | all_0_56_56 = e0 % 22.38/5.81 | % 22.38/5.81 +-Applying beta-rule and splitting (170), into two cases. % 22.38/5.81 |-Branch one: % 22.38/5.81 | (1299) all_0_44_44 = e1 % 22.38/5.81 | % 22.38/5.81 | Equations (1299) can reduce 273 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (273) ~ (all_0_44_44 = e1) % 22.38/5.81 | (1302) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e0 % 22.38/5.81 | % 22.38/5.81 +-Applying beta-rule and splitting (1302), into two cases. % 22.38/5.81 |-Branch one: % 22.38/5.81 | (500) all_0_44_44 = e0 % 22.38/5.81 | % 22.38/5.81 | Equations (500) can reduce 503 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (503) ~ (all_0_44_44 = e0) % 22.38/5.81 | (1306) all_0_44_44 = e4 | all_0_44_44 = e3 % 22.38/5.81 | % 22.38/5.81 +-Applying beta-rule and splitting (10), into two cases. % 22.38/5.81 |-Branch one: % 22.38/5.81 | (500) all_0_44_44 = e0 % 22.38/5.81 | % 22.38/5.81 | Equations (500) can reduce 503 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (503) ~ (all_0_44_44 = e0) % 22.38/5.81 | (1310) all_0_45_45 = e0 | all_0_47_47 = e0 | all_0_48_48 = e0 % 22.38/5.81 | % 22.38/5.81 +-Applying beta-rule and splitting (1310), into two cases. % 22.38/5.81 |-Branch one: % 22.38/5.81 | (295) all_0_45_45 = e0 % 22.38/5.81 | % 22.38/5.81 | Combining equations (295,284) yields a new equation: % 22.38/5.81 | (297) e1 = e0 % 22.38/5.81 | % 22.38/5.81 | Equations (297) can reduce 231 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (299) ~ (all_0_45_45 = e0) % 22.38/5.81 | (1315) all_0_47_47 = e0 | all_0_48_48 = e0 % 22.38/5.81 | % 22.38/5.81 +-Applying beta-rule and splitting (1315), into two cases. % 22.38/5.81 |-Branch one: % 22.38/5.81 | (525) all_0_47_47 = e0 % 22.38/5.81 | % 22.38/5.81 | Equations (525) can reduce 242 to: % 22.38/5.81 | (463) ~ (all_0_42_42 = e0) % 22.38/5.81 | % 22.38/5.81 | Equations (525) can reduce 98 to: % 22.38/5.81 | (503) ~ (all_0_44_44 = e0) % 22.38/5.81 | % 22.38/5.81 | Equations (525) can reduce 76 to: % 22.38/5.81 | (485) ~ (e4 = e0) % 22.38/5.81 | % 22.38/5.81 | Simplifying 485 yields: % 22.38/5.81 | (47) ~ (e4 = e0) % 22.38/5.81 | % 22.38/5.81 +-Applying beta-rule and splitting (212), into two cases. % 22.38/5.81 |-Branch one: % 22.38/5.81 | (461) all_0_40_40 = e0 % 22.38/5.81 | % 22.38/5.81 | Equations (461) can reduce 483 to: % 22.38/5.81 | (485) ~ (e4 = e0) % 22.38/5.81 | % 22.38/5.81 | Simplifying 485 yields: % 22.38/5.81 | (47) ~ (e4 = e0) % 22.38/5.81 | % 22.38/5.81 +-Applying beta-rule and splitting (1306), into two cases. % 22.38/5.81 |-Branch one: % 22.38/5.81 | (892) all_0_44_44 = e3 % 22.38/5.81 | % 22.38/5.81 | Equations (892) can reduce 205 to: % 22.38/5.81 | (1325) ~ (all_0_49_49 = e3) % 22.38/5.81 | % 22.38/5.81 | Simplifying 1325 yields: % 22.38/5.81 | (111) ~ (all_0_49_49 = e3) % 22.38/5.81 | % 22.38/5.81 | Equations (892) can reduce 195 to: % 22.38/5.81 | (1327) ~ (all_0_56_56 = e3) % 22.38/5.81 | % 22.38/5.81 | Simplifying 1327 yields: % 22.38/5.81 | (890) ~ (all_0_56_56 = e3) % 22.38/5.81 | % 22.38/5.81 | Equations (892) can reduce 610 to: % 22.38/5.81 | (472) ~ (e4 = e3) % 22.38/5.81 | % 22.38/5.81 | Simplifying 472 yields: % 22.38/5.81 | (184) ~ (e4 = e3) % 22.38/5.81 | % 22.38/5.81 | Equations (892) can reduce 503 to: % 22.38/5.81 | (84) ~ (e3 = e0) % 22.38/5.81 | % 22.38/5.81 | From (892) and (124) follows: % 22.38/5.81 | (561) op(e3, e4) = e3 % 22.38/5.81 | % 22.38/5.81 +-Applying beta-rule and splitting (23), into two cases. % 22.38/5.81 |-Branch one: % 22.38/5.81 | (755) all_0_40_40 = e3 % 22.38/5.81 | % 22.38/5.81 | Combining equations (755,461) yields a new equation: % 22.38/5.81 | (654) e3 = e0 % 22.38/5.81 | % 22.38/5.81 | Simplifying 654 yields: % 22.38/5.81 | (534) e3 = e0 % 22.38/5.81 | % 22.38/5.81 | Equations (534) can reduce 84 to: % 22.38/5.81 | (298) $false % 22.38/5.81 | % 22.38/5.81 |-The branch is then unsatisfiable % 22.38/5.81 |-Branch two: % 22.38/5.81 | (425) ~ (all_0_40_40 = e3) % 22.38/5.82 | (1257) all_0_42_42 = e3 | all_0_43_43 = e3 % 22.38/5.82 | % 22.38/5.82 +-Applying beta-rule and splitting (251), into two cases. % 22.38/5.82 |-Branch one: % 22.38/5.82 | (469) all_0_42_42 = e3 % 22.38/5.82 | % 22.38/5.82 | Equations (469) can reduce 247 to: % 22.38/5.82 | (472) ~ (e4 = e3) % 22.38/5.82 | % 22.38/5.82 | Simplifying 472 yields: % 22.38/5.82 | (184) ~ (e4 = e3) % 22.38/5.82 | % 22.38/5.82 | Equations (469) can reduce 256 to: % 22.38/5.82 | (214) ~ (e3 = e1) % 22.38/5.82 | % 22.38/5.82 | From (469) and (2) follows: % 22.38/5.82 | (474) op(e4, e1) = e3 % 22.38/5.82 | % 22.38/5.82 +-Applying beta-rule and splitting (129), into two cases. % 22.38/5.82 |-Branch one: % 22.38/5.82 | (637) all_0_49_49 = e0 % 22.38/5.82 | % 22.38/5.82 | Equations (637) can reduce 189 to: % 22.38/5.82 | (660) ~ (all_0_50_50 = e0) % 22.38/5.82 | % 22.38/5.82 | Simplifying 660 yields: % 22.38/5.82 | (661) ~ (all_0_50_50 = e0) % 22.38/5.82 | % 22.38/5.82 | Equations (637) can reduce 111 to: % 22.38/5.82 | (620) ~ (e3 = e0) % 22.38/5.82 | % 22.38/5.82 | Simplifying 620 yields: % 22.38/5.82 | (84) ~ (e3 = e0) % 22.38/5.82 | % 22.38/5.82 | Equations (637) can reduce 329 to: % 22.38/5.82 | (526) ~ (e1 = e0) % 22.38/5.82 | % 22.38/5.82 | Simplifying 526 yields: % 22.38/5.82 | (231) ~ (e1 = e0) % 22.38/5.82 | % 22.38/5.82 | From (637) and (110) follows: % 22.38/5.82 | (1351) op(e2, e4) = e0 % 22.38/5.82 | % 22.38/5.82 +-Applying beta-rule and splitting (63), into two cases. % 22.38/5.82 |-Branch one: % 22.38/5.82 | (495) all_0_44_44 = e4 % 22.38/5.82 | % 22.38/5.82 | Combining equations (495,892) yields a new equation: % 22.38/5.82 | (391) e4 = e3 % 22.38/5.82 | % 22.38/5.82 | Simplifying 391 yields: % 22.38/5.82 | (392) e4 = e3 % 22.38/5.82 | % 22.38/5.82 | Equations (392) can reduce 184 to: % 22.38/5.82 | (298) $false % 22.38/5.82 | % 22.38/5.82 |-The branch is then unsatisfiable % 22.38/5.82 |-Branch two: % 22.38/5.82 | (610) ~ (all_0_44_44 = e4) % 22.38/5.82 | (615) all_0_49_49 = e4 | all_0_56_56 = e4 % 22.38/5.82 | % 22.38/5.82 +-Applying beta-rule and splitting (226), into two cases. % 22.38/5.82 |-Branch one: % 22.38/5.82 | (506) all_0_49_49 = e4 % 22.38/5.82 | % 22.38/5.82 | Combining equations (637,506) yields a new equation: % 22.38/5.82 | (481) e4 = e0 % 22.38/5.82 | % 22.38/5.82 | Equations (481) can reduce 47 to: % 22.38/5.82 | (298) $false % 22.38/5.82 | % 22.38/5.82 |-The branch is then unsatisfiable % 22.38/5.82 |-Branch two: % 22.38/5.82 | (497) ~ (all_0_49_49 = e4) % 22.38/5.82 | (509) all_0_50_50 = e4 | all_0_52_52 = e4 % 22.38/5.82 | % 22.38/5.82 +-Applying beta-rule and splitting (96), into two cases. % 22.38/5.82 |-Branch one: % 22.38/5.82 | (376) all_0_56_56 = e3 % 22.38/5.82 | % 22.38/5.82 | Equations (376) can reduce 890 to: % 22.38/5.82 | (298) $false % 22.38/5.82 | % 22.38/5.82 |-The branch is then unsatisfiable % 22.38/5.82 |-Branch two: % 22.38/5.82 | (890) ~ (all_0_56_56 = e3) % 22.38/5.82 | (891) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 22.38/5.82 | % 22.38/5.82 +-Applying beta-rule and splitting (4), into two cases. % 22.38/5.82 |-Branch one: % 22.38/5.82 | (755) all_0_40_40 = e3 % 22.38/5.82 | % 22.38/5.82 | Combining equations (755,461) yields a new equation: % 22.38/5.82 | (654) e3 = e0 % 22.38/5.82 | % 22.38/5.82 | Simplifying 654 yields: % 22.38/5.82 | (534) e3 = e0 % 22.38/5.82 | % 22.38/5.82 | Equations (534) can reduce 84 to: % 22.38/5.82 | (298) $false % 22.38/5.82 | % 22.38/5.82 |-The branch is then unsatisfiable % 22.38/5.82 |-Branch two: % 22.38/5.82 | (425) ~ (all_0_40_40 = e3) % 22.38/5.82 | (1265) all_0_45_45 = e3 | all_0_54_54 = e3 | all_0_57_57 = e3 % 22.38/5.82 | % 22.38/5.82 | Equations (461) can reduce 425 to: % 22.38/5.82 | (620) ~ (e3 = e0) % 22.38/5.82 | % 22.38/5.82 | Simplifying 620 yields: % 22.38/5.82 | (84) ~ (e3 = e0) % 22.38/5.82 | % 22.38/5.82 +-Applying beta-rule and splitting (160), into two cases. % 22.38/5.82 |-Branch one: % 22.38/5.82 | (771) all_0_50_50 = e1 % 22.38/5.82 | % 22.38/5.82 | Equations (771) can reduce 330 to: % 22.38/5.82 | (298) $false % 22.38/5.82 | % 22.38/5.82 |-The branch is then unsatisfiable % 22.38/5.82 |-Branch two: % 22.38/5.82 | (330) ~ (all_0_50_50 = e1) % 22.38/5.82 | (774) all_0_50_50 = e4 | all_0_50_50 = e2 | all_0_50_50 = e0 % 22.38/5.82 | % 22.38/5.82 +-Applying beta-rule and splitting (774), into two cases. % 22.38/5.82 |-Branch one: % 22.38/5.82 | (781) all_0_50_50 = e0 % 22.38/5.82 | % 22.38/5.82 | Equations (781) can reduce 661 to: % 22.38/5.82 | (298) $false % 22.38/5.82 | % 22.38/5.82 |-The branch is then unsatisfiable % 22.38/5.82 |-Branch two: % 22.38/5.82 | (661) ~ (all_0_50_50 = e0) % 22.38/5.82 | (834) all_0_50_50 = e4 | all_0_50_50 = e2 % 22.38/5.82 | % 22.38/5.82 +-Applying beta-rule and splitting (509), into two cases. % 22.38/5.82 |-Branch one: % 22.38/5.82 | (523) all_0_50_50 = e4 % 22.38/5.82 | % 22.38/5.82 | Equations (523) can reduce 661 to: % 22.38/5.82 | (47) ~ (e4 = e0) % 22.38/5.82 | % 22.38/5.82 | From (523) and (207) follows: % 22.62/5.82 | (524) op(e2, e3) = e4 % 22.62/5.82 | % 22.62/5.82 +-Applying beta-rule and splitting (237), into two cases. % 22.62/5.82 |-Branch one: % 22.62/5.82 | (390) all_0_56_56 = e4 % 22.62/5.82 | % 22.62/5.82 | From (390) and (48) follows: % 22.62/5.82 | (1387) op(e0, e4) = e4 % 22.62/5.82 | % 22.62/5.82 +-Applying beta-rule and splitting (891), into two cases. % 22.62/5.82 |-Branch one: % 22.62/5.82 | (902) all_0_57_57 = e3 % 22.62/5.82 | % 22.62/5.82 | From (902) and (150) follows: % 22.62/5.82 | (1389) op(e0, e3) = e3 % 22.62/5.82 | % 22.62/5.82 +-Applying beta-rule and splitting (55), into two cases. % 22.62/5.82 |-Branch one: % 22.62/5.82 | (529) unit = e1 % 22.62/5.82 | % 22.62/5.82 | From (529) and (60) follows: % 22.62/5.82 | (1391) op(e1, e0) = e0 % 22.62/5.82 | % 22.62/5.82 | From (529) and (243) follows: % 22.62/5.82 | (530) op(e4, e1) = e4 % 22.62/5.82 | % 22.62/5.82 | From (529) and (221) follows: % 22.62/5.82 | (532) op(e1, e1) = e1 % 22.62/5.82 | % 22.62/5.82 | Instantiating formula (206) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 22.62/5.82 | (392) e4 = e3 % 22.62/5.82 | % 22.62/5.82 | Instantiating formula (206) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 22.62/5.82 | (535) e4 = e1 % 22.62/5.82 | % 22.62/5.82 | Instantiating formula (206) with e1, e0, e0, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e0, yields: % 22.62/5.82 | (534) e3 = e0 % 22.62/5.82 | % 22.62/5.82 | Combining equations (535,392) yields a new equation: % 22.62/5.82 | (420) e3 = e1 % 22.62/5.82 | % 22.62/5.82 | Combining equations (420,534) yields a new equation: % 22.62/5.82 | (296) e1 = e0 % 22.62/5.82 | % 22.62/5.82 | Simplifying 296 yields: % 22.62/5.82 | (297) e1 = e0 % 22.62/5.82 | % 22.62/5.82 | Equations (297) can reduce 231 to: % 22.62/5.82 | (298) $false % 22.62/5.82 | % 22.62/5.82 |-The branch is then unsatisfiable % 22.62/5.82 |-Branch two: % 22.62/5.82 | (540) ~ (unit = e1) % 22.62/5.82 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 22.62/5.82 | % 22.62/5.82 +-Applying beta-rule and splitting (541), into two cases. % 22.62/5.82 |-Branch one: % 22.62/5.82 | (542) unit = e0 % 22.62/5.82 | % 22.62/5.82 | From (542) and (74) follows: % 22.62/5.82 | (494) op(e3, e0) = e3 % 22.62/5.82 | % 22.62/5.82 | From (542) and (221) follows: % 22.62/5.82 | (543) op(e1, e0) = e1 % 22.62/5.82 | % 22.62/5.82 | Instantiating formula (206) with e3, e0, e3, e2 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e2, yields: % 22.62/5.82 | (567) e3 = e2 % 22.62/5.82 | % 22.62/5.82 | Instantiating formula (206) with e1, e0, e1, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e1, yields: % 22.62/5.82 | (420) e3 = e1 % 22.62/5.82 | % 22.62/5.82 | Combining equations (567,420) yields a new equation: % 22.62/5.82 | (887) e2 = e1 % 22.62/5.82 | % 22.62/5.82 | Simplifying 887 yields: % 22.62/5.82 | (544) e2 = e1 % 22.62/5.82 | % 22.62/5.82 | Equations (544) can reduce 134 to: % 22.62/5.82 | (298) $false % 22.62/5.82 | % 22.62/5.82 |-The branch is then unsatisfiable % 22.62/5.82 |-Branch two: % 22.62/5.82 | (546) ~ (unit = e0) % 22.62/5.82 | (547) unit = e4 | unit = e3 | unit = e2 % 22.62/5.82 | % 22.62/5.82 +-Applying beta-rule and splitting (547), into two cases. % 22.62/5.82 |-Branch one: % 22.62/5.82 | (548) unit = e3 % 22.62/5.82 | % 22.62/5.82 | From (548) and (162) follows: % 22.62/5.82 | (499) op(e3, e4) = e4 % 22.62/5.82 | % 22.62/5.82 | From (548) and (66) follows: % 22.62/5.82 | (1415) op(e2, e3) = e2 % 22.62/5.82 | % 22.62/5.82 | From (548) and (221) follows: % 22.62/5.82 | (550) op(e1, e3) = e1 % 22.62/5.82 | % 22.62/5.82 | From (548) and (67) follows: % 22.62/5.82 | (803) op(e0, e3) = e0 % 22.62/5.82 | % 22.62/5.82 | Instantiating formula (206) with e3, e4, e4, e3 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e3, yields: % 22.62/5.82 | (392) e4 = e3 % 22.62/5.82 | % 22.62/5.82 | Instantiating formula (206) with e2, e3, e2, e4 and discharging atoms op(e2, e3) = e4, op(e2, e3) = e2, yields: % 22.62/5.82 | (409) e4 = e2 % 22.62/5.82 | % 22.62/5.82 | Instantiating formula (206) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 22.62/5.82 | (544) e2 = e1 % 22.62/5.82 | % 22.62/5.82 | Instantiating formula (206) with e0, e3, e0, e3 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields: % 22.62/5.82 | (534) e3 = e0 % 22.62/5.82 | % 22.62/5.82 | Combining equations (392,409) yields a new equation: % 22.62/5.82 | (877) e3 = e2 % 22.62/5.82 | % 22.62/5.82 | Simplifying 877 yields: % 22.62/5.82 | (567) e3 = e2 % 22.62/5.82 | % 22.62/5.82 | Combining equations (567,534) yields a new equation: % 22.62/5.82 | (568) e2 = e0 % 22.62/5.82 | % 22.62/5.82 | Simplifying 568 yields: % 22.62/5.82 | (569) e2 = e0 % 22.62/5.82 | % 22.62/5.82 | Combining equations (544,569) yields a new equation: % 22.62/5.82 | (296) e1 = e0 % 22.62/5.82 | % 22.62/5.82 | Simplifying 296 yields: % 22.62/5.82 | (297) e1 = e0 % 22.62/5.82 | % 22.62/5.82 | Equations (297) can reduce 231 to: % 22.62/5.82 | (298) $false % 22.62/5.82 | % 22.62/5.82 |-The branch is then unsatisfiable % 22.62/5.82 |-Branch two: % 22.62/5.82 | (555) ~ (unit = e3) % 22.62/5.82 | (556) unit = e4 | unit = e2 % 22.62/5.82 | % 22.62/5.82 +-Applying beta-rule and splitting (556), into two cases. % 22.62/5.82 |-Branch one: % 22.62/5.82 | (557) unit = e4 % 22.62/5.82 | % 22.62/5.82 | From (557) and (24) follows: % 22.62/5.82 | (558) op(e4, e2) = e2 % 22.62/5.82 | % 22.62/5.82 | From (557) and (243) follows: % 22.62/5.82 | (560) op(e4, e4) = e4 % 22.62/5.82 | % 22.62/5.82 | From (557) and (67) follows: % 22.62/5.82 | (812) op(e0, e4) = e0 % 22.62/5.82 | % 22.62/5.82 | Instantiating formula (206) with e4, e4, e4, e2 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e2, yields: % 22.62/5.82 | (409) e4 = e2 % 22.62/5.82 | % 22.62/5.82 | Instantiating formula (206) with e4, e2, e2, e1 and discharging atoms op(e4, e2) = e2, op(e4, e2) = e1, yields: % 22.62/5.82 | (544) e2 = e1 % 22.62/5.82 | % 22.62/5.82 | Instantiating formula (206) with e0, e4, e0, e4 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e0, yields: % 22.62/5.82 | (481) e4 = e0 % 22.62/5.82 | % 22.62/5.82 | Combining equations (481,409) yields a new equation: % 22.62/5.82 | (569) e2 = e0 % 22.62/5.82 | % 22.62/5.82 | Combining equations (544,569) yields a new equation: % 22.62/5.82 | (296) e1 = e0 % 22.62/5.82 | % 22.62/5.82 | Simplifying 296 yields: % 22.62/5.82 | (297) e1 = e0 % 22.62/5.82 | % 22.62/5.82 | Equations (297) can reduce 231 to: % 22.62/5.82 | (298) $false % 22.62/5.82 | % 22.62/5.82 |-The branch is then unsatisfiable % 22.62/5.82 |-Branch two: % 22.62/5.82 | (573) ~ (unit = e4) % 22.62/5.82 | (574) unit = e2 % 22.62/5.82 | % 22.62/5.82 | From (574) and (162) follows: % 22.62/5.82 | (767) op(e2, e4) = e4 % 22.62/5.82 | % 22.62/5.82 | From (574) and (143) follows: % 22.62/5.82 | (575) op(e2, e3) = e3 % 22.62/5.82 | % 22.62/5.82 | From (574) and (100) follows: % 22.62/5.82 | (825) op(e2, e1) = e1 % 22.62/5.82 | % 22.62/5.82 | From (574) and (66) follows: % 22.62/5.82 | (577) op(e2, e2) = e2 % 22.62/5.82 | % 22.62/5.82 | Instantiating formula (206) with e2, e4, e4, e0 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e0, yields: % 22.62/5.82 | (481) e4 = e0 % 22.62/5.82 | % 22.62/5.82 | Instantiating formula (206) with e2, e3, e3, e4 and discharging atoms op(e2, e3) = e4, op(e2, e3) = e3, yields: % 22.62/5.82 | (392) e4 = e3 % 22.62/5.82 | % 22.62/5.82 | Instantiating formula (206) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 22.62/5.82 | (567) e3 = e2 % 22.62/5.82 | % 22.62/5.82 | Instantiating formula (206) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 22.62/5.82 | (544) e2 = e1 % 22.62/5.82 | % 22.62/5.82 | Combining equations (392,481) yields a new equation: % 22.62/5.82 | (654) e3 = e0 % 22.62/5.82 | % 22.62/5.82 | Simplifying 654 yields: % 22.62/5.82 | (534) e3 = e0 % 22.62/5.82 | % 22.62/5.82 | Combining equations (534,567) yields a new equation: % 22.62/5.82 | (569) e2 = e0 % 22.62/5.82 | % 22.62/5.82 | Combining equations (544,569) yields a new equation: % 22.62/5.82 | (296) e1 = e0 % 22.62/5.82 | % 22.62/5.82 | Simplifying 296 yields: % 22.62/5.82 | (297) e1 = e0 % 22.62/5.82 | % 22.62/5.82 | Equations (297) can reduce 231 to: % 22.62/5.82 | (298) $false % 22.62/5.82 | % 22.62/5.82 |-The branch is then unsatisfiable % 22.62/5.82 |-Branch two: % 22.62/5.82 | (905) ~ (all_0_57_57 = e3) % 22.62/5.82 | (906) all_0_59_59 = e3 | all_0_60_60 = e3 % 22.62/5.82 | % 22.62/5.82 +-Applying beta-rule and splitting (906), into two cases. % 22.62/5.82 |-Branch one: % 22.62/5.82 | (907) all_0_59_59 = e3 % 22.62/5.82 | % 22.62/5.82 | Combining equations (341,907) yields a new equation: % 22.62/5.82 | (420) e3 = e1 % 22.62/5.82 | % 22.62/5.82 | Equations (420) can reduce 214 to: % 22.62/5.82 | (298) $false % 22.62/5.82 | % 22.62/5.82 |-The branch is then unsatisfiable % 22.62/5.82 |-Branch two: % 22.62/5.82 | (910) ~ (all_0_59_59 = e3) % 22.62/5.82 | (911) all_0_60_60 = e3 % 22.62/5.82 | % 22.62/5.82 | Combining equations (911,300) yields a new equation: % 22.62/5.82 | (654) e3 = e0 % 22.62/5.82 | % 22.62/5.82 | Simplifying 654 yields: % 22.62/5.82 | (534) e3 = e0 % 22.62/5.82 | % 22.62/5.82 | Equations (534) can reduce 84 to: % 22.62/5.82 | (298) $false % 22.62/5.82 | % 22.62/5.82 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (394) ~ (all_0_56_56 = e4) % 22.62/5.83 | (395) all_0_57_57 = e4 | all_0_58_58 = e4 | all_0_60_60 = e4 % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (615), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (506) all_0_49_49 = e4 % 22.62/5.83 | % 22.62/5.83 | Combining equations (506,637) yields a new equation: % 22.62/5.83 | (480) e4 = e0 % 22.62/5.83 | % 22.62/5.83 | Simplifying 480 yields: % 22.62/5.83 | (481) e4 = e0 % 22.62/5.83 | % 22.62/5.83 | Equations (481) can reduce 47 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (497) ~ (all_0_49_49 = e4) % 22.62/5.83 | (390) all_0_56_56 = e4 % 22.62/5.83 | % 22.62/5.83 | Equations (390) can reduce 394 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (596) ~ (all_0_50_50 = e4) % 22.62/5.83 | (597) all_0_52_52 = e4 % 22.62/5.83 | % 22.62/5.83 | Combining equations (326,597) yields a new equation: % 22.62/5.83 | (535) e4 = e1 % 22.62/5.83 | % 22.62/5.83 | Equations (535) can reduce 115 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (652) ~ (all_0_49_49 = e0) % 22.62/5.83 | (682) all_0_50_50 = e0 | all_0_51_51 = e0 | all_0_52_52 = e0 % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (460), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (637) all_0_49_49 = e0 % 22.62/5.83 | % 22.62/5.83 | Equations (637) can reduce 652 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (652) ~ (all_0_49_49 = e0) % 22.62/5.83 | (506) all_0_49_49 = e4 % 22.62/5.83 | % 22.62/5.83 | Equations (506) can reduce 652 to: % 22.62/5.83 | (47) ~ (e4 = e0) % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (125), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (479) all_0_40_40 = e4 % 22.62/5.83 | % 22.62/5.83 | Combining equations (479,461) yields a new equation: % 22.62/5.83 | (480) e4 = e0 % 22.62/5.83 | % 22.62/5.83 | Simplifying 480 yields: % 22.62/5.83 | (481) e4 = e0 % 22.62/5.83 | % 22.62/5.83 | Equations (481) can reduce 47 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (483) ~ (all_0_40_40 = e4) % 22.62/5.83 | (484) all_0_45_45 = e4 | all_0_50_50 = e4 | all_0_57_57 = e4 % 22.62/5.83 | % 22.62/5.83 | Equations (461) can reduce 483 to: % 22.62/5.83 | (485) ~ (e4 = e0) % 22.62/5.83 | % 22.62/5.83 | Simplifying 485 yields: % 22.62/5.83 | (47) ~ (e4 = e0) % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (70), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (314) all_0_56_56 = e1 % 22.62/5.83 | % 22.62/5.83 | Equations (314) can reduce 279 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (279) ~ (all_0_56_56 = e1) % 22.62/5.83 | (1499) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0 % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (1499), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (653) all_0_56_56 = e0 % 22.62/5.83 | % 22.62/5.83 | Equations (653) can reduce 306 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (306) ~ (all_0_56_56 = e0) % 22.62/5.83 | (1503) all_0_56_56 = e4 | all_0_56_56 = e3 % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (504), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (637) all_0_49_49 = e0 % 22.62/5.83 | % 22.62/5.83 | Combining equations (506,637) yields a new equation: % 22.62/5.83 | (480) e4 = e0 % 22.62/5.83 | % 22.62/5.83 | Simplifying 480 yields: % 22.62/5.83 | (481) e4 = e0 % 22.62/5.83 | % 22.62/5.83 | Equations (481) can reduce 47 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (652) ~ (all_0_49_49 = e0) % 22.62/5.83 | (653) all_0_56_56 = e0 % 22.62/5.83 | % 22.62/5.83 | Equations (653) can reduce 306 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (847) ~ (all_0_42_42 = e3) % 22.62/5.83 | (1512) all_0_47_47 = e3 | all_0_59_59 = e3 % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (1257), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (469) all_0_42_42 = e3 % 22.62/5.83 | % 22.62/5.83 | Equations (469) can reduce 847 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (847) ~ (all_0_42_42 = e3) % 22.62/5.83 | (475) all_0_43_43 = e3 % 22.62/5.83 | % 22.62/5.83 | Combining equations (475,520) yields a new equation: % 22.62/5.83 | (392) e4 = e3 % 22.62/5.83 | % 22.62/5.83 | Equations (392) can reduce 184 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (914) ~ (all_0_44_44 = e3) % 22.62/5.83 | (495) all_0_44_44 = e4 % 22.62/5.83 | % 22.62/5.83 | Equations (495) can reduce 610 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (745) ~ (all_0_40_40 = e0) % 22.62/5.83 | (746) all_0_42_42 = e0 | all_0_43_43 = e0 % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (163), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (892) all_0_44_44 = e3 % 22.62/5.83 | % 22.62/5.83 | Equations (892) can reduce 610 to: % 22.62/5.83 | (472) ~ (e4 = e3) % 22.62/5.83 | % 22.62/5.83 | Simplifying 472 yields: % 22.62/5.83 | (184) ~ (e4 = e3) % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (251), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (469) all_0_42_42 = e3 % 22.62/5.83 | % 22.62/5.83 | Equations (469) can reduce 463 to: % 22.62/5.83 | (84) ~ (e3 = e0) % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (746), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (466) all_0_42_42 = e0 % 22.62/5.83 | % 22.62/5.83 | Combining equations (466,469) yields a new equation: % 22.62/5.83 | (534) e3 = e0 % 22.62/5.83 | % 22.62/5.83 | Equations (534) can reduce 84 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (463) ~ (all_0_42_42 = e0) % 22.62/5.83 | (1253) all_0_43_43 = e0 % 22.62/5.83 | % 22.62/5.83 | Combining equations (1253,520) yields a new equation: % 22.62/5.83 | (481) e4 = e0 % 22.62/5.83 | % 22.62/5.83 | Equations (481) can reduce 47 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (847) ~ (all_0_42_42 = e3) % 22.62/5.83 | (1512) all_0_47_47 = e3 | all_0_59_59 = e3 % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (23), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (755) all_0_40_40 = e3 % 22.62/5.83 | % 22.62/5.83 | Equations (755) can reduce 204 to: % 22.62/5.83 | (1539) ~ (all_0_42_42 = e3) % 22.62/5.83 | % 22.62/5.83 | Simplifying 1539 yields: % 22.62/5.83 | (847) ~ (all_0_42_42 = e3) % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (456), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (466) all_0_42_42 = e0 % 22.62/5.83 | % 22.62/5.83 | Equations (466) can reduce 463 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (463) ~ (all_0_42_42 = e0) % 22.62/5.83 | (469) all_0_42_42 = e3 % 22.62/5.83 | % 22.62/5.83 | Equations (469) can reduce 847 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (425) ~ (all_0_40_40 = e3) % 22.62/5.83 | (1257) all_0_42_42 = e3 | all_0_43_43 = e3 % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (63), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (495) all_0_44_44 = e4 % 22.62/5.83 | % 22.62/5.83 | Combining equations (495,892) yields a new equation: % 22.62/5.83 | (391) e4 = e3 % 22.62/5.83 | % 22.62/5.83 | Simplifying 391 yields: % 22.62/5.83 | (392) e4 = e3 % 22.62/5.83 | % 22.62/5.83 | Equations (392) can reduce 184 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (610) ~ (all_0_44_44 = e4) % 22.62/5.83 | (615) all_0_49_49 = e4 | all_0_56_56 = e4 % 22.62/5.83 | % 22.62/5.83 | Equations (892) can reduce 610 to: % 22.62/5.83 | (472) ~ (e4 = e3) % 22.62/5.83 | % 22.62/5.83 | Simplifying 472 yields: % 22.62/5.83 | (184) ~ (e4 = e3) % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (1257), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (469) all_0_42_42 = e3 % 22.62/5.83 | % 22.62/5.83 | Equations (469) can reduce 847 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (847) ~ (all_0_42_42 = e3) % 22.62/5.83 | (475) all_0_43_43 = e3 % 22.62/5.83 | % 22.62/5.83 | Combining equations (475,520) yields a new equation: % 22.62/5.83 | (392) e4 = e3 % 22.62/5.83 | % 22.62/5.83 | Equations (392) can reduce 184 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (914) ~ (all_0_44_44 = e3) % 22.62/5.83 | (1082) all_0_45_45 = e3 | all_0_47_47 = e3 | all_0_48_48 = e3 % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (23), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (755) all_0_40_40 = e3 % 22.62/5.83 | % 22.62/5.83 | Equations (755) can reduce 246 to: % 22.62/5.83 | (213) ~ (e3 = e2) % 22.62/5.83 | % 22.62/5.83 | Equations (755) can reduce 254 to: % 22.62/5.83 | (214) ~ (e3 = e1) % 22.62/5.83 | % 22.62/5.83 | Equations (755) can reduce 745 to: % 22.62/5.83 | (84) ~ (e3 = e0) % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (1082), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (1083) all_0_45_45 = e3 % 22.62/5.83 | % 22.62/5.83 | Combining equations (1083,284) yields a new equation: % 22.62/5.83 | (1084) e3 = e1 % 22.62/5.83 | % 22.62/5.83 | Simplifying 1084 yields: % 22.62/5.83 | (420) e3 = e1 % 22.62/5.83 | % 22.62/5.83 | Equations (420) can reduce 214 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (1087) ~ (all_0_45_45 = e3) % 22.62/5.83 | (1088) all_0_47_47 = e3 | all_0_48_48 = e3 % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (1088), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (591) all_0_47_47 = e3 % 22.62/5.83 | % 22.62/5.83 | Combining equations (591,525) yields a new equation: % 22.62/5.83 | (654) e3 = e0 % 22.62/5.83 | % 22.62/5.83 | Simplifying 654 yields: % 22.62/5.83 | (534) e3 = e0 % 22.62/5.83 | % 22.62/5.83 | Equations (534) can reduce 84 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (493) ~ (all_0_47_47 = e3) % 22.62/5.83 | (491) all_0_48_48 = e3 % 22.62/5.83 | % 22.62/5.83 | Combining equations (491,743) yields a new equation: % 22.62/5.83 | (877) e3 = e2 % 22.62/5.83 | % 22.62/5.83 | Simplifying 877 yields: % 22.62/5.83 | (567) e3 = e2 % 22.62/5.83 | % 22.62/5.83 | Equations (567) can reduce 213 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (425) ~ (all_0_40_40 = e3) % 22.62/5.83 | (1257) all_0_42_42 = e3 | all_0_43_43 = e3 % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (109), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (747) all_0_40_40 = e1 % 22.62/5.83 | % 22.62/5.83 | Equations (747) can reduce 254 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (254) ~ (all_0_40_40 = e1) % 22.62/5.83 | (750) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e0 % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (750), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (461) all_0_40_40 = e0 % 22.62/5.83 | % 22.62/5.83 | Equations (461) can reduce 745 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (745) ~ (all_0_40_40 = e0) % 22.62/5.83 | (754) all_0_40_40 = e4 | all_0_40_40 = e3 % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (754), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (755) all_0_40_40 = e3 % 22.62/5.83 | % 22.62/5.83 | Equations (755) can reduce 425 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (425) ~ (all_0_40_40 = e3) % 22.62/5.83 | (479) all_0_40_40 = e4 % 22.62/5.83 | % 22.62/5.83 | Equations (479) can reduce 483 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (589) ~ (all_0_47_47 = e0) % 22.62/5.83 | (717) all_0_48_48 = e0 % 22.62/5.83 | % 22.62/5.83 | Combining equations (743,717) yields a new equation: % 22.62/5.83 | (568) e2 = e0 % 22.62/5.83 | % 22.62/5.83 | Simplifying 568 yields: % 22.62/5.83 | (569) e2 = e0 % 22.62/5.83 | % 22.62/5.83 | Equations (569) can reduce 139 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (1603) ~ (all_0_55_55 = e3) % 22.62/5.83 | (385) all_0_55_55 = e2 % 22.62/5.83 | % 22.62/5.83 | Equations (385) can reduce 968 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (885) ~ (all_0_51_51 = e2) % 22.62/5.83 | (886) all_0_59_59 = e2 % 22.62/5.83 | % 22.62/5.83 | Combining equations (341,886) yields a new equation: % 22.62/5.83 | (544) e2 = e1 % 22.62/5.83 | % 22.62/5.83 | Equations (544) can reduce 134 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (363) ~ (all_0_48_48 = e2) % 22.62/5.83 | (927) all_0_52_52 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (155), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (948) all_0_45_45 = e2 % 22.62/5.83 | % 22.62/5.83 | Combining equations (284,948) yields a new equation: % 22.62/5.83 | (544) e2 = e1 % 22.62/5.83 | % 22.62/5.83 | Equations (544) can reduce 134 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (951) ~ (all_0_45_45 = e2) % 22.62/5.83 | (1616) all_0_46_46 = e2 | all_0_47_47 = e2 | all_0_48_48 = e2 % 22.62/5.83 | % 22.62/5.83 | Equations (284) can reduce 951 to: % 22.62/5.83 | (263) ~ (e2 = e1) % 22.62/5.83 | % 22.62/5.83 | Simplifying 263 yields: % 22.62/5.83 | (134) ~ (e2 = e1) % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (28), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (1029) all_0_55_55 = e1 % 22.62/5.83 | % 22.62/5.83 | Equations (1029) can reduce 277 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (277) ~ (all_0_55_55 = e1) % 22.62/5.83 | (1032) all_0_55_55 = e3 | all_0_55_55 = e2 % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (1032), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (876) all_0_55_55 = e3 % 22.62/5.83 | % 22.62/5.83 | Equations (876) can reduce 968 to: % 22.62/5.83 | (213) ~ (e3 = e2) % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (927), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (938) all_0_52_52 = e2 % 22.62/5.83 | % 22.62/5.83 | Combining equations (326,938) yields a new equation: % 22.62/5.83 | (544) e2 = e1 % 22.62/5.83 | % 22.62/5.83 | Equations (544) can reduce 134 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (941) ~ (all_0_52_52 = e2) % 22.62/5.83 | (942) all_0_55_55 = e2 | all_0_60_60 = e2 % 22.62/5.83 | % 22.62/5.83 +-Applying beta-rule and splitting (942), into two cases. % 22.62/5.83 |-Branch one: % 22.62/5.83 | (385) all_0_55_55 = e2 % 22.62/5.83 | % 22.62/5.83 | Combining equations (876,385) yields a new equation: % 22.62/5.83 | (877) e3 = e2 % 22.62/5.83 | % 22.62/5.83 | Simplifying 877 yields: % 22.62/5.83 | (567) e3 = e2 % 22.62/5.83 | % 22.62/5.83 | Equations (567) can reduce 213 to: % 22.62/5.83 | (298) $false % 22.62/5.83 | % 22.62/5.83 |-The branch is then unsatisfiable % 22.62/5.83 |-Branch two: % 22.62/5.83 | (968) ~ (all_0_55_55 = e2) % 22.62/5.83 | (964) all_0_60_60 = e2 % 22.62/5.83 | % 22.62/5.83 | Combining equations (964,300) yields a new equation: % 22.62/5.83 | (568) e2 = e0 % 22.62/5.83 | % 22.62/5.83 | Simplifying 568 yields: % 22.62/5.83 | (569) e2 = e0 % 22.62/5.84 | % 22.62/5.84 | Equations (569) can reduce 139 to: % 22.62/5.84 | (298) $false % 22.62/5.84 | % 22.62/5.84 |-The branch is then unsatisfiable % 22.62/5.84 |-Branch two: % 22.62/5.84 | (1603) ~ (all_0_55_55 = e3) % 22.62/5.84 | (385) all_0_55_55 = e2 % 22.62/5.84 | % 22.62/5.84 | Equations (385) can reduce 968 to: % 22.62/5.84 | (298) $false % 22.62/5.84 | % 22.62/5.84 |-The branch is then unsatisfiable % 22.62/5.84 |-Branch two: % 22.62/5.84 | (373) ~ (all_0_54_54 = e2) % 22.62/5.84 | (385) all_0_55_55 = e2 % 22.62/5.84 | % 22.62/5.84 | Equations (385) can reduce 85 to: % 22.62/5.84 | (373) ~ (all_0_54_54 = e2) % 22.62/5.84 | % 22.62/5.84 | Equations (385) can reduce 228 to: % 22.62/5.84 | (399) ~ (e4 = e2) % 22.62/5.84 | % 22.62/5.84 | Simplifying 399 yields: % 22.62/5.84 | (46) ~ (e4 = e2) % 22.62/5.84 | % 22.62/5.84 | Equations (385) can reduce 277 to: % 22.62/5.84 | (134) ~ (e2 = e1) % 22.62/5.84 | % 22.62/5.84 | From (385) and (218) follows: % 22.62/5.84 | (389) op(e1, e0) = e2 % 22.62/5.84 | % 22.62/5.84 +-Applying beta-rule and splitting (155), into two cases. % 22.62/5.84 |-Branch one: % 22.62/5.84 | (948) all_0_45_45 = e2 % 22.62/5.84 | % 22.62/5.84 | Combining equations (284,948) yields a new equation: % 22.62/5.84 | (544) e2 = e1 % 22.62/5.84 | % 22.62/5.84 | Equations (544) can reduce 134 to: % 22.62/5.84 | (298) $false % 22.62/5.84 | % 22.62/5.84 |-The branch is then unsatisfiable % 22.62/5.84 |-Branch two: % 22.62/5.84 | (951) ~ (all_0_45_45 = e2) % 22.62/5.84 | (1616) all_0_46_46 = e2 | all_0_47_47 = e2 | all_0_48_48 = e2 % 22.62/5.84 | % 22.62/5.84 +-Applying beta-rule and splitting (68), into two cases. % 22.62/5.84 |-Branch one: % 22.62/5.84 | (475) all_0_43_43 = e3 % 22.62/5.84 | % 22.62/5.84 | Combining equations (520,475) yields a new equation: % 22.62/5.84 | (391) e4 = e3 % 22.62/5.84 | % 22.62/5.84 | Simplifying 391 yields: % 22.62/5.84 | (392) e4 = e3 % 22.62/5.84 | % 22.62/5.84 | Equations (392) can reduce 184 to: % 22.62/5.84 | (298) $false % 22.62/5.84 | % 22.62/5.84 |-The branch is then unsatisfiable % 22.62/5.84 |-Branch two: % 22.62/5.84 | (471) ~ (all_0_43_43 = e3) % 22.62/5.84 | (478) all_0_48_48 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 22.62/5.84 | % 22.62/5.84 +-Applying beta-rule and splitting (1616), into two cases. % 22.62/5.84 |-Branch one: % 22.62/5.84 | (358) all_0_46_46 = e2 % 22.62/5.84 | % 22.62/5.84 | Combining equations (933,358) yields a new equation: % 22.62/5.84 | (408) e4 = e2 % 22.62/5.84 | % 22.62/5.84 | Simplifying 408 yields: % 22.62/5.84 | (409) e4 = e2 % 22.62/5.84 | % 22.62/5.84 | Equations (409) can reduce 46 to: % 22.62/5.84 | (298) $false % 22.62/5.84 | % 22.62/5.84 |-The branch is then unsatisfiable % 22.62/5.84 |-Branch two: % 22.62/5.84 | (973) ~ (all_0_46_46 = e2) % 22.62/5.84 | (1665) all_0_47_47 = e2 | all_0_48_48 = e2 % 22.62/5.84 | % 22.62/5.84 +-Applying beta-rule and splitting (478), into two cases. % 22.62/5.84 |-Branch one: % 22.62/5.84 | (491) all_0_48_48 = e3 % 22.62/5.84 | % 22.62/5.84 | Equations (491) can reduce 6 to: % 22.62/5.84 | (914) ~ (all_0_44_44 = e3) % 22.62/5.84 | % 22.62/5.84 | Equations (491) can reduce 224 to: % 22.62/5.84 | (493) ~ (all_0_47_47 = e3) % 22.62/5.84 | % 22.62/5.84 +-Applying beta-rule and splitting (137), into two cases. % 22.62/5.84 |-Branch one: % 22.62/5.84 | (1669) all_0_54_54 = e1 % 22.62/5.84 | % 22.62/5.84 | Equations (1669) can reduce 275 to: % 22.62/5.84 | (298) $false % 22.62/5.84 | % 22.62/5.84 |-The branch is then unsatisfiable % 22.62/5.84 |-Branch two: % 22.62/5.84 | (275) ~ (all_0_54_54 = e1) % 22.62/5.84 | (1672) all_0_54_54 = e3 | all_0_54_54 = e2 % 22.62/5.84 | % 22.62/5.84 +-Applying beta-rule and splitting (140), into two cases. % 22.62/5.84 |-Branch one: % 22.62/5.84 | (892) all_0_44_44 = e3 % 22.62/5.84 | % 22.62/5.84 | Equations (892) can reduce 914 to: % 22.62/5.84 | (298) $false % 22.62/5.84 | % 22.62/5.84 |-The branch is then unsatisfiable % 22.62/5.84 |-Branch two: % 22.62/5.84 | (914) ~ (all_0_44_44 = e3) % 22.62/5.84 | (915) all_0_53_53 = e3 | all_0_56_56 = e3 % 22.62/5.84 | % 22.62/5.84 +-Applying beta-rule and splitting (170), into two cases. % 22.62/5.84 |-Branch one: % 22.62/5.84 | (1299) all_0_44_44 = e1 % 22.62/5.84 | % 22.62/5.84 | Equations (1299) can reduce 273 to: % 22.62/5.84 | (298) $false % 22.62/5.84 | % 22.62/5.84 |-The branch is then unsatisfiable % 22.62/5.84 |-Branch two: % 22.62/5.84 | (273) ~ (all_0_44_44 = e1) % 22.62/5.84 | (1302) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e0 % 22.62/5.84 | % 22.62/5.84 +-Applying beta-rule and splitting (1672), into two cases. % 22.62/5.84 |-Branch one: % 22.62/5.84 | (424) all_0_54_54 = e3 % 22.62/5.84 | % 22.62/5.84 | Equations (424) can reduce 35 to: % 22.62/5.84 | (425) ~ (all_0_40_40 = e3) % 22.62/5.84 | % 22.62/5.84 | Equations (424) can reduce 211 to: % 22.62/5.84 | (472) ~ (e4 = e3) % 22.62/5.84 | % 22.62/5.84 | Simplifying 472 yields: % 22.62/5.84 | (184) ~ (e4 = e3) % 22.62/5.84 | % 22.62/5.84 | Equations (424) can reduce 275 to: % 22.62/5.84 | (214) ~ (e3 = e1) % 22.62/5.84 | % 22.62/5.84 | From (424) and (38) follows: % 22.62/5.84 | (428) op(e3, e1) = all_0_27_27 % 22.62/5.84 | % 22.62/5.84 +-Applying beta-rule and splitting (915), into two cases. % 22.62/5.84 |-Branch one: % 22.62/5.84 | (419) all_0_53_53 = e3 % 22.62/5.84 | % 22.62/5.84 | Combining equations (272,419) yields a new equation: % 22.62/5.84 | (420) e3 = e1 % 22.62/5.84 | % 22.62/5.84 | Equations (420) can reduce 214 to: % 22.62/5.84 | (298) $false % 22.62/5.84 | % 22.62/5.84 |-The branch is then unsatisfiable % 22.62/5.84 |-Branch two: % 22.62/5.84 | (422) ~ (all_0_53_53 = e3) % 22.62/5.84 | (376) all_0_56_56 = e3 % 22.62/5.84 | % 22.62/5.84 | Equations (376) can reduce 195 to: % 22.62/5.84 | (914) ~ (all_0_44_44 = e3) % 22.62/5.84 | % 22.62/5.84 | Equations (376) can reduce 106 to: % 22.62/5.84 | (111) ~ (all_0_49_49 = e3) % 22.62/5.84 | % 22.62/5.84 | Equations (376) can reduce 26 to: % 22.62/5.84 | (213) ~ (e3 = e2) % 22.62/5.84 | % 22.62/5.84 | Equations (376) can reduce 279 to: % 22.62/5.84 | (214) ~ (e3 = e1) % 22.62/5.84 | % 22.62/5.84 +-Applying beta-rule and splitting (1665), into two cases. % 22.62/5.84 |-Branch one: % 22.62/5.84 | (368) all_0_47_47 = e2 % 22.62/5.84 | % 22.62/5.84 | Equations (368) can reduce 98 to: % 22.62/5.84 | (107) ~ (all_0_44_44 = e2) % 22.62/5.84 | % 22.62/5.84 | Equations (368) can reduce 171 to: % 22.62/5.84 | (1698) ~ (all_0_51_51 = e2) % 22.62/5.84 | % 22.62/5.84 | Simplifying 1698 yields: % 22.62/5.84 | (885) ~ (all_0_51_51 = e2) % 22.62/5.84 | % 22.62/5.84 | Equations (368) can reduce 493 to: % 22.62/5.84 | (401) ~ (e3 = e2) % 22.62/5.84 | % 22.62/5.84 | Simplifying 401 yields: % 22.62/5.84 | (213) ~ (e3 = e2) % 22.62/5.84 | % 22.62/5.84 | Equations (368) can reduce 343 to: % 22.62/5.84 | (134) ~ (e2 = e1) % 22.62/5.84 | % 22.62/5.84 | From (368) and (158) follows: % 22.62/5.84 | (1703) op(e3, e1) = e2 % 22.62/5.84 | % 22.62/5.84 +-Applying beta-rule and splitting (201), into two cases. % 22.62/5.84 |-Branch one: % 22.62/5.84 | (1704) all_0_51_51 = e1 % 22.62/5.84 | % 22.62/5.84 | Equations (1704) can reduce 344 to: % 22.62/5.84 | (298) $false % 22.62/5.84 | % 22.62/5.84 |-The branch is then unsatisfiable % 22.62/5.84 |-Branch two: % 22.62/5.84 | (344) ~ (all_0_51_51 = e1) % 22.62/5.84 | (1707) all_0_51_51 = e2 | all_0_51_51 = e0 % 22.62/5.84 | % 22.62/5.84 +-Applying beta-rule and splitting (237), into two cases. % 22.62/5.84 |-Branch one: % 22.62/5.84 | (390) all_0_56_56 = e4 % 22.62/5.84 | % 22.62/5.84 | Combining equations (376,390) yields a new equation: % 22.62/5.84 | (392) e4 = e3 % 22.62/5.84 | % 22.62/5.84 | Equations (392) can reduce 184 to: % 22.62/5.84 | (298) $false % 22.62/5.84 | % 22.62/5.84 |-The branch is then unsatisfiable % 22.62/5.84 |-Branch two: % 22.62/5.84 | (394) ~ (all_0_56_56 = e4) % 22.62/5.84 | (395) all_0_57_57 = e4 | all_0_58_58 = e4 | all_0_60_60 = e4 % 22.62/5.84 | % 22.62/5.84 +-Applying beta-rule and splitting (103), into two cases. % 22.62/5.84 |-Branch one: % 22.62/5.84 | (838) all_0_50_50 = e2 % 22.62/5.84 | % 22.62/5.84 | Equations (838) can reduce 189 to: % 22.62/5.84 | (86) ~ (all_0_49_49 = e2) % 22.62/5.84 | % 22.62/5.84 | Equations (838) can reduce 157 to: % 22.62/5.84 | (1698) ~ (all_0_51_51 = e2) % 22.62/5.84 | % 22.62/5.84 | Simplifying 1698 yields: % 22.62/5.84 | (885) ~ (all_0_51_51 = e2) % 22.62/5.84 | % 22.62/5.84 | Equations (838) can reduce 330 to: % 22.62/5.84 | (134) ~ (e2 = e1) % 22.62/5.84 | % 22.62/5.84 | From (838) and (117) follows: % 22.62/5.84 | (1718) op(e2, e2) = all_0_19_19 % 22.62/5.84 | % 22.62/5.84 +-Applying beta-rule and splitting (226), into two cases. % 22.62/5.84 |-Branch one: % 22.62/5.84 | (506) all_0_49_49 = e4 % 22.62/5.84 | % 22.62/5.84 | Equations (506) can reduce 205 to: % 22.62/5.84 | (610) ~ (all_0_44_44 = e4) % 22.62/5.84 | % 22.62/5.84 | Equations (506) can reduce 82 to: % 22.62/5.84 | (1721) ~ (all_0_51_51 = e4) % 22.62/5.84 | % 22.62/5.84 | Simplifying 1721 yields: % 22.62/5.84 | (37) ~ (all_0_51_51 = e4) % 22.62/5.84 | % 22.62/5.84 | Equations (506) can reduce 111 to: % 22.62/5.84 | (184) ~ (e4 = e3) % 22.62/5.84 | % 22.62/5.84 | Equations (506) can reduce 86 to: % 22.62/5.84 | (46) ~ (e4 = e2) % 22.62/5.84 | % 22.62/5.84 | Equations (506) can reduce 329 to: % 22.62/5.84 | (115) ~ (e4 = e1) % 22.62/5.84 | % 22.62/5.84 | From (506) and (159) follows: % 22.62/5.84 | (1726) op(e4, e2) = all_0_17_17 % 22.62/5.84 | % 22.62/5.84 | From (506) and (110) follows: % 22.62/5.84 | (767) op(e2, e4) = e4 % 22.62/5.84 | % 22.62/5.84 +-Applying beta-rule and splitting (54), into two cases. % 22.62/5.84 |-Branch one: % 22.62/5.84 | (500) all_0_44_44 = e0 % 22.62/5.84 | % 22.62/5.84 | From (500) and (21) follows: % 22.62/5.84 | (1729) op(e0, e3) = all_0_8_8 % 22.62/5.84 | % 22.62/5.84 +-Applying beta-rule and splitting (1707), into two cases. % 22.62/5.84 |-Branch one: % 22.62/5.84 | (1730) all_0_51_51 = e0 % 22.62/5.84 | % 22.62/5.84 | Equations (1730) can reduce 153 to: % 22.62/5.84 | (463) ~ (all_0_42_42 = e0) % 22.62/5.84 | % 22.62/5.84 | Equations (1730) can reduce 37 to: % 22.62/5.84 | (485) ~ (e4 = e0) % 22.62/5.84 | % 22.62/5.84 | Simplifying 485 yields: % 22.62/5.84 | (47) ~ (e4 = e0) % 22.62/5.84 | % 22.62/5.84 | From (1730) and (169) follows: % 22.62/5.84 | (1734) op(e0, e2) = all_0_21_21 % 22.62/5.84 | % 22.62/5.84 +-Applying beta-rule and splitting (212), into two cases. % 22.62/5.84 |-Branch one: % 22.62/5.84 | (461) all_0_40_40 = e0 % 22.62/5.84 | % 22.62/5.84 | Equations (461) can reduce 483 to: % 22.62/5.84 | (485) ~ (e4 = e0) % 22.62/5.84 | % 22.62/5.84 | Simplifying 485 yields: % 22.62/5.84 | (47) ~ (e4 = e0) % 22.62/5.84 | % 22.62/5.84 | Equations (461) can reduce 425 to: % 22.62/5.84 | (620) ~ (e3 = e0) % 22.62/5.84 | % 22.62/5.84 | Simplifying 620 yields: % 22.62/5.84 | (84) ~ (e3 = e0) % 22.62/5.84 | % 22.62/5.84 | Equations (461) can reduce 254 to: % 22.62/5.84 | (526) ~ (e1 = e0) % 22.62/5.84 | % 22.62/5.84 | Simplifying 526 yields: % 22.62/5.84 | (231) ~ (e1 = e0) % 22.62/5.84 | % 22.62/5.84 | From (461) and (43) follows: % 22.62/5.84 | (1742) op(e0, e3) = all_0_1_1 % 22.62/5.84 | % 22.62/5.84 +-Applying beta-rule and splitting (23), into two cases. % 22.62/5.84 |-Branch one: % 22.62/5.84 | (755) all_0_40_40 = e3 % 22.62/5.84 | % 22.62/5.84 | Combining equations (461,755) yields a new equation: % 22.62/5.84 | (534) e3 = e0 % 22.62/5.84 | % 22.62/5.84 | Equations (534) can reduce 84 to: % 22.62/5.84 | (298) $false % 22.62/5.84 | % 22.62/5.84 |-The branch is then unsatisfiable % 22.62/5.84 |-Branch two: % 22.62/5.84 | (425) ~ (all_0_40_40 = e3) % 22.62/5.84 | (1257) all_0_42_42 = e3 | all_0_43_43 = e3 % 22.62/5.84 | % 22.62/5.84 +-Applying beta-rule and splitting (251), into two cases. % 22.62/5.84 |-Branch one: % 22.62/5.84 | (469) all_0_42_42 = e3 % 22.62/5.84 | % 22.62/5.84 | From (469) and (80) follows: % 22.62/5.84 | (1749) op(e3, e1) = all_0_5_5 % 22.62/5.84 | % 22.62/5.84 | From (469) and (2) follows: % 22.62/5.84 | (474) op(e4, e1) = e3 % 22.62/5.84 | % 22.62/5.84 +-Applying beta-rule and splitting (395), into two cases. % 22.62/5.84 |-Branch one: % 22.62/5.84 | (407) all_0_57_57 = e4 % 22.62/5.84 | % 22.62/5.84 | From (407) and (3) follows: % 22.62/5.84 | (1752) op(e4, e0) = all_0_33_33 % 22.62/5.84 | % 22.62/5.84 | From (407) and (150) follows: % 22.62/5.84 | (1160) op(e0, e3) = e4 % 22.62/5.84 | % 22.62/5.84 | Instantiating formula (206) with e4, e2, all_0_17_17, e1 and discharging atoms op(e4, e2) = all_0_17_17, op(e4, e2) = e1, yields: % 22.62/5.84 | (1754) all_0_17_17 = e1 % 22.62/5.84 | % 22.62/5.84 | Instantiating formula (206) with e4, e0, all_0_33_33, e4 and discharging atoms op(e4, e0) = all_0_33_33, op(e4, e0) = e4, yields: % 22.62/5.84 | (1755) all_0_33_33 = e4 % 22.62/5.84 | % 22.62/5.84 | Instantiating formula (206) with e3, e1, all_0_27_27, all_0_5_5 and discharging atoms op(e3, e1) = all_0_5_5, op(e3, e1) = all_0_27_27, yields: % 22.62/5.84 | (1756) all_0_5_5 = all_0_27_27 % 22.62/5.84 | % 22.62/5.84 | Instantiating formula (206) with e3, e1, e2, all_0_5_5 and discharging atoms op(e3, e1) = all_0_5_5, op(e3, e1) = e2, yields: % 22.62/5.84 | (1757) all_0_5_5 = e2 % 22.62/5.84 | % 22.62/5.84 | Instantiating formula (206) with e2, e2, all_0_19_19, e3 and discharging atoms op(e2, e2) = all_0_19_19, op(e2, e2) = e3, yields: % 22.62/5.84 | (1758) all_0_19_19 = e3 % 22.62/5.84 | % 22.62/5.84 | Instantiating formula (206) with e0, e3, all_0_8_8, all_0_1_1 and discharging atoms op(e0, e3) = all_0_1_1, op(e0, e3) = all_0_8_8, yields: % 22.62/5.84 | (1759) all_0_1_1 = all_0_8_8 % 22.62/5.84 | % 22.62/5.84 | Instantiating formula (206) with e0, e3, e4, all_0_1_1 and discharging atoms op(e0, e3) = all_0_1_1, op(e0, e3) = e4, yields: % 22.62/5.84 | (1760) all_0_1_1 = e4 % 22.62/5.84 | % 22.62/5.84 | Instantiating formula (206) with e0, e2, all_0_21_21, e2 and discharging atoms op(e0, e2) = all_0_21_21, op(e0, e2) = e2, yields: % 22.62/5.84 | (1761) all_0_21_21 = e2 % 22.62/5.84 | % 22.62/5.84 | Combining equations (1759,1760) yields a new equation: % 22.62/5.84 | (1762) all_0_8_8 = e4 % 22.62/5.84 | % 22.62/5.84 | Simplifying 1762 yields: % 22.62/5.84 | (1763) all_0_8_8 = e4 % 22.62/5.84 | % 22.62/5.84 | Combining equations (1756,1757) yields a new equation: % 22.62/5.84 | (1764) all_0_27_27 = e2 % 22.62/5.84 | % 22.62/5.84 | Simplifying 1764 yields: % 22.62/5.84 | (1057) all_0_27_27 = e2 % 22.62/5.84 | % 22.62/5.84 | From (1754) and (1726) follows: % 22.62/5.84 | (268) op(e4, e2) = e1 % 22.62/5.84 | % 22.62/5.84 | From (1755) and (1752) follows: % 22.62/5.84 | (522) op(e4, e0) = e4 % 22.62/5.84 | % 22.62/5.84 | From (1057) and (428) follows: % 22.62/5.85 | (1703) op(e3, e1) = e2 % 22.62/5.85 | % 22.62/5.85 | From (1758) and (1718) follows: % 22.62/5.85 | (72) op(e2, e2) = e3 % 22.62/5.85 | % 22.62/5.85 | From (1763) and (1729) follows: % 22.62/5.85 | (1160) op(e0, e3) = e4 % 22.62/5.85 | % 22.62/5.85 | From (1761) and (1734) follows: % 22.62/5.85 | (981) op(e0, e2) = e2 % 22.62/5.85 | % 22.62/5.85 +-Applying beta-rule and splitting (55), into two cases. % 22.62/5.85 |-Branch one: % 22.62/5.85 | (529) unit = e1 % 22.62/5.85 | % 22.62/5.85 | From (529) and (60) follows: % 22.62/5.85 | (1391) op(e1, e0) = e0 % 22.62/5.85 | % 22.62/5.85 | From (529) and (243) follows: % 22.62/5.85 | (530) op(e4, e1) = e4 % 22.62/5.85 | % 22.62/5.85 | From (529) and (74) follows: % 22.62/5.85 | (531) op(e3, e1) = e3 % 22.62/5.85 | % 22.62/5.85 | From (529) and (221) follows: % 22.62/5.85 | (532) op(e1, e1) = e1 % 22.62/5.85 | % 22.62/5.85 | Instantiating formula (206) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 22.62/5.85 | (392) e4 = e3 % 22.62/5.85 | % 22.62/5.85 | Instantiating formula (206) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields: % 22.62/5.85 | (567) e3 = e2 % 22.62/5.85 | % 22.62/5.85 | Instantiating formula (206) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 22.62/5.85 | (535) e4 = e1 % 22.62/5.85 | % 22.62/5.85 | Instantiating formula (206) with e1, e0, e0, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e0, yields: % 22.62/5.85 | (569) e2 = e0 % 22.62/5.85 | % 22.62/5.85 | Combining equations (535,392) yields a new equation: % 22.62/5.85 | (420) e3 = e1 % 22.62/5.85 | % 22.62/5.85 | Combining equations (420,567) yields a new equation: % 22.62/5.85 | (544) e2 = e1 % 22.62/5.85 | % 22.62/5.85 | Combining equations (544,569) yields a new equation: % 22.62/5.85 | (296) e1 = e0 % 22.62/5.85 | % 22.62/5.85 | Simplifying 296 yields: % 22.62/5.85 | (297) e1 = e0 % 22.62/5.85 | % 22.62/5.85 | Equations (297) can reduce 231 to: % 22.62/5.85 | (298) $false % 22.62/5.85 | % 22.62/5.85 |-The branch is then unsatisfiable % 22.62/5.85 |-Branch two: % 22.62/5.85 | (540) ~ (unit = e1) % 22.62/5.85 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 22.62/5.85 | % 22.62/5.85 +-Applying beta-rule and splitting (541), into two cases. % 22.62/5.85 |-Branch one: % 22.62/5.85 | (542) unit = e0 % 22.62/5.85 | % 22.62/5.85 | From (542) and (221) follows: % 22.62/5.85 | (543) op(e1, e0) = e1 % 22.62/5.85 | % 22.62/5.85 | Instantiating formula (206) with e1, e0, e1, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e1, yields: % 22.62/5.85 | (544) e2 = e1 % 22.62/5.85 | % 22.62/5.85 | Equations (544) can reduce 134 to: % 22.62/5.85 | (298) $false % 22.62/5.85 | % 22.62/5.85 |-The branch is then unsatisfiable % 22.62/5.85 |-Branch two: % 22.62/5.85 | (546) ~ (unit = e0) % 22.62/5.85 | (547) unit = e4 | unit = e3 | unit = e2 % 22.62/5.85 | % 22.62/5.85 +-Applying beta-rule and splitting (547), into two cases. % 22.62/5.85 |-Branch one: % 22.62/5.85 | (548) unit = e3 % 22.62/5.85 | % 22.62/5.85 | From (548) and (24) follows: % 22.62/5.85 | (1180) op(e3, e2) = e2 % 22.62/5.85 | % 22.62/5.85 | From (548) and (100) follows: % 22.62/5.85 | (1796) op(e3, e1) = e1 % 22.62/5.85 | % 22.62/5.85 | From (548) and (67) follows: % 22.62/5.85 | (803) op(e0, e3) = e0 % 22.62/5.85 | % 22.62/5.85 | Instantiating formula (206) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields: % 22.62/5.85 | (409) e4 = e2 % 22.62/5.85 | % 22.62/5.85 | Instantiating formula (206) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 22.62/5.85 | (544) e2 = e1 % 22.62/5.85 | % 22.62/5.85 | Instantiating formula (206) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 22.62/5.85 | (481) e4 = e0 % 22.62/5.85 | % 22.62/5.85 | Combining equations (409,481) yields a new equation: % 22.62/5.85 | (568) e2 = e0 % 22.62/5.85 | % 22.62/5.85 | Simplifying 568 yields: % 22.62/5.85 | (569) e2 = e0 % 22.62/5.85 | % 22.62/5.85 | Combining equations (544,569) yields a new equation: % 22.62/5.85 | (296) e1 = e0 % 22.62/5.85 | % 22.62/5.85 | Simplifying 296 yields: % 22.62/5.85 | (297) e1 = e0 % 22.62/5.85 | % 22.62/5.85 | Equations (297) can reduce 231 to: % 22.62/5.85 | (298) $false % 22.62/5.85 | % 22.62/5.85 |-The branch is then unsatisfiable % 22.62/5.85 |-Branch two: % 22.62/5.85 | (555) ~ (unit = e3) % 22.62/5.85 | (556) unit = e4 | unit = e2 % 22.62/5.85 | % 22.62/5.85 +-Applying beta-rule and splitting (556), into two cases. % 22.62/5.85 |-Branch one: % 22.62/5.85 | (557) unit = e4 % 22.62/5.85 | % 22.62/5.85 | From (557) and (24) follows: % 22.62/5.85 | (558) op(e4, e2) = e2 % 22.62/5.85 | % 22.62/5.85 | From (557) and (60) follows: % 22.62/5.85 | (559) op(e4, e0) = e0 % 22.62/5.85 | % 22.62/5.85 | From (557) and (66) follows: % 22.62/5.85 | (811) op(e2, e4) = e2 % 22.62/5.85 | % 22.62/5.85 | Instantiating formula (206) with e4, e2, e2, e1 and discharging atoms op(e4, e2) = e2, op(e4, e2) = e1, yields: % 22.62/5.85 | (544) e2 = e1 % 22.62/5.85 | % 22.62/5.85 | Instantiating formula (206) with e4, e0, e0, e4 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 22.62/5.85 | (481) e4 = e0 % 22.62/5.85 | % 22.62/5.85 | Instantiating formula (206) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 22.62/5.85 | (409) e4 = e2 % 22.62/5.85 | % 22.62/5.85 | Combining equations (409,481) yields a new equation: % 22.62/5.85 | (568) e2 = e0 % 22.62/5.85 | % 22.62/5.85 | Simplifying 568 yields: % 22.62/5.85 | (569) e2 = e0 % 22.62/5.85 | % 22.62/5.85 | Combining equations (544,569) yields a new equation: % 22.62/5.85 | (296) e1 = e0 % 22.62/5.85 | % 22.62/5.85 | Simplifying 296 yields: % 22.62/5.85 | (297) e1 = e0 % 22.62/5.85 | % 22.62/5.85 | Equations (297) can reduce 231 to: % 22.62/5.85 | (298) $false % 22.62/5.85 | % 22.62/5.85 |-The branch is then unsatisfiable % 22.62/5.85 |-Branch two: % 22.62/5.85 | (573) ~ (unit = e4) % 22.62/5.85 | (574) unit = e2 % 22.62/5.85 | % 22.62/5.85 | From (574) and (243) follows: % 22.62/5.85 | (576) op(e4, e2) = e4 % 22.62/5.85 | % 22.62/5.85 | From (574) and (74) follows: % 22.62/5.85 | (1207) op(e3, e2) = e3 % 22.62/5.85 | % 22.62/5.85 | From (574) and (66) follows: % 22.62/5.85 | (577) op(e2, e2) = e2 % 22.62/5.85 | % 22.62/5.85 | From (574) and (67) follows: % 22.62/5.85 | (578) op(e0, e2) = e0 % 22.62/5.85 | % 22.62/5.85 | Instantiating formula (206) with e4, e2, e4, e1 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e1, yields: % 22.62/5.85 | (535) e4 = e1 % 22.62/5.85 | % 22.62/5.85 | Instantiating formula (206) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 22.62/5.85 | (392) e4 = e3 % 22.62/5.85 | % 22.62/5.85 | Instantiating formula (206) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 22.62/5.85 | (567) e3 = e2 % 22.62/5.85 | % 22.62/5.85 | Instantiating formula (206) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 22.62/5.85 | (569) e2 = e0 % 22.62/5.85 | % 22.62/5.85 | Combining equations (535,392) yields a new equation: % 22.62/5.85 | (420) e3 = e1 % 22.62/5.85 | % 22.62/5.85 | Combining equations (420,567) yields a new equation: % 22.62/5.85 | (544) e2 = e1 % 22.62/5.85 | % 22.62/5.85 | Combining equations (544,569) yields a new equation: % 22.62/5.85 | (296) e1 = e0 % 22.62/5.85 | % 22.62/5.85 | Simplifying 296 yields: % 22.62/5.85 | (297) e1 = e0 % 22.62/5.85 | % 22.62/5.85 | Equations (297) can reduce 231 to: % 22.62/5.85 | (298) $false % 22.62/5.85 | % 22.62/5.85 |-The branch is then unsatisfiable % 22.62/5.85 |-Branch two: % 22.62/5.85 | (411) ~ (all_0_57_57 = e4) % 22.62/5.85 | (412) all_0_58_58 = e4 | all_0_60_60 = e4 % 22.62/5.85 | % 22.62/5.85 +-Applying beta-rule and splitting (125), into two cases. % 22.62/5.85 |-Branch one: % 22.62/5.85 | (479) all_0_40_40 = e4 % 22.62/5.85 | % 22.62/5.85 | Combining equations (461,479) yields a new equation: % 22.62/5.85 | (481) e4 = e0 % 22.62/5.85 | % 22.62/5.85 | Equations (481) can reduce 47 to: % 22.62/5.85 | (298) $false % 22.62/5.85 | % 22.62/5.85 |-The branch is then unsatisfiable % 22.62/5.85 |-Branch two: % 22.62/5.85 | (483) ~ (all_0_40_40 = e4) % 22.62/5.85 | (484) all_0_45_45 = e4 | all_0_50_50 = e4 | all_0_57_57 = e4 % 22.62/5.85 | % 22.62/5.85 +-Applying beta-rule and splitting (484), into two cases. % 22.62/5.85 |-Branch one: % 22.62/5.85 | (1221) all_0_45_45 = e4 % 22.62/5.85 | % 22.62/5.85 | Combining equations (284,1221) yields a new equation: % 22.62/5.85 | (535) e4 = e1 % 22.62/5.85 | % 22.62/5.85 | Equations (535) can reduce 115 to: % 22.62/5.85 | (298) $false % 22.62/5.85 | % 22.62/5.85 |-The branch is then unsatisfiable % 22.62/5.85 |-Branch two: % 22.62/5.85 | (1224) ~ (all_0_45_45 = e4) % 22.62/5.85 | (1225) all_0_50_50 = e4 | all_0_57_57 = e4 % 22.62/5.85 | % 22.62/5.85 +-Applying beta-rule and splitting (1225), into two cases. % 22.62/5.85 |-Branch one: % 22.62/5.85 | (523) all_0_50_50 = e4 % 22.62/5.85 | % 22.62/5.85 | Combining equations (838,523) yields a new equation: % 22.62/5.85 | (409) e4 = e2 % 22.62/5.85 | % 22.62/5.85 | Equations (409) can reduce 46 to: % 22.62/5.85 | (298) $false % 22.62/5.85 | % 22.62/5.85 |-The branch is then unsatisfiable % 22.62/5.85 |-Branch two: % 22.62/5.85 | (596) ~ (all_0_50_50 = e4) % 22.62/5.85 | (407) all_0_57_57 = e4 % 22.62/5.85 | % 22.62/5.85 | Equations (407) can reduce 411 to: % 22.62/5.85 | (298) $false % 22.62/5.85 | % 22.62/5.85 |-The branch is then unsatisfiable % 22.62/5.85 |-Branch two: % 22.62/5.85 | (847) ~ (all_0_42_42 = e3) % 22.62/5.85 | (1512) all_0_47_47 = e3 | all_0_59_59 = e3 % 22.62/5.85 | % 22.62/5.85 +-Applying beta-rule and splitting (1257), into two cases. % 22.62/5.85 |-Branch one: % 22.62/5.85 | (469) all_0_42_42 = e3 % 22.62/5.85 | % 22.62/5.85 | Equations (469) can reduce 847 to: % 22.62/5.85 | (298) $false % 22.62/5.85 | % 22.62/5.85 |-The branch is then unsatisfiable % 22.62/5.85 |-Branch two: % 22.62/5.85 | (847) ~ (all_0_42_42 = e3) % 22.62/5.85 | (475) all_0_43_43 = e3 % 22.62/5.85 | % 22.62/5.85 | Combining equations (520,475) yields a new equation: % 22.62/5.85 | (391) e4 = e3 % 22.62/5.85 | % 22.62/5.85 | Simplifying 391 yields: % 22.62/5.85 | (392) e4 = e3 % 22.62/5.85 | % 22.62/5.85 | Equations (392) can reduce 184 to: % 22.62/5.85 | (298) $false % 22.62/5.85 | % 22.62/5.85 |-The branch is then unsatisfiable % 22.62/5.85 |-Branch two: % 22.62/5.85 | (745) ~ (all_0_40_40 = e0) % 22.62/5.85 | (746) all_0_42_42 = e0 | all_0_43_43 = e0 % 22.62/5.85 | % 22.62/5.85 +-Applying beta-rule and splitting (746), into two cases. % 22.62/5.85 |-Branch one: % 22.62/5.85 | (466) all_0_42_42 = e0 % 22.62/5.85 | % 22.62/5.85 | Equations (466) can reduce 463 to: % 22.62/5.85 | (298) $false % 22.62/5.85 | % 22.62/5.85 |-The branch is then unsatisfiable % 22.62/5.85 |-Branch two: % 22.62/5.85 | (463) ~ (all_0_42_42 = e0) % 22.62/5.85 | (1253) all_0_43_43 = e0 % 22.62/5.85 | % 22.62/5.85 | Combining equations (520,1253) yields a new equation: % 22.62/5.85 | (480) e4 = e0 % 22.62/5.85 | % 22.62/5.85 | Simplifying 480 yields: % 22.62/5.85 | (481) e4 = e0 % 22.62/5.85 | % 22.62/5.85 | Equations (481) can reduce 47 to: % 22.62/5.85 | (298) $false % 22.62/5.85 | % 22.62/5.85 |-The branch is then unsatisfiable % 22.62/5.85 |-Branch two: % 22.62/5.85 | (1871) ~ (all_0_51_51 = e0) % 22.62/5.85 | (396) all_0_51_51 = e2 % 22.62/5.85 | % 22.62/5.85 | Equations (396) can reduce 885 to: % 22.62/5.85 | (298) $false % 22.62/5.85 | % 22.62/5.85 |-The branch is then unsatisfiable % 22.62/5.85 |-Branch two: % 22.62/5.85 | (503) ~ (all_0_44_44 = e0) % 22.62/5.85 | (504) all_0_49_49 = e0 | all_0_56_56 = e0 % 22.62/5.85 | % 22.62/5.85 +-Applying beta-rule and splitting (10), into two cases. % 22.62/5.85 |-Branch one: % 22.62/5.85 | (500) all_0_44_44 = e0 % 22.62/5.85 | % 22.62/5.85 | Equations (500) can reduce 503 to: % 22.62/5.85 | (298) $false % 22.62/5.85 | % 22.62/5.85 |-The branch is then unsatisfiable % 22.62/5.85 |-Branch two: % 22.62/5.85 | (503) ~ (all_0_44_44 = e0) % 22.62/5.85 | (1310) all_0_45_45 = e0 | all_0_47_47 = e0 | all_0_48_48 = e0 % 22.62/5.85 | % 22.62/5.85 +-Applying beta-rule and splitting (1302), into two cases. % 22.62/5.85 |-Branch one: % 22.62/5.85 | (500) all_0_44_44 = e0 % 22.62/5.85 | % 22.62/5.85 | Equations (500) can reduce 503 to: % 22.62/5.85 | (298) $false % 22.62/5.85 | % 22.62/5.85 |-The branch is then unsatisfiable % 22.62/5.85 |-Branch two: % 22.62/5.85 | (503) ~ (all_0_44_44 = e0) % 22.62/5.85 | (1306) all_0_44_44 = e4 | all_0_44_44 = e3 % 22.62/5.85 | % 22.62/5.85 +-Applying beta-rule and splitting (1306), into two cases. % 22.62/5.85 |-Branch one: % 22.62/5.85 | (892) all_0_44_44 = e3 % 22.62/5.85 | % 22.62/5.85 | Equations (892) can reduce 914 to: % 22.62/5.85 | (298) $false % 22.62/5.85 | % 22.62/5.85 |-The branch is then unsatisfiable % 22.62/5.85 |-Branch two: % 22.62/5.85 | (914) ~ (all_0_44_44 = e3) % 22.62/5.85 | (495) all_0_44_44 = e4 % 22.62/5.85 | % 22.62/5.85 | Equations (495) can reduce 610 to: % 22.62/5.85 | (298) $false % 22.62/5.85 | % 22.62/5.85 |-The branch is then unsatisfiable % 22.62/5.85 |-Branch two: % 22.62/5.85 | (497) ~ (all_0_49_49 = e4) % 22.62/5.85 | (509) all_0_50_50 = e4 | all_0_52_52 = e4 % 22.62/5.85 | % 22.62/5.85 +-Applying beta-rule and splitting (105), into two cases. % 22.62/5.85 |-Branch one: % 22.62/5.85 | (457) all_0_49_49 = e1 % 22.62/5.85 | % 22.62/5.85 | Equations (457) can reduce 329 to: % 22.62/5.85 | (298) $false % 22.62/5.85 | % 22.62/5.85 |-The branch is then unsatisfiable % 22.62/5.85 |-Branch two: % 22.62/5.85 | (329) ~ (all_0_49_49 = e1) % 22.62/5.85 | (460) all_0_49_49 = e4 | all_0_49_49 = e0 % 22.62/5.85 | % 22.62/5.85 +-Applying beta-rule and splitting (1707), into two cases. % 22.62/5.85 |-Branch one: % 22.62/5.85 | (1730) all_0_51_51 = e0 % 22.62/5.86 | % 22.62/5.86 | Equations (1730) can reduce 82 to: % 22.62/5.86 | (652) ~ (all_0_49_49 = e0) % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (460), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (637) all_0_49_49 = e0 % 22.62/5.86 | % 22.62/5.86 | Equations (637) can reduce 652 to: % 22.62/5.86 | (298) $false % 22.62/5.86 | % 22.62/5.86 |-The branch is then unsatisfiable % 22.62/5.86 |-Branch two: % 22.62/5.86 | (652) ~ (all_0_49_49 = e0) % 22.62/5.86 | (506) all_0_49_49 = e4 % 22.62/5.86 | % 22.62/5.86 | Equations (506) can reduce 497 to: % 22.62/5.86 | (298) $false % 22.62/5.86 | % 22.62/5.86 |-The branch is then unsatisfiable % 22.62/5.86 |-Branch two: % 22.62/5.86 | (1871) ~ (all_0_51_51 = e0) % 22.62/5.86 | (396) all_0_51_51 = e2 % 22.62/5.86 | % 22.62/5.86 | Equations (396) can reduce 885 to: % 22.62/5.86 | (298) $false % 22.62/5.86 | % 22.62/5.86 |-The branch is then unsatisfiable % 22.62/5.86 |-Branch two: % 22.62/5.86 | (398) ~ (all_0_50_50 = e2) % 22.62/5.86 | (1906) all_0_51_51 = e2 | all_0_52_52 = e2 % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (251), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (469) all_0_42_42 = e3 % 22.62/5.86 | % 22.62/5.86 | Equations (469) can reduce 153 to: % 22.62/5.86 | (1908) ~ (all_0_51_51 = e3) % 22.62/5.86 | % 22.62/5.86 | Simplifying 1908 yields: % 22.62/5.86 | (241) ~ (all_0_51_51 = e3) % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (1707), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (1730) all_0_51_51 = e0 % 22.62/5.86 | % 22.62/5.86 | Equations (1730) can reduce 82 to: % 22.62/5.86 | (652) ~ (all_0_49_49 = e0) % 22.62/5.86 | % 22.62/5.86 | Equations (1730) can reduce 241 to: % 22.62/5.86 | (620) ~ (e3 = e0) % 22.62/5.86 | % 22.62/5.86 | Simplifying 620 yields: % 22.62/5.86 | (84) ~ (e3 = e0) % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (54), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (500) all_0_44_44 = e0 % 22.62/5.86 | % 22.62/5.86 | Equations (500) can reduce 107 to: % 22.62/5.86 | (782) ~ (e2 = e0) % 22.62/5.86 | % 22.62/5.86 | Simplifying 782 yields: % 22.62/5.86 | (139) ~ (e2 = e0) % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (1906), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (396) all_0_51_51 = e2 % 22.62/5.86 | % 22.62/5.86 | Combining equations (1730,396) yields a new equation: % 22.62/5.86 | (569) e2 = e0 % 22.62/5.86 | % 22.62/5.86 | Equations (569) can reduce 139 to: % 22.62/5.86 | (298) $false % 22.62/5.86 | % 22.62/5.86 |-The branch is then unsatisfiable % 22.62/5.86 |-Branch two: % 22.62/5.86 | (885) ~ (all_0_51_51 = e2) % 22.62/5.86 | (938) all_0_52_52 = e2 % 22.62/5.86 | % 22.62/5.86 | Combining equations (938,326) yields a new equation: % 22.62/5.86 | (887) e2 = e1 % 22.62/5.86 | % 22.62/5.86 | Simplifying 887 yields: % 22.62/5.86 | (544) e2 = e1 % 22.62/5.86 | % 22.62/5.86 | Equations (544) can reduce 134 to: % 22.62/5.86 | (298) $false % 22.62/5.86 | % 22.62/5.86 |-The branch is then unsatisfiable % 22.62/5.86 |-Branch two: % 22.62/5.86 | (503) ~ (all_0_44_44 = e0) % 22.62/5.86 | (504) all_0_49_49 = e0 | all_0_56_56 = e0 % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (504), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (637) all_0_49_49 = e0 % 22.62/5.86 | % 22.62/5.86 | Equations (637) can reduce 652 to: % 22.62/5.86 | (298) $false % 22.62/5.86 | % 22.62/5.86 |-The branch is then unsatisfiable % 22.62/5.86 |-Branch two: % 22.62/5.86 | (652) ~ (all_0_49_49 = e0) % 22.62/5.86 | (653) all_0_56_56 = e0 % 22.62/5.86 | % 22.62/5.86 | Combining equations (376,653) yields a new equation: % 22.62/5.86 | (654) e3 = e0 % 22.62/5.86 | % 22.62/5.86 | Simplifying 654 yields: % 22.62/5.86 | (534) e3 = e0 % 22.62/5.86 | % 22.62/5.86 | Equations (534) can reduce 84 to: % 22.62/5.86 | (298) $false % 22.62/5.86 | % 22.62/5.86 |-The branch is then unsatisfiable % 22.62/5.86 |-Branch two: % 22.62/5.86 | (1871) ~ (all_0_51_51 = e0) % 22.62/5.86 | (396) all_0_51_51 = e2 % 22.62/5.86 | % 22.62/5.86 | Equations (396) can reduce 885 to: % 22.62/5.86 | (298) $false % 22.62/5.86 | % 22.62/5.86 |-The branch is then unsatisfiable % 22.62/5.86 |-Branch two: % 22.62/5.86 | (847) ~ (all_0_42_42 = e3) % 22.62/5.86 | (1512) all_0_47_47 = e3 | all_0_59_59 = e3 % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (1512), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (591) all_0_47_47 = e3 % 22.62/5.86 | % 22.62/5.86 | Combining equations (368,591) yields a new equation: % 22.62/5.86 | (567) e3 = e2 % 22.62/5.86 | % 22.62/5.86 | Equations (567) can reduce 213 to: % 22.62/5.86 | (298) $false % 22.62/5.86 | % 22.62/5.86 |-The branch is then unsatisfiable % 22.62/5.86 |-Branch two: % 22.62/5.86 | (493) ~ (all_0_47_47 = e3) % 22.62/5.86 | (907) all_0_59_59 = e3 % 22.62/5.86 | % 22.62/5.86 | Combining equations (907,341) yields a new equation: % 22.62/5.86 | (1084) e3 = e1 % 22.62/5.86 | % 22.62/5.86 | Simplifying 1084 yields: % 22.62/5.86 | (420) e3 = e1 % 22.62/5.86 | % 22.62/5.86 | Equations (420) can reduce 214 to: % 22.62/5.86 | (298) $false % 22.62/5.86 | % 22.62/5.86 |-The branch is then unsatisfiable % 22.62/5.86 |-Branch two: % 22.62/5.86 | (361) ~ (all_0_47_47 = e2) % 22.62/5.86 | (743) all_0_48_48 = e2 % 22.62/5.86 | % 22.62/5.86 | Combining equations (743,491) yields a new equation: % 22.62/5.86 | (567) e3 = e2 % 22.62/5.86 | % 22.62/5.86 | Equations (567) can reduce 213 to: % 22.62/5.86 | (298) $false % 22.62/5.86 | % 22.62/5.86 |-The branch is then unsatisfiable % 22.62/5.86 |-Branch two: % 22.62/5.86 | (875) ~ (all_0_54_54 = e3) % 22.62/5.86 | (382) all_0_54_54 = e2 % 22.62/5.86 | % 22.62/5.86 | Equations (382) can reduce 373 to: % 22.62/5.86 | (298) $false % 22.62/5.86 | % 22.62/5.86 |-The branch is then unsatisfiable % 22.62/5.86 |-Branch two: % 22.62/5.86 | (711) ~ (all_0_48_48 = e3) % 22.62/5.86 | (712) all_0_55_55 = e3 | all_0_60_60 = e3 % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (712), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (876) all_0_55_55 = e3 % 22.62/5.86 | % 22.62/5.86 | Combining equations (385,876) yields a new equation: % 22.62/5.86 | (567) e3 = e2 % 22.62/5.86 | % 22.62/5.86 | Equations (567) can reduce 213 to: % 22.62/5.86 | (298) $false % 22.62/5.86 | % 22.62/5.86 |-The branch is then unsatisfiable % 22.62/5.86 |-Branch two: % 22.62/5.86 | (1603) ~ (all_0_55_55 = e3) % 22.62/5.86 | (911) all_0_60_60 = e3 % 22.62/5.86 | % 22.62/5.86 | Combining equations (300,911) yields a new equation: % 22.62/5.86 | (534) e3 = e0 % 22.62/5.86 | % 22.62/5.86 | Equations (534) can reduce 84 to: % 22.62/5.86 | (298) $false % 22.62/5.86 | % 22.62/5.86 |-The branch is then unsatisfiable % 22.62/5.86 |-Branch two: % 22.62/5.86 | (601) ~ (all_0_43_43 = e4) % 22.62/5.86 | (602) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_60_60 = e4 % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (167), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (310) all_0_43_43 = e1 % 22.62/5.86 | % 22.62/5.86 | Equations (310) can reduce 258 to: % 22.62/5.86 | (298) $false % 22.62/5.86 | % 22.62/5.86 |-The branch is then unsatisfiable % 22.62/5.86 |-Branch two: % 22.62/5.86 | (258) ~ (all_0_43_43 = e1) % 22.62/5.86 | (519) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e0 % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (519), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (1253) all_0_43_43 = e0 % 22.62/5.86 | % 22.62/5.86 | Equations (1253) can reduce 301 to: % 22.62/5.86 | (298) $false % 22.62/5.86 | % 22.62/5.86 |-The branch is then unsatisfiable % 22.62/5.86 |-Branch two: % 22.62/5.86 | (301) ~ (all_0_43_43 = e0) % 22.62/5.86 | (1972) all_0_43_43 = e4 | all_0_43_43 = e3 % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (216), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (479) all_0_40_40 = e4 % 22.62/5.86 | % 22.62/5.86 | Equations (479) can reduce 238 to: % 22.62/5.86 | (1974) ~ (all_0_43_43 = e4) % 22.62/5.86 | % 22.62/5.86 | Simplifying 1974 yields: % 22.62/5.86 | (601) ~ (all_0_43_43 = e4) % 22.62/5.86 | % 22.62/5.86 | Equations (479) can reduce 75 to: % 22.62/5.86 | (759) ~ (all_0_50_50 = e4) % 22.62/5.86 | % 22.62/5.86 | Simplifying 759 yields: % 22.62/5.86 | (596) ~ (all_0_50_50 = e4) % 22.62/5.86 | % 22.62/5.86 | Equations (479) can reduce 35 to: % 22.62/5.86 | (1978) ~ (all_0_54_54 = e4) % 22.62/5.86 | % 22.62/5.86 | Simplifying 1978 yields: % 22.62/5.86 | (211) ~ (all_0_54_54 = e4) % 22.62/5.86 | % 22.62/5.86 | Equations (479) can reduce 64 to: % 22.62/5.86 | (1980) ~ (all_0_57_57 = e4) % 22.62/5.86 | % 22.62/5.86 | Simplifying 1980 yields: % 22.62/5.86 | (411) ~ (all_0_57_57 = e4) % 22.62/5.86 | % 22.62/5.86 | Equations (479) can reduce 254 to: % 22.62/5.86 | (115) ~ (e4 = e1) % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (212), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (461) all_0_40_40 = e0 % 22.62/5.86 | % 22.62/5.86 | Combining equations (479,461) yields a new equation: % 22.62/5.86 | (480) e4 = e0 % 22.62/5.86 | % 22.62/5.86 | Simplifying 480 yields: % 22.62/5.86 | (481) e4 = e0 % 22.62/5.86 | % 22.62/5.86 | Equations (481) can reduce 47 to: % 22.62/5.86 | (298) $false % 22.62/5.86 | % 22.62/5.86 |-The branch is then unsatisfiable % 22.62/5.86 |-Branch two: % 22.62/5.86 | (745) ~ (all_0_40_40 = e0) % 22.62/5.86 | (746) all_0_42_42 = e0 | all_0_43_43 = e0 % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (746), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (466) all_0_42_42 = e0 % 22.62/5.86 | % 22.62/5.86 | Equations (466) can reduce 153 to: % 22.62/5.86 | (1990) ~ (all_0_51_51 = e0) % 22.62/5.86 | % 22.62/5.86 | Simplifying 1990 yields: % 22.62/5.86 | (1871) ~ (all_0_51_51 = e0) % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (1972), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (475) all_0_43_43 = e3 % 22.62/5.86 | % 22.62/5.86 | Equations (475) can reduce 112 to: % 22.62/5.86 | (1993) ~ (all_0_55_55 = e3) % 22.62/5.86 | % 22.62/5.86 | Simplifying 1993 yields: % 22.62/5.86 | (1603) ~ (all_0_55_55 = e3) % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (10), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (500) all_0_44_44 = e0 % 22.62/5.86 | % 22.62/5.86 | Equations (500) can reduce 205 to: % 22.62/5.86 | (1996) ~ (all_0_49_49 = e0) % 22.62/5.86 | % 22.62/5.86 | Simplifying 1996 yields: % 22.62/5.86 | (652) ~ (all_0_49_49 = e0) % 22.62/5.86 | % 22.62/5.86 | Equations (500) can reduce 195 to: % 22.62/5.86 | (1073) ~ (all_0_56_56 = e0) % 22.62/5.86 | % 22.62/5.86 | Simplifying 1073 yields: % 22.62/5.86 | (306) ~ (all_0_56_56 = e0) % 22.62/5.86 | % 22.62/5.86 | Equations (500) can reduce 273 to: % 22.62/5.86 | (526) ~ (e1 = e0) % 22.62/5.86 | % 22.62/5.86 | Simplifying 526 yields: % 22.62/5.86 | (231) ~ (e1 = e0) % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (226), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (506) all_0_49_49 = e4 % 22.62/5.86 | % 22.62/5.86 | Equations (506) can reduce 189 to: % 22.62/5.86 | (759) ~ (all_0_50_50 = e4) % 22.62/5.86 | % 22.62/5.86 | Simplifying 759 yields: % 22.62/5.86 | (596) ~ (all_0_50_50 = e4) % 22.62/5.86 | % 22.62/5.86 | Equations (506) can reduce 106 to: % 22.62/5.86 | (2005) ~ (all_0_56_56 = e4) % 22.62/5.86 | % 22.62/5.86 | Simplifying 2005 yields: % 22.62/5.86 | (394) ~ (all_0_56_56 = e4) % 22.62/5.86 | % 22.62/5.86 | Equations (506) can reduce 652 to: % 22.62/5.86 | (47) ~ (e4 = e0) % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (201), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (1704) all_0_51_51 = e1 % 22.62/5.86 | % 22.62/5.86 | Equations (1704) can reduce 344 to: % 22.62/5.86 | (298) $false % 22.62/5.86 | % 22.62/5.86 |-The branch is then unsatisfiable % 22.62/5.86 |-Branch two: % 22.62/5.86 | (344) ~ (all_0_51_51 = e1) % 22.62/5.86 | (1707) all_0_51_51 = e2 | all_0_51_51 = e0 % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (1707), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (1730) all_0_51_51 = e0 % 22.62/5.86 | % 22.62/5.86 | Equations (1730) can reduce 1871 to: % 22.62/5.86 | (298) $false % 22.62/5.86 | % 22.62/5.86 |-The branch is then unsatisfiable % 22.62/5.86 |-Branch two: % 22.62/5.86 | (1871) ~ (all_0_51_51 = e0) % 22.62/5.86 | (396) all_0_51_51 = e2 % 22.62/5.86 | % 22.62/5.86 | Equations (396) can reduce 157 to: % 22.62/5.86 | (398) ~ (all_0_50_50 = e2) % 22.62/5.86 | % 22.62/5.86 | Equations (396) can reduce 344 to: % 22.62/5.86 | (134) ~ (e2 = e1) % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (248), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (948) all_0_45_45 = e2 % 22.62/5.86 | % 22.62/5.86 | Combining equations (284,948) yields a new equation: % 22.62/5.86 | (544) e2 = e1 % 22.62/5.86 | % 22.62/5.86 | Equations (544) can reduce 134 to: % 22.62/5.86 | (298) $false % 22.62/5.86 | % 22.62/5.86 |-The branch is then unsatisfiable % 22.62/5.86 |-Branch two: % 22.62/5.86 | (951) ~ (all_0_45_45 = e2) % 22.62/5.86 | (952) all_0_50_50 = e2 | all_0_54_54 = e2 | all_0_57_57 = e2 % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (952), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (838) all_0_50_50 = e2 % 22.62/5.86 | % 22.62/5.86 | Equations (838) can reduce 398 to: % 22.62/5.86 | (298) $false % 22.62/5.86 | % 22.62/5.86 |-The branch is then unsatisfiable % 22.62/5.86 |-Branch two: % 22.62/5.86 | (398) ~ (all_0_50_50 = e2) % 22.62/5.86 | (2026) all_0_54_54 = e2 | all_0_57_57 = e2 % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (2026), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (382) all_0_54_54 = e2 % 22.62/5.86 | % 22.62/5.86 | Equations (382) can reduce 211 to: % 22.62/5.86 | (399) ~ (e4 = e2) % 22.62/5.86 | % 22.62/5.86 | Simplifying 399 yields: % 22.62/5.86 | (46) ~ (e4 = e2) % 22.62/5.86 | % 22.62/5.86 | Equations (382) can reduce 210 to: % 22.62/5.86 | (139) ~ (e2 = e0) % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (70), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (314) all_0_56_56 = e1 % 22.62/5.86 | % 22.62/5.86 | Equations (314) can reduce 279 to: % 22.62/5.86 | (298) $false % 22.62/5.86 | % 22.62/5.86 |-The branch is then unsatisfiable % 22.62/5.86 |-Branch two: % 22.62/5.86 | (279) ~ (all_0_56_56 = e1) % 22.62/5.86 | (1499) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0 % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (129), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (637) all_0_49_49 = e0 % 22.62/5.86 | % 22.62/5.86 | Combining equations (506,637) yields a new equation: % 22.62/5.86 | (480) e4 = e0 % 22.62/5.86 | % 22.62/5.86 | Simplifying 480 yields: % 22.62/5.86 | (481) e4 = e0 % 22.62/5.86 | % 22.62/5.86 | Equations (481) can reduce 47 to: % 22.62/5.86 | (298) $false % 22.62/5.86 | % 22.62/5.86 |-The branch is then unsatisfiable % 22.62/5.86 |-Branch two: % 22.62/5.86 | (652) ~ (all_0_49_49 = e0) % 22.62/5.86 | (682) all_0_50_50 = e0 | all_0_51_51 = e0 | all_0_52_52 = e0 % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (1499), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (653) all_0_56_56 = e0 % 22.62/5.86 | % 22.62/5.86 | Equations (653) can reduce 306 to: % 22.62/5.86 | (298) $false % 22.62/5.86 | % 22.62/5.86 |-The branch is then unsatisfiable % 22.62/5.86 |-Branch two: % 22.62/5.86 | (306) ~ (all_0_56_56 = e0) % 22.62/5.86 | (1503) all_0_56_56 = e4 | all_0_56_56 = e3 % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (682), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (781) all_0_50_50 = e0 % 22.62/5.86 | % 22.62/5.86 | Equations (781) can reduce 596 to: % 22.62/5.86 | (485) ~ (e4 = e0) % 22.62/5.86 | % 22.62/5.86 | Simplifying 485 yields: % 22.62/5.86 | (47) ~ (e4 = e0) % 22.62/5.86 | % 22.62/5.86 +-Applying beta-rule and splitting (1503), into two cases. % 22.62/5.86 |-Branch one: % 22.62/5.86 | (376) all_0_56_56 = e3 % 22.62/5.87 | % 22.62/5.87 | Equations (376) can reduce 394 to: % 22.62/5.87 | (472) ~ (e4 = e3) % 22.62/5.87 | % 22.62/5.87 | Simplifying 472 yields: % 22.62/5.87 | (184) ~ (e4 = e3) % 22.62/5.87 | % 22.62/5.87 +-Applying beta-rule and splitting (237), into two cases. % 22.62/5.87 |-Branch one: % 22.62/5.87 | (390) all_0_56_56 = e4 % 22.62/5.87 | % 22.62/5.87 | Combining equations (376,390) yields a new equation: % 22.62/5.87 | (392) e4 = e3 % 22.62/5.87 | % 22.62/5.87 | Equations (392) can reduce 184 to: % 22.62/5.87 | (298) $false % 22.62/5.87 | % 22.62/5.87 |-The branch is then unsatisfiable % 22.62/5.87 |-Branch two: % 22.62/5.87 | (394) ~ (all_0_56_56 = e4) % 22.62/5.87 | (395) all_0_57_57 = e4 | all_0_58_58 = e4 | all_0_60_60 = e4 % 22.62/5.87 | % 22.62/5.87 +-Applying beta-rule and splitting (395), into two cases. % 22.62/5.87 |-Branch one: % 22.62/5.87 | (407) all_0_57_57 = e4 % 22.62/5.87 | % 22.62/5.87 | Equations (407) can reduce 411 to: % 22.62/5.87 | (298) $false % 22.62/5.87 | % 22.62/5.87 |-The branch is then unsatisfiable % 22.62/5.87 |-Branch two: % 22.62/5.87 | (411) ~ (all_0_57_57 = e4) % 22.62/5.87 | (412) all_0_58_58 = e4 | all_0_60_60 = e4 % 22.62/5.87 | % 22.62/5.87 +-Applying beta-rule and splitting (412), into two cases. % 22.62/5.87 |-Branch one: % 22.62/5.87 | (413) all_0_58_58 = e4 % 22.62/5.87 | % 22.62/5.87 | Combining equations (955,413) yields a new equation: % 22.62/5.87 | (409) e4 = e2 % 22.62/5.87 | % 22.62/5.87 | Equations (409) can reduce 46 to: % 22.62/5.87 | (298) $false % 22.62/5.87 | % 22.62/5.87 |-The branch is then unsatisfiable % 22.62/5.87 |-Branch two: % 22.62/5.87 | (880) ~ (all_0_58_58 = e4) % 22.62/5.87 | (696) all_0_60_60 = e4 % 22.62/5.87 | % 22.62/5.87 | Combining equations (696,300) yields a new equation: % 22.62/5.87 | (480) e4 = e0 % 22.62/5.87 | % 22.62/5.87 | Simplifying 480 yields: % 22.62/5.87 | (481) e4 = e0 % 22.62/5.87 | % 22.62/5.87 | Equations (481) can reduce 47 to: % 22.62/5.87 | (298) $false % 22.62/5.87 | % 22.62/5.87 |-The branch is then unsatisfiable % 22.62/5.87 |-Branch two: % 22.62/5.87 | (890) ~ (all_0_56_56 = e3) % 22.62/5.87 | (390) all_0_56_56 = e4 % 22.62/5.87 | % 22.62/5.87 | Equations (390) can reduce 394 to: % 22.62/5.87 | (298) $false % 22.62/5.87 | % 22.62/5.87 |-The branch is then unsatisfiable % 22.62/5.87 |-Branch two: % 22.62/5.87 | (661) ~ (all_0_50_50 = e0) % 22.62/5.87 | (2072) all_0_51_51 = e0 | all_0_52_52 = e0 % 22.62/5.87 | % 22.62/5.87 +-Applying beta-rule and splitting (2072), into two cases. % 22.62/5.87 |-Branch one: % 22.62/5.87 | (1730) all_0_51_51 = e0 % 22.62/5.87 | % 22.62/5.87 | Combining equations (396,1730) yields a new equation: % 22.62/5.87 | (568) e2 = e0 % 22.62/5.87 | % 22.62/5.87 | Simplifying 568 yields: % 22.62/5.87 | (569) e2 = e0 % 22.62/5.87 | % 22.62/5.87 | Equations (569) can reduce 139 to: % 22.62/5.87 | (298) $false % 22.62/5.87 | % 22.62/5.87 |-The branch is then unsatisfiable % 22.62/5.87 |-Branch two: % 22.62/5.87 | (1871) ~ (all_0_51_51 = e0) % 22.62/5.87 | (2078) all_0_52_52 = e0 % 22.62/5.87 | % 22.62/5.87 | Combining equations (326,2078) yields a new equation: % 22.62/5.87 | (296) e1 = e0 % 22.62/5.87 | % 22.62/5.87 | Simplifying 296 yields: % 22.62/5.87 | (297) e1 = e0 % 22.62/5.87 | % 22.62/5.87 | Equations (297) can reduce 231 to: % 22.62/5.87 | (298) $false % 22.62/5.87 | % 22.62/5.87 |-The branch is then unsatisfiable % 22.62/5.87 |-Branch two: % 22.62/5.87 | (373) ~ (all_0_54_54 = e2) % 22.62/5.87 | (372) all_0_57_57 = e2 % 22.62/5.87 | % 22.62/5.87 | Equations (372) can reduce 922 to: % 22.62/5.87 | (298) $false % 22.62/5.87 | % 22.62/5.87 |-The branch is then unsatisfiable % 22.62/5.87 |-Branch two: % 22.62/5.87 | (497) ~ (all_0_49_49 = e4) % 22.62/5.87 | (509) all_0_50_50 = e4 | all_0_52_52 = e4 % 22.62/5.87 | % 22.62/5.87 +-Applying beta-rule and splitting (509), into two cases. % 22.62/5.87 |-Branch one: % 22.62/5.87 | (523) all_0_50_50 = e4 % 22.62/5.87 | % 22.62/5.87 | Equations (523) can reduce 596 to: % 22.62/5.87 | (298) $false % 22.62/5.87 | % 22.62/5.87 |-The branch is then unsatisfiable % 22.62/5.87 |-Branch two: % 22.62/5.87 | (596) ~ (all_0_50_50 = e4) % 22.62/5.87 | (597) all_0_52_52 = e4 % 22.62/5.87 | % 22.62/5.87 | Combining equations (326,597) yields a new equation: % 22.62/5.87 | (535) e4 = e1 % 22.62/5.87 | % 22.62/5.87 | Equations (535) can reduce 115 to: % 22.62/5.87 | (298) $false % 22.62/5.87 | % 22.62/5.87 |-The branch is then unsatisfiable % 22.62/5.87 |-Branch two: % 22.62/5.87 | (503) ~ (all_0_44_44 = e0) % 22.82/5.87 | (1310) all_0_45_45 = e0 | all_0_47_47 = e0 | all_0_48_48 = e0 % 22.82/5.87 | % 22.82/5.87 +-Applying beta-rule and splitting (54), into two cases. % 22.82/5.87 |-Branch one: % 22.82/5.87 | (500) all_0_44_44 = e0 % 22.82/5.87 | % 22.82/5.87 | Equations (500) can reduce 503 to: % 22.82/5.87 | (298) $false % 22.82/5.87 | % 22.82/5.87 |-The branch is then unsatisfiable % 22.82/5.87 |-Branch two: % 22.82/5.87 | (503) ~ (all_0_44_44 = e0) % 22.82/5.87 | (504) all_0_49_49 = e0 | all_0_56_56 = e0 % 22.82/5.87 | % 22.82/5.87 +-Applying beta-rule and splitting (504), into two cases. % 22.82/5.87 |-Branch one: % 22.82/5.87 | (637) all_0_49_49 = e0 % 22.82/5.87 | % 22.82/5.87 | Equations (637) can reduce 82 to: % 22.82/5.87 | (1990) ~ (all_0_51_51 = e0) % 22.82/5.87 | % 22.82/5.87 | Simplifying 1990 yields: % 22.82/5.87 | (1871) ~ (all_0_51_51 = e0) % 22.82/5.87 | % 22.82/5.87 +-Applying beta-rule and splitting (201), into two cases. % 22.82/5.87 |-Branch one: % 22.82/5.87 | (1704) all_0_51_51 = e1 % 22.82/5.87 | % 22.82/5.87 | Equations (1704) can reduce 344 to: % 22.82/5.87 | (298) $false % 22.82/5.87 | % 22.82/5.87 |-The branch is then unsatisfiable % 22.82/5.87 |-Branch two: % 22.82/5.87 | (344) ~ (all_0_51_51 = e1) % 22.82/5.87 | (1707) all_0_51_51 = e2 | all_0_51_51 = e0 % 22.82/5.87 | % 22.82/5.87 +-Applying beta-rule and splitting (1707), into two cases. % 22.82/5.87 |-Branch one: % 22.82/5.87 | (1730) all_0_51_51 = e0 % 22.82/5.87 | % 22.82/5.87 | Equations (1730) can reduce 1871 to: % 22.82/5.87 | (298) $false % 22.82/5.87 | % 22.82/5.87 |-The branch is then unsatisfiable % 22.82/5.87 |-Branch two: % 22.82/5.87 | (1871) ~ (all_0_51_51 = e0) % 22.82/5.87 | (396) all_0_51_51 = e2 % 22.82/5.87 | % 22.82/5.87 | Equations (396) can reduce 157 to: % 22.82/5.87 | (398) ~ (all_0_50_50 = e2) % 22.82/5.87 | % 22.82/5.87 | Equations (396) can reduce 344 to: % 22.82/5.87 | (134) ~ (e2 = e1) % 22.82/5.87 | % 22.82/5.87 +-Applying beta-rule and splitting (248), into two cases. % 22.82/5.87 |-Branch one: % 22.82/5.87 | (948) all_0_45_45 = e2 % 22.82/5.87 | % 22.82/5.87 | Combining equations (284,948) yields a new equation: % 22.82/5.87 | (544) e2 = e1 % 22.82/5.87 | % 22.82/5.87 | Equations (544) can reduce 134 to: % 22.82/5.87 | (298) $false % 22.82/5.87 | % 22.82/5.87 |-The branch is then unsatisfiable % 22.82/5.87 |-Branch two: % 22.82/5.87 | (951) ~ (all_0_45_45 = e2) % 22.82/5.87 | (952) all_0_50_50 = e2 | all_0_54_54 = e2 | all_0_57_57 = e2 % 22.82/5.87 | % 22.82/5.87 +-Applying beta-rule and splitting (952), into two cases. % 22.82/5.87 |-Branch one: % 22.82/5.87 | (838) all_0_50_50 = e2 % 22.82/5.87 | % 22.82/5.87 | Equations (838) can reduce 398 to: % 22.82/5.87 | (298) $false % 22.82/5.87 | % 22.82/5.87 |-The branch is then unsatisfiable % 22.82/5.87 |-Branch two: % 22.82/5.87 | (398) ~ (all_0_50_50 = e2) % 22.82/5.87 | (2026) all_0_54_54 = e2 | all_0_57_57 = e2 % 22.82/5.87 | % 22.82/5.87 +-Applying beta-rule and splitting (2026), into two cases. % 22.82/5.87 |-Branch one: % 22.82/5.87 | (382) all_0_54_54 = e2 % 22.82/5.87 | % 22.82/5.87 | Equations (382) can reduce 85 to: % 22.82/5.87 | (1014) ~ (all_0_55_55 = e2) % 22.82/5.87 | % 22.82/5.87 | Simplifying 1014 yields: % 22.82/5.87 | (968) ~ (all_0_55_55 = e2) % 22.82/5.87 | % 22.82/5.87 +-Applying beta-rule and splitting (28), into two cases. % 22.82/5.87 |-Branch one: % 22.82/5.87 | (1029) all_0_55_55 = e1 % 22.82/5.87 | % 22.82/5.87 | Equations (1029) can reduce 277 to: % 22.82/5.87 | (298) $false % 22.82/5.87 | % 22.82/5.87 |-The branch is then unsatisfiable % 22.82/5.87 |-Branch two: % 22.82/5.87 | (277) ~ (all_0_55_55 = e1) % 22.82/5.87 | (1032) all_0_55_55 = e3 | all_0_55_55 = e2 % 22.82/5.87 | % 22.82/5.87 +-Applying beta-rule and splitting (1032), into two cases. % 22.82/5.87 |-Branch one: % 22.82/5.87 | (876) all_0_55_55 = e3 % 22.82/5.87 | % 22.82/5.87 | Equations (876) can reduce 1603 to: % 22.82/5.87 | (298) $false % 22.82/5.87 | % 22.82/5.87 |-The branch is then unsatisfiable % 22.82/5.87 |-Branch two: % 22.82/5.87 | (1603) ~ (all_0_55_55 = e3) % 22.82/5.87 | (385) all_0_55_55 = e2 % 22.82/5.87 | % 22.82/5.87 | Equations (385) can reduce 968 to: % 22.82/5.87 | (298) $false % 22.82/5.87 | % 22.82/5.87 |-The branch is then unsatisfiable % 22.82/5.87 |-Branch two: % 22.82/5.87 | (373) ~ (all_0_54_54 = e2) % 22.82/5.87 | (372) all_0_57_57 = e2 % 22.82/5.87 | % 22.82/5.87 | Equations (372) can reduce 922 to: % 22.82/5.87 | (298) $false % 22.82/5.87 | % 22.82/5.87 |-The branch is then unsatisfiable % 22.82/5.87 |-Branch two: % 22.82/5.87 | (652) ~ (all_0_49_49 = e0) % 22.82/5.87 | (653) all_0_56_56 = e0 % 22.82/5.87 | % 22.82/5.87 | Equations (653) can reduce 306 to: % 22.82/5.87 | (298) $false % 22.82/5.87 | % 22.82/5.87 |-The branch is then unsatisfiable % 22.82/5.87 |-Branch two: % 22.82/5.87 | (471) ~ (all_0_43_43 = e3) % 22.82/5.87 | (520) all_0_43_43 = e4 % 22.82/5.87 | % 22.82/5.87 | Equations (520) can reduce 601 to: % 22.82/5.87 | (298) $false % 22.82/5.87 | % 22.82/5.87 |-The branch is then unsatisfiable % 22.82/5.87 |-Branch two: % 22.82/5.87 | (463) ~ (all_0_42_42 = e0) % 22.82/5.87 | (1253) all_0_43_43 = e0 % 22.82/5.87 | % 22.82/5.87 | Equations (1253) can reduce 301 to: % 22.82/5.87 | (298) $false % 22.82/5.87 | % 22.82/5.87 |-The branch is then unsatisfiable % 22.82/5.87 |-Branch two: % 22.82/5.87 | (483) ~ (all_0_40_40 = e4) % 22.82/5.87 | (515) all_0_41_41 = e4 | all_0_43_43 = e4 % 22.82/5.87 | % 22.82/5.87 +-Applying beta-rule and splitting (515), into two cases. % 22.82/5.87 |-Branch one: % 22.82/5.87 | (603) all_0_41_41 = e4 % 22.82/5.87 | % 22.82/5.87 | Combining equations (253,603) yields a new equation: % 22.82/5.87 | (535) e4 = e1 % 22.82/5.87 | % 22.82/5.87 | Equations (535) can reduce 115 to: % 22.82/5.87 | (298) $false % 22.82/5.87 | % 22.82/5.87 |-The branch is then unsatisfiable % 22.82/5.87 |-Branch two: % 22.82/5.87 | (607) ~ (all_0_41_41 = e4) % 22.82/5.87 | (520) all_0_43_43 = e4 % 22.82/5.87 | % 22.82/5.87 | Equations (520) can reduce 601 to: % 22.82/5.87 | (298) $false % 22.82/5.87 | % 22.82/5.87 |-The branch is then unsatisfiable % 22.82/5.87 |-Branch two: % 22.82/5.87 | (936) ~ (all_0_46_46 = e4) % 22.82/5.87 | (358) all_0_46_46 = e2 % 22.82/5.87 | % 22.82/5.87 | Equations (358) can reduce 973 to: % 22.82/5.87 | (298) $false % 22.82/5.87 | % 22.82/5.87 |-The branch is then unsatisfiable % 22.82/5.87 |-Branch two: % 22.82/5.87 | (2156) ~ (all_0_59_59 = e1) % 22.82/5.87 | (2157) all_0_60_60 = e1 % 22.82/5.87 | % 22.82/5.87 | Combining equations (2157,300) yields a new equation: % 22.82/5.87 | (296) e1 = e0 % 22.82/5.87 | % 22.82/5.87 | Simplifying 296 yields: % 22.82/5.87 | (297) e1 = e0 % 22.82/5.87 | % 22.82/5.87 | Equations (297) can reduce 231 to: % 22.82/5.87 | (298) $false % 22.82/5.87 | % 22.82/5.87 |-The branch is then unsatisfiable % 22.82/5.87 |-Branch two: % 22.82/5.87 | (2161) ~ (all_0_52_52 = e1) % 22.82/5.87 | (2162) all_0_55_55 = e1 | all_0_60_60 = e1 % 22.82/5.87 | % 22.82/5.87 +-Applying beta-rule and splitting (2162), into two cases. % 22.82/5.87 |-Branch one: % 22.82/5.87 | (1029) all_0_55_55 = e1 % 22.82/5.87 | % 22.82/5.87 | Equations (1029) can reduce 277 to: % 22.82/5.87 | (298) $false % 22.82/5.87 | % 22.82/5.87 |-The branch is then unsatisfiable % 22.82/5.87 |-Branch two: % 22.82/5.87 | (277) ~ (all_0_55_55 = e1) % 22.82/5.87 | (2157) all_0_60_60 = e1 % 22.82/5.87 | % 22.82/5.87 | Combining equations (2157,300) yields a new equation: % 22.82/5.87 | (296) e1 = e0 % 22.82/5.87 | % 22.82/5.87 | Simplifying 296 yields: % 22.82/5.87 | (297) e1 = e0 % 22.82/5.87 | % 22.82/5.87 | Equations (297) can reduce 231 to: % 22.82/5.87 | (298) $false % 22.82/5.87 | % 22.82/5.87 |-The branch is then unsatisfiable % 22.82/5.87 |-Branch two: % 22.82/5.87 | (2170) ~ (all_0_45_45 = e1) % 22.82/5.87 | (2157) all_0_60_60 = e1 % 22.82/5.87 | % 22.82/5.87 | Equations (2157) can reduce 77 to: % 22.82/5.87 | (258) ~ (all_0_43_43 = e1) % 22.82/5.87 | % 22.82/5.87 | Equations (2157) can reduce 249 to: % 22.82/5.87 | (290) ~ (all_0_48_48 = e1) % 22.82/5.87 | % 22.82/5.87 | Equations (2157) can reduce 90 to: % 22.82/5.87 | (277) ~ (all_0_55_55 = e1) % 22.82/5.87 | % 22.82/5.87 | Equations (2157) can reduce 200 to: % 22.82/5.87 | (279) ~ (all_0_56_56 = e1) % 22.82/5.87 | % 22.82/5.87 | Equations (2157) can reduce 62 to: % 22.82/5.87 | (294) ~ (all_0_57_57 = e1) % 22.82/5.87 | % 22.82/5.87 | Equations (2157) can reduce 7 to: % 22.82/5.87 | (262) ~ (all_0_58_58 = e1) % 22.82/5.87 | % 22.82/5.87 +-Applying beta-rule and splitting (79), into two cases. % 22.82/5.87 |-Branch one: % 22.82/5.87 | (295) all_0_45_45 = e0 % 22.82/5.87 | % 22.82/5.87 | Equations (295) can reduce 219 to: % 22.82/5.87 | (745) ~ (all_0_40_40 = e0) % 22.82/5.87 | % 22.82/5.87 | Equations (295) can reduce 40 to: % 22.82/5.87 | (503) ~ (all_0_44_44 = e0) % 22.82/5.87 | % 22.82/5.87 | Equations (295) can reduce 102 to: % 22.82/5.87 | (2181) ~ (all_0_48_48 = e0) % 22.82/5.87 | % 22.82/5.87 | Simplifying 2181 yields: % 22.82/5.87 | (303) ~ (all_0_48_48 = e0) % 22.82/5.87 | % 22.82/5.87 | Equations (295) can reduce 17 to: % 22.82/5.87 | (660) ~ (all_0_50_50 = e0) % 22.82/5.87 | % 22.82/5.87 | Simplifying 660 yields: % 22.82/5.87 | (661) ~ (all_0_50_50 = e0) % 22.82/5.87 | % 22.82/5.87 | Equations (295) can reduce 94 to: % 22.82/5.87 | (2185) ~ (all_0_57_57 = e0) % 22.82/5.87 | % 22.82/5.87 | Simplifying 2185 yields: % 22.82/5.87 | (307) ~ (all_0_57_57 = e0) % 22.82/5.87 | % 22.82/5.87 | Equations (295) can reduce 2170 to: % 22.82/5.87 | (526) ~ (e1 = e0) % 22.82/5.87 | % 22.82/5.87 | Simplifying 526 yields: % 22.82/5.87 | (231) ~ (e1 = e0) % 22.82/5.87 | % 22.82/5.87 +-Applying beta-rule and splitting (14), into two cases. % 22.82/5.87 |-Branch one: % 22.82/5.87 | (1299) all_0_44_44 = e1 % 22.82/5.87 | % 22.82/5.87 | Equations (1299) can reduce 273 to: % 22.82/5.87 | (298) $false % 22.82/5.87 | % 22.82/5.87 |-The branch is then unsatisfiable % 22.82/5.87 |-Branch two: % 22.82/5.88 | (273) ~ (all_0_44_44 = e1) % 22.82/5.88 | (2192) all_0_45_45 = e1 | all_0_46_46 = e1 | all_0_47_47 = e1 | all_0_48_48 = e1 % 22.82/5.88 | % 22.82/5.88 +-Applying beta-rule and splitting (113), into two cases. % 22.82/5.88 |-Branch one: % 22.82/5.88 | (747) all_0_40_40 = e1 % 22.82/5.88 | % 22.82/5.88 | Equations (747) can reduce 254 to: % 22.82/5.88 | (298) $false % 22.82/5.88 | % 22.82/5.88 |-The branch is then unsatisfiable % 22.82/5.88 |-Branch two: % 22.82/5.88 | (254) ~ (all_0_40_40 = e1) % 22.82/5.88 | (2196) all_0_45_45 = e1 | all_0_50_50 = e1 | all_0_54_54 = e1 | all_0_57_57 = e1 % 22.82/5.88 | % 22.82/5.88 +-Applying beta-rule and splitting (2192), into two cases. % 22.82/5.88 |-Branch one: % 22.82/5.88 | (284) all_0_45_45 = e1 % 22.82/5.88 | % 22.82/5.88 | Combining equations (295,284) yields a new equation: % 22.82/5.88 | (297) e1 = e0 % 22.82/5.88 | % 22.82/5.88 | Equations (297) can reduce 231 to: % 22.82/5.88 | (298) $false % 22.82/5.88 | % 22.82/5.88 |-The branch is then unsatisfiable % 22.82/5.88 |-Branch two: % 22.82/5.88 | (2170) ~ (all_0_45_45 = e1) % 22.82/5.88 | (2201) all_0_46_46 = e1 | all_0_47_47 = e1 | all_0_48_48 = e1 % 22.82/5.88 | % 22.82/5.88 | Equations (295) can reduce 2170 to: % 22.82/5.88 | (526) ~ (e1 = e0) % 22.82/5.88 | % 22.82/5.88 | Simplifying 526 yields: % 22.82/5.88 | (231) ~ (e1 = e0) % 22.82/5.88 | % 22.82/5.88 +-Applying beta-rule and splitting (2201), into two cases. % 22.82/5.88 |-Branch one: % 22.82/5.88 | (982) all_0_46_46 = e1 % 22.82/5.88 | % 22.82/5.88 | Equations (982) can reduce 260 to: % 22.82/5.88 | (298) $false % 22.82/5.88 | % 22.82/5.88 |-The branch is then unsatisfiable % 22.82/5.88 |-Branch two: % 22.82/5.88 | (260) ~ (all_0_46_46 = e1) % 22.82/5.88 | (2207) all_0_47_47 = e1 | all_0_48_48 = e1 % 22.82/5.88 | % 22.82/5.88 +-Applying beta-rule and splitting (2196), into two cases. % 22.82/5.88 |-Branch one: % 22.82/5.88 | (284) all_0_45_45 = e1 % 22.82/5.88 | % 22.82/5.88 | Combining equations (295,284) yields a new equation: % 22.82/5.88 | (297) e1 = e0 % 22.82/5.88 | % 22.82/5.88 | Equations (297) can reduce 231 to: % 22.82/5.88 | (298) $false % 22.82/5.88 | % 22.82/5.88 |-The branch is then unsatisfiable % 22.82/5.88 |-Branch two: % 22.82/5.88 | (2170) ~ (all_0_45_45 = e1) % 22.82/5.88 | (2212) all_0_50_50 = e1 | all_0_54_54 = e1 | all_0_57_57 = e1 % 22.82/5.88 | % 22.82/5.88 +-Applying beta-rule and splitting (2207), into two cases. % 22.82/5.88 |-Branch one: % 22.82/5.88 | (487) all_0_47_47 = e1 % 22.82/5.88 | % 22.82/5.88 | Equations (487) can reduce 242 to: % 22.82/5.88 | (256) ~ (all_0_42_42 = e1) % 22.82/5.88 | % 22.82/5.88 | Equations (487) can reduce 98 to: % 22.82/5.88 | (273) ~ (all_0_44_44 = e1) % 22.82/5.88 | % 22.82/5.88 | Equations (487) can reduce 179 to: % 22.82/5.88 | (260) ~ (all_0_46_46 = e1) % 22.82/5.88 | % 22.82/5.88 | Equations (487) can reduce 119 to: % 22.82/5.88 | (2217) ~ (all_0_59_59 = e1) % 22.82/5.88 | % 22.82/5.88 | Simplifying 2217 yields: % 22.82/5.88 | (2156) ~ (all_0_59_59 = e1) % 22.82/5.88 | % 22.82/5.88 | Equations (487) can reduce 76 to: % 22.82/5.88 | (347) ~ (e4 = e1) % 22.82/5.88 | % 22.82/5.88 | Simplifying 347 yields: % 22.82/5.88 | (115) ~ (e4 = e1) % 22.82/5.88 | % 22.82/5.88 | From (487) and (177) follows: % 22.82/5.88 | (2221) op(e1, e3) = all_0_13_13 % 22.82/5.88 | % 22.82/5.88 | From (487) and (235) follows: % 22.82/5.88 | (2222) op(e1, e1) = all_0_14_14 % 22.82/5.88 | % 22.82/5.88 | From (487) and (158) follows: % 22.82/5.88 | (1796) op(e3, e1) = e1 % 22.82/5.88 | % 22.82/5.88 +-Applying beta-rule and splitting (2212), into two cases. % 22.82/5.88 |-Branch one: % 22.82/5.88 | (771) all_0_50_50 = e1 % 22.82/5.88 | % 22.82/5.88 | Equations (771) can reduce 75 to: % 22.82/5.88 | (254) ~ (all_0_40_40 = e1) % 22.82/5.88 | % 22.82/5.88 | Equations (771) can reduce 189 to: % 22.82/5.88 | (329) ~ (all_0_49_49 = e1) % 22.82/5.88 | % 22.82/5.88 | Equations (771) can reduce 157 to: % 22.82/5.88 | (2227) ~ (all_0_51_51 = e1) % 22.82/5.88 | % 22.82/5.88 | Simplifying 2227 yields: % 22.82/5.88 | (344) ~ (all_0_51_51 = e1) % 22.82/5.88 | % 22.82/5.88 | Equations (771) can reduce 234 to: % 22.82/5.88 | (2229) ~ (all_0_52_52 = e1) % 22.82/5.88 | % 22.82/5.88 | Simplifying 2229 yields: % 22.82/5.88 | (2161) ~ (all_0_52_52 = e1) % 22.82/5.88 | % 22.82/5.88 | Equations (771) can reduce 196 to: % 22.82/5.88 | (274) ~ (all_0_54_54 = e1) % 22.82/5.88 | % 22.82/5.88 | Simplifying 274 yields: % 22.82/5.88 | (275) ~ (all_0_54_54 = e1) % 22.82/5.88 | % 22.82/5.88 | Equations (771) can reduce 9 to: % 22.82/5.88 | (293) ~ (all_0_57_57 = e1) % 22.82/5.88 | % 22.82/5.88 | Simplifying 293 yields: % 22.82/5.88 | (294) ~ (all_0_57_57 = e1) % 22.82/5.88 | % 22.82/5.88 | Equations (771) can reduce 661 to: % 22.82/5.88 | (231) ~ (e1 = e0) % 22.82/5.88 | % 22.82/5.88 | From (771) and (41) follows: % 22.82/5.88 | (2236) op(e1, e3) = all_0_20_20 % 22.82/5.88 | % 22.82/5.88 | From (771) and (207) follows: % 22.82/5.88 | (2237) op(e2, e3) = e1 % 22.82/5.88 | % 22.82/5.88 | Instantiating formula (206) with e1, e3, all_0_13_13, all_0_54_54 and discharging atoms op(e1, e3) = all_0_13_13, op(e1, e3) = all_0_54_54, yields: % 22.82/5.88 | (2238) all_0_13_13 = all_0_54_54 % 22.82/5.88 | % 22.82/5.88 | Instantiating formula (206) with e1, e3, all_0_20_20, all_0_13_13 and discharging atoms op(e1, e3) = all_0_13_13, op(e1, e3) = all_0_20_20, yields: % 22.82/5.88 | (2239) all_0_13_13 = all_0_20_20 % 22.82/5.88 | % 22.82/5.88 | Instantiating formula (206) with e1, e1, all_0_14_14, e4 and discharging atoms op(e1, e1) = all_0_14_14, op(e1, e1) = e4, yields: % 22.82/5.88 | (2240) all_0_14_14 = e4 % 22.82/5.88 | % 22.82/5.88 | Combining equations (2238,2239) yields a new equation: % 22.82/5.88 | (2241) all_0_20_20 = all_0_54_54 % 22.82/5.88 | % 22.82/5.88 | From (2241) and (2236) follows: % 22.82/5.88 | (154) op(e1, e3) = all_0_54_54 % 22.82/5.88 | % 22.82/5.88 | From (2240) and (2222) follows: % 22.82/5.88 | (227) op(e1, e1) = e4 % 22.82/5.88 | % 22.82/5.88 +-Applying beta-rule and splitting (138), into two cases. % 22.82/5.88 |-Branch one: % 22.82/5.88 | (382) all_0_54_54 = e2 % 22.82/5.88 | % 22.82/5.88 | Equations (382) can reduce 85 to: % 22.82/5.88 | (1014) ~ (all_0_55_55 = e2) % 22.82/5.88 | % 22.82/5.88 | Simplifying 1014 yields: % 22.82/5.88 | (968) ~ (all_0_55_55 = e2) % 22.82/5.88 | % 22.82/5.88 | Equations (382) can reduce 81 to: % 22.82/5.88 | (2247) ~ (all_0_57_57 = e2) % 22.82/5.88 | % 22.82/5.88 | Simplifying 2247 yields: % 22.82/5.88 | (922) ~ (all_0_57_57 = e2) % 22.82/5.88 | % 22.82/5.88 | Equations (382) can reduce 211 to: % 22.82/5.88 | (399) ~ (e4 = e2) % 22.82/5.88 | % 22.82/5.88 | Simplifying 399 yields: % 22.82/5.88 | (46) ~ (e4 = e2) % 22.82/5.88 | % 22.82/5.88 | From (382) and (36) follows: % 22.82/5.88 | (1018) op(e2, e3) = all_0_28_28 % 22.82/5.88 | % 22.82/5.88 | From (382) and (154) follows: % 22.82/5.88 | (1020) op(e1, e3) = e2 % 22.82/5.88 | % 22.82/5.88 +-Applying beta-rule and splitting (28), into two cases. % 22.82/5.88 |-Branch one: % 22.82/5.88 | (1029) all_0_55_55 = e1 % 22.82/5.88 | % 22.82/5.88 | Equations (1029) can reduce 277 to: % 22.82/5.88 | (298) $false % 22.82/5.88 | % 22.82/5.88 |-The branch is then unsatisfiable % 22.82/5.88 |-Branch two: % 22.82/5.88 | (277) ~ (all_0_55_55 = e1) % 22.82/5.88 | (1032) all_0_55_55 = e3 | all_0_55_55 = e2 % 22.82/5.88 | % 22.82/5.88 +-Applying beta-rule and splitting (1032), into two cases. % 22.82/5.88 |-Branch one: % 22.82/5.88 | (876) all_0_55_55 = e3 % 22.82/5.88 | % 22.82/5.88 | Equations (876) can reduce 112 to: % 22.82/5.88 | (471) ~ (all_0_43_43 = e3) % 22.82/5.88 | % 22.82/5.88 | Equations (876) can reduce 228 to: % 22.82/5.88 | (472) ~ (e4 = e3) % 22.82/5.88 | % 22.82/5.88 | Simplifying 472 yields: % 22.82/5.88 | (184) ~ (e4 = e3) % 22.82/5.88 | % 22.82/5.88 | Equations (876) can reduce 277 to: % 22.82/5.88 | (214) ~ (e3 = e1) % 22.82/5.88 | % 22.82/5.88 | From (876) and (222) follows: % 22.82/5.88 | (2262) op(e3, e1) = all_0_29_29 % 22.82/5.88 | % 22.82/5.88 | From (876) and (146) follows: % 22.82/5.88 | (1047) op(e3, e0) = all_0_30_30 % 22.82/5.88 | % 22.82/5.88 | From (876) and (218) follows: % 22.82/5.88 | (1048) op(e1, e0) = e3 % 22.82/5.88 | % 22.82/5.88 +-Applying beta-rule and splitting (163), into two cases. % 22.82/5.88 |-Branch one: % 22.82/5.88 | (892) all_0_44_44 = e3 % 22.82/5.88 | % 22.82/5.88 | Equations (892) can reduce 120 to: % 22.82/5.88 | (2266) ~ (all_0_46_46 = e3) % 22.82/5.88 | % 22.82/5.88 | Simplifying 2266 yields: % 22.82/5.88 | (27) ~ (all_0_46_46 = e3) % 22.82/5.88 | % 22.82/5.88 | Equations (892) can reduce 6 to: % 22.82/5.88 | (2268) ~ (all_0_48_48 = e3) % 22.82/5.88 | % 22.82/5.88 | Simplifying 2268 yields: % 22.82/5.88 | (711) ~ (all_0_48_48 = e3) % 22.82/5.88 | % 22.82/5.88 | Equations (892) can reduce 205 to: % 22.82/5.88 | (1325) ~ (all_0_49_49 = e3) % 22.82/5.88 | % 22.82/5.88 | Simplifying 1325 yields: % 22.82/5.88 | (111) ~ (all_0_49_49 = e3) % 22.82/5.88 | % 22.82/5.88 | Equations (892) can reduce 195 to: % 22.82/5.88 | (1327) ~ (all_0_56_56 = e3) % 22.82/5.88 | % 22.82/5.88 | Simplifying 1327 yields: % 22.82/5.88 | (890) ~ (all_0_56_56 = e3) % 22.82/5.88 | % 22.82/5.88 | Equations (892) can reduce 503 to: % 22.82/5.88 | (84) ~ (e3 = e0) % 22.82/5.88 | % 22.82/5.88 | From (892) and (116) follows: % 22.82/5.88 | (2275) op(e3, e4) = all_0_9_9 % 22.82/5.88 | % 22.82/5.88 | From (892) and (124) follows: % 22.82/5.88 | (561) op(e3, e4) = e3 % 22.82/5.88 | % 22.82/5.88 | Instantiating formula (206) with e3, e4, e3, all_0_9_9 and discharging atoms op(e3, e4) = all_0_9_9, op(e3, e4) = e3, yields: % 22.82/5.88 | (2277) all_0_9_9 = e3 % 22.82/5.88 | % 22.82/5.88 | Instantiating formula (206) with e3, e1, all_0_29_29, e1 and discharging atoms op(e3, e1) = all_0_29_29, op(e3, e1) = e1, yields: % 22.82/5.88 | (2278) all_0_29_29 = e1 % 22.82/5.88 | % 22.82/5.88 | Instantiating formula (206) with e3, e0, all_0_30_30, all_0_48_48 and discharging atoms op(e3, e0) = all_0_30_30, op(e3, e0) = all_0_48_48, yields: % 22.82/5.88 | (2279) all_0_30_30 = all_0_48_48 % 22.82/5.88 | % 22.82/5.88 | Instantiating formula (206) with e2, e3, all_0_28_28, e1 and discharging atoms op(e2, e3) = all_0_28_28, op(e2, e3) = e1, yields: % 22.82/5.88 | (2280) all_0_28_28 = e1 % 22.82/5.88 | % 22.82/5.88 | From (2277) and (2275) follows: % 22.82/5.88 | (561) op(e3, e4) = e3 % 22.82/5.88 | % 22.82/5.88 | From (2278) and (2262) follows: % 22.82/5.88 | (1796) op(e3, e1) = e1 % 22.82/5.88 | % 22.82/5.88 | From (2279) and (1047) follows: % 22.82/5.88 | (202) op(e3, e0) = all_0_48_48 % 22.82/5.88 | % 22.82/5.88 | From (2280) and (1018) follows: % 22.82/5.88 | (2237) op(e2, e3) = e1 % 22.82/5.88 | % 22.82/5.88 +-Applying beta-rule and splitting (57), into two cases. % 22.82/5.88 |-Branch one: % 22.82/5.88 | (358) all_0_46_46 = e2 % 22.82/5.88 | % 22.82/5.88 | Equations (358) can reduce 236 to: % 22.82/5.88 | (2286) ~ (all_0_58_58 = e2) % 22.82/5.88 | % 22.82/5.88 | Simplifying 2286 yields: % 22.82/5.88 | (958) ~ (all_0_58_58 = e2) % 22.82/5.88 | % 22.82/5.88 | Equations (358) can reduce 260 to: % 22.82/5.88 | (134) ~ (e2 = e1) % 22.82/5.88 | % 22.82/5.88 +-Applying beta-rule and splitting (89), into two cases. % 22.82/5.88 |-Branch one: % 22.82/5.88 | (495) all_0_44_44 = e4 % 22.82/5.88 | % 22.82/5.88 | Combining equations (495,892) yields a new equation: % 22.82/5.88 | (391) e4 = e3 % 22.82/5.88 | % 22.82/5.88 | Simplifying 391 yields: % 22.82/5.88 | (392) e4 = e3 % 22.82/5.88 | % 22.82/5.88 | Equations (392) can reduce 184 to: % 22.82/5.88 | (298) $false % 22.82/5.88 | % 22.82/5.88 |-The branch is then unsatisfiable % 22.82/5.88 |-Branch two: % 22.82/5.88 | (610) ~ (all_0_44_44 = e4) % 22.82/5.88 | (611) all_0_45_45 = e4 | all_0_46_46 = e4 | all_0_48_48 = e4 % 22.82/5.88 | % 22.82/5.88 +-Applying beta-rule and splitting (203), into two cases. % 22.82/5.88 |-Branch one: % 22.82/5.88 | (603) all_0_41_41 = e4 % 22.82/5.88 | % 22.82/5.88 | Combining equations (603,253) yields a new equation: % 22.82/5.88 | (598) e4 = e1 % 22.82/5.88 | % 22.82/5.88 | Simplifying 598 yields: % 22.82/5.89 | (535) e4 = e1 % 22.82/5.89 | % 22.82/5.89 | Equations (535) can reduce 115 to: % 22.82/5.89 | (298) $false % 22.82/5.89 | % 22.82/5.89 |-The branch is then unsatisfiable % 22.82/5.89 |-Branch two: % 22.82/5.89 | (607) ~ (all_0_41_41 = e4) % 22.82/5.89 | (932) all_0_46_46 = e4 | all_0_58_58 = e4 % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (932), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (933) all_0_46_46 = e4 % 22.82/5.89 | % 22.82/5.89 | Combining equations (933,358) yields a new equation: % 22.82/5.89 | (408) e4 = e2 % 22.82/5.89 | % 22.82/5.89 | Simplifying 408 yields: % 22.82/5.89 | (409) e4 = e2 % 22.82/5.89 | % 22.82/5.89 | Equations (409) can reduce 46 to: % 22.82/5.89 | (298) $false % 22.82/5.89 | % 22.82/5.89 |-The branch is then unsatisfiable % 22.82/5.89 |-Branch two: % 22.82/5.89 | (936) ~ (all_0_46_46 = e4) % 22.82/5.89 | (413) all_0_58_58 = e4 % 22.82/5.89 | % 22.82/5.89 | Equations (413) can reduce 230 to: % 22.82/5.89 | (394) ~ (all_0_56_56 = e4) % 22.82/5.89 | % 22.82/5.89 | Equations (413) can reduce 958 to: % 22.82/5.89 | (46) ~ (e4 = e2) % 22.82/5.89 | % 22.82/5.89 | Equations (413) can reduce 199 to: % 22.82/5.89 | (47) ~ (e4 = e0) % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (611), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (1221) all_0_45_45 = e4 % 22.82/5.89 | % 22.82/5.89 | Combining equations (295,1221) yields a new equation: % 22.82/5.89 | (481) e4 = e0 % 22.82/5.89 | % 22.82/5.89 | Equations (481) can reduce 47 to: % 22.82/5.89 | (298) $false % 22.82/5.89 | % 22.82/5.89 |-The branch is then unsatisfiable % 22.82/5.89 |-Branch two: % 22.82/5.89 | (1224) ~ (all_0_45_45 = e4) % 22.82/5.89 | (2314) all_0_46_46 = e4 | all_0_48_48 = e4 % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (2314), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (933) all_0_46_46 = e4 % 22.82/5.89 | % 22.82/5.89 | Combining equations (933,358) yields a new equation: % 22.82/5.89 | (408) e4 = e2 % 22.82/5.89 | % 22.82/5.89 | Simplifying 408 yields: % 22.82/5.89 | (409) e4 = e2 % 22.82/5.89 | % 22.82/5.89 | Equations (409) can reduce 46 to: % 22.82/5.89 | (298) $false % 22.82/5.89 | % 22.82/5.89 |-The branch is then unsatisfiable % 22.82/5.89 |-Branch two: % 22.82/5.89 | (936) ~ (all_0_46_46 = e4) % 22.82/5.89 | (687) all_0_48_48 = e4 % 22.82/5.89 | % 22.82/5.89 | Equations (687) can reduce 16 to: % 22.82/5.89 | (601) ~ (all_0_43_43 = e4) % 22.82/5.89 | % 22.82/5.89 | Equations (687) can reduce 711 to: % 22.82/5.89 | (184) ~ (e4 = e3) % 22.82/5.89 | % 22.82/5.89 | From (687) and (202) follows: % 22.82/5.89 | (2323) op(e3, e0) = e4 % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (63), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (495) all_0_44_44 = e4 % 22.82/5.89 | % 22.82/5.89 | Combining equations (495,892) yields a new equation: % 22.82/5.89 | (391) e4 = e3 % 22.82/5.89 | % 22.82/5.89 | Simplifying 391 yields: % 22.82/5.89 | (392) e4 = e3 % 22.82/5.89 | % 22.82/5.89 | Equations (392) can reduce 184 to: % 22.82/5.89 | (298) $false % 22.82/5.89 | % 22.82/5.89 |-The branch is then unsatisfiable % 22.82/5.89 |-Branch two: % 22.82/5.89 | (610) ~ (all_0_44_44 = e4) % 22.82/5.89 | (615) all_0_49_49 = e4 | all_0_56_56 = e4 % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (125), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (479) all_0_40_40 = e4 % 22.82/5.89 | % 22.82/5.89 | Equations (479) can reduce 64 to: % 22.82/5.89 | (1980) ~ (all_0_57_57 = e4) % 22.82/5.89 | % 22.82/5.89 | Simplifying 1980 yields: % 22.82/5.89 | (411) ~ (all_0_57_57 = e4) % 22.82/5.89 | % 22.82/5.89 | From (479) and (233) follows: % 22.82/5.89 | (763) op(e4, e3) = e4 % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (615), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (506) all_0_49_49 = e4 % 22.82/5.89 | % 22.82/5.89 | Equations (506) can reduce 44 to: % 22.82/5.89 | (2335) ~ (all_0_52_52 = e4) % 22.82/5.89 | % 22.82/5.89 | Simplifying 2335 yields: % 22.82/5.89 | (695) ~ (all_0_52_52 = e4) % 22.82/5.89 | % 22.82/5.89 | Equations (506) can reduce 106 to: % 22.82/5.89 | (2005) ~ (all_0_56_56 = e4) % 22.82/5.89 | % 22.82/5.89 | Simplifying 2005 yields: % 22.82/5.89 | (394) ~ (all_0_56_56 = e4) % 22.82/5.89 | % 22.82/5.89 | Equations (506) can reduce 86 to: % 22.82/5.89 | (46) ~ (e4 = e2) % 22.82/5.89 | % 22.82/5.89 | From (506) and (110) follows: % 22.82/5.89 | (767) op(e2, e4) = e4 % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (239), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (322) all_0_57_57 = e1 % 22.82/5.89 | % 22.82/5.89 | Equations (322) can reduce 294 to: % 22.82/5.89 | (298) $false % 22.82/5.89 | % 22.82/5.89 |-The branch is then unsatisfiable % 22.82/5.89 |-Branch two: % 22.82/5.89 | (294) ~ (all_0_57_57 = e1) % 22.82/5.89 | (2344) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e2 | all_0_57_57 = e0 % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (2344), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (1242) all_0_57_57 = e0 % 22.82/5.89 | % 22.82/5.89 | Equations (1242) can reduce 307 to: % 22.82/5.89 | (298) $false % 22.82/5.89 | % 22.82/5.89 |-The branch is then unsatisfiable % 22.82/5.89 |-Branch two: % 22.82/5.89 | (307) ~ (all_0_57_57 = e0) % 22.82/5.89 | (2348) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e2 % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (2348), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (902) all_0_57_57 = e3 % 22.82/5.89 | % 22.82/5.89 | Equations (902) can reduce 152 to: % 22.82/5.89 | (890) ~ (all_0_56_56 = e3) % 22.82/5.89 | % 22.82/5.89 | Equations (902) can reduce 198 to: % 22.82/5.89 | (2351) ~ (all_0_59_59 = e3) % 22.82/5.89 | % 22.82/5.89 | Simplifying 2351 yields: % 22.82/5.89 | (910) ~ (all_0_59_59 = e3) % 22.82/5.89 | % 22.82/5.89 | Equations (902) can reduce 294 to: % 22.82/5.89 | (214) ~ (e3 = e1) % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (244), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (743) all_0_48_48 = e2 % 22.82/5.89 | % 22.82/5.89 | Combining equations (687,743) yields a new equation: % 22.82/5.89 | (408) e4 = e2 % 22.82/5.89 | % 22.82/5.89 | Simplifying 408 yields: % 22.82/5.89 | (409) e4 = e2 % 22.82/5.89 | % 22.82/5.89 | Equations (409) can reduce 46 to: % 22.82/5.89 | (298) $false % 22.82/5.89 | % 22.82/5.89 |-The branch is then unsatisfiable % 22.82/5.89 |-Branch two: % 22.82/5.89 | (363) ~ (all_0_48_48 = e2) % 22.82/5.89 | (927) all_0_52_52 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (251), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (469) all_0_42_42 = e3 % 22.82/5.89 | % 22.82/5.89 | Equations (469) can reduce 131 to: % 22.82/5.89 | (213) ~ (e3 = e2) % 22.82/5.89 | % 22.82/5.89 | From (469) and (2) follows: % 22.82/5.89 | (474) op(e4, e1) = e3 % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (70), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (314) all_0_56_56 = e1 % 22.82/5.89 | % 22.82/5.89 | Equations (314) can reduce 279 to: % 22.82/5.89 | (298) $false % 22.82/5.89 | % 22.82/5.89 |-The branch is then unsatisfiable % 22.82/5.89 |-Branch two: % 22.82/5.89 | (279) ~ (all_0_56_56 = e1) % 22.82/5.89 | (1499) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0 % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (245), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (372) all_0_57_57 = e2 % 22.82/5.89 | % 22.82/5.89 | Combining equations (372,902) yields a new equation: % 22.82/5.89 | (567) e3 = e2 % 22.82/5.89 | % 22.82/5.89 | Equations (567) can reduce 213 to: % 22.82/5.89 | (298) $false % 22.82/5.89 | % 22.82/5.89 |-The branch is then unsatisfiable % 22.82/5.89 |-Branch two: % 22.82/5.89 | (922) ~ (all_0_57_57 = e2) % 22.82/5.89 | (923) all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 22.82/5.89 | % 22.82/5.89 | Equations (902) can reduce 922 to: % 22.82/5.89 | (213) ~ (e3 = e2) % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (1499), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (653) all_0_56_56 = e0 % 22.82/5.89 | % 22.82/5.89 | From (653) and (48) follows: % 22.82/5.89 | (812) op(e0, e4) = e0 % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (215), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (341) all_0_59_59 = e1 % 22.82/5.89 | % 22.82/5.89 | Equations (341) can reduce 2156 to: % 22.82/5.89 | (298) $false % 22.82/5.89 | % 22.82/5.89 |-The branch is then unsatisfiable % 22.82/5.89 |-Branch two: % 22.82/5.89 | (2156) ~ (all_0_59_59 = e1) % 22.82/5.89 | (2378) all_0_59_59 = e3 | all_0_59_59 = e2 | all_0_59_59 = e0 % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (927), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (938) all_0_52_52 = e2 % 22.82/5.89 | % 22.82/5.89 | Equations (938) can reduce 22 to: % 22.82/5.89 | (885) ~ (all_0_51_51 = e2) % 22.82/5.89 | % 22.82/5.89 | Equations (938) can reduce 695 to: % 22.82/5.89 | (399) ~ (e4 = e2) % 22.82/5.89 | % 22.82/5.89 | Simplifying 399 yields: % 22.82/5.89 | (46) ~ (e4 = e2) % 22.82/5.89 | % 22.82/5.89 | Equations (938) can reduce 2161 to: % 22.82/5.89 | (134) ~ (e2 = e1) % 22.82/5.89 | % 22.82/5.89 | From (938) and (217) follows: % 22.82/5.89 | (2384) op(e2, e0) = e2 % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (201), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (1704) all_0_51_51 = e1 % 22.82/5.89 | % 22.82/5.89 | Equations (1704) can reduce 344 to: % 22.82/5.89 | (298) $false % 22.82/5.89 | % 22.82/5.89 |-The branch is then unsatisfiable % 22.82/5.89 |-Branch two: % 22.82/5.89 | (344) ~ (all_0_51_51 = e1) % 22.82/5.89 | (1707) all_0_51_51 = e2 | all_0_51_51 = e0 % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (1707), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (1730) all_0_51_51 = e0 % 22.82/5.89 | % 22.82/5.89 | Equations (1730) can reduce 344 to: % 22.82/5.89 | (526) ~ (e1 = e0) % 22.82/5.89 | % 22.82/5.89 | Simplifying 526 yields: % 22.82/5.89 | (231) ~ (e1 = e0) % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (32), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (368) all_0_47_47 = e2 % 22.82/5.89 | % 22.82/5.89 | Combining equations (368,487) yields a new equation: % 22.82/5.89 | (887) e2 = e1 % 22.82/5.89 | % 22.82/5.89 | Simplifying 887 yields: % 22.82/5.89 | (544) e2 = e1 % 22.82/5.89 | % 22.82/5.89 | Equations (544) can reduce 134 to: % 22.82/5.89 | (298) $false % 22.82/5.89 | % 22.82/5.89 |-The branch is then unsatisfiable % 22.82/5.89 |-Branch two: % 22.82/5.89 | (361) ~ (all_0_47_47 = e2) % 22.82/5.89 | (371) all_0_51_51 = e2 | all_0_59_59 = e2 % 22.82/5.89 | % 22.82/5.89 | Equations (487) can reduce 361 to: % 22.82/5.89 | (263) ~ (e2 = e1) % 22.82/5.89 | % 22.82/5.89 | Simplifying 263 yields: % 22.82/5.89 | (134) ~ (e2 = e1) % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (923), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (955) all_0_58_58 = e2 % 22.82/5.89 | % 22.82/5.89 | Combining equations (413,955) yields a new equation: % 22.82/5.89 | (408) e4 = e2 % 22.82/5.89 | % 22.82/5.89 | Simplifying 408 yields: % 22.82/5.89 | (409) e4 = e2 % 22.82/5.89 | % 22.82/5.89 | Equations (409) can reduce 46 to: % 22.82/5.89 | (298) $false % 22.82/5.89 | % 22.82/5.89 |-The branch is then unsatisfiable % 22.82/5.89 |-Branch two: % 22.82/5.89 | (958) ~ (all_0_58_58 = e2) % 22.82/5.89 | (959) all_0_59_59 = e2 | all_0_60_60 = e2 % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (959), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (886) all_0_59_59 = e2 % 22.82/5.89 | % 22.82/5.89 | Equations (886) can reduce 2156 to: % 22.82/5.89 | (134) ~ (e2 = e1) % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (55), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (529) unit = e1 % 22.82/5.89 | % 22.82/5.89 | From (529) and (60) follows: % 22.82/5.89 | (1391) op(e1, e0) = e0 % 22.82/5.89 | % 22.82/5.89 | From (529) and (243) follows: % 22.82/5.89 | (530) op(e4, e1) = e4 % 22.82/5.89 | % 22.82/5.89 | From (529) and (221) follows: % 22.82/5.89 | (532) op(e1, e1) = e1 % 22.82/5.89 | % 22.82/5.89 | Instantiating formula (206) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 22.82/5.89 | (392) e4 = e3 % 22.82/5.89 | % 22.82/5.89 | Instantiating formula (206) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 22.82/5.89 | (535) e4 = e1 % 22.82/5.89 | % 22.82/5.89 | Instantiating formula (206) with e1, e0, e0, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e0, yields: % 22.82/5.89 | (534) e3 = e0 % 22.82/5.89 | % 22.82/5.89 | Combining equations (535,392) yields a new equation: % 22.82/5.89 | (420) e3 = e1 % 22.82/5.89 | % 22.82/5.89 | Combining equations (420,534) yields a new equation: % 22.82/5.89 | (296) e1 = e0 % 22.82/5.89 | % 22.82/5.89 | Simplifying 296 yields: % 22.82/5.89 | (297) e1 = e0 % 22.82/5.89 | % 22.82/5.89 | Equations (297) can reduce 231 to: % 22.82/5.89 | (298) $false % 22.82/5.89 | % 22.82/5.89 |-The branch is then unsatisfiable % 22.82/5.89 |-Branch two: % 22.82/5.89 | (540) ~ (unit = e1) % 22.82/5.89 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (541), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (542) unit = e0 % 22.82/5.89 | % 22.82/5.89 | Equations (542) can reduce 540 to: % 22.82/5.89 | (526) ~ (e1 = e0) % 22.82/5.89 | % 22.82/5.89 | Simplifying 526 yields: % 22.82/5.89 | (231) ~ (e1 = e0) % 22.82/5.89 | % 22.82/5.89 | From (542) and (162) follows: % 22.82/5.89 | (1387) op(e0, e4) = e4 % 22.82/5.89 | % 22.82/5.89 | From (542) and (74) follows: % 22.82/5.89 | (494) op(e3, e0) = e3 % 22.82/5.89 | % 22.82/5.89 | From (542) and (221) follows: % 22.82/5.89 | (543) op(e1, e0) = e1 % 22.82/5.89 | % 22.82/5.89 | Instantiating formula (206) with e3, e0, e3, e4 and discharging atoms op(e3, e0) = e4, op(e3, e0) = e3, yields: % 22.82/5.89 | (392) e4 = e3 % 22.82/5.89 | % 22.82/5.89 | Instantiating formula (206) with e1, e0, e1, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e1, yields: % 22.82/5.89 | (420) e3 = e1 % 22.82/5.89 | % 22.82/5.89 | Instantiating formula (206) with e0, e4, e4, e0 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e0, yields: % 22.82/5.89 | (481) e4 = e0 % 22.82/5.89 | % 22.82/5.89 | Combining equations (481,392) yields a new equation: % 22.82/5.89 | (534) e3 = e0 % 22.82/5.89 | % 22.82/5.89 | Combining equations (534,420) yields a new equation: % 22.82/5.89 | (297) e1 = e0 % 22.82/5.89 | % 22.82/5.89 | Equations (297) can reduce 231 to: % 22.82/5.89 | (298) $false % 22.82/5.89 | % 22.82/5.89 |-The branch is then unsatisfiable % 22.82/5.89 |-Branch two: % 22.82/5.89 | (546) ~ (unit = e0) % 22.82/5.89 | (547) unit = e4 | unit = e3 | unit = e2 % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (547), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (548) unit = e3 % 22.82/5.89 | % 22.82/5.89 | From (548) and (221) follows: % 22.82/5.89 | (550) op(e1, e3) = e1 % 22.82/5.89 | % 22.82/5.89 | Instantiating formula (206) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 22.82/5.89 | (544) e2 = e1 % 22.82/5.89 | % 22.82/5.89 | Equations (544) can reduce 134 to: % 22.82/5.89 | (298) $false % 22.82/5.89 | % 22.82/5.89 |-The branch is then unsatisfiable % 22.82/5.89 |-Branch two: % 22.82/5.89 | (555) ~ (unit = e3) % 22.82/5.89 | (556) unit = e4 | unit = e2 % 22.82/5.89 | % 22.82/5.89 +-Applying beta-rule and splitting (556), into two cases. % 22.82/5.89 |-Branch one: % 22.82/5.89 | (557) unit = e4 % 22.82/5.89 | % 22.82/5.89 | From (557) and (143) follows: % 22.82/5.89 | (809) op(e4, e3) = e3 % 22.82/5.89 | % 22.82/5.89 | From (557) and (100) follows: % 22.82/5.89 | (2443) op(e4, e1) = e1 % 22.82/5.89 | % 22.82/5.89 | From (557) and (66) follows: % 22.82/5.89 | (811) op(e2, e4) = e2 % 22.82/5.89 | % 22.82/5.89 | Instantiating formula (206) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 22.82/5.90 | (392) e4 = e3 % 22.82/5.90 | % 22.82/5.90 | Instantiating formula (206) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 22.82/5.90 | (420) e3 = e1 % 22.82/5.90 | % 22.82/5.90 | Instantiating formula (206) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 22.82/5.90 | (409) e4 = e2 % 22.82/5.90 | % 22.82/5.90 | Combining equations (409,392) yields a new equation: % 22.82/5.90 | (567) e3 = e2 % 22.82/5.90 | % 22.82/5.90 | Combining equations (567,420) yields a new equation: % 22.82/5.90 | (887) e2 = e1 % 22.82/5.90 | % 22.82/5.90 | Simplifying 887 yields: % 22.82/5.90 | (544) e2 = e1 % 22.82/5.90 | % 22.82/5.90 | Equations (544) can reduce 134 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (573) ~ (unit = e4) % 22.82/5.90 | (574) unit = e2 % 22.82/5.90 | % 22.82/5.90 | From (574) and (143) follows: % 22.82/5.90 | (575) op(e2, e3) = e3 % 22.82/5.90 | % 22.82/5.90 | From (574) and (60) follows: % 22.82/5.90 | (2455) op(e2, e0) = e0 % 22.82/5.90 | % 22.82/5.90 | From (574) and (66) follows: % 22.82/5.90 | (577) op(e2, e2) = e2 % 22.82/5.90 | % 22.82/5.90 | Instantiating formula (206) with e2, e3, e3, e1 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e1, yields: % 22.82/5.90 | (420) e3 = e1 % 22.82/5.90 | % 22.82/5.90 | Instantiating formula (206) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 22.82/5.90 | (567) e3 = e2 % 22.82/5.90 | % 22.82/5.90 | Instantiating formula (206) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 22.82/5.90 | (569) e2 = e0 % 22.82/5.90 | % 22.82/5.90 | Combining equations (420,567) yields a new equation: % 22.82/5.90 | (544) e2 = e1 % 22.82/5.90 | % 22.82/5.90 | Combining equations (544,569) yields a new equation: % 22.82/5.90 | (296) e1 = e0 % 22.82/5.90 | % 22.82/5.90 | Simplifying 296 yields: % 22.82/5.90 | (297) e1 = e0 % 22.82/5.90 | % 22.82/5.90 | Equations (297) can reduce 231 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (963) ~ (all_0_59_59 = e2) % 22.82/5.90 | (964) all_0_60_60 = e2 % 22.82/5.90 | % 22.82/5.90 | Combining equations (964,2157) yields a new equation: % 22.82/5.90 | (887) e2 = e1 % 22.82/5.90 | % 22.82/5.90 | Simplifying 887 yields: % 22.82/5.90 | (544) e2 = e1 % 22.82/5.90 | % 22.82/5.90 | Equations (544) can reduce 134 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (1871) ~ (all_0_51_51 = e0) % 22.82/5.90 | (396) all_0_51_51 = e2 % 22.82/5.90 | % 22.82/5.90 | Equations (396) can reduce 885 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (941) ~ (all_0_52_52 = e2) % 22.82/5.90 | (942) all_0_55_55 = e2 | all_0_60_60 = e2 % 22.82/5.90 | % 22.82/5.90 +-Applying beta-rule and splitting (942), into two cases. % 22.82/5.90 |-Branch one: % 22.82/5.90 | (385) all_0_55_55 = e2 % 22.82/5.90 | % 22.82/5.90 | Combining equations (876,385) yields a new equation: % 22.82/5.90 | (877) e3 = e2 % 22.82/5.90 | % 22.82/5.90 | Simplifying 877 yields: % 22.82/5.90 | (567) e3 = e2 % 22.82/5.90 | % 22.82/5.90 | Equations (567) can reduce 213 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (968) ~ (all_0_55_55 = e2) % 22.82/5.90 | (964) all_0_60_60 = e2 % 22.82/5.90 | % 22.82/5.90 | Combining equations (964,2157) yields a new equation: % 22.82/5.90 | (887) e2 = e1 % 22.82/5.90 | % 22.82/5.90 | Simplifying 887 yields: % 22.82/5.90 | (544) e2 = e1 % 22.82/5.90 | % 22.82/5.90 | Equations (544) can reduce 134 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (306) ~ (all_0_56_56 = e0) % 22.82/5.90 | (1503) all_0_56_56 = e4 | all_0_56_56 = e3 % 22.82/5.90 | % 22.82/5.90 +-Applying beta-rule and splitting (1503), into two cases. % 22.82/5.90 |-Branch one: % 22.82/5.90 | (376) all_0_56_56 = e3 % 22.82/5.90 | % 22.82/5.90 | Equations (376) can reduce 890 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (890) ~ (all_0_56_56 = e3) % 22.82/5.90 | (390) all_0_56_56 = e4 % 22.82/5.90 | % 22.82/5.90 | Equations (390) can reduce 394 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (847) ~ (all_0_42_42 = e3) % 22.82/5.90 | (1512) all_0_47_47 = e3 | all_0_59_59 = e3 % 22.82/5.90 | % 22.82/5.90 +-Applying beta-rule and splitting (1512), into two cases. % 22.82/5.90 |-Branch one: % 22.82/5.90 | (591) all_0_47_47 = e3 % 22.82/5.90 | % 22.82/5.90 | Combining equations (591,487) yields a new equation: % 22.82/5.90 | (1084) e3 = e1 % 22.82/5.90 | % 22.82/5.90 | Simplifying 1084 yields: % 22.82/5.90 | (420) e3 = e1 % 22.82/5.90 | % 22.82/5.90 | Equations (420) can reduce 214 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (493) ~ (all_0_47_47 = e3) % 22.82/5.90 | (907) all_0_59_59 = e3 % 22.82/5.90 | % 22.82/5.90 | Equations (907) can reduce 910 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (905) ~ (all_0_57_57 = e3) % 22.82/5.90 | (2500) all_0_57_57 = e4 | all_0_57_57 = e2 % 22.82/5.90 | % 22.82/5.90 +-Applying beta-rule and splitting (2500), into two cases. % 22.82/5.90 |-Branch one: % 22.82/5.90 | (407) all_0_57_57 = e4 % 22.82/5.90 | % 22.82/5.90 | Equations (407) can reduce 411 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (411) ~ (all_0_57_57 = e4) % 22.82/5.90 | (372) all_0_57_57 = e2 % 22.82/5.90 | % 22.82/5.90 | Equations (372) can reduce 922 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (497) ~ (all_0_49_49 = e4) % 22.82/5.90 | (390) all_0_56_56 = e4 % 22.82/5.90 | % 22.82/5.90 | Equations (390) can reduce 394 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (483) ~ (all_0_40_40 = e4) % 22.82/5.90 | (484) all_0_45_45 = e4 | all_0_50_50 = e4 | all_0_57_57 = e4 % 22.82/5.90 | % 22.82/5.90 +-Applying beta-rule and splitting (216), into two cases. % 22.82/5.90 |-Branch one: % 22.82/5.90 | (479) all_0_40_40 = e4 % 22.82/5.90 | % 22.82/5.90 | Equations (479) can reduce 483 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (483) ~ (all_0_40_40 = e4) % 22.82/5.90 | (515) all_0_41_41 = e4 | all_0_43_43 = e4 % 22.82/5.90 | % 22.82/5.90 +-Applying beta-rule and splitting (226), into two cases. % 22.82/5.90 |-Branch one: % 22.82/5.90 | (506) all_0_49_49 = e4 % 22.82/5.90 | % 22.82/5.90 | Equations (506) can reduce 329 to: % 22.82/5.90 | (115) ~ (e4 = e1) % 22.82/5.90 | % 22.82/5.90 +-Applying beta-rule and splitting (515), into two cases. % 22.82/5.90 |-Branch one: % 22.82/5.90 | (603) all_0_41_41 = e4 % 22.82/5.90 | % 22.82/5.90 | Combining equations (603,253) yields a new equation: % 22.82/5.90 | (598) e4 = e1 % 22.82/5.90 | % 22.82/5.90 | Simplifying 598 yields: % 22.82/5.90 | (535) e4 = e1 % 22.82/5.90 | % 22.82/5.90 | Equations (535) can reduce 115 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (607) ~ (all_0_41_41 = e4) % 22.82/5.90 | (520) all_0_43_43 = e4 % 22.82/5.90 | % 22.82/5.90 | Equations (520) can reduce 601 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (497) ~ (all_0_49_49 = e4) % 22.82/5.90 | (509) all_0_50_50 = e4 | all_0_52_52 = e4 % 22.82/5.90 | % 22.82/5.90 +-Applying beta-rule and splitting (70), into two cases. % 22.82/5.90 |-Branch one: % 22.82/5.90 | (314) all_0_56_56 = e1 % 22.82/5.90 | % 22.82/5.90 | Equations (314) can reduce 279 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (279) ~ (all_0_56_56 = e1) % 22.82/5.90 | (1499) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0 % 22.82/5.90 | % 22.82/5.90 +-Applying beta-rule and splitting (1499), into two cases. % 22.82/5.90 |-Branch one: % 22.82/5.90 | (653) all_0_56_56 = e0 % 22.82/5.90 | % 22.82/5.90 | Equations (653) can reduce 394 to: % 22.82/5.90 | (485) ~ (e4 = e0) % 22.82/5.90 | % 22.82/5.90 | Simplifying 485 yields: % 22.82/5.90 | (47) ~ (e4 = e0) % 22.82/5.90 | % 22.82/5.90 +-Applying beta-rule and splitting (615), into two cases. % 22.82/5.90 |-Branch one: % 22.82/5.90 | (506) all_0_49_49 = e4 % 22.82/5.90 | % 22.82/5.90 | Equations (506) can reduce 497 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (497) ~ (all_0_49_49 = e4) % 22.82/5.90 | (390) all_0_56_56 = e4 % 22.82/5.90 | % 22.82/5.90 | Combining equations (653,390) yields a new equation: % 22.82/5.90 | (481) e4 = e0 % 22.82/5.90 | % 22.82/5.90 | Equations (481) can reduce 47 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (306) ~ (all_0_56_56 = e0) % 22.82/5.90 | (1503) all_0_56_56 = e4 | all_0_56_56 = e3 % 22.82/5.90 | % 22.82/5.90 +-Applying beta-rule and splitting (1503), into two cases. % 22.82/5.90 |-Branch one: % 22.82/5.90 | (376) all_0_56_56 = e3 % 22.82/5.90 | % 22.82/5.90 | Equations (376) can reduce 890 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (890) ~ (all_0_56_56 = e3) % 22.82/5.90 | (390) all_0_56_56 = e4 % 22.82/5.90 | % 22.82/5.90 | Equations (390) can reduce 394 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (973) ~ (all_0_46_46 = e2) % 22.82/5.90 | (955) all_0_58_58 = e2 % 22.82/5.90 | % 22.82/5.90 | Equations (955) can reduce 236 to: % 22.82/5.90 | (973) ~ (all_0_46_46 = e2) % 22.82/5.90 | % 22.82/5.90 | Equations (955) can reduce 230 to: % 22.82/5.90 | (26) ~ (all_0_56_56 = e2) % 22.82/5.90 | % 22.82/5.90 | Equations (955) can reduce 208 to: % 22.82/5.90 | (922) ~ (all_0_57_57 = e2) % 22.82/5.90 | % 22.82/5.90 | Equations (955) can reduce 25 to: % 22.82/5.90 | (2551) ~ (all_0_59_59 = e2) % 22.82/5.90 | % 22.82/5.90 | Simplifying 2551 yields: % 22.82/5.90 | (963) ~ (all_0_59_59 = e2) % 22.82/5.90 | % 22.82/5.90 | Equations (955) can reduce 262 to: % 22.82/5.90 | (134) ~ (e2 = e1) % 22.82/5.90 | % 22.82/5.90 | From (955) and (185) follows: % 22.82/5.90 | (981) op(e0, e2) = e2 % 22.82/5.90 | % 22.82/5.90 +-Applying beta-rule and splitting (32), into two cases. % 22.82/5.90 |-Branch one: % 22.82/5.90 | (368) all_0_47_47 = e2 % 22.82/5.90 | % 22.82/5.90 | Combining equations (368,487) yields a new equation: % 22.82/5.90 | (887) e2 = e1 % 22.82/5.90 | % 22.82/5.90 | Simplifying 887 yields: % 22.82/5.90 | (544) e2 = e1 % 22.82/5.90 | % 22.82/5.90 | Equations (544) can reduce 134 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (361) ~ (all_0_47_47 = e2) % 22.82/5.90 | (371) all_0_51_51 = e2 | all_0_59_59 = e2 % 22.82/5.90 | % 22.82/5.90 +-Applying beta-rule and splitting (192), into two cases. % 22.82/5.90 |-Branch one: % 22.82/5.90 | (982) all_0_46_46 = e1 % 22.82/5.90 | % 22.82/5.90 | Equations (982) can reduce 260 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (260) ~ (all_0_46_46 = e1) % 22.82/5.90 | (985) all_0_46_46 = e4 | all_0_46_46 = e2 % 22.82/5.90 | % 22.82/5.90 +-Applying beta-rule and splitting (371), into two cases. % 22.82/5.90 |-Branch one: % 22.82/5.90 | (396) all_0_51_51 = e2 % 22.82/5.90 | % 22.82/5.90 | Equations (396) can reduce 22 to: % 22.82/5.90 | (2566) ~ (all_0_52_52 = e2) % 22.82/5.90 | % 22.82/5.90 | Simplifying 2566 yields: % 22.82/5.90 | (941) ~ (all_0_52_52 = e2) % 22.82/5.90 | % 22.82/5.90 | Equations (396) can reduce 241 to: % 22.82/5.90 | (401) ~ (e3 = e2) % 22.82/5.90 | % 22.82/5.90 | Simplifying 401 yields: % 22.82/5.90 | (213) ~ (e3 = e2) % 22.82/5.90 | % 22.82/5.90 | Equations (396) can reduce 344 to: % 22.82/5.90 | (134) ~ (e2 = e1) % 22.82/5.90 | % 22.82/5.90 +-Applying beta-rule and splitting (985), into two cases. % 22.82/5.90 |-Branch one: % 22.82/5.90 | (933) all_0_46_46 = e4 % 22.82/5.90 | % 22.82/5.90 | Equations (933) can reduce 27 to: % 22.82/5.90 | (184) ~ (e4 = e3) % 22.82/5.90 | % 22.82/5.90 | Equations (933) can reduce 260 to: % 22.82/5.90 | (115) ~ (e4 = e1) % 22.82/5.90 | % 22.82/5.90 | From (933) and (13) follows: % 22.82/5.90 | (994) op(e3, e2) = e4 % 22.82/5.90 | % 22.82/5.90 +-Applying beta-rule and splitting (244), into two cases. % 22.82/5.90 |-Branch one: % 22.82/5.90 | (743) all_0_48_48 = e2 % 22.82/5.90 | % 22.82/5.90 | Equations (743) can reduce 303 to: % 22.82/5.90 | (139) ~ (e2 = e0) % 22.82/5.90 | % 22.82/5.90 | From (743) and (202) follows: % 22.82/5.90 | (1028) op(e3, e0) = e2 % 22.82/5.90 | % 22.82/5.90 +-Applying beta-rule and splitting (105), into two cases. % 22.82/5.90 |-Branch one: % 22.82/5.90 | (457) all_0_49_49 = e1 % 22.82/5.90 | % 22.82/5.90 | Equations (457) can reduce 329 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (329) ~ (all_0_49_49 = e1) % 22.82/5.90 | (460) all_0_49_49 = e4 | all_0_49_49 = e0 % 22.82/5.90 | % 22.82/5.90 +-Applying beta-rule and splitting (92), into two cases. % 22.82/5.90 |-Branch one: % 22.82/5.90 | (453) all_0_42_42 = e1 % 22.82/5.90 | % 22.82/5.90 | Equations (453) can reduce 256 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (256) ~ (all_0_42_42 = e1) % 22.82/5.90 | (456) all_0_42_42 = e3 | all_0_42_42 = e0 % 22.82/5.90 | % 22.82/5.90 +-Applying beta-rule and splitting (54), into two cases. % 22.82/5.90 |-Branch one: % 22.82/5.90 | (500) all_0_44_44 = e0 % 22.82/5.90 | % 22.82/5.90 | Combining equations (500,892) yields a new equation: % 22.82/5.90 | (534) e3 = e0 % 22.82/5.90 | % 22.82/5.90 | Equations (534) can reduce 84 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (503) ~ (all_0_44_44 = e0) % 22.82/5.90 | (504) all_0_49_49 = e0 | all_0_56_56 = e0 % 22.82/5.90 | % 22.82/5.90 +-Applying beta-rule and splitting (212), into two cases. % 22.82/5.90 |-Branch one: % 22.82/5.90 | (461) all_0_40_40 = e0 % 22.82/5.90 | % 22.82/5.90 | Equations (461) can reduce 745 to: % 22.82/5.90 | (298) $false % 22.82/5.90 | % 22.82/5.90 |-The branch is then unsatisfiable % 22.82/5.90 |-Branch two: % 22.82/5.90 | (745) ~ (all_0_40_40 = e0) % 22.82/5.90 | (746) all_0_42_42 = e0 | all_0_43_43 = e0 % 22.82/5.90 | % 22.82/5.90 +-Applying beta-rule and splitting (251), into two cases. % 22.82/5.90 |-Branch one: % 22.82/5.90 | (469) all_0_42_42 = e3 % 22.82/5.91 | % 22.82/5.91 | Equations (469) can reduce 118 to: % 22.82/5.91 | (2351) ~ (all_0_59_59 = e3) % 22.82/5.91 | % 22.82/5.91 | Simplifying 2351 yields: % 22.82/5.91 | (910) ~ (all_0_59_59 = e3) % 22.82/5.91 | % 22.82/5.91 | Equations (469) can reduce 247 to: % 22.82/5.91 | (472) ~ (e4 = e3) % 22.82/5.91 | % 22.82/5.91 | Simplifying 472 yields: % 22.82/5.91 | (184) ~ (e4 = e3) % 22.82/5.91 | % 22.82/5.91 | Equations (469) can reduce 256 to: % 22.82/5.91 | (214) ~ (e3 = e1) % 22.82/5.91 | % 22.82/5.91 | From (469) and (2) follows: % 22.82/5.91 | (474) op(e4, e1) = e3 % 22.82/5.91 | % 22.82/5.91 +-Applying beta-rule and splitting (215), into two cases. % 22.82/5.91 |-Branch one: % 22.82/5.91 | (341) all_0_59_59 = e1 % 22.82/5.91 | % 22.82/5.91 | Equations (341) can reduce 2156 to: % 22.82/5.91 | (298) $false % 22.82/5.91 | % 22.82/5.91 |-The branch is then unsatisfiable % 22.82/5.91 |-Branch two: % 22.82/5.91 | (2156) ~ (all_0_59_59 = e1) % 22.82/5.91 | (2378) all_0_59_59 = e3 | all_0_59_59 = e2 | all_0_59_59 = e0 % 22.82/5.91 | % 22.82/5.91 +-Applying beta-rule and splitting (96), into two cases. % 22.82/5.91 |-Branch one: % 22.82/5.91 | (376) all_0_56_56 = e3 % 22.82/5.91 | % 22.82/5.91 | Equations (376) can reduce 890 to: % 22.82/5.91 | (298) $false % 22.82/5.91 | % 22.82/5.91 |-The branch is then unsatisfiable % 22.82/5.91 |-Branch two: % 22.82/5.91 | (890) ~ (all_0_56_56 = e3) % 22.82/5.91 | (891) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 22.82/5.91 | % 22.82/5.91 +-Applying beta-rule and splitting (891), into two cases. % 22.82/5.91 |-Branch one: % 22.82/5.91 | (902) all_0_57_57 = e3 % 22.82/5.91 | % 22.82/5.91 | Equations (902) can reduce 64 to: % 22.82/5.91 | (425) ~ (all_0_40_40 = e3) % 22.82/5.91 | % 22.82/5.91 | Equations (902) can reduce 152 to: % 22.82/5.91 | (890) ~ (all_0_56_56 = e3) % 22.82/5.91 | % 22.82/5.91 | Equations (902) can reduce 307 to: % 22.82/5.91 | (84) ~ (e3 = e0) % 22.82/5.91 | % 22.82/5.91 | From (902) and (150) follows: % 22.82/5.91 | (1389) op(e0, e3) = e3 % 22.82/5.91 | % 22.82/5.91 +-Applying beta-rule and splitting (101), into two cases. % 22.82/5.91 |-Branch one: % 22.82/5.91 | (466) all_0_42_42 = e0 % 22.82/5.91 | % 22.82/5.91 | Combining equations (466,469) yields a new equation: % 22.82/5.91 | (534) e3 = e0 % 22.82/5.91 | % 22.82/5.91 | Equations (534) can reduce 84 to: % 22.82/5.91 | (298) $false % 22.82/5.91 | % 22.82/5.91 |-The branch is then unsatisfiable % 22.82/5.91 |-Branch two: % 22.82/5.91 | (463) ~ (all_0_42_42 = e0) % 22.82/5.91 | (841) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_59_59 = e0 % 22.82/5.91 | % 22.82/5.91 +-Applying beta-rule and splitting (841), into two cases. % 22.82/5.91 |-Branch one: % 22.82/5.91 | (525) all_0_47_47 = e0 % 22.82/5.91 | % 22.82/5.91 | Combining equations (525,487) yields a new equation: % 22.82/5.91 | (297) e1 = e0 % 22.82/5.91 | % 22.82/5.91 | Equations (297) can reduce 231 to: % 22.82/5.91 | (298) $false % 22.82/5.91 | % 22.82/5.91 |-The branch is then unsatisfiable % 22.82/5.91 |-Branch two: % 22.82/5.91 | (589) ~ (all_0_47_47 = e0) % 22.82/5.91 | (2624) all_0_51_51 = e0 | all_0_59_59 = e0 % 22.82/5.91 | % 22.82/5.91 +-Applying beta-rule and splitting (125), into two cases. % 22.82/5.91 |-Branch one: % 22.82/5.91 | (479) all_0_40_40 = e4 % 22.82/5.91 | % 22.82/5.91 | Equations (479) can reduce 425 to: % 22.82/5.91 | (184) ~ (e4 = e3) % 22.82/5.91 | % 22.82/5.91 +-Applying beta-rule and splitting (2378), into two cases. % 22.82/5.91 |-Branch one: % 22.82/5.91 | (2627) all_0_59_59 = e0 % 22.82/5.91 | % 22.82/5.91 | Equations (2627) can reduce 99 to: % 22.82/5.91 | (306) ~ (all_0_56_56 = e0) % 22.82/5.91 | % 22.82/5.91 +-Applying beta-rule and splitting (237), into two cases. % 22.82/5.91 |-Branch one: % 22.82/5.91 | (390) all_0_56_56 = e4 % 22.82/5.91 | % 22.82/5.91 | Equations (390) can reduce 106 to: % 22.82/5.91 | (497) ~ (all_0_49_49 = e4) % 22.82/5.91 | % 22.82/5.91 | Equations (390) can reduce 279 to: % 22.82/5.91 | (115) ~ (e4 = e1) % 22.82/5.91 | % 22.82/5.91 | From (390) and (48) follows: % 22.82/5.91 | (1387) op(e0, e4) = e4 % 22.82/5.91 | % 22.82/5.91 +-Applying beta-rule and splitting (226), into two cases. % 22.82/5.91 |-Branch one: % 22.82/5.91 | (506) all_0_49_49 = e4 % 22.82/5.91 | % 22.82/5.91 | Equations (506) can reduce 497 to: % 22.82/5.91 | (298) $false % 22.82/5.91 | % 22.82/5.91 |-The branch is then unsatisfiable % 22.82/5.91 |-Branch two: % 22.82/5.91 | (497) ~ (all_0_49_49 = e4) % 22.82/5.91 | (509) all_0_50_50 = e4 | all_0_52_52 = e4 % 22.82/5.91 | % 22.82/5.91 +-Applying beta-rule and splitting (509), into two cases. % 22.82/5.91 |-Branch one: % 22.82/5.91 | (523) all_0_50_50 = e4 % 22.82/5.91 | % 22.82/5.91 | Combining equations (771,523) yields a new equation: % 22.82/5.91 | (535) e4 = e1 % 22.82/5.91 | % 22.82/5.91 | Equations (535) can reduce 115 to: % 22.82/5.91 | (298) $false % 22.82/5.91 | % 22.82/5.91 |-The branch is then unsatisfiable % 22.82/5.91 |-Branch two: % 22.82/5.91 | (596) ~ (all_0_50_50 = e4) % 22.82/5.91 | (597) all_0_52_52 = e4 % 22.82/5.91 | % 22.82/5.91 | Equations (597) can reduce 44 to: % 22.82/5.91 | (497) ~ (all_0_49_49 = e4) % 22.82/5.91 | % 22.82/5.91 | From (597) and (217) follows: % 22.82/5.91 | (2643) op(e2, e0) = e4 % 22.82/5.91 | % 22.82/5.91 +-Applying beta-rule and splitting (167), into two cases. % 22.82/5.91 |-Branch one: % 22.82/5.91 | (310) all_0_43_43 = e1 % 22.82/5.91 | % 22.82/5.91 | Equations (310) can reduce 258 to: % 22.82/5.91 | (298) $false % 22.82/5.91 | % 22.82/5.91 |-The branch is then unsatisfiable % 22.82/5.91 |-Branch two: % 22.82/5.91 | (258) ~ (all_0_43_43 = e1) % 22.82/5.91 | (519) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e0 % 22.82/5.91 | % 22.82/5.91 +-Applying beta-rule and splitting (129), into two cases. % 22.82/5.91 |-Branch one: % 22.82/5.91 | (637) all_0_49_49 = e0 % 22.82/5.91 | % 22.82/5.91 | Equations (637) can reduce 111 to: % 22.82/5.91 | (620) ~ (e3 = e0) % 22.82/5.91 | % 22.82/5.91 | Simplifying 620 yields: % 22.82/5.91 | (84) ~ (e3 = e0) % 22.82/5.91 | % 22.82/5.91 +-Applying beta-rule and splitting (12), into two cases. % 22.82/5.91 |-Branch one: % 22.82/5.91 | (1253) all_0_43_43 = e0 % 22.82/5.91 | % 22.82/5.91 | Equations (1253) can reduce 258 to: % 22.82/5.91 | (526) ~ (e1 = e0) % 22.82/5.91 | % 22.82/5.91 | Simplifying 526 yields: % 22.82/5.91 | (231) ~ (e1 = e0) % 22.82/5.91 | % 22.82/5.91 | From (1253) and (34) follows: % 22.82/5.91 | (559) op(e4, e0) = e0 % 22.82/5.91 | % 22.82/5.91 +-Applying beta-rule and splitting (55), into two cases. % 22.82/5.91 |-Branch one: % 22.82/5.91 | (529) unit = e1 % 22.82/5.91 | % 22.82/5.91 | From (529) and (60) follows: % 22.82/5.91 | (1391) op(e1, e0) = e0 % 22.82/5.91 | % 22.82/5.91 | From (529) and (243) follows: % 22.82/5.91 | (530) op(e4, e1) = e4 % 22.82/5.91 | % 22.82/5.91 | From (529) and (221) follows: % 22.82/5.91 | (532) op(e1, e1) = e1 % 22.82/5.91 | % 22.82/5.91 | Instantiating formula (206) with e4, e1, e4, e3 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e3, yields: % 22.82/5.91 | (392) e4 = e3 % 22.82/5.91 | % 22.82/5.91 | Instantiating formula (206) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 22.82/5.91 | (535) e4 = e1 % 22.82/5.91 | % 22.82/5.91 | Instantiating formula (206) with e1, e0, e0, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e0, yields: % 22.82/5.91 | (534) e3 = e0 % 22.82/5.91 | % 22.82/5.91 | Combining equations (535,392) yields a new equation: % 22.82/5.91 | (420) e3 = e1 % 22.82/5.91 | % 22.82/5.91 | Combining equations (420,534) yields a new equation: % 22.82/5.91 | (296) e1 = e0 % 22.82/5.91 | % 22.82/5.91 | Simplifying 296 yields: % 22.82/5.91 | (297) e1 = e0 % 22.82/5.91 | % 22.82/5.91 | Equations (297) can reduce 231 to: % 22.82/5.91 | (298) $false % 22.82/5.91 | % 22.82/5.91 |-The branch is then unsatisfiable % 22.82/5.91 |-Branch two: % 22.82/5.91 | (540) ~ (unit = e1) % 22.82/5.91 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 22.82/5.91 | % 22.82/5.91 +-Applying beta-rule and splitting (541), into two cases. % 22.82/5.91 |-Branch one: % 22.82/5.91 | (542) unit = e0 % 22.82/5.91 | % 22.82/5.91 | Equations (542) can reduce 540 to: % 22.82/5.91 | (526) ~ (e1 = e0) % 22.82/5.91 | % 22.82/5.91 | Simplifying 526 yields: % 22.82/5.91 | (231) ~ (e1 = e0) % 22.82/5.91 | % 22.82/5.91 | From (542) and (243) follows: % 22.82/5.91 | (522) op(e4, e0) = e4 % 22.82/5.91 | % 22.82/5.91 | From (542) and (74) follows: % 22.82/5.91 | (494) op(e3, e0) = e3 % 22.82/5.91 | % 22.82/5.91 | From (542) and (66) follows: % 22.82/5.91 | (2384) op(e2, e0) = e2 % 22.82/5.91 | % 22.82/5.91 | From (542) and (221) follows: % 22.82/5.91 | (543) op(e1, e0) = e1 % 22.82/5.91 | % 22.82/5.91 | Instantiating formula (206) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 22.82/5.91 | (481) e4 = e0 % 22.82/5.91 | % 22.82/5.91 | Instantiating formula (206) with e3, e0, e3, e2 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e2, yields: % 22.82/5.91 | (567) e3 = e2 % 22.82/5.91 | % 22.82/5.91 | Instantiating formula (206) with e2, e0, e2, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e2, yields: % 22.82/5.91 | (409) e4 = e2 % 22.82/5.91 | % 22.82/5.91 | Instantiating formula (206) with e1, e0, e1, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e1, yields: % 22.82/5.91 | (420) e3 = e1 % 22.82/5.91 | % 22.82/5.91 | Combining equations (409,481) yields a new equation: % 22.82/5.91 | (568) e2 = e0 % 22.82/5.91 | % 22.82/5.91 | Simplifying 568 yields: % 22.82/5.91 | (569) e2 = e0 % 22.82/5.91 | % 22.82/5.91 | Combining equations (567,420) yields a new equation: % 22.82/5.91 | (887) e2 = e1 % 22.82/5.91 | % 22.82/5.91 | Simplifying 887 yields: % 22.82/5.91 | (544) e2 = e1 % 22.82/5.91 | % 22.82/5.91 | Combining equations (544,569) yields a new equation: % 22.82/5.91 | (296) e1 = e0 % 22.82/5.91 | % 22.82/5.91 | Simplifying 296 yields: % 22.82/5.91 | (297) e1 = e0 % 22.82/5.91 | % 22.82/5.91 | Equations (297) can reduce 231 to: % 22.82/5.91 | (298) $false % 22.82/5.91 | % 22.82/5.91 |-The branch is then unsatisfiable % 22.82/5.91 |-Branch two: % 22.82/5.91 | (546) ~ (unit = e0) % 22.82/5.91 | (547) unit = e4 | unit = e3 | unit = e2 % 22.82/5.91 | % 22.82/5.91 +-Applying beta-rule and splitting (547), into two cases. % 22.82/5.91 |-Branch one: % 22.82/5.91 | (548) unit = e3 % 22.82/5.91 | % 22.82/5.91 | From (548) and (162) follows: % 22.82/5.91 | (499) op(e3, e4) = e4 % 22.82/5.91 | % 22.82/5.91 | From (548) and (24) follows: % 22.82/5.91 | (1180) op(e3, e2) = e2 % 22.82/5.91 | % 22.82/5.91 | From (548) and (221) follows: % 22.82/5.91 | (550) op(e1, e3) = e1 % 22.82/5.91 | % 22.82/5.91 | From (548) and (67) follows: % 22.82/5.91 | (803) op(e0, e3) = e0 % 22.82/5.91 | % 22.82/5.91 | Instantiating formula (206) with e3, e4, e4, e3 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e3, yields: % 22.82/5.91 | (392) e4 = e3 % 22.82/5.91 | % 22.82/5.91 | Instantiating formula (206) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields: % 22.82/5.91 | (409) e4 = e2 % 22.82/5.91 | % 22.82/5.91 | Instantiating formula (206) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 22.82/5.91 | (544) e2 = e1 % 22.82/5.91 | % 22.82/5.91 | Instantiating formula (206) with e0, e3, e0, e3 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields: % 22.82/5.91 | (534) e3 = e0 % 22.82/5.91 | % 22.82/5.91 | Combining equations (409,392) yields a new equation: % 22.82/5.91 | (567) e3 = e2 % 22.82/5.91 | % 22.82/5.91 | Combining equations (567,534) yields a new equation: % 22.82/5.91 | (568) e2 = e0 % 22.82/5.91 | % 22.82/5.91 | Simplifying 568 yields: % 22.82/5.91 | (569) e2 = e0 % 22.82/5.91 | % 22.82/5.91 | Combining equations (544,569) yields a new equation: % 22.82/5.91 | (296) e1 = e0 % 22.82/5.91 | % 22.82/5.91 | Simplifying 296 yields: % 22.82/5.91 | (297) e1 = e0 % 22.82/5.91 | % 22.82/5.91 | Equations (297) can reduce 231 to: % 22.82/5.91 | (298) $false % 22.82/5.91 | % 22.82/5.91 |-The branch is then unsatisfiable % 22.82/5.91 |-Branch two: % 22.82/5.91 | (555) ~ (unit = e3) % 22.82/5.91 | (556) unit = e4 | unit = e2 % 22.82/5.91 | % 22.82/5.91 +-Applying beta-rule and splitting (556), into two cases. % 22.82/5.91 |-Branch one: % 22.82/5.91 | (557) unit = e4 % 22.82/5.91 | % 22.82/5.91 | From (557) and (24) follows: % 22.82/5.91 | (558) op(e4, e2) = e2 % 22.82/5.91 | % 22.82/5.91 | From (557) and (243) follows: % 22.82/5.91 | (560) op(e4, e4) = e4 % 22.82/5.91 | % 22.82/5.91 | From (557) and (67) follows: % 22.82/5.91 | (812) op(e0, e4) = e0 % 22.82/5.91 | % 22.82/5.91 | Instantiating formula (206) with e4, e4, e4, e2 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e2, yields: % 22.82/5.91 | (409) e4 = e2 % 22.82/5.91 | % 22.82/5.91 | Instantiating formula (206) with e4, e2, e2, e1 and discharging atoms op(e4, e2) = e2, op(e4, e2) = e1, yields: % 22.82/5.91 | (544) e2 = e1 % 22.82/5.91 | % 22.82/5.91 | Instantiating formula (206) with e0, e4, e0, e4 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e0, yields: % 22.82/5.91 | (481) e4 = e0 % 22.82/5.91 | % 22.82/5.91 | Combining equations (409,481) yields a new equation: % 22.82/5.91 | (568) e2 = e0 % 22.82/5.91 | % 22.82/5.91 | Simplifying 568 yields: % 22.82/5.91 | (569) e2 = e0 % 22.82/5.91 | % 22.82/5.91 | Combining equations (544,569) yields a new equation: % 22.82/5.91 | (296) e1 = e0 % 22.82/5.91 | % 22.82/5.91 | Simplifying 296 yields: % 22.82/5.91 | (297) e1 = e0 % 22.82/5.91 | % 22.82/5.91 | Equations (297) can reduce 231 to: % 22.82/5.91 | (298) $false % 22.82/5.91 | % 22.82/5.91 |-The branch is then unsatisfiable % 22.82/5.91 |-Branch two: % 22.82/5.91 | (573) ~ (unit = e4) % 22.82/5.91 | (574) unit = e2 % 22.82/5.91 | % 22.82/5.91 | From (574) and (143) follows: % 22.82/5.91 | (575) op(e2, e3) = e3 % 22.82/5.91 | % 22.82/5.91 | From (574) and (66) follows: % 22.82/5.91 | (577) op(e2, e2) = e2 % 22.82/5.91 | % 22.82/5.91 | From (574) and (67) follows: % 22.82/5.91 | (578) op(e0, e2) = e0 % 22.82/5.91 | % 22.82/5.91 | Instantiating formula (206) with e2, e3, e3, e1 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e1, yields: % 22.82/5.91 | (420) e3 = e1 % 22.82/5.91 | % 22.82/5.91 | Instantiating formula (206) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 22.82/5.91 | (567) e3 = e2 % 22.82/5.91 | % 22.82/5.91 | Instantiating formula (206) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 22.82/5.91 | (569) e2 = e0 % 22.82/5.91 | % 22.82/5.91 | Combining equations (567,420) yields a new equation: % 22.82/5.91 | (887) e2 = e1 % 22.82/5.91 | % 22.82/5.91 | Simplifying 887 yields: % 22.82/5.91 | (544) e2 = e1 % 22.82/5.91 | % 22.82/5.91 | Combining equations (544,569) yields a new equation: % 22.82/5.91 | (296) e1 = e0 % 22.82/5.91 | % 22.82/5.91 | Simplifying 296 yields: % 22.82/5.91 | (297) e1 = e0 % 22.82/5.91 | % 22.82/5.91 | Equations (297) can reduce 231 to: % 22.82/5.91 | (298) $false % 22.82/5.91 | % 22.82/5.91 |-The branch is then unsatisfiable % 22.82/5.91 |-Branch two: % 22.82/5.91 | (301) ~ (all_0_43_43 = e0) % 22.82/5.91 | (2731) all_0_48_48 = e0 | all_0_52_52 = e0 | all_0_60_60 = e0 % 22.82/5.91 | % 22.82/5.91 +-Applying beta-rule and splitting (746), into two cases. % 22.82/5.91 |-Branch one: % 22.82/5.91 | (466) all_0_42_42 = e0 % 22.82/5.91 | % 22.82/5.91 | Combining equations (469,466) yields a new equation: % 22.82/5.91 | (654) e3 = e0 % 22.82/5.91 | % 22.82/5.91 | Simplifying 654 yields: % 22.82/5.91 | (534) e3 = e0 % 22.82/5.91 | % 22.82/5.91 | Equations (534) can reduce 84 to: % 22.82/5.91 | (298) $false % 22.82/5.91 | % 22.82/5.91 |-The branch is then unsatisfiable % 22.82/5.91 |-Branch two: % 22.82/5.91 | (463) ~ (all_0_42_42 = e0) % 22.82/5.91 | (1253) all_0_43_43 = e0 % 22.82/5.91 | % 22.82/5.91 | Equations (1253) can reduce 301 to: % 22.82/5.91 | (298) $false % 22.82/5.91 | % 22.82/5.91 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (652) ~ (all_0_49_49 = e0) % 22.82/5.92 | (682) all_0_50_50 = e0 | all_0_51_51 = e0 | all_0_52_52 = e0 % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (460), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (637) all_0_49_49 = e0 % 22.82/5.92 | % 22.82/5.92 | Equations (637) can reduce 652 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (652) ~ (all_0_49_49 = e0) % 22.82/5.92 | (506) all_0_49_49 = e4 % 22.82/5.92 | % 22.82/5.92 | Equations (506) can reduce 497 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (394) ~ (all_0_56_56 = e4) % 22.82/5.92 | (395) all_0_57_57 = e4 | all_0_58_58 = e4 | all_0_60_60 = e4 % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (63), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (495) all_0_44_44 = e4 % 22.82/5.92 | % 22.82/5.92 | Combining equations (495,892) yields a new equation: % 22.82/5.92 | (391) e4 = e3 % 22.82/5.92 | % 22.82/5.92 | Simplifying 391 yields: % 22.82/5.92 | (392) e4 = e3 % 22.82/5.92 | % 22.82/5.92 | Equations (392) can reduce 184 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (610) ~ (all_0_44_44 = e4) % 22.82/5.92 | (615) all_0_49_49 = e4 | all_0_56_56 = e4 % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (615), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (506) all_0_49_49 = e4 % 22.82/5.92 | % 22.82/5.92 | Equations (506) can reduce 106 to: % 22.82/5.92 | (2005) ~ (all_0_56_56 = e4) % 22.82/5.92 | % 22.82/5.92 | Simplifying 2005 yields: % 22.82/5.92 | (394) ~ (all_0_56_56 = e4) % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (70), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (314) all_0_56_56 = e1 % 22.82/5.92 | % 22.82/5.92 | Equations (314) can reduce 279 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (279) ~ (all_0_56_56 = e1) % 22.82/5.92 | (1499) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0 % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (1499), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (653) all_0_56_56 = e0 % 22.82/5.92 | % 22.82/5.92 | Equations (653) can reduce 306 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (306) ~ (all_0_56_56 = e0) % 22.82/5.92 | (1503) all_0_56_56 = e4 | all_0_56_56 = e3 % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (1503), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (376) all_0_56_56 = e3 % 22.82/5.92 | % 22.82/5.92 | Equations (376) can reduce 890 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (890) ~ (all_0_56_56 = e3) % 22.82/5.92 | (390) all_0_56_56 = e4 % 22.82/5.92 | % 22.82/5.92 | Equations (390) can reduce 394 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (497) ~ (all_0_49_49 = e4) % 22.82/5.92 | (390) all_0_56_56 = e4 % 22.82/5.92 | % 22.82/5.92 | Equations (390) can reduce 394 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (309) ~ (all_0_59_59 = e0) % 22.82/5.92 | (2774) all_0_59_59 = e3 | all_0_59_59 = e2 % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (2624), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (1730) all_0_51_51 = e0 % 22.82/5.92 | % 22.82/5.92 | Combining equations (396,1730) yields a new equation: % 22.82/5.92 | (568) e2 = e0 % 22.82/5.92 | % 22.82/5.92 | Simplifying 568 yields: % 22.82/5.92 | (569) e2 = e0 % 22.82/5.92 | % 22.82/5.92 | Equations (569) can reduce 139 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (1871) ~ (all_0_51_51 = e0) % 22.82/5.92 | (2627) all_0_59_59 = e0 % 22.82/5.92 | % 22.82/5.92 | Equations (2627) can reduce 309 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (483) ~ (all_0_40_40 = e4) % 22.82/5.92 | (484) all_0_45_45 = e4 | all_0_50_50 = e4 | all_0_57_57 = e4 % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (2624), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (1730) all_0_51_51 = e0 % 22.82/5.92 | % 22.82/5.92 | Combining equations (396,1730) yields a new equation: % 22.82/5.92 | (568) e2 = e0 % 22.82/5.92 | % 22.82/5.92 | Simplifying 568 yields: % 22.82/5.92 | (569) e2 = e0 % 22.82/5.92 | % 22.82/5.92 | Equations (569) can reduce 139 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (1871) ~ (all_0_51_51 = e0) % 22.82/5.92 | (2627) all_0_59_59 = e0 % 22.82/5.92 | % 22.82/5.92 | Equations (2627) can reduce 123 to: % 22.82/5.92 | (485) ~ (e4 = e0) % 22.82/5.92 | % 22.82/5.92 | Simplifying 485 yields: % 22.82/5.92 | (47) ~ (e4 = e0) % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (484), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (1221) all_0_45_45 = e4 % 22.82/5.92 | % 22.82/5.92 | Combining equations (1221,295) yields a new equation: % 22.82/5.92 | (480) e4 = e0 % 22.82/5.92 | % 22.82/5.92 | Simplifying 480 yields: % 22.82/5.92 | (481) e4 = e0 % 22.82/5.92 | % 22.82/5.92 | Equations (481) can reduce 47 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (1224) ~ (all_0_45_45 = e4) % 22.82/5.92 | (1225) all_0_50_50 = e4 | all_0_57_57 = e4 % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (1225), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (523) all_0_50_50 = e4 % 22.82/5.92 | % 22.82/5.92 | Combining equations (771,523) yields a new equation: % 22.82/5.92 | (535) e4 = e1 % 22.82/5.92 | % 22.82/5.92 | Equations (535) can reduce 115 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (596) ~ (all_0_50_50 = e4) % 22.82/5.92 | (407) all_0_57_57 = e4 % 22.82/5.92 | % 22.82/5.92 | Combining equations (902,407) yields a new equation: % 22.82/5.92 | (392) e4 = e3 % 22.82/5.92 | % 22.82/5.92 | Equations (392) can reduce 184 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (905) ~ (all_0_57_57 = e3) % 22.82/5.92 | (906) all_0_59_59 = e3 | all_0_60_60 = e3 % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (906), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (907) all_0_59_59 = e3 % 22.82/5.92 | % 22.82/5.92 | Equations (907) can reduce 910 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (910) ~ (all_0_59_59 = e3) % 22.82/5.92 | (911) all_0_60_60 = e3 % 22.82/5.92 | % 22.82/5.92 | Combining equations (2157,911) yields a new equation: % 22.82/5.92 | (420) e3 = e1 % 22.82/5.92 | % 22.82/5.92 | Equations (420) can reduce 214 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (847) ~ (all_0_42_42 = e3) % 22.82/5.92 | (1512) all_0_47_47 = e3 | all_0_59_59 = e3 % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (456), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (466) all_0_42_42 = e0 % 22.82/5.92 | % 22.82/5.92 | Equations (466) can reduce 20 to: % 22.82/5.92 | (464) ~ (all_0_43_43 = e0) % 22.82/5.92 | % 22.82/5.92 | Simplifying 464 yields: % 22.82/5.92 | (301) ~ (all_0_43_43 = e0) % 22.82/5.92 | % 22.82/5.92 | Equations (466) can reduce 847 to: % 22.82/5.92 | (620) ~ (e3 = e0) % 22.82/5.92 | % 22.82/5.92 | Simplifying 620 yields: % 22.82/5.92 | (84) ~ (e3 = e0) % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (23), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (755) all_0_40_40 = e3 % 22.82/5.92 | % 22.82/5.92 | Equations (755) can reduce 238 to: % 22.82/5.92 | (470) ~ (all_0_43_43 = e3) % 22.82/5.92 | % 22.82/5.92 | Simplifying 470 yields: % 22.82/5.92 | (471) ~ (all_0_43_43 = e3) % 22.82/5.92 | % 22.82/5.92 | Equations (755) can reduce 64 to: % 22.82/5.92 | (2823) ~ (all_0_57_57 = e3) % 22.82/5.92 | % 22.82/5.92 | Simplifying 2823 yields: % 22.82/5.92 | (905) ~ (all_0_57_57 = e3) % 22.82/5.92 | % 22.82/5.92 | Equations (755) can reduce 254 to: % 22.82/5.92 | (214) ~ (e3 = e1) % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (12), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (1253) all_0_43_43 = e0 % 22.82/5.92 | % 22.82/5.92 | Equations (1253) can reduce 301 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (301) ~ (all_0_43_43 = e0) % 22.82/5.92 | (2731) all_0_48_48 = e0 | all_0_52_52 = e0 | all_0_60_60 = e0 % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (216), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (479) all_0_40_40 = e4 % 22.82/5.92 | % 22.82/5.92 | Combining equations (479,755) yields a new equation: % 22.82/5.92 | (391) e4 = e3 % 22.82/5.92 | % 22.82/5.92 | Simplifying 391 yields: % 22.82/5.92 | (392) e4 = e3 % 22.82/5.92 | % 22.82/5.92 | Equations (392) can reduce 184 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (483) ~ (all_0_40_40 = e4) % 22.82/5.92 | (515) all_0_41_41 = e4 | all_0_43_43 = e4 % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (96), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (376) all_0_56_56 = e3 % 22.82/5.92 | % 22.82/5.92 | Equations (376) can reduce 890 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (890) ~ (all_0_56_56 = e3) % 22.82/5.92 | (891) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (891), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (902) all_0_57_57 = e3 % 22.82/5.92 | % 22.82/5.92 | Equations (902) can reduce 905 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (905) ~ (all_0_57_57 = e3) % 22.82/5.92 | (906) all_0_59_59 = e3 | all_0_60_60 = e3 % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (906), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (907) all_0_59_59 = e3 % 22.82/5.92 | % 22.82/5.92 | Equations (907) can reduce 198 to: % 22.82/5.92 | (905) ~ (all_0_57_57 = e3) % 22.82/5.92 | % 22.82/5.92 | From (907) and (114) follows: % 22.82/5.92 | (2846) op(e0, e1) = e3 % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (515), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (603) all_0_41_41 = e4 % 22.82/5.92 | % 22.82/5.92 | Combining equations (603,253) yields a new equation: % 22.82/5.92 | (598) e4 = e1 % 22.82/5.92 | % 22.82/5.92 | Simplifying 598 yields: % 22.82/5.92 | (535) e4 = e1 % 22.82/5.92 | % 22.82/5.92 | Equations (535) can reduce 115 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (607) ~ (all_0_41_41 = e4) % 22.82/5.92 | (520) all_0_43_43 = e4 % 22.82/5.92 | % 22.82/5.92 | Equations (520) can reduce 471 to: % 22.82/5.92 | (184) ~ (e4 = e3) % 22.82/5.92 | % 22.82/5.92 | Equations (520) can reduce 301 to: % 22.82/5.92 | (47) ~ (e4 = e0) % 22.82/5.92 | % 22.82/5.92 | From (520) and (34) follows: % 22.82/5.92 | (522) op(e4, e0) = e4 % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (226), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (506) all_0_49_49 = e4 % 22.82/5.92 | % 22.82/5.92 | From (506) and (110) follows: % 22.82/5.92 | (767) op(e2, e4) = e4 % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (70), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (314) all_0_56_56 = e1 % 22.82/5.92 | % 22.82/5.92 | Equations (314) can reduce 279 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (279) ~ (all_0_56_56 = e1) % 22.82/5.92 | (1499) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0 % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (129), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (637) all_0_49_49 = e0 % 22.82/5.92 | % 22.82/5.92 | Combining equations (506,637) yields a new equation: % 22.82/5.92 | (480) e4 = e0 % 22.82/5.92 | % 22.82/5.92 | Simplifying 480 yields: % 22.82/5.92 | (481) e4 = e0 % 22.82/5.92 | % 22.82/5.92 | Equations (481) can reduce 47 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (652) ~ (all_0_49_49 = e0) % 22.82/5.92 | (682) all_0_50_50 = e0 | all_0_51_51 = e0 | all_0_52_52 = e0 % 22.82/5.92 | % 22.82/5.92 | Equations (506) can reduce 652 to: % 22.82/5.92 | (47) ~ (e4 = e0) % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (141), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (653) all_0_56_56 = e0 % 22.82/5.92 | % 22.82/5.92 | Equations (653) can reduce 152 to: % 22.82/5.92 | (2185) ~ (all_0_57_57 = e0) % 22.82/5.92 | % 22.82/5.92 | Simplifying 2185 yields: % 22.82/5.92 | (307) ~ (all_0_57_57 = e0) % 22.82/5.92 | % 22.82/5.92 | Equations (653) can reduce 26 to: % 22.82/5.92 | (782) ~ (e2 = e0) % 22.82/5.92 | % 22.82/5.92 | Simplifying 782 yields: % 22.82/5.92 | (139) ~ (e2 = e0) % 22.82/5.92 | % 22.82/5.92 | Equations (653) can reduce 279 to: % 22.82/5.92 | (526) ~ (e1 = e0) % 22.82/5.92 | % 22.82/5.92 | Simplifying 526 yields: % 22.82/5.92 | (231) ~ (e1 = e0) % 22.82/5.92 | % 22.82/5.92 | From (653) and (48) follows: % 22.82/5.92 | (812) op(e0, e4) = e0 % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (133), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (326) all_0_52_52 = e1 % 22.82/5.92 | % 22.82/5.92 | Equations (326) can reduce 2161 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (2161) ~ (all_0_52_52 = e1) % 22.82/5.92 | (2880) all_0_52_52 = e4 | all_0_52_52 = e2 | all_0_52_52 = e0 % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (2731), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (717) all_0_48_48 = e0 % 22.82/5.92 | % 22.82/5.92 | Combining equations (743,717) yields a new equation: % 22.82/5.92 | (568) e2 = e0 % 22.82/5.92 | % 22.82/5.92 | Simplifying 568 yields: % 22.82/5.92 | (569) e2 = e0 % 22.82/5.92 | % 22.82/5.92 | Equations (569) can reduce 139 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (303) ~ (all_0_48_48 = e0) % 22.82/5.92 | (2886) all_0_52_52 = e0 | all_0_60_60 = e0 % 22.82/5.92 | % 22.82/5.92 | Equations (743) can reduce 303 to: % 22.82/5.92 | (139) ~ (e2 = e0) % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (239), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (322) all_0_57_57 = e1 % 22.82/5.92 | % 22.82/5.92 | Equations (322) can reduce 294 to: % 22.82/5.92 | (298) $false % 22.82/5.92 | % 22.82/5.92 |-The branch is then unsatisfiable % 22.82/5.92 |-Branch two: % 22.82/5.92 | (294) ~ (all_0_57_57 = e1) % 22.82/5.92 | (2344) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e2 | all_0_57_57 = e0 % 22.82/5.92 | % 22.82/5.92 +-Applying beta-rule and splitting (682), into two cases. % 22.82/5.92 |-Branch one: % 22.82/5.92 | (781) all_0_50_50 = e0 % 22.82/5.92 | % 22.82/5.92 | Combining equations (771,781) yields a new equation: % 22.82/5.92 | (296) e1 = e0 % 22.82/5.92 | % 22.82/5.92 | Simplifying 296 yields: % 22.82/5.92 | (297) e1 = e0 % 22.82/5.93 | % 22.82/5.93 | Equations (297) can reduce 231 to: % 22.82/5.93 | (298) $false % 22.82/5.93 | % 22.82/5.93 |-The branch is then unsatisfiable % 22.82/5.93 |-Branch two: % 22.82/5.93 | (661) ~ (all_0_50_50 = e0) % 22.82/5.93 | (2072) all_0_51_51 = e0 | all_0_52_52 = e0 % 22.82/5.93 | % 22.82/5.93 +-Applying beta-rule and splitting (2344), into two cases. % 22.82/5.93 |-Branch one: % 22.82/5.93 | (1242) all_0_57_57 = e0 % 22.82/5.93 | % 22.82/5.93 | Equations (1242) can reduce 307 to: % 22.82/5.93 | (298) $false % 22.82/5.93 | % 22.82/5.93 |-The branch is then unsatisfiable % 22.82/5.93 |-Branch two: % 22.82/5.93 | (307) ~ (all_0_57_57 = e0) % 22.82/5.93 | (2348) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e2 % 22.82/5.93 | % 22.82/5.93 +-Applying beta-rule and splitting (2880), into two cases. % 22.82/5.93 |-Branch one: % 22.82/5.93 | (2078) all_0_52_52 = e0 % 22.82/5.93 | % 22.82/5.93 | Equations (2078) can reduce 2161 to: % 22.82/5.93 | (526) ~ (e1 = e0) % 22.82/5.93 | % 22.82/5.93 | Simplifying 526 yields: % 22.82/5.93 | (231) ~ (e1 = e0) % 22.82/5.93 | % 22.82/5.93 +-Applying beta-rule and splitting (2348), into two cases. % 22.82/5.93 |-Branch one: % 22.82/5.93 | (902) all_0_57_57 = e3 % 22.82/5.93 | % 22.82/5.93 | Equations (902) can reduce 905 to: % 22.82/5.93 | (298) $false % 22.82/5.93 | % 22.82/5.93 |-The branch is then unsatisfiable % 22.82/5.93 |-Branch two: % 22.82/5.93 | (905) ~ (all_0_57_57 = e3) % 22.82/5.93 | (2500) all_0_57_57 = e4 | all_0_57_57 = e2 % 22.82/5.93 | % 22.82/5.93 +-Applying beta-rule and splitting (2500), into two cases. % 22.82/5.93 |-Branch one: % 22.82/5.93 | (407) all_0_57_57 = e4 % 22.82/5.93 | % 22.82/5.93 | From (407) and (150) follows: % 22.82/5.93 | (1160) op(e0, e3) = e4 % 22.82/5.93 | % 22.82/5.93 +-Applying beta-rule and splitting (55), into two cases. % 22.82/5.93 |-Branch one: % 22.82/5.93 | (529) unit = e1 % 22.82/5.93 | % 22.82/5.93 | From (529) and (74) follows: % 22.82/5.93 | (531) op(e3, e1) = e3 % 22.82/5.93 | % 22.82/5.93 | From (529) and (67) follows: % 22.82/5.93 | (2913) op(e0, e1) = e0 % 22.82/5.93 | % 22.82/5.93 | Instantiating formula (206) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields: % 22.82/5.93 | (420) e3 = e1 % 22.82/5.93 | % 22.82/5.93 | Instantiating formula (206) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields: % 22.82/5.93 | (534) e3 = e0 % 22.82/5.93 | % 22.82/5.93 | Combining equations (420,534) yields a new equation: % 22.82/5.93 | (296) e1 = e0 % 22.82/5.93 | % 22.82/5.93 | Simplifying 296 yields: % 22.82/5.93 | (297) e1 = e0 % 22.82/5.93 | % 22.82/5.93 | Equations (297) can reduce 231 to: % 22.82/5.93 | (298) $false % 22.82/5.93 | % 22.82/5.93 |-The branch is then unsatisfiable % 22.82/5.93 |-Branch two: % 22.82/5.93 | (540) ~ (unit = e1) % 22.82/5.93 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 22.82/5.93 | % 22.82/5.93 +-Applying beta-rule and splitting (541), into two cases. % 22.82/5.93 |-Branch one: % 22.82/5.93 | (542) unit = e0 % 22.82/5.93 | % 22.82/5.93 | Equations (542) can reduce 540 to: % 22.82/5.93 | (526) ~ (e1 = e0) % 22.82/5.93 | % 22.82/5.93 | Simplifying 526 yields: % 22.82/5.93 | (231) ~ (e1 = e0) % 22.82/5.93 | % 22.82/5.93 | From (542) and (162) follows: % 22.82/5.93 | (1387) op(e0, e4) = e4 % 22.82/5.93 | % 22.82/5.93 | From (542) and (143) follows: % 22.82/5.93 | (1389) op(e0, e3) = e3 % 22.82/5.93 | % 22.82/5.93 | From (542) and (100) follows: % 22.82/5.93 | (2926) op(e0, e1) = e1 % 22.82/5.93 | % 22.82/5.93 | From (542) and (74) follows: % 22.82/5.93 | (494) op(e3, e0) = e3 % 22.82/5.93 | % 22.82/5.93 | Instantiating formula (206) with e3, e0, e3, e2 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e2, yields: % 22.82/5.93 | (567) e3 = e2 % 22.82/5.93 | % 22.82/5.93 | Instantiating formula (206) with e0, e4, e4, e0 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e0, yields: % 22.82/5.93 | (481) e4 = e0 % 22.82/5.93 | % 22.82/5.93 | Instantiating formula (206) with e0, e3, e3, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e3, yields: % 22.82/5.93 | (392) e4 = e3 % 22.82/5.93 | % 22.82/5.93 | Instantiating formula (206) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields: % 22.82/5.93 | (420) e3 = e1 % 22.82/5.93 | % 22.82/5.93 | Combining equations (392,481) yields a new equation: % 22.82/5.93 | (654) e3 = e0 % 22.82/5.93 | % 22.82/5.93 | Simplifying 654 yields: % 22.82/5.93 | (534) e3 = e0 % 22.82/5.93 | % 22.82/5.93 | Combining equations (534,567) yields a new equation: % 22.82/5.93 | (569) e2 = e0 % 22.82/5.93 | % 22.82/5.93 | Combining equations (420,567) yields a new equation: % 22.82/5.93 | (544) e2 = e1 % 22.82/5.93 | % 22.82/5.93 | Combining equations (544,569) yields a new equation: % 22.82/5.93 | (296) e1 = e0 % 22.82/5.93 | % 22.82/5.93 | Simplifying 296 yields: % 22.82/5.93 | (297) e1 = e0 % 22.82/5.93 | % 22.82/5.93 | Equations (297) can reduce 231 to: % 22.82/5.93 | (298) $false % 22.82/5.93 | % 22.82/5.93 |-The branch is then unsatisfiable % 22.82/5.93 |-Branch two: % 22.82/5.93 | (546) ~ (unit = e0) % 22.82/5.93 | (547) unit = e4 | unit = e3 | unit = e2 % 22.82/5.93 | % 22.82/5.93 +-Applying beta-rule and splitting (547), into two cases. % 22.82/5.93 |-Branch one: % 22.82/5.93 | (548) unit = e3 % 22.82/5.93 | % 22.82/5.93 | From (548) and (24) follows: % 22.82/5.93 | (1180) op(e3, e2) = e2 % 22.82/5.93 | % 22.82/5.93 | From (548) and (221) follows: % 22.82/5.93 | (550) op(e1, e3) = e1 % 22.82/5.93 | % 22.82/5.93 | From (548) and (67) follows: % 22.82/5.93 | (803) op(e0, e3) = e0 % 22.82/5.93 | % 22.82/5.93 | Instantiating formula (206) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields: % 22.82/5.93 | (409) e4 = e2 % 22.82/5.93 | % 22.82/5.93 | Instantiating formula (206) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 22.82/5.93 | (544) e2 = e1 % 22.82/5.93 | % 22.82/5.93 | Instantiating formula (206) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 22.82/5.93 | (481) e4 = e0 % 22.82/5.93 | % 22.82/5.93 | Combining equations (409,481) yields a new equation: % 22.82/5.93 | (568) e2 = e0 % 22.82/5.93 | % 22.82/5.93 | Simplifying 568 yields: % 22.82/5.93 | (569) e2 = e0 % 22.82/5.93 | % 22.82/5.93 | Combining equations (569,544) yields a new equation: % 22.82/5.93 | (297) e1 = e0 % 22.82/5.93 | % 22.82/5.93 | Equations (297) can reduce 231 to: % 22.82/5.93 | (298) $false % 22.82/5.93 | % 22.82/5.93 |-The branch is then unsatisfiable % 22.82/5.93 |-Branch two: % 22.82/5.93 | (555) ~ (unit = e3) % 22.82/5.93 | (556) unit = e4 | unit = e2 % 22.82/5.93 | % 22.82/5.93 +-Applying beta-rule and splitting (556), into two cases. % 22.82/5.93 |-Branch one: % 22.82/5.93 | (557) unit = e4 % 22.82/5.93 | % 22.82/5.93 | From (557) and (24) follows: % 22.82/5.93 | (558) op(e4, e2) = e2 % 22.82/5.93 | % 22.82/5.93 | From (557) and (60) follows: % 22.82/5.93 | (559) op(e4, e0) = e0 % 22.82/5.93 | % 22.82/5.93 | From (557) and (66) follows: % 22.82/5.93 | (811) op(e2, e4) = e2 % 22.82/5.93 | % 22.82/5.93 | Instantiating formula (206) with e4, e2, e2, e1 and discharging atoms op(e4, e2) = e2, op(e4, e2) = e1, yields: % 22.82/5.93 | (544) e2 = e1 % 22.82/5.93 | % 22.82/5.93 | Instantiating formula (206) with e4, e0, e0, e4 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 22.82/5.93 | (481) e4 = e0 % 22.82/5.93 | % 22.82/5.93 | Instantiating formula (206) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 22.82/5.93 | (409) e4 = e2 % 22.82/5.93 | % 22.82/5.93 | Combining equations (409,481) yields a new equation: % 22.82/5.93 | (568) e2 = e0 % 22.82/5.93 | % 22.82/5.93 | Simplifying 568 yields: % 22.82/5.93 | (569) e2 = e0 % 22.82/5.93 | % 22.82/5.93 | Combining equations (569,544) yields a new equation: % 22.82/5.93 | (297) e1 = e0 % 22.82/5.93 | % 22.82/5.93 | Equations (297) can reduce 231 to: % 22.82/5.93 | (298) $false % 22.82/5.93 | % 22.82/5.93 |-The branch is then unsatisfiable % 22.82/5.93 |-Branch two: % 22.82/5.93 | (573) ~ (unit = e4) % 22.82/5.93 | (574) unit = e2 % 22.82/5.93 | % 22.82/5.93 | From (574) and (243) follows: % 22.82/5.93 | (576) op(e4, e2) = e4 % 22.82/5.93 | % 22.82/5.93 | From (574) and (74) follows: % 22.82/5.93 | (1207) op(e3, e2) = e3 % 22.82/5.93 | % 22.82/5.93 | From (574) and (66) follows: % 22.82/5.93 | (577) op(e2, e2) = e2 % 22.82/5.93 | % 22.82/5.93 | From (574) and (67) follows: % 22.82/5.93 | (578) op(e0, e2) = e0 % 22.82/5.93 | % 22.82/5.93 | Instantiating formula (206) with e4, e2, e4, e1 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e1, yields: % 22.82/5.93 | (535) e4 = e1 % 22.82/5.93 | % 22.82/5.93 | Instantiating formula (206) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 22.82/5.93 | (392) e4 = e3 % 22.82/5.93 | % 22.82/5.93 | Instantiating formula (206) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 22.82/5.93 | (567) e3 = e2 % 22.82/5.93 | % 22.82/5.93 | Instantiating formula (206) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 22.82/5.93 | (569) e2 = e0 % 22.82/5.93 | % 22.82/5.93 | Combining equations (535,392) yields a new equation: % 22.82/5.93 | (420) e3 = e1 % 22.82/5.93 | % 22.82/5.93 | Combining equations (420,567) yields a new equation: % 22.82/5.93 | (544) e2 = e1 % 22.82/5.93 | % 22.82/5.93 | Combining equations (544,569) yields a new equation: % 22.82/5.93 | (296) e1 = e0 % 22.82/5.93 | % 22.82/5.93 | Simplifying 296 yields: % 22.82/5.93 | (297) e1 = e0 % 22.82/5.93 | % 22.82/5.93 | Equations (297) can reduce 231 to: % 22.82/5.93 | (298) $false % 22.82/5.93 | % 22.82/5.93 |-The branch is then unsatisfiable % 22.82/5.93 |-Branch two: % 22.82/5.93 | (411) ~ (all_0_57_57 = e4) % 22.82/5.93 | (372) all_0_57_57 = e2 % 22.82/5.93 | % 22.82/5.93 | Equations (372) can reduce 922 to: % 22.82/5.93 | (298) $false % 22.82/5.93 | % 22.82/5.93 |-The branch is then unsatisfiable % 22.82/5.93 |-Branch two: % 22.82/5.93 | (304) ~ (all_0_52_52 = e0) % 22.82/5.93 | (2984) all_0_52_52 = e4 | all_0_52_52 = e2 % 22.82/5.93 | % 22.82/5.93 +-Applying beta-rule and splitting (2072), into two cases. % 22.82/5.93 |-Branch one: % 22.82/5.93 | (1730) all_0_51_51 = e0 % 22.82/5.93 | % 22.82/5.93 | Combining equations (1730,396) yields a new equation: % 22.82/5.93 | (569) e2 = e0 % 22.82/5.93 | % 22.82/5.93 | Equations (569) can reduce 139 to: % 22.82/5.93 | (298) $false % 22.82/5.93 | % 22.82/5.93 |-The branch is then unsatisfiable % 22.82/5.93 |-Branch two: % 22.82/5.93 | (1871) ~ (all_0_51_51 = e0) % 22.82/5.93 | (2078) all_0_52_52 = e0 % 22.82/5.93 | % 22.82/5.93 | Equations (2078) can reduce 304 to: % 22.82/5.93 | (298) $false % 22.82/5.93 | % 22.82/5.93 |-The branch is then unsatisfiable % 22.82/5.93 |-Branch two: % 22.82/5.93 | (306) ~ (all_0_56_56 = e0) % 22.82/5.93 | (2992) all_0_57_57 = e0 | all_0_59_59 = e0 | all_0_60_60 = e0 % 22.82/5.93 | % 22.82/5.93 +-Applying beta-rule and splitting (1499), into two cases. % 22.82/5.93 |-Branch one: % 22.82/5.93 | (653) all_0_56_56 = e0 % 22.82/5.93 | % 22.82/5.93 | Equations (653) can reduce 306 to: % 22.82/5.93 | (298) $false % 22.82/5.93 | % 22.82/5.93 |-The branch is then unsatisfiable % 22.82/5.93 |-Branch two: % 22.82/5.93 | (306) ~ (all_0_56_56 = e0) % 22.82/5.93 | (1503) all_0_56_56 = e4 | all_0_56_56 = e3 % 22.82/5.93 | % 22.82/5.93 +-Applying beta-rule and splitting (504), into two cases. % 22.82/5.93 |-Branch one: % 22.82/5.93 | (637) all_0_49_49 = e0 % 22.82/5.93 | % 22.82/5.93 | Combining equations (506,637) yields a new equation: % 22.82/5.93 | (480) e4 = e0 % 22.82/5.93 | % 22.82/5.93 | Simplifying 480 yields: % 22.82/5.93 | (481) e4 = e0 % 22.82/5.93 | % 22.82/5.93 | Equations (481) can reduce 47 to: % 22.82/5.93 | (298) $false % 22.82/5.93 | % 22.82/5.93 |-The branch is then unsatisfiable % 22.82/5.93 |-Branch two: % 22.82/5.93 | (652) ~ (all_0_49_49 = e0) % 22.82/5.93 | (653) all_0_56_56 = e0 % 22.82/5.93 | % 22.82/5.93 | Equations (653) can reduce 306 to: % 22.82/5.93 | (298) $false % 22.82/5.93 | % 22.82/5.93 |-The branch is then unsatisfiable % 22.82/5.93 |-Branch two: % 22.82/5.93 | (497) ~ (all_0_49_49 = e4) % 22.82/5.93 | (509) all_0_50_50 = e4 | all_0_52_52 = e4 % 22.82/5.93 | % 22.82/5.93 +-Applying beta-rule and splitting (63), into two cases. % 22.82/5.93 |-Branch one: % 22.82/5.93 | (495) all_0_44_44 = e4 % 22.82/5.93 | % 22.82/5.93 | Combining equations (495,892) yields a new equation: % 22.82/5.93 | (391) e4 = e3 % 22.82/5.93 | % 22.82/5.93 | Simplifying 391 yields: % 22.82/5.93 | (392) e4 = e3 % 22.82/5.93 | % 22.82/5.93 | Equations (392) can reduce 184 to: % 22.82/5.93 | (298) $false % 22.82/5.93 | % 22.82/5.93 |-The branch is then unsatisfiable % 22.82/5.93 |-Branch two: % 22.82/5.93 | (610) ~ (all_0_44_44 = e4) % 22.82/5.93 | (615) all_0_49_49 = e4 | all_0_56_56 = e4 % 22.82/5.93 | % 22.82/5.93 +-Applying beta-rule and splitting (141), into two cases. % 22.82/5.93 |-Branch one: % 22.82/5.93 | (653) all_0_56_56 = e0 % 22.82/5.93 | % 22.82/5.93 | Equations (653) can reduce 106 to: % 22.82/5.93 | (652) ~ (all_0_49_49 = e0) % 22.82/5.93 | % 22.82/5.93 +-Applying beta-rule and splitting (129), into two cases. % 22.82/5.93 |-Branch one: % 22.82/5.93 | (637) all_0_49_49 = e0 % 22.82/5.93 | % 22.82/5.93 | Equations (637) can reduce 652 to: % 22.82/5.93 | (298) $false % 22.82/5.93 | % 22.82/5.93 |-The branch is then unsatisfiable % 22.82/5.93 |-Branch two: % 22.82/5.93 | (652) ~ (all_0_49_49 = e0) % 22.82/5.93 | (682) all_0_50_50 = e0 | all_0_51_51 = e0 | all_0_52_52 = e0 % 22.82/5.93 | % 22.82/5.93 +-Applying beta-rule and splitting (460), into two cases. % 22.82/5.93 |-Branch one: % 22.82/5.93 | (637) all_0_49_49 = e0 % 22.82/5.93 | % 22.82/5.93 | Equations (637) can reduce 652 to: % 22.82/5.93 | (298) $false % 22.82/5.93 | % 22.82/5.93 |-The branch is then unsatisfiable % 22.82/5.93 |-Branch two: % 22.82/5.93 | (652) ~ (all_0_49_49 = e0) % 22.82/5.93 | (506) all_0_49_49 = e4 % 22.82/5.93 | % 22.82/5.93 | Equations (506) can reduce 497 to: % 22.82/5.93 | (298) $false % 22.82/5.93 | % 22.82/5.93 |-The branch is then unsatisfiable % 22.82/5.93 |-Branch two: % 22.82/5.93 | (306) ~ (all_0_56_56 = e0) % 22.82/5.93 | (2992) all_0_57_57 = e0 | all_0_59_59 = e0 | all_0_60_60 = e0 % 22.82/5.93 | % 22.82/5.93 +-Applying beta-rule and splitting (239), into two cases. % 22.82/5.93 |-Branch one: % 22.82/5.93 | (322) all_0_57_57 = e1 % 22.82/5.93 | % 22.82/5.93 | Equations (322) can reduce 294 to: % 22.82/5.93 | (298) $false % 22.82/5.93 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (294) ~ (all_0_57_57 = e1) % 22.82/5.94 | (2344) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e2 | all_0_57_57 = e0 % 22.82/5.94 | % 22.82/5.94 +-Applying beta-rule and splitting (2344), into two cases. % 22.82/5.94 |-Branch one: % 22.82/5.94 | (1242) all_0_57_57 = e0 % 22.82/5.94 | % 22.82/5.94 | Equations (1242) can reduce 307 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (307) ~ (all_0_57_57 = e0) % 22.82/5.94 | (2348) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e2 % 22.82/5.94 | % 22.82/5.94 +-Applying beta-rule and splitting (2348), into two cases. % 22.82/5.94 |-Branch one: % 22.82/5.94 | (902) all_0_57_57 = e3 % 22.82/5.94 | % 22.82/5.94 | Equations (902) can reduce 905 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (905) ~ (all_0_57_57 = e3) % 22.82/5.94 | (2500) all_0_57_57 = e4 | all_0_57_57 = e2 % 22.82/5.94 | % 22.82/5.94 +-Applying beta-rule and splitting (2500), into two cases. % 22.82/5.94 |-Branch one: % 22.82/5.94 | (407) all_0_57_57 = e4 % 22.82/5.94 | % 22.82/5.94 | Equations (407) can reduce 152 to: % 22.82/5.94 | (394) ~ (all_0_56_56 = e4) % 22.82/5.94 | % 22.82/5.94 +-Applying beta-rule and splitting (504), into two cases. % 22.82/5.94 |-Branch one: % 22.82/5.94 | (637) all_0_49_49 = e0 % 22.82/5.94 | % 22.82/5.94 | Equations (637) can reduce 497 to: % 22.82/5.94 | (485) ~ (e4 = e0) % 22.82/5.94 | % 22.82/5.94 | Simplifying 485 yields: % 22.82/5.94 | (47) ~ (e4 = e0) % 22.82/5.94 | % 22.82/5.94 +-Applying beta-rule and splitting (615), into two cases. % 22.82/5.94 |-Branch one: % 22.82/5.94 | (506) all_0_49_49 = e4 % 22.82/5.94 | % 22.82/5.94 | Combining equations (637,506) yields a new equation: % 22.82/5.94 | (481) e4 = e0 % 22.82/5.94 | % 22.82/5.94 | Equations (481) can reduce 47 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (497) ~ (all_0_49_49 = e4) % 22.82/5.94 | (390) all_0_56_56 = e4 % 22.82/5.94 | % 22.82/5.94 | Equations (390) can reduce 394 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (652) ~ (all_0_49_49 = e0) % 22.82/5.94 | (653) all_0_56_56 = e0 % 22.82/5.94 | % 22.82/5.94 | Equations (653) can reduce 306 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (411) ~ (all_0_57_57 = e4) % 22.82/5.94 | (372) all_0_57_57 = e2 % 22.82/5.94 | % 22.82/5.94 | Equations (372) can reduce 922 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (910) ~ (all_0_59_59 = e3) % 22.82/5.94 | (911) all_0_60_60 = e3 % 22.82/5.94 | % 22.82/5.94 | Combining equations (2157,911) yields a new equation: % 22.82/5.94 | (420) e3 = e1 % 22.82/5.94 | % 22.82/5.94 | Equations (420) can reduce 214 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (425) ~ (all_0_40_40 = e3) % 22.82/5.94 | (1257) all_0_42_42 = e3 | all_0_43_43 = e3 % 22.82/5.94 | % 22.82/5.94 +-Applying beta-rule and splitting (1257), into two cases. % 22.82/5.94 |-Branch one: % 22.82/5.94 | (469) all_0_42_42 = e3 % 22.82/5.94 | % 22.82/5.94 | Combining equations (469,466) yields a new equation: % 22.82/5.94 | (654) e3 = e0 % 22.82/5.94 | % 22.82/5.94 | Simplifying 654 yields: % 22.82/5.94 | (534) e3 = e0 % 22.82/5.94 | % 22.82/5.94 | Equations (534) can reduce 84 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (847) ~ (all_0_42_42 = e3) % 22.82/5.94 | (475) all_0_43_43 = e3 % 22.82/5.94 | % 22.82/5.94 | Equations (475) can reduce 471 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (463) ~ (all_0_42_42 = e0) % 22.82/5.94 | (469) all_0_42_42 = e3 % 22.82/5.94 | % 22.82/5.94 | Equations (469) can reduce 847 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (363) ~ (all_0_48_48 = e2) % 22.82/5.94 | (927) all_0_52_52 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 22.82/5.94 | % 22.82/5.94 +-Applying beta-rule and splitting (927), into two cases. % 22.82/5.94 |-Branch one: % 22.82/5.94 | (938) all_0_52_52 = e2 % 22.82/5.94 | % 22.82/5.94 | Equations (938) can reduce 941 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (941) ~ (all_0_52_52 = e2) % 22.82/5.94 | (942) all_0_55_55 = e2 | all_0_60_60 = e2 % 22.82/5.94 | % 22.82/5.94 +-Applying beta-rule and splitting (942), into two cases. % 22.82/5.94 |-Branch one: % 22.82/5.94 | (385) all_0_55_55 = e2 % 22.82/5.94 | % 22.82/5.94 | Combining equations (385,876) yields a new equation: % 22.82/5.94 | (567) e3 = e2 % 22.82/5.94 | % 22.82/5.94 | Equations (567) can reduce 213 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (968) ~ (all_0_55_55 = e2) % 22.82/5.94 | (964) all_0_60_60 = e2 % 22.82/5.94 | % 22.82/5.94 | Combining equations (2157,964) yields a new equation: % 22.82/5.94 | (544) e2 = e1 % 22.82/5.94 | % 22.82/5.94 | Equations (544) can reduce 134 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (936) ~ (all_0_46_46 = e4) % 22.82/5.94 | (358) all_0_46_46 = e2 % 22.82/5.94 | % 22.82/5.94 | Equations (358) can reduce 973 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (885) ~ (all_0_51_51 = e2) % 22.82/5.94 | (886) all_0_59_59 = e2 % 22.82/5.94 | % 22.82/5.94 | Equations (886) can reduce 963 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (914) ~ (all_0_44_44 = e3) % 22.82/5.94 | (1082) all_0_45_45 = e3 | all_0_47_47 = e3 | all_0_48_48 = e3 % 22.82/5.94 | % 22.82/5.94 +-Applying beta-rule and splitting (170), into two cases. % 22.82/5.94 |-Branch one: % 22.82/5.94 | (1299) all_0_44_44 = e1 % 22.82/5.94 | % 22.82/5.94 | Equations (1299) can reduce 273 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (273) ~ (all_0_44_44 = e1) % 22.82/5.94 | (1302) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e0 % 22.82/5.94 | % 22.82/5.94 +-Applying beta-rule and splitting (140), into two cases. % 22.82/5.94 |-Branch one: % 22.82/5.94 | (892) all_0_44_44 = e3 % 22.82/5.94 | % 22.82/5.94 | Equations (892) can reduce 914 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (914) ~ (all_0_44_44 = e3) % 22.82/5.94 | (915) all_0_53_53 = e3 | all_0_56_56 = e3 % 22.82/5.94 | % 22.82/5.94 +-Applying beta-rule and splitting (1302), into two cases. % 22.82/5.94 |-Branch one: % 22.82/5.94 | (500) all_0_44_44 = e0 % 22.82/5.94 | % 22.82/5.94 | Equations (500) can reduce 503 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (503) ~ (all_0_44_44 = e0) % 22.82/5.94 | (1306) all_0_44_44 = e4 | all_0_44_44 = e3 % 22.82/5.94 | % 22.82/5.94 +-Applying beta-rule and splitting (915), into two cases. % 22.82/5.94 |-Branch one: % 22.82/5.94 | (419) all_0_53_53 = e3 % 22.82/5.94 | % 22.82/5.94 | Combining equations (272,419) yields a new equation: % 22.82/5.94 | (420) e3 = e1 % 22.82/5.94 | % 22.82/5.94 | Equations (420) can reduce 214 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (422) ~ (all_0_53_53 = e3) % 22.82/5.94 | (376) all_0_56_56 = e3 % 22.82/5.94 | % 22.82/5.94 | Equations (376) can reduce 195 to: % 22.82/5.94 | (914) ~ (all_0_44_44 = e3) % 22.82/5.94 | % 22.82/5.94 | Equations (376) can reduce 152 to: % 22.82/5.94 | (2823) ~ (all_0_57_57 = e3) % 22.82/5.94 | % 22.82/5.94 | Simplifying 2823 yields: % 22.82/5.94 | (905) ~ (all_0_57_57 = e3) % 22.82/5.94 | % 22.82/5.94 +-Applying beta-rule and splitting (239), into two cases. % 22.82/5.94 |-Branch one: % 22.82/5.94 | (322) all_0_57_57 = e1 % 22.82/5.94 | % 22.82/5.94 | Equations (322) can reduce 294 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (294) ~ (all_0_57_57 = e1) % 22.82/5.94 | (2344) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e2 | all_0_57_57 = e0 % 22.82/5.94 | % 22.82/5.94 +-Applying beta-rule and splitting (2344), into two cases. % 22.82/5.94 |-Branch one: % 22.82/5.94 | (1242) all_0_57_57 = e0 % 22.82/5.94 | % 22.82/5.94 | Equations (1242) can reduce 307 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (307) ~ (all_0_57_57 = e0) % 22.82/5.94 | (2348) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e2 % 22.82/5.94 | % 22.82/5.94 +-Applying beta-rule and splitting (2348), into two cases. % 22.82/5.94 |-Branch one: % 22.82/5.94 | (902) all_0_57_57 = e3 % 22.82/5.94 | % 22.82/5.94 | Equations (902) can reduce 905 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (905) ~ (all_0_57_57 = e3) % 22.82/5.94 | (2500) all_0_57_57 = e4 | all_0_57_57 = e2 % 22.82/5.94 | % 22.82/5.94 +-Applying beta-rule and splitting (2500), into two cases. % 22.82/5.94 |-Branch one: % 22.82/5.94 | (407) all_0_57_57 = e4 % 22.82/5.94 | % 22.82/5.94 | Equations (407) can reduce 208 to: % 22.82/5.94 | (3124) ~ (all_0_58_58 = e4) % 22.82/5.94 | % 22.82/5.94 | Simplifying 3124 yields: % 22.82/5.94 | (880) ~ (all_0_58_58 = e4) % 22.82/5.94 | % 22.82/5.94 +-Applying beta-rule and splitting (1306), into two cases. % 22.82/5.94 |-Branch one: % 22.82/5.94 | (892) all_0_44_44 = e3 % 22.82/5.94 | % 22.82/5.94 | Equations (892) can reduce 914 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (914) ~ (all_0_44_44 = e3) % 22.82/5.94 | (495) all_0_44_44 = e4 % 22.82/5.94 | % 22.82/5.94 | Equations (495) can reduce 120 to: % 22.82/5.94 | (3130) ~ (all_0_46_46 = e4) % 22.82/5.94 | % 22.82/5.94 | Simplifying 3130 yields: % 22.82/5.94 | (936) ~ (all_0_46_46 = e4) % 22.82/5.94 | % 22.82/5.94 +-Applying beta-rule and splitting (192), into two cases. % 22.82/5.94 |-Branch one: % 22.82/5.94 | (982) all_0_46_46 = e1 % 22.82/5.94 | % 22.82/5.94 | Equations (982) can reduce 260 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (260) ~ (all_0_46_46 = e1) % 22.82/5.94 | (985) all_0_46_46 = e4 | all_0_46_46 = e2 % 22.82/5.94 | % 22.82/5.94 +-Applying beta-rule and splitting (51), into two cases. % 22.82/5.94 |-Branch one: % 22.82/5.94 | (337) all_0_58_58 = e1 % 22.82/5.94 | % 22.82/5.94 | Equations (337) can reduce 262 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (262) ~ (all_0_58_58 = e1) % 22.82/5.94 | (3139) all_0_58_58 = e4 | all_0_58_58 = e2 % 22.82/5.94 | % 22.82/5.94 +-Applying beta-rule and splitting (985), into two cases. % 22.82/5.94 |-Branch one: % 22.82/5.94 | (933) all_0_46_46 = e4 % 22.82/5.94 | % 22.82/5.94 | Equations (933) can reduce 936 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (936) ~ (all_0_46_46 = e4) % 22.82/5.94 | (358) all_0_46_46 = e2 % 22.82/5.94 | % 22.82/5.94 | Equations (358) can reduce 236 to: % 22.82/5.94 | (2286) ~ (all_0_58_58 = e2) % 22.82/5.94 | % 22.82/5.94 | Simplifying 2286 yields: % 22.82/5.94 | (958) ~ (all_0_58_58 = e2) % 22.82/5.94 | % 22.82/5.94 +-Applying beta-rule and splitting (3139), into two cases. % 22.82/5.94 |-Branch one: % 22.82/5.94 | (413) all_0_58_58 = e4 % 22.82/5.94 | % 22.82/5.94 | Equations (413) can reduce 880 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (880) ~ (all_0_58_58 = e4) % 22.82/5.94 | (955) all_0_58_58 = e2 % 22.82/5.94 | % 22.82/5.94 | Equations (955) can reduce 958 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (411) ~ (all_0_57_57 = e4) % 22.82/5.94 | (372) all_0_57_57 = e2 % 22.82/5.94 | % 22.82/5.94 | Equations (372) can reduce 922 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (1603) ~ (all_0_55_55 = e3) % 22.82/5.94 | (385) all_0_55_55 = e2 % 22.82/5.94 | % 22.82/5.94 | Equations (385) can reduce 968 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (373) ~ (all_0_54_54 = e2) % 22.82/5.94 | (385) all_0_55_55 = e2 % 22.82/5.94 | % 22.82/5.94 | Equations (385) can reduce 112 to: % 22.82/5.94 | (188) ~ (all_0_43_43 = e2) % 22.82/5.94 | % 22.82/5.94 | Equations (385) can reduce 42 to: % 22.82/5.94 | (941) ~ (all_0_52_52 = e2) % 22.82/5.94 | % 22.82/5.94 | Equations (385) can reduce 85 to: % 22.82/5.94 | (373) ~ (all_0_54_54 = e2) % 22.82/5.94 | % 22.82/5.94 | Equations (385) can reduce 277 to: % 22.82/5.94 | (134) ~ (e2 = e1) % 22.82/5.94 | % 22.82/5.94 | From (385) and (218) follows: % 22.82/5.94 | (389) op(e1, e0) = e2 % 22.82/5.94 | % 22.82/5.94 +-Applying beta-rule and splitting (137), into two cases. % 22.82/5.94 |-Branch one: % 22.82/5.94 | (1669) all_0_54_54 = e1 % 22.82/5.94 | % 22.82/5.94 | Equations (1669) can reduce 275 to: % 22.82/5.94 | (298) $false % 22.82/5.94 | % 22.82/5.94 |-The branch is then unsatisfiable % 22.82/5.94 |-Branch two: % 22.82/5.94 | (275) ~ (all_0_54_54 = e1) % 22.82/5.94 | (1672) all_0_54_54 = e3 | all_0_54_54 = e2 % 22.82/5.94 | % 22.82/5.94 +-Applying beta-rule and splitting (1672), into two cases. % 22.82/5.94 |-Branch one: % 22.82/5.94 | (424) all_0_54_54 = e3 % 22.82/5.94 | % 22.82/5.94 | Equations (424) can reduce 35 to: % 22.82/5.94 | (425) ~ (all_0_40_40 = e3) % 22.82/5.94 | % 22.82/5.94 | Equations (424) can reduce 81 to: % 22.82/5.94 | (2823) ~ (all_0_57_57 = e3) % 22.82/5.94 | % 22.82/5.94 | Simplifying 2823 yields: % 22.82/5.94 | (905) ~ (all_0_57_57 = e3) % 22.82/5.94 | % 22.82/5.94 | Equations (424) can reduce 275 to: % 22.82/5.94 | (214) ~ (e3 = e1) % 22.82/5.94 | % 22.82/5.94 | From (424) and (38) follows: % 22.82/5.94 | (428) op(e3, e1) = all_0_27_27 % 22.82/5.94 | % 22.82/5.94 +-Applying beta-rule and splitting (109), into two cases. % 22.82/5.94 |-Branch one: % 22.82/5.94 | (747) all_0_40_40 = e1 % 22.82/5.95 | % 22.82/5.95 | Equations (747) can reduce 254 to: % 22.82/5.95 | (298) $false % 22.82/5.95 | % 22.82/5.95 |-The branch is then unsatisfiable % 22.82/5.95 |-Branch two: % 22.82/5.95 | (254) ~ (all_0_40_40 = e1) % 22.82/5.95 | (750) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e0 % 22.82/5.95 | % 22.82/5.95 +-Applying beta-rule and splitting (750), into two cases. % 22.82/5.95 |-Branch one: % 22.82/5.95 | (461) all_0_40_40 = e0 % 22.82/5.95 | % 22.82/5.95 | Equations (461) can reduce 745 to: % 22.82/5.95 | (298) $false % 22.82/5.95 | % 22.82/5.95 |-The branch is then unsatisfiable % 22.82/5.95 |-Branch two: % 22.82/5.95 | (745) ~ (all_0_40_40 = e0) % 22.82/5.95 | (754) all_0_40_40 = e4 | all_0_40_40 = e3 % 22.82/5.95 | % 22.82/5.95 +-Applying beta-rule and splitting (103), into two cases. % 22.82/5.95 |-Branch one: % 22.82/5.95 | (838) all_0_50_50 = e2 % 22.82/5.95 | % 22.82/5.95 | Combining equations (771,838) yields a new equation: % 22.82/5.95 | (544) e2 = e1 % 22.82/5.95 | % 22.82/5.95 | Equations (544) can reduce 134 to: % 22.82/5.95 | (298) $false % 22.82/5.95 | % 22.82/5.95 |-The branch is then unsatisfiable % 22.82/5.95 |-Branch two: % 22.82/5.95 | (398) ~ (all_0_50_50 = e2) % 22.82/5.95 | (1906) all_0_51_51 = e2 | all_0_52_52 = e2 % 22.82/5.95 | % 22.82/5.95 +-Applying beta-rule and splitting (1906), into two cases. % 22.82/5.95 |-Branch one: % 22.82/5.95 | (396) all_0_51_51 = e2 % 22.82/5.95 | % 22.82/5.95 | Equations (396) can reduce 82 to: % 22.82/5.95 | (86) ~ (all_0_49_49 = e2) % 22.82/5.95 | % 22.82/5.95 | Equations (396) can reduce 22 to: % 22.82/5.95 | (2566) ~ (all_0_52_52 = e2) % 22.82/5.95 | % 22.82/5.95 | Simplifying 2566 yields: % 22.82/5.95 | (941) ~ (all_0_52_52 = e2) % 22.82/5.95 | % 22.82/5.95 +-Applying beta-rule and splitting (754), into two cases. % 22.82/5.95 |-Branch one: % 22.82/5.95 | (755) all_0_40_40 = e3 % 22.82/5.95 | % 22.82/5.95 | Equations (755) can reduce 425 to: % 22.82/5.95 | (298) $false % 22.82/5.95 | % 22.82/5.95 |-The branch is then unsatisfiable % 22.82/5.95 |-Branch two: % 22.82/5.95 | (425) ~ (all_0_40_40 = e3) % 23.16/5.95 | (479) all_0_40_40 = e4 % 23.16/5.95 | % 23.16/5.95 | Equations (479) can reduce 204 to: % 23.16/5.95 | (3195) ~ (all_0_42_42 = e4) % 23.16/5.95 | % 23.16/5.95 | Simplifying 3195 yields: % 23.16/5.95 | (247) ~ (all_0_42_42 = e4) % 23.16/5.95 | % 23.16/5.95 | Equations (479) can reduce 238 to: % 23.16/5.95 | (1974) ~ (all_0_43_43 = e4) % 23.16/5.95 | % 23.16/5.95 | Simplifying 1974 yields: % 23.16/5.95 | (601) ~ (all_0_43_43 = e4) % 23.16/5.95 | % 23.16/5.95 | Equations (479) can reduce 64 to: % 23.16/5.95 | (1980) ~ (all_0_57_57 = e4) % 23.16/5.95 | % 23.16/5.95 | Simplifying 1980 yields: % 23.16/5.95 | (411) ~ (all_0_57_57 = e4) % 23.16/5.95 | % 23.16/5.95 | Equations (479) can reduce 254 to: % 23.16/5.95 | (115) ~ (e4 = e1) % 23.16/5.95 | % 23.16/5.95 | From (479) and (127) follows: % 23.16/5.95 | (3202) op(e4, e4) = all_0_0_0 % 23.16/5.95 | % 23.16/5.95 | From (479) and (43) follows: % 23.16/5.95 | (3203) op(e4, e3) = all_0_1_1 % 23.16/5.95 | % 23.16/5.95 | From (479) and (233) follows: % 23.16/5.95 | (763) op(e4, e3) = e4 % 23.16/5.95 | % 23.16/5.95 +-Applying beta-rule and splitting (239), into two cases. % 23.16/5.95 |-Branch one: % 23.16/5.95 | (322) all_0_57_57 = e1 % 23.16/5.95 | % 23.16/5.95 | Equations (322) can reduce 294 to: % 23.16/5.95 | (298) $false % 23.16/5.95 | % 23.16/5.95 |-The branch is then unsatisfiable % 23.16/5.95 |-Branch two: % 23.16/5.95 | (294) ~ (all_0_57_57 = e1) % 23.16/5.95 | (2344) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e2 | all_0_57_57 = e0 % 23.16/5.95 | % 23.16/5.95 +-Applying beta-rule and splitting (2344), into two cases. % 23.16/5.95 |-Branch one: % 23.16/5.95 | (1242) all_0_57_57 = e0 % 23.16/5.95 | % 23.16/5.95 | Equations (1242) can reduce 307 to: % 23.16/5.95 | (298) $false % 23.16/5.95 | % 23.16/5.95 |-The branch is then unsatisfiable % 23.16/5.95 |-Branch two: % 23.16/5.95 | (307) ~ (all_0_57_57 = e0) % 23.16/5.95 | (2348) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e2 % 23.16/5.95 | % 23.16/5.95 +-Applying beta-rule and splitting (2348), into two cases. % 23.16/5.95 |-Branch one: % 23.16/5.95 | (902) all_0_57_57 = e3 % 23.16/5.95 | % 23.16/5.95 | Equations (902) can reduce 905 to: % 23.16/5.95 | (298) $false % 23.16/5.95 | % 23.16/5.95 |-The branch is then unsatisfiable % 23.16/5.95 |-Branch two: % 23.16/5.95 | (905) ~ (all_0_57_57 = e3) % 23.16/5.95 | (2500) all_0_57_57 = e4 | all_0_57_57 = e2 % 23.16/5.95 | % 23.16/5.95 +-Applying beta-rule and splitting (2500), into two cases. % 23.16/5.95 |-Branch one: % 23.16/5.95 | (407) all_0_57_57 = e4 % 23.16/5.95 | % 23.16/5.95 | Equations (407) can reduce 411 to: % 23.16/5.95 | (298) $false % 23.16/5.95 | % 23.16/5.95 |-The branch is then unsatisfiable % 23.16/5.95 |-Branch two: % 23.16/5.95 | (411) ~ (all_0_57_57 = e4) % 23.16/5.95 | (372) all_0_57_57 = e2 % 23.16/5.95 | % 23.16/5.95 | Equations (372) can reduce 152 to: % 23.16/5.95 | (26) ~ (all_0_56_56 = e2) % 23.16/5.95 | % 23.16/5.95 | Equations (372) can reduce 208 to: % 23.16/5.95 | (2286) ~ (all_0_58_58 = e2) % 23.16/5.95 | % 23.16/5.95 | Simplifying 2286 yields: % 23.16/5.95 | (958) ~ (all_0_58_58 = e2) % 23.16/5.95 | % 23.16/5.95 | Equations (372) can reduce 411 to: % 23.16/5.95 | (399) ~ (e4 = e2) % 23.16/5.95 | % 23.16/5.95 | Simplifying 399 yields: % 23.16/5.95 | (46) ~ (e4 = e2) % 23.16/5.95 | % 23.16/5.95 | From (372) and (30) follows: % 23.16/5.95 | (374) op(e2, e3) = all_0_34_34 % 23.16/5.95 | % 23.16/5.95 | From (372) and (150) follows: % 23.16/5.95 | (375) op(e0, e3) = e2 % 23.16/5.95 | % 23.16/5.95 +-Applying beta-rule and splitting (57), into two cases. % 23.16/5.95 |-Branch one: % 23.16/5.95 | (358) all_0_46_46 = e2 % 23.16/5.95 | % 23.16/5.95 | Equations (358) can reduce 120 to: % 23.16/5.95 | (107) ~ (all_0_44_44 = e2) % 23.16/5.95 | % 23.16/5.95 | From (358) and (240) follows: % 23.16/5.95 | (366) op(e2, e3) = all_0_11_11 % 23.16/5.95 | % 23.16/5.95 +-Applying beta-rule and splitting (203), into two cases. % 23.16/5.95 |-Branch one: % 23.16/5.95 | (603) all_0_41_41 = e4 % 23.16/5.95 | % 23.16/5.95 | Combining equations (253,603) yields a new equation: % 23.16/5.95 | (535) e4 = e1 % 23.16/5.95 | % 23.16/5.95 | Equations (535) can reduce 115 to: % 23.16/5.95 | (298) $false % 23.16/5.95 | % 23.16/5.95 |-The branch is then unsatisfiable % 23.16/5.95 |-Branch two: % 23.16/5.95 | (607) ~ (all_0_41_41 = e4) % 23.16/5.95 | (932) all_0_46_46 = e4 | all_0_58_58 = e4 % 23.16/5.95 | % 23.16/5.95 +-Applying beta-rule and splitting (932), into two cases. % 23.16/5.95 |-Branch one: % 23.16/5.95 | (933) all_0_46_46 = e4 % 23.16/5.95 | % 23.16/5.95 | Combining equations (358,933) yields a new equation: % 23.16/5.95 | (409) e4 = e2 % 23.16/5.95 | % 23.16/5.95 | Equations (409) can reduce 46 to: % 23.16/5.95 | (298) $false % 23.16/5.95 | % 23.16/5.95 |-The branch is then unsatisfiable % 23.16/5.95 |-Branch two: % 23.16/5.95 | (936) ~ (all_0_46_46 = e4) % 23.16/5.95 | (413) all_0_58_58 = e4 % 23.16/5.95 | % 23.16/5.95 | Equations (413) can reduce 230 to: % 23.16/5.95 | (394) ~ (all_0_56_56 = e4) % 23.16/5.95 | % 23.16/5.95 | Equations (413) can reduce 25 to: % 23.16/5.95 | (3242) ~ (all_0_59_59 = e4) % 23.16/5.95 | % 23.16/5.95 | Simplifying 3242 yields: % 23.16/5.95 | (123) ~ (all_0_59_59 = e4) % 23.16/5.95 | % 23.16/5.95 | Equations (413) can reduce 161 to: % 23.16/5.95 | (184) ~ (e4 = e3) % 23.16/5.95 | % 23.16/5.95 | Equations (413) can reduce 199 to: % 23.16/5.95 | (47) ~ (e4 = e0) % 23.16/5.95 | % 23.16/5.95 | From (413) and (191) follows: % 23.16/5.95 | (416) op(e4, e2) = all_0_36_36 % 23.16/5.95 | % 23.16/5.95 | From (413) and (145) follows: % 23.16/5.95 | (417) op(e4, e0) = all_0_35_35 % 23.16/5.95 | % 23.16/5.95 | From (413) and (185) follows: % 23.16/5.95 | (418) op(e0, e2) = e4 % 23.16/5.95 | % 23.16/5.95 | Instantiating formula (206) with e4, e4, all_0_0_0, e2 and discharging atoms op(e4, e4) = all_0_0_0, op(e4, e4) = e2, yields: % 23.16/5.95 | (3249) all_0_0_0 = e2 % 23.16/5.95 | % 23.16/5.95 | Instantiating formula (206) with e4, e3, e4, all_0_1_1 and discharging atoms op(e4, e3) = all_0_1_1, op(e4, e3) = e4, yields: % 23.16/5.95 | (1760) all_0_1_1 = e4 % 23.16/5.95 | % 23.16/5.95 | Instantiating formula (206) with e4, e2, all_0_36_36, e1 and discharging atoms op(e4, e2) = all_0_36_36, op(e4, e2) = e1, yields: % 23.16/5.95 | (430) all_0_36_36 = e1 % 23.16/5.95 | % 23.16/5.95 | Instantiating formula (206) with e4, e0, all_0_35_35, all_0_43_43 and discharging atoms op(e4, e0) = all_0_35_35, op(e4, e0) = all_0_43_43, yields: % 23.16/5.95 | (431) all_0_35_35 = all_0_43_43 % 23.16/5.95 | % 23.16/5.95 | Instantiating formula (206) with e3, e1, all_0_27_27, e1 and discharging atoms op(e3, e1) = all_0_27_27, op(e3, e1) = e1, yields: % 23.16/5.95 | (3253) all_0_27_27 = e1 % 23.16/5.95 | % 23.16/5.95 | Instantiating formula (206) with e2, e3, all_0_11_11, e1 and discharging atoms op(e2, e3) = all_0_11_11, op(e2, e3) = e1, yields: % 23.16/5.95 | (3254) all_0_11_11 = e1 % 23.16/5.95 | % 23.16/5.95 | Instantiating formula (206) with e2, e3, all_0_34_34, all_0_11_11 and discharging atoms op(e2, e3) = all_0_11_11, op(e2, e3) = all_0_34_34, yields: % 23.16/5.95 | (436) all_0_11_11 = all_0_34_34 % 23.16/5.95 | % 23.16/5.95 | Combining equations (436,3254) yields a new equation: % 23.16/5.95 | (3256) all_0_34_34 = e1 % 23.16/5.95 | % 23.16/5.95 | Simplifying 3256 yields: % 23.16/5.95 | (3257) all_0_34_34 = e1 % 23.16/5.95 | % 23.16/5.95 | From (3249) and (3202) follows: % 23.16/5.95 | (187) op(e4, e4) = e2 % 23.16/5.95 | % 23.16/5.95 | From (1760) and (3203) follows: % 23.16/5.95 | (763) op(e4, e3) = e4 % 23.16/5.95 | % 23.16/5.95 | From (430) and (416) follows: % 23.16/5.95 | (268) op(e4, e2) = e1 % 23.16/5.95 | % 23.16/5.95 | From (431) and (417) follows: % 23.16/5.95 | (34) op(e4, e0) = all_0_43_43 % 23.16/5.95 | % 23.16/5.95 | From (3253) and (428) follows: % 23.16/5.95 | (1796) op(e3, e1) = e1 % 23.16/5.95 | % 23.16/5.95 | From (3257) and (374) follows: % 23.16/5.95 | (2237) op(e2, e3) = e1 % 23.16/5.95 | % 23.16/5.95 +-Applying beta-rule and splitting (92), into two cases. % 23.16/5.95 |-Branch one: % 23.16/5.95 | (453) all_0_42_42 = e1 % 23.16/5.95 | % 23.16/5.95 | Equations (453) can reduce 256 to: % 23.16/5.95 | (298) $false % 23.16/5.95 | % 23.16/5.95 |-The branch is then unsatisfiable % 23.16/5.95 |-Branch two: % 23.16/5.95 | (256) ~ (all_0_42_42 = e1) % 23.16/5.95 | (456) all_0_42_42 = e3 | all_0_42_42 = e0 % 23.16/5.95 | % 23.16/5.95 +-Applying beta-rule and splitting (105), into two cases. % 23.16/5.95 |-Branch one: % 23.16/5.95 | (457) all_0_49_49 = e1 % 23.16/5.95 | % 23.16/5.95 | Equations (457) can reduce 329 to: % 23.16/5.95 | (298) $false % 23.16/5.95 | % 23.16/5.95 |-The branch is then unsatisfiable % 23.16/5.95 |-Branch two: % 23.16/5.95 | (329) ~ (all_0_49_49 = e1) % 23.16/5.95 | (460) all_0_49_49 = e4 | all_0_49_49 = e0 % 23.16/5.95 | % 23.16/5.95 +-Applying beta-rule and splitting (54), into two cases. % 23.16/5.95 |-Branch one: % 23.16/5.95 | (500) all_0_44_44 = e0 % 23.16/5.95 | % 23.16/5.95 | Equations (500) can reduce 503 to: % 23.16/5.95 | (298) $false % 23.16/5.95 | % 23.16/5.95 |-The branch is then unsatisfiable % 23.16/5.95 |-Branch two: % 23.16/5.95 | (503) ~ (all_0_44_44 = e0) % 23.16/5.95 | (504) all_0_49_49 = e0 | all_0_56_56 = e0 % 23.16/5.95 | % 23.16/5.95 +-Applying beta-rule and splitting (212), into two cases. % 23.16/5.95 |-Branch one: % 23.16/5.95 | (461) all_0_40_40 = e0 % 23.16/5.95 | % 23.16/5.95 | Combining equations (461,479) yields a new equation: % 23.16/5.95 | (481) e4 = e0 % 23.16/5.95 | % 23.16/5.95 | Equations (481) can reduce 47 to: % 23.16/5.95 | (298) $false % 23.16/5.95 | % 23.16/5.95 |-The branch is then unsatisfiable % 23.16/5.95 |-Branch two: % 23.16/5.95 | (745) ~ (all_0_40_40 = e0) % 23.16/5.95 | (746) all_0_42_42 = e0 | all_0_43_43 = e0 % 23.16/5.95 | % 23.16/5.95 | Equations (479) can reduce 745 to: % 23.16/5.95 | (47) ~ (e4 = e0) % 23.16/5.95 | % 23.16/5.95 +-Applying beta-rule and splitting (251), into two cases. % 23.16/5.95 |-Branch one: % 23.16/5.95 | (469) all_0_42_42 = e3 % 23.16/5.95 | % 23.16/5.95 | Equations (469) can reduce 20 to: % 23.16/5.95 | (470) ~ (all_0_43_43 = e3) % 23.16/5.95 | % 23.16/5.95 | Simplifying 470 yields: % 23.16/5.95 | (471) ~ (all_0_43_43 = e3) % 23.16/5.95 | % 23.16/5.95 | Equations (469) can reduce 256 to: % 23.16/5.95 | (214) ~ (e3 = e1) % 23.16/5.95 | % 23.16/5.95 +-Applying beta-rule and splitting (96), into two cases. % 23.16/5.95 |-Branch one: % 23.16/5.95 | (376) all_0_56_56 = e3 % 23.16/5.95 | % 23.16/5.95 | Equations (376) can reduce 195 to: % 23.16/5.95 | (914) ~ (all_0_44_44 = e3) % 23.16/5.95 | % 23.16/5.95 | Equations (376) can reduce 26 to: % 23.16/5.95 | (213) ~ (e3 = e2) % 23.16/5.95 | % 23.16/5.95 | Equations (376) can reduce 279 to: % 23.16/5.95 | (214) ~ (e3 = e1) % 23.16/5.95 | % 23.16/5.95 | From (376) and (48) follows: % 23.16/5.95 | (381) op(e0, e4) = e3 % 23.16/5.95 | % 23.16/5.95 +-Applying beta-rule and splitting (170), into two cases. % 23.16/5.95 |-Branch one: % 23.16/5.95 | (1299) all_0_44_44 = e1 % 23.16/5.95 | % 23.16/5.95 | Equations (1299) can reduce 273 to: % 23.16/5.95 | (298) $false % 23.16/5.95 | % 23.16/5.95 |-The branch is then unsatisfiable % 23.16/5.95 |-Branch two: % 23.16/5.95 | (273) ~ (all_0_44_44 = e1) % 23.16/5.95 | (1302) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e0 % 23.16/5.95 | % 23.16/5.95 +-Applying beta-rule and splitting (1302), into two cases. % 23.16/5.95 |-Branch one: % 23.16/5.95 | (500) all_0_44_44 = e0 % 23.16/5.95 | % 23.16/5.95 | Equations (500) can reduce 503 to: % 23.16/5.95 | (298) $false % 23.16/5.95 | % 23.16/5.95 |-The branch is then unsatisfiable % 23.16/5.95 |-Branch two: % 23.16/5.95 | (503) ~ (all_0_44_44 = e0) % 23.16/5.95 | (1306) all_0_44_44 = e4 | all_0_44_44 = e3 % 23.16/5.95 | % 23.16/5.95 +-Applying beta-rule and splitting (1306), into two cases. % 23.16/5.95 |-Branch one: % 23.16/5.95 | (892) all_0_44_44 = e3 % 23.16/5.95 | % 23.16/5.95 | Equations (892) can reduce 914 to: % 23.16/5.95 | (298) $false % 23.16/5.95 | % 23.16/5.95 |-The branch is then unsatisfiable % 23.16/5.95 |-Branch two: % 23.16/5.95 | (914) ~ (all_0_44_44 = e3) % 23.16/5.95 | (495) all_0_44_44 = e4 % 23.16/5.95 | % 23.16/5.95 | From (495) and (124) follows: % 23.16/5.95 | (499) op(e3, e4) = e4 % 23.16/5.95 | % 23.16/5.95 +-Applying beta-rule and splitting (167), into two cases. % 23.16/5.95 |-Branch one: % 23.16/5.95 | (310) all_0_43_43 = e1 % 23.16/5.95 | % 23.16/5.95 | Equations (310) can reduce 258 to: % 23.16/5.95 | (298) $false % 23.16/5.95 | % 23.16/5.95 |-The branch is then unsatisfiable % 23.16/5.95 |-Branch two: % 23.16/5.95 | (258) ~ (all_0_43_43 = e1) % 23.16/5.95 | (519) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e0 % 23.16/5.95 | % 23.16/5.95 +-Applying beta-rule and splitting (68), into two cases. % 23.16/5.95 |-Branch one: % 23.16/5.95 | (475) all_0_43_43 = e3 % 23.16/5.95 | % 23.16/5.95 | Equations (475) can reduce 471 to: % 23.16/5.95 | (298) $false % 23.16/5.95 | % 23.16/5.95 |-The branch is then unsatisfiable % 23.16/5.95 |-Branch two: % 23.16/5.95 | (471) ~ (all_0_43_43 = e3) % 23.16/5.95 | (478) all_0_48_48 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 23.16/5.95 | % 23.16/5.95 +-Applying beta-rule and splitting (12), into two cases. % 23.16/5.95 |-Branch one: % 23.16/5.95 | (1253) all_0_43_43 = e0 % 23.16/5.95 | % 23.16/5.95 | Equations (1253) can reduce 188 to: % 23.16/5.95 | (782) ~ (e2 = e0) % 23.16/5.95 | % 23.16/5.95 | Simplifying 782 yields: % 23.16/5.95 | (139) ~ (e2 = e0) % 23.16/5.95 | % 23.16/5.96 | Equations (1253) can reduce 258 to: % 23.16/5.96 | (526) ~ (e1 = e0) % 23.16/5.96 | % 23.16/5.96 | Simplifying 526 yields: % 23.16/5.96 | (231) ~ (e1 = e0) % 23.16/5.96 | % 23.16/5.96 | From (1253) and (34) follows: % 23.16/5.96 | (559) op(e4, e0) = e0 % 23.16/5.96 | % 23.16/5.96 +-Applying beta-rule and splitting (55), into two cases. % 23.16/5.96 |-Branch one: % 23.16/5.96 | (529) unit = e1 % 23.16/5.96 | % 23.16/5.96 | From (529) and (60) follows: % 23.16/5.96 | (1391) op(e1, e0) = e0 % 23.16/5.96 | % 23.16/5.96 | Instantiating formula (206) with e1, e0, e0, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e0, yields: % 23.16/5.96 | (569) e2 = e0 % 23.16/5.96 | % 23.16/5.96 | Equations (569) can reduce 139 to: % 23.16/5.96 | (298) $false % 23.16/5.96 | % 23.16/5.96 |-The branch is then unsatisfiable % 23.16/5.96 |-Branch two: % 23.16/5.96 | (540) ~ (unit = e1) % 23.16/5.96 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 23.16/5.96 | % 23.16/5.96 +-Applying beta-rule and splitting (541), into two cases. % 23.16/5.96 |-Branch one: % 23.16/5.96 | (542) unit = e0 % 23.16/5.96 | % 23.16/5.96 | Equations (542) can reduce 540 to: % 23.16/5.96 | (526) ~ (e1 = e0) % 23.16/5.96 | % 23.16/5.96 | Simplifying 526 yields: % 23.16/5.96 | (231) ~ (e1 = e0) % 23.16/5.96 | % 23.16/5.96 | From (542) and (24) follows: % 23.16/5.96 | (981) op(e0, e2) = e2 % 23.16/5.96 | % 23.16/5.96 | From (542) and (243) follows: % 23.16/5.96 | (522) op(e4, e0) = e4 % 23.16/5.96 | % 23.16/5.96 | From (542) and (221) follows: % 23.16/5.96 | (543) op(e1, e0) = e1 % 23.16/5.96 | % 23.16/5.96 | Instantiating formula (206) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 23.16/5.96 | (481) e4 = e0 % 23.16/5.96 | % 23.16/5.96 | Instantiating formula (206) with e1, e0, e1, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e1, yields: % 23.16/5.96 | (544) e2 = e1 % 23.16/5.96 | % 23.16/5.96 | Instantiating formula (206) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 23.16/5.96 | (409) e4 = e2 % 23.16/5.96 | % 23.16/5.96 | Combining equations (481,409) yields a new equation: % 23.16/5.96 | (569) e2 = e0 % 23.16/5.96 | % 23.16/5.96 | Combining equations (544,569) yields a new equation: % 23.16/5.96 | (296) e1 = e0 % 23.16/5.96 | % 23.16/5.96 | Simplifying 296 yields: % 23.16/5.96 | (297) e1 = e0 % 23.16/5.96 | % 23.16/5.96 | Equations (297) can reduce 231 to: % 23.16/5.96 | (298) $false % 23.16/5.96 | % 23.16/5.96 |-The branch is then unsatisfiable % 23.16/5.96 |-Branch two: % 23.16/5.96 | (546) ~ (unit = e0) % 23.16/5.96 | (547) unit = e4 | unit = e3 | unit = e2 % 23.16/5.96 | % 23.16/5.96 +-Applying beta-rule and splitting (547), into two cases. % 23.16/5.96 |-Branch one: % 23.16/5.96 | (548) unit = e3 % 23.16/5.96 | % 23.16/5.96 | From (548) and (66) follows: % 23.16/5.96 | (1415) op(e2, e3) = e2 % 23.16/5.96 | % 23.16/5.96 | From (548) and (67) follows: % 23.16/5.96 | (803) op(e0, e3) = e0 % 23.16/5.96 | % 23.16/5.96 | Instantiating formula (206) with e2, e3, e2, e1 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e1, yields: % 23.16/5.96 | (544) e2 = e1 % 23.16/5.96 | % 23.16/5.96 | Instantiating formula (206) with e0, e3, e0, e2 and discharging atoms op(e0, e3) = e2, op(e0, e3) = e0, yields: % 23.16/5.96 | (569) e2 = e0 % 23.16/5.96 | % 23.16/5.96 | Combining equations (544,569) yields a new equation: % 23.16/5.96 | (296) e1 = e0 % 23.16/5.96 | % 23.16/5.96 | Simplifying 296 yields: % 23.16/5.96 | (297) e1 = e0 % 23.16/5.96 | % 23.16/5.96 | Equations (297) can reduce 231 to: % 23.16/5.96 | (298) $false % 23.16/5.96 | % 23.16/5.96 |-The branch is then unsatisfiable % 23.16/5.96 |-Branch two: % 23.16/5.96 | (555) ~ (unit = e3) % 23.16/5.96 | (556) unit = e4 | unit = e2 % 23.16/5.96 | % 23.16/5.96 +-Applying beta-rule and splitting (556), into two cases. % 23.16/5.96 |-Branch one: % 23.16/5.96 | (557) unit = e4 % 23.16/5.96 | % 23.16/5.96 | From (557) and (24) follows: % 23.16/5.96 | (558) op(e4, e2) = e2 % 23.16/5.96 | % 23.16/5.96 | From (557) and (243) follows: % 23.16/5.96 | (560) op(e4, e4) = e4 % 23.16/5.96 | % 23.16/5.96 | From (557) and (74) follows: % 23.16/5.96 | (561) op(e3, e4) = e3 % 23.16/5.96 | % 23.16/5.96 | From (557) and (67) follows: % 23.16/5.96 | (812) op(e0, e4) = e0 % 23.16/5.96 | % 23.16/5.96 | Instantiating formula (206) with e4, e4, e4, e2 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e2, yields: % 23.16/5.96 | (409) e4 = e2 % 23.16/5.96 | % 23.16/5.96 | Instantiating formula (206) with e4, e2, e2, e1 and discharging atoms op(e4, e2) = e2, op(e4, e2) = e1, yields: % 23.16/5.96 | (544) e2 = e1 % 23.16/5.96 | % 23.16/5.96 | Instantiating formula (206) with e3, e4, e3, e4 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e3, yields: % 23.16/5.96 | (392) e4 = e3 % 23.16/5.96 | % 23.16/5.96 | Instantiating formula (206) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 23.16/5.96 | (534) e3 = e0 % 23.16/5.96 | % 23.16/5.96 | Combining equations (409,392) yields a new equation: % 23.16/5.96 | (567) e3 = e2 % 23.16/5.96 | % 23.16/5.96 | Combining equations (567,534) yields a new equation: % 23.16/5.96 | (568) e2 = e0 % 23.16/5.96 | % 23.16/5.96 | Simplifying 568 yields: % 23.16/5.96 | (569) e2 = e0 % 23.16/5.96 | % 23.16/5.96 | Combining equations (544,569) yields a new equation: % 23.16/5.96 | (296) e1 = e0 % 23.16/5.96 | % 23.16/5.96 | Simplifying 296 yields: % 23.16/5.96 | (297) e1 = e0 % 23.16/5.96 | % 23.16/5.96 | Equations (297) can reduce 231 to: % 23.16/5.96 | (298) $false % 23.16/5.96 | % 23.16/5.96 |-The branch is then unsatisfiable % 23.16/5.96 |-Branch two: % 23.16/5.96 | (573) ~ (unit = e4) % 23.16/5.96 | (574) unit = e2 % 23.16/5.96 | % 23.16/5.96 | From (574) and (243) follows: % 23.16/5.96 | (576) op(e4, e2) = e4 % 23.16/5.96 | % 23.16/5.96 | From (574) and (67) follows: % 23.16/5.96 | (578) op(e0, e2) = e0 % 23.16/5.96 | % 23.16/5.96 | Instantiating formula (206) with e4, e2, e4, e1 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e1, yields: % 23.16/5.96 | (535) e4 = e1 % 23.16/5.96 | % 23.16/5.96 | Instantiating formula (206) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields: % 23.16/5.96 | (481) e4 = e0 % 23.16/5.96 | % 23.16/5.96 | Combining equations (481,535) yields a new equation: % 23.16/5.96 | (297) e1 = e0 % 23.16/5.96 | % 23.16/5.96 | Equations (297) can reduce 231 to: % 23.16/5.96 | (298) $false % 23.16/5.96 | % 23.16/5.96 |-The branch is then unsatisfiable % 23.16/5.96 |-Branch two: % 23.16/5.96 | (301) ~ (all_0_43_43 = e0) % 23.16/5.96 | (2731) all_0_48_48 = e0 | all_0_52_52 = e0 | all_0_60_60 = e0 % 23.16/5.96 | % 23.16/5.96 +-Applying beta-rule and splitting (478), into two cases. % 23.16/5.96 |-Branch one: % 23.16/5.96 | (491) all_0_48_48 = e3 % 23.16/5.96 | % 23.16/5.96 | Equations (491) can reduce 303 to: % 23.16/5.96 | (84) ~ (e3 = e0) % 23.16/5.96 | % 23.16/5.96 +-Applying beta-rule and splitting (746), into two cases. % 23.16/5.96 |-Branch one: % 23.16/5.96 | (466) all_0_42_42 = e0 % 23.16/5.96 | % 23.16/5.96 | Combining equations (466,469) yields a new equation: % 23.16/5.96 | (534) e3 = e0 % 23.16/5.96 | % 23.16/5.96 | Equations (534) can reduce 84 to: % 23.16/5.96 | (298) $false % 23.16/5.96 | % 23.16/5.96 |-The branch is then unsatisfiable % 23.16/5.96 |-Branch two: % 23.16/5.96 | (463) ~ (all_0_42_42 = e0) % 23.16/5.96 | (1253) all_0_43_43 = e0 % 23.16/5.96 | % 23.16/5.96 | Equations (1253) can reduce 301 to: % 23.16/5.96 | (298) $false % 23.16/5.96 | % 23.16/5.96 |-The branch is then unsatisfiable % 23.16/5.96 |-Branch two: % 23.16/5.96 | (711) ~ (all_0_48_48 = e3) % 23.16/5.96 | (712) all_0_55_55 = e3 | all_0_60_60 = e3 % 23.16/5.96 | % 23.16/5.96 +-Applying beta-rule and splitting (712), into two cases. % 23.16/5.96 |-Branch one: % 23.16/5.96 | (876) all_0_55_55 = e3 % 23.16/5.96 | % 23.16/5.96 | Combining equations (385,876) yields a new equation: % 23.16/5.96 | (567) e3 = e2 % 23.16/5.96 | % 23.16/5.96 | Equations (567) can reduce 213 to: % 23.16/5.96 | (298) $false % 23.16/5.96 | % 23.16/5.96 |-The branch is then unsatisfiable % 23.16/5.96 |-Branch two: % 23.16/5.96 | (1603) ~ (all_0_55_55 = e3) % 23.16/5.96 | (911) all_0_60_60 = e3 % 23.16/5.96 | % 23.16/5.96 | Combining equations (911,2157) yields a new equation: % 23.16/5.96 | (1084) e3 = e1 % 23.16/5.96 | % 23.16/5.96 | Simplifying 1084 yields: % 23.16/5.96 | (420) e3 = e1 % 23.16/5.96 | % 23.16/5.96 | Equations (420) can reduce 214 to: % 23.16/5.96 | (298) $false % 23.16/5.96 | % 23.16/5.96 |-The branch is then unsatisfiable % 23.16/5.96 |-Branch two: % 23.16/5.96 | (890) ~ (all_0_56_56 = e3) % 23.16/5.96 | (891) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 23.16/5.96 | % 23.16/5.96 +-Applying beta-rule and splitting (140), into two cases. % 23.16/5.96 |-Branch one: % 23.16/5.96 | (892) all_0_44_44 = e3 % 23.16/5.96 | % 23.16/5.96 | Equations (892) can reduce 6 to: % 23.16/5.96 | (2268) ~ (all_0_48_48 = e3) % 23.16/5.96 | % 23.16/5.96 | Simplifying 2268 yields: % 23.16/5.96 | (711) ~ (all_0_48_48 = e3) % 23.16/5.96 | % 23.16/5.96 | Equations (892) can reduce 107 to: % 23.16/5.96 | (213) ~ (e3 = e2) % 23.16/5.96 | % 23.16/5.96 | Equations (892) can reduce 273 to: % 23.16/5.96 | (214) ~ (e3 = e1) % 23.16/5.96 | % 23.16/5.96 +-Applying beta-rule and splitting (167), into two cases. % 23.16/5.96 |-Branch one: % 23.16/5.96 | (310) all_0_43_43 = e1 % 23.16/5.96 | % 23.16/5.96 | Equations (310) can reduce 258 to: % 23.16/5.96 | (298) $false % 23.16/5.96 | % 23.16/5.96 |-The branch is then unsatisfiable % 23.16/5.96 |-Branch two: % 23.16/5.96 | (258) ~ (all_0_43_43 = e1) % 23.16/5.96 | (519) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e0 % 23.16/5.96 | % 23.16/5.96 +-Applying beta-rule and splitting (45), into two cases. % 23.16/5.96 |-Branch one: % 23.16/5.96 | (520) all_0_43_43 = e4 % 23.16/5.96 | % 23.16/5.96 | Equations (520) can reduce 601 to: % 23.16/5.96 | (298) $false % 23.16/5.96 | % 23.16/5.96 |-The branch is then unsatisfiable % 23.16/5.96 |-Branch two: % 23.16/5.96 | (601) ~ (all_0_43_43 = e4) % 23.16/5.96 | (602) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_60_60 = e4 % 23.16/5.96 | % 23.16/5.96 +-Applying beta-rule and splitting (519), into two cases. % 23.16/5.96 |-Branch one: % 23.16/5.96 | (1253) all_0_43_43 = e0 % 23.16/5.96 | % 23.16/5.96 | Equations (1253) can reduce 471 to: % 23.16/5.96 | (620) ~ (e3 = e0) % 23.16/5.96 | % 23.16/5.96 | Simplifying 620 yields: % 23.16/5.96 | (84) ~ (e3 = e0) % 23.16/5.96 | % 23.16/5.96 +-Applying beta-rule and splitting (68), into two cases. % 23.16/5.96 |-Branch one: % 23.16/5.96 | (475) all_0_43_43 = e3 % 23.16/5.96 | % 23.16/5.96 | Combining equations (1253,475) yields a new equation: % 23.16/5.96 | (534) e3 = e0 % 23.16/5.96 | % 23.16/5.96 | Equations (534) can reduce 84 to: % 23.16/5.96 | (298) $false % 23.16/5.96 | % 23.16/5.96 |-The branch is then unsatisfiable % 23.16/5.96 |-Branch two: % 23.16/5.96 | (471) ~ (all_0_43_43 = e3) % 23.16/5.96 | (478) all_0_48_48 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 23.16/5.96 | % 23.16/5.96 +-Applying beta-rule and splitting (478), into two cases. % 23.16/5.96 |-Branch one: % 23.16/5.96 | (491) all_0_48_48 = e3 % 23.16/5.96 | % 23.16/5.96 | Equations (491) can reduce 711 to: % 23.16/5.96 | (298) $false % 23.16/5.96 | % 23.16/5.96 |-The branch is then unsatisfiable % 23.16/5.96 |-Branch two: % 23.16/5.96 | (711) ~ (all_0_48_48 = e3) % 23.16/5.96 | (712) all_0_55_55 = e3 | all_0_60_60 = e3 % 23.16/5.96 | % 23.16/5.96 +-Applying beta-rule and splitting (712), into two cases. % 23.16/5.96 |-Branch one: % 23.16/5.96 | (876) all_0_55_55 = e3 % 23.16/5.96 | % 23.16/5.96 | Combining equations (385,876) yields a new equation: % 23.16/5.96 | (567) e3 = e2 % 23.16/5.96 | % 23.16/5.96 | Equations (567) can reduce 213 to: % 23.16/5.96 | (298) $false % 23.16/5.96 | % 23.16/5.96 |-The branch is then unsatisfiable % 23.16/5.96 |-Branch two: % 23.16/5.96 | (1603) ~ (all_0_55_55 = e3) % 23.16/5.96 | (911) all_0_60_60 = e3 % 23.16/5.96 | % 23.16/5.96 | Combining equations (911,2157) yields a new equation: % 23.16/5.96 | (1084) e3 = e1 % 23.16/5.96 | % 23.16/5.96 | Simplifying 1084 yields: % 23.16/5.96 | (420) e3 = e1 % 23.16/5.96 | % 23.16/5.96 | Equations (420) can reduce 214 to: % 23.16/5.96 | (298) $false % 23.16/5.96 | % 23.16/5.96 |-The branch is then unsatisfiable % 23.16/5.96 |-Branch two: % 23.16/5.96 | (301) ~ (all_0_43_43 = e0) % 23.16/5.96 | (1972) all_0_43_43 = e4 | all_0_43_43 = e3 % 23.16/5.96 | % 23.16/5.96 +-Applying beta-rule and splitting (68), into two cases. % 23.16/5.96 |-Branch one: % 23.16/5.96 | (475) all_0_43_43 = e3 % 23.16/5.96 | % 23.16/5.96 | Equations (475) can reduce 471 to: % 23.16/5.96 | (298) $false % 23.16/5.96 | % 23.16/5.96 |-The branch is then unsatisfiable % 23.16/5.96 |-Branch two: % 23.16/5.96 | (471) ~ (all_0_43_43 = e3) % 23.16/5.96 | (478) all_0_48_48 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 23.16/5.96 | % 23.16/5.96 +-Applying beta-rule and splitting (1972), into two cases. % 23.16/5.96 |-Branch one: % 23.16/5.96 | (475) all_0_43_43 = e3 % 23.16/5.96 | % 23.16/5.96 | Equations (475) can reduce 471 to: % 23.16/5.96 | (298) $false % 23.16/5.96 | % 23.16/5.96 |-The branch is then unsatisfiable % 23.16/5.96 |-Branch two: % 23.16/5.96 | (471) ~ (all_0_43_43 = e3) % 23.16/5.96 | (520) all_0_43_43 = e4 % 23.16/5.96 | % 23.16/5.96 | Equations (520) can reduce 601 to: % 23.16/5.96 | (298) $false % 23.16/5.96 | % 23.16/5.96 |-The branch is then unsatisfiable % 23.16/5.96 |-Branch two: % 23.16/5.96 | (914) ~ (all_0_44_44 = e3) % 23.16/5.96 | (915) all_0_53_53 = e3 | all_0_56_56 = e3 % 23.16/5.96 | % 23.16/5.96 +-Applying beta-rule and splitting (915), into two cases. % 23.16/5.96 |-Branch one: % 23.16/5.96 | (419) all_0_53_53 = e3 % 23.16/5.96 | % 23.16/5.96 | Combining equations (272,419) yields a new equation: % 23.16/5.96 | (420) e3 = e1 % 23.16/5.96 | % 23.16/5.96 | Equations (420) can reduce 214 to: % 23.16/5.96 | (298) $false % 23.16/5.96 | % 23.16/5.96 |-The branch is then unsatisfiable % 23.16/5.96 |-Branch two: % 23.16/5.96 | (422) ~ (all_0_53_53 = e3) % 23.16/5.96 | (376) all_0_56_56 = e3 % 23.16/5.96 | % 23.16/5.96 | Equations (376) can reduce 890 to: % 23.16/5.96 | (298) $false % 23.16/5.96 | % 23.16/5.96 |-The branch is then unsatisfiable % 23.16/5.96 |-Branch two: % 23.16/5.96 | (847) ~ (all_0_42_42 = e3) % 23.16/5.96 | (1512) all_0_47_47 = e3 | all_0_59_59 = e3 % 23.16/5.96 | % 23.16/5.96 +-Applying beta-rule and splitting (23), into two cases. % 23.16/5.96 |-Branch one: % 23.16/5.96 | (755) all_0_40_40 = e3 % 23.16/5.96 | % 23.16/5.96 | Combining equations (755,479) yields a new equation: % 23.16/5.96 | (392) e4 = e3 % 23.16/5.96 | % 23.16/5.96 | Equations (392) can reduce 184 to: % 23.16/5.96 | (298) $false % 23.16/5.96 | % 23.16/5.96 |-The branch is then unsatisfiable % 23.16/5.96 |-Branch two: % 23.16/5.96 | (425) ~ (all_0_40_40 = e3) % 23.16/5.96 | (1257) all_0_42_42 = e3 | all_0_43_43 = e3 % 23.16/5.96 | % 23.16/5.96 +-Applying beta-rule and splitting (1512), into two cases. % 23.16/5.96 |-Branch one: % 23.16/5.96 | (591) all_0_47_47 = e3 % 23.16/5.96 | % 23.16/5.96 | Combining equations (591,487) yields a new equation: % 23.16/5.96 | (1084) e3 = e1 % 23.16/5.96 | % 23.16/5.96 | Simplifying 1084 yields: % 23.16/5.96 | (420) e3 = e1 % 23.16/5.96 | % 23.16/5.96 | Equations (420) can reduce 214 to: % 23.16/5.96 | (298) $false % 23.16/5.96 | % 23.16/5.96 |-The branch is then unsatisfiable % 23.16/5.96 |-Branch two: % 23.16/5.96 | (493) ~ (all_0_47_47 = e3) % 23.16/5.96 | (907) all_0_59_59 = e3 % 23.16/5.96 | % 23.16/5.96 | Equations (907) can reduce 118 to: % 23.16/5.96 | (847) ~ (all_0_42_42 = e3) % 23.16/5.96 | % 23.16/5.96 | Equations (907) can reduce 99 to: % 23.16/5.96 | (890) ~ (all_0_56_56 = e3) % 23.16/5.96 | % 23.16/5.96 | Equations (907) can reduce 123 to: % 23.16/5.96 | (472) ~ (e4 = e3) % 23.16/5.96 | % 23.16/5.96 | Simplifying 472 yields: % 23.16/5.96 | (184) ~ (e4 = e3) % 23.16/5.96 | % 23.16/5.96 | Equations (907) can reduce 2156 to: % 23.16/5.96 | (214) ~ (e3 = e1) % 23.16/5.96 | % 23.16/5.96 | From (907) and (114) follows: % 23.16/5.96 | (2846) op(e0, e1) = e3 % 23.16/5.96 | % 23.16/5.96 +-Applying beta-rule and splitting (140), into two cases. % 23.16/5.96 |-Branch one: % 23.16/5.96 | (892) all_0_44_44 = e3 % 23.16/5.96 | % 23.16/5.96 | Equations (892) can reduce 195 to: % 23.16/5.96 | (1327) ~ (all_0_56_56 = e3) % 23.16/5.96 | % 23.16/5.96 | Simplifying 1327 yields: % 23.16/5.96 | (890) ~ (all_0_56_56 = e3) % 23.16/5.97 | % 23.16/5.97 +-Applying beta-rule and splitting (63), into two cases. % 23.16/5.97 |-Branch one: % 23.16/5.97 | (495) all_0_44_44 = e4 % 23.16/5.97 | % 23.16/5.97 | Combining equations (495,892) yields a new equation: % 23.16/5.97 | (391) e4 = e3 % 23.16/5.97 | % 23.16/5.97 | Simplifying 391 yields: % 23.16/5.97 | (392) e4 = e3 % 23.16/5.97 | % 23.16/5.97 | Equations (392) can reduce 184 to: % 23.16/5.97 | (298) $false % 23.16/5.97 | % 23.16/5.97 |-The branch is then unsatisfiable % 23.16/5.97 |-Branch two: % 23.16/5.97 | (610) ~ (all_0_44_44 = e4) % 23.16/5.97 | (615) all_0_49_49 = e4 | all_0_56_56 = e4 % 23.16/5.97 | % 23.16/5.97 +-Applying beta-rule and splitting (615), into two cases. % 23.16/5.97 |-Branch one: % 23.16/5.97 | (506) all_0_49_49 = e4 % 23.16/5.97 | % 23.16/5.97 | Equations (506) can reduce 44 to: % 23.16/5.97 | (2335) ~ (all_0_52_52 = e4) % 23.16/5.97 | % 23.16/5.97 | Simplifying 2335 yields: % 23.16/5.97 | (695) ~ (all_0_52_52 = e4) % 23.16/5.97 | % 23.16/5.97 | Equations (506) can reduce 106 to: % 23.16/5.97 | (2005) ~ (all_0_56_56 = e4) % 23.16/5.97 | % 23.16/5.97 | Simplifying 2005 yields: % 23.16/5.97 | (394) ~ (all_0_56_56 = e4) % 23.16/5.97 | % 23.16/5.97 | Equations (506) can reduce 86 to: % 23.16/5.97 | (46) ~ (e4 = e2) % 23.16/5.97 | % 23.16/5.97 | Equations (506) can reduce 329 to: % 23.16/5.97 | (115) ~ (e4 = e1) % 23.16/5.97 | % 23.16/5.97 | From (506) and (110) follows: % 23.16/5.97 | (767) op(e2, e4) = e4 % 23.16/5.97 | % 23.16/5.97 +-Applying beta-rule and splitting (129), into two cases. % 23.16/5.97 |-Branch one: % 23.16/5.97 | (637) all_0_49_49 = e0 % 23.16/5.97 | % 23.16/5.97 | Combining equations (637,506) yields a new equation: % 23.16/5.97 | (481) e4 = e0 % 23.16/5.97 | % 23.16/5.97 | Equations (481) can reduce 47 to: % 23.16/5.97 | (298) $false % 23.16/5.97 | % 23.16/5.97 |-The branch is then unsatisfiable % 23.16/5.97 |-Branch two: % 23.16/5.97 | (652) ~ (all_0_49_49 = e0) % 23.16/5.97 | (682) all_0_50_50 = e0 | all_0_51_51 = e0 | all_0_52_52 = e0 % 23.16/5.97 | % 23.16/5.97 +-Applying beta-rule and splitting (70), into two cases. % 23.16/5.97 |-Branch one: % 23.16/5.97 | (314) all_0_56_56 = e1 % 23.16/5.97 | % 23.16/5.97 | Equations (314) can reduce 279 to: % 23.16/5.97 | (298) $false % 23.16/5.97 | % 23.16/5.97 |-The branch is then unsatisfiable % 23.16/5.97 |-Branch two: % 23.16/5.97 | (279) ~ (all_0_56_56 = e1) % 23.16/5.97 | (1499) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0 % 23.16/5.97 | % 23.16/5.97 +-Applying beta-rule and splitting (1499), into two cases. % 23.16/5.97 |-Branch one: % 23.16/5.97 | (653) all_0_56_56 = e0 % 23.16/5.97 | % 23.16/5.97 | Equations (653) can reduce 26 to: % 23.16/5.97 | (782) ~ (e2 = e0) % 23.16/5.97 | % 23.16/5.97 | Simplifying 782 yields: % 23.16/5.97 | (139) ~ (e2 = e0) % 23.16/5.97 | % 23.16/5.97 | Equations (653) can reduce 279 to: % 23.16/5.97 | (526) ~ (e1 = e0) % 23.16/5.97 | % 23.16/5.97 | Simplifying 526 yields: % 23.16/5.97 | (231) ~ (e1 = e0) % 23.16/5.97 | % 23.16/5.97 | From (653) and (48) follows: % 23.16/5.97 | (812) op(e0, e4) = e0 % 23.16/5.97 | % 23.16/5.97 +-Applying beta-rule and splitting (101), into two cases. % 23.16/5.97 |-Branch one: % 23.16/5.97 | (466) all_0_42_42 = e0 % 23.16/5.97 | % 23.16/5.97 | Equations (466) can reduce 247 to: % 23.16/5.97 | (485) ~ (e4 = e0) % 23.16/5.97 | % 23.16/5.97 | Simplifying 485 yields: % 23.16/5.97 | (47) ~ (e4 = e0) % 23.16/5.97 | % 23.16/5.97 | Equations (466) can reduce 847 to: % 23.16/5.97 | (620) ~ (e3 = e0) % 23.16/5.97 | % 23.16/5.97 | Simplifying 620 yields: % 23.16/5.97 | (84) ~ (e3 = e0) % 23.16/5.97 | % 23.16/5.97 +-Applying beta-rule and splitting (133), into two cases. % 23.16/5.97 |-Branch one: % 23.16/5.97 | (326) all_0_52_52 = e1 % 23.16/5.97 | % 23.16/5.97 | Equations (326) can reduce 2161 to: % 23.16/5.97 | (298) $false % 23.16/5.97 | % 23.16/5.97 |-The branch is then unsatisfiable % 23.16/5.97 |-Branch two: % 23.16/5.97 | (2161) ~ (all_0_52_52 = e1) % 23.16/5.97 | (2880) all_0_52_52 = e4 | all_0_52_52 = e2 | all_0_52_52 = e0 % 23.16/5.97 | % 23.16/5.97 +-Applying beta-rule and splitting (68), into two cases. % 23.16/5.97 |-Branch one: % 23.16/5.97 | (475) all_0_43_43 = e3 % 23.16/5.97 | % 23.16/5.97 | Equations (475) can reduce 601 to: % 23.16/5.97 | (472) ~ (e4 = e3) % 23.16/5.97 | % 23.16/5.97 | Simplifying 472 yields: % 23.16/5.97 | (184) ~ (e4 = e3) % 23.16/5.97 | % 23.16/5.97 | From (475) and (34) follows: % 23.16/5.97 | (3509) op(e4, e0) = e3 % 23.16/5.97 | % 23.16/5.97 +-Applying beta-rule and splitting (89), into two cases. % 23.16/5.97 |-Branch one: % 23.16/5.97 | (495) all_0_44_44 = e4 % 23.16/5.97 | % 23.16/5.97 | Combining equations (495,892) yields a new equation: % 23.16/5.97 | (391) e4 = e3 % 23.16/5.97 | % 23.16/5.97 | Simplifying 391 yields: % 23.16/5.97 | (392) e4 = e3 % 23.16/5.97 | % 23.16/5.97 | Equations (392) can reduce 184 to: % 23.16/5.97 | (298) $false % 23.16/5.97 | % 23.16/5.97 |-The branch is then unsatisfiable % 23.16/5.97 |-Branch two: % 23.16/5.97 | (610) ~ (all_0_44_44 = e4) % 23.16/5.97 | (611) all_0_45_45 = e4 | all_0_46_46 = e4 | all_0_48_48 = e4 % 23.16/5.97 | % 23.16/5.97 | Equations (892) can reduce 610 to: % 23.16/5.97 | (472) ~ (e4 = e3) % 23.16/5.97 | % 23.16/5.97 | Simplifying 472 yields: % 23.16/5.97 | (184) ~ (e4 = e3) % 23.16/5.97 | % 23.16/5.97 +-Applying beta-rule and splitting (45), into two cases. % 23.16/5.97 |-Branch one: % 23.16/5.97 | (520) all_0_43_43 = e4 % 23.16/5.97 | % 23.16/5.97 | Combining equations (475,520) yields a new equation: % 23.16/5.97 | (392) e4 = e3 % 23.16/5.97 | % 23.16/5.97 | Equations (392) can reduce 184 to: % 23.16/5.97 | (298) $false % 23.16/5.97 | % 23.16/5.97 |-The branch is then unsatisfiable % 23.16/5.97 |-Branch two: % 23.16/5.97 | (601) ~ (all_0_43_43 = e4) % 23.16/5.97 | (602) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_60_60 = e4 % 23.16/5.97 | % 23.16/5.97 +-Applying beta-rule and splitting (2880), into two cases. % 23.16/5.97 |-Branch one: % 23.16/5.97 | (2078) all_0_52_52 = e0 % 23.16/5.97 | % 23.16/5.97 | Equations (2078) can reduce 695 to: % 23.16/5.97 | (485) ~ (e4 = e0) % 23.16/5.97 | % 23.16/5.97 | Simplifying 485 yields: % 23.16/5.97 | (47) ~ (e4 = e0) % 23.16/5.97 | % 23.16/5.97 | Equations (2078) can reduce 2161 to: % 23.16/5.97 | (526) ~ (e1 = e0) % 23.16/5.97 | % 23.16/5.97 | Simplifying 526 yields: % 23.16/5.97 | (231) ~ (e1 = e0) % 23.16/5.97 | % 23.16/5.97 +-Applying beta-rule and splitting (602), into two cases. % 23.16/5.97 |-Branch one: % 23.16/5.97 | (687) all_0_48_48 = e4 % 23.16/5.97 | % 23.16/5.97 | From (687) and (202) follows: % 23.16/5.97 | (2323) op(e3, e0) = e4 % 23.16/5.97 | % 23.16/5.97 +-Applying beta-rule and splitting (55), into two cases. % 23.16/5.97 |-Branch one: % 23.16/5.97 | (529) unit = e1 % 23.16/5.97 | % 23.16/5.97 | From (529) and (74) follows: % 23.16/5.97 | (531) op(e3, e1) = e3 % 23.16/5.97 | % 23.16/5.97 | From (529) and (67) follows: % 23.16/5.97 | (2913) op(e0, e1) = e0 % 23.16/5.97 | % 23.16/5.97 | Instantiating formula (206) with e3, e1, e3, e1 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields: % 23.16/5.97 | (420) e3 = e1 % 23.16/5.97 | % 23.16/5.97 | Instantiating formula (206) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields: % 23.16/5.97 | (534) e3 = e0 % 23.16/5.97 | % 23.16/5.97 | Combining equations (534,420) yields a new equation: % 23.16/5.97 | (297) e1 = e0 % 23.16/5.97 | % 23.16/5.97 | Equations (297) can reduce 231 to: % 23.16/5.97 | (298) $false % 23.16/5.97 | % 23.16/5.97 |-The branch is then unsatisfiable % 23.16/5.97 |-Branch two: % 23.16/5.97 | (540) ~ (unit = e1) % 23.16/5.97 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 23.16/5.97 | % 23.16/5.97 +-Applying beta-rule and splitting (541), into two cases. % 23.16/5.97 |-Branch one: % 23.16/5.97 | (542) unit = e0 % 23.16/5.97 | % 23.16/5.97 | Equations (542) can reduce 540 to: % 23.16/5.97 | (526) ~ (e1 = e0) % 23.16/5.97 | % 23.16/5.97 | Simplifying 526 yields: % 23.16/5.97 | (231) ~ (e1 = e0) % 23.16/5.97 | % 23.16/5.97 | From (542) and (162) follows: % 23.16/5.97 | (1387) op(e0, e4) = e4 % 23.16/5.97 | % 23.16/5.97 | From (542) and (24) follows: % 23.16/5.97 | (981) op(e0, e2) = e2 % 23.16/5.97 | % 23.16/5.97 | From (542) and (100) follows: % 23.16/5.97 | (2926) op(e0, e1) = e1 % 23.16/5.97 | % 23.16/5.97 | From (542) and (74) follows: % 23.16/5.97 | (494) op(e3, e0) = e3 % 23.16/5.97 | % 23.16/5.97 | Instantiating formula (206) with e3, e0, e3, e4 and discharging atoms op(e3, e0) = e4, op(e3, e0) = e3, yields: % 23.16/5.97 | (392) e4 = e3 % 23.16/5.97 | % 23.16/5.97 | Instantiating formula (206) with e0, e4, e4, e0 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e0, yields: % 23.16/5.97 | (481) e4 = e0 % 23.16/5.97 | % 23.16/5.97 | Instantiating formula (206) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 23.16/5.97 | (409) e4 = e2 % 23.16/5.97 | % 23.16/5.97 | Instantiating formula (206) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields: % 23.16/5.97 | (420) e3 = e1 % 23.16/5.97 | % 23.16/5.97 | Combining equations (481,409) yields a new equation: % 23.16/5.97 | (569) e2 = e0 % 23.16/5.97 | % 23.16/5.97 | Combining equations (392,409) yields a new equation: % 23.16/5.97 | (877) e3 = e2 % 23.16/5.97 | % 23.16/5.97 | Simplifying 877 yields: % 23.16/5.97 | (567) e3 = e2 % 23.16/5.97 | % 23.16/5.97 | Combining equations (420,567) yields a new equation: % 23.16/5.97 | (544) e2 = e1 % 23.16/5.97 | % 23.16/5.97 | Combining equations (569,544) yields a new equation: % 23.16/5.97 | (297) e1 = e0 % 23.16/5.97 | % 23.16/5.97 | Equations (297) can reduce 231 to: % 23.16/5.97 | (298) $false % 23.16/5.97 | % 23.16/5.97 |-The branch is then unsatisfiable % 23.16/5.97 |-Branch two: % 23.16/5.97 | (546) ~ (unit = e0) % 23.16/5.97 | (547) unit = e4 | unit = e3 | unit = e2 % 23.16/5.97 | % 23.16/5.97 +-Applying beta-rule and splitting (547), into two cases. % 23.16/5.97 |-Branch one: % 23.16/5.97 | (548) unit = e3 % 23.16/5.97 | % 23.16/5.97 | From (548) and (66) follows: % 23.16/5.97 | (1415) op(e2, e3) = e2 % 23.16/5.97 | % 23.16/5.97 | From (548) and (67) follows: % 23.16/5.97 | (803) op(e0, e3) = e0 % 23.16/5.97 | % 23.16/5.97 | Instantiating formula (206) with e2, e3, e2, e1 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e1, yields: % 23.16/5.97 | (544) e2 = e1 % 23.16/5.97 | % 23.16/5.97 | Instantiating formula (206) with e0, e3, e0, e2 and discharging atoms op(e0, e3) = e2, op(e0, e3) = e0, yields: % 23.16/5.97 | (569) e2 = e0 % 23.16/5.97 | % 23.16/5.97 | Combining equations (544,569) yields a new equation: % 23.16/5.97 | (296) e1 = e0 % 23.16/5.97 | % 23.16/5.97 | Simplifying 296 yields: % 23.16/5.97 | (297) e1 = e0 % 23.16/5.97 | % 23.16/5.97 | Equations (297) can reduce 231 to: % 23.16/5.97 | (298) $false % 23.16/5.97 | % 23.16/5.97 |-The branch is then unsatisfiable % 23.16/5.97 |-Branch two: % 23.16/5.97 | (555) ~ (unit = e3) % 23.16/5.97 | (556) unit = e4 | unit = e2 % 23.16/5.97 | % 23.16/5.97 +-Applying beta-rule and splitting (556), into two cases. % 23.16/5.97 |-Branch one: % 23.16/5.97 | (557) unit = e4 % 23.16/5.97 | % 23.16/5.97 | From (557) and (143) follows: % 23.16/5.97 | (809) op(e4, e3) = e3 % 23.16/5.97 | % 23.16/5.97 | From (557) and (24) follows: % 23.16/5.97 | (558) op(e4, e2) = e2 % 23.16/5.97 | % 23.16/5.97 | From (557) and (60) follows: % 23.16/5.97 | (559) op(e4, e0) = e0 % 23.16/5.97 | % 23.16/5.97 | From (557) and (66) follows: % 23.16/5.97 | (811) op(e2, e4) = e2 % 23.16/5.97 | % 23.16/5.97 | Instantiating formula (206) with e4, e3, e3, e4 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 23.16/5.97 | (392) e4 = e3 % 23.16/5.97 | % 23.16/5.97 | Instantiating formula (206) with e4, e2, e2, e1 and discharging atoms op(e4, e2) = e2, op(e4, e2) = e1, yields: % 23.16/5.97 | (544) e2 = e1 % 23.16/5.97 | % 23.16/5.97 | Instantiating formula (206) with e4, e0, e0, e3 and discharging atoms op(e4, e0) = e3, op(e4, e0) = e0, yields: % 23.16/5.97 | (534) e3 = e0 % 23.16/5.97 | % 23.16/5.97 | Instantiating formula (206) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 23.16/5.97 | (409) e4 = e2 % 23.16/5.97 | % 23.16/5.97 | Combining equations (409,392) yields a new equation: % 23.16/5.97 | (567) e3 = e2 % 23.16/5.97 | % 23.16/5.97 | Combining equations (567,534) yields a new equation: % 23.16/5.97 | (568) e2 = e0 % 23.16/5.97 | % 23.16/5.97 | Simplifying 568 yields: % 23.16/5.97 | (569) e2 = e0 % 23.16/5.97 | % 23.16/5.97 | Combining equations (569,544) yields a new equation: % 23.16/5.97 | (297) e1 = e0 % 23.16/5.97 | % 23.16/5.97 | Equations (297) can reduce 231 to: % 23.16/5.97 | (298) $false % 23.16/5.97 | % 23.16/5.97 |-The branch is then unsatisfiable % 23.16/5.97 |-Branch two: % 23.16/5.97 | (573) ~ (unit = e4) % 23.16/5.97 | (574) unit = e2 % 23.16/5.97 | % 23.16/5.97 | From (574) and (243) follows: % 23.16/5.97 | (576) op(e4, e2) = e4 % 23.16/5.97 | % 23.16/5.97 | From (574) and (67) follows: % 23.16/5.97 | (578) op(e0, e2) = e0 % 23.16/5.97 | % 23.16/5.97 | Instantiating formula (206) with e4, e2, e4, e1 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e1, yields: % 23.16/5.97 | (535) e4 = e1 % 23.16/5.97 | % 23.16/5.97 | Instantiating formula (206) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields: % 23.16/5.97 | (481) e4 = e0 % 23.16/5.97 | % 23.16/5.97 | Combining equations (535,481) yields a new equation: % 23.16/5.97 | (296) e1 = e0 % 23.16/5.97 | % 23.16/5.97 | Simplifying 296 yields: % 23.16/5.97 | (297) e1 = e0 % 23.16/5.97 | % 23.16/5.97 | Equations (297) can reduce 231 to: % 23.16/5.97 | (298) $false % 23.16/5.97 | % 23.16/5.97 |-The branch is then unsatisfiable % 23.16/5.97 |-Branch two: % 23.16/5.97 | (690) ~ (all_0_48_48 = e4) % 23.16/5.97 | (691) all_0_52_52 = e4 | all_0_60_60 = e4 % 23.16/5.97 | % 23.16/5.97 +-Applying beta-rule and splitting (691), into two cases. % 23.16/5.97 |-Branch one: % 23.16/5.97 | (597) all_0_52_52 = e4 % 23.16/5.97 | % 23.16/5.97 | Combining equations (2078,597) yields a new equation: % 23.16/5.97 | (481) e4 = e0 % 23.16/5.97 | % 23.16/5.97 | Equations (481) can reduce 47 to: % 23.16/5.97 | (298) $false % 23.16/5.97 | % 23.16/5.97 |-The branch is then unsatisfiable % 23.16/5.97 |-Branch two: % 23.16/5.97 | (695) ~ (all_0_52_52 = e4) % 23.16/5.97 | (696) all_0_60_60 = e4 % 23.16/5.97 | % 23.16/5.97 | Combining equations (696,2157) yields a new equation: % 23.16/5.97 | (598) e4 = e1 % 23.16/5.97 | % 23.16/5.97 | Simplifying 598 yields: % 23.16/5.97 | (535) e4 = e1 % 23.16/5.97 | % 23.16/5.97 | Equations (535) can reduce 115 to: % 23.16/5.97 | (298) $false % 23.16/5.97 | % 23.16/5.97 |-The branch is then unsatisfiable % 23.16/5.97 |-Branch two: % 23.16/5.97 | (304) ~ (all_0_52_52 = e0) % 23.16/5.97 | (2984) all_0_52_52 = e4 | all_0_52_52 = e2 % 23.16/5.97 | % 23.16/5.97 +-Applying beta-rule and splitting (611), into two cases. % 23.16/5.97 |-Branch one: % 23.16/5.97 | (1221) all_0_45_45 = e4 % 23.16/5.97 | % 23.16/5.97 | Combining equations (295,1221) yields a new equation: % 23.16/5.97 | (481) e4 = e0 % 23.16/5.97 | % 23.16/5.97 | Equations (481) can reduce 47 to: % 23.16/5.97 | (298) $false % 23.16/5.97 | % 23.16/5.97 |-The branch is then unsatisfiable % 23.16/5.97 |-Branch two: % 23.16/5.97 | (1224) ~ (all_0_45_45 = e4) % 23.16/5.97 | (2314) all_0_46_46 = e4 | all_0_48_48 = e4 % 23.16/5.97 | % 23.16/5.97 +-Applying beta-rule and splitting (2314), into two cases. % 23.16/5.97 |-Branch one: % 23.16/5.97 | (933) all_0_46_46 = e4 % 23.16/5.97 | % 23.16/5.97 | Combining equations (358,933) yields a new equation: % 23.16/5.97 | (409) e4 = e2 % 23.16/5.97 | % 23.16/5.97 | Equations (409) can reduce 46 to: % 23.16/5.97 | (298) $false % 23.16/5.97 | % 23.16/5.97 |-The branch is then unsatisfiable % 23.16/5.97 |-Branch two: % 23.16/5.97 | (936) ~ (all_0_46_46 = e4) % 23.16/5.97 | (687) all_0_48_48 = e4 % 23.16/5.97 | % 23.16/5.97 | Equations (687) can reduce 88 to: % 23.16/5.97 | (2335) ~ (all_0_52_52 = e4) % 23.16/5.97 | % 23.16/5.97 | Simplifying 2335 yields: % 23.16/5.97 | (695) ~ (all_0_52_52 = e4) % 23.16/5.97 | % 23.16/5.97 +-Applying beta-rule and splitting (2984), into two cases. % 23.16/5.97 |-Branch one: % 23.16/5.97 | (597) all_0_52_52 = e4 % 23.16/5.97 | % 23.16/5.97 | Equations (597) can reduce 695 to: % 23.16/5.97 | (298) $false % 23.16/5.97 | % 23.16/5.97 |-The branch is then unsatisfiable % 23.16/5.97 |-Branch two: % 23.16/5.97 | (695) ~ (all_0_52_52 = e4) % 23.16/5.97 | (938) all_0_52_52 = e2 % 23.16/5.97 | % 23.16/5.97 | Equations (938) can reduce 941 to: % 23.16/5.97 | (298) $false % 23.16/5.97 | % 23.16/5.97 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (471) ~ (all_0_43_43 = e3) % 23.16/5.98 | (478) all_0_48_48 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 23.16/5.98 | % 23.16/5.98 +-Applying beta-rule and splitting (1257), into two cases. % 23.16/5.98 |-Branch one: % 23.16/5.98 | (469) all_0_42_42 = e3 % 23.16/5.98 | % 23.16/5.98 | Combining equations (469,466) yields a new equation: % 23.16/5.98 | (654) e3 = e0 % 23.16/5.98 | % 23.16/5.98 | Simplifying 654 yields: % 23.16/5.98 | (534) e3 = e0 % 23.16/5.98 | % 23.16/5.98 | Equations (534) can reduce 84 to: % 23.16/5.98 | (298) $false % 23.16/5.98 | % 23.16/5.98 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (847) ~ (all_0_42_42 = e3) % 23.16/5.98 | (475) all_0_43_43 = e3 % 23.16/5.98 | % 23.16/5.98 | Equations (475) can reduce 471 to: % 23.16/5.98 | (298) $false % 23.16/5.98 | % 23.16/5.98 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (463) ~ (all_0_42_42 = e0) % 23.16/5.98 | (841) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_59_59 = e0 % 23.16/5.98 | % 23.16/5.98 +-Applying beta-rule and splitting (133), into two cases. % 23.16/5.98 |-Branch one: % 23.16/5.98 | (326) all_0_52_52 = e1 % 23.16/5.98 | % 23.16/5.98 | Equations (326) can reduce 2161 to: % 23.16/5.98 | (298) $false % 23.16/5.98 | % 23.16/5.98 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (2161) ~ (all_0_52_52 = e1) % 23.16/5.98 | (2880) all_0_52_52 = e4 | all_0_52_52 = e2 | all_0_52_52 = e0 % 23.16/5.98 | % 23.16/5.98 +-Applying beta-rule and splitting (682), into two cases. % 23.16/5.98 |-Branch one: % 23.16/5.98 | (781) all_0_50_50 = e0 % 23.16/5.98 | % 23.16/5.98 | Combining equations (771,781) yields a new equation: % 23.16/5.98 | (296) e1 = e0 % 23.16/5.98 | % 23.16/5.98 | Simplifying 296 yields: % 23.16/5.98 | (297) e1 = e0 % 23.16/5.98 | % 23.16/5.98 | Equations (297) can reduce 231 to: % 23.16/5.98 | (298) $false % 23.16/5.98 | % 23.16/5.98 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (661) ~ (all_0_50_50 = e0) % 23.16/5.98 | (2072) all_0_51_51 = e0 | all_0_52_52 = e0 % 23.16/5.98 | % 23.16/5.98 +-Applying beta-rule and splitting (2880), into two cases. % 23.16/5.98 |-Branch one: % 23.16/5.98 | (2078) all_0_52_52 = e0 % 23.16/5.98 | % 23.16/5.98 | Equations (2078) can reduce 194 to: % 23.16/5.98 | (301) ~ (all_0_43_43 = e0) % 23.16/5.98 | % 23.16/5.98 +-Applying beta-rule and splitting (746), into two cases. % 23.16/5.98 |-Branch one: % 23.16/5.98 | (466) all_0_42_42 = e0 % 23.16/5.98 | % 23.16/5.98 | Equations (466) can reduce 463 to: % 23.16/5.98 | (298) $false % 23.16/5.98 | % 23.16/5.98 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (463) ~ (all_0_42_42 = e0) % 23.16/5.98 | (1253) all_0_43_43 = e0 % 23.16/5.98 | % 23.16/5.98 | Equations (1253) can reduce 301 to: % 23.16/5.98 | (298) $false % 23.16/5.98 | % 23.16/5.98 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (304) ~ (all_0_52_52 = e0) % 23.16/5.98 | (2984) all_0_52_52 = e4 | all_0_52_52 = e2 % 23.16/5.98 | % 23.16/5.98 +-Applying beta-rule and splitting (2072), into two cases. % 23.16/5.98 |-Branch one: % 23.16/5.98 | (1730) all_0_51_51 = e0 % 23.16/5.98 | % 23.16/5.98 | Combining equations (396,1730) yields a new equation: % 23.16/5.98 | (568) e2 = e0 % 23.16/5.98 | % 23.16/5.98 | Simplifying 568 yields: % 23.16/5.98 | (569) e2 = e0 % 23.16/5.98 | % 23.16/5.98 | Equations (569) can reduce 139 to: % 23.16/5.98 | (298) $false % 23.16/5.98 | % 23.16/5.98 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (1871) ~ (all_0_51_51 = e0) % 23.16/5.98 | (2078) all_0_52_52 = e0 % 23.16/5.98 | % 23.16/5.98 | Equations (2078) can reduce 304 to: % 23.16/5.98 | (298) $false % 23.16/5.98 | % 23.16/5.98 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (306) ~ (all_0_56_56 = e0) % 23.16/5.98 | (1503) all_0_56_56 = e4 | all_0_56_56 = e3 % 23.16/5.98 | % 23.16/5.98 +-Applying beta-rule and splitting (1503), into two cases. % 23.16/5.98 |-Branch one: % 23.16/5.98 | (376) all_0_56_56 = e3 % 23.16/5.98 | % 23.16/5.98 | Equations (376) can reduce 890 to: % 23.16/5.98 | (298) $false % 23.16/5.98 | % 23.16/5.98 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (890) ~ (all_0_56_56 = e3) % 23.16/5.98 | (390) all_0_56_56 = e4 % 23.16/5.98 | % 23.16/5.98 | Equations (390) can reduce 394 to: % 23.16/5.98 | (298) $false % 23.16/5.98 | % 23.16/5.98 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (497) ~ (all_0_49_49 = e4) % 23.16/5.98 | (390) all_0_56_56 = e4 % 23.16/5.98 | % 23.16/5.98 | Equations (390) can reduce 394 to: % 23.16/5.98 | (298) $false % 23.16/5.98 | % 23.16/5.98 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (914) ~ (all_0_44_44 = e3) % 23.16/5.98 | (915) all_0_53_53 = e3 | all_0_56_56 = e3 % 23.16/5.98 | % 23.16/5.98 +-Applying beta-rule and splitting (915), into two cases. % 23.16/5.98 |-Branch one: % 23.16/5.98 | (419) all_0_53_53 = e3 % 23.16/5.98 | % 23.16/5.98 | Combining equations (272,419) yields a new equation: % 23.16/5.98 | (420) e3 = e1 % 23.16/5.98 | % 23.16/5.98 | Equations (420) can reduce 214 to: % 23.16/5.98 | (298) $false % 23.16/5.98 | % 23.16/5.98 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (422) ~ (all_0_53_53 = e3) % 23.16/5.98 | (376) all_0_56_56 = e3 % 23.16/5.98 | % 23.16/5.98 | Equations (376) can reduce 890 to: % 23.16/5.98 | (298) $false % 23.16/5.98 | % 23.16/5.98 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (973) ~ (all_0_46_46 = e2) % 23.16/5.98 | (955) all_0_58_58 = e2 % 23.16/5.98 | % 23.16/5.98 | Equations (955) can reduce 958 to: % 23.16/5.98 | (298) $false % 23.16/5.98 | % 23.16/5.98 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (885) ~ (all_0_51_51 = e2) % 23.16/5.98 | (938) all_0_52_52 = e2 % 23.16/5.98 | % 23.16/5.98 | Equations (938) can reduce 941 to: % 23.16/5.98 | (298) $false % 23.16/5.98 | % 23.16/5.98 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (875) ~ (all_0_54_54 = e3) % 23.16/5.98 | (382) all_0_54_54 = e2 % 23.16/5.98 | % 23.16/5.98 | Equations (382) can reduce 373 to: % 23.16/5.98 | (298) $false % 23.16/5.98 | % 23.16/5.98 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (330) ~ (all_0_50_50 = e1) % 23.16/5.98 | (3685) all_0_54_54 = e1 | all_0_57_57 = e1 % 23.16/5.98 | % 23.16/5.98 +-Applying beta-rule and splitting (3685), into two cases. % 23.16/5.98 |-Branch one: % 23.16/5.98 | (1669) all_0_54_54 = e1 % 23.16/5.98 | % 23.16/5.98 | Equations (1669) can reduce 275 to: % 23.16/5.98 | (298) $false % 23.16/5.98 | % 23.16/5.98 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (275) ~ (all_0_54_54 = e1) % 23.16/5.98 | (322) all_0_57_57 = e1 % 23.16/5.98 | % 23.16/5.98 | Equations (322) can reduce 294 to: % 23.16/5.98 | (298) $false % 23.16/5.98 | % 23.16/5.98 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (343) ~ (all_0_47_47 = e1) % 23.16/5.98 | (318) all_0_48_48 = e1 % 23.16/5.98 | % 23.16/5.98 | Equations (318) can reduce 290 to: % 23.16/5.98 | (298) $false % 23.16/5.98 | % 23.16/5.98 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (299) ~ (all_0_45_45 = e0) % 23.16/5.98 | (300) all_0_60_60 = e0 % 23.16/5.98 | % 23.16/5.98 | Combining equations (2157,300) yields a new equation: % 23.16/5.98 | (296) e1 = e0 % 23.16/5.98 | % 23.16/5.98 | Simplifying 296 yields: % 23.16/5.98 | (297) e1 = e0 % 23.16/5.98 | % 23.16/5.98 | Equations (297) can reduce 231 to: % 23.16/5.98 | (298) $false % 23.16/5.98 | % 23.16/5.98 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (3699) ~ (all_0_53_53 = e1) % 23.16/5.98 | (419) all_0_53_53 = e3 % 23.16/5.98 | % 23.16/5.98 | Equations (419) can reduce 78 to: % 23.16/5.98 | (914) ~ (all_0_44_44 = e3) % 23.16/5.98 | % 23.16/5.98 | Equations (419) can reduce 182 to: % 23.16/5.98 | (111) ~ (all_0_49_49 = e3) % 23.16/5.98 | % 23.16/5.98 | Equations (419) can reduce 56 to: % 23.16/5.98 | (3703) ~ (all_0_54_54 = e3) % 23.16/5.98 | % 23.16/5.98 | Simplifying 3703 yields: % 23.16/5.98 | (875) ~ (all_0_54_54 = e3) % 23.16/5.98 | % 23.16/5.98 | Equations (419) can reduce 175 to: % 23.16/5.98 | (1327) ~ (all_0_56_56 = e3) % 23.16/5.98 | % 23.16/5.98 | Simplifying 1327 yields: % 23.16/5.98 | (890) ~ (all_0_56_56 = e3) % 23.16/5.98 | % 23.16/5.98 | Equations (419) can reduce 3699 to: % 23.16/5.98 | (214) ~ (e3 = e1) % 23.16/5.98 | % 23.16/5.98 | Equations (419) can reduce 122 to: % 23.16/5.98 | (84) ~ (e3 = e0) % 23.16/5.98 | % 23.16/5.98 | From (419) and (180) follows: % 23.16/5.98 | (3709) op(e3, e4) = all_0_26_26 % 23.16/5.98 | % 23.16/5.98 | From (419) and (197) follows: % 23.16/5.98 | (3710) op(e3, e1) = all_0_25_25 % 23.16/5.98 | % 23.16/5.98 | From (419) and (209) follows: % 23.16/5.98 | (3711) op(e1, e4) = e3 % 23.16/5.98 | % 23.16/5.98 | Instantiating formula (206) with e3, e4, all_0_26_26, all_0_44_44 and discharging atoms op(e3, e4) = all_0_26_26, op(e3, e4) = all_0_44_44, yields: % 23.16/5.98 | (3712) all_0_26_26 = all_0_44_44 % 23.16/5.98 | % 23.16/5.98 | Instantiating formula (206) with e3, e1, all_0_25_25, all_0_47_47 and discharging atoms op(e3, e1) = all_0_25_25, op(e3, e1) = all_0_47_47, yields: % 23.16/5.98 | (3713) all_0_25_25 = all_0_47_47 % 23.16/5.98 | % 23.16/5.98 | From (3712) and (3709) follows: % 23.16/5.98 | (124) op(e3, e4) = all_0_44_44 % 23.16/5.98 | % 23.16/5.98 | From (3713) and (3710) follows: % 23.16/5.98 | (158) op(e3, e1) = all_0_47_47 % 23.16/5.98 | % 23.16/5.98 +-Applying beta-rule and splitting (69), into two cases. % 23.16/5.98 |-Branch one: % 23.16/5.98 | (284) all_0_45_45 = e1 % 23.16/5.98 | % 23.16/5.98 | Equations (284) can reduce 219 to: % 23.16/5.98 | (254) ~ (all_0_40_40 = e1) % 23.16/5.98 | % 23.16/5.98 | Equations (284) can reduce 40 to: % 23.16/5.98 | (273) ~ (all_0_44_44 = e1) % 23.16/5.98 | % 23.16/5.98 | Equations (284) can reduce 39 to: % 23.16/5.98 | (259) ~ (all_0_46_46 = e1) % 23.16/5.98 | % 23.16/5.98 | Simplifying 259 yields: % 23.16/5.98 | (260) ~ (all_0_46_46 = e1) % 23.16/5.98 | % 23.16/5.98 | Equations (284) can reduce 17 to: % 23.16/5.98 | (3721) ~ (all_0_50_50 = e1) % 23.16/5.98 | % 23.16/5.98 | Simplifying 3721 yields: % 23.16/5.98 | (330) ~ (all_0_50_50 = e1) % 23.16/5.98 | % 23.16/5.98 | Equations (284) can reduce 220 to: % 23.16/5.98 | (274) ~ (all_0_54_54 = e1) % 23.16/5.98 | % 23.16/5.98 | Simplifying 274 yields: % 23.16/5.98 | (275) ~ (all_0_54_54 = e1) % 23.16/5.98 | % 23.16/5.98 | Equations (284) can reduce 94 to: % 23.16/5.98 | (293) ~ (all_0_57_57 = e1) % 23.16/5.98 | % 23.16/5.98 | Simplifying 293 yields: % 23.16/5.98 | (294) ~ (all_0_57_57 = e1) % 23.16/5.98 | % 23.16/5.98 | From (284) and (97) follows: % 23.16/5.98 | (3727) op(e3, e3) = e1 % 23.16/5.98 | % 23.16/5.98 +-Applying beta-rule and splitting (79), into two cases. % 23.16/5.98 |-Branch one: % 23.16/5.98 | (295) all_0_45_45 = e0 % 23.16/5.98 | % 23.16/5.98 | Combining equations (284,295) yields a new equation: % 23.16/5.98 | (296) e1 = e0 % 23.16/5.98 | % 23.16/5.98 | Simplifying 296 yields: % 23.16/5.98 | (297) e1 = e0 % 23.16/5.98 | % 23.16/5.98 | Equations (297) can reduce 231 to: % 23.16/5.98 | (298) $false % 23.16/5.98 | % 23.16/5.98 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (299) ~ (all_0_45_45 = e0) % 23.16/5.98 | (300) all_0_60_60 = e0 % 23.16/5.98 | % 23.16/5.98 | Equations (300) can reduce 77 to: % 23.16/5.98 | (301) ~ (all_0_43_43 = e0) % 23.16/5.98 | % 23.16/5.98 | Equations (300) can reduce 249 to: % 23.16/5.98 | (303) ~ (all_0_48_48 = e0) % 23.16/5.98 | % 23.16/5.98 | Equations (300) can reduce 156 to: % 23.16/5.98 | (304) ~ (all_0_52_52 = e0) % 23.16/5.98 | % 23.16/5.98 | Equations (300) can reduce 200 to: % 23.16/5.98 | (306) ~ (all_0_56_56 = e0) % 23.16/5.98 | % 23.16/5.98 | Equations (300) can reduce 62 to: % 23.16/5.98 | (307) ~ (all_0_57_57 = e0) % 23.16/5.98 | % 23.16/5.98 | Equations (300) can reduce 5 to: % 23.16/5.98 | (309) ~ (all_0_59_59 = e0) % 23.16/5.98 | % 23.16/5.98 +-Applying beta-rule and splitting (137), into two cases. % 23.16/5.98 |-Branch one: % 23.16/5.98 | (1669) all_0_54_54 = e1 % 23.16/5.98 | % 23.16/5.98 | Equations (1669) can reduce 275 to: % 23.16/5.98 | (298) $false % 23.16/5.98 | % 23.16/5.98 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (275) ~ (all_0_54_54 = e1) % 23.16/5.98 | (1672) all_0_54_54 = e3 | all_0_54_54 = e2 % 23.16/5.98 | % 23.16/5.98 +-Applying beta-rule and splitting (87), into two cases. % 23.16/5.98 |-Branch one: % 23.16/5.98 | (272) all_0_53_53 = e1 % 23.16/5.98 | % 23.16/5.98 | Combining equations (419,272) yields a new equation: % 23.16/5.98 | (1084) e3 = e1 % 23.16/5.98 | % 23.16/5.98 | Simplifying 1084 yields: % 23.16/5.98 | (420) e3 = e1 % 23.16/5.98 | % 23.16/5.98 | Equations (420) can reduce 214 to: % 23.16/5.98 | (298) $false % 23.16/5.98 | % 23.16/5.98 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (3699) ~ (all_0_53_53 = e1) % 23.16/5.98 | (3749) all_0_54_54 = e1 | all_0_55_55 = e1 % 23.16/5.98 | % 23.16/5.98 +-Applying beta-rule and splitting (3749), into two cases. % 23.16/5.98 |-Branch one: % 23.16/5.98 | (1669) all_0_54_54 = e1 % 23.16/5.98 | % 23.16/5.98 | Equations (1669) can reduce 275 to: % 23.16/5.98 | (298) $false % 23.16/5.98 | % 23.16/5.98 |-The branch is then unsatisfiable % 23.16/5.98 |-Branch two: % 23.16/5.98 | (275) ~ (all_0_54_54 = e1) % 23.16/5.98 | (1029) all_0_55_55 = e1 % 23.16/5.98 | % 23.16/5.98 | Equations (1029) can reduce 112 to: % 23.16/5.98 | (258) ~ (all_0_43_43 = e1) % 23.16/5.98 | % 23.16/5.98 | Equations (1029) can reduce 176 to: % 23.16/5.98 | (290) ~ (all_0_48_48 = e1) % 23.16/5.98 | % 23.16/5.98 | Equations (1029) can reduce 42 to: % 23.16/5.98 | (2161) ~ (all_0_52_52 = e1) % 23.16/5.98 | % 23.16/5.98 | From (1029) and (222) follows: % 23.16/5.99 | (3757) op(e1, e1) = all_0_29_29 % 23.16/5.99 | % 23.16/5.99 +-Applying beta-rule and splitting (1672), into two cases. % 23.16/5.99 |-Branch one: % 23.16/5.99 | (424) all_0_54_54 = e3 % 23.16/5.99 | % 23.16/5.99 | Equations (424) can reduce 875 to: % 23.16/5.99 | (298) $false % 23.16/5.99 | % 23.16/5.99 |-The branch is then unsatisfiable % 23.16/5.99 |-Branch two: % 23.16/5.99 | (875) ~ (all_0_54_54 = e3) % 23.16/5.99 | (382) all_0_54_54 = e2 % 23.16/5.99 | % 23.16/5.99 | Equations (382) can reduce 35 to: % 23.16/5.99 | (246) ~ (all_0_40_40 = e2) % 23.16/5.99 | % 23.16/5.99 | Equations (382) can reduce 196 to: % 23.16/5.99 | (398) ~ (all_0_50_50 = e2) % 23.16/5.99 | % 23.16/5.99 | From (382) and (36) follows: % 23.16/5.99 | (1018) op(e2, e3) = all_0_28_28 % 23.16/5.99 | % 23.16/5.99 | From (382) and (38) follows: % 23.16/5.99 | (1019) op(e2, e1) = all_0_27_27 % 23.16/5.99 | % 23.16/5.99 | From (382) and (154) follows: % 23.16/5.99 | (1020) op(e1, e3) = e2 % 23.16/5.99 | % 23.16/5.99 | Instantiating formula (206) with e2, e3, all_0_28_28, all_0_50_50 and discharging atoms op(e2, e3) = all_0_28_28, op(e2, e3) = all_0_50_50, yields: % 23.16/5.99 | (1056) all_0_28_28 = all_0_50_50 % 23.16/5.99 | % 23.16/5.99 | Instantiating formula (206) with e2, e1, all_0_27_27, all_0_51_51 and discharging atoms op(e2, e1) = all_0_27_27, op(e2, e1) = all_0_51_51, yields: % 23.16/5.99 | (3768) all_0_27_27 = all_0_51_51 % 23.16/5.99 | % 23.16/5.99 | Instantiating formula (206) with e1, e1, all_0_29_29, e4 and discharging atoms op(e1, e1) = all_0_29_29, op(e1, e1) = e4, yields: % 23.16/5.99 | (3769) all_0_29_29 = e4 % 23.16/5.99 | % 23.16/5.99 | From (1056) and (1018) follows: % 23.16/5.99 | (207) op(e2, e3) = all_0_50_50 % 23.16/5.99 | % 23.16/5.99 | From (3768) and (1019) follows: % 23.16/5.99 | (149) op(e2, e1) = all_0_51_51 % 23.16/5.99 | % 23.16/5.99 | From (3769) and (3757) follows: % 23.16/5.99 | (227) op(e1, e1) = e4 % 23.16/5.99 | % 23.16/5.99 +-Applying beta-rule and splitting (57), into two cases. % 23.16/5.99 |-Branch one: % 23.16/5.99 | (358) all_0_46_46 = e2 % 23.16/5.99 | % 23.16/5.99 | Equations (358) can reduce 179 to: % 23.16/5.99 | (360) ~ (all_0_47_47 = e2) % 23.16/5.99 | % 23.16/5.99 | Simplifying 360 yields: % 23.16/5.99 | (361) ~ (all_0_47_47 = e2) % 23.16/5.99 | % 23.16/5.99 | Equations (358) can reduce 174 to: % 23.16/5.99 | (362) ~ (all_0_48_48 = e2) % 23.16/5.99 | % 23.16/5.99 | Simplifying 362 yields: % 23.16/5.99 | (363) ~ (all_0_48_48 = e2) % 23.16/5.99 | % 23.16/5.99 | Equations (358) can reduce 236 to: % 23.16/5.99 | (2286) ~ (all_0_58_58 = e2) % 23.16/5.99 | % 23.16/5.99 | Simplifying 2286 yields: % 23.16/5.99 | (958) ~ (all_0_58_58 = e2) % 23.16/5.99 | % 23.16/5.99 | Equations (358) can reduce 260 to: % 23.16/5.99 | (134) ~ (e2 = e1) % 23.16/5.99 | % 23.16/5.99 | Equations (358) can reduce 151 to: % 23.16/5.99 | (139) ~ (e2 = e0) % 23.16/5.99 | % 23.16/5.99 | From (358) and (240) follows: % 23.16/5.99 | (366) op(e2, e3) = all_0_11_11 % 23.16/5.99 | % 23.16/5.99 | From (358) and (144) follows: % 23.16/5.99 | (367) op(e2, e2) = all_0_12_12 % 23.16/5.99 | % 23.16/5.99 +-Applying beta-rule and splitting (244), into two cases. % 23.16/5.99 |-Branch one: % 23.16/5.99 | (743) all_0_48_48 = e2 % 23.16/5.99 | % 23.16/5.99 | Equations (743) can reduce 363 to: % 23.16/5.99 | (298) $false % 23.16/5.99 | % 23.16/5.99 |-The branch is then unsatisfiable % 23.16/5.99 |-Branch two: % 23.16/5.99 | (363) ~ (all_0_48_48 = e2) % 23.16/5.99 | (927) all_0_52_52 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 23.16/5.99 | % 23.16/5.99 +-Applying beta-rule and splitting (927), into two cases. % 23.16/5.99 |-Branch one: % 23.16/5.99 | (938) all_0_52_52 = e2 % 23.16/5.99 | % 23.16/5.99 | Equations (938) can reduce 44 to: % 23.16/5.99 | (86) ~ (all_0_49_49 = e2) % 23.16/5.99 | % 23.16/5.99 | Equations (938) can reduce 234 to: % 23.16/5.99 | (398) ~ (all_0_50_50 = e2) % 23.16/5.99 | % 23.16/5.99 | Equations (938) can reduce 22 to: % 23.16/5.99 | (885) ~ (all_0_51_51 = e2) % 23.16/5.99 | % 23.16/5.99 | Equations (938) can reduce 95 to: % 23.16/5.99 | (401) ~ (e3 = e2) % 23.16/5.99 | % 23.16/5.99 | Simplifying 401 yields: % 23.16/5.99 | (213) ~ (e3 = e2) % 23.16/5.99 | % 23.16/5.99 | From (938) and (49) follows: % 23.16/5.99 | (3794) op(e2, e2) = all_0_23_23 % 23.16/5.99 | % 23.16/5.99 +-Applying beta-rule and splitting (51), into two cases. % 23.16/5.99 |-Branch one: % 23.16/5.99 | (337) all_0_58_58 = e1 % 23.16/5.99 | % 23.16/5.99 | Equations (337) can reduce 262 to: % 23.16/5.99 | (298) $false % 23.16/5.99 | % 23.16/5.99 |-The branch is then unsatisfiable % 23.16/5.99 |-Branch two: % 23.16/5.99 | (262) ~ (all_0_58_58 = e1) % 23.16/5.99 | (3139) all_0_58_58 = e4 | all_0_58_58 = e2 % 23.16/5.99 | % 23.16/5.99 +-Applying beta-rule and splitting (3139), into two cases. % 23.16/5.99 |-Branch one: % 23.16/5.99 | (413) all_0_58_58 = e4 % 23.16/5.99 | % 23.16/5.99 | Equations (413) can reduce 208 to: % 23.16/5.99 | (411) ~ (all_0_57_57 = e4) % 23.16/5.99 | % 23.16/5.99 | Equations (413) can reduce 262 to: % 23.16/5.99 | (115) ~ (e4 = e1) % 23.16/5.99 | % 23.16/5.99 | From (413) and (191) follows: % 23.16/5.99 | (416) op(e4, e2) = all_0_36_36 % 23.16/5.99 | % 23.16/5.99 | From (413) and (185) follows: % 23.16/5.99 | (418) op(e0, e2) = e4 % 23.16/5.99 | % 23.16/5.99 +-Applying beta-rule and splitting (32), into two cases. % 23.16/5.99 |-Branch one: % 23.16/5.99 | (368) all_0_47_47 = e2 % 23.16/5.99 | % 23.16/5.99 | Equations (368) can reduce 361 to: % 23.16/5.99 | (298) $false % 23.16/5.99 | % 23.16/5.99 |-The branch is then unsatisfiable % 23.16/5.99 |-Branch two: % 23.16/5.99 | (361) ~ (all_0_47_47 = e2) % 23.16/5.99 | (371) all_0_51_51 = e2 | all_0_59_59 = e2 % 23.16/5.99 | % 23.16/5.99 +-Applying beta-rule and splitting (371), into two cases. % 23.16/5.99 |-Branch one: % 23.16/5.99 | (396) all_0_51_51 = e2 % 23.16/5.99 | % 23.16/5.99 | Equations (396) can reduce 885 to: % 23.16/5.99 | (298) $false % 23.16/5.99 | % 23.16/5.99 |-The branch is then unsatisfiable % 23.16/5.99 |-Branch two: % 23.16/5.99 | (885) ~ (all_0_51_51 = e2) % 23.16/5.99 | (886) all_0_59_59 = e2 % 23.16/5.99 | % 23.16/5.99 | Equations (886) can reduce 73 to: % 23.16/5.99 | (885) ~ (all_0_51_51 = e2) % 23.16/5.99 | % 23.16/5.99 | Equations (886) can reduce 99 to: % 23.16/5.99 | (26) ~ (all_0_56_56 = e2) % 23.16/5.99 | % 23.16/5.99 | Equations (886) can reduce 198 to: % 23.16/5.99 | (922) ~ (all_0_57_57 = e2) % 23.16/5.99 | % 23.16/5.99 | From (886) and (121) follows: % 23.16/5.99 | (3815) op(e2, e1) = all_0_38_38 % 23.16/5.99 | % 23.16/5.99 +-Applying beta-rule and splitting (93), into two cases. % 23.16/5.99 |-Branch one: % 23.16/5.99 | (314) all_0_56_56 = e1 % 23.16/5.99 | % 23.16/5.99 | Equations (314) can reduce 195 to: % 23.16/5.99 | (273) ~ (all_0_44_44 = e1) % 23.16/5.99 | % 23.16/5.99 | Equations (314) can reduce 106 to: % 23.16/5.99 | (329) ~ (all_0_49_49 = e1) % 23.16/5.99 | % 23.16/5.99 | Equations (314) can reduce 890 to: % 23.16/5.99 | (333) ~ (e3 = e1) % 23.16/5.99 | % 23.16/5.99 | Simplifying 333 yields: % 23.16/5.99 | (214) ~ (e3 = e1) % 23.16/5.99 | % 23.16/5.99 | Equations (314) can reduce 26 to: % 23.16/5.99 | (263) ~ (e2 = e1) % 23.16/5.99 | % 23.16/5.99 | Simplifying 263 yields: % 23.16/5.99 | (134) ~ (e2 = e1) % 23.16/5.99 | % 23.16/5.99 | Equations (314) can reduce 306 to: % 23.16/5.99 | (231) ~ (e1 = e0) % 23.16/5.99 | % 23.16/5.99 | From (314) and (229) follows: % 23.16/5.99 | (3824) op(e1, e4) = all_0_32_32 % 23.16/5.99 | % 23.16/5.99 | From (314) and (48) follows: % 23.16/5.99 | (3825) op(e0, e4) = e1 % 23.16/5.99 | % 23.16/5.99 +-Applying beta-rule and splitting (173), into two cases. % 23.16/5.99 |-Branch one: % 23.16/5.99 | (457) all_0_49_49 = e1 % 23.16/5.99 | % 23.16/5.99 | Equations (457) can reduce 329 to: % 23.16/5.99 | (298) $false % 23.16/5.99 | % 23.16/5.99 |-The branch is then unsatisfiable % 23.16/5.99 |-Branch two: % 23.16/5.99 | (329) ~ (all_0_49_49 = e1) % 23.16/5.99 | (3829) all_0_50_50 = e1 | all_0_51_51 = e1 | all_0_52_52 = e1 % 23.16/5.99 | % 23.16/5.99 +-Applying beta-rule and splitting (96), into two cases. % 23.16/5.99 |-Branch one: % 23.16/5.99 | (376) all_0_56_56 = e3 % 23.16/5.99 | % 23.16/5.99 | Combining equations (376,314) yields a new equation: % 23.16/5.99 | (1084) e3 = e1 % 23.16/5.99 | % 23.16/5.99 | Simplifying 1084 yields: % 23.16/5.99 | (420) e3 = e1 % 23.16/5.99 | % 23.16/5.99 | Equations (420) can reduce 214 to: % 23.16/5.99 | (298) $false % 23.16/5.99 | % 23.16/5.99 |-The branch is then unsatisfiable % 23.16/5.99 |-Branch two: % 23.16/5.99 | (890) ~ (all_0_56_56 = e3) % 23.16/5.99 | (891) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 23.16/5.99 | % 23.16/5.99 +-Applying beta-rule and splitting (891), into two cases. % 23.16/5.99 |-Branch one: % 23.16/5.99 | (902) all_0_57_57 = e3 % 23.16/5.99 | % 23.16/5.99 | Equations (902) can reduce 64 to: % 23.16/5.99 | (425) ~ (all_0_40_40 = e3) % 23.16/5.99 | % 23.16/5.99 +-Applying beta-rule and splitting (3829), into two cases. % 23.16/5.99 |-Branch one: % 23.16/5.99 | (771) all_0_50_50 = e1 % 23.16/5.99 | % 23.16/5.99 | Equations (771) can reduce 330 to: % 23.16/5.99 | (298) $false % 23.16/5.99 | % 23.16/5.99 |-The branch is then unsatisfiable % 23.16/5.99 |-Branch two: % 23.16/5.99 | (330) ~ (all_0_50_50 = e1) % 23.16/5.99 | (3841) all_0_51_51 = e1 | all_0_52_52 = e1 % 23.16/5.99 | % 23.16/5.99 +-Applying beta-rule and splitting (3841), into two cases. % 23.16/5.99 |-Branch one: % 23.16/5.99 | (1704) all_0_51_51 = e1 % 23.16/5.99 | % 23.16/5.99 | Equations (1704) can reduce 153 to: % 23.16/5.99 | (256) ~ (all_0_42_42 = e1) % 23.16/5.99 | % 23.16/5.99 | Equations (1704) can reduce 171 to: % 23.16/5.99 | (343) ~ (all_0_47_47 = e1) % 23.16/5.99 | % 23.16/5.99 | Equations (1704) can reduce 82 to: % 23.16/5.99 | (329) ~ (all_0_49_49 = e1) % 23.16/5.99 | % 23.16/5.99 | Equations (1704) can reduce 157 to: % 23.16/5.99 | (330) ~ (all_0_50_50 = e1) % 23.16/5.99 | % 23.16/5.99 | Equations (1704) can reduce 37 to: % 23.16/5.99 | (347) ~ (e4 = e1) % 23.16/5.99 | % 23.16/5.99 | Simplifying 347 yields: % 23.16/5.99 | (115) ~ (e4 = e1) % 23.16/5.99 | % 23.16/5.99 | Equations (1704) can reduce 885 to: % 23.16/5.99 | (263) ~ (e2 = e1) % 23.16/5.99 | % 23.16/5.99 | Simplifying 263 yields: % 23.16/5.99 | (134) ~ (e2 = e1) % 23.16/5.99 | % 23.16/5.99 | From (1704) and (33) follows: % 23.16/5.99 | (3851) op(e1, e1) = all_0_22_22 % 23.16/5.99 | % 23.16/5.99 | From (1704) and (149) follows: % 23.16/5.99 | (825) op(e2, e1) = e1 % 23.16/5.99 | % 23.16/5.99 | Instantiating formula (206) with e4, e2, all_0_36_36, e1 and discharging atoms op(e4, e2) = all_0_36_36, op(e4, e2) = e1, yields: % 23.16/5.99 | (430) all_0_36_36 = e1 % 23.16/5.99 | % 23.16/5.99 | Instantiating formula (206) with e2, e3, all_0_11_11, all_0_50_50 and discharging atoms op(e2, e3) = all_0_11_11, op(e2, e3) = all_0_50_50, yields: % 23.16/5.99 | (435) all_0_11_11 = all_0_50_50 % 23.16/5.99 | % 23.16/5.99 | Instantiating formula (206) with e2, e2, all_0_12_12, e3 and discharging atoms op(e2, e2) = all_0_12_12, op(e2, e2) = e3, yields: % 23.16/5.99 | (437) all_0_12_12 = e3 % 23.16/5.99 | % 23.16/5.99 | Instantiating formula (206) with e2, e2, all_0_23_23, all_0_12_12 and discharging atoms op(e2, e2) = all_0_12_12, op(e2, e2) = all_0_23_23, yields: % 23.16/5.99 | (3856) all_0_12_12 = all_0_23_23 % 23.16/5.99 | % 23.16/5.99 | Instantiating formula (206) with e2, e1, e1, all_0_38_38 and discharging atoms op(e2, e1) = all_0_38_38, op(e2, e1) = e1, yields: % 23.16/5.99 | (3857) all_0_38_38 = e1 % 23.16/5.99 | % 23.16/5.99 | Instantiating formula (206) with e1, e4, all_0_32_32, e3 and discharging atoms op(e1, e4) = all_0_32_32, op(e1, e4) = e3, yields: % 23.16/5.99 | (3858) all_0_32_32 = e3 % 23.16/5.99 | % 23.16/5.99 | Instantiating formula (206) with e1, e1, all_0_22_22, e4 and discharging atoms op(e1, e1) = all_0_22_22, op(e1, e1) = e4, yields: % 23.31/5.99 | (3859) all_0_22_22 = e4 % 23.31/5.99 | % 23.31/5.99 | Combining equations (437,3856) yields a new equation: % 23.31/5.99 | (3860) all_0_23_23 = e3 % 23.31/5.99 | % 23.31/5.99 | From (430) and (416) follows: % 23.31/5.99 | (268) op(e4, e2) = e1 % 23.31/5.99 | % 23.31/5.99 | From (435) and (366) follows: % 23.31/5.99 | (207) op(e2, e3) = all_0_50_50 % 23.31/5.99 | % 23.31/5.99 | From (3860) and (3794) follows: % 23.31/5.99 | (72) op(e2, e2) = e3 % 23.31/5.99 | % 23.31/5.99 | From (3857) and (3815) follows: % 23.31/5.99 | (825) op(e2, e1) = e1 % 23.31/5.99 | % 23.31/5.99 | From (3858) and (3824) follows: % 23.31/5.99 | (3711) op(e1, e4) = e3 % 23.31/5.99 | % 23.31/5.99 | From (3859) and (3851) follows: % 23.31/5.99 | (227) op(e1, e1) = e4 % 23.31/5.99 | % 23.31/5.99 +-Applying beta-rule and splitting (92), into two cases. % 23.31/5.99 |-Branch one: % 23.31/5.99 | (453) all_0_42_42 = e1 % 23.31/5.99 | % 23.31/5.99 | Equations (453) can reduce 256 to: % 23.31/5.99 | (298) $false % 23.31/5.99 | % 23.31/5.99 |-The branch is then unsatisfiable % 23.31/5.99 |-Branch two: % 23.31/5.99 | (256) ~ (all_0_42_42 = e1) % 23.31/5.99 | (456) all_0_42_42 = e3 | all_0_42_42 = e0 % 23.31/5.99 | % 23.31/5.99 +-Applying beta-rule and splitting (105), into two cases. % 23.31/5.99 |-Branch one: % 23.31/5.99 | (457) all_0_49_49 = e1 % 23.31/5.99 | % 23.31/5.99 | Equations (457) can reduce 329 to: % 23.31/5.99 | (298) $false % 23.31/5.99 | % 23.31/5.99 |-The branch is then unsatisfiable % 23.31/5.99 |-Branch two: % 23.31/5.99 | (329) ~ (all_0_49_49 = e1) % 23.31/5.99 | (460) all_0_49_49 = e4 | all_0_49_49 = e0 % 23.31/5.99 | % 23.31/5.99 +-Applying beta-rule and splitting (54), into two cases. % 23.31/5.99 |-Branch one: % 23.31/5.99 | (500) all_0_44_44 = e0 % 23.31/5.99 | % 23.31/5.99 | Equations (500) can reduce 98 to: % 23.31/5.99 | (769) ~ (all_0_47_47 = e0) % 23.31/5.99 | % 23.31/5.99 | Simplifying 769 yields: % 23.31/5.99 | (589) ~ (all_0_47_47 = e0) % 23.31/5.99 | % 23.31/5.99 | Equations (500) can reduce 205 to: % 23.31/6.00 | (1996) ~ (all_0_49_49 = e0) % 23.31/6.00 | % 23.31/6.00 | Simplifying 1996 yields: % 23.31/6.00 | (652) ~ (all_0_49_49 = e0) % 23.31/6.00 | % 23.31/6.00 | Equations (500) can reduce 914 to: % 23.31/6.00 | (620) ~ (e3 = e0) % 23.31/6.00 | % 23.31/6.00 | Simplifying 620 yields: % 23.31/6.00 | (84) ~ (e3 = e0) % 23.31/6.00 | % 23.31/6.00 | From (500) and (124) follows: % 23.31/6.00 | (3882) op(e3, e4) = e0 % 23.31/6.00 | % 23.31/6.00 +-Applying beta-rule and splitting (165), into two cases. % 23.31/6.00 |-Branch one: % 23.31/6.00 | (487) all_0_47_47 = e1 % 23.31/6.00 | % 23.31/6.00 | Equations (487) can reduce 343 to: % 23.31/6.00 | (298) $false % 23.31/6.00 | % 23.31/6.00 |-The branch is then unsatisfiable % 23.31/6.00 |-Branch two: % 23.31/6.00 | (343) ~ (all_0_47_47 = e1) % 23.31/6.00 | (490) all_0_47_47 = e3 | all_0_47_47 = e2 | all_0_47_47 = e0 % 23.31/6.00 | % 23.31/6.00 +-Applying beta-rule and splitting (460), into two cases. % 23.31/6.00 |-Branch one: % 23.31/6.00 | (637) all_0_49_49 = e0 % 23.31/6.00 | % 23.31/6.00 | Equations (637) can reduce 652 to: % 23.31/6.00 | (298) $false % 23.31/6.00 | % 23.31/6.00 |-The branch is then unsatisfiable % 23.31/6.00 |-Branch two: % 23.31/6.00 | (652) ~ (all_0_49_49 = e0) % 23.31/6.00 | (506) all_0_49_49 = e4 % 23.31/6.00 | % 23.31/6.00 | Equations (506) can reduce 111 to: % 23.31/6.00 | (184) ~ (e4 = e3) % 23.31/6.00 | % 23.31/6.00 | Equations (506) can reduce 329 to: % 23.31/6.00 | (115) ~ (e4 = e1) % 23.31/6.00 | % 23.31/6.00 +-Applying beta-rule and splitting (101), into two cases. % 23.31/6.00 |-Branch one: % 23.31/6.00 | (466) all_0_42_42 = e0 % 23.31/6.00 | % 23.31/6.00 | Equations (466) can reduce 247 to: % 23.31/6.00 | (485) ~ (e4 = e0) % 23.31/6.00 | % 23.31/6.00 | Simplifying 485 yields: % 23.31/6.00 | (47) ~ (e4 = e0) % 23.31/6.00 | % 23.31/6.00 | From (466) and (2) follows: % 23.31/6.00 | (780) op(e4, e1) = e0 % 23.31/6.00 | % 23.31/6.00 +-Applying beta-rule and splitting (160), into two cases. % 23.31/6.00 |-Branch one: % 23.31/6.00 | (771) all_0_50_50 = e1 % 23.31/6.00 | % 23.31/6.00 | Equations (771) can reduce 330 to: % 23.31/6.00 | (298) $false % 23.31/6.00 | % 23.31/6.00 |-The branch is then unsatisfiable % 23.31/6.00 |-Branch two: % 23.31/6.00 | (330) ~ (all_0_50_50 = e1) % 23.31/6.00 | (774) all_0_50_50 = e4 | all_0_50_50 = e2 | all_0_50_50 = e0 % 23.31/6.00 | % 23.31/6.00 +-Applying beta-rule and splitting (23), into two cases. % 23.31/6.00 |-Branch one: % 23.31/6.00 | (755) all_0_40_40 = e3 % 23.31/6.00 | % 23.31/6.00 | Equations (755) can reduce 425 to: % 23.31/6.00 | (298) $false % 23.31/6.00 | % 23.31/6.00 |-The branch is then unsatisfiable % 23.31/6.00 |-Branch two: % 23.31/6.00 | (425) ~ (all_0_40_40 = e3) % 23.31/6.00 | (1257) all_0_42_42 = e3 | all_0_43_43 = e3 % 23.31/6.00 | % 23.31/6.00 +-Applying beta-rule and splitting (129), into two cases. % 23.31/6.00 |-Branch one: % 23.31/6.00 | (637) all_0_49_49 = e0 % 23.31/6.00 | % 23.31/6.00 | Combining equations (637,506) yields a new equation: % 23.31/6.00 | (481) e4 = e0 % 23.31/6.00 | % 23.31/6.00 | Equations (481) can reduce 47 to: % 23.31/6.00 | (298) $false % 23.31/6.00 | % 23.31/6.00 |-The branch is then unsatisfiable % 23.31/6.00 |-Branch two: % 23.31/6.00 | (652) ~ (all_0_49_49 = e0) % 23.31/6.00 | (682) all_0_50_50 = e0 | all_0_51_51 = e0 | all_0_52_52 = e0 % 23.31/6.00 | % 23.31/6.00 +-Applying beta-rule and splitting (251), into two cases. % 23.31/6.00 |-Branch one: % 23.31/6.00 | (469) all_0_42_42 = e3 % 23.31/6.00 | % 23.31/6.00 | Combining equations (469,466) yields a new equation: % 23.31/6.00 | (654) e3 = e0 % 23.31/6.00 | % 23.31/6.00 | Simplifying 654 yields: % 23.31/6.00 | (534) e3 = e0 % 23.31/6.00 | % 23.31/6.00 | Equations (534) can reduce 84 to: % 23.31/6.00 | (298) $false % 23.31/6.00 | % 23.31/6.00 |-The branch is then unsatisfiable % 23.31/6.00 |-Branch two: % 23.31/6.00 | (847) ~ (all_0_42_42 = e3) % 23.31/6.00 | (1512) all_0_47_47 = e3 | all_0_59_59 = e3 % 23.31/6.00 | % 23.31/6.00 | Equations (466) can reduce 847 to: % 23.31/6.00 | (620) ~ (e3 = e0) % 23.31/6.00 | % 23.31/6.00 | Simplifying 620 yields: % 23.31/6.00 | (84) ~ (e3 = e0) % 23.31/6.00 | % 23.31/6.00 +-Applying beta-rule and splitting (682), into two cases. % 23.31/6.00 |-Branch one: % 23.31/6.00 | (781) all_0_50_50 = e0 % 23.31/6.00 | % 23.31/6.00 | Equations (781) can reduce 330 to: % 23.31/6.00 | (526) ~ (e1 = e0) % 23.31/6.00 | % 23.31/6.00 | Simplifying 526 yields: % 23.31/6.00 | (231) ~ (e1 = e0) % 23.31/6.00 | % 23.31/6.00 | From (781) and (207) follows: % 23.31/6.00 | (786) op(e2, e3) = e0 % 23.31/6.00 | % 23.31/6.00 +-Applying beta-rule and splitting (55), into two cases. % 23.31/6.00 |-Branch one: % 23.31/6.00 | (529) unit = e1 % 23.31/6.00 | % 23.31/6.00 | From (529) and (162) follows: % 23.31/6.00 | (3923) op(e1, e4) = e4 % 23.31/6.00 | % 23.31/6.00 | From (529) and (143) follows: % 23.31/6.00 | (429) op(e1, e3) = e3 % 23.31/6.00 | % 23.31/6.00 | From (529) and (243) follows: % 23.31/6.00 | (530) op(e4, e1) = e4 % 23.31/6.00 | % 23.31/6.00 | From (529) and (221) follows: % 23.31/6.00 | (532) op(e1, e1) = e1 % 23.31/6.00 | % 23.31/6.00 | Instantiating formula (206) with e4, e1, e4, e0 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e0, yields: % 23.31/6.00 | (481) e4 = e0 % 23.31/6.00 | % 23.31/6.00 | Instantiating formula (206) with e1, e4, e4, e3 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e3, yields: % 23.31/6.00 | (392) e4 = e3 % 23.31/6.00 | % 23.31/6.00 | Instantiating formula (206) with e1, e3, e3, e2 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e2, yields: % 23.31/6.00 | (567) e3 = e2 % 23.31/6.00 | % 23.31/6.00 | Instantiating formula (206) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 23.31/6.00 | (535) e4 = e1 % 23.31/6.00 | % 23.31/6.00 | Combining equations (535,392) yields a new equation: % 23.31/6.00 | (420) e3 = e1 % 23.31/6.00 | % 23.31/6.00 | Combining equations (481,392) yields a new equation: % 23.31/6.00 | (534) e3 = e0 % 23.31/6.00 | % 23.31/6.00 | Combining equations (420,567) yields a new equation: % 23.31/6.00 | (544) e2 = e1 % 23.31/6.00 | % 23.31/6.00 | Combining equations (534,567) yields a new equation: % 23.31/6.00 | (569) e2 = e0 % 23.31/6.00 | % 23.31/6.00 | Combining equations (544,569) yields a new equation: % 23.31/6.00 | (296) e1 = e0 % 23.31/6.00 | % 23.31/6.00 | Simplifying 296 yields: % 23.31/6.00 | (297) e1 = e0 % 23.31/6.00 | % 23.31/6.00 | Equations (297) can reduce 231 to: % 23.31/6.00 | (298) $false % 23.31/6.00 | % 23.31/6.00 |-The branch is then unsatisfiable % 23.31/6.00 |-Branch two: % 23.31/6.00 | (540) ~ (unit = e1) % 23.31/6.00 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 23.31/6.00 | % 23.31/6.00 +-Applying beta-rule and splitting (541), into two cases. % 23.31/6.00 |-Branch one: % 23.31/6.00 | (542) unit = e0 % 23.31/6.00 | % 23.31/6.00 | From (542) and (162) follows: % 23.31/6.00 | (1387) op(e0, e4) = e4 % 23.31/6.00 | % 23.31/6.00 | From (542) and (24) follows: % 23.31/6.00 | (981) op(e0, e2) = e2 % 23.31/6.00 | % 23.31/6.00 | Instantiating formula (206) with e0, e4, e4, e1 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e1, yields: % 23.31/6.00 | (535) e4 = e1 % 23.31/6.00 | % 23.31/6.00 | Instantiating formula (206) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 23.31/6.00 | (409) e4 = e2 % 23.31/6.00 | % 23.31/6.00 | Combining equations (409,535) yields a new equation: % 23.31/6.00 | (887) e2 = e1 % 23.31/6.00 | % 23.31/6.00 | Simplifying 887 yields: % 23.31/6.00 | (544) e2 = e1 % 23.31/6.00 | % 23.31/6.00 | Equations (544) can reduce 134 to: % 23.31/6.00 | (298) $false % 23.31/6.00 | % 23.31/6.00 |-The branch is then unsatisfiable % 23.31/6.00 |-Branch two: % 23.31/6.00 | (546) ~ (unit = e0) % 23.31/6.00 | (547) unit = e4 | unit = e3 | unit = e2 % 23.31/6.00 | % 23.31/6.00 +-Applying beta-rule and splitting (547), into two cases. % 23.31/6.00 |-Branch one: % 23.31/6.00 | (548) unit = e3 % 23.31/6.00 | % 23.31/6.00 | From (548) and (66) follows: % 23.31/6.00 | (1415) op(e2, e3) = e2 % 23.31/6.00 | % 23.31/6.00 | From (548) and (221) follows: % 23.31/6.00 | (550) op(e1, e3) = e1 % 23.31/6.00 | % 23.31/6.00 | Instantiating formula (206) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields: % 23.31/6.00 | (569) e2 = e0 % 23.31/6.00 | % 23.31/6.00 | Instantiating formula (206) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 23.31/6.00 | (544) e2 = e1 % 23.31/6.00 | % 23.31/6.00 | Combining equations (544,569) yields a new equation: % 23.31/6.00 | (296) e1 = e0 % 23.31/6.00 | % 23.31/6.00 | Simplifying 296 yields: % 23.31/6.00 | (297) e1 = e0 % 23.31/6.00 | % 23.31/6.00 | Equations (297) can reduce 231 to: % 23.31/6.00 | (298) $false % 23.31/6.00 | % 23.31/6.00 |-The branch is then unsatisfiable % 23.31/6.00 |-Branch two: % 23.31/6.00 | (555) ~ (unit = e3) % 23.31/6.00 | (556) unit = e4 | unit = e2 % 23.31/6.00 | % 23.31/6.00 +-Applying beta-rule and splitting (556), into two cases. % 23.31/6.00 |-Branch one: % 23.31/6.00 | (557) unit = e4 % 23.31/6.00 | % 23.31/6.00 | From (557) and (74) follows: % 23.31/6.00 | (561) op(e3, e4) = e3 % 23.31/6.00 | % 23.31/6.00 | From (557) and (221) follows: % 23.31/6.00 | (3962) op(e1, e4) = e1 % 23.31/6.00 | % 23.31/6.00 | Instantiating formula (206) with e3, e4, e3, e0 and discharging atoms op(e3, e4) = e3, op(e3, e4) = e0, yields: % 23.31/6.00 | (534) e3 = e0 % 23.31/6.00 | % 23.31/6.00 | Instantiating formula (206) with e1, e4, e1, e3 and discharging atoms op(e1, e4) = e3, op(e1, e4) = e1, yields: % 23.31/6.00 | (420) e3 = e1 % 23.31/6.00 | % 23.31/6.00 | Combining equations (534,420) yields a new equation: % 23.31/6.00 | (297) e1 = e0 % 23.31/6.00 | % 23.31/6.00 | Equations (297) can reduce 231 to: % 23.31/6.00 | (298) $false % 23.31/6.00 | % 23.31/6.00 |-The branch is then unsatisfiable % 23.31/6.00 |-Branch two: % 23.31/6.00 | (573) ~ (unit = e4) % 23.31/6.00 | (574) unit = e2 % 23.31/6.00 | % 23.31/6.00 | From (574) and (243) follows: % 23.31/6.00 | (576) op(e4, e2) = e4 % 23.31/6.00 | % 23.31/6.00 | From (574) and (67) follows: % 23.31/6.00 | (578) op(e0, e2) = e0 % 23.31/6.00 | % 23.31/6.00 | Instantiating formula (206) with e4, e2, e4, e1 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e1, yields: % 23.31/6.00 | (535) e4 = e1 % 23.31/6.00 | % 23.31/6.00 | Instantiating formula (206) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields: % 23.31/6.00 | (481) e4 = e0 % 23.31/6.00 | % 23.31/6.00 | Combining equations (535,481) yields a new equation: % 23.31/6.00 | (296) e1 = e0 % 23.31/6.00 | % 23.31/6.00 | Simplifying 296 yields: % 23.31/6.00 | (297) e1 = e0 % 23.31/6.00 | % 23.31/6.00 | Equations (297) can reduce 231 to: % 23.31/6.00 | (298) $false % 23.31/6.00 | % 23.31/6.00 |-The branch is then unsatisfiable % 23.31/6.00 |-Branch two: % 23.31/6.00 | (661) ~ (all_0_50_50 = e0) % 23.31/6.00 | (2072) all_0_51_51 = e0 | all_0_52_52 = e0 % 23.31/6.00 | % 23.31/6.00 +-Applying beta-rule and splitting (1257), into two cases. % 23.31/6.00 |-Branch one: % 23.31/6.00 | (469) all_0_42_42 = e3 % 23.31/6.00 | % 23.31/6.00 | Combining equations (469,466) yields a new equation: % 23.31/6.00 | (654) e3 = e0 % 23.31/6.00 | % 23.31/6.00 | Simplifying 654 yields: % 23.31/6.00 | (534) e3 = e0 % 23.31/6.00 | % 23.31/6.00 | Equations (534) can reduce 84 to: % 23.31/6.00 | (298) $false % 23.31/6.00 | % 23.31/6.00 |-The branch is then unsatisfiable % 23.31/6.00 |-Branch two: % 23.31/6.00 | (847) ~ (all_0_42_42 = e3) % 23.31/6.00 | (475) all_0_43_43 = e3 % 23.31/6.00 | % 23.31/6.00 +-Applying beta-rule and splitting (216), into two cases. % 23.31/6.00 |-Branch one: % 23.31/6.00 | (479) all_0_40_40 = e4 % 23.31/6.00 | % 23.31/6.00 | Equations (479) can reduce 75 to: % 23.31/6.00 | (759) ~ (all_0_50_50 = e4) % 23.31/6.00 | % 23.31/6.00 | Simplifying 759 yields: % 23.31/6.00 | (596) ~ (all_0_50_50 = e4) % 23.31/6.00 | % 23.31/6.00 +-Applying beta-rule and splitting (774), into two cases. % 23.31/6.00 |-Branch one: % 23.31/6.00 | (781) all_0_50_50 = e0 % 23.31/6.00 | % 23.31/6.00 | Equations (781) can reduce 661 to: % 23.31/6.00 | (298) $false % 23.31/6.00 | % 23.31/6.00 |-The branch is then unsatisfiable % 23.31/6.00 |-Branch two: % 23.31/6.00 | (661) ~ (all_0_50_50 = e0) % 23.31/6.00 | (834) all_0_50_50 = e4 | all_0_50_50 = e2 % 23.31/6.00 | % 23.31/6.00 +-Applying beta-rule and splitting (834), into two cases. % 23.31/6.00 |-Branch one: % 23.31/6.00 | (523) all_0_50_50 = e4 % 23.31/6.00 | % 23.31/6.00 | Equations (523) can reduce 596 to: % 23.31/6.00 | (298) $false % 23.31/6.00 | % 23.31/6.00 |-The branch is then unsatisfiable % 23.31/6.00 |-Branch two: % 23.31/6.00 | (596) ~ (all_0_50_50 = e4) % 23.31/6.00 | (838) all_0_50_50 = e2 % 23.31/6.00 | % 23.31/6.00 | Equations (838) can reduce 398 to: % 23.31/6.00 | (298) $false % 23.31/6.00 | % 23.31/6.00 |-The branch is then unsatisfiable % 23.31/6.00 |-Branch two: % 23.31/6.00 | (483) ~ (all_0_40_40 = e4) % 23.31/6.00 | (515) all_0_41_41 = e4 | all_0_43_43 = e4 % 23.31/6.00 | % 23.31/6.00 +-Applying beta-rule and splitting (45), into two cases. % 23.31/6.00 |-Branch one: % 23.31/6.00 | (520) all_0_43_43 = e4 % 23.31/6.00 | % 23.31/6.00 | Combining equations (520,475) yields a new equation: % 23.31/6.00 | (391) e4 = e3 % 23.31/6.00 | % 23.31/6.00 | Simplifying 391 yields: % 23.31/6.00 | (392) e4 = e3 % 23.31/6.00 | % 23.31/6.00 | Equations (392) can reduce 184 to: % 23.31/6.00 | (298) $false % 23.31/6.00 | % 23.31/6.00 |-The branch is then unsatisfiable % 23.31/6.00 |-Branch two: % 23.31/6.00 | (601) ~ (all_0_43_43 = e4) % 23.31/6.00 | (602) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_60_60 = e4 % 23.31/6.00 | % 23.31/6.00 | Equations (475) can reduce 601 to: % 23.31/6.00 | (472) ~ (e4 = e3) % 23.31/6.00 | % 23.31/6.00 | Simplifying 472 yields: % 23.31/6.00 | (184) ~ (e4 = e3) % 23.31/6.00 | % 23.31/6.00 +-Applying beta-rule and splitting (515), into two cases. % 23.31/6.00 |-Branch one: % 23.31/6.00 | (603) all_0_41_41 = e4 % 23.31/6.00 | % 23.31/6.00 | Combining equations (603,253) yields a new equation: % 23.31/6.00 | (598) e4 = e1 % 23.31/6.00 | % 23.31/6.00 | Simplifying 598 yields: % 23.31/6.00 | (535) e4 = e1 % 23.31/6.00 | % 23.31/6.00 | Equations (535) can reduce 115 to: % 23.31/6.00 | (298) $false % 23.31/6.00 | % 23.31/6.00 |-The branch is then unsatisfiable % 23.31/6.00 |-Branch two: % 23.31/6.00 | (607) ~ (all_0_41_41 = e4) % 23.31/6.00 | (520) all_0_43_43 = e4 % 23.31/6.00 | % 23.31/6.00 | Combining equations (520,475) yields a new equation: % 23.31/6.00 | (391) e4 = e3 % 23.31/6.00 | % 23.31/6.00 | Simplifying 391 yields: % 23.31/6.00 | (392) e4 = e3 % 23.31/6.00 | % 23.31/6.00 | Equations (392) can reduce 184 to: % 23.31/6.00 | (298) $false % 23.31/6.00 | % 23.31/6.00 |-The branch is then unsatisfiable % 23.31/6.00 |-Branch two: % 23.31/6.00 | (463) ~ (all_0_42_42 = e0) % 23.31/6.00 | (841) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_59_59 = e0 % 23.31/6.00 | % 23.31/6.00 +-Applying beta-rule and splitting (212), into two cases. % 23.31/6.00 |-Branch one: % 23.31/6.00 | (461) all_0_40_40 = e0 % 23.31/6.00 | % 23.31/6.00 | Equations (461) can reduce 246 to: % 23.31/6.00 | (782) ~ (e2 = e0) % 23.31/6.00 | % 23.31/6.00 | Simplifying 782 yields: % 23.31/6.00 | (139) ~ (e2 = e0) % 23.31/6.00 | % 23.31/6.00 | Equations (461) can reduce 254 to: % 23.31/6.00 | (526) ~ (e1 = e0) % 23.31/6.00 | % 23.31/6.00 | Simplifying 526 yields: % 23.31/6.00 | (231) ~ (e1 = e0) % 23.31/6.00 | % 23.31/6.00 +-Applying beta-rule and splitting (490), into two cases. % 23.31/6.00 |-Branch one: % 23.31/6.00 | (525) all_0_47_47 = e0 % 23.31/6.00 | % 23.31/6.00 | Equations (525) can reduce 589 to: % 23.31/6.00 | (298) $false % 23.31/6.00 | % 23.31/6.00 |-The branch is then unsatisfiable % 23.31/6.00 |-Branch two: % 23.31/6.00 | (589) ~ (all_0_47_47 = e0) % 23.31/6.00 | (590) all_0_47_47 = e3 | all_0_47_47 = e2 % 23.31/6.00 | % 23.31/6.00 +-Applying beta-rule and splitting (841), into two cases. % 23.31/6.00 |-Branch one: % 23.31/6.00 | (525) all_0_47_47 = e0 % 23.31/6.00 | % 23.31/6.00 | Equations (525) can reduce 589 to: % 23.31/6.00 | (298) $false % 23.31/6.00 | % 23.31/6.00 |-The branch is then unsatisfiable % 23.31/6.00 |-Branch two: % 23.31/6.00 | (589) ~ (all_0_47_47 = e0) % 23.31/6.00 | (2624) all_0_51_51 = e0 | all_0_59_59 = e0 % 23.31/6.00 | % 23.31/6.00 +-Applying beta-rule and splitting (2624), into two cases. % 23.31/6.00 |-Branch one: % 23.31/6.00 | (1730) all_0_51_51 = e0 % 23.31/6.00 | % 23.31/6.00 | Combining equations (1704,1730) yields a new equation: % 23.31/6.00 | (296) e1 = e0 % 23.31/6.00 | % 23.31/6.00 | Simplifying 296 yields: % 23.31/6.00 | (297) e1 = e0 % 23.31/6.00 | % 23.31/6.00 | Equations (297) can reduce 231 to: % 23.31/6.00 | (298) $false % 23.31/6.00 | % 23.31/6.00 |-The branch is then unsatisfiable % 23.31/6.00 |-Branch two: % 23.31/6.00 | (1871) ~ (all_0_51_51 = e0) % 23.31/6.00 | (2627) all_0_59_59 = e0 % 23.31/6.00 | % 23.31/6.00 | Combining equations (886,2627) yields a new equation: % 23.31/6.00 | (568) e2 = e0 % 23.31/6.00 | % 23.31/6.00 | Simplifying 568 yields: % 23.31/6.00 | (569) e2 = e0 % 23.31/6.00 | % 23.31/6.00 | Equations (569) can reduce 139 to: % 23.31/6.00 | (298) $false % 23.31/6.00 | % 23.31/6.00 |-The branch is then unsatisfiable % 23.31/6.00 |-Branch two: % 23.31/6.00 | (745) ~ (all_0_40_40 = e0) % 23.31/6.00 | (746) all_0_42_42 = e0 | all_0_43_43 = e0 % 23.31/6.00 | % 23.31/6.00 +-Applying beta-rule and splitting (746), into two cases. % 23.31/6.00 |-Branch one: % 23.31/6.00 | (466) all_0_42_42 = e0 % 23.31/6.00 | % 23.31/6.00 | Equations (466) can reduce 463 to: % 23.31/6.00 | (298) $false % 23.31/6.00 | % 23.31/6.00 |-The branch is then unsatisfiable % 23.31/6.00 |-Branch two: % 23.31/6.00 | (463) ~ (all_0_42_42 = e0) % 23.31/6.00 | (1253) all_0_43_43 = e0 % 23.31/6.00 | % 23.31/6.00 | Equations (1253) can reduce 301 to: % 23.31/6.00 | (298) $false % 23.31/6.00 | % 23.31/6.00 |-The branch is then unsatisfiable % 23.31/6.00 |-Branch two: % 23.31/6.00 | (503) ~ (all_0_44_44 = e0) % 23.31/6.00 | (504) all_0_49_49 = e0 | all_0_56_56 = e0 % 23.31/6.00 | % 23.31/6.00 +-Applying beta-rule and splitting (170), into two cases. % 23.31/6.00 |-Branch one: % 23.31/6.01 | (1299) all_0_44_44 = e1 % 23.31/6.01 | % 23.31/6.01 | Equations (1299) can reduce 273 to: % 23.31/6.01 | (298) $false % 23.31/6.01 | % 23.31/6.01 |-The branch is then unsatisfiable % 23.31/6.01 |-Branch two: % 23.31/6.01 | (273) ~ (all_0_44_44 = e1) % 23.31/6.01 | (1302) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e0 % 23.31/6.01 | % 23.31/6.01 +-Applying beta-rule and splitting (10), into two cases. % 23.31/6.01 |-Branch one: % 23.31/6.01 | (500) all_0_44_44 = e0 % 23.31/6.01 | % 23.31/6.01 | Equations (500) can reduce 503 to: % 23.31/6.01 | (298) $false % 23.31/6.01 | % 23.31/6.01 |-The branch is then unsatisfiable % 23.31/6.01 |-Branch two: % 23.31/6.01 | (503) ~ (all_0_44_44 = e0) % 23.31/6.01 | (1310) all_0_45_45 = e0 | all_0_47_47 = e0 | all_0_48_48 = e0 % 23.31/6.01 | % 23.31/6.01 +-Applying beta-rule and splitting (1310), into two cases. % 23.31/6.01 |-Branch one: % 23.31/6.01 | (295) all_0_45_45 = e0 % 23.31/6.01 | % 23.31/6.01 | Combining equations (295,284) yields a new equation: % 23.31/6.01 | (297) e1 = e0 % 23.31/6.01 | % 23.31/6.01 | Equations (297) can reduce 231 to: % 23.31/6.01 | (298) $false % 23.31/6.01 | % 23.31/6.01 |-The branch is then unsatisfiable % 23.31/6.01 |-Branch two: % 23.31/6.01 | (299) ~ (all_0_45_45 = e0) % 23.31/6.01 | (1315) all_0_47_47 = e0 | all_0_48_48 = e0 % 23.31/6.01 | % 23.31/6.01 +-Applying beta-rule and splitting (1315), into two cases. % 23.31/6.01 |-Branch one: % 23.31/6.01 | (525) all_0_47_47 = e0 % 23.31/6.01 | % 23.31/6.01 | Equations (525) can reduce 242 to: % 23.31/6.01 | (463) ~ (all_0_42_42 = e0) % 23.31/6.01 | % 23.31/6.01 | Equations (525) can reduce 98 to: % 23.31/6.01 | (503) ~ (all_0_44_44 = e0) % 23.31/6.01 | % 23.31/6.01 | Equations (525) can reduce 76 to: % 23.31/6.01 | (485) ~ (e4 = e0) % 23.31/6.01 | % 23.31/6.01 | Simplifying 485 yields: % 23.31/6.01 | (47) ~ (e4 = e0) % 23.31/6.01 | % 23.31/6.01 | From (525) and (158) follows: % 23.31/6.01 | (528) op(e3, e1) = e0 % 23.31/6.01 | % 23.31/6.01 +-Applying beta-rule and splitting (212), into two cases. % 23.31/6.01 |-Branch one: % 23.31/6.01 | (461) all_0_40_40 = e0 % 23.31/6.01 | % 23.31/6.01 | Equations (461) can reduce 238 to: % 23.31/6.01 | (464) ~ (all_0_43_43 = e0) % 23.31/6.01 | % 23.31/6.01 | Simplifying 464 yields: % 23.31/6.01 | (301) ~ (all_0_43_43 = e0) % 23.31/6.01 | % 23.31/6.01 | Equations (461) can reduce 254 to: % 23.31/6.01 | (526) ~ (e1 = e0) % 23.31/6.01 | % 23.31/6.01 | Simplifying 526 yields: % 23.31/6.01 | (231) ~ (e1 = e0) % 23.31/6.01 | % 23.31/6.01 | From (461) and (233) follows: % 23.31/6.01 | (4072) op(e4, e3) = e0 % 23.31/6.01 | % 23.31/6.01 +-Applying beta-rule and splitting (216), into two cases. % 23.31/6.01 |-Branch one: % 23.31/6.01 | (479) all_0_40_40 = e4 % 23.31/6.01 | % 23.31/6.01 | Combining equations (479,461) yields a new equation: % 23.31/6.01 | (480) e4 = e0 % 23.31/6.01 | % 23.31/6.01 | Simplifying 480 yields: % 23.31/6.01 | (481) e4 = e0 % 23.31/6.01 | % 23.31/6.01 | Equations (481) can reduce 47 to: % 23.31/6.01 | (298) $false % 23.31/6.01 | % 23.31/6.01 |-The branch is then unsatisfiable % 23.31/6.01 |-Branch two: % 23.31/6.01 | (483) ~ (all_0_40_40 = e4) % 23.31/6.01 | (515) all_0_41_41 = e4 | all_0_43_43 = e4 % 23.31/6.01 | % 23.31/6.01 +-Applying beta-rule and splitting (167), into two cases. % 23.31/6.01 |-Branch one: % 23.31/6.01 | (310) all_0_43_43 = e1 % 23.31/6.01 | % 23.31/6.01 | Equations (310) can reduce 258 to: % 23.31/6.01 | (298) $false % 23.31/6.01 | % 23.31/6.01 |-The branch is then unsatisfiable % 23.31/6.01 |-Branch two: % 23.31/6.01 | (258) ~ (all_0_43_43 = e1) % 23.31/6.01 | (519) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e0 % 23.31/6.01 | % 23.31/6.01 +-Applying beta-rule and splitting (515), into two cases. % 23.31/6.01 |-Branch one: % 23.31/6.01 | (603) all_0_41_41 = e4 % 23.31/6.01 | % 23.31/6.01 | Combining equations (603,253) yields a new equation: % 23.31/6.01 | (598) e4 = e1 % 23.31/6.01 | % 23.31/6.01 | Simplifying 598 yields: % 23.31/6.01 | (535) e4 = e1 % 23.31/6.01 | % 23.31/6.01 | Equations (535) can reduce 115 to: % 23.31/6.01 | (298) $false % 23.31/6.01 | % 23.31/6.01 |-The branch is then unsatisfiable % 23.31/6.01 |-Branch two: % 23.31/6.01 | (607) ~ (all_0_41_41 = e4) % 23.31/6.01 | (520) all_0_43_43 = e4 % 23.31/6.01 | % 23.31/6.01 | Equations (520) can reduce 258 to: % 23.31/6.01 | (115) ~ (e4 = e1) % 23.31/6.01 | % 23.31/6.01 | Equations (520) can reduce 301 to: % 23.31/6.01 | (47) ~ (e4 = e0) % 23.31/6.01 | % 23.31/6.01 +-Applying beta-rule and splitting (125), into two cases. % 23.31/6.01 |-Branch one: % 23.31/6.01 | (479) all_0_40_40 = e4 % 23.31/6.01 | % 23.31/6.01 | Combining equations (479,461) yields a new equation: % 23.31/6.01 | (480) e4 = e0 % 23.31/6.01 | % 23.31/6.01 | Simplifying 480 yields: % 23.31/6.01 | (481) e4 = e0 % 23.31/6.01 | % 23.31/6.01 | Equations (481) can reduce 47 to: % 23.31/6.01 | (298) $false % 23.31/6.01 | % 23.31/6.01 |-The branch is then unsatisfiable % 23.31/6.01 |-Branch two: % 23.31/6.01 | (483) ~ (all_0_40_40 = e4) % 23.31/6.01 | (484) all_0_45_45 = e4 | all_0_50_50 = e4 | all_0_57_57 = e4 % 23.31/6.01 | % 23.31/6.01 | Equations (461) can reduce 483 to: % 23.31/6.01 | (485) ~ (e4 = e0) % 23.31/6.01 | % 23.31/6.01 | Simplifying 485 yields: % 23.31/6.01 | (47) ~ (e4 = e0) % 23.31/6.01 | % 23.31/6.01 +-Applying beta-rule and splitting (129), into two cases. % 23.31/6.01 |-Branch one: % 23.31/6.01 | (637) all_0_49_49 = e0 % 23.31/6.01 | % 23.31/6.01 | Equations (637) can reduce 329 to: % 23.31/6.01 | (526) ~ (e1 = e0) % 23.31/6.01 | % 23.31/6.01 | Simplifying 526 yields: % 23.31/6.01 | (231) ~ (e1 = e0) % 23.31/6.01 | % 23.31/6.01 | From (637) and (110) follows: % 23.31/6.01 | (1351) op(e2, e4) = e0 % 23.31/6.01 | % 23.31/6.01 +-Applying beta-rule and splitting (226), into two cases. % 23.31/6.01 |-Branch one: % 23.31/6.01 | (506) all_0_49_49 = e4 % 23.31/6.01 | % 23.31/6.01 | Combining equations (637,506) yields a new equation: % 23.31/6.01 | (481) e4 = e0 % 23.31/6.01 | % 23.31/6.01 | Equations (481) can reduce 47 to: % 23.31/6.01 | (298) $false % 23.31/6.01 | % 23.31/6.01 |-The branch is then unsatisfiable % 23.31/6.01 |-Branch two: % 23.31/6.01 | (497) ~ (all_0_49_49 = e4) % 23.31/6.01 | (509) all_0_50_50 = e4 | all_0_52_52 = e4 % 23.31/6.01 | % 23.31/6.01 | Equations (637) can reduce 497 to: % 23.31/6.01 | (485) ~ (e4 = e0) % 23.31/6.01 | % 23.31/6.01 | Simplifying 485 yields: % 23.31/6.01 | (47) ~ (e4 = e0) % 23.31/6.01 | % 23.31/6.01 +-Applying beta-rule and splitting (63), into two cases. % 23.31/6.01 |-Branch one: % 23.31/6.01 | (495) all_0_44_44 = e4 % 23.31/6.01 | % 23.31/6.01 | Equations (495) can reduce 914 to: % 23.31/6.01 | (184) ~ (e4 = e3) % 23.31/6.01 | % 23.31/6.01 | Equations (495) can reduce 273 to: % 23.31/6.01 | (115) ~ (e4 = e1) % 23.31/6.01 | % 23.31/6.01 | From (495) and (124) follows: % 23.31/6.01 | (499) op(e3, e4) = e4 % 23.31/6.01 | % 23.31/6.01 +-Applying beta-rule and splitting (484), into two cases. % 23.31/6.01 |-Branch one: % 23.31/6.01 | (1221) all_0_45_45 = e4 % 23.31/6.01 | % 23.31/6.01 | Combining equations (284,1221) yields a new equation: % 23.31/6.01 | (535) e4 = e1 % 23.31/6.01 | % 23.31/6.01 | Equations (535) can reduce 115 to: % 23.31/6.01 | (298) $false % 23.31/6.01 | % 23.31/6.01 |-The branch is then unsatisfiable % 23.31/6.01 |-Branch two: % 23.31/6.01 | (1224) ~ (all_0_45_45 = e4) % 23.31/6.01 | (1225) all_0_50_50 = e4 | all_0_57_57 = e4 % 23.31/6.01 | % 23.31/6.01 +-Applying beta-rule and splitting (163), into two cases. % 23.31/6.01 |-Branch one: % 23.31/6.01 | (892) all_0_44_44 = e3 % 23.31/6.01 | % 23.31/6.01 | Combining equations (495,892) yields a new equation: % 23.31/6.01 | (391) e4 = e3 % 23.31/6.01 | % 23.31/6.01 | Simplifying 391 yields: % 23.31/6.01 | (392) e4 = e3 % 23.31/6.01 | % 23.31/6.01 | Equations (392) can reduce 184 to: % 23.31/6.01 | (298) $false % 23.31/6.01 | % 23.31/6.01 |-The branch is then unsatisfiable % 23.31/6.01 |-Branch two: % 23.31/6.01 | (914) ~ (all_0_44_44 = e3) % 23.31/6.01 | (1082) all_0_45_45 = e3 | all_0_47_47 = e3 | all_0_48_48 = e3 % 23.31/6.01 | % 23.31/6.01 | Equations (495) can reduce 914 to: % 23.31/6.01 | (184) ~ (e4 = e3) % 23.31/6.01 | % 23.31/6.01 +-Applying beta-rule and splitting (68), into two cases. % 23.31/6.01 |-Branch one: % 23.31/6.01 | (475) all_0_43_43 = e3 % 23.31/6.01 | % 23.31/6.01 | Combining equations (475,520) yields a new equation: % 23.31/6.01 | (392) e4 = e3 % 23.31/6.01 | % 23.31/6.01 | Equations (392) can reduce 184 to: % 23.31/6.01 | (298) $false % 23.31/6.01 | % 23.31/6.01 |-The branch is then unsatisfiable % 23.31/6.01 |-Branch two: % 23.31/6.01 | (471) ~ (all_0_43_43 = e3) % 23.31/6.01 | (478) all_0_48_48 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 23.31/6.01 | % 23.31/6.01 | Equations (520) can reduce 471 to: % 23.31/6.01 | (184) ~ (e4 = e3) % 23.31/6.01 | % 23.31/6.01 +-Applying beta-rule and splitting (1225), into two cases. % 23.31/6.01 |-Branch one: % 23.31/6.01 | (523) all_0_50_50 = e4 % 23.31/6.01 | % 23.31/6.01 | From (523) and (207) follows: % 23.31/6.01 | (524) op(e2, e3) = e4 % 23.31/6.01 | % 23.31/6.01 +-Applying beta-rule and splitting (55), into two cases. % 23.31/6.01 |-Branch one: % 23.31/6.01 | (529) unit = e1 % 23.31/6.01 | % 23.31/6.01 | From (529) and (143) follows: % 23.31/6.01 | (429) op(e1, e3) = e3 % 23.31/6.01 | % 23.31/6.01 | From (529) and (74) follows: % 23.31/6.01 | (531) op(e3, e1) = e3 % 23.31/6.01 | % 23.31/6.01 | From (529) and (66) follows: % 23.31/6.01 | (406) op(e2, e1) = e2 % 23.31/6.01 | % 23.31/6.01 | Instantiating formula (206) with e3, e1, e3, e0 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e0, yields: % 23.31/6.01 | (534) e3 = e0 % 23.31/6.01 | % 23.31/6.01 | Instantiating formula (206) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 23.31/6.01 | (544) e2 = e1 % 23.31/6.01 | % 23.31/6.01 | Instantiating formula (206) with e1, e3, e3, e2 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e2, yields: % 23.31/6.01 | (567) e3 = e2 % 23.31/6.01 | % 23.31/6.01 | Combining equations (567,534) yields a new equation: % 23.31/6.01 | (568) e2 = e0 % 23.31/6.01 | % 23.31/6.01 | Simplifying 568 yields: % 23.31/6.01 | (569) e2 = e0 % 23.31/6.01 | % 23.31/6.01 | Combining equations (544,569) yields a new equation: % 23.31/6.01 | (296) e1 = e0 % 23.31/6.01 | % 23.31/6.01 | Simplifying 296 yields: % 23.31/6.01 | (297) e1 = e0 % 23.31/6.01 | % 23.31/6.01 | Equations (297) can reduce 231 to: % 23.31/6.01 | (298) $false % 23.31/6.01 | % 23.31/6.01 |-The branch is then unsatisfiable % 23.31/6.01 |-Branch two: % 23.31/6.01 | (540) ~ (unit = e1) % 23.31/6.01 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 23.31/6.01 | % 23.31/6.01 +-Applying beta-rule and splitting (541), into two cases. % 23.31/6.01 |-Branch one: % 23.31/6.01 | (542) unit = e0 % 23.31/6.01 | % 23.31/6.01 | From (542) and (162) follows: % 23.31/6.01 | (1387) op(e0, e4) = e4 % 23.31/6.01 | % 23.31/6.01 | From (542) and (24) follows: % 23.31/6.01 | (981) op(e0, e2) = e2 % 23.31/6.01 | % 23.31/6.01 | Instantiating formula (206) with e0, e4, e4, e1 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e1, yields: % 23.31/6.01 | (535) e4 = e1 % 23.31/6.01 | % 23.31/6.01 | Instantiating formula (206) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 23.31/6.01 | (409) e4 = e2 % 23.31/6.01 | % 23.31/6.01 | Combining equations (535,409) yields a new equation: % 23.31/6.01 | (544) e2 = e1 % 23.31/6.01 | % 23.31/6.01 | Equations (544) can reduce 134 to: % 23.31/6.01 | (298) $false % 23.31/6.01 | % 23.31/6.01 |-The branch is then unsatisfiable % 23.31/6.01 |-Branch two: % 23.31/6.01 | (546) ~ (unit = e0) % 23.31/6.01 | (547) unit = e4 | unit = e3 | unit = e2 % 23.31/6.01 | % 23.31/6.01 +-Applying beta-rule and splitting (547), into two cases. % 23.31/6.01 |-Branch one: % 23.31/6.01 | (548) unit = e3 % 23.31/6.01 | % 23.31/6.01 | From (548) and (243) follows: % 23.31/6.01 | (763) op(e4, e3) = e4 % 23.31/6.01 | % 23.31/6.01 | From (548) and (66) follows: % 23.31/6.01 | (1415) op(e2, e3) = e2 % 23.31/6.01 | % 23.31/6.01 | From (548) and (221) follows: % 23.31/6.01 | (550) op(e1, e3) = e1 % 23.31/6.01 | % 23.31/6.01 | Instantiating formula (206) with e4, e3, e4, e0 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e0, yields: % 23.31/6.01 | (481) e4 = e0 % 23.31/6.01 | % 23.31/6.01 | Instantiating formula (206) with e2, e3, e2, e4 and discharging atoms op(e2, e3) = e4, op(e2, e3) = e2, yields: % 23.31/6.01 | (409) e4 = e2 % 23.31/6.01 | % 23.31/6.01 | Instantiating formula (206) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 23.31/6.01 | (544) e2 = e1 % 23.31/6.01 | % 23.31/6.01 | Combining equations (409,481) yields a new equation: % 23.31/6.01 | (568) e2 = e0 % 23.31/6.01 | % 23.31/6.01 | Simplifying 568 yields: % 23.31/6.01 | (569) e2 = e0 % 23.31/6.01 | % 23.31/6.01 | Combining equations (569,544) yields a new equation: % 23.31/6.01 | (297) e1 = e0 % 23.31/6.01 | % 23.31/6.01 | Equations (297) can reduce 231 to: % 23.31/6.01 | (298) $false % 23.31/6.01 | % 23.31/6.01 |-The branch is then unsatisfiable % 23.31/6.01 |-Branch two: % 23.31/6.01 | (555) ~ (unit = e3) % 23.31/6.01 | (556) unit = e4 | unit = e2 % 23.31/6.01 | % 23.31/6.01 +-Applying beta-rule and splitting (556), into two cases. % 23.31/6.01 |-Branch one: % 23.31/6.01 | (557) unit = e4 % 23.31/6.01 | % 23.31/6.01 | From (557) and (243) follows: % 23.31/6.01 | (560) op(e4, e4) = e4 % 23.31/6.01 | % 23.31/6.01 | From (557) and (74) follows: % 23.31/6.01 | (561) op(e3, e4) = e3 % 23.31/6.01 | % 23.31/6.01 | From (557) and (66) follows: % 23.31/6.01 | (811) op(e2, e4) = e2 % 23.31/6.01 | % 23.31/6.01 | From (557) and (221) follows: % 23.31/6.01 | (3962) op(e1, e4) = e1 % 23.31/6.01 | % 23.31/6.01 | Instantiating formula (206) with e4, e4, e4, e2 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e2, yields: % 23.31/6.01 | (409) e4 = e2 % 23.31/6.01 | % 23.31/6.01 | Instantiating formula (206) with e3, e4, e3, e4 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e3, yields: % 23.31/6.01 | (392) e4 = e3 % 23.31/6.01 | % 23.31/6.01 | Instantiating formula (206) with e2, e4, e2, e0 and discharging atoms op(e2, e4) = e2, op(e2, e4) = e0, yields: % 23.31/6.01 | (569) e2 = e0 % 23.31/6.01 | % 23.31/6.01 | Instantiating formula (206) with e1, e4, e1, e3 and discharging atoms op(e1, e4) = e3, op(e1, e4) = e1, yields: % 23.31/6.01 | (420) e3 = e1 % 23.31/6.01 | % 23.31/6.01 | Combining equations (409,392) yields a new equation: % 23.31/6.01 | (567) e3 = e2 % 23.31/6.01 | % 23.31/6.01 | Combining equations (567,420) yields a new equation: % 23.31/6.01 | (887) e2 = e1 % 23.31/6.01 | % 23.31/6.01 | Simplifying 887 yields: % 23.31/6.01 | (544) e2 = e1 % 23.31/6.01 | % 23.31/6.01 | Combining equations (544,569) yields a new equation: % 23.31/6.01 | (296) e1 = e0 % 23.31/6.01 | % 23.31/6.01 | Simplifying 296 yields: % 23.31/6.01 | (297) e1 = e0 % 23.31/6.01 | % 23.31/6.01 | Equations (297) can reduce 231 to: % 23.31/6.01 | (298) $false % 23.31/6.01 | % 23.31/6.01 |-The branch is then unsatisfiable % 23.31/6.01 |-Branch two: % 23.31/6.01 | (573) ~ (unit = e4) % 23.31/6.01 | (574) unit = e2 % 23.31/6.01 | % 23.31/6.01 | From (574) and (143) follows: % 23.31/6.01 | (575) op(e2, e3) = e3 % 23.31/6.01 | % 23.31/6.01 | From (574) and (243) follows: % 23.31/6.01 | (576) op(e4, e2) = e4 % 23.31/6.01 | % 23.31/6.01 | From (574) and (66) follows: % 23.31/6.01 | (577) op(e2, e2) = e2 % 23.31/6.01 | % 23.31/6.01 | From (574) and (67) follows: % 23.31/6.01 | (578) op(e0, e2) = e0 % 23.31/6.01 | % 23.31/6.01 | Instantiating formula (206) with e4, e2, e4, e1 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e1, yields: % 23.31/6.01 | (535) e4 = e1 % 23.31/6.01 | % 23.31/6.01 | Instantiating formula (206) with e2, e3, e3, e4 and discharging atoms op(e2, e3) = e4, op(e2, e3) = e3, yields: % 23.31/6.01 | (392) e4 = e3 % 23.31/6.01 | % 23.31/6.01 | Instantiating formula (206) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 23.31/6.01 | (567) e3 = e2 % 23.31/6.01 | % 23.31/6.01 | Instantiating formula (206) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields: % 23.31/6.01 | (481) e4 = e0 % 23.31/6.01 | % 23.31/6.01 | Combining equations (535,392) yields a new equation: % 23.31/6.01 | (420) e3 = e1 % 23.31/6.01 | % 23.31/6.01 | Combining equations (481,392) yields a new equation: % 23.31/6.01 | (534) e3 = e0 % 23.31/6.01 | % 23.31/6.02 | Combining equations (534,567) yields a new equation: % 23.31/6.02 | (569) e2 = e0 % 23.31/6.02 | % 23.31/6.02 | Combining equations (420,567) yields a new equation: % 23.31/6.02 | (544) e2 = e1 % 23.31/6.02 | % 23.31/6.02 | Combining equations (544,569) yields a new equation: % 23.31/6.02 | (296) e1 = e0 % 23.31/6.02 | % 23.31/6.02 | Simplifying 296 yields: % 23.31/6.02 | (297) e1 = e0 % 23.31/6.02 | % 23.31/6.02 | Equations (297) can reduce 231 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (596) ~ (all_0_50_50 = e4) % 23.31/6.02 | (407) all_0_57_57 = e4 % 23.31/6.02 | % 23.31/6.02 | Combining equations (902,407) yields a new equation: % 23.31/6.02 | (392) e4 = e3 % 23.31/6.02 | % 23.31/6.02 | Equations (392) can reduce 184 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (610) ~ (all_0_44_44 = e4) % 23.31/6.02 | (615) all_0_49_49 = e4 | all_0_56_56 = e4 % 23.31/6.02 | % 23.31/6.02 +-Applying beta-rule and splitting (484), into two cases. % 23.31/6.02 |-Branch one: % 23.31/6.02 | (1221) all_0_45_45 = e4 % 23.31/6.02 | % 23.31/6.02 | Combining equations (284,1221) yields a new equation: % 23.31/6.02 | (535) e4 = e1 % 23.31/6.02 | % 23.31/6.02 | Equations (535) can reduce 115 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (1224) ~ (all_0_45_45 = e4) % 23.31/6.02 | (1225) all_0_50_50 = e4 | all_0_57_57 = e4 % 23.31/6.02 | % 23.31/6.02 | Equations (284) can reduce 1224 to: % 23.31/6.02 | (347) ~ (e4 = e1) % 23.31/6.02 | % 23.31/6.02 | Simplifying 347 yields: % 23.31/6.02 | (115) ~ (e4 = e1) % 23.31/6.02 | % 23.31/6.02 +-Applying beta-rule and splitting (615), into two cases. % 23.31/6.02 |-Branch one: % 23.31/6.02 | (506) all_0_49_49 = e4 % 23.31/6.02 | % 23.31/6.02 | Combining equations (637,506) yields a new equation: % 23.31/6.02 | (481) e4 = e0 % 23.31/6.02 | % 23.31/6.02 | Equations (481) can reduce 47 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (497) ~ (all_0_49_49 = e4) % 23.31/6.02 | (390) all_0_56_56 = e4 % 23.31/6.02 | % 23.31/6.02 | Combining equations (314,390) yields a new equation: % 23.31/6.02 | (535) e4 = e1 % 23.31/6.02 | % 23.31/6.02 | Equations (535) can reduce 115 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (652) ~ (all_0_49_49 = e0) % 23.31/6.02 | (682) all_0_50_50 = e0 | all_0_51_51 = e0 | all_0_52_52 = e0 % 23.31/6.02 | % 23.31/6.02 +-Applying beta-rule and splitting (504), into two cases. % 23.31/6.02 |-Branch one: % 23.31/6.02 | (637) all_0_49_49 = e0 % 23.31/6.02 | % 23.31/6.02 | Equations (637) can reduce 652 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (652) ~ (all_0_49_49 = e0) % 23.31/6.02 | (653) all_0_56_56 = e0 % 23.31/6.02 | % 23.31/6.02 | Combining equations (314,653) yields a new equation: % 23.31/6.02 | (296) e1 = e0 % 23.31/6.02 | % 23.31/6.02 | Simplifying 296 yields: % 23.31/6.02 | (297) e1 = e0 % 23.31/6.02 | % 23.31/6.02 | Equations (297) can reduce 231 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (745) ~ (all_0_40_40 = e0) % 23.31/6.02 | (746) all_0_42_42 = e0 | all_0_43_43 = e0 % 23.31/6.02 | % 23.31/6.02 +-Applying beta-rule and splitting (251), into two cases. % 23.31/6.02 |-Branch one: % 23.31/6.02 | (469) all_0_42_42 = e3 % 23.31/6.02 | % 23.31/6.02 +-Applying beta-rule and splitting (1302), into two cases. % 23.31/6.02 |-Branch one: % 23.31/6.02 | (500) all_0_44_44 = e0 % 23.31/6.02 | % 23.31/6.02 | Equations (500) can reduce 503 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (503) ~ (all_0_44_44 = e0) % 23.31/6.02 | (1306) all_0_44_44 = e4 | all_0_44_44 = e3 % 23.31/6.02 | % 23.31/6.02 +-Applying beta-rule and splitting (163), into two cases. % 23.31/6.02 |-Branch one: % 23.31/6.02 | (892) all_0_44_44 = e3 % 23.31/6.02 | % 23.31/6.02 | Equations (892) can reduce 914 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (914) ~ (all_0_44_44 = e3) % 23.31/6.02 | (1082) all_0_45_45 = e3 | all_0_47_47 = e3 | all_0_48_48 = e3 % 23.31/6.02 | % 23.31/6.02 +-Applying beta-rule and splitting (1306), into two cases. % 23.31/6.02 |-Branch one: % 23.31/6.02 | (892) all_0_44_44 = e3 % 23.31/6.02 | % 23.31/6.02 | Equations (892) can reduce 914 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (914) ~ (all_0_44_44 = e3) % 23.31/6.02 | (495) all_0_44_44 = e4 % 23.31/6.02 | % 23.31/6.02 | Equations (495) can reduce 205 to: % 23.31/6.02 | (496) ~ (all_0_49_49 = e4) % 23.31/6.02 | % 23.31/6.02 | Simplifying 496 yields: % 23.31/6.02 | (497) ~ (all_0_49_49 = e4) % 23.31/6.02 | % 23.31/6.02 +-Applying beta-rule and splitting (460), into two cases. % 23.31/6.02 |-Branch one: % 23.31/6.02 | (637) all_0_49_49 = e0 % 23.31/6.02 | % 23.31/6.02 | Equations (637) can reduce 111 to: % 23.31/6.02 | (620) ~ (e3 = e0) % 23.31/6.02 | % 23.31/6.02 | Simplifying 620 yields: % 23.31/6.02 | (84) ~ (e3 = e0) % 23.31/6.02 | % 23.31/6.02 +-Applying beta-rule and splitting (746), into two cases. % 23.31/6.02 |-Branch one: % 23.31/6.02 | (466) all_0_42_42 = e0 % 23.31/6.02 | % 23.31/6.02 | Combining equations (466,469) yields a new equation: % 23.31/6.02 | (534) e3 = e0 % 23.31/6.02 | % 23.31/6.02 | Equations (534) can reduce 84 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (463) ~ (all_0_42_42 = e0) % 23.31/6.02 | (1253) all_0_43_43 = e0 % 23.31/6.02 | % 23.31/6.02 | Equations (1253) can reduce 301 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (652) ~ (all_0_49_49 = e0) % 23.31/6.02 | (506) all_0_49_49 = e4 % 23.31/6.02 | % 23.31/6.02 | Equations (506) can reduce 497 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (847) ~ (all_0_42_42 = e3) % 23.31/6.02 | (1512) all_0_47_47 = e3 | all_0_59_59 = e3 % 23.31/6.02 | % 23.31/6.02 +-Applying beta-rule and splitting (456), into two cases. % 23.31/6.02 |-Branch one: % 23.31/6.02 | (466) all_0_42_42 = e0 % 23.31/6.02 | % 23.31/6.02 | Equations (466) can reduce 463 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (463) ~ (all_0_42_42 = e0) % 23.31/6.02 | (469) all_0_42_42 = e3 % 23.31/6.02 | % 23.31/6.02 | Equations (469) can reduce 847 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (589) ~ (all_0_47_47 = e0) % 23.31/6.02 | (717) all_0_48_48 = e0 % 23.31/6.02 | % 23.31/6.02 | Equations (717) can reduce 303 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (344) ~ (all_0_51_51 = e1) % 23.31/6.02 | (326) all_0_52_52 = e1 % 23.31/6.02 | % 23.31/6.02 | Combining equations (938,326) yields a new equation: % 23.31/6.02 | (887) e2 = e1 % 23.31/6.02 | % 23.31/6.02 | Simplifying 887 yields: % 23.31/6.02 | (544) e2 = e1 % 23.31/6.02 | % 23.31/6.02 | Equations (544) can reduce 134 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (905) ~ (all_0_57_57 = e3) % 23.31/6.02 | (906) all_0_59_59 = e3 | all_0_60_60 = e3 % 23.31/6.02 | % 23.31/6.02 +-Applying beta-rule and splitting (906), into two cases. % 23.31/6.02 |-Branch one: % 23.31/6.02 | (907) all_0_59_59 = e3 % 23.31/6.02 | % 23.31/6.02 | Combining equations (886,907) yields a new equation: % 23.31/6.02 | (567) e3 = e2 % 23.31/6.02 | % 23.31/6.02 | Equations (567) can reduce 213 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (910) ~ (all_0_59_59 = e3) % 23.31/6.02 | (911) all_0_60_60 = e3 % 23.31/6.02 | % 23.31/6.02 | Combining equations (911,300) yields a new equation: % 23.31/6.02 | (654) e3 = e0 % 23.31/6.02 | % 23.31/6.02 | Simplifying 654 yields: % 23.31/6.02 | (534) e3 = e0 % 23.31/6.02 | % 23.31/6.02 | Equations (534) can reduce 84 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (279) ~ (all_0_56_56 = e1) % 23.31/6.02 | (317) all_0_57_57 = e1 | all_0_58_58 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 23.31/6.02 | % 23.31/6.02 +-Applying beta-rule and splitting (61), into two cases. % 23.31/6.02 |-Branch one: % 23.31/6.02 | (1299) all_0_44_44 = e1 % 23.31/6.02 | % 23.31/6.02 | Equations (1299) can reduce 273 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (273) ~ (all_0_44_44 = e1) % 23.31/6.02 | (4290) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_56_56 = e1 % 23.31/6.02 | % 23.31/6.02 +-Applying beta-rule and splitting (4290), into two cases. % 23.31/6.02 |-Branch one: % 23.31/6.02 | (457) all_0_49_49 = e1 % 23.31/6.02 | % 23.31/6.02 | Equations (457) can reduce 82 to: % 23.31/6.02 | (2227) ~ (all_0_51_51 = e1) % 23.31/6.02 | % 23.31/6.02 | Simplifying 2227 yields: % 23.31/6.02 | (344) ~ (all_0_51_51 = e1) % 23.31/6.02 | % 23.31/6.02 | Equations (457) can reduce 86 to: % 23.31/6.02 | (263) ~ (e2 = e1) % 23.31/6.02 | % 23.31/6.02 | Simplifying 263 yields: % 23.31/6.02 | (134) ~ (e2 = e1) % 23.31/6.02 | % 23.31/6.02 +-Applying beta-rule and splitting (201), into two cases. % 23.31/6.02 |-Branch one: % 23.31/6.02 | (1704) all_0_51_51 = e1 % 23.31/6.02 | % 23.31/6.02 | Equations (1704) can reduce 344 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (344) ~ (all_0_51_51 = e1) % 23.31/6.02 | (1707) all_0_51_51 = e2 | all_0_51_51 = e0 % 23.31/6.02 | % 23.31/6.02 +-Applying beta-rule and splitting (317), into two cases. % 23.31/6.02 |-Branch one: % 23.31/6.02 | (322) all_0_57_57 = e1 % 23.31/6.02 | % 23.31/6.02 | Equations (322) can reduce 294 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (294) ~ (all_0_57_57 = e1) % 23.31/6.02 | (325) all_0_58_58 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 23.31/6.02 | % 23.31/6.02 +-Applying beta-rule and splitting (1707), into two cases. % 23.31/6.02 |-Branch one: % 23.31/6.02 | (1730) all_0_51_51 = e0 % 23.31/6.02 | % 23.31/6.02 | Equations (1730) can reduce 344 to: % 23.31/6.02 | (526) ~ (e1 = e0) % 23.31/6.02 | % 23.31/6.02 | Simplifying 526 yields: % 23.31/6.02 | (231) ~ (e1 = e0) % 23.31/6.02 | % 23.31/6.02 +-Applying beta-rule and splitting (325), into two cases. % 23.31/6.02 |-Branch one: % 23.31/6.02 | (337) all_0_58_58 = e1 % 23.31/6.02 | % 23.31/6.02 | Combining equations (413,337) yields a new equation: % 23.31/6.02 | (598) e4 = e1 % 23.31/6.02 | % 23.31/6.02 | Simplifying 598 yields: % 23.31/6.02 | (535) e4 = e1 % 23.31/6.02 | % 23.31/6.02 | Equations (535) can reduce 115 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (262) ~ (all_0_58_58 = e1) % 23.31/6.02 | (340) all_0_59_59 = e1 | all_0_60_60 = e1 % 23.31/6.02 | % 23.31/6.02 +-Applying beta-rule and splitting (340), into two cases. % 23.31/6.02 |-Branch one: % 23.31/6.02 | (341) all_0_59_59 = e1 % 23.31/6.02 | % 23.31/6.02 | Combining equations (341,886) yields a new equation: % 23.31/6.02 | (544) e2 = e1 % 23.31/6.02 | % 23.31/6.02 | Equations (544) can reduce 134 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (2156) ~ (all_0_59_59 = e1) % 23.31/6.02 | (2157) all_0_60_60 = e1 % 23.31/6.02 | % 23.31/6.02 | Combining equations (300,2157) yields a new equation: % 23.31/6.02 | (297) e1 = e0 % 23.31/6.02 | % 23.31/6.02 | Equations (297) can reduce 231 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (1871) ~ (all_0_51_51 = e0) % 23.31/6.02 | (396) all_0_51_51 = e2 % 23.31/6.02 | % 23.31/6.02 | Equations (396) can reduce 885 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (329) ~ (all_0_49_49 = e1) % 23.31/6.02 | (4324) all_0_53_53 = e1 | all_0_56_56 = e1 % 23.31/6.02 | % 23.31/6.02 +-Applying beta-rule and splitting (239), into two cases. % 23.31/6.02 |-Branch one: % 23.31/6.02 | (322) all_0_57_57 = e1 % 23.31/6.02 | % 23.31/6.02 | Equations (322) can reduce 294 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (294) ~ (all_0_57_57 = e1) % 23.31/6.02 | (2344) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e2 | all_0_57_57 = e0 % 23.31/6.02 | % 23.31/6.02 +-Applying beta-rule and splitting (2344), into two cases. % 23.31/6.02 |-Branch one: % 23.31/6.02 | (1242) all_0_57_57 = e0 % 23.31/6.02 | % 23.31/6.02 | Equations (1242) can reduce 307 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (307) ~ (all_0_57_57 = e0) % 23.31/6.02 | (2348) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e2 % 23.31/6.02 | % 23.31/6.02 +-Applying beta-rule and splitting (2348), into two cases. % 23.31/6.02 |-Branch one: % 23.31/6.02 | (902) all_0_57_57 = e3 % 23.31/6.02 | % 23.31/6.02 | Equations (902) can reduce 294 to: % 23.31/6.02 | (214) ~ (e3 = e1) % 23.31/6.02 | % 23.31/6.02 +-Applying beta-rule and splitting (4324), into two cases. % 23.31/6.02 |-Branch one: % 23.31/6.02 | (272) all_0_53_53 = e1 % 23.31/6.02 | % 23.31/6.02 | Combining equations (419,272) yields a new equation: % 23.31/6.02 | (1084) e3 = e1 % 23.31/6.02 | % 23.31/6.02 | Simplifying 1084 yields: % 23.31/6.02 | (420) e3 = e1 % 23.31/6.02 | % 23.31/6.02 | Equations (420) can reduce 214 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (3699) ~ (all_0_53_53 = e1) % 23.31/6.02 | (314) all_0_56_56 = e1 % 23.31/6.02 | % 23.31/6.02 | Equations (314) can reduce 279 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (905) ~ (all_0_57_57 = e3) % 23.31/6.02 | (2500) all_0_57_57 = e4 | all_0_57_57 = e2 % 23.31/6.02 | % 23.31/6.02 +-Applying beta-rule and splitting (2500), into two cases. % 23.31/6.02 |-Branch one: % 23.31/6.02 | (407) all_0_57_57 = e4 % 23.31/6.02 | % 23.31/6.02 | Equations (407) can reduce 411 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (411) ~ (all_0_57_57 = e4) % 23.31/6.02 | (372) all_0_57_57 = e2 % 23.31/6.02 | % 23.31/6.02 | Equations (372) can reduce 922 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (880) ~ (all_0_58_58 = e4) % 23.31/6.02 | (955) all_0_58_58 = e2 % 23.31/6.02 | % 23.31/6.02 | Equations (955) can reduce 958 to: % 23.31/6.02 | (298) $false % 23.31/6.02 | % 23.31/6.02 |-The branch is then unsatisfiable % 23.31/6.02 |-Branch two: % 23.31/6.02 | (941) ~ (all_0_52_52 = e2) % 23.31/6.02 | (942) all_0_55_55 = e2 | all_0_60_60 = e2 % 23.31/6.02 | % 23.31/6.02 +-Applying beta-rule and splitting (942), into two cases. % 23.31/6.02 |-Branch one: % 23.31/6.02 | (385) all_0_55_55 = e2 % 23.31/6.02 | % 23.31/6.02 | Combining equations (1029,385) yields a new equation: % 23.31/6.02 | (544) e2 = e1 % 23.31/6.02 | % 23.31/6.03 | Equations (544) can reduce 134 to: % 23.31/6.03 | (298) $false % 23.31/6.03 | % 23.31/6.03 |-The branch is then unsatisfiable % 23.31/6.03 |-Branch two: % 23.31/6.03 | (968) ~ (all_0_55_55 = e2) % 23.31/6.03 | (964) all_0_60_60 = e2 % 23.31/6.03 | % 23.31/6.03 | Combining equations (964,300) yields a new equation: % 23.31/6.03 | (568) e2 = e0 % 23.31/6.03 | % 23.31/6.03 | Simplifying 568 yields: % 23.31/6.03 | (569) e2 = e0 % 23.31/6.03 | % 23.31/6.03 | Equations (569) can reduce 139 to: % 23.31/6.03 | (298) $false % 23.31/6.03 | % 23.31/6.03 |-The branch is then unsatisfiable % 23.31/6.03 |-Branch two: % 23.31/6.03 | (973) ~ (all_0_46_46 = e2) % 23.31/6.03 | (955) all_0_58_58 = e2 % 23.31/6.03 | % 23.31/6.03 | Equations (955) can reduce 236 to: % 23.31/6.03 | (973) ~ (all_0_46_46 = e2) % 23.31/6.03 | % 23.31/6.03 | Equations (955) can reduce 208 to: % 23.31/6.03 | (922) ~ (all_0_57_57 = e2) % 23.31/6.03 | % 23.31/6.03 | Equations (955) can reduce 25 to: % 23.31/6.03 | (2551) ~ (all_0_59_59 = e2) % 23.31/6.03 | % 23.31/6.03 | Simplifying 2551 yields: % 23.31/6.03 | (963) ~ (all_0_59_59 = e2) % 23.31/6.03 | % 23.31/6.03 | Equations (955) can reduce 262 to: % 23.31/6.03 | (134) ~ (e2 = e1) % 23.31/6.03 | % 23.31/6.03 | From (955) and (191) follows: % 23.31/6.03 | (980) op(e2, e2) = all_0_36_36 % 23.31/6.03 | % 23.31/6.03 | From (955) and (145) follows: % 23.31/6.03 | (4370) op(e2, e0) = all_0_35_35 % 23.31/6.03 | % 23.31/6.03 +-Applying beta-rule and splitting (192), into two cases. % 23.31/6.03 |-Branch one: % 23.31/6.03 | (982) all_0_46_46 = e1 % 23.31/6.03 | % 23.31/6.03 | Equations (982) can reduce 260 to: % 23.31/6.03 | (298) $false % 23.31/6.03 | % 23.31/6.03 |-The branch is then unsatisfiable % 23.31/6.03 |-Branch two: % 23.31/6.03 | (260) ~ (all_0_46_46 = e1) % 23.31/6.03 | (985) all_0_46_46 = e4 | all_0_46_46 = e2 % 23.31/6.03 | % 23.31/6.03 +-Applying beta-rule and splitting (985), into two cases. % 23.31/6.03 |-Branch one: % 23.31/6.03 | (933) all_0_46_46 = e4 % 23.31/6.03 | % 23.31/6.03 | Equations (933) can reduce 120 to: % 23.31/6.03 | (610) ~ (all_0_44_44 = e4) % 23.31/6.03 | % 23.31/6.03 | Equations (933) can reduce 179 to: % 23.31/6.03 | (988) ~ (all_0_47_47 = e4) % 23.31/6.03 | % 23.31/6.03 | Simplifying 988 yields: % 23.31/6.03 | (76) ~ (all_0_47_47 = e4) % 23.31/6.03 | % 23.31/6.03 | Equations (933) can reduce 174 to: % 23.31/6.03 | (4379) ~ (all_0_48_48 = e4) % 23.31/6.03 | % 23.31/6.03 | Simplifying 4379 yields: % 23.31/6.03 | (690) ~ (all_0_48_48 = e4) % 23.31/6.03 | % 23.31/6.03 | From (933) and (144) follows: % 23.31/6.03 | (993) op(e4, e2) = all_0_12_12 % 23.31/6.03 | % 23.31/6.03 | From (933) and (13) follows: % 23.31/6.03 | (994) op(e3, e2) = e4 % 23.31/6.03 | % 23.31/6.03 +-Applying beta-rule and splitting (170), into two cases. % 23.31/6.03 |-Branch one: % 23.31/6.03 | (1299) all_0_44_44 = e1 % 23.31/6.03 | % 23.31/6.03 | Equations (1299) can reduce 273 to: % 23.31/6.03 | (298) $false % 23.31/6.03 | % 23.31/6.03 |-The branch is then unsatisfiable % 23.31/6.03 |-Branch two: % 23.31/6.03 | (273) ~ (all_0_44_44 = e1) % 23.31/6.03 | (1302) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e0 % 23.31/6.03 | % 23.31/6.03 +-Applying beta-rule and splitting (1302), into two cases. % 23.31/6.03 |-Branch one: % 23.31/6.03 | (500) all_0_44_44 = e0 % 23.31/6.03 | % 23.31/6.03 | Combining equations (500,3712) yields a new equation: % 23.31/6.03 | (4388) all_0_26_26 = e0 % 23.31/6.03 | % 23.31/6.03 | Equations (500) can reduce 6 to: % 23.31/6.03 | (2181) ~ (all_0_48_48 = e0) % 23.31/6.03 | % 23.31/6.03 | Simplifying 2181 yields: % 23.31/6.03 | (303) ~ (all_0_48_48 = e0) % 23.31/6.03 | % 23.31/6.03 | Equations (500) can reduce 205 to: % 23.31/6.03 | (1996) ~ (all_0_49_49 = e0) % 23.31/6.03 | % 23.31/6.03 | Simplifying 1996 yields: % 23.31/6.03 | (652) ~ (all_0_49_49 = e0) % 23.31/6.03 | % 23.31/6.03 | Equations (500) can reduce 195 to: % 23.31/6.03 | (1073) ~ (all_0_56_56 = e0) % 23.31/6.03 | % 23.31/6.03 | Simplifying 1073 yields: % 23.31/6.03 | (306) ~ (all_0_56_56 = e0) % 23.31/6.03 | % 23.31/6.03 | Equations (500) can reduce 610 to: % 23.31/6.03 | (485) ~ (e4 = e0) % 23.31/6.03 | % 23.31/6.03 | Simplifying 485 yields: % 23.31/6.03 | (47) ~ (e4 = e0) % 23.31/6.03 | % 23.31/6.03 | Equations (500) can reduce 914 to: % 23.31/6.03 | (620) ~ (e3 = e0) % 23.31/6.03 | % 23.31/6.03 | Simplifying 620 yields: % 23.31/6.03 | (84) ~ (e3 = e0) % 23.31/6.03 | % 23.31/6.03 | From (500) and (116) follows: % 23.31/6.03 | (4399) op(e0, e4) = all_0_9_9 % 23.31/6.03 | % 23.31/6.03 | From (500) and (21) follows: % 23.31/6.03 | (1729) op(e0, e3) = all_0_8_8 % 23.31/6.03 | % 23.31/6.03 | From (500) and (124) follows: % 23.31/6.03 | (3882) op(e3, e4) = e0 % 23.31/6.03 | % 23.31/6.03 | Instantiating formula (206) with e4, e2, all_0_12_12, e1 and discharging atoms op(e4, e2) = all_0_12_12, op(e4, e2) = e1, yields: % 23.31/6.03 | (1005) all_0_12_12 = e1 % 23.31/6.03 | % 23.31/6.03 | Instantiating formula (206) with e2, e2, all_0_36_36, e3 and discharging atoms op(e2, e2) = all_0_36_36, op(e2, e2) = e3, yields: % 23.31/6.03 | (1007) all_0_36_36 = e3 % 23.31/6.03 | % 23.31/6.03 | Instantiating formula (206) with e2, e0, all_0_35_35, all_0_52_52 and discharging atoms op(e2, e0) = all_0_35_35, op(e2, e0) = all_0_52_52, yields: % 23.31/6.03 | (4404) all_0_35_35 = all_0_52_52 % 23.31/6.03 | % 23.31/6.03 | Instantiating formula (206) with e0, e4, all_0_9_9, all_0_56_56 and discharging atoms op(e0, e4) = all_0_9_9, op(e0, e4) = all_0_56_56, yields: % 23.31/6.03 | (4405) all_0_9_9 = all_0_56_56 % 23.31/6.03 | % 23.31/6.03 | Instantiating formula (206) with e0, e3, all_0_8_8, all_0_57_57 and discharging atoms op(e0, e3) = all_0_8_8, op(e0, e3) = all_0_57_57, yields: % 23.31/6.03 | (4406) all_0_8_8 = all_0_57_57 % 23.31/6.03 | % 23.31/6.03 | From (1005) and (993) follows: % 23.31/6.03 | (268) op(e4, e2) = e1 % 23.31/6.03 | % 23.31/6.03 | From (1007) and (980) follows: % 23.31/6.03 | (72) op(e2, e2) = e3 % 23.31/6.03 | % 23.31/6.03 | From (4404) and (4370) follows: % 23.31/6.03 | (217) op(e2, e0) = all_0_52_52 % 23.31/6.03 | % 23.31/6.03 | From (4405) and (4399) follows: % 23.31/6.03 | (48) op(e0, e4) = all_0_56_56 % 23.31/6.03 | % 23.31/6.03 | From (4406) and (1729) follows: % 23.31/6.03 | (150) op(e0, e3) = all_0_57_57 % 23.31/6.03 | % 23.31/6.03 +-Applying beta-rule and splitting (105), into two cases. % 23.31/6.03 |-Branch one: % 23.31/6.03 | (457) all_0_49_49 = e1 % 23.31/6.03 | % 23.31/6.03 | Equations (457) can reduce 189 to: % 23.31/6.03 | (3721) ~ (all_0_50_50 = e1) % 23.31/6.03 | % 23.31/6.03 | Simplifying 3721 yields: % 23.31/6.03 | (330) ~ (all_0_50_50 = e1) % 23.31/6.03 | % 23.31/6.03 | Equations (457) can reduce 44 to: % 23.31/6.03 | (2229) ~ (all_0_52_52 = e1) % 23.31/6.03 | % 23.31/6.03 | Simplifying 2229 yields: % 23.31/6.03 | (2161) ~ (all_0_52_52 = e1) % 23.31/6.03 | % 23.31/6.03 | Equations (457) can reduce 106 to: % 23.31/6.03 | (278) ~ (all_0_56_56 = e1) % 23.31/6.03 | % 23.31/6.03 | Simplifying 278 yields: % 23.31/6.03 | (279) ~ (all_0_56_56 = e1) % 23.31/6.03 | % 23.31/6.03 | Equations (457) can reduce 111 to: % 23.31/6.03 | (333) ~ (e3 = e1) % 23.31/6.03 | % 23.31/6.03 | Simplifying 333 yields: % 23.31/6.03 | (214) ~ (e3 = e1) % 23.31/6.03 | % 23.31/6.03 | Equations (457) can reduce 86 to: % 23.31/6.03 | (263) ~ (e2 = e1) % 23.31/6.03 | % 23.31/6.03 | Simplifying 263 yields: % 23.31/6.03 | (134) ~ (e2 = e1) % 23.31/6.03 | % 23.31/6.03 | Equations (457) can reduce 652 to: % 23.31/6.03 | (231) ~ (e1 = e0) % 23.31/6.03 | % 23.31/6.03 | From (457) and (148) follows: % 23.31/6.03 | (4424) op(e1, e4) = all_0_18_18 % 23.31/6.03 | % 23.31/6.03 | From (457) and (110) follows: % 23.31/6.03 | (4425) op(e2, e4) = e1 % 23.31/6.03 | % 23.31/6.03 +-Applying beta-rule and splitting (70), into two cases. % 23.31/6.03 |-Branch one: % 23.31/6.03 | (314) all_0_56_56 = e1 % 23.31/6.03 | % 23.31/6.03 | Equations (314) can reduce 279 to: % 23.31/6.03 | (298) $false % 23.31/6.03 | % 23.31/6.03 |-The branch is then unsatisfiable % 23.31/6.03 |-Branch two: % 23.31/6.03 | (279) ~ (all_0_56_56 = e1) % 23.31/6.03 | (1499) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0 % 23.31/6.03 | % 23.31/6.03 +-Applying beta-rule and splitting (93), into two cases. % 23.31/6.03 |-Branch one: % 23.31/6.03 | (314) all_0_56_56 = e1 % 23.31/6.03 | % 23.31/6.03 | Equations (314) can reduce 279 to: % 23.31/6.03 | (298) $false % 23.31/6.03 | % 23.31/6.03 |-The branch is then unsatisfiable % 23.31/6.03 |-Branch two: % 23.31/6.03 | (279) ~ (all_0_56_56 = e1) % 23.31/6.03 | (317) all_0_57_57 = e1 | all_0_58_58 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 23.31/6.03 | % 23.31/6.03 +-Applying beta-rule and splitting (317), into two cases. % 23.31/6.03 |-Branch one: % 23.31/6.03 | (322) all_0_57_57 = e1 % 23.31/6.03 | % 23.31/6.03 | Equations (322) can reduce 294 to: % 23.31/6.03 | (298) $false % 23.31/6.03 | % 23.31/6.03 |-The branch is then unsatisfiable % 23.31/6.03 |-Branch two: % 23.31/6.03 | (294) ~ (all_0_57_57 = e1) % 23.31/6.03 | (325) all_0_58_58 = e1 | all_0_59_59 = e1 | all_0_60_60 = e1 % 23.31/6.03 | % 23.31/6.03 +-Applying beta-rule and splitting (325), into two cases. % 23.31/6.03 |-Branch one: % 23.31/6.03 | (337) all_0_58_58 = e1 % 23.31/6.03 | % 23.31/6.03 | Combining equations (955,337) yields a new equation: % 23.31/6.03 | (887) e2 = e1 % 23.31/6.03 | % 23.31/6.03 | Simplifying 887 yields: % 23.31/6.03 | (544) e2 = e1 % 23.31/6.03 | % 23.31/6.03 | Equations (544) can reduce 134 to: % 23.31/6.03 | (298) $false % 23.31/6.03 | % 23.31/6.03 |-The branch is then unsatisfiable % 23.31/6.03 |-Branch two: % 23.31/6.03 | (262) ~ (all_0_58_58 = e1) % 23.31/6.03 | (340) all_0_59_59 = e1 | all_0_60_60 = e1 % 23.31/6.03 | % 23.31/6.03 +-Applying beta-rule and splitting (340), into two cases. % 23.31/6.03 |-Branch one: % 23.31/6.03 | (341) all_0_59_59 = e1 % 23.31/6.03 | % 23.31/6.03 | Equations (341) can reduce 118 to: % 23.31/6.03 | (256) ~ (all_0_42_42 = e1) % 23.31/6.03 | % 23.31/6.03 | Equations (341) can reduce 73 to: % 23.31/6.03 | (344) ~ (all_0_51_51 = e1) % 23.31/6.03 | % 23.31/6.03 | Equations (341) can reduce 99 to: % 23.31/6.03 | (279) ~ (all_0_56_56 = e1) % 23.31/6.03 | % 23.31/6.03 | Equations (341) can reduce 123 to: % 23.31/6.03 | (347) ~ (e4 = e1) % 23.31/6.03 | % 23.31/6.03 | Simplifying 347 yields: % 23.31/6.03 | (115) ~ (e4 = e1) % 23.31/6.03 | % 23.31/6.03 | From (341) and (121) follows: % 23.31/6.03 | (350) op(e1, e1) = all_0_38_38 % 23.31/6.03 | % 23.31/6.03 +-Applying beta-rule and splitting (1499), into two cases. % 23.31/6.03 |-Branch one: % 23.31/6.03 | (653) all_0_56_56 = e0 % 23.31/6.03 | % 23.31/6.03 | Equations (653) can reduce 306 to: % 23.31/6.03 | (298) $false % 23.31/6.03 | % 23.31/6.03 |-The branch is then unsatisfiable % 23.31/6.03 |-Branch two: % 23.31/6.03 | (306) ~ (all_0_56_56 = e0) % 23.31/6.03 | (1503) all_0_56_56 = e4 | all_0_56_56 = e3 % 23.31/6.03 | % 23.31/6.03 +-Applying beta-rule and splitting (63), into two cases. % 23.31/6.03 |-Branch one: % 23.31/6.03 | (495) all_0_44_44 = e4 % 23.31/6.03 | % 23.31/6.03 | Combining equations (500,495) yields a new equation: % 23.31/6.03 | (481) e4 = e0 % 23.31/6.03 | % 23.31/6.03 | Equations (481) can reduce 47 to: % 23.31/6.03 | (298) $false % 23.31/6.03 | % 23.31/6.03 |-The branch is then unsatisfiable % 23.31/6.03 |-Branch two: % 23.31/6.03 | (610) ~ (all_0_44_44 = e4) % 23.31/6.03 | (615) all_0_49_49 = e4 | all_0_56_56 = e4 % 23.31/6.03 | % 23.31/6.03 +-Applying beta-rule and splitting (96), into two cases. % 23.31/6.03 |-Branch one: % 23.31/6.03 | (376) all_0_56_56 = e3 % 23.31/6.03 | % 23.31/6.03 | Equations (376) can reduce 890 to: % 23.31/6.03 | (298) $false % 23.31/6.03 | % 23.31/6.03 |-The branch is then unsatisfiable % 23.31/6.03 |-Branch two: % 23.31/6.03 | (890) ~ (all_0_56_56 = e3) % 23.31/6.03 | (891) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 23.31/6.03 | % 23.31/6.03 +-Applying beta-rule and splitting (891), into two cases. % 23.31/6.03 |-Branch one: % 23.31/6.03 | (902) all_0_57_57 = e3 % 23.31/6.03 | % 23.31/6.03 | Equations (902) can reduce 64 to: % 23.31/6.03 | (425) ~ (all_0_40_40 = e3) % 23.31/6.03 | % 23.31/6.03 | Equations (902) can reduce 307 to: % 23.31/6.03 | (84) ~ (e3 = e0) % 23.31/6.03 | % 23.31/6.03 | From (902) and (30) follows: % 23.31/6.03 | (4467) op(e3, e3) = all_0_34_34 % 23.31/6.03 | % 23.31/6.03 +-Applying beta-rule and splitting (615), into two cases. % 23.31/6.03 |-Branch one: % 23.31/6.03 | (506) all_0_49_49 = e4 % 23.31/6.03 | % 23.31/6.03 | Combining equations (457,506) yields a new equation: % 23.31/6.03 | (535) e4 = e1 % 23.31/6.03 | % 23.31/6.03 | Equations (535) can reduce 115 to: % 23.31/6.03 | (298) $false % 23.31/6.03 | % 23.31/6.03 |-The branch is then unsatisfiable % 23.31/6.03 |-Branch two: % 23.31/6.03 | (497) ~ (all_0_49_49 = e4) % 23.31/6.03 | (390) all_0_56_56 = e4 % 23.31/6.03 | % 23.31/6.04 | Combining equations (390,4405) yields a new equation: % 23.31/6.04 | (4473) all_0_9_9 = e4 % 23.31/6.04 | % 23.31/6.04 | Equations (390) can reduce 279 to: % 23.31/6.04 | (115) ~ (e4 = e1) % 23.31/6.04 | % 23.31/6.04 | Equations (390) can reduce 306 to: % 23.31/6.04 | (47) ~ (e4 = e0) % 23.31/6.04 | % 23.31/6.04 | From (390) and (229) follows: % 23.31/6.04 | (4476) op(e4, e4) = all_0_32_32 % 23.31/6.04 | % 23.31/6.04 | From (390) and (58) follows: % 23.31/6.04 | (4477) op(e4, e0) = all_0_31_31 % 23.31/6.04 | % 23.31/6.04 | From (390) and (48) follows: % 23.31/6.04 | (1387) op(e0, e4) = e4 % 23.31/6.04 | % 23.31/6.04 | Instantiating formula (206) with e4, e4, all_0_32_32, e2 and discharging atoms op(e4, e4) = all_0_32_32, op(e4, e4) = e2, yields: % 23.31/6.04 | (4479) all_0_32_32 = e2 % 23.31/6.04 | % 23.31/6.04 | Instantiating formula (206) with e4, e0, all_0_31_31, all_0_43_43 and discharging atoms op(e4, e0) = all_0_31_31, op(e4, e0) = all_0_43_43, yields: % 23.31/6.04 | (4480) all_0_31_31 = all_0_43_43 % 23.31/6.04 | % 23.31/6.04 | Instantiating formula (206) with e3, e3, all_0_34_34, e1 and discharging atoms op(e3, e3) = all_0_34_34, op(e3, e3) = e1, yields: % 23.31/6.04 | (3257) all_0_34_34 = e1 % 23.31/6.04 | % 23.31/6.04 | Instantiating formula (206) with e1, e4, all_0_18_18, e3 and discharging atoms op(e1, e4) = all_0_18_18, op(e1, e4) = e3, yields: % 23.31/6.04 | (4482) all_0_18_18 = e3 % 23.31/6.04 | % 23.31/6.04 | Instantiating formula (206) with e1, e1, all_0_38_38, e4 and discharging atoms op(e1, e1) = all_0_38_38, op(e1, e1) = e4, yields: % 23.31/6.04 | (352) all_0_38_38 = e4 % 23.31/6.04 | % 23.31/6.04 | From (4479) and (4476) follows: % 23.31/6.04 | (187) op(e4, e4) = e2 % 23.31/6.04 | % 23.31/6.04 | From (4480) and (4477) follows: % 23.31/6.04 | (34) op(e4, e0) = all_0_43_43 % 23.31/6.04 | % 23.31/6.04 | From (4482) and (4424) follows: % 23.31/6.04 | (3711) op(e1, e4) = e3 % 23.31/6.04 | % 23.31/6.04 | From (352) and (350) follows: % 23.31/6.04 | (227) op(e1, e1) = e4 % 23.31/6.04 | % 23.31/6.04 +-Applying beta-rule and splitting (92), into two cases. % 23.31/6.04 |-Branch one: % 23.31/6.04 | (453) all_0_42_42 = e1 % 23.31/6.04 | % 23.31/6.04 | Equations (453) can reduce 256 to: % 23.31/6.04 | (298) $false % 23.31/6.04 | % 23.31/6.04 |-The branch is then unsatisfiable % 23.31/6.04 |-Branch two: % 23.31/6.04 | (256) ~ (all_0_42_42 = e1) % 23.31/6.04 | (456) all_0_42_42 = e3 | all_0_42_42 = e0 % 23.31/6.04 | % 23.31/6.04 +-Applying beta-rule and splitting (201), into two cases. % 23.31/6.04 |-Branch one: % 23.31/6.04 | (1704) all_0_51_51 = e1 % 23.31/6.04 | % 23.31/6.04 | Equations (1704) can reduce 344 to: % 23.31/6.04 | (298) $false % 23.31/6.04 | % 23.31/6.04 |-The branch is then unsatisfiable % 23.31/6.04 |-Branch two: % 23.31/6.04 | (344) ~ (all_0_51_51 = e1) % 23.31/6.04 | (1707) all_0_51_51 = e2 | all_0_51_51 = e0 % 23.31/6.04 | % 23.31/6.04 +-Applying beta-rule and splitting (212), into two cases. % 23.31/6.04 |-Branch one: % 23.31/6.04 | (461) all_0_40_40 = e0 % 23.31/6.04 | % 23.31/6.04 | Equations (461) can reduce 204 to: % 23.31/6.04 | (462) ~ (all_0_42_42 = e0) % 23.31/6.04 | % 23.31/6.04 | Simplifying 462 yields: % 23.31/6.04 | (463) ~ (all_0_42_42 = e0) % 23.31/6.04 | % 23.31/6.04 | Equations (461) can reduce 75 to: % 23.31/6.04 | (660) ~ (all_0_50_50 = e0) % 23.31/6.04 | % 23.31/6.04 | Simplifying 660 yields: % 23.31/6.04 | (661) ~ (all_0_50_50 = e0) % 23.31/6.04 | % 23.31/6.04 | Equations (461) can reduce 246 to: % 23.31/6.04 | (782) ~ (e2 = e0) % 23.31/6.04 | % 23.31/6.04 | Simplifying 782 yields: % 23.31/6.04 | (139) ~ (e2 = e0) % 23.31/6.04 | % 23.31/6.04 | Equations (461) can reduce 254 to: % 23.31/6.04 | (526) ~ (e1 = e0) % 23.31/6.04 | % 23.31/6.04 | Simplifying 526 yields: % 23.31/6.04 | (231) ~ (e1 = e0) % 23.31/6.04 | % 23.31/6.04 +-Applying beta-rule and splitting (101), into two cases. % 23.31/6.04 |-Branch one: % 23.31/6.04 | (466) all_0_42_42 = e0 % 23.31/6.04 | % 23.31/6.04 | Equations (466) can reduce 463 to: % 23.31/6.04 | (298) $false % 23.31/6.04 | % 23.31/6.04 |-The branch is then unsatisfiable % 23.31/6.04 |-Branch two: % 23.31/6.04 | (463) ~ (all_0_42_42 = e0) % 23.31/6.04 | (841) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_59_59 = e0 % 23.31/6.04 | % 23.31/6.04 +-Applying beta-rule and splitting (125), into two cases. % 23.31/6.04 |-Branch one: % 23.31/6.04 | (479) all_0_40_40 = e4 % 23.31/6.04 | % 23.31/6.04 | Combining equations (461,479) yields a new equation: % 23.31/6.04 | (481) e4 = e0 % 23.31/6.04 | % 23.31/6.04 | Equations (481) can reduce 47 to: % 23.31/6.04 | (298) $false % 23.31/6.04 | % 23.31/6.04 |-The branch is then unsatisfiable % 23.31/6.04 |-Branch two: % 23.31/6.04 | (483) ~ (all_0_40_40 = e4) % 23.31/6.04 | (484) all_0_45_45 = e4 | all_0_50_50 = e4 | all_0_57_57 = e4 % 23.31/6.04 | % 23.31/6.04 | Equations (461) can reduce 483 to: % 23.31/6.04 | (485) ~ (e4 = e0) % 23.31/6.04 | % 23.31/6.04 | Simplifying 485 yields: % 23.31/6.04 | (47) ~ (e4 = e0) % 23.31/6.04 | % 23.31/6.04 +-Applying beta-rule and splitting (129), into two cases. % 23.31/6.04 |-Branch one: % 23.31/6.04 | (637) all_0_49_49 = e0 % 23.31/6.04 | % 23.31/6.04 | Combining equations (457,637) yields a new equation: % 23.31/6.04 | (296) e1 = e0 % 23.31/6.04 | % 23.31/6.04 | Simplifying 296 yields: % 23.31/6.04 | (297) e1 = e0 % 23.31/6.04 | % 23.31/6.04 | Equations (297) can reduce 231 to: % 23.31/6.04 | (298) $false % 23.31/6.04 | % 23.31/6.04 |-The branch is then unsatisfiable % 23.31/6.04 |-Branch two: % 23.31/6.04 | (652) ~ (all_0_49_49 = e0) % 23.31/6.04 | (682) all_0_50_50 = e0 | all_0_51_51 = e0 | all_0_52_52 = e0 % 23.31/6.04 | % 23.31/6.04 +-Applying beta-rule and splitting (160), into two cases. % 23.31/6.04 |-Branch one: % 23.31/6.04 | (771) all_0_50_50 = e1 % 23.31/6.04 | % 23.31/6.04 | Equations (771) can reduce 330 to: % 23.31/6.04 | (298) $false % 23.31/6.04 | % 23.31/6.04 |-The branch is then unsatisfiable % 23.31/6.04 |-Branch two: % 23.31/6.04 | (330) ~ (all_0_50_50 = e1) % 23.31/6.04 | (774) all_0_50_50 = e4 | all_0_50_50 = e2 | all_0_50_50 = e0 % 23.31/6.04 | % 23.31/6.04 +-Applying beta-rule and splitting (484), into two cases. % 23.31/6.04 |-Branch one: % 23.31/6.04 | (1221) all_0_45_45 = e4 % 23.31/6.04 | % 23.31/6.04 | Combining equations (284,1221) yields a new equation: % 23.31/6.04 | (535) e4 = e1 % 23.31/6.04 | % 23.31/6.04 | Equations (535) can reduce 115 to: % 23.31/6.04 | (298) $false % 23.31/6.04 | % 23.31/6.04 |-The branch is then unsatisfiable % 23.31/6.04 |-Branch two: % 23.31/6.04 | (1224) ~ (all_0_45_45 = e4) % 23.31/6.04 | (1225) all_0_50_50 = e4 | all_0_57_57 = e4 % 23.31/6.04 | % 23.31/6.04 | Equations (284) can reduce 1224 to: % 23.31/6.04 | (347) ~ (e4 = e1) % 23.31/6.04 | % 23.31/6.04 | Simplifying 347 yields: % 23.31/6.04 | (115) ~ (e4 = e1) % 23.31/6.04 | % 23.31/6.04 +-Applying beta-rule and splitting (456), into two cases. % 23.31/6.04 |-Branch one: % 23.31/6.04 | (466) all_0_42_42 = e0 % 23.31/6.04 | % 23.31/6.04 | Equations (466) can reduce 463 to: % 23.31/6.04 | (298) $false % 23.31/6.04 | % 23.31/6.04 |-The branch is then unsatisfiable % 23.31/6.04 |-Branch two: % 23.31/6.04 | (463) ~ (all_0_42_42 = e0) % 23.31/6.04 | (469) all_0_42_42 = e3 % 23.31/6.04 | % 23.31/6.04 | Equations (469) can reduce 20 to: % 23.31/6.04 | (470) ~ (all_0_43_43 = e3) % 23.31/6.04 | % 23.31/6.04 | Simplifying 470 yields: % 23.31/6.04 | (471) ~ (all_0_43_43 = e3) % 23.31/6.04 | % 23.31/6.04 +-Applying beta-rule and splitting (216), into two cases. % 23.31/6.04 |-Branch one: % 23.31/6.04 | (479) all_0_40_40 = e4 % 23.31/6.04 | % 23.31/6.04 | Combining equations (461,479) yields a new equation: % 23.31/6.04 | (481) e4 = e0 % 23.31/6.04 | % 23.31/6.04 | Equations (481) can reduce 47 to: % 23.31/6.04 | (298) $false % 23.31/6.04 | % 23.31/6.04 |-The branch is then unsatisfiable % 23.31/6.04 |-Branch two: % 23.31/6.04 | (483) ~ (all_0_40_40 = e4) % 23.31/6.04 | (515) all_0_41_41 = e4 | all_0_43_43 = e4 % 23.31/6.04 | % 23.31/6.04 +-Applying beta-rule and splitting (515), into two cases. % 23.31/6.04 |-Branch one: % 23.31/6.04 | (603) all_0_41_41 = e4 % 23.31/6.04 | % 23.31/6.04 | Combining equations (253,603) yields a new equation: % 23.31/6.04 | (535) e4 = e1 % 23.31/6.04 | % 23.31/6.04 | Equations (535) can reduce 115 to: % 23.31/6.04 | (298) $false % 23.31/6.04 | % 23.31/6.04 |-The branch is then unsatisfiable % 23.31/6.04 |-Branch two: % 23.31/6.04 | (607) ~ (all_0_41_41 = e4) % 23.31/6.04 | (520) all_0_43_43 = e4 % 23.31/6.04 | % 23.31/6.04 | Equations (520) can reduce 16 to: % 23.31/6.04 | (4379) ~ (all_0_48_48 = e4) % 23.31/6.04 | % 23.31/6.04 | Simplifying 4379 yields: % 23.31/6.04 | (690) ~ (all_0_48_48 = e4) % 23.31/6.04 | % 23.31/6.04 | Equations (520) can reduce 471 to: % 23.31/6.04 | (184) ~ (e4 = e3) % 23.31/6.04 | % 23.31/6.04 +-Applying beta-rule and splitting (682), into two cases. % 23.31/6.04 |-Branch one: % 23.31/6.04 | (781) all_0_50_50 = e0 % 23.31/6.04 | % 23.31/6.04 | Equations (781) can reduce 661 to: % 23.31/6.04 | (298) $false % 23.31/6.04 | % 23.31/6.04 |-The branch is then unsatisfiable % 23.31/6.04 |-Branch two: % 23.31/6.04 | (661) ~ (all_0_50_50 = e0) % 23.31/6.04 | (2072) all_0_51_51 = e0 | all_0_52_52 = e0 % 23.31/6.04 | % 23.31/6.04 +-Applying beta-rule and splitting (2072), into two cases. % 23.31/6.04 |-Branch one: % 23.31/6.04 | (1730) all_0_51_51 = e0 % 23.31/6.04 | % 23.31/6.04 | Equations (1730) can reduce 171 to: % 23.31/6.04 | (589) ~ (all_0_47_47 = e0) % 23.31/6.04 | % 23.31/6.04 | Equations (1730) can reduce 157 to: % 23.31/6.04 | (661) ~ (all_0_50_50 = e0) % 23.31/6.04 | % 23.31/6.04 | Equations (1730) can reduce 22 to: % 23.31/6.04 | (4559) ~ (all_0_52_52 = e0) % 23.31/6.04 | % 23.31/6.04 | Simplifying 4559 yields: % 23.31/6.04 | (304) ~ (all_0_52_52 = e0) % 23.31/6.04 | % 23.31/6.04 | Equations (1730) can reduce 344 to: % 23.31/6.04 | (526) ~ (e1 = e0) % 23.31/6.04 | % 23.31/6.04 | Simplifying 526 yields: % 23.31/6.04 | (231) ~ (e1 = e0) % 23.31/6.04 | % 23.31/6.04 +-Applying beta-rule and splitting (103), into two cases. % 23.31/6.04 |-Branch one: % 23.31/6.04 | (838) all_0_50_50 = e2 % 23.31/6.04 | % 23.31/6.04 | Equations (838) can reduce 398 to: % 23.31/6.04 | (298) $false % 23.31/6.04 | % 23.31/6.04 |-The branch is then unsatisfiable % 23.31/6.04 |-Branch two: % 23.31/6.04 | (398) ~ (all_0_50_50 = e2) % 23.31/6.04 | (1906) all_0_51_51 = e2 | all_0_52_52 = e2 % 23.31/6.04 | % 23.31/6.04 +-Applying beta-rule and splitting (32), into two cases. % 23.31/6.04 |-Branch one: % 23.31/6.04 | (368) all_0_47_47 = e2 % 23.31/6.04 | % 23.31/6.04 | Equations (368) can reduce 589 to: % 23.31/6.04 | (139) ~ (e2 = e0) % 23.31/6.04 | % 23.31/6.04 +-Applying beta-rule and splitting (133), into two cases. % 23.31/6.04 |-Branch one: % 23.31/6.04 | (326) all_0_52_52 = e1 % 23.31/6.04 | % 23.31/6.04 | Equations (326) can reduce 2161 to: % 23.31/6.04 | (298) $false % 23.31/6.04 | % 23.31/6.04 |-The branch is then unsatisfiable % 23.31/6.04 |-Branch two: % 23.31/6.04 | (2161) ~ (all_0_52_52 = e1) % 23.31/6.04 | (2880) all_0_52_52 = e4 | all_0_52_52 = e2 | all_0_52_52 = e0 % 23.31/6.04 | % 23.31/6.04 +-Applying beta-rule and splitting (68), into two cases. % 23.31/6.04 |-Branch one: % 23.31/6.04 | (475) all_0_43_43 = e3 % 23.31/6.04 | % 23.31/6.04 | Combining equations (520,475) yields a new equation: % 23.31/6.04 | (391) e4 = e3 % 23.31/6.04 | % 23.31/6.04 | Simplifying 391 yields: % 23.31/6.04 | (392) e4 = e3 % 23.31/6.04 | % 23.31/6.04 | Equations (392) can reduce 184 to: % 23.31/6.04 | (298) $false % 23.31/6.04 | % 23.31/6.04 |-The branch is then unsatisfiable % 23.31/6.04 |-Branch two: % 23.31/6.04 | (471) ~ (all_0_43_43 = e3) % 23.45/6.04 | (478) all_0_48_48 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 23.45/6.04 | % 23.45/6.04 | Equations (520) can reduce 471 to: % 23.45/6.04 | (184) ~ (e4 = e3) % 23.45/6.04 | % 23.45/6.04 +-Applying beta-rule and splitting (774), into two cases. % 23.45/6.04 |-Branch one: % 23.45/6.04 | (781) all_0_50_50 = e0 % 23.45/6.04 | % 23.45/6.04 | Equations (781) can reduce 661 to: % 23.45/6.04 | (298) $false % 23.45/6.04 | % 23.45/6.04 |-The branch is then unsatisfiable % 23.45/6.04 |-Branch two: % 23.45/6.04 | (661) ~ (all_0_50_50 = e0) % 23.45/6.04 | (834) all_0_50_50 = e4 | all_0_50_50 = e2 % 23.45/6.04 | % 23.45/6.04 +-Applying beta-rule and splitting (8), into two cases. % 23.45/6.04 |-Branch one: % 23.45/6.04 | (318) all_0_48_48 = e1 % 23.45/6.04 | % 23.45/6.04 | Equations (318) can reduce 290 to: % 23.45/6.04 | (298) $false % 23.45/6.04 | % 23.45/6.04 |-The branch is then unsatisfiable % 23.45/6.04 |-Branch two: % 23.45/6.04 | (290) ~ (all_0_48_48 = e1) % 23.45/6.04 | (716) all_0_48_48 = e4 | all_0_48_48 = e3 | all_0_48_48 = e2 | all_0_48_48 = e0 % 23.45/6.04 | % 23.45/6.04 +-Applying beta-rule and splitting (1225), into two cases. % 23.45/6.04 |-Branch one: % 23.45/6.04 | (523) all_0_50_50 = e4 % 23.45/6.04 | % 23.45/6.04 | Combining equations (523,1056) yields a new equation: % 23.45/6.04 | (4589) all_0_28_28 = e4 % 23.45/6.04 | % 23.45/6.04 | Equations (523) can reduce 330 to: % 23.45/6.04 | (115) ~ (e4 = e1) % 23.45/6.04 | % 23.45/6.04 | Equations (523) can reduce 661 to: % 23.45/6.04 | (47) ~ (e4 = e0) % 23.45/6.04 | % 23.45/6.04 +-Applying beta-rule and splitting (1906), into two cases. % 23.45/6.04 |-Branch one: % 23.45/6.04 | (396) all_0_51_51 = e2 % 23.45/6.04 | % 23.45/6.04 | Combining equations (396,1730) yields a new equation: % 23.45/6.04 | (568) e2 = e0 % 23.45/6.04 | % 23.45/6.04 | Simplifying 568 yields: % 23.45/6.04 | (569) e2 = e0 % 23.45/6.04 | % 23.45/6.04 | Equations (569) can reduce 139 to: % 23.45/6.04 | (298) $false % 23.45/6.04 | % 23.45/6.04 |-The branch is then unsatisfiable % 23.45/6.04 |-Branch two: % 23.45/6.04 | (885) ~ (all_0_51_51 = e2) % 23.45/6.04 | (938) all_0_52_52 = e2 % 23.45/6.04 | % 23.45/6.04 | Equations (938) can reduce 88 to: % 23.45/6.04 | (363) ~ (all_0_48_48 = e2) % 23.45/6.04 | % 23.45/6.04 | Equations (938) can reduce 2161 to: % 23.45/6.04 | (134) ~ (e2 = e1) % 23.45/6.04 | % 23.45/6.04 | Equations (938) can reduce 304 to: % 23.45/6.04 | (139) ~ (e2 = e0) % 23.45/6.04 | % 23.45/6.04 +-Applying beta-rule and splitting (716), into two cases. % 23.45/6.04 |-Branch one: % 23.45/6.04 | (717) all_0_48_48 = e0 % 23.45/6.04 | % 23.45/6.04 | Equations (717) can reduce 303 to: % 23.45/6.04 | (298) $false % 23.45/6.04 | % 23.45/6.04 |-The branch is then unsatisfiable % 23.45/6.04 |-Branch two: % 23.45/6.05 | (303) ~ (all_0_48_48 = e0) % 23.45/6.05 | (720) all_0_48_48 = e4 | all_0_48_48 = e3 | all_0_48_48 = e2 % 23.45/6.05 | % 23.45/6.05 +-Applying beta-rule and splitting (720), into two cases. % 23.45/6.05 |-Branch one: % 23.45/6.05 | (491) all_0_48_48 = e3 % 23.45/6.05 | % 23.45/6.05 | Equations (491) can reduce 690 to: % 23.45/6.05 | (472) ~ (e4 = e3) % 23.45/6.05 | % 23.45/6.05 | Simplifying 472 yields: % 23.45/6.05 | (184) ~ (e4 = e3) % 23.45/6.05 | % 23.45/6.05 | Equations (491) can reduce 363 to: % 23.45/6.05 | (213) ~ (e3 = e2) % 23.45/6.05 | % 23.45/6.05 | Equations (491) can reduce 290 to: % 23.45/6.05 | (214) ~ (e3 = e1) % 23.45/6.05 | % 23.45/6.05 | Equations (491) can reduce 303 to: % 23.45/6.05 | (84) ~ (e3 = e0) % 23.45/6.05 | % 23.45/6.05 +-Applying beta-rule and splitting (132), into two cases. % 23.45/6.05 |-Branch one: % 23.45/6.05 | (4611) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_38_38 = e0 & ~ (all_0_37_37 = e1) & ~ (all_0_55_55 = all_0_59_59)) % 23.45/6.05 | % 23.45/6.05 +-Applying beta-rule and splitting (4611), into two cases. % 23.45/6.05 |-Branch one: % 23.45/6.05 | (4612) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_52_52 = all_0_58_58)) % 23.46/6.05 | % 23.46/6.05 +-Applying beta-rule and splitting (4612), into two cases. % 23.46/6.05 |-Branch one: % 23.46/6.05 | (4613) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_48_48 = all_0_57_57)) % 23.46/6.05 | % 23.46/6.05 +-Applying beta-rule and splitting (4613), into two cases. % 23.46/6.05 |-Branch one: % 23.46/6.05 | (4614) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56)) % 23.46/6.05 | % 23.46/6.05 +-Applying beta-rule and splitting (4614), into two cases. % 23.46/6.05 |-Branch one: % 23.46/6.05 | (4615) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) % 23.46/6.05 | % 23.46/6.05 +-Applying beta-rule and splitting (4615), into two cases. % 23.46/6.05 |-Branch one: % 23.46/6.05 | (4616) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) % 23.46/6.05 | % 23.46/6.05 +-Applying beta-rule and splitting (4616), into two cases. % 23.46/6.05 |-Branch one: % 23.46/6.05 | (4617) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) % 23.46/6.05 | % 23.46/6.05 +-Applying beta-rule and splitting (4617), into two cases. % 23.46/6.05 |-Branch one: % 23.46/6.05 | (4618) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) % 23.46/6.05 | % 23.46/6.05 +-Applying beta-rule and splitting (4618), into two cases. % 23.46/6.05 |-Branch one: % 23.46/6.05 | (4619) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) % 23.46/6.05 | % 23.46/6.05 +-Applying beta-rule and splitting (4619), into two cases. % 23.46/6.05 |-Branch one: % 23.46/6.05 | (4620) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) % 23.46/6.05 | % 23.46/6.05 +-Applying beta-rule and splitting (4620), into two cases. % 23.46/6.05 |-Branch one: % 23.46/6.05 | (4621) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) % 23.46/6.05 | % 23.46/6.05 +-Applying beta-rule and splitting (4621), into two cases. % 23.46/6.05 |-Branch one: % 23.46/6.05 | (4622) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) % 23.46/6.05 | % 23.46/6.06 +-Applying beta-rule and splitting (4622), into two cases. % 23.46/6.06 |-Branch one: % 23.46/6.06 | (4623) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) % 23.46/6.06 | % 23.46/6.06 +-Applying beta-rule and splitting (4623), into two cases. % 23.46/6.06 |-Branch one: % 23.46/6.06 | (4624) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) % 23.46/6.06 | % 23.46/6.06 +-Applying beta-rule and splitting (4624), into two cases. % 23.46/6.06 |-Branch one: % 23.46/6.06 | (4625) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) % 23.46/6.06 | % 23.46/6.06 +-Applying beta-rule and splitting (4625), into two cases. % 23.46/6.06 |-Branch one: % 23.46/6.06 | (4626) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) % 23.46/6.06 | % 23.46/6.06 +-Applying beta-rule and splitting (4626), into two cases. % 23.46/6.06 |-Branch one: % 23.46/6.06 | (4627) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) % 23.46/6.06 | % 23.46/6.06 +-Applying beta-rule and splitting (4627), into two cases. % 23.46/6.06 |-Branch one: % 23.46/6.06 | (4628) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) % 23.46/6.06 | % 23.46/6.06 +-Applying beta-rule and splitting (4628), into two cases. % 23.46/6.06 |-Branch one: % 23.46/6.06 | (4629) all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44) % 23.46/6.06 | % 23.46/6.06 | Applying alpha-rule on (4629) yields: % 23.46/6.06 | (1760) all_0_1_1 = e4 % 23.46/6.06 | (4631) ~ (all_0_0_0 = e3) % 23.46/6.06 | (4632) ~ (all_0_40_40 = all_0_44_44) % 23.46/6.06 | % 23.46/6.06 | Equations (461,500) can reduce 4632 to: % 23.46/6.06 | (298) $false % 23.46/6.06 | % 23.46/6.06 |-The branch is then unsatisfiable % 23.46/6.06 |-Branch two: % 23.46/6.06 | (4634) all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49) % 23.46/6.06 | % 23.46/6.06 | Applying alpha-rule on (4634) yields: % 23.46/6.06 | (4635) all_0_3_3 = e4 % 23.46/6.06 | (4636) ~ (all_0_2_2 = e2) % 23.46/6.06 | (4637) ~ (all_0_41_41 = all_0_49_49) % 23.46/6.06 | % 23.46/6.06 | Combining equations (4635,270) yields a new equation: % 23.46/6.06 | (480) e4 = e0 % 23.46/6.06 | % 23.46/6.06 | Simplifying 480 yields: % 23.46/6.06 | (481) e4 = e0 % 23.46/6.06 | % 23.46/6.06 | Equations (481) can reduce 47 to: % 23.46/6.06 | (298) $false % 23.46/6.06 | % 23.46/6.06 |-The branch is then unsatisfiable % 23.46/6.06 |-Branch two: % 23.46/6.06 | (4641) all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53) % 23.46/6.06 | % 23.46/6.06 | Applying alpha-rule on (4641) yields: % 23.46/6.06 | (4642) all_0_5_5 = e4 % 23.46/6.06 | (4643) ~ (all_0_4_4 = e1) % 23.46/6.06 | (4644) ~ (all_0_42_42 = all_0_53_53) % 23.46/6.06 | % 23.46/6.06 | Equations (469,419) can reduce 4644 to: % 23.46/6.06 | (298) $false % 23.46/6.06 | % 23.46/6.06 |-The branch is then unsatisfiable % 23.46/6.06 |-Branch two: % 23.46/6.06 | (4646) all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56) % 23.46/6.06 | % 23.46/6.06 | Applying alpha-rule on (4646) yields: % 23.46/6.06 | (1006) all_0_7_7 = e4 % 23.46/6.06 | (4648) ~ (all_0_6_6 = e0) % 23.46/6.06 | (4649) ~ (all_0_43_43 = all_0_56_56) % 23.46/6.06 | % 23.46/6.06 | Equations (520,390) can reduce 4649 to: % 23.46/6.06 | (298) $false % 23.46/6.06 | % 23.46/6.06 |-The branch is then unsatisfiable % 23.46/6.06 |-Branch two: % 23.46/6.06 | (4651) all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44) % 23.46/6.06 | % 23.46/6.06 | Applying alpha-rule on (4651) yields: % 23.46/6.06 | (2277) all_0_9_9 = e3 % 23.46/6.06 | (4653) ~ (all_0_8_8 = e4) % 23.46/6.06 | (4632) ~ (all_0_40_40 = all_0_44_44) % 23.46/6.06 | % 23.46/6.06 | Combining equations (2277,4473) yields a new equation: % 23.46/6.06 | (392) e4 = e3 % 23.46/6.06 | % 23.46/6.06 | Equations (392) can reduce 184 to: % 23.46/6.06 | (298) $false % 23.46/6.06 | % 23.46/6.06 |-The branch is then unsatisfiable % 23.46/6.06 |-Branch two: % 23.46/6.06 | (4657) all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50) % 23.46/6.06 | % 23.46/6.06 | Applying alpha-rule on (4657) yields: % 23.46/6.06 | (437) all_0_12_12 = e3 % 23.46/6.06 | (4659) ~ (all_0_11_11 = e2) % 23.46/6.06 | (4660) ~ (all_0_46_46 = all_0_50_50) % 23.46/6.06 | % 23.46/6.06 | Combining equations (1005,437) yields a new equation: % 23.46/6.06 | (420) e3 = e1 % 23.46/6.06 | % 23.46/6.06 | Equations (420) can reduce 214 to: % 23.46/6.06 | (298) $false % 23.46/6.06 | % 23.46/6.06 |-The branch is then unsatisfiable % 23.46/6.06 |-Branch two: % 23.46/6.06 | (4663) all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54) % 23.46/6.06 | % 23.46/6.06 | Applying alpha-rule on (4663) yields: % 23.46/6.06 | (4664) all_0_14_14 = e3 % 23.46/6.06 | (4665) ~ (all_0_13_13 = e1) % 23.46/6.06 | (4666) ~ (all_0_47_47 = all_0_54_54) % 23.46/6.06 | % 23.46/6.06 | Equations (368,382) can reduce 4666 to: % 23.46/6.06 | (298) $false % 23.46/6.06 | % 23.46/6.06 |-The branch is then unsatisfiable % 23.46/6.06 |-Branch two: % 23.46/6.06 | (4668) all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57) % 23.46/6.06 | % 23.46/6.06 | Applying alpha-rule on (4668) yields: % 23.46/6.06 | (4669) all_0_16_16 = e3 % 23.46/6.07 | (4670) ~ (all_0_15_15 = e0) % 23.46/6.07 | (4671) ~ (all_0_48_48 = all_0_57_57) % 23.46/6.07 | % 23.46/6.07 | Equations (491,902) can reduce 4671 to: % 23.46/6.07 | (298) $false % 23.46/6.07 | % 23.46/6.07 |-The branch is then unsatisfiable % 23.46/6.07 |-Branch two: % 23.46/6.07 | (4673) all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49) % 23.46/6.07 | % 23.46/6.07 | Applying alpha-rule on (4673) yields: % 23.46/6.07 | (4674) all_0_18_18 = e2 % 23.46/6.07 | (4675) ~ (all_0_17_17 = e4) % 23.46/6.07 | (4637) ~ (all_0_41_41 = all_0_49_49) % 23.46/6.07 | % 23.46/6.07 | Combining equations (4674,4482) yields a new equation: % 23.46/6.07 | (567) e3 = e2 % 23.46/6.07 | % 23.46/6.07 | Equations (567) can reduce 213 to: % 23.46/6.07 | (298) $false % 23.46/6.07 | % 23.46/6.07 |-The branch is then unsatisfiable % 23.46/6.07 |-Branch two: % 23.46/6.07 | (4679) all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50) % 23.46/6.07 | % 23.46/6.07 | Applying alpha-rule on (4679) yields: % 23.46/6.07 | (4680) all_0_20_20 = e2 % 23.46/6.07 | (4681) ~ (all_0_19_19 = e3) % 23.46/6.07 | (4660) ~ (all_0_46_46 = all_0_50_50) % 23.46/6.07 | % 23.46/6.07 | Equations (933,523) can reduce 4660 to: % 23.46/6.07 | (298) $false % 23.46/6.07 | % 23.46/6.07 |-The branch is then unsatisfiable % 23.46/6.07 |-Branch two: % 23.46/6.07 | (4684) all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0) % 23.46/6.07 | % 23.46/6.07 | Applying alpha-rule on (4684) yields: % 23.46/6.07 | (440) all_0_22_22 = e2 % 23.46/6.07 | (4686) ~ (all_0_21_21 = e1) % 23.46/6.07 | (1871) ~ (all_0_51_51 = e0) % 23.46/6.07 | % 23.46/6.07 | Equations (1730) can reduce 1871 to: % 23.46/6.07 | (298) $false % 23.46/6.07 | % 23.46/6.07 |-The branch is then unsatisfiable % 23.46/6.07 |-Branch two: % 23.46/6.07 | (4689) all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58) % 23.46/6.07 | % 23.46/6.07 | Applying alpha-rule on (4689) yields: % 23.46/6.07 | (4690) all_0_24_24 = e2 % 23.46/6.07 | (4691) ~ (all_0_23_23 = e0) % 23.46/6.07 | (4692) ~ (all_0_52_52 = all_0_58_58) % 23.46/6.07 | % 23.46/6.07 | Equations (938,955) can reduce 4692 to: % 23.46/6.07 | (298) $false % 23.46/6.07 | % 23.46/6.07 |-The branch is then unsatisfiable % 23.46/6.07 |-Branch two: % 23.46/6.07 | (4694) all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53) % 23.46/6.07 | % 23.46/6.07 | Applying alpha-rule on (4694) yields: % 23.46/6.07 | (4695) all_0_26_26 = e1 % 23.46/6.07 | (4696) ~ (all_0_25_25 = e4) % 23.46/6.07 | (4644) ~ (all_0_42_42 = all_0_53_53) % 23.46/6.07 | % 23.46/6.07 | Combining equations (4695,4388) yields a new equation: % 23.46/6.07 | (296) e1 = e0 % 23.46/6.07 | % 23.46/6.07 | Simplifying 296 yields: % 23.46/6.07 | (297) e1 = e0 % 23.46/6.07 | % 23.46/6.07 | Equations (297) can reduce 231 to: % 23.46/6.07 | (298) $false % 23.46/6.07 | % 23.46/6.07 |-The branch is then unsatisfiable % 23.46/6.07 |-Branch two: % 23.46/6.07 | (4701) all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54) % 23.46/6.07 | % 23.46/6.07 | Applying alpha-rule on (4701) yields: % 23.46/6.07 | (2280) all_0_28_28 = e1 % 23.46/6.07 | (4703) ~ (all_0_27_27 = e3) % 23.46/6.07 | (4666) ~ (all_0_47_47 = all_0_54_54) % 23.46/6.07 | % 23.46/6.07 | Combining equations (4589,2280) yields a new equation: % 23.46/6.07 | (598) e4 = e1 % 23.46/6.07 | % 23.46/6.07 | Simplifying 598 yields: % 23.46/6.07 | (535) e4 = e1 % 23.46/6.07 | % 23.46/6.07 | Equations (535) can reduce 115 to: % 23.46/6.07 | (298) $false % 23.46/6.07 | % 23.46/6.07 |-The branch is then unsatisfiable % 23.46/6.07 |-Branch two: % 23.46/6.07 | (4708) all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59) % 23.46/6.07 | % 23.46/6.07 | Applying alpha-rule on (4708) yields: % 23.46/6.07 | (4709) all_0_30_30 = e1 % 23.46/6.07 | (4710) ~ (all_0_29_29 = e0) % 23.46/6.07 | (4711) ~ (all_0_55_55 = all_0_59_59) % 23.46/6.07 | % 23.46/6.07 | Equations (1029,341) can reduce 4711 to: % 23.46/6.07 | (298) $false % 23.46/6.07 | % 23.46/6.07 |-The branch is then unsatisfiable % 23.46/6.07 |-Branch two: % 23.46/6.07 | (4713) all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56) % 23.46/6.07 | % 23.46/6.07 | Applying alpha-rule on (4713) yields: % 23.46/6.07 | (4714) all_0_32_32 = e0 % 23.46/6.07 | (4715) ~ (all_0_31_31 = e4) % 23.46/6.07 | (4649) ~ (all_0_43_43 = all_0_56_56) % 23.46/6.07 | % 23.46/6.07 | Combining equations (4714,4479) yields a new equation: % 23.46/6.07 | (569) e2 = e0 % 23.46/6.07 | % 23.46/6.07 | Equations (569) can reduce 139 to: % 23.46/6.07 | (298) $false % 23.46/6.07 | % 23.46/6.07 |-The branch is then unsatisfiable % 23.46/6.07 |-Branch two: % 23.46/6.07 | (4719) all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_48_48 = all_0_57_57) % 23.46/6.07 | % 23.46/6.07 | Applying alpha-rule on (4719) yields: % 23.46/6.07 | (4720) all_0_34_34 = e0 % 23.46/6.07 | (4721) ~ (all_0_33_33 = e3) % 23.46/6.07 | (4671) ~ (all_0_48_48 = all_0_57_57) % 23.46/6.07 | % 23.46/6.08 | Combining equations (4720,3257) yields a new equation: % 23.46/6.08 | (297) e1 = e0 % 23.46/6.08 | % 23.46/6.08 | Equations (297) can reduce 231 to: % 23.46/6.08 | (298) $false % 23.46/6.08 | % 23.46/6.08 |-The branch is then unsatisfiable % 23.46/6.08 |-Branch two: % 23.46/6.08 | (4725) all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_52_52 = all_0_58_58) % 23.46/6.08 | % 23.46/6.08 | Applying alpha-rule on (4725) yields: % 23.46/6.08 | (4726) all_0_36_36 = e0 % 23.46/6.08 | (4727) ~ (all_0_35_35 = e2) % 23.46/6.08 | (4692) ~ (all_0_52_52 = all_0_58_58) % 23.46/6.08 | % 23.46/6.08 | Combining equations (4726,1007) yields a new equation: % 23.46/6.08 | (534) e3 = e0 % 23.46/6.08 | % 23.46/6.08 | Equations (534) can reduce 84 to: % 23.46/6.08 | (298) $false % 23.46/6.08 | % 23.46/6.08 |-The branch is then unsatisfiable % 23.46/6.08 |-Branch two: % 23.46/6.08 | (4731) all_0_38_38 = e0 & ~ (all_0_37_37 = e1) & ~ (all_0_55_55 = all_0_59_59) % 23.46/6.08 | % 23.46/6.08 | Applying alpha-rule on (4731) yields: % 23.46/6.08 | (4732) all_0_38_38 = e0 % 23.46/6.08 | (4733) ~ (all_0_37_37 = e1) % 23.46/6.08 | (4711) ~ (all_0_55_55 = all_0_59_59) % 23.46/6.08 | % 23.46/6.08 | Combining equations (352,4732) yields a new equation: % 23.46/6.08 | (480) e4 = e0 % 23.46/6.08 | % 23.46/6.08 | Simplifying 480 yields: % 23.46/6.08 | (481) e4 = e0 % 23.46/6.08 | % 23.46/6.08 | Equations (481) can reduce 47 to: % 23.46/6.08 | (298) $false % 23.46/6.08 | % 23.46/6.08 |-The branch is then unsatisfiable % 23.46/6.08 |-Branch two: % 23.46/6.08 | (4738) all_0_58_58 = e1 & ~ (all_0_51_51 = e0) & ~ (all_0_59_59 = e2) % 23.46/6.08 | % 23.46/6.08 | Applying alpha-rule on (4738) yields: % 23.46/6.08 | (337) all_0_58_58 = e1 % 23.46/6.08 | (1871) ~ (all_0_51_51 = e0) % 23.46/6.08 | (963) ~ (all_0_59_59 = e2) % 23.46/6.08 | % 23.46/6.08 | Combining equations (337,955) yields a new equation: % 23.46/6.08 | (544) e2 = e1 % 23.46/6.08 | % 23.46/6.08 | Equations (544) can reduce 134 to: % 23.46/6.08 | (298) $false % 23.46/6.08 | % 23.46/6.08 |-The branch is then unsatisfiable % 23.46/6.08 |-Branch two: % 23.46/6.08 | (711) ~ (all_0_48_48 = e3) % 23.46/6.08 | (724) all_0_48_48 = e4 | all_0_48_48 = e2 % 23.46/6.08 | % 23.46/6.08 +-Applying beta-rule and splitting (724), into two cases. % 23.46/6.08 |-Branch one: % 23.46/6.08 | (687) all_0_48_48 = e4 % 23.46/6.08 | % 23.46/6.08 | Equations (687) can reduce 690 to: % 23.46/6.08 | (298) $false % 23.46/6.08 | % 23.46/6.08 |-The branch is then unsatisfiable % 23.46/6.08 |-Branch two: % 23.46/6.08 | (690) ~ (all_0_48_48 = e4) % 23.46/6.08 | (743) all_0_48_48 = e2 % 23.46/6.08 | % 23.46/6.08 | Equations (743) can reduce 363 to: % 23.46/6.08 | (298) $false % 23.46/6.08 | % 23.46/6.08 |-The branch is then unsatisfiable % 23.46/6.08 |-Branch two: % 23.46/6.08 | (596) ~ (all_0_50_50 = e4) % 23.46/6.08 | (407) all_0_57_57 = e4 % 23.46/6.08 | % 23.46/6.08 | Combining equations (902,407) yields a new equation: % 23.46/6.08 | (392) e4 = e3 % 23.46/6.08 | % 23.46/6.08 | Equations (392) can reduce 184 to: % 23.46/6.08 | (298) $false % 23.46/6.08 | % 23.46/6.08 |-The branch is then unsatisfiable % 23.46/6.08 |-Branch two: % 23.46/6.08 | (361) ~ (all_0_47_47 = e2) % 23.46/6.08 | (371) all_0_51_51 = e2 | all_0_59_59 = e2 % 23.46/6.08 | % 23.46/6.08 +-Applying beta-rule and splitting (133), into two cases. % 23.46/6.08 |-Branch one: % 23.46/6.08 | (326) all_0_52_52 = e1 % 23.46/6.08 | % 23.46/6.08 | Equations (326) can reduce 2161 to: % 23.46/6.08 | (298) $false % 23.46/6.08 | % 23.46/6.08 |-The branch is then unsatisfiable % 23.46/6.08 |-Branch two: % 23.46/6.08 | (2161) ~ (all_0_52_52 = e1) % 23.46/6.08 | (2880) all_0_52_52 = e4 | all_0_52_52 = e2 | all_0_52_52 = e0 % 23.46/6.08 | % 23.46/6.08 +-Applying beta-rule and splitting (1906), into two cases. % 23.46/6.08 |-Branch one: % 23.46/6.08 | (396) all_0_51_51 = e2 % 23.46/6.08 | % 23.46/6.08 | Combining equations (396,1730) yields a new equation: % 23.46/6.08 | (568) e2 = e0 % 23.46/6.08 | % 23.46/6.08 | Simplifying 568 yields: % 23.46/6.08 | (569) e2 = e0 % 23.46/6.08 | % 23.46/6.08 | Equations (569) can reduce 139 to: % 23.46/6.08 | (298) $false % 23.46/6.08 | % 23.46/6.08 |-The branch is then unsatisfiable % 23.46/6.08 |-Branch two: % 23.46/6.08 | (885) ~ (all_0_51_51 = e2) % 23.46/6.08 | (938) all_0_52_52 = e2 % 23.46/6.08 | % 23.46/6.08 | Equations (938) can reduce 2161 to: % 23.46/6.08 | (134) ~ (e2 = e1) % 23.46/6.08 | % 23.46/6.08 | Equations (938) can reduce 304 to: % 23.46/6.08 | (139) ~ (e2 = e0) % 23.46/6.08 | % 23.46/6.08 +-Applying beta-rule and splitting (371), into two cases. % 23.46/6.08 |-Branch one: % 23.46/6.08 | (396) all_0_51_51 = e2 % 23.46/6.08 | % 23.46/6.08 | Combining equations (396,1730) yields a new equation: % 23.46/6.08 | (568) e2 = e0 % 23.46/6.08 | % 23.46/6.08 | Simplifying 568 yields: % 23.46/6.08 | (569) e2 = e0 % 23.46/6.08 | % 23.46/6.08 | Equations (569) can reduce 139 to: % 23.46/6.08 | (298) $false % 23.46/6.08 | % 23.46/6.08 |-The branch is then unsatisfiable % 23.46/6.08 |-Branch two: % 23.46/6.08 | (885) ~ (all_0_51_51 = e2) % 23.46/6.08 | (886) all_0_59_59 = e2 % 23.46/6.08 | % 23.46/6.08 | Combining equations (886,341) yields a new equation: % 23.46/6.08 | (887) e2 = e1 % 23.46/6.08 | % 23.46/6.08 | Simplifying 887 yields: % 23.46/6.08 | (544) e2 = e1 % 23.46/6.08 | % 23.46/6.08 | Equations (544) can reduce 134 to: % 23.46/6.08 | (298) $false % 23.46/6.08 | % 23.46/6.08 |-The branch is then unsatisfiable % 23.46/6.08 |-Branch two: % 23.46/6.08 | (1871) ~ (all_0_51_51 = e0) % 23.46/6.08 | (2078) all_0_52_52 = e0 % 23.46/6.08 | % 23.46/6.08 | Equations (2078) can reduce 304 to: % 23.46/6.08 | (298) $false % 23.46/6.08 | % 23.46/6.08 |-The branch is then unsatisfiable % 23.46/6.08 |-Branch two: % 23.46/6.08 | (745) ~ (all_0_40_40 = e0) % 23.46/6.08 | (746) all_0_42_42 = e0 | all_0_43_43 = e0 % 23.46/6.08 | % 23.46/6.08 +-Applying beta-rule and splitting (746), into two cases. % 23.46/6.08 |-Branch one: % 23.46/6.08 | (466) all_0_42_42 = e0 % 23.46/6.08 | % 23.46/6.08 | Equations (466) can reduce 204 to: % 23.46/6.08 | (745) ~ (all_0_40_40 = e0) % 23.46/6.08 | % 23.46/6.08 | Equations (466) can reduce 20 to: % 23.46/6.08 | (464) ~ (all_0_43_43 = e0) % 23.46/6.08 | % 23.46/6.08 | Simplifying 464 yields: % 23.46/6.08 | (301) ~ (all_0_43_43 = e0) % 23.46/6.08 | % 23.46/6.08 | Equations (466) can reduce 153 to: % 23.46/6.08 | (1990) ~ (all_0_51_51 = e0) % 23.46/6.08 | % 23.46/6.08 | Simplifying 1990 yields: % 23.46/6.08 | (1871) ~ (all_0_51_51 = e0) % 23.46/6.08 | % 23.46/6.08 | Equations (466) can reduce 256 to: % 23.46/6.08 | (526) ~ (e1 = e0) % 23.46/6.08 | % 23.46/6.08 | Simplifying 526 yields: % 23.46/6.08 | (231) ~ (e1 = e0) % 23.46/6.08 | % 23.46/6.08 | From (466) and (19) follows: % 23.46/6.08 | (4791) op(e0, e4) = all_0_4_4 % 23.46/6.08 | % 23.46/6.08 | From (466) and (2) follows: % 23.46/6.08 | (780) op(e4, e1) = e0 % 23.46/6.08 | % 23.46/6.08 +-Applying beta-rule and splitting (1707), into two cases. % 23.46/6.08 |-Branch one: % 23.46/6.08 | (1730) all_0_51_51 = e0 % 23.46/6.08 | % 23.46/6.08 | Equations (1730) can reduce 1871 to: % 23.46/6.08 | (298) $false % 23.46/6.08 | % 23.46/6.08 |-The branch is then unsatisfiable % 23.46/6.08 |-Branch two: % 23.46/6.08 | (1871) ~ (all_0_51_51 = e0) % 23.46/6.08 | (396) all_0_51_51 = e2 % 23.46/6.08 | % 23.46/6.08 | From (396) and (169) follows: % 23.46/6.08 | (404) op(e2, e2) = all_0_21_21 % 23.46/6.08 | % 23.46/6.08 | From (396) and (33) follows: % 23.46/6.08 | (405) op(e2, e1) = all_0_22_22 % 23.46/6.08 | % 23.46/6.08 | From (396) and (149) follows: % 23.46/6.08 | (406) op(e2, e1) = e2 % 23.46/6.08 | % 23.46/6.08 +-Applying beta-rule and splitting (104), into two cases. % 23.46/6.08 |-Branch one: % 23.46/6.08 | (461) all_0_40_40 = e0 % 23.46/6.08 | % 23.46/6.08 | Equations (461) can reduce 745 to: % 23.46/6.08 | (298) $false % 23.46/6.08 | % 23.46/6.08 |-The branch is then unsatisfiable % 23.46/6.08 |-Branch two: % 23.46/6.08 | (745) ~ (all_0_40_40 = e0) % 23.46/6.08 | (1129) all_0_45_45 = e0 | all_0_50_50 = e0 | all_0_57_57 = e0 % 23.46/6.08 | % 23.46/6.08 +-Applying beta-rule and splitting (251), into two cases. % 23.46/6.08 |-Branch one: % 23.46/6.08 | (469) all_0_42_42 = e3 % 23.46/6.08 | % 23.46/6.08 | Combining equations (466,469) yields a new equation: % 23.46/6.08 | (534) e3 = e0 % 23.46/6.08 | % 23.46/6.08 | Equations (534) can reduce 84 to: % 23.46/6.08 | (298) $false % 23.46/6.08 | % 23.46/6.08 |-The branch is then unsatisfiable % 23.46/6.08 |-Branch two: % 23.46/6.08 | (847) ~ (all_0_42_42 = e3) % 23.46/6.08 | (1512) all_0_47_47 = e3 | all_0_59_59 = e3 % 23.46/6.08 | % 23.46/6.08 | Equations (466) can reduce 847 to: % 23.46/6.08 | (620) ~ (e3 = e0) % 23.46/6.08 | % 23.46/6.08 | Simplifying 620 yields: % 23.46/6.08 | (84) ~ (e3 = e0) % 23.46/6.08 | % 23.46/6.08 +-Applying beta-rule and splitting (23), into two cases. % 23.46/6.08 |-Branch one: % 23.46/6.08 | (755) all_0_40_40 = e3 % 23.46/6.08 | % 23.46/6.08 | Equations (755) can reduce 425 to: % 23.46/6.08 | (298) $false % 23.46/6.08 | % 23.46/6.08 |-The branch is then unsatisfiable % 23.46/6.08 |-Branch two: % 23.46/6.08 | (425) ~ (all_0_40_40 = e3) % 23.46/6.08 | (1257) all_0_42_42 = e3 | all_0_43_43 = e3 % 23.46/6.08 | % 23.46/6.08 +-Applying beta-rule and splitting (129), into two cases. % 23.46/6.08 |-Branch one: % 23.46/6.08 | (637) all_0_49_49 = e0 % 23.46/6.08 | % 23.46/6.08 | Combining equations (457,637) yields a new equation: % 23.46/6.08 | (296) e1 = e0 % 23.46/6.08 | % 23.46/6.08 | Simplifying 296 yields: % 23.46/6.08 | (297) e1 = e0 % 23.46/6.08 | % 23.46/6.08 | Equations (297) can reduce 231 to: % 23.46/6.08 | (298) $false % 23.46/6.08 | % 23.46/6.08 |-The branch is then unsatisfiable % 23.46/6.08 |-Branch two: % 23.46/6.08 | (652) ~ (all_0_49_49 = e0) % 23.46/6.08 | (682) all_0_50_50 = e0 | all_0_51_51 = e0 | all_0_52_52 = e0 % 23.46/6.08 | % 23.46/6.08 | Equations (457) can reduce 652 to: % 23.46/6.08 | (231) ~ (e1 = e0) % 23.46/6.08 | % 23.46/6.08 +-Applying beta-rule and splitting (1257), into two cases. % 23.46/6.08 |-Branch one: % 23.46/6.08 | (469) all_0_42_42 = e3 % 23.46/6.08 | % 23.46/6.08 | Combining equations (466,469) yields a new equation: % 23.46/6.08 | (534) e3 = e0 % 23.46/6.08 | % 23.46/6.08 | Equations (534) can reduce 84 to: % 23.46/6.08 | (298) $false % 23.46/6.08 | % 23.46/6.08 |-The branch is then unsatisfiable % 23.46/6.08 |-Branch two: % 23.46/6.08 | (847) ~ (all_0_42_42 = e3) % 23.46/6.08 | (475) all_0_43_43 = e3 % 23.46/6.08 | % 23.46/6.08 | Equations (475) can reduce 238 to: % 23.46/6.08 | (425) ~ (all_0_40_40 = e3) % 23.46/6.08 | % 23.46/6.08 | Equations (475) can reduce 258 to: % 23.46/6.08 | (214) ~ (e3 = e1) % 23.46/6.08 | % 23.46/6.08 | Equations (475) can reduce 301 to: % 23.46/6.08 | (84) ~ (e3 = e0) % 23.46/6.08 | % 23.46/6.08 | From (475) and (181) follows: % 23.46/6.08 | (4830) op(e3, e4) = all_0_6_6 % 23.46/6.08 | % 23.46/6.08 | From (475) and (34) follows: % 23.46/6.08 | (3509) op(e4, e0) = e3 % 23.46/6.08 | % 23.46/6.08 +-Applying beta-rule and splitting (8), into two cases. % 23.46/6.08 |-Branch one: % 23.46/6.08 | (318) all_0_48_48 = e1 % 23.46/6.08 | % 23.46/6.08 | Equations (318) can reduce 290 to: % 23.46/6.08 | (298) $false % 23.46/6.08 | % 23.46/6.08 |-The branch is then unsatisfiable % 23.46/6.08 |-Branch two: % 23.46/6.08 | (290) ~ (all_0_48_48 = e1) % 23.46/6.08 | (716) all_0_48_48 = e4 | all_0_48_48 = e3 | all_0_48_48 = e2 | all_0_48_48 = e0 % 23.46/6.09 | % 23.46/6.09 +-Applying beta-rule and splitting (216), into two cases. % 23.46/6.09 |-Branch one: % 23.46/6.09 | (479) all_0_40_40 = e4 % 23.46/6.09 | % 23.46/6.09 | Equations (479) can reduce 75 to: % 23.46/6.09 | (759) ~ (all_0_50_50 = e4) % 23.46/6.09 | % 23.46/6.09 | Simplifying 759 yields: % 23.46/6.09 | (596) ~ (all_0_50_50 = e4) % 23.46/6.09 | % 23.46/6.09 | Equations (479) can reduce 425 to: % 23.46/6.09 | (184) ~ (e4 = e3) % 23.46/6.09 | % 23.46/6.09 | Equations (479) can reduce 254 to: % 23.46/6.09 | (115) ~ (e4 = e1) % 23.46/6.09 | % 23.46/6.09 | Equations (479) can reduce 745 to: % 23.46/6.09 | (47) ~ (e4 = e0) % 23.46/6.09 | % 23.46/6.09 | From (479) and (127) follows: % 23.46/6.09 | (3202) op(e4, e4) = all_0_0_0 % 23.46/6.09 | % 23.46/6.09 +-Applying beta-rule and splitting (226), into two cases. % 23.46/6.09 |-Branch one: % 23.46/6.09 | (506) all_0_49_49 = e4 % 23.46/6.09 | % 23.46/6.09 | Combining equations (457,506) yields a new equation: % 23.46/6.09 | (535) e4 = e1 % 23.46/6.09 | % 23.46/6.09 | Equations (535) can reduce 115 to: % 23.46/6.09 | (298) $false % 23.46/6.09 | % 23.46/6.09 |-The branch is then unsatisfiable % 23.46/6.09 |-Branch two: % 23.46/6.09 | (497) ~ (all_0_49_49 = e4) % 23.46/6.09 | (509) all_0_50_50 = e4 | all_0_52_52 = e4 % 23.46/6.09 | % 23.46/6.09 +-Applying beta-rule and splitting (160), into two cases. % 23.46/6.09 |-Branch one: % 23.46/6.09 | (771) all_0_50_50 = e1 % 23.46/6.09 | % 23.46/6.09 | Equations (771) can reduce 330 to: % 23.46/6.09 | (298) $false % 23.46/6.09 | % 23.46/6.09 |-The branch is then unsatisfiable % 23.46/6.09 |-Branch two: % 23.46/6.09 | (330) ~ (all_0_50_50 = e1) % 23.46/6.09 | (774) all_0_50_50 = e4 | all_0_50_50 = e2 | all_0_50_50 = e0 % 23.46/6.09 | % 23.46/6.09 +-Applying beta-rule and splitting (163), into two cases. % 23.46/6.09 |-Branch one: % 23.46/6.09 | (892) all_0_44_44 = e3 % 23.46/6.09 | % 23.46/6.09 | Combining equations (500,892) yields a new equation: % 23.46/6.09 | (534) e3 = e0 % 23.46/6.09 | % 23.46/6.09 | Equations (534) can reduce 84 to: % 23.46/6.09 | (298) $false % 23.46/6.09 | % 23.46/6.09 |-The branch is then unsatisfiable % 23.46/6.09 |-Branch two: % 23.46/6.09 | (914) ~ (all_0_44_44 = e3) % 23.46/6.09 | (1082) all_0_45_45 = e3 | all_0_47_47 = e3 | all_0_48_48 = e3 % 23.46/6.09 | % 23.46/6.09 | Equations (500) can reduce 914 to: % 23.46/6.09 | (620) ~ (e3 = e0) % 23.46/6.09 | % 23.46/6.09 | Simplifying 620 yields: % 23.46/6.09 | (84) ~ (e3 = e0) % 23.46/6.09 | % 23.46/6.09 +-Applying beta-rule and splitting (45), into two cases. % 23.46/6.09 |-Branch one: % 23.46/6.09 | (520) all_0_43_43 = e4 % 23.46/6.09 | % 23.46/6.09 | Combining equations (475,520) yields a new equation: % 23.46/6.09 | (392) e4 = e3 % 23.46/6.09 | % 23.46/6.09 | Equations (392) can reduce 184 to: % 23.46/6.09 | (298) $false % 23.46/6.09 | % 23.46/6.09 |-The branch is then unsatisfiable % 23.46/6.09 |-Branch two: % 23.46/6.09 | (601) ~ (all_0_43_43 = e4) % 23.46/6.09 | (602) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_60_60 = e4 % 23.46/6.09 | % 23.46/6.09 +-Applying beta-rule and splitting (244), into two cases. % 23.46/6.09 |-Branch one: % 23.46/6.09 | (743) all_0_48_48 = e2 % 23.46/6.09 | % 23.46/6.09 | Equations (743) can reduce 224 to: % 23.46/6.09 | (361) ~ (all_0_47_47 = e2) % 23.46/6.09 | % 23.46/6.09 | Equations (743) can reduce 690 to: % 23.46/6.09 | (399) ~ (e4 = e2) % 23.46/6.09 | % 23.46/6.09 | Simplifying 399 yields: % 23.46/6.09 | (46) ~ (e4 = e2) % 23.46/6.09 | % 23.46/6.09 | From (743) and (91) follows: % 23.46/6.09 | (4868) op(e2, e0) = all_0_16_16 % 23.46/6.09 | % 23.46/6.09 +-Applying beta-rule and splitting (602), into two cases. % 23.46/6.09 |-Branch one: % 23.46/6.09 | (687) all_0_48_48 = e4 % 23.46/6.09 | % 23.46/6.09 | Combining equations (743,687) yields a new equation: % 23.46/6.09 | (409) e4 = e2 % 23.46/6.09 | % 23.46/6.09 | Equations (409) can reduce 46 to: % 23.46/6.09 | (298) $false % 23.46/6.09 | % 23.46/6.09 |-The branch is then unsatisfiable % 23.46/6.09 |-Branch two: % 23.46/6.09 | (690) ~ (all_0_48_48 = e4) % 23.46/6.09 | (691) all_0_52_52 = e4 | all_0_60_60 = e4 % 23.46/6.09 | % 23.46/6.09 +-Applying beta-rule and splitting (1129), into two cases. % 23.46/6.09 |-Branch one: % 23.46/6.09 | (295) all_0_45_45 = e0 % 23.46/6.09 | % 23.46/6.09 | Combining equations (284,295) yields a new equation: % 23.46/6.09 | (296) e1 = e0 % 23.46/6.09 | % 23.46/6.09 | Simplifying 296 yields: % 23.46/6.09 | (297) e1 = e0 % 23.46/6.09 | % 23.46/6.09 | Equations (297) can reduce 231 to: % 23.46/6.09 | (298) $false % 23.46/6.09 | % 23.46/6.09 |-The branch is then unsatisfiable % 23.46/6.09 |-Branch two: % 23.46/6.09 | (299) ~ (all_0_45_45 = e0) % 23.46/6.09 | (1135) all_0_50_50 = e0 | all_0_57_57 = e0 % 23.46/6.09 | % 23.46/6.09 +-Applying beta-rule and splitting (691), into two cases. % 23.46/6.09 |-Branch one: % 23.46/6.09 | (597) all_0_52_52 = e4 % 23.46/6.09 | % 23.46/6.09 | From (597) and (71) follows: % 23.46/6.09 | (4881) op(e4, e0) = all_0_24_24 % 23.46/6.09 | % 23.46/6.09 | From (597) and (217) follows: % 23.46/6.09 | (2643) op(e2, e0) = e4 % 23.46/6.09 | % 23.46/6.09 +-Applying beta-rule and splitting (1135), into two cases. % 23.46/6.09 |-Branch one: % 23.46/6.09 | (781) all_0_50_50 = e0 % 23.46/6.09 | % 23.46/6.09 | Equations (781) can reduce 330 to: % 23.46/6.09 | (526) ~ (e1 = e0) % 23.46/6.09 | % 23.46/6.09 | Simplifying 526 yields: % 23.46/6.09 | (231) ~ (e1 = e0) % 23.46/6.09 | % 23.46/6.09 +-Applying beta-rule and splitting (1512), into two cases. % 23.46/6.09 |-Branch one: % 23.46/6.09 | (591) all_0_47_47 = e3 % 23.46/6.09 | % 23.46/6.09 | Equations (591) can reduce 361 to: % 23.46/6.09 | (213) ~ (e3 = e2) % 23.46/6.09 | % 23.46/6.09 | Instantiating formula (206) with e4, e4, all_0_0_0, e2 and discharging atoms op(e4, e4) = all_0_0_0, op(e4, e4) = e2, yields: % 23.46/6.09 | (3249) all_0_0_0 = e2 % 23.46/6.09 | % 23.46/6.09 | Instantiating formula (206) with e4, e0, e3, all_0_24_24 and discharging atoms op(e4, e0) = all_0_24_24, op(e4, e0) = e3, yields: % 23.46/6.09 | (4889) all_0_24_24 = e3 % 23.46/6.09 | % 23.46/6.09 | Instantiating formula (206) with e3, e4, all_0_6_6, e0 and discharging atoms op(e3, e4) = all_0_6_6, op(e3, e4) = e0, yields: % 23.46/6.09 | (4890) all_0_6_6 = e0 % 23.46/6.09 | % 23.46/6.09 | Instantiating formula (206) with e2, e2, all_0_21_21, e3 and discharging atoms op(e2, e2) = all_0_21_21, op(e2, e2) = e3, yields: % 23.46/6.09 | (443) all_0_21_21 = e3 % 23.46/6.09 | % 23.46/6.09 | Instantiating formula (206) with e2, e1, e2, all_0_22_22 and discharging atoms op(e2, e1) = all_0_22_22, op(e2, e1) = e2, yields: % 23.46/6.09 | (440) all_0_22_22 = e2 % 23.46/6.09 | % 23.46/6.09 | Instantiating formula (206) with e2, e0, e4, all_0_16_16 and discharging atoms op(e2, e0) = all_0_16_16, op(e2, e0) = e4, yields: % 23.46/6.09 | (4893) all_0_16_16 = e4 % 23.46/6.09 | % 23.46/6.09 | Instantiating formula (206) with e0, e4, all_0_4_4, e4 and discharging atoms op(e0, e4) = all_0_4_4, op(e0, e4) = e4, yields: % 23.46/6.09 | (4894) all_0_4_4 = e4 % 23.46/6.09 | % 23.46/6.09 | From (3249) and (3202) follows: % 23.46/6.09 | (187) op(e4, e4) = e2 % 23.46/6.09 | % 23.46/6.09 | From (4889) and (4881) follows: % 23.46/6.09 | (3509) op(e4, e0) = e3 % 23.46/6.09 | % 23.46/6.09 | From (4890) and (4830) follows: % 23.46/6.09 | (3882) op(e3, e4) = e0 % 23.46/6.09 | % 23.46/6.09 | From (443) and (404) follows: % 23.46/6.09 | (72) op(e2, e2) = e3 % 23.46/6.09 | % 23.46/6.09 | From (440) and (405) follows: % 23.46/6.09 | (406) op(e2, e1) = e2 % 23.46/6.09 | % 23.46/6.09 | From (4893) and (4868) follows: % 23.46/6.09 | (2643) op(e2, e0) = e4 % 23.46/6.09 | % 23.46/6.09 | From (4894) and (4791) follows: % 23.46/6.09 | (1387) op(e0, e4) = e4 % 23.46/6.09 | % 23.46/6.09 +-Applying beta-rule and splitting (55), into two cases. % 23.46/6.09 |-Branch one: % 23.46/6.09 | (529) unit = e1 % 23.46/6.09 | % 23.46/6.09 | From (529) and (162) follows: % 23.46/6.09 | (3923) op(e1, e4) = e4 % 23.46/6.09 | % 23.46/6.09 | From (529) and (143) follows: % 23.46/6.09 | (429) op(e1, e3) = e3 % 23.46/6.09 | % 23.46/6.09 | From (529) and (243) follows: % 23.46/6.09 | (530) op(e4, e1) = e4 % 23.46/6.09 | % 23.46/6.09 | From (529) and (221) follows: % 23.46/6.09 | (532) op(e1, e1) = e1 % 23.46/6.09 | % 23.46/6.09 | Instantiating formula (206) with e4, e1, e4, e0 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e0, yields: % 23.46/6.09 | (481) e4 = e0 % 23.46/6.09 | % 23.46/6.09 | Instantiating formula (206) with e1, e4, e4, e3 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e3, yields: % 23.46/6.09 | (392) e4 = e3 % 23.46/6.09 | % 23.46/6.09 | Instantiating formula (206) with e1, e3, e3, e2 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e2, yields: % 23.46/6.09 | (567) e3 = e2 % 23.46/6.09 | % 23.46/6.09 | Instantiating formula (206) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 23.46/6.09 | (535) e4 = e1 % 23.46/6.09 | % 23.46/6.09 | Combining equations (481,392) yields a new equation: % 23.46/6.09 | (534) e3 = e0 % 23.46/6.09 | % 23.46/6.09 | Combining equations (535,392) yields a new equation: % 23.46/6.09 | (420) e3 = e1 % 23.46/6.09 | % 23.46/6.09 | Combining equations (420,567) yields a new equation: % 23.46/6.09 | (544) e2 = e1 % 23.46/6.09 | % 23.46/6.09 | Combining equations (534,567) yields a new equation: % 23.46/6.09 | (569) e2 = e0 % 23.46/6.09 | % 23.46/6.09 | Combining equations (544,569) yields a new equation: % 23.46/6.09 | (296) e1 = e0 % 23.46/6.09 | % 23.46/6.09 | Simplifying 296 yields: % 23.46/6.09 | (297) e1 = e0 % 23.46/6.09 | % 23.46/6.09 | Equations (297) can reduce 231 to: % 23.46/6.09 | (298) $false % 23.46/6.09 | % 23.46/6.09 |-The branch is then unsatisfiable % 23.46/6.09 |-Branch two: % 23.46/6.09 | (540) ~ (unit = e1) % 23.46/6.09 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 23.46/6.09 | % 23.46/6.09 +-Applying beta-rule and splitting (541), into two cases. % 23.46/6.09 |-Branch one: % 23.46/6.09 | (542) unit = e0 % 23.46/6.09 | % 23.46/6.09 | From (542) and (243) follows: % 23.46/6.09 | (522) op(e4, e0) = e4 % 23.46/6.09 | % 23.46/6.09 | From (542) and (66) follows: % 23.46/6.09 | (2384) op(e2, e0) = e2 % 23.46/6.09 | % 23.46/6.09 | Instantiating formula (206) with e4, e0, e4, e3 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e3, yields: % 23.46/6.09 | (392) e4 = e3 % 23.46/6.09 | % 23.46/6.09 | Instantiating formula (206) with e2, e0, e2, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e2, yields: % 23.46/6.09 | (409) e4 = e2 % 23.46/6.09 | % 23.46/6.09 | Combining equations (392,409) yields a new equation: % 23.46/6.09 | (877) e3 = e2 % 23.46/6.09 | % 23.46/6.09 | Simplifying 877 yields: % 23.46/6.09 | (567) e3 = e2 % 23.46/6.09 | % 23.46/6.09 | Equations (567) can reduce 213 to: % 23.46/6.09 | (298) $false % 23.46/6.09 | % 23.46/6.09 |-The branch is then unsatisfiable % 23.46/6.09 |-Branch two: % 23.46/6.09 | (546) ~ (unit = e0) % 23.46/6.09 | (547) unit = e4 | unit = e3 | unit = e2 % 23.46/6.09 | % 23.46/6.09 +-Applying beta-rule and splitting (547), into two cases. % 23.46/6.09 |-Branch one: % 23.46/6.09 | (548) unit = e3 % 23.46/6.09 | % 23.46/6.09 | From (548) and (162) follows: % 23.46/6.09 | (499) op(e3, e4) = e4 % 23.46/6.09 | % 23.46/6.09 | From (548) and (24) follows: % 23.46/6.09 | (1180) op(e3, e2) = e2 % 23.46/6.09 | % 23.46/6.09 | From (548) and (221) follows: % 23.46/6.09 | (550) op(e1, e3) = e1 % 23.46/6.09 | % 23.46/6.09 | Instantiating formula (206) with e3, e4, e4, e0 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e0, yields: % 23.46/6.09 | (481) e4 = e0 % 23.46/6.09 | % 23.46/6.09 | Instantiating formula (206) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields: % 23.46/6.09 | (409) e4 = e2 % 23.46/6.09 | % 23.46/6.09 | Instantiating formula (206) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 23.46/6.10 | (544) e2 = e1 % 23.46/6.10 | % 23.46/6.10 | Combining equations (409,481) yields a new equation: % 23.46/6.10 | (568) e2 = e0 % 23.46/6.10 | % 23.46/6.10 | Simplifying 568 yields: % 23.46/6.10 | (569) e2 = e0 % 23.46/6.10 | % 23.46/6.10 | Combining equations (544,569) yields a new equation: % 23.46/6.10 | (296) e1 = e0 % 23.46/6.10 | % 23.46/6.10 | Simplifying 296 yields: % 23.46/6.10 | (297) e1 = e0 % 23.46/6.10 | % 23.46/6.10 | Equations (297) can reduce 231 to: % 23.46/6.10 | (298) $false % 23.46/6.10 | % 23.46/6.10 |-The branch is then unsatisfiable % 23.46/6.10 |-Branch two: % 23.46/6.10 | (555) ~ (unit = e3) % 23.46/6.10 | (556) unit = e4 | unit = e2 % 23.46/6.10 | % 23.46/6.10 +-Applying beta-rule and splitting (556), into two cases. % 23.46/6.10 |-Branch one: % 23.46/6.10 | (557) unit = e4 % 23.46/6.10 | % 23.46/6.10 | From (557) and (243) follows: % 23.46/6.10 | (560) op(e4, e4) = e4 % 23.46/6.10 | % 23.46/6.10 | From (557) and (66) follows: % 23.46/6.10 | (811) op(e2, e4) = e2 % 23.46/6.10 | % 23.46/6.10 | From (557) and (67) follows: % 23.46/6.10 | (812) op(e0, e4) = e0 % 23.46/6.10 | % 23.46/6.10 | Instantiating formula (206) with e4, e4, e4, e2 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e2, yields: % 23.46/6.10 | (409) e4 = e2 % 23.46/6.10 | % 23.46/6.10 | Instantiating formula (206) with e2, e4, e2, e1 and discharging atoms op(e2, e4) = e2, op(e2, e4) = e1, yields: % 23.46/6.10 | (544) e2 = e1 % 23.46/6.10 | % 23.46/6.10 | Instantiating formula (206) with e0, e4, e0, e4 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e0, yields: % 23.46/6.10 | (481) e4 = e0 % 23.46/6.10 | % 23.46/6.10 | Combining equations (409,481) yields a new equation: % 23.46/6.10 | (568) e2 = e0 % 23.46/6.10 | % 23.46/6.10 | Simplifying 568 yields: % 23.46/6.10 | (569) e2 = e0 % 23.46/6.10 | % 23.46/6.10 | Combining equations (544,569) yields a new equation: % 23.46/6.10 | (296) e1 = e0 % 23.46/6.10 | % 23.46/6.10 | Simplifying 296 yields: % 23.46/6.10 | (297) e1 = e0 % 23.46/6.10 | % 23.46/6.10 | Equations (297) can reduce 231 to: % 23.46/6.10 | (298) $false % 23.46/6.10 | % 23.46/6.10 |-The branch is then unsatisfiable % 23.46/6.10 |-Branch two: % 23.46/6.10 | (573) ~ (unit = e4) % 23.46/6.10 | (574) unit = e2 % 23.46/6.10 | % 23.46/6.10 | From (574) and (100) follows: % 23.46/6.10 | (825) op(e2, e1) = e1 % 23.46/6.10 | % 23.46/6.10 | From (574) and (60) follows: % 23.46/6.10 | (2455) op(e2, e0) = e0 % 23.46/6.10 | % 23.46/6.10 | From (574) and (74) follows: % 23.46/6.10 | (1207) op(e3, e2) = e3 % 23.46/6.10 | % 23.46/6.10 | From (574) and (66) follows: % 23.46/6.10 | (577) op(e2, e2) = e2 % 23.46/6.10 | % 23.46/6.10 | Instantiating formula (206) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 23.46/6.10 | (392) e4 = e3 % 23.46/6.10 | % 23.46/6.10 | Instantiating formula (206) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 23.46/6.10 | (567) e3 = e2 % 23.46/6.10 | % 23.46/6.10 | Instantiating formula (206) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 23.46/6.10 | (544) e2 = e1 % 23.46/6.10 | % 23.46/6.10 | Instantiating formula (206) with e2, e0, e0, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e0, yields: % 23.46/6.10 | (481) e4 = e0 % 23.46/6.10 | % 23.46/6.10 | Combining equations (392,481) yields a new equation: % 23.46/6.10 | (654) e3 = e0 % 23.46/6.10 | % 23.46/6.10 | Simplifying 654 yields: % 23.46/6.10 | (534) e3 = e0 % 23.46/6.10 | % 23.46/6.10 | Combining equations (534,567) yields a new equation: % 23.46/6.10 | (569) e2 = e0 % 23.46/6.10 | % 23.46/6.10 | Combining equations (544,569) yields a new equation: % 23.46/6.10 | (296) e1 = e0 % 23.46/6.10 | % 23.46/6.10 | Simplifying 296 yields: % 23.46/6.10 | (297) e1 = e0 % 23.46/6.10 | % 23.46/6.10 | Equations (297) can reduce 231 to: % 23.46/6.10 | (298) $false % 23.46/6.10 | % 23.46/6.10 |-The branch is then unsatisfiable % 23.46/6.10 |-Branch two: % 23.46/6.10 | (493) ~ (all_0_47_47 = e3) % 23.46/6.10 | (907) all_0_59_59 = e3 % 23.46/6.10 | % 23.46/6.10 | Combining equations (341,907) yields a new equation: % 23.46/6.10 | (420) e3 = e1 % 23.46/6.10 | % 23.46/6.10 | Equations (420) can reduce 214 to: % 23.46/6.10 | (298) $false % 23.46/6.10 | % 23.46/6.10 |-The branch is then unsatisfiable % 23.46/6.10 |-Branch two: % 23.46/6.10 | (661) ~ (all_0_50_50 = e0) % 23.46/6.10 | (1242) all_0_57_57 = e0 % 23.46/6.10 | % 23.46/6.10 | Combining equations (902,1242) yields a new equation: % 23.46/6.10 | (654) e3 = e0 % 23.46/6.10 | % 23.46/6.10 | Simplifying 654 yields: % 23.46/6.10 | (534) e3 = e0 % 23.46/6.10 | % 23.46/6.10 | Equations (534) can reduce 84 to: % 23.46/6.10 | (298) $false % 23.46/6.10 | % 23.46/6.10 |-The branch is then unsatisfiable % 23.46/6.10 |-Branch two: % 23.46/6.10 | (695) ~ (all_0_52_52 = e4) % 23.46/6.10 | (696) all_0_60_60 = e4 % 23.46/6.10 | % 23.46/6.10 | Combining equations (696,300) yields a new equation: % 23.46/6.10 | (480) e4 = e0 % 23.46/6.10 | % 23.46/6.10 | Simplifying 480 yields: % 23.46/6.10 | (481) e4 = e0 % 23.46/6.10 | % 23.46/6.10 | Equations (481) can reduce 47 to: % 23.46/6.10 | (298) $false % 23.46/6.10 | % 23.46/6.10 |-The branch is then unsatisfiable % 23.46/6.10 |-Branch two: % 23.46/6.10 | (363) ~ (all_0_48_48 = e2) % 23.46/6.10 | (927) all_0_52_52 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 23.46/6.10 | % 23.46/6.10 +-Applying beta-rule and splitting (1129), into two cases. % 23.46/6.10 |-Branch one: % 23.46/6.10 | (295) all_0_45_45 = e0 % 23.46/6.10 | % 23.46/6.10 | Combining equations (284,295) yields a new equation: % 23.46/6.10 | (296) e1 = e0 % 23.46/6.10 | % 23.46/6.10 | Simplifying 296 yields: % 23.46/6.10 | (297) e1 = e0 % 23.46/6.10 | % 23.46/6.10 | Equations (297) can reduce 231 to: % 23.46/6.10 | (298) $false % 23.46/6.10 | % 23.46/6.10 |-The branch is then unsatisfiable % 23.46/6.10 |-Branch two: % 23.46/6.10 | (299) ~ (all_0_45_45 = e0) % 23.46/6.10 | (1135) all_0_50_50 = e0 | all_0_57_57 = e0 % 23.46/6.10 | % 23.46/6.10 +-Applying beta-rule and splitting (1135), into two cases. % 23.46/6.10 |-Branch one: % 23.46/6.10 | (781) all_0_50_50 = e0 % 23.46/6.10 | % 23.46/6.10 | Equations (781) can reduce 596 to: % 23.46/6.10 | (485) ~ (e4 = e0) % 23.46/6.10 | % 23.46/6.10 | Simplifying 485 yields: % 23.46/6.10 | (47) ~ (e4 = e0) % 23.46/6.10 | % 23.46/6.10 +-Applying beta-rule and splitting (1512), into two cases. % 23.46/6.10 |-Branch one: % 23.46/6.10 | (591) all_0_47_47 = e3 % 23.46/6.10 | % 23.46/6.10 | Equations (591) can reduce 224 to: % 23.46/6.10 | (2268) ~ (all_0_48_48 = e3) % 23.46/6.10 | % 23.46/6.10 | Simplifying 2268 yields: % 23.46/6.10 | (711) ~ (all_0_48_48 = e3) % 23.46/6.10 | % 23.46/6.10 +-Applying beta-rule and splitting (509), into two cases. % 23.46/6.10 |-Branch one: % 23.46/6.10 | (523) all_0_50_50 = e4 % 23.46/6.10 | % 23.46/6.10 | Combining equations (781,523) yields a new equation: % 23.46/6.10 | (481) e4 = e0 % 23.46/6.10 | % 23.46/6.10 | Equations (481) can reduce 47 to: % 23.46/6.10 | (298) $false % 23.46/6.10 | % 23.46/6.10 |-The branch is then unsatisfiable % 23.46/6.10 |-Branch two: % 23.46/6.10 | (596) ~ (all_0_50_50 = e4) % 23.46/6.10 | (597) all_0_52_52 = e4 % 23.46/6.10 | % 23.46/6.10 | Equations (597) can reduce 88 to: % 23.46/6.10 | (690) ~ (all_0_48_48 = e4) % 23.46/6.10 | % 23.46/6.10 +-Applying beta-rule and splitting (716), into two cases. % 23.46/6.10 |-Branch one: % 23.46/6.10 | (717) all_0_48_48 = e0 % 23.46/6.10 | % 23.46/6.10 | Equations (717) can reduce 303 to: % 23.46/6.10 | (298) $false % 23.46/6.10 | % 23.46/6.10 |-The branch is then unsatisfiable % 23.46/6.10 |-Branch two: % 23.46/6.10 | (303) ~ (all_0_48_48 = e0) % 23.46/6.10 | (720) all_0_48_48 = e4 | all_0_48_48 = e3 | all_0_48_48 = e2 % 23.46/6.10 | % 23.46/6.10 +-Applying beta-rule and splitting (720), into two cases. % 23.46/6.10 |-Branch one: % 23.46/6.10 | (491) all_0_48_48 = e3 % 23.46/6.10 | % 23.46/6.10 | Equations (491) can reduce 711 to: % 23.46/6.10 | (298) $false % 23.46/6.10 | % 23.46/6.10 |-The branch is then unsatisfiable % 23.46/6.10 |-Branch two: % 23.46/6.10 | (711) ~ (all_0_48_48 = e3) % 23.46/6.10 | (724) all_0_48_48 = e4 | all_0_48_48 = e2 % 23.46/6.10 | % 23.46/6.10 +-Applying beta-rule and splitting (724), into two cases. % 23.46/6.10 |-Branch one: % 23.46/6.10 | (687) all_0_48_48 = e4 % 23.46/6.10 | % 23.46/6.10 | Equations (687) can reduce 690 to: % 23.46/6.10 | (298) $false % 23.46/6.10 | % 23.46/6.10 |-The branch is then unsatisfiable % 23.46/6.10 |-Branch two: % 23.46/6.10 | (690) ~ (all_0_48_48 = e4) % 23.46/6.10 | (743) all_0_48_48 = e2 % 23.46/6.10 | % 23.62/6.10 | Equations (743) can reduce 363 to: % 23.62/6.10 | (298) $false % 23.62/6.10 | % 23.62/6.10 |-The branch is then unsatisfiable % 23.62/6.10 |-Branch two: % 23.62/6.10 | (493) ~ (all_0_47_47 = e3) % 23.62/6.10 | (907) all_0_59_59 = e3 % 23.62/6.10 | % 23.62/6.10 | Combining equations (341,907) yields a new equation: % 23.62/6.10 | (420) e3 = e1 % 23.62/6.10 | % 23.62/6.10 | Equations (420) can reduce 214 to: % 23.62/6.10 | (298) $false % 23.62/6.10 | % 23.62/6.10 |-The branch is then unsatisfiable % 23.62/6.10 |-Branch two: % 23.62/6.10 | (661) ~ (all_0_50_50 = e0) % 23.62/6.10 | (1242) all_0_57_57 = e0 % 23.62/6.10 | % 23.62/6.10 | Combining equations (902,1242) yields a new equation: % 23.62/6.10 | (654) e3 = e0 % 23.62/6.10 | % 23.62/6.10 | Simplifying 654 yields: % 23.62/6.10 | (534) e3 = e0 % 23.62/6.10 | % 23.62/6.10 | Equations (534) can reduce 84 to: % 23.62/6.10 | (298) $false % 23.62/6.10 | % 23.62/6.10 |-The branch is then unsatisfiable % 23.62/6.10 |-Branch two: % 23.62/6.10 | (483) ~ (all_0_40_40 = e4) % 23.62/6.10 | (515) all_0_41_41 = e4 | all_0_43_43 = e4 % 23.62/6.10 | % 23.62/6.10 +-Applying beta-rule and splitting (109), into two cases. % 23.62/6.10 |-Branch one: % 23.62/6.10 | (747) all_0_40_40 = e1 % 23.62/6.10 | % 23.62/6.10 | Equations (747) can reduce 254 to: % 23.62/6.10 | (298) $false % 23.62/6.10 | % 23.62/6.10 |-The branch is then unsatisfiable % 23.62/6.10 |-Branch two: % 23.62/6.10 | (254) ~ (all_0_40_40 = e1) % 23.62/6.10 | (750) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e0 % 23.62/6.10 | % 23.62/6.10 +-Applying beta-rule and splitting (125), into two cases. % 23.62/6.10 |-Branch one: % 23.62/6.10 | (479) all_0_40_40 = e4 % 23.62/6.10 | % 23.62/6.10 | Equations (479) can reduce 483 to: % 23.62/6.10 | (298) $false % 23.62/6.10 | % 23.62/6.10 |-The branch is then unsatisfiable % 23.62/6.10 |-Branch two: % 23.62/6.10 | (483) ~ (all_0_40_40 = e4) % 23.62/6.10 | (484) all_0_45_45 = e4 | all_0_50_50 = e4 | all_0_57_57 = e4 % 23.62/6.10 | % 23.62/6.10 +-Applying beta-rule and splitting (750), into two cases. % 23.62/6.10 |-Branch one: % 23.62/6.10 | (461) all_0_40_40 = e0 % 23.62/6.10 | % 23.62/6.10 | Equations (461) can reduce 745 to: % 23.62/6.10 | (298) $false % 23.62/6.10 | % 23.62/6.10 |-The branch is then unsatisfiable % 23.62/6.10 |-Branch two: % 23.62/6.10 | (745) ~ (all_0_40_40 = e0) % 23.62/6.10 | (754) all_0_40_40 = e4 | all_0_40_40 = e3 % 23.62/6.10 | % 23.62/6.10 +-Applying beta-rule and splitting (754), into two cases. % 23.62/6.10 |-Branch one: % 23.62/6.10 | (755) all_0_40_40 = e3 % 23.62/6.10 | % 23.62/6.10 | Equations (755) can reduce 425 to: % 23.62/6.10 | (298) $false % 23.62/6.10 | % 23.62/6.10 |-The branch is then unsatisfiable % 23.62/6.10 |-Branch two: % 23.62/6.10 | (425) ~ (all_0_40_40 = e3) % 23.62/6.10 | (479) all_0_40_40 = e4 % 23.62/6.10 | % 23.62/6.10 | Equations (479) can reduce 483 to: % 23.62/6.10 | (298) $false % 23.62/6.10 | % 23.62/6.10 |-The branch is then unsatisfiable % 23.62/6.10 |-Branch two: % 23.62/6.10 | (463) ~ (all_0_42_42 = e0) % 23.62/6.10 | (1253) all_0_43_43 = e0 % 23.62/6.10 | % 23.62/6.10 | Equations (1253) can reduce 301 to: % 23.62/6.10 | (298) $false % 23.62/6.10 | % 23.62/6.10 |-The branch is then unsatisfiable % 23.62/6.10 |-Branch two: % 23.62/6.10 | (905) ~ (all_0_57_57 = e3) % 23.62/6.10 | (906) all_0_59_59 = e3 | all_0_60_60 = e3 % 23.62/6.10 | % 23.62/6.10 +-Applying beta-rule and splitting (906), into two cases. % 23.62/6.10 |-Branch one: % 23.62/6.10 | (907) all_0_59_59 = e3 % 23.62/6.10 | % 23.62/6.10 | Combining equations (341,907) yields a new equation: % 23.62/6.10 | (420) e3 = e1 % 23.62/6.10 | % 23.62/6.10 | Equations (420) can reduce 214 to: % 23.62/6.10 | (298) $false % 23.62/6.10 | % 23.62/6.10 |-The branch is then unsatisfiable % 23.62/6.10 |-Branch two: % 23.62/6.10 | (910) ~ (all_0_59_59 = e3) % 23.62/6.10 | (911) all_0_60_60 = e3 % 23.62/6.10 | % 23.62/6.10 | Combining equations (911,300) yields a new equation: % 23.62/6.10 | (654) e3 = e0 % 23.62/6.10 | % 23.62/6.10 | Simplifying 654 yields: % 23.62/6.10 | (534) e3 = e0 % 23.62/6.10 | % 23.62/6.10 | Equations (534) can reduce 84 to: % 23.62/6.10 | (298) $false % 23.62/6.10 | % 23.62/6.10 |-The branch is then unsatisfiable % 23.62/6.10 |-Branch two: % 23.62/6.10 | (2156) ~ (all_0_59_59 = e1) % 23.62/6.10 | (2157) all_0_60_60 = e1 % 23.62/6.10 | % 23.62/6.10 | Combining equations (300,2157) yields a new equation: % 23.62/6.10 | (297) e1 = e0 % 23.62/6.10 | % 23.62/6.10 | Equations (297) can reduce 231 to: % 23.62/6.10 | (298) $false % 23.62/6.10 | % 23.62/6.10 |-The branch is then unsatisfiable % 23.62/6.10 |-Branch two: % 23.62/6.10 | (329) ~ (all_0_49_49 = e1) % 23.62/6.10 | (460) all_0_49_49 = e4 | all_0_49_49 = e0 % 23.62/6.10 | % 23.62/6.10 +-Applying beta-rule and splitting (173), into two cases. % 23.62/6.10 |-Branch one: % 23.62/6.10 | (457) all_0_49_49 = e1 % 23.62/6.10 | % 23.62/6.10 | Equations (457) can reduce 329 to: % 23.62/6.10 | (298) $false % 23.62/6.10 | % 23.62/6.10 |-The branch is then unsatisfiable % 23.62/6.10 |-Branch two: % 23.62/6.10 | (329) ~ (all_0_49_49 = e1) % 23.62/6.10 | (3829) all_0_50_50 = e1 | all_0_51_51 = e1 | all_0_52_52 = e1 % 23.62/6.10 | % 23.62/6.10 +-Applying beta-rule and splitting (3829), into two cases. % 23.62/6.10 |-Branch one: % 23.62/6.10 | (771) all_0_50_50 = e1 % 23.62/6.10 | % 23.62/6.10 | Equations (771) can reduce 330 to: % 23.62/6.10 | (298) $false % 23.62/6.10 | % 23.62/6.10 |-The branch is then unsatisfiable % 23.62/6.10 |-Branch two: % 23.62/6.10 | (330) ~ (all_0_50_50 = e1) % 23.62/6.10 | (3841) all_0_51_51 = e1 | all_0_52_52 = e1 % 23.62/6.10 | % 23.62/6.10 +-Applying beta-rule and splitting (3841), into two cases. % 23.62/6.10 |-Branch one: % 23.62/6.10 | (1704) all_0_51_51 = e1 % 23.62/6.10 | % 23.62/6.10 | Equations (1704) can reduce 153 to: % 23.62/6.10 | (256) ~ (all_0_42_42 = e1) % 23.62/6.10 | % 23.62/6.10 | Equations (1704) can reduce 171 to: % 23.62/6.10 | (343) ~ (all_0_47_47 = e1) % 23.62/6.10 | % 23.62/6.10 | Equations (1704) can reduce 82 to: % 23.62/6.10 | (329) ~ (all_0_49_49 = e1) % 23.62/6.10 | % 23.62/6.10 | Equations (1704) can reduce 157 to: % 23.62/6.10 | (330) ~ (all_0_50_50 = e1) % 23.62/6.10 | % 23.62/6.10 | Equations (1704) can reduce 22 to: % 23.62/6.10 | (2229) ~ (all_0_52_52 = e1) % 23.62/6.10 | % 23.62/6.11 | Simplifying 2229 yields: % 23.62/6.11 | (2161) ~ (all_0_52_52 = e1) % 23.62/6.11 | % 23.62/6.11 | Equations (1704) can reduce 73 to: % 23.62/6.11 | (2217) ~ (all_0_59_59 = e1) % 23.62/6.11 | % 23.62/6.11 | Simplifying 2217 yields: % 23.62/6.11 | (2156) ~ (all_0_59_59 = e1) % 23.62/6.11 | % 23.62/6.11 | Equations (1704) can reduce 37 to: % 23.62/6.11 | (347) ~ (e4 = e1) % 23.62/6.11 | % 23.62/6.11 | Simplifying 347 yields: % 23.62/6.11 | (115) ~ (e4 = e1) % 23.62/6.11 | % 23.62/6.11 | From (1704) and (149) follows: % 23.62/6.11 | (825) op(e2, e1) = e1 % 23.62/6.11 | % 23.62/6.11 +-Applying beta-rule and splitting (32), into two cases. % 23.62/6.11 |-Branch one: % 23.62/6.11 | (368) all_0_47_47 = e2 % 23.62/6.11 | % 23.62/6.11 | Equations (368) can reduce 242 to: % 23.62/6.11 | (131) ~ (all_0_42_42 = e2) % 23.62/6.11 | % 23.62/6.11 | Equations (368) can reduce 224 to: % 23.62/6.11 | (362) ~ (all_0_48_48 = e2) % 23.62/6.11 | % 23.62/6.11 | Simplifying 362 yields: % 23.62/6.11 | (363) ~ (all_0_48_48 = e2) % 23.62/6.11 | % 23.62/6.11 | Equations (368) can reduce 119 to: % 23.62/6.11 | (2551) ~ (all_0_59_59 = e2) % 23.62/6.11 | % 23.62/6.11 | Simplifying 2551 yields: % 23.62/6.11 | (963) ~ (all_0_59_59 = e2) % 23.62/6.11 | % 23.62/6.11 | Equations (368) can reduce 76 to: % 23.62/6.11 | (399) ~ (e4 = e2) % 23.62/6.11 | % 23.62/6.11 | Simplifying 399 yields: % 23.62/6.11 | (46) ~ (e4 = e2) % 23.62/6.11 | % 23.62/6.11 | Equations (368) can reduce 343 to: % 23.62/6.11 | (134) ~ (e2 = e1) % 23.62/6.11 | % 23.62/6.11 | From (368) and (177) follows: % 23.62/6.11 | (5095) op(e2, e3) = all_0_13_13 % 23.62/6.11 | % 23.62/6.11 | From (368) and (235) follows: % 23.62/6.11 | (5096) op(e2, e1) = all_0_14_14 % 23.62/6.11 | % 23.62/6.11 +-Applying beta-rule and splitting (215), into two cases. % 23.62/6.11 |-Branch one: % 23.62/6.11 | (341) all_0_59_59 = e1 % 23.62/6.11 | % 23.62/6.11 | Equations (341) can reduce 2156 to: % 23.62/6.11 | (298) $false % 23.62/6.11 | % 23.62/6.11 |-The branch is then unsatisfiable % 23.62/6.11 |-Branch two: % 23.62/6.11 | (2156) ~ (all_0_59_59 = e1) % 23.62/6.11 | (2378) all_0_59_59 = e3 | all_0_59_59 = e2 | all_0_59_59 = e0 % 23.62/6.11 | % 23.62/6.11 +-Applying beta-rule and splitting (129), into two cases. % 23.62/6.11 |-Branch one: % 23.62/6.11 | (637) all_0_49_49 = e0 % 23.62/6.11 | % 23.62/6.11 | Equations (637) can reduce 652 to: % 23.62/6.11 | (298) $false % 23.62/6.11 | % 23.62/6.11 |-The branch is then unsatisfiable % 23.62/6.11 |-Branch two: % 23.62/6.11 | (652) ~ (all_0_49_49 = e0) % 23.62/6.11 | (682) all_0_50_50 = e0 | all_0_51_51 = e0 | all_0_52_52 = e0 % 23.62/6.11 | % 23.62/6.11 +-Applying beta-rule and splitting (2378), into two cases. % 23.62/6.11 |-Branch one: % 23.62/6.11 | (2627) all_0_59_59 = e0 % 23.62/6.11 | % 23.62/6.11 | Equations (2627) can reduce 309 to: % 23.62/6.11 | (298) $false % 23.62/6.11 | % 23.62/6.11 |-The branch is then unsatisfiable % 23.62/6.11 |-Branch two: % 23.62/6.11 | (309) ~ (all_0_59_59 = e0) % 23.62/6.11 | (2774) all_0_59_59 = e3 | all_0_59_59 = e2 % 23.62/6.11 | % 23.62/6.11 +-Applying beta-rule and splitting (2774), into two cases. % 23.62/6.11 |-Branch one: % 23.62/6.11 | (907) all_0_59_59 = e3 % 23.62/6.11 | % 23.62/6.11 | Equations (907) can reduce 118 to: % 23.62/6.11 | (847) ~ (all_0_42_42 = e3) % 23.62/6.11 | % 23.62/6.11 | Equations (907) can reduce 2156 to: % 23.62/6.11 | (214) ~ (e3 = e1) % 23.62/6.11 | % 23.62/6.11 | From (907) and (114) follows: % 23.62/6.11 | (2846) op(e0, e1) = e3 % 23.62/6.11 | % 23.62/6.11 +-Applying beta-rule and splitting (92), into two cases. % 23.62/6.11 |-Branch one: % 23.62/6.11 | (453) all_0_42_42 = e1 % 23.62/6.11 | % 23.62/6.11 | Equations (453) can reduce 256 to: % 23.62/6.11 | (298) $false % 23.62/6.11 | % 23.62/6.11 |-The branch is then unsatisfiable % 23.62/6.11 |-Branch two: % 23.62/6.11 | (256) ~ (all_0_42_42 = e1) % 23.62/6.11 | (456) all_0_42_42 = e3 | all_0_42_42 = e0 % 23.62/6.11 | % 23.62/6.11 +-Applying beta-rule and splitting (244), into two cases. % 23.62/6.11 |-Branch one: % 23.62/6.11 | (743) all_0_48_48 = e2 % 23.62/6.11 | % 23.62/6.11 | Equations (743) can reduce 363 to: % 23.62/6.11 | (298) $false % 23.62/6.11 | % 23.62/6.11 |-The branch is then unsatisfiable % 23.62/6.11 |-Branch two: % 23.62/6.11 | (363) ~ (all_0_48_48 = e2) % 23.62/6.11 | (927) all_0_52_52 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 23.62/6.11 | % 23.62/6.11 +-Applying beta-rule and splitting (456), into two cases. % 23.62/6.11 |-Branch one: % 23.62/6.11 | (466) all_0_42_42 = e0 % 23.62/6.11 | % 23.62/6.11 | Equations (466) can reduce 247 to: % 23.62/6.11 | (485) ~ (e4 = e0) % 23.62/6.11 | % 23.62/6.11 | Simplifying 485 yields: % 23.62/6.11 | (47) ~ (e4 = e0) % 23.62/6.11 | % 23.62/6.11 | Equations (466) can reduce 131 to: % 23.62/6.11 | (782) ~ (e2 = e0) % 23.62/6.11 | % 23.62/6.11 | Simplifying 782 yields: % 23.62/6.11 | (139) ~ (e2 = e0) % 23.62/6.11 | % 23.62/6.11 | Equations (466) can reduce 256 to: % 23.62/6.11 | (526) ~ (e1 = e0) % 23.62/6.11 | % 23.62/6.11 | Simplifying 526 yields: % 23.62/6.11 | (231) ~ (e1 = e0) % 23.62/6.11 | % 23.62/6.11 | From (466) and (19) follows: % 23.62/6.11 | (4791) op(e0, e4) = all_0_4_4 % 23.62/6.11 | % 23.62/6.11 | From (466) and (80) follows: % 23.62/6.11 | (5129) op(e0, e1) = all_0_5_5 % 23.62/6.11 | % 23.62/6.11 +-Applying beta-rule and splitting (927), into two cases. % 23.62/6.11 |-Branch one: % 23.62/6.11 | (938) all_0_52_52 = e2 % 23.62/6.11 | % 23.62/6.11 | Equations (938) can reduce 88 to: % 23.62/6.11 | (363) ~ (all_0_48_48 = e2) % 23.62/6.11 | % 23.62/6.11 | Equations (938) can reduce 44 to: % 23.62/6.11 | (86) ~ (all_0_49_49 = e2) % 23.62/6.11 | % 23.62/6.11 | Equations (938) can reduce 304 to: % 23.62/6.11 | (139) ~ (e2 = e0) % 23.62/6.11 | % 23.62/6.11 | From (938) and (49) follows: % 23.62/6.11 | (3794) op(e2, e2) = all_0_23_23 % 23.62/6.11 | % 23.62/6.11 +-Applying beta-rule and splitting (61), into two cases. % 23.62/6.11 |-Branch one: % 23.62/6.11 | (1299) all_0_44_44 = e1 % 23.62/6.11 | % 23.62/6.11 | Combining equations (500,1299) yields a new equation: % 23.62/6.11 | (297) e1 = e0 % 23.62/6.11 | % 23.62/6.11 | Equations (297) can reduce 231 to: % 23.62/6.11 | (298) $false % 23.62/6.11 | % 23.62/6.11 |-The branch is then unsatisfiable % 23.62/6.11 |-Branch two: % 23.62/6.11 | (273) ~ (all_0_44_44 = e1) % 23.62/6.11 | (4290) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_56_56 = e1 % 23.62/6.11 | % 23.62/6.11 +-Applying beta-rule and splitting (4290), into two cases. % 23.62/6.11 |-Branch one: % 23.62/6.11 | (457) all_0_49_49 = e1 % 23.62/6.11 | % 23.62/6.11 | Equations (457) can reduce 329 to: % 23.62/6.11 | (298) $false % 23.62/6.11 | % 23.62/6.11 |-The branch is then unsatisfiable % 23.62/6.11 |-Branch two: % 23.62/6.11 | (329) ~ (all_0_49_49 = e1) % 23.62/6.11 | (4324) all_0_53_53 = e1 | all_0_56_56 = e1 % 23.62/6.11 | % 23.62/6.11 +-Applying beta-rule and splitting (4324), into two cases. % 23.62/6.11 |-Branch one: % 23.62/6.11 | (272) all_0_53_53 = e1 % 23.62/6.11 | % 23.62/6.11 | Combining equations (419,272) yields a new equation: % 23.62/6.11 | (1084) e3 = e1 % 23.62/6.11 | % 23.62/6.11 | Simplifying 1084 yields: % 23.62/6.11 | (420) e3 = e1 % 23.62/6.11 | % 23.62/6.11 | Equations (420) can reduce 214 to: % 23.62/6.11 | (298) $false % 23.62/6.11 | % 23.62/6.11 |-The branch is then unsatisfiable % 23.62/6.11 |-Branch two: % 23.62/6.11 | (3699) ~ (all_0_53_53 = e1) % 23.62/6.11 | (314) all_0_56_56 = e1 % 23.62/6.11 | % 23.62/6.11 | Equations (314) can reduce 306 to: % 23.62/6.11 | (231) ~ (e1 = e0) % 23.62/6.11 | % 23.62/6.11 | From (314) and (48) follows: % 23.62/6.11 | (3825) op(e0, e4) = e1 % 23.62/6.11 | % 23.62/6.11 +-Applying beta-rule and splitting (237), into two cases. % 23.62/6.11 |-Branch one: % 23.62/6.11 | (390) all_0_56_56 = e4 % 23.62/6.11 | % 23.62/6.11 | Combining equations (314,390) yields a new equation: % 23.62/6.11 | (535) e4 = e1 % 23.62/6.11 | % 23.62/6.11 | Equations (535) can reduce 115 to: % 23.62/6.11 | (298) $false % 23.62/6.11 | % 23.62/6.11 |-The branch is then unsatisfiable % 23.62/6.11 |-Branch two: % 23.62/6.11 | (394) ~ (all_0_56_56 = e4) % 23.62/6.11 | (395) all_0_57_57 = e4 | all_0_58_58 = e4 | all_0_60_60 = e4 % 23.62/6.11 | % 23.62/6.11 +-Applying beta-rule and splitting (395), into two cases. % 23.62/6.11 |-Branch one: % 23.62/6.11 | (407) all_0_57_57 = e4 % 23.62/6.11 | % 23.62/6.11 | Equations (407) can reduce 9 to: % 23.62/6.11 | (596) ~ (all_0_50_50 = e4) % 23.62/6.11 | % 23.62/6.11 | Equations (407) can reduce 922 to: % 23.62/6.11 | (46) ~ (e4 = e2) % 23.62/6.11 | % 23.62/6.11 | From (407) and (3) follows: % 23.62/6.11 | (1752) op(e4, e0) = all_0_33_33 % 23.62/6.11 | % 23.62/6.11 | From (407) and (150) follows: % 23.62/6.11 | (1160) op(e0, e3) = e4 % 23.62/6.11 | % 23.62/6.11 +-Applying beta-rule and splitting (226), into two cases. % 23.62/6.11 |-Branch one: % 23.62/6.11 | (506) all_0_49_49 = e4 % 23.62/6.11 | % 23.62/6.11 | Equations (506) can reduce 86 to: % 23.62/6.11 | (46) ~ (e4 = e2) % 23.62/6.11 | % 23.62/6.11 | Equations (506) can reduce 652 to: % 23.62/6.11 | (47) ~ (e4 = e0) % 23.62/6.11 | % 23.62/6.11 | From (506) and (159) follows: % 23.62/6.11 | (1726) op(e4, e2) = all_0_17_17 % 23.62/6.11 | % 23.62/6.11 | From (506) and (110) follows: % 23.62/6.11 | (767) op(e2, e4) = e4 % 23.62/6.11 | % 23.62/6.11 +-Applying beta-rule and splitting (45), into two cases. % 23.62/6.11 |-Branch one: % 23.62/6.11 | (520) all_0_43_43 = e4 % 23.62/6.11 | % 23.62/6.11 | Equations (520) can reduce 16 to: % 23.62/6.11 | (4379) ~ (all_0_48_48 = e4) % 23.62/6.11 | % 23.62/6.11 | Simplifying 4379 yields: % 23.62/6.11 | (690) ~ (all_0_48_48 = e4) % 23.62/6.11 | % 23.62/6.11 | From (520) and (11) follows: % 23.62/6.11 | (1002) op(e4, e0) = all_0_7_7 % 23.62/6.11 | % 23.62/6.11 | From (520) and (34) follows: % 23.62/6.11 | (522) op(e4, e0) = e4 % 23.62/6.11 | % 23.62/6.11 +-Applying beta-rule and splitting (682), into two cases. % 23.62/6.11 |-Branch one: % 23.62/6.11 | (781) all_0_50_50 = e0 % 23.62/6.11 | % 23.62/6.11 | Equations (781) can reduce 330 to: % 23.62/6.11 | (526) ~ (e1 = e0) % 23.62/6.11 | % 23.62/6.11 | Simplifying 526 yields: % 23.62/6.11 | (231) ~ (e1 = e0) % 23.62/6.11 | % 23.62/6.11 | From (781) and (41) follows: % 23.62/6.11 | (5175) op(e0, e3) = all_0_20_20 % 23.62/6.11 | % 23.62/6.11 | From (781) and (207) follows: % 23.62/6.11 | (786) op(e2, e3) = e0 % 23.62/6.11 | % 23.62/6.11 +-Applying beta-rule and splitting (8), into two cases. % 23.62/6.11 |-Branch one: % 23.62/6.11 | (318) all_0_48_48 = e1 % 23.62/6.11 | % 23.62/6.11 | Equations (318) can reduce 290 to: % 23.62/6.11 | (298) $false % 23.62/6.11 | % 23.62/6.11 |-The branch is then unsatisfiable % 23.62/6.11 |-Branch two: % 23.62/6.11 | (290) ~ (all_0_48_48 = e1) % 23.62/6.11 | (716) all_0_48_48 = e4 | all_0_48_48 = e3 | all_0_48_48 = e2 | all_0_48_48 = e0 % 23.62/6.11 | % 23.62/6.11 +-Applying beta-rule and splitting (716), into two cases. % 23.62/6.11 |-Branch one: % 23.62/6.11 | (717) all_0_48_48 = e0 % 23.62/6.11 | % 23.62/6.11 | Equations (717) can reduce 303 to: % 23.62/6.11 | (298) $false % 23.62/6.11 | % 23.62/6.11 |-The branch is then unsatisfiable % 23.62/6.11 |-Branch two: % 23.62/6.11 | (303) ~ (all_0_48_48 = e0) % 23.62/6.11 | (720) all_0_48_48 = e4 | all_0_48_48 = e3 | all_0_48_48 = e2 % 23.62/6.11 | % 23.62/6.11 +-Applying beta-rule and splitting (720), into two cases. % 23.62/6.11 |-Branch one: % 23.62/6.11 | (491) all_0_48_48 = e3 % 23.62/6.11 | % 23.62/6.11 | Equations (491) can reduce 290 to: % 23.62/6.11 | (214) ~ (e3 = e1) % 23.62/6.11 | % 23.62/6.11 | Instantiating formula (206) with e4, e2, all_0_17_17, e1 and discharging atoms op(e4, e2) = all_0_17_17, op(e4, e2) = e1, yields: % 23.62/6.11 | (1754) all_0_17_17 = e1 % 23.62/6.11 | % 23.62/6.11 | Instantiating formula (206) with e4, e0, all_0_33_33, all_0_7_7 and discharging atoms op(e4, e0) = all_0_7_7, op(e4, e0) = all_0_33_33, yields: % 23.62/6.11 | (5188) all_0_7_7 = all_0_33_33 % 23.62/6.11 | % 23.62/6.11 | Instantiating formula (206) with e4, e0, e4, all_0_7_7 and discharging atoms op(e4, e0) = all_0_7_7, op(e4, e0) = e4, yields: % 23.62/6.11 | (1006) all_0_7_7 = e4 % 23.62/6.11 | % 23.62/6.11 | Instantiating formula (206) with e2, e3, e0, all_0_13_13 and discharging atoms op(e2, e3) = all_0_13_13, op(e2, e3) = e0, yields: % 23.62/6.12 | (5190) all_0_13_13 = e0 % 23.62/6.12 | % 23.62/6.12 | Instantiating formula (206) with e2, e2, all_0_23_23, e3 and discharging atoms op(e2, e2) = all_0_23_23, op(e2, e2) = e3, yields: % 23.62/6.12 | (3860) all_0_23_23 = e3 % 23.62/6.12 | % 23.62/6.12 | Instantiating formula (206) with e2, e1, e1, all_0_14_14 and discharging atoms op(e2, e1) = all_0_14_14, op(e2, e1) = e1, yields: % 23.62/6.12 | (5192) all_0_14_14 = e1 % 23.62/6.12 | % 23.62/6.12 | Instantiating formula (206) with e0, e4, e1, all_0_4_4 and discharging atoms op(e0, e4) = all_0_4_4, op(e0, e4) = e1, yields: % 23.62/6.12 | (5193) all_0_4_4 = e1 % 23.62/6.12 | % 23.62/6.12 | Instantiating formula (206) with e0, e3, e4, all_0_20_20 and discharging atoms op(e0, e3) = all_0_20_20, op(e0, e3) = e4, yields: % 23.62/6.12 | (5194) all_0_20_20 = e4 % 23.62/6.12 | % 23.62/6.12 | Instantiating formula (206) with e0, e1, e3, all_0_5_5 and discharging atoms op(e0, e1) = all_0_5_5, op(e0, e1) = e3, yields: % 23.62/6.12 | (5195) all_0_5_5 = e3 % 23.62/6.12 | % 23.62/6.12 | Combining equations (5188,1006) yields a new equation: % 23.62/6.12 | (5196) all_0_33_33 = e4 % 23.62/6.12 | % 23.62/6.12 | Simplifying 5196 yields: % 23.62/6.12 | (1755) all_0_33_33 = e4 % 23.62/6.12 | % 23.62/6.12 | From (1754) and (1726) follows: % 23.62/6.12 | (268) op(e4, e2) = e1 % 23.62/6.12 | % 23.62/6.12 | From (1755) and (1752) follows: % 23.62/6.12 | (522) op(e4, e0) = e4 % 23.62/6.12 | % 23.62/6.12 | From (5190) and (5095) follows: % 23.62/6.12 | (786) op(e2, e3) = e0 % 23.62/6.12 | % 23.62/6.12 | From (3860) and (3794) follows: % 23.62/6.12 | (72) op(e2, e2) = e3 % 23.62/6.12 | % 23.62/6.12 | From (5192) and (5096) follows: % 23.62/6.12 | (825) op(e2, e1) = e1 % 23.62/6.12 | % 23.62/6.12 | From (5193) and (4791) follows: % 23.62/6.12 | (3825) op(e0, e4) = e1 % 23.62/6.12 | % 23.62/6.12 | From (5194) and (5175) follows: % 23.62/6.12 | (1160) op(e0, e3) = e4 % 23.62/6.12 | % 23.62/6.12 | From (5195) and (5129) follows: % 23.62/6.12 | (2846) op(e0, e1) = e3 % 23.62/6.12 | % 23.62/6.12 +-Applying beta-rule and splitting (55), into two cases. % 23.62/6.12 |-Branch one: % 23.62/6.12 | (529) unit = e1 % 23.62/6.12 | % 23.62/6.12 | From (529) and (143) follows: % 23.62/6.12 | (429) op(e1, e3) = e3 % 23.62/6.12 | % 23.62/6.12 | From (529) and (66) follows: % 23.62/6.12 | (406) op(e2, e1) = e2 % 23.62/6.12 | % 23.62/6.12 | From (529) and (67) follows: % 23.62/6.12 | (2913) op(e0, e1) = e0 % 23.62/6.12 | % 23.62/6.12 | Instantiating formula (206) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 23.62/6.12 | (544) e2 = e1 % 23.62/6.12 | % 23.62/6.12 | Instantiating formula (206) with e1, e3, e3, e2 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e2, yields: % 23.62/6.12 | (567) e3 = e2 % 23.62/6.12 | % 23.62/6.12 | Instantiating formula (206) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields: % 23.62/6.12 | (534) e3 = e0 % 23.62/6.12 | % 23.62/6.12 | Combining equations (567,534) yields a new equation: % 23.62/6.12 | (568) e2 = e0 % 23.62/6.12 | % 23.62/6.12 | Simplifying 568 yields: % 23.62/6.12 | (569) e2 = e0 % 23.62/6.12 | % 23.62/6.12 | Combining equations (569,544) yields a new equation: % 23.62/6.12 | (297) e1 = e0 % 23.62/6.12 | % 23.62/6.12 | Equations (297) can reduce 231 to: % 23.62/6.12 | (298) $false % 23.62/6.12 | % 23.62/6.12 |-The branch is then unsatisfiable % 23.62/6.12 |-Branch two: % 23.62/6.12 | (540) ~ (unit = e1) % 23.62/6.12 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 23.62/6.12 | % 23.62/6.12 +-Applying beta-rule and splitting (541), into two cases. % 23.62/6.12 |-Branch one: % 23.62/6.12 | (542) unit = e0 % 23.62/6.12 | % 23.62/6.12 | From (542) and (162) follows: % 23.62/6.12 | (1387) op(e0, e4) = e4 % 23.62/6.12 | % 23.62/6.12 | From (542) and (143) follows: % 23.62/6.12 | (1389) op(e0, e3) = e3 % 23.62/6.12 | % 23.62/6.12 | Instantiating formula (206) with e0, e4, e4, e1 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e1, yields: % 23.62/6.12 | (535) e4 = e1 % 23.62/6.12 | % 23.62/6.12 | Instantiating formula (206) with e0, e3, e3, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e3, yields: % 23.62/6.12 | (392) e4 = e3 % 23.62/6.12 | % 23.62/6.12 | Combining equations (535,392) yields a new equation: % 23.62/6.12 | (420) e3 = e1 % 23.62/6.12 | % 23.62/6.12 | Equations (420) can reduce 214 to: % 23.62/6.12 | (298) $false % 23.62/6.12 | % 23.62/6.12 |-The branch is then unsatisfiable % 23.62/6.12 |-Branch two: % 23.62/6.12 | (546) ~ (unit = e0) % 23.62/6.12 | (547) unit = e4 | unit = e3 | unit = e2 % 23.62/6.12 | % 23.62/6.12 +-Applying beta-rule and splitting (547), into two cases. % 23.62/6.12 |-Branch one: % 23.62/6.12 | (548) unit = e3 % 23.62/6.12 | % 23.62/6.12 | From (548) and (24) follows: % 23.62/6.12 | (1180) op(e3, e2) = e2 % 23.62/6.12 | % 23.62/6.12 | From (548) and (221) follows: % 23.62/6.12 | (550) op(e1, e3) = e1 % 23.62/6.12 | % 23.62/6.12 | From (548) and (67) follows: % 23.62/6.12 | (803) op(e0, e3) = e0 % 23.62/6.12 | % 23.62/6.12 | Instantiating formula (206) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields: % 23.62/6.12 | (409) e4 = e2 % 23.62/6.12 | % 23.62/6.12 | Instantiating formula (206) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 23.62/6.12 | (544) e2 = e1 % 23.62/6.12 | % 23.62/6.12 | Instantiating formula (206) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 23.62/6.12 | (481) e4 = e0 % 23.62/6.12 | % 23.62/6.12 | Combining equations (409,481) yields a new equation: % 23.62/6.12 | (568) e2 = e0 % 23.62/6.12 | % 23.62/6.12 | Simplifying 568 yields: % 23.62/6.12 | (569) e2 = e0 % 23.62/6.12 | % 23.62/6.12 | Combining equations (544,569) yields a new equation: % 23.62/6.12 | (296) e1 = e0 % 23.62/6.12 | % 23.62/6.12 | Simplifying 296 yields: % 23.62/6.12 | (297) e1 = e0 % 23.62/6.12 | % 23.62/6.12 | Equations (297) can reduce 231 to: % 23.62/6.12 | (298) $false % 23.62/6.12 | % 23.62/6.12 |-The branch is then unsatisfiable % 23.62/6.12 |-Branch two: % 23.62/6.12 | (555) ~ (unit = e3) % 23.62/6.12 | (556) unit = e4 | unit = e2 % 23.62/6.12 | % 23.62/6.12 +-Applying beta-rule and splitting (556), into two cases. % 23.62/6.12 |-Branch one: % 23.62/6.12 | (557) unit = e4 % 23.62/6.12 | % 23.62/6.12 | From (557) and (24) follows: % 23.62/6.12 | (558) op(e4, e2) = e2 % 23.62/6.12 | % 23.62/6.12 | From (557) and (60) follows: % 23.62/6.12 | (559) op(e4, e0) = e0 % 23.62/6.12 | % 23.62/6.12 | From (557) and (66) follows: % 23.62/6.12 | (811) op(e2, e4) = e2 % 23.62/6.12 | % 23.62/6.12 | Instantiating formula (206) with e4, e2, e2, e1 and discharging atoms op(e4, e2) = e2, op(e4, e2) = e1, yields: % 23.62/6.12 | (544) e2 = e1 % 23.62/6.12 | % 23.62/6.12 | Instantiating formula (206) with e4, e0, e0, e4 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 23.62/6.12 | (481) e4 = e0 % 23.62/6.12 | % 23.62/6.12 | Instantiating formula (206) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 23.62/6.12 | (409) e4 = e2 % 23.62/6.12 | % 23.62/6.12 | Combining equations (481,409) yields a new equation: % 23.62/6.12 | (569) e2 = e0 % 23.62/6.12 | % 23.62/6.12 | Combining equations (569,544) yields a new equation: % 23.62/6.12 | (297) e1 = e0 % 23.62/6.12 | % 23.62/6.12 | Equations (297) can reduce 231 to: % 23.62/6.12 | (298) $false % 23.62/6.12 | % 23.62/6.12 |-The branch is then unsatisfiable % 23.62/6.12 |-Branch two: % 23.62/6.12 | (573) ~ (unit = e4) % 23.62/6.12 | (574) unit = e2 % 23.62/6.12 | % 23.62/6.12 | From (574) and (143) follows: % 23.62/6.12 | (575) op(e2, e3) = e3 % 23.62/6.12 | % 23.62/6.12 | From (574) and (243) follows: % 23.62/6.12 | (576) op(e4, e2) = e4 % 23.62/6.12 | % 23.62/6.12 | From (574) and (74) follows: % 23.62/6.12 | (1207) op(e3, e2) = e3 % 23.62/6.12 | % 23.62/6.12 | From (574) and (66) follows: % 23.62/6.12 | (577) op(e2, e2) = e2 % 23.62/6.12 | % 23.62/6.12 | Instantiating formula (206) with e4, e2, e4, e1 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e1, yields: % 23.62/6.12 | (535) e4 = e1 % 23.62/6.12 | % 23.62/6.12 | Instantiating formula (206) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 23.62/6.12 | (392) e4 = e3 % 23.62/6.12 | % 23.62/6.12 | Instantiating formula (206) with e2, e3, e3, e0 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e0, yields: % 23.62/6.12 | (534) e3 = e0 % 23.62/6.12 | % 23.62/6.12 | Instantiating formula (206) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 23.62/6.12 | (567) e3 = e2 % 23.62/6.12 | % 23.62/6.12 | Combining equations (535,392) yields a new equation: % 23.62/6.12 | (420) e3 = e1 % 23.62/6.12 | % 23.62/6.12 | Combining equations (420,567) yields a new equation: % 23.62/6.12 | (544) e2 = e1 % 23.62/6.12 | % 23.62/6.12 | Combining equations (534,567) yields a new equation: % 23.62/6.12 | (569) e2 = e0 % 23.62/6.12 | % 23.62/6.12 | Combining equations (544,569) yields a new equation: % 23.62/6.12 | (296) e1 = e0 % 23.62/6.12 | % 23.62/6.12 | Simplifying 296 yields: % 23.62/6.12 | (297) e1 = e0 % 23.62/6.12 | % 23.62/6.12 | Equations (297) can reduce 231 to: % 23.62/6.12 | (298) $false % 23.62/6.12 | % 23.62/6.12 |-The branch is then unsatisfiable % 23.62/6.12 |-Branch two: % 23.62/6.12 | (711) ~ (all_0_48_48 = e3) % 23.62/6.12 | (724) all_0_48_48 = e4 | all_0_48_48 = e2 % 23.62/6.12 | % 23.62/6.12 +-Applying beta-rule and splitting (724), into two cases. % 23.62/6.12 |-Branch one: % 23.62/6.12 | (687) all_0_48_48 = e4 % 23.62/6.12 | % 23.62/6.12 | Equations (687) can reduce 690 to: % 23.62/6.12 | (298) $false % 23.62/6.12 | % 23.62/6.12 |-The branch is then unsatisfiable % 23.62/6.12 |-Branch two: % 23.62/6.12 | (690) ~ (all_0_48_48 = e4) % 23.62/6.12 | (743) all_0_48_48 = e2 % 23.62/6.12 | % 23.62/6.12 | Equations (743) can reduce 363 to: % 23.62/6.12 | (298) $false % 23.62/6.12 | % 23.62/6.12 |-The branch is then unsatisfiable % 23.62/6.12 |-Branch two: % 23.62/6.12 | (661) ~ (all_0_50_50 = e0) % 23.62/6.13 | (2072) all_0_51_51 = e0 | all_0_52_52 = e0 % 23.62/6.13 | % 23.62/6.13 +-Applying beta-rule and splitting (2072), into two cases. % 23.62/6.13 |-Branch one: % 23.62/6.13 | (1730) all_0_51_51 = e0 % 23.62/6.13 | % 23.62/6.13 | Combining equations (1704,1730) yields a new equation: % 23.62/6.13 | (296) e1 = e0 % 23.62/6.13 | % 23.62/6.13 | Simplifying 296 yields: % 23.62/6.13 | (297) e1 = e0 % 23.62/6.13 | % 23.62/6.13 | Equations (297) can reduce 231 to: % 23.62/6.13 | (298) $false % 23.62/6.13 | % 23.62/6.13 |-The branch is then unsatisfiable % 23.62/6.13 |-Branch two: % 23.62/6.13 | (1871) ~ (all_0_51_51 = e0) % 23.62/6.13 | (2078) all_0_52_52 = e0 % 23.62/6.13 | % 23.62/6.13 | Combining equations (2078,938) yields a new equation: % 23.62/6.13 | (569) e2 = e0 % 23.62/6.13 | % 23.62/6.13 | Equations (569) can reduce 139 to: % 23.62/6.13 | (298) $false % 23.62/6.13 | % 23.62/6.13 |-The branch is then unsatisfiable % 23.62/6.13 |-Branch two: % 23.62/6.13 | (601) ~ (all_0_43_43 = e4) % 23.62/6.13 | (602) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_60_60 = e4 % 23.62/6.13 | % 23.62/6.13 +-Applying beta-rule and splitting (602), into two cases. % 23.62/6.13 |-Branch one: % 23.62/6.13 | (687) all_0_48_48 = e4 % 23.62/6.13 | % 23.62/6.13 | Equations (687) can reduce 690 to: % 23.62/6.13 | (298) $false % 23.62/6.13 | % 23.62/6.13 |-The branch is then unsatisfiable % 23.62/6.13 |-Branch two: % 23.62/6.13 | (690) ~ (all_0_48_48 = e4) % 23.62/6.13 | (691) all_0_52_52 = e4 | all_0_60_60 = e4 % 23.62/6.13 | % 23.62/6.13 +-Applying beta-rule and splitting (691), into two cases. % 23.62/6.13 |-Branch one: % 23.62/6.13 | (597) all_0_52_52 = e4 % 23.62/6.13 | % 23.62/6.13 | Combining equations (938,597) yields a new equation: % 23.62/6.13 | (409) e4 = e2 % 23.62/6.13 | % 23.62/6.13 | Equations (409) can reduce 46 to: % 23.62/6.13 | (298) $false % 23.62/6.13 | % 23.62/6.13 |-The branch is then unsatisfiable % 23.62/6.13 |-Branch two: % 23.62/6.13 | (695) ~ (all_0_52_52 = e4) % 23.62/6.13 | (696) all_0_60_60 = e4 % 23.62/6.13 | % 23.62/6.13 | Combining equations (300,696) yields a new equation: % 23.62/6.13 | (481) e4 = e0 % 23.62/6.13 | % 23.62/6.13 | Equations (481) can reduce 47 to: % 23.62/6.13 | (298) $false % 23.62/6.13 | % 23.62/6.13 |-The branch is then unsatisfiable % 23.62/6.13 |-Branch two: % 23.62/6.13 | (497) ~ (all_0_49_49 = e4) % 23.62/6.13 | (509) all_0_50_50 = e4 | all_0_52_52 = e4 % 23.62/6.13 | % 23.62/6.13 +-Applying beta-rule and splitting (509), into two cases. % 23.62/6.13 |-Branch one: % 23.62/6.13 | (523) all_0_50_50 = e4 % 23.62/6.13 | % 23.62/6.13 | Equations (523) can reduce 596 to: % 23.62/6.13 | (298) $false % 23.62/6.13 | % 23.62/6.13 |-The branch is then unsatisfiable % 23.62/6.13 |-Branch two: % 23.62/6.13 | (596) ~ (all_0_50_50 = e4) % 23.62/6.13 | (597) all_0_52_52 = e4 % 23.62/6.13 | % 23.62/6.13 | Combining equations (938,597) yields a new equation: % 23.62/6.13 | (409) e4 = e2 % 23.62/6.13 | % 23.62/6.13 | Equations (409) can reduce 46 to: % 23.62/6.13 | (298) $false % 23.62/6.13 | % 23.62/6.13 |-The branch is then unsatisfiable % 23.62/6.13 |-Branch two: % 23.62/6.13 | (411) ~ (all_0_57_57 = e4) % 23.62/6.13 | (412) all_0_58_58 = e4 | all_0_60_60 = e4 % 23.62/6.13 | % 23.62/6.13 +-Applying beta-rule and splitting (412), into two cases. % 23.62/6.13 |-Branch one: % 23.62/6.13 | (413) all_0_58_58 = e4 % 23.62/6.13 | % 23.62/6.13 | Combining equations (955,413) yields a new equation: % 23.62/6.13 | (409) e4 = e2 % 23.62/6.13 | % 23.62/6.13 | Equations (409) can reduce 46 to: % 23.62/6.13 | (298) $false % 23.62/6.13 | % 23.62/6.13 |-The branch is then unsatisfiable % 23.62/6.13 |-Branch two: % 23.62/6.13 | (880) ~ (all_0_58_58 = e4) % 23.62/6.13 | (696) all_0_60_60 = e4 % 23.62/6.13 | % 23.62/6.13 | Combining equations (696,300) yields a new equation: % 23.62/6.13 | (480) e4 = e0 % 23.62/6.13 | % 23.62/6.13 | Simplifying 480 yields: % 23.62/6.13 | (481) e4 = e0 % 23.62/6.13 | % 23.62/6.13 | Equations (481) can reduce 47 to: % 23.62/6.13 | (298) $false % 23.62/6.13 | % 23.62/6.13 |-The branch is then unsatisfiable % 23.62/6.13 |-Branch two: % 23.62/6.13 | (941) ~ (all_0_52_52 = e2) % 23.62/6.13 | (942) all_0_55_55 = e2 | all_0_60_60 = e2 % 23.62/6.13 | % 23.62/6.13 +-Applying beta-rule and splitting (942), into two cases. % 23.62/6.13 |-Branch one: % 23.62/6.13 | (385) all_0_55_55 = e2 % 23.62/6.13 | % 23.62/6.13 | Combining equations (385,1029) yields a new equation: % 23.62/6.13 | (887) e2 = e1 % 23.62/6.13 | % 23.62/6.13 | Simplifying 887 yields: % 23.62/6.13 | (544) e2 = e1 % 23.62/6.13 | % 23.62/6.13 | Equations (544) can reduce 134 to: % 23.62/6.13 | (298) $false % 23.62/6.13 | % 23.62/6.13 |-The branch is then unsatisfiable % 23.62/6.13 |-Branch two: % 23.62/6.13 | (968) ~ (all_0_55_55 = e2) % 23.62/6.13 | (964) all_0_60_60 = e2 % 23.62/6.13 | % 23.62/6.13 | Combining equations (300,964) yields a new equation: % 23.62/6.13 | (569) e2 = e0 % 23.62/6.13 | % 23.62/6.13 | Equations (569) can reduce 139 to: % 23.62/6.13 | (298) $false % 23.62/6.13 | % 23.62/6.13 |-The branch is then unsatisfiable % 23.62/6.13 |-Branch two: % 23.62/6.13 | (463) ~ (all_0_42_42 = e0) % 23.62/6.13 | (469) all_0_42_42 = e3 % 23.62/6.13 | % 23.62/6.13 | Equations (469) can reduce 847 to: % 23.62/6.13 | (298) $false % 23.62/6.13 | % 23.62/6.13 |-The branch is then unsatisfiable % 23.62/6.13 |-Branch two: % 23.62/6.13 | (910) ~ (all_0_59_59 = e3) % 23.62/6.13 | (886) all_0_59_59 = e2 % 23.62/6.13 | % 23.62/6.13 | Equations (886) can reduce 963 to: % 23.62/6.13 | (298) $false % 23.62/6.13 | % 23.62/6.13 |-The branch is then unsatisfiable % 23.62/6.13 |-Branch two: % 23.62/6.13 | (361) ~ (all_0_47_47 = e2) % 23.62/6.13 | (371) all_0_51_51 = e2 | all_0_59_59 = e2 % 23.62/6.13 | % 23.62/6.13 +-Applying beta-rule and splitting (103), into two cases. % 23.62/6.13 |-Branch one: % 23.62/6.13 | (838) all_0_50_50 = e2 % 23.62/6.13 | % 23.62/6.13 | Equations (838) can reduce 398 to: % 23.62/6.13 | (298) $false % 23.62/6.13 | % 23.62/6.13 |-The branch is then unsatisfiable % 23.62/6.13 |-Branch two: % 23.62/6.13 | (398) ~ (all_0_50_50 = e2) % 23.62/6.13 | (1906) all_0_51_51 = e2 | all_0_52_52 = e2 % 23.62/6.13 | % 23.62/6.13 +-Applying beta-rule and splitting (1906), into two cases. % 23.62/6.13 |-Branch one: % 23.62/6.13 | (396) all_0_51_51 = e2 % 23.62/6.13 | % 23.62/6.13 | Combining equations (1704,396) yields a new equation: % 23.62/6.13 | (544) e2 = e1 % 23.62/6.13 | % 23.62/6.13 | Equations (544) can reduce 134 to: % 23.62/6.13 | (298) $false % 23.62/6.13 | % 23.62/6.13 |-The branch is then unsatisfiable % 23.62/6.13 |-Branch two: % 23.62/6.13 | (885) ~ (all_0_51_51 = e2) % 23.62/6.13 | (938) all_0_52_52 = e2 % 23.62/6.13 | % 23.62/6.13 | Equations (938) can reduce 2161 to: % 23.62/6.13 | (134) ~ (e2 = e1) % 23.62/6.13 | % 23.62/6.13 +-Applying beta-rule and splitting (371), into two cases. % 23.62/6.13 |-Branch one: % 23.62/6.13 | (396) all_0_51_51 = e2 % 23.62/6.13 | % 23.62/6.13 | Combining equations (1704,396) yields a new equation: % 23.62/6.13 | (544) e2 = e1 % 23.62/6.13 | % 23.62/6.13 | Equations (544) can reduce 134 to: % 23.62/6.13 | (298) $false % 23.62/6.13 | % 23.62/6.13 |-The branch is then unsatisfiable % 23.62/6.13 |-Branch two: % 23.62/6.13 | (885) ~ (all_0_51_51 = e2) % 23.62/6.13 | (886) all_0_59_59 = e2 % 23.62/6.13 | % 23.62/6.13 | Equations (886) can reduce 963 to: % 23.62/6.13 | (298) $false % 23.62/6.13 | % 23.62/6.13 |-The branch is then unsatisfiable % 23.62/6.13 |-Branch two: % 23.62/6.13 | (344) ~ (all_0_51_51 = e1) % 23.62/6.13 | (326) all_0_52_52 = e1 % 23.62/6.13 | % 23.62/6.13 | Equations (326) can reduce 2161 to: % 23.62/6.13 | (298) $false % 23.62/6.13 | % 23.62/6.13 |-The branch is then unsatisfiable % 23.62/6.13 |-Branch two: % 23.62/6.13 | (503) ~ (all_0_44_44 = e0) % 23.62/6.13 | (1306) all_0_44_44 = e4 | all_0_44_44 = e3 % 23.62/6.13 | % 23.62/6.13 +-Applying beta-rule and splitting (1306), into two cases. % 23.62/6.13 |-Branch one: % 23.62/6.13 | (892) all_0_44_44 = e3 % 23.62/6.13 | % 23.62/6.13 | Equations (892) can reduce 914 to: % 23.62/6.13 | (298) $false % 23.62/6.13 | % 23.62/6.13 |-The branch is then unsatisfiable % 23.62/6.13 |-Branch two: % 23.62/6.13 | (914) ~ (all_0_44_44 = e3) % 23.62/6.13 | (495) all_0_44_44 = e4 % 23.62/6.13 | % 23.62/6.13 | Equations (495) can reduce 610 to: % 23.62/6.13 | (298) $false % 23.62/6.13 | % 23.62/6.13 |-The branch is then unsatisfiable % 23.62/6.13 |-Branch two: % 23.62/6.13 | (936) ~ (all_0_46_46 = e4) % 23.62/6.13 | (358) all_0_46_46 = e2 % 23.62/6.13 | % 23.62/6.13 | Equations (358) can reduce 973 to: % 23.62/6.13 | (298) $false % 23.62/6.13 | % 23.62/6.13 |-The branch is then unsatisfiable % 23.62/6.13 |-Branch two: % 23.62/6.13 | (2170) ~ (all_0_45_45 = e1) % 23.62/6.13 | (2157) all_0_60_60 = e1 % 23.62/6.13 | % 23.62/6.13 | Equations (2157) can reduce 77 to: % 23.62/6.13 | (258) ~ (all_0_43_43 = e1) % 23.62/6.13 | % 23.62/6.13 | Equations (2157) can reduce 249 to: % 23.62/6.13 | (290) ~ (all_0_48_48 = e1) % 23.62/6.13 | % 23.62/6.13 | Equations (2157) can reduce 156 to: % 23.62/6.13 | (2161) ~ (all_0_52_52 = e1) % 23.62/6.13 | % 23.62/6.13 | Equations (2157) can reduce 90 to: % 23.62/6.13 | (277) ~ (all_0_55_55 = e1) % 23.62/6.13 | % 23.62/6.13 | Equations (2157) can reduce 200 to: % 23.62/6.13 | (279) ~ (all_0_56_56 = e1) % 23.62/6.13 | % 23.62/6.13 | Equations (2157) can reduce 7 to: % 23.62/6.13 | (262) ~ (all_0_58_58 = e1) % 23.62/6.13 | % 23.62/6.13 | Equations (2157) can reduce 5 to: % 23.62/6.13 | (2156) ~ (all_0_59_59 = e1) % 23.62/6.13 | % 23.62/6.13 +-Applying beta-rule and splitting (79), into two cases. % 23.62/6.13 |-Branch one: % 23.62/6.13 | (295) all_0_45_45 = e0 % 23.62/6.13 | % 23.62/6.13 | Equations (295) can reduce 219 to: % 23.62/6.13 | (745) ~ (all_0_40_40 = e0) % 23.62/6.13 | % 23.62/6.13 | Equations (295) can reduce 40 to: % 23.62/6.13 | (503) ~ (all_0_44_44 = e0) % 23.62/6.13 | % 23.62/6.13 | Equations (295) can reduce 39 to: % 23.62/6.13 | (5375) ~ (all_0_46_46 = e0) % 23.62/6.13 | % 23.62/6.13 | Simplifying 5375 yields: % 23.62/6.13 | (151) ~ (all_0_46_46 = e0) % 23.62/6.13 | % 23.62/6.13 | Equations (295) can reduce 142 to: % 23.62/6.13 | (769) ~ (all_0_47_47 = e0) % 23.62/6.13 | % 23.62/6.13 | Simplifying 769 yields: % 23.62/6.13 | (589) ~ (all_0_47_47 = e0) % 23.62/6.13 | % 23.62/6.13 | Equations (295) can reduce 102 to: % 23.62/6.13 | (2181) ~ (all_0_48_48 = e0) % 23.62/6.13 | % 23.62/6.13 | Simplifying 2181 yields: % 23.62/6.13 | (303) ~ (all_0_48_48 = e0) % 23.62/6.13 | % 23.62/6.13 | Equations (295) can reduce 220 to: % 23.62/6.13 | (5381) ~ (all_0_54_54 = e0) % 23.62/6.13 | % 23.62/6.13 | Simplifying 5381 yields: % 23.62/6.13 | (210) ~ (all_0_54_54 = e0) % 23.62/6.13 | % 23.62/6.13 | Equations (295) can reduce 94 to: % 23.62/6.13 | (2185) ~ (all_0_57_57 = e0) % 23.62/6.13 | % 23.62/6.13 | Simplifying 2185 yields: % 23.62/6.13 | (307) ~ (all_0_57_57 = e0) % 23.62/6.13 | % 23.62/6.13 +-Applying beta-rule and splitting (87), into two cases. % 23.62/6.13 |-Branch one: % 23.62/6.13 | (272) all_0_53_53 = e1 % 23.62/6.13 | % 23.62/6.13 | Combining equations (419,272) yields a new equation: % 23.62/6.13 | (1084) e3 = e1 % 23.62/6.13 | % 23.62/6.13 | Simplifying 1084 yields: % 23.62/6.13 | (420) e3 = e1 % 23.62/6.13 | % 23.62/6.13 | Equations (420) can reduce 214 to: % 23.62/6.13 | (298) $false % 23.62/6.13 | % 23.62/6.13 |-The branch is then unsatisfiable % 23.62/6.13 |-Branch two: % 23.62/6.13 | (3699) ~ (all_0_53_53 = e1) % 23.62/6.13 | (3749) all_0_54_54 = e1 | all_0_55_55 = e1 % 23.62/6.13 | % 23.62/6.13 +-Applying beta-rule and splitting (3749), into two cases. % 23.62/6.13 |-Branch one: % 23.62/6.13 | (1669) all_0_54_54 = e1 % 23.62/6.13 | % 23.62/6.13 | Equations (1669) can reduce 35 to: % 23.62/6.13 | (254) ~ (all_0_40_40 = e1) % 23.62/6.13 | % 23.62/6.13 | Equations (1669) can reduce 196 to: % 23.62/6.13 | (330) ~ (all_0_50_50 = e1) % 23.62/6.13 | % 23.62/6.13 | Equations (1669) can reduce 211 to: % 23.62/6.13 | (347) ~ (e4 = e1) % 23.62/6.13 | % 23.62/6.13 | Simplifying 347 yields: % 23.62/6.13 | (115) ~ (e4 = e1) % 23.62/6.13 | % 23.62/6.13 | Equations (1669) can reduce 210 to: % 23.62/6.13 | (231) ~ (e1 = e0) % 23.62/6.13 | % 23.62/6.13 | From (1669) and (36) follows: % 23.62/6.13 | (5397) op(e1, e3) = all_0_28_28 % 23.62/6.13 | % 23.62/6.13 | From (1669) and (38) follows: % 23.62/6.13 | (5398) op(e1, e1) = all_0_27_27 % 23.62/6.13 | % 23.62/6.13 | From (1669) and (154) follows: % 23.62/6.14 | (550) op(e1, e3) = e1 % 23.62/6.14 | % 23.62/6.14 +-Applying beta-rule and splitting (138), into two cases. % 23.62/6.14 |-Branch one: % 23.62/6.14 | (382) all_0_54_54 = e2 % 23.62/6.14 | % 23.62/6.14 | Combining equations (1669,382) yields a new equation: % 23.62/6.14 | (544) e2 = e1 % 23.62/6.14 | % 23.62/6.14 | Equations (544) can reduce 134 to: % 23.62/6.14 | (298) $false % 23.62/6.14 | % 23.62/6.14 |-The branch is then unsatisfiable % 23.62/6.14 |-Branch two: % 23.62/6.14 | (373) ~ (all_0_54_54 = e2) % 23.62/6.14 | (385) all_0_55_55 = e2 % 23.62/6.14 | % 23.62/6.14 | Equations (385) can reduce 112 to: % 23.62/6.14 | (188) ~ (all_0_43_43 = e2) % 23.62/6.14 | % 23.62/6.14 | Equations (385) can reduce 176 to: % 23.62/6.14 | (363) ~ (all_0_48_48 = e2) % 23.62/6.14 | % 23.62/6.14 | Equations (385) can reduce 42 to: % 23.62/6.14 | (941) ~ (all_0_52_52 = e2) % 23.62/6.14 | % 23.62/6.14 | Equations (385) can reduce 228 to: % 23.62/6.14 | (399) ~ (e4 = e2) % 23.62/6.14 | % 23.62/6.14 | Simplifying 399 yields: % 23.62/6.14 | (46) ~ (e4 = e2) % 23.62/6.14 | % 23.62/6.14 | From (385) and (222) follows: % 23.62/6.14 | (388) op(e2, e1) = all_0_29_29 % 23.62/6.14 | % 23.62/6.14 | From (385) and (146) follows: % 23.62/6.14 | (5411) op(e2, e0) = all_0_30_30 % 23.62/6.14 | % 23.62/6.14 | From (385) and (218) follows: % 23.62/6.14 | (389) op(e1, e0) = e2 % 23.62/6.14 | % 23.62/6.14 | Instantiating formula (206) with e2, e1, all_0_29_29, all_0_51_51 and discharging atoms op(e2, e1) = all_0_29_29, op(e2, e1) = all_0_51_51, yields: % 23.62/6.14 | (5413) all_0_29_29 = all_0_51_51 % 23.62/6.14 | % 23.62/6.14 | Instantiating formula (206) with e2, e0, all_0_30_30, all_0_52_52 and discharging atoms op(e2, e0) = all_0_30_30, op(e2, e0) = all_0_52_52, yields: % 23.62/6.14 | (5414) all_0_30_30 = all_0_52_52 % 23.62/6.14 | % 23.62/6.14 | Instantiating formula (206) with e1, e3, e1, all_0_28_28 and discharging atoms op(e1, e3) = all_0_28_28, op(e1, e3) = e1, yields: % 23.62/6.14 | (2280) all_0_28_28 = e1 % 23.62/6.14 | % 23.62/6.14 | Instantiating formula (206) with e1, e1, all_0_27_27, e4 and discharging atoms op(e1, e1) = all_0_27_27, op(e1, e1) = e4, yields: % 23.62/6.14 | (5416) all_0_27_27 = e4 % 23.62/6.14 | % 23.62/6.14 | From (5413) and (388) follows: % 23.62/6.14 | (149) op(e2, e1) = all_0_51_51 % 23.62/6.14 | % 23.62/6.14 | From (5414) and (5411) follows: % 23.62/6.14 | (217) op(e2, e0) = all_0_52_52 % 23.62/6.14 | % 23.62/6.14 | From (2280) and (5397) follows: % 23.62/6.14 | (550) op(e1, e3) = e1 % 23.62/6.14 | % 23.62/6.14 | From (5416) and (5398) follows: % 23.62/6.14 | (227) op(e1, e1) = e4 % 23.62/6.14 | % 23.62/6.14 +-Applying beta-rule and splitting (57), into two cases. % 23.62/6.14 |-Branch one: % 23.62/6.14 | (358) all_0_46_46 = e2 % 23.62/6.14 | % 23.62/6.14 | Equations (358) can reduce 120 to: % 23.62/6.14 | (107) ~ (all_0_44_44 = e2) % 23.62/6.14 | % 23.62/6.14 | Equations (358) can reduce 179 to: % 23.62/6.14 | (360) ~ (all_0_47_47 = e2) % 23.62/6.14 | % 23.62/6.14 | Simplifying 360 yields: % 23.62/6.14 | (361) ~ (all_0_47_47 = e2) % 23.62/6.14 | % 23.62/6.14 | Equations (358) can reduce 174 to: % 23.62/6.14 | (362) ~ (all_0_48_48 = e2) % 23.62/6.14 | % 23.62/6.14 | Simplifying 362 yields: % 23.62/6.14 | (363) ~ (all_0_48_48 = e2) % 23.62/6.14 | % 23.62/6.14 | Equations (358) can reduce 260 to: % 23.62/6.14 | (134) ~ (e2 = e1) % 23.62/6.14 | % 23.62/6.14 | From (358) and (240) follows: % 23.62/6.14 | (366) op(e2, e3) = all_0_11_11 % 23.62/6.14 | % 23.62/6.14 | From (358) and (144) follows: % 23.62/6.14 | (367) op(e2, e2) = all_0_12_12 % 23.62/6.14 | % 23.62/6.14 +-Applying beta-rule and splitting (203), into two cases. % 23.62/6.14 |-Branch one: % 23.62/6.14 | (603) all_0_41_41 = e4 % 23.62/6.14 | % 23.62/6.14 | Combining equations (253,603) yields a new equation: % 23.62/6.14 | (535) e4 = e1 % 23.62/6.14 | % 23.62/6.14 | Equations (535) can reduce 115 to: % 23.62/6.14 | (298) $false % 23.62/6.14 | % 23.62/6.14 |-The branch is then unsatisfiable % 23.62/6.14 |-Branch two: % 23.62/6.14 | (607) ~ (all_0_41_41 = e4) % 23.62/6.14 | (932) all_0_46_46 = e4 | all_0_58_58 = e4 % 23.62/6.14 | % 23.62/6.14 +-Applying beta-rule and splitting (51), into two cases. % 23.62/6.14 |-Branch one: % 23.62/6.14 | (337) all_0_58_58 = e1 % 23.62/6.14 | % 23.62/6.14 | Equations (337) can reduce 262 to: % 23.62/6.14 | (298) $false % 23.62/6.14 | % 23.62/6.14 |-The branch is then unsatisfiable % 23.62/6.14 |-Branch two: % 23.62/6.14 | (262) ~ (all_0_58_58 = e1) % 23.62/6.14 | (3139) all_0_58_58 = e4 | all_0_58_58 = e2 % 23.62/6.14 | % 23.62/6.14 +-Applying beta-rule and splitting (932), into two cases. % 23.62/6.14 |-Branch one: % 23.62/6.14 | (933) all_0_46_46 = e4 % 23.62/6.14 | % 23.62/6.14 | Combining equations (358,933) yields a new equation: % 23.62/6.14 | (409) e4 = e2 % 23.62/6.14 | % 23.62/6.14 | Equations (409) can reduce 46 to: % 23.62/6.14 | (298) $false % 23.62/6.14 | % 23.62/6.14 |-The branch is then unsatisfiable % 23.62/6.14 |-Branch two: % 23.62/6.14 | (936) ~ (all_0_46_46 = e4) % 23.62/6.14 | (413) all_0_58_58 = e4 % 23.62/6.14 | % 23.62/6.14 | Equations (413) can reduce 230 to: % 23.62/6.14 | (394) ~ (all_0_56_56 = e4) % 23.62/6.14 | % 23.62/6.14 | Equations (413) can reduce 25 to: % 23.62/6.14 | (3242) ~ (all_0_59_59 = e4) % 23.62/6.14 | % 23.62/6.14 | Simplifying 3242 yields: % 23.62/6.14 | (123) ~ (all_0_59_59 = e4) % 23.62/6.14 | % 23.62/6.14 | Equations (413) can reduce 262 to: % 23.62/6.14 | (115) ~ (e4 = e1) % 23.62/6.14 | % 23.62/6.14 | From (413) and (191) follows: % 23.62/6.14 | (416) op(e4, e2) = all_0_36_36 % 23.62/6.14 | % 23.62/6.14 | From (413) and (145) follows: % 23.62/6.14 | (417) op(e4, e0) = all_0_35_35 % 23.62/6.14 | % 23.62/6.14 | From (413) and (185) follows: % 23.62/6.14 | (418) op(e0, e2) = e4 % 23.62/6.14 | % 23.62/6.14 +-Applying beta-rule and splitting (70), into two cases. % 23.62/6.14 |-Branch one: % 23.62/6.14 | (314) all_0_56_56 = e1 % 23.62/6.14 | % 23.62/6.14 | Equations (314) can reduce 279 to: % 23.62/6.14 | (298) $false % 23.62/6.14 | % 23.62/6.14 |-The branch is then unsatisfiable % 23.62/6.14 |-Branch two: % 23.62/6.14 | (279) ~ (all_0_56_56 = e1) % 23.62/6.14 | (1499) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0 % 23.62/6.14 | % 23.62/6.14 +-Applying beta-rule and splitting (1499), into two cases. % 23.62/6.14 |-Branch one: % 23.62/6.14 | (653) all_0_56_56 = e0 % 23.62/6.14 | % 23.62/6.14 | Equations (653) can reduce 195 to: % 23.62/6.14 | (503) ~ (all_0_44_44 = e0) % 23.62/6.14 | % 23.62/6.14 | Equations (653) can reduce 106 to: % 23.62/6.14 | (652) ~ (all_0_49_49 = e0) % 23.62/6.14 | % 23.62/6.14 | Equations (653) can reduce 152 to: % 23.62/6.14 | (2185) ~ (all_0_57_57 = e0) % 23.62/6.14 | % 23.62/6.14 | Simplifying 2185 yields: % 23.62/6.14 | (307) ~ (all_0_57_57 = e0) % 23.62/6.14 | % 23.62/6.14 | Equations (653) can reduce 99 to: % 23.62/6.14 | (5460) ~ (all_0_59_59 = e0) % 23.62/6.14 | % 23.62/6.14 | Simplifying 5460 yields: % 23.62/6.14 | (309) ~ (all_0_59_59 = e0) % 23.62/6.14 | % 23.62/6.14 | Equations (653) can reduce 394 to: % 23.62/6.14 | (485) ~ (e4 = e0) % 23.62/6.14 | % 23.62/6.14 | Simplifying 485 yields: % 23.62/6.14 | (47) ~ (e4 = e0) % 23.62/6.14 | % 23.62/6.14 | Equations (653) can reduce 279 to: % 23.62/6.14 | (526) ~ (e1 = e0) % 23.62/6.14 | % 23.62/6.14 | Simplifying 526 yields: % 23.62/6.14 | (231) ~ (e1 = e0) % 23.62/6.14 | % 23.62/6.14 | From (653) and (229) follows: % 23.62/6.14 | (5466) op(e0, e4) = all_0_32_32 % 23.62/6.14 | % 23.62/6.14 | From (653) and (48) follows: % 23.62/6.14 | (812) op(e0, e4) = e0 % 23.62/6.14 | % 23.62/6.14 | Instantiating formula (206) with e4, e2, all_0_36_36, e1 and discharging atoms op(e4, e2) = all_0_36_36, op(e4, e2) = e1, yields: % 23.62/6.14 | (430) all_0_36_36 = e1 % 23.62/6.14 | % 23.62/6.14 | Instantiating formula (206) with e4, e0, all_0_35_35, all_0_43_43 and discharging atoms op(e4, e0) = all_0_35_35, op(e4, e0) = all_0_43_43, yields: % 23.62/6.14 | (431) all_0_35_35 = all_0_43_43 % 23.62/6.14 | % 23.62/6.14 | Instantiating formula (206) with e2, e3, all_0_11_11, all_0_50_50 and discharging atoms op(e2, e3) = all_0_11_11, op(e2, e3) = all_0_50_50, yields: % 23.62/6.14 | (435) all_0_11_11 = all_0_50_50 % 23.62/6.14 | % 23.62/6.14 | Instantiating formula (206) with e2, e2, all_0_12_12, e3 and discharging atoms op(e2, e2) = all_0_12_12, op(e2, e2) = e3, yields: % 23.62/6.14 | (437) all_0_12_12 = e3 % 23.62/6.14 | % 23.62/6.14 | Instantiating formula (206) with e0, e4, e0, all_0_32_32 and discharging atoms op(e0, e4) = all_0_32_32, op(e0, e4) = e0, yields: % 23.62/6.14 | (4714) all_0_32_32 = e0 % 23.62/6.14 | % 23.62/6.14 | From (430) and (416) follows: % 23.62/6.14 | (268) op(e4, e2) = e1 % 23.62/6.14 | % 23.62/6.14 | From (431) and (417) follows: % 23.62/6.14 | (34) op(e4, e0) = all_0_43_43 % 23.62/6.14 | % 23.62/6.14 | From (435) and (366) follows: % 23.62/6.14 | (207) op(e2, e3) = all_0_50_50 % 23.62/6.14 | % 23.62/6.14 | From (437) and (367) follows: % 23.62/6.14 | (72) op(e2, e2) = e3 % 23.62/6.14 | % 23.62/6.14 | From (4714) and (5466) follows: % 23.62/6.14 | (812) op(e0, e4) = e0 % 23.62/6.14 | % 23.62/6.14 +-Applying beta-rule and splitting (105), into two cases. % 23.62/6.14 |-Branch one: % 23.62/6.14 | (457) all_0_49_49 = e1 % 23.62/6.14 | % 23.62/6.14 | Equations (457) can reduce 189 to: % 23.62/6.14 | (3721) ~ (all_0_50_50 = e1) % 23.62/6.14 | % 23.62/6.14 | Simplifying 3721 yields: % 23.62/6.14 | (330) ~ (all_0_50_50 = e1) % 23.62/6.14 | % 23.62/6.14 | Equations (457) can reduce 82 to: % 23.62/6.14 | (2227) ~ (all_0_51_51 = e1) % 23.62/6.14 | % 23.62/6.14 | Simplifying 2227 yields: % 23.62/6.14 | (344) ~ (all_0_51_51 = e1) % 23.62/6.14 | % 23.62/6.14 | Equations (457) can reduce 44 to: % 23.62/6.14 | (2229) ~ (all_0_52_52 = e1) % 23.62/6.14 | % 23.62/6.14 | Simplifying 2229 yields: % 23.62/6.14 | (2161) ~ (all_0_52_52 = e1) % 23.62/6.14 | % 23.62/6.14 | From (457) and (148) follows: % 23.62/6.14 | (4424) op(e1, e4) = all_0_18_18 % 23.62/6.14 | % 23.62/6.14 | From (457) and (110) follows: % 23.62/6.14 | (4425) op(e2, e4) = e1 % 23.62/6.14 | % 23.62/6.14 +-Applying beta-rule and splitting (147), into two cases. % 23.62/6.14 |-Branch one: % 23.62/6.14 | (453) all_0_42_42 = e1 % 23.62/6.14 | % 23.62/6.14 | Equations (453) can reduce 256 to: % 23.62/6.14 | (298) $false % 23.62/6.14 | % 23.62/6.14 |-The branch is then unsatisfiable % 23.62/6.14 |-Branch two: % 23.62/6.14 | (256) ~ (all_0_42_42 = e1) % 23.62/6.14 | (5490) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_59_59 = e1 % 23.62/6.14 | % 23.62/6.14 +-Applying beta-rule and splitting (63), into two cases. % 23.62/6.14 |-Branch one: % 23.62/6.14 | (495) all_0_44_44 = e4 % 23.62/6.14 | % 23.62/6.14 | Combining equations (495,3712) yields a new equation: % 23.62/6.14 | (5492) all_0_26_26 = e4 % 23.62/6.14 | % 23.62/6.14 | Equations (495) can reduce 98 to: % 23.62/6.14 | (988) ~ (all_0_47_47 = e4) % 23.62/6.14 | % 23.62/6.14 | Simplifying 988 yields: % 23.62/6.15 | (76) ~ (all_0_47_47 = e4) % 23.62/6.15 | % 23.62/6.15 | Equations (495) can reduce 6 to: % 23.62/6.15 | (4379) ~ (all_0_48_48 = e4) % 23.62/6.15 | % 23.62/6.15 | Simplifying 4379 yields: % 23.62/6.15 | (690) ~ (all_0_48_48 = e4) % 23.62/6.15 | % 23.62/6.15 | From (495) and (116) follows: % 23.62/6.15 | (5497) op(e4, e4) = all_0_9_9 % 23.62/6.15 | % 23.62/6.15 | From (495) and (21) follows: % 23.62/6.15 | (5498) op(e4, e3) = all_0_8_8 % 23.62/6.15 | % 23.62/6.15 +-Applying beta-rule and splitting (5490), into two cases. % 23.62/6.15 |-Branch one: % 23.62/6.15 | (487) all_0_47_47 = e1 % 23.62/6.15 | % 23.62/6.15 | Equations (487) can reduce 242 to: % 23.62/6.15 | (256) ~ (all_0_42_42 = e1) % 23.62/6.15 | % 23.62/6.15 | Equations (487) can reduce 224 to: % 23.62/6.15 | (289) ~ (all_0_48_48 = e1) % 23.62/6.15 | % 23.62/6.15 | Simplifying 289 yields: % 23.62/6.15 | (290) ~ (all_0_48_48 = e1) % 23.62/6.15 | % 23.62/6.15 | Equations (487) can reduce 171 to: % 23.62/6.15 | (2227) ~ (all_0_51_51 = e1) % 23.62/6.15 | % 23.62/6.15 | Simplifying 2227 yields: % 23.62/6.15 | (344) ~ (all_0_51_51 = e1) % 23.62/6.15 | % 23.62/6.15 | Equations (487) can reduce 119 to: % 23.62/6.15 | (2217) ~ (all_0_59_59 = e1) % 23.62/6.15 | % 23.62/6.15 | Simplifying 2217 yields: % 23.62/6.15 | (2156) ~ (all_0_59_59 = e1) % 23.62/6.15 | % 23.62/6.15 | Equations (487) can reduce 76 to: % 23.62/6.15 | (347) ~ (e4 = e1) % 23.62/6.15 | % 23.62/6.15 | Simplifying 347 yields: % 23.62/6.15 | (115) ~ (e4 = e1) % 23.62/6.15 | % 23.62/6.15 | From (487) and (177) follows: % 23.62/6.15 | (2221) op(e1, e3) = all_0_13_13 % 23.62/6.15 | % 23.62/6.15 | From (487) and (235) follows: % 23.62/6.15 | (2222) op(e1, e1) = all_0_14_14 % 23.62/6.15 | % 23.62/6.15 +-Applying beta-rule and splitting (8), into two cases. % 23.62/6.15 |-Branch one: % 23.62/6.15 | (318) all_0_48_48 = e1 % 23.62/6.15 | % 23.62/6.15 | Equations (318) can reduce 290 to: % 23.62/6.15 | (298) $false % 23.62/6.15 | % 23.62/6.15 |-The branch is then unsatisfiable % 23.62/6.15 |-Branch two: % 23.62/6.15 | (290) ~ (all_0_48_48 = e1) % 23.62/6.15 | (716) all_0_48_48 = e4 | all_0_48_48 = e3 | all_0_48_48 = e2 | all_0_48_48 = e0 % 23.62/6.15 | % 23.62/6.15 +-Applying beta-rule and splitting (716), into two cases. % 23.62/6.15 |-Branch one: % 23.62/6.15 | (717) all_0_48_48 = e0 % 23.62/6.15 | % 23.62/6.15 | Equations (717) can reduce 303 to: % 23.62/6.15 | (298) $false % 23.62/6.15 | % 23.62/6.15 |-The branch is then unsatisfiable % 23.62/6.15 |-Branch two: % 23.62/6.15 | (303) ~ (all_0_48_48 = e0) % 23.62/6.15 | (720) all_0_48_48 = e4 | all_0_48_48 = e3 | all_0_48_48 = e2 % 23.62/6.15 | % 23.62/6.15 +-Applying beta-rule and splitting (720), into two cases. % 23.62/6.15 |-Branch one: % 23.62/6.15 | (491) all_0_48_48 = e3 % 23.62/6.15 | % 23.62/6.15 | Equations (491) can reduce 16 to: % 23.62/6.15 | (471) ~ (all_0_43_43 = e3) % 23.62/6.15 | % 23.62/6.15 | Equations (491) can reduce 88 to: % 23.62/6.15 | (5521) ~ (all_0_52_52 = e3) % 23.62/6.15 | % 23.62/6.15 | Simplifying 5521 yields: % 23.62/6.15 | (95) ~ (all_0_52_52 = e3) % 23.62/6.15 | % 23.62/6.15 | Equations (491) can reduce 690 to: % 23.62/6.15 | (472) ~ (e4 = e3) % 23.62/6.15 | % 23.62/6.15 | Simplifying 472 yields: % 23.62/6.15 | (184) ~ (e4 = e3) % 23.62/6.15 | % 23.62/6.15 | Equations (491) can reduce 303 to: % 23.62/6.15 | (84) ~ (e3 = e0) % 23.62/6.15 | % 23.62/6.15 | From (491) and (91) follows: % 23.62/6.15 | (5526) op(e3, e0) = all_0_16_16 % 23.62/6.15 | % 23.62/6.15 | From (491) and (202) follows: % 23.62/6.15 | (494) op(e3, e0) = e3 % 23.62/6.15 | % 23.62/6.15 | Instantiating formula (206) with e4, e4, all_0_9_9, e2 and discharging atoms op(e4, e4) = all_0_9_9, op(e4, e4) = e2, yields: % 23.62/6.15 | (5528) all_0_9_9 = e2 % 23.62/6.15 | % 23.62/6.15 | Instantiating formula (206) with e4, e3, all_0_8_8, all_0_40_40 and discharging atoms op(e4, e3) = all_0_8_8, op(e4, e3) = all_0_40_40, yields: % 23.62/6.15 | (5529) all_0_8_8 = all_0_40_40 % 23.62/6.15 | % 23.62/6.15 | Instantiating formula (206) with e3, e0, e3, all_0_16_16 and discharging atoms op(e3, e0) = all_0_16_16, op(e3, e0) = e3, yields: % 23.62/6.15 | (4669) all_0_16_16 = e3 % 23.62/6.15 | % 23.62/6.15 | Instantiating formula (206) with e1, e4, all_0_18_18, e3 and discharging atoms op(e1, e4) = all_0_18_18, op(e1, e4) = e3, yields: % 23.62/6.15 | (4482) all_0_18_18 = e3 % 23.62/6.15 | % 23.62/6.15 | Instantiating formula (206) with e1, e3, all_0_13_13, e1 and discharging atoms op(e1, e3) = all_0_13_13, op(e1, e3) = e1, yields: % 23.62/6.15 | (5532) all_0_13_13 = e1 % 23.62/6.15 | % 23.62/6.15 | Instantiating formula (206) with e1, e1, all_0_14_14, e4 and discharging atoms op(e1, e1) = all_0_14_14, op(e1, e1) = e4, yields: % 23.62/6.15 | (2240) all_0_14_14 = e4 % 23.62/6.15 | % 23.62/6.15 | From (5528) and (5497) follows: % 23.62/6.15 | (187) op(e4, e4) = e2 % 23.62/6.15 | % 23.62/6.15 | From (5529) and (5498) follows: % 23.82/6.15 | (233) op(e4, e3) = all_0_40_40 % 23.82/6.15 | % 23.82/6.15 | From (4669) and (5526) follows: % 23.82/6.15 | (494) op(e3, e0) = e3 % 23.82/6.15 | % 23.82/6.15 | From (4482) and (4424) follows: % 23.82/6.15 | (3711) op(e1, e4) = e3 % 23.82/6.15 | % 23.82/6.15 | From (5532) and (2221) follows: % 23.82/6.15 | (550) op(e1, e3) = e1 % 23.82/6.15 | % 23.82/6.15 +-Applying beta-rule and splitting (201), into two cases. % 23.82/6.15 |-Branch one: % 23.82/6.15 | (1704) all_0_51_51 = e1 % 23.82/6.15 | % 23.82/6.15 | Equations (1704) can reduce 344 to: % 23.82/6.15 | (298) $false % 23.82/6.15 | % 23.82/6.15 |-The branch is then unsatisfiable % 23.82/6.15 |-Branch two: % 23.82/6.15 | (344) ~ (all_0_51_51 = e1) % 23.82/6.15 | (1707) all_0_51_51 = e2 | all_0_51_51 = e0 % 23.82/6.15 | % 23.82/6.15 +-Applying beta-rule and splitting (92), into two cases. % 23.82/6.15 |-Branch one: % 23.82/6.15 | (453) all_0_42_42 = e1 % 23.82/6.15 | % 23.82/6.15 | Equations (453) can reduce 256 to: % 23.82/6.15 | (298) $false % 23.82/6.15 | % 23.82/6.15 |-The branch is then unsatisfiable % 23.82/6.15 |-Branch two: % 23.82/6.15 | (256) ~ (all_0_42_42 = e1) % 23.82/6.15 | (456) all_0_42_42 = e3 | all_0_42_42 = e0 % 23.82/6.15 | % 23.82/6.15 +-Applying beta-rule and splitting (212), into two cases. % 23.82/6.15 |-Branch one: % 23.82/6.15 | (461) all_0_40_40 = e0 % 23.82/6.15 | % 23.82/6.15 | Equations (461) can reduce 745 to: % 23.82/6.15 | (298) $false % 23.82/6.15 | % 23.82/6.15 |-The branch is then unsatisfiable % 23.82/6.15 |-Branch two: % 23.82/6.15 | (745) ~ (all_0_40_40 = e0) % 23.82/6.15 | (746) all_0_42_42 = e0 | all_0_43_43 = e0 % 23.82/6.15 | % 23.82/6.15 +-Applying beta-rule and splitting (23), into two cases. % 23.82/6.15 |-Branch one: % 23.82/6.15 | (755) all_0_40_40 = e3 % 23.82/6.15 | % 23.82/6.15 | Equations (755) can reduce 204 to: % 23.82/6.15 | (1539) ~ (all_0_42_42 = e3) % 23.82/6.15 | % 23.82/6.15 | Simplifying 1539 yields: % 23.82/6.15 | (847) ~ (all_0_42_42 = e3) % 23.82/6.15 | % 23.82/6.15 | Equations (755) can reduce 254 to: % 23.82/6.15 | (214) ~ (e3 = e1) % 23.82/6.15 | % 23.82/6.15 | From (755) and (233) follows: % 23.82/6.15 | (809) op(e4, e3) = e3 % 23.82/6.15 | % 23.82/6.15 +-Applying beta-rule and splitting (251), into two cases. % 23.82/6.15 |-Branch one: % 23.82/6.15 | (469) all_0_42_42 = e3 % 23.82/6.15 | % 23.82/6.15 | Equations (469) can reduce 847 to: % 23.82/6.15 | (298) $false % 23.82/6.15 | % 23.82/6.15 |-The branch is then unsatisfiable % 23.82/6.15 |-Branch two: % 23.82/6.15 | (847) ~ (all_0_42_42 = e3) % 23.82/6.15 | (1512) all_0_47_47 = e3 | all_0_59_59 = e3 % 23.82/6.15 | % 23.82/6.15 +-Applying beta-rule and splitting (456), into two cases. % 23.82/6.15 |-Branch one: % 23.82/6.15 | (466) all_0_42_42 = e0 % 23.82/6.15 | % 23.82/6.15 | From (466) and (19) follows: % 23.82/6.15 | (4791) op(e0, e4) = all_0_4_4 % 23.82/6.15 | % 23.82/6.15 | From (466) and (80) follows: % 23.82/6.15 | (5129) op(e0, e1) = all_0_5_5 % 23.82/6.15 | % 23.82/6.15 | From (466) and (2) follows: % 23.82/6.15 | (780) op(e4, e1) = e0 % 23.82/6.15 | % 23.82/6.15 +-Applying beta-rule and splitting (216), into two cases. % 23.82/6.15 |-Branch one: % 23.82/6.15 | (479) all_0_40_40 = e4 % 23.82/6.15 | % 23.82/6.15 | Combining equations (755,479) yields a new equation: % 23.82/6.15 | (392) e4 = e3 % 23.82/6.15 | % 23.82/6.15 | Equations (392) can reduce 184 to: % 23.82/6.15 | (298) $false % 23.82/6.15 | % 23.82/6.15 |-The branch is then unsatisfiable % 23.82/6.15 |-Branch two: % 23.82/6.15 | (483) ~ (all_0_40_40 = e4) % 23.82/6.15 | (515) all_0_41_41 = e4 | all_0_43_43 = e4 % 23.82/6.15 | % 23.82/6.15 +-Applying beta-rule and splitting (515), into two cases. % 23.82/6.15 |-Branch one: % 23.82/6.15 | (603) all_0_41_41 = e4 % 23.82/6.15 | % 23.82/6.15 | Combining equations (253,603) yields a new equation: % 23.82/6.15 | (535) e4 = e1 % 23.82/6.15 | % 23.82/6.15 | Equations (535) can reduce 115 to: % 23.82/6.15 | (298) $false % 23.82/6.15 | % 23.82/6.15 |-The branch is then unsatisfiable % 23.82/6.15 |-Branch two: % 23.82/6.15 | (607) ~ (all_0_41_41 = e4) % 23.82/6.15 | (520) all_0_43_43 = e4 % 23.82/6.15 | % 23.82/6.15 | Equations (520) can reduce 194 to: % 23.82/6.15 | (2335) ~ (all_0_52_52 = e4) % 23.82/6.15 | % 23.82/6.15 | Simplifying 2335 yields: % 23.82/6.15 | (695) ~ (all_0_52_52 = e4) % 23.82/6.15 | % 23.82/6.15 | From (520) and (181) follows: % 23.82/6.15 | (1001) op(e4, e4) = all_0_6_6 % 23.82/6.15 | % 23.82/6.15 | From (520) and (11) follows: % 23.82/6.15 | (1002) op(e4, e0) = all_0_7_7 % 23.82/6.15 | % 23.82/6.15 | From (520) and (34) follows: % 23.82/6.15 | (522) op(e4, e0) = e4 % 23.82/6.15 | % 23.82/6.15 +-Applying beta-rule and splitting (133), into two cases. % 23.82/6.15 |-Branch one: % 23.82/6.15 | (326) all_0_52_52 = e1 % 23.82/6.15 | % 23.82/6.15 | Equations (326) can reduce 2161 to: % 23.82/6.15 | (298) $false % 23.82/6.15 | % 23.82/6.15 |-The branch is then unsatisfiable % 23.82/6.15 |-Branch two: % 23.82/6.15 | (2161) ~ (all_0_52_52 = e1) % 23.82/6.16 | (2880) all_0_52_52 = e4 | all_0_52_52 = e2 | all_0_52_52 = e0 % 23.82/6.16 | % 23.82/6.16 +-Applying beta-rule and splitting (2880), into two cases. % 23.82/6.16 |-Branch one: % 23.82/6.16 | (2078) all_0_52_52 = e0 % 23.82/6.16 | % 23.82/6.16 | Equations (2078) can reduce 234 to: % 23.82/6.16 | (661) ~ (all_0_50_50 = e0) % 23.82/6.16 | % 23.82/6.16 | Equations (2078) can reduce 22 to: % 23.82/6.16 | (1871) ~ (all_0_51_51 = e0) % 23.82/6.16 | % 23.82/6.16 | Equations (2078) can reduce 2161 to: % 23.82/6.16 | (526) ~ (e1 = e0) % 23.82/6.16 | % 23.82/6.16 | Simplifying 526 yields: % 23.82/6.16 | (231) ~ (e1 = e0) % 23.82/6.16 | % 23.82/6.16 | From (2078) and (49) follows: % 23.82/6.16 | (5588) op(e0, e2) = all_0_23_23 % 23.82/6.16 | % 23.82/6.16 +-Applying beta-rule and splitting (1512), into two cases. % 23.82/6.16 |-Branch one: % 23.82/6.16 | (591) all_0_47_47 = e3 % 23.82/6.16 | % 23.82/6.16 | Combining equations (487,591) yields a new equation: % 23.82/6.16 | (420) e3 = e1 % 23.82/6.16 | % 23.82/6.16 | Equations (420) can reduce 214 to: % 23.82/6.16 | (298) $false % 23.82/6.16 | % 23.82/6.16 |-The branch is then unsatisfiable % 23.82/6.16 |-Branch two: % 23.82/6.16 | (493) ~ (all_0_47_47 = e3) % 23.82/6.16 | (907) all_0_59_59 = e3 % 23.82/6.16 | % 23.82/6.16 | From (907) and (166) follows: % 23.82/6.16 | (5594) op(e3, e0) = all_0_37_37 % 23.82/6.16 | % 23.82/6.16 | From (907) and (114) follows: % 23.82/6.16 | (2846) op(e0, e1) = e3 % 23.82/6.16 | % 23.82/6.16 +-Applying beta-rule and splitting (1707), into two cases. % 23.82/6.16 |-Branch one: % 23.82/6.16 | (1730) all_0_51_51 = e0 % 23.82/6.16 | % 23.82/6.16 | Equations (1730) can reduce 1871 to: % 23.82/6.16 | (298) $false % 23.82/6.16 | % 23.82/6.16 |-The branch is then unsatisfiable % 23.82/6.16 |-Branch two: % 23.82/6.16 | (1871) ~ (all_0_51_51 = e0) % 23.82/6.16 | (396) all_0_51_51 = e2 % 23.82/6.16 | % 23.82/6.16 | Equations (396) can reduce 157 to: % 23.82/6.16 | (398) ~ (all_0_50_50 = e2) % 23.82/6.16 | % 23.82/6.16 | Equations (396) can reduce 344 to: % 23.82/6.16 | (134) ~ (e2 = e1) % 23.82/6.16 | % 23.82/6.16 | Equations (396) can reduce 1871 to: % 23.82/6.16 | (139) ~ (e2 = e0) % 23.82/6.16 | % 23.82/6.16 | From (396) and (169) follows: % 23.82/6.16 | (404) op(e2, e2) = all_0_21_21 % 23.82/6.16 | % 23.82/6.16 | From (396) and (33) follows: % 23.82/6.16 | (405) op(e2, e1) = all_0_22_22 % 23.82/6.16 | % 23.82/6.16 | From (396) and (149) follows: % 23.82/6.16 | (406) op(e2, e1) = e2 % 23.82/6.16 | % 23.82/6.16 +-Applying beta-rule and splitting (160), into two cases. % 23.82/6.16 |-Branch one: % 23.82/6.16 | (771) all_0_50_50 = e1 % 23.82/6.16 | % 23.82/6.16 | Equations (771) can reduce 330 to: % 23.82/6.16 | (298) $false % 23.82/6.16 | % 23.82/6.16 |-The branch is then unsatisfiable % 23.82/6.16 |-Branch two: % 23.82/6.16 | (330) ~ (all_0_50_50 = e1) % 23.82/6.16 | (774) all_0_50_50 = e4 | all_0_50_50 = e2 | all_0_50_50 = e0 % 23.82/6.16 | % 23.82/6.16 +-Applying beta-rule and splitting (245), into two cases. % 23.82/6.16 |-Branch one: % 23.82/6.16 | (372) all_0_57_57 = e2 % 23.82/6.16 | % 23.82/6.16 | Equations (372) can reduce 9 to: % 23.82/6.16 | (398) ~ (all_0_50_50 = e2) % 23.82/6.16 | % 23.82/6.16 | Equations (372) can reduce 307 to: % 23.82/6.16 | (139) ~ (e2 = e0) % 23.82/6.16 | % 23.82/6.16 | From (372) and (30) follows: % 23.82/6.16 | (374) op(e2, e3) = all_0_34_34 % 23.82/6.16 | % 23.82/6.16 | From (372) and (150) follows: % 23.82/6.16 | (375) op(e0, e3) = e2 % 23.82/6.16 | % 23.82/6.16 +-Applying beta-rule and splitting (774), into two cases. % 23.82/6.16 |-Branch one: % 23.82/6.16 | (781) all_0_50_50 = e0 % 23.82/6.16 | % 23.82/6.16 | Equations (781) can reduce 661 to: % 23.82/6.16 | (298) $false % 23.82/6.16 | % 23.82/6.16 |-The branch is then unsatisfiable % 23.82/6.16 |-Branch two: % 23.82/6.16 | (661) ~ (all_0_50_50 = e0) % 23.82/6.16 | (834) all_0_50_50 = e4 | all_0_50_50 = e2 % 23.82/6.16 | % 23.82/6.16 +-Applying beta-rule and splitting (834), into two cases. % 23.82/6.16 |-Branch one: % 23.82/6.16 | (523) all_0_50_50 = e4 % 23.82/6.16 | % 23.82/6.16 | From (523) and (41) follows: % 23.82/6.16 | (5620) op(e4, e3) = all_0_20_20 % 23.82/6.16 | % 23.82/6.16 | From (523) and (207) follows: % 23.82/6.16 | (524) op(e2, e3) = e4 % 23.82/6.16 | % 23.82/6.16 | Instantiating formula (206) with e4, e4, all_0_6_6, e2 and discharging atoms op(e4, e4) = all_0_6_6, op(e4, e4) = e2, yields: % 23.82/6.16 | (1004) all_0_6_6 = e2 % 23.82/6.16 | % 23.82/6.16 | Instantiating formula (206) with e4, e3, e3, all_0_20_20 and discharging atoms op(e4, e3) = all_0_20_20, op(e4, e3) = e3, yields: % 23.82/6.16 | (5623) all_0_20_20 = e3 % 23.82/6.16 | % 23.82/6.16 | Instantiating formula (206) with e4, e0, e4, all_0_7_7 and discharging atoms op(e4, e0) = all_0_7_7, op(e4, e0) = e4, yields: % 23.82/6.16 | (1006) all_0_7_7 = e4 % 23.82/6.16 | % 23.82/6.16 | Instantiating formula (206) with e3, e0, all_0_37_37, e3 and discharging atoms op(e3, e0) = all_0_37_37, op(e3, e0) = e3, yields: % 23.82/6.16 | (5625) all_0_37_37 = e3 % 23.82/6.16 | % 23.82/6.16 | Instantiating formula (206) with e2, e3, e4, all_0_34_34 and discharging atoms op(e2, e3) = all_0_34_34, op(e2, e3) = e4, yields: % 23.82/6.16 | (5626) all_0_34_34 = e4 % 23.82/6.16 | % 23.82/6.16 | Instantiating formula (206) with e2, e2, all_0_21_21, e3 and discharging atoms op(e2, e2) = all_0_21_21, op(e2, e2) = e3, yields: % 23.82/6.16 | (443) all_0_21_21 = e3 % 23.82/6.16 | % 23.82/6.16 | Instantiating formula (206) with e2, e1, e2, all_0_22_22 and discharging atoms op(e2, e1) = all_0_22_22, op(e2, e1) = e2, yields: % 23.82/6.16 | (440) all_0_22_22 = e2 % 23.82/6.16 | % 23.82/6.16 | Instantiating formula (206) with e0, e4, all_0_4_4, e0 and discharging atoms op(e0, e4) = all_0_4_4, op(e0, e4) = e0, yields: % 23.82/6.16 | (5629) all_0_4_4 = e0 % 23.82/6.16 | % 23.82/6.16 | Instantiating formula (206) with e0, e2, all_0_23_23, e4 and discharging atoms op(e0, e2) = all_0_23_23, op(e0, e2) = e4, yields: % 23.82/6.16 | (5630) all_0_23_23 = e4 % 23.82/6.16 | % 23.82/6.16 | Instantiating formula (206) with e0, e1, e3, all_0_5_5 and discharging atoms op(e0, e1) = all_0_5_5, op(e0, e1) = e3, yields: % 23.82/6.16 | (5195) all_0_5_5 = e3 % 23.82/6.16 | % 23.82/6.16 | From (1004) and (1001) follows: % 23.82/6.16 | (187) op(e4, e4) = e2 % 23.82/6.16 | % 23.82/6.16 | From (5623) and (5620) follows: % 23.82/6.16 | (809) op(e4, e3) = e3 % 23.82/6.16 | % 23.82/6.16 | From (1006) and (1002) follows: % 23.82/6.16 | (522) op(e4, e0) = e4 % 23.82/6.16 | % 23.82/6.16 | From (5625) and (5594) follows: % 23.82/6.16 | (494) op(e3, e0) = e3 % 23.82/6.16 | % 23.82/6.16 | From (5626) and (374) follows: % 23.82/6.16 | (524) op(e2, e3) = e4 % 23.82/6.16 | % 23.82/6.16 | From (443) and (404) follows: % 23.82/6.16 | (72) op(e2, e2) = e3 % 23.82/6.16 | % 23.82/6.16 | From (440) and (405) follows: % 23.82/6.16 | (406) op(e2, e1) = e2 % 23.82/6.16 | % 23.82/6.16 | From (5629) and (4791) follows: % 23.82/6.16 | (812) op(e0, e4) = e0 % 23.82/6.16 | % 23.82/6.16 | From (5630) and (5588) follows: % 23.82/6.16 | (418) op(e0, e2) = e4 % 23.82/6.16 | % 23.82/6.16 | From (5195) and (5129) follows: % 23.82/6.16 | (2846) op(e0, e1) = e3 % 23.82/6.16 | % 23.82/6.16 +-Applying beta-rule and splitting (55), into two cases. % 23.82/6.16 |-Branch one: % 23.82/6.16 | (529) unit = e1 % 23.82/6.16 | % 23.82/6.16 | From (529) and (162) follows: % 23.82/6.16 | (3923) op(e1, e4) = e4 % 23.82/6.16 | % 23.82/6.16 | From (529) and (143) follows: % 23.82/6.16 | (429) op(e1, e3) = e3 % 23.82/6.16 | % 23.82/6.16 | From (529) and (243) follows: % 23.82/6.16 | (530) op(e4, e1) = e4 % 23.82/6.16 | % 23.82/6.16 | Instantiating formula (206) with e4, e1, e4, e0 and discharging atoms op(e4, e1) = e4, op(e4, e1) = e0, yields: % 23.82/6.16 | (481) e4 = e0 % 23.82/6.16 | % 23.82/6.16 | Instantiating formula (206) with e1, e4, e4, e3 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e3, yields: % 23.82/6.16 | (392) e4 = e3 % 23.82/6.16 | % 23.82/6.16 | Instantiating formula (206) with e1, e3, e3, e1 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 23.82/6.16 | (420) e3 = e1 % 23.82/6.16 | % 23.82/6.16 | Combining equations (392,481) yields a new equation: % 23.82/6.16 | (654) e3 = e0 % 23.82/6.16 | % 23.82/6.16 | Simplifying 654 yields: % 23.82/6.16 | (534) e3 = e0 % 23.82/6.16 | % 23.82/6.16 | Combining equations (534,420) yields a new equation: % 23.82/6.16 | (297) e1 = e0 % 23.82/6.16 | % 23.82/6.16 | Equations (297) can reduce 231 to: % 23.82/6.16 | (298) $false % 23.82/6.16 | % 23.82/6.16 |-The branch is then unsatisfiable % 23.82/6.16 |-Branch two: % 23.82/6.16 | (540) ~ (unit = e1) % 23.82/6.16 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 23.82/6.16 | % 23.82/6.16 +-Applying beta-rule and splitting (541), into two cases. % 23.82/6.16 |-Branch one: % 23.82/6.16 | (542) unit = e0 % 23.82/6.16 | % 23.82/6.17 | Equations (542) can reduce 540 to: % 23.82/6.17 | (526) ~ (e1 = e0) % 23.82/6.17 | % 23.82/6.17 | Simplifying 526 yields: % 23.82/6.17 | (231) ~ (e1 = e0) % 23.82/6.17 | % 23.82/6.17 | From (542) and (162) follows: % 23.82/6.17 | (1387) op(e0, e4) = e4 % 23.82/6.17 | % 23.82/6.17 | From (542) and (143) follows: % 23.82/6.17 | (1389) op(e0, e3) = e3 % 23.82/6.17 | % 23.82/6.17 | From (542) and (24) follows: % 23.82/6.17 | (981) op(e0, e2) = e2 % 23.82/6.17 | % 23.82/6.17 | From (542) and (100) follows: % 23.82/6.17 | (2926) op(e0, e1) = e1 % 23.82/6.17 | % 23.82/6.17 | Instantiating formula (206) with e0, e4, e4, e0 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e0, yields: % 23.82/6.17 | (481) e4 = e0 % 23.82/6.17 | % 23.82/6.17 | Instantiating formula (206) with e0, e3, e3, e2 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e2, yields: % 23.82/6.17 | (567) e3 = e2 % 23.82/6.17 | % 23.82/6.17 | Instantiating formula (206) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 23.82/6.17 | (409) e4 = e2 % 23.82/6.17 | % 23.82/6.17 | Instantiating formula (206) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields: % 23.82/6.17 | (420) e3 = e1 % 23.82/6.17 | % 23.82/6.17 | Combining equations (409,481) yields a new equation: % 23.82/6.17 | (568) e2 = e0 % 23.82/6.17 | % 23.82/6.17 | Simplifying 568 yields: % 23.82/6.17 | (569) e2 = e0 % 23.82/6.17 | % 23.82/6.17 | Combining equations (420,567) yields a new equation: % 23.82/6.17 | (544) e2 = e1 % 23.82/6.17 | % 23.82/6.17 | Combining equations (569,544) yields a new equation: % 23.82/6.17 | (297) e1 = e0 % 23.82/6.17 | % 23.82/6.17 | Equations (297) can reduce 231 to: % 23.82/6.17 | (298) $false % 23.82/6.17 | % 23.82/6.17 |-The branch is then unsatisfiable % 23.82/6.17 |-Branch two: % 23.82/6.17 | (546) ~ (unit = e0) % 23.82/6.17 | (547) unit = e4 | unit = e3 | unit = e2 % 23.82/6.17 | % 23.82/6.17 +-Applying beta-rule and splitting (547), into two cases. % 23.82/6.17 |-Branch one: % 23.82/6.17 | (548) unit = e3 % 23.82/6.17 | % 23.82/6.17 | From (548) and (60) follows: % 23.82/6.17 | (549) op(e3, e0) = e0 % 23.82/6.17 | % 23.82/6.17 | From (548) and (243) follows: % 23.82/6.17 | (763) op(e4, e3) = e4 % 23.82/6.17 | % 23.82/6.17 | From (548) and (66) follows: % 23.82/6.17 | (1415) op(e2, e3) = e2 % 23.82/6.17 | % 23.82/6.17 | Instantiating formula (206) with e4, e3, e4, e3 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e3, yields: % 23.82/6.17 | (392) e4 = e3 % 23.82/6.17 | % 23.82/6.17 | Instantiating formula (206) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 23.82/6.17 | (534) e3 = e0 % 23.82/6.17 | % 23.82/6.17 | Instantiating formula (206) with e2, e3, e2, e4 and discharging atoms op(e2, e3) = e4, op(e2, e3) = e2, yields: % 23.82/6.17 | (409) e4 = e2 % 23.82/6.17 | % 23.82/6.17 | Combining equations (409,392) yields a new equation: % 23.82/6.17 | (567) e3 = e2 % 23.82/6.17 | % 23.82/6.17 | Combining equations (567,534) yields a new equation: % 23.82/6.17 | (568) e2 = e0 % 23.82/6.17 | % 23.82/6.17 | Simplifying 568 yields: % 23.82/6.17 | (569) e2 = e0 % 23.82/6.17 | % 23.82/6.17 | Equations (569) can reduce 139 to: % 23.82/6.17 | (298) $false % 23.82/6.17 | % 23.82/6.17 |-The branch is then unsatisfiable % 23.82/6.17 |-Branch two: % 23.82/6.17 | (555) ~ (unit = e3) % 23.82/6.17 | (556) unit = e4 | unit = e2 % 23.82/6.17 | % 23.82/6.17 +-Applying beta-rule and splitting (556), into two cases. % 23.82/6.17 |-Branch one: % 23.82/6.17 | (557) unit = e4 % 23.82/6.17 | % 23.82/6.17 | From (557) and (60) follows: % 23.82/6.17 | (559) op(e4, e0) = e0 % 23.82/6.17 | % 23.82/6.17 | From (557) and (243) follows: % 23.82/6.17 | (560) op(e4, e4) = e4 % 23.82/6.17 | % 23.82/6.17 | From (557) and (66) follows: % 23.82/6.17 | (811) op(e2, e4) = e2 % 23.82/6.17 | % 23.82/6.17 | Instantiating formula (206) with e4, e4, e4, e2 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e2, yields: % 23.82/6.17 | (409) e4 = e2 % 23.82/6.17 | % 23.82/6.17 | Instantiating formula (206) with e4, e0, e0, e4 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 23.82/6.17 | (481) e4 = e0 % 23.82/6.17 | % 23.82/6.17 | Instantiating formula (206) with e2, e4, e2, e1 and discharging atoms op(e2, e4) = e2, op(e2, e4) = e1, yields: % 23.82/6.17 | (544) e2 = e1 % 23.82/6.17 | % 23.82/6.17 | Combining equations (409,481) yields a new equation: % 23.82/6.17 | (568) e2 = e0 % 23.82/6.17 | % 23.82/6.17 | Simplifying 568 yields: % 23.82/6.17 | (569) e2 = e0 % 23.82/6.17 | % 23.82/6.17 | Combining equations (544,569) yields a new equation: % 23.82/6.17 | (296) e1 = e0 % 23.82/6.17 | % 23.82/6.17 | Simplifying 296 yields: % 23.82/6.17 | (297) e1 = e0 % 23.82/6.17 | % 23.82/6.17 | Equations (297) can reduce 231 to: % 23.82/6.17 | (298) $false % 23.82/6.17 | % 23.82/6.17 |-The branch is then unsatisfiable % 23.82/6.17 |-Branch two: % 23.82/6.17 | (573) ~ (unit = e4) % 23.82/6.17 | (574) unit = e2 % 23.82/6.17 | % 23.82/6.17 | From (574) and (143) follows: % 23.82/6.17 | (575) op(e2, e3) = e3 % 23.82/6.17 | % 23.82/6.17 | From (574) and (100) follows: % 23.82/6.17 | (825) op(e2, e1) = e1 % 23.82/6.17 | % 23.82/6.17 | From (574) and (66) follows: % 23.82/6.17 | (577) op(e2, e2) = e2 % 23.82/6.17 | % 23.82/6.17 | From (574) and (67) follows: % 23.82/6.17 | (578) op(e0, e2) = e0 % 23.82/6.17 | % 23.82/6.17 | Instantiating formula (206) with e2, e3, e3, e4 and discharging atoms op(e2, e3) = e4, op(e2, e3) = e3, yields: % 23.82/6.17 | (392) e4 = e3 % 23.82/6.17 | % 23.82/6.17 | Instantiating formula (206) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 23.82/6.17 | (567) e3 = e2 % 23.82/6.17 | % 23.82/6.17 | Instantiating formula (206) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 23.82/6.17 | (544) e2 = e1 % 23.82/6.17 | % 23.82/6.17 | Instantiating formula (206) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields: % 23.82/6.17 | (481) e4 = e0 % 23.82/6.17 | % 23.82/6.17 | Combining equations (392,481) yields a new equation: % 23.82/6.17 | (654) e3 = e0 % 23.82/6.17 | % 23.82/6.17 | Simplifying 654 yields: % 23.82/6.17 | (534) e3 = e0 % 23.82/6.17 | % 23.82/6.17 | Combining equations (534,567) yields a new equation: % 23.82/6.17 | (569) e2 = e0 % 23.82/6.17 | % 23.82/6.17 | Combining equations (569,544) yields a new equation: % 23.82/6.17 | (297) e1 = e0 % 23.82/6.17 | % 23.82/6.17 | Equations (297) can reduce 231 to: % 23.82/6.17 | (298) $false % 23.82/6.17 | % 23.82/6.17 |-The branch is then unsatisfiable % 23.82/6.17 |-Branch two: % 23.82/6.17 | (596) ~ (all_0_50_50 = e4) % 23.82/6.17 | (838) all_0_50_50 = e2 % 23.82/6.17 | % 23.82/6.17 | Equations (838) can reduce 398 to: % 23.82/6.17 | (298) $false % 23.82/6.17 | % 23.82/6.17 |-The branch is then unsatisfiable % 23.82/6.17 |-Branch two: % 23.82/6.17 | (922) ~ (all_0_57_57 = e2) % 23.82/6.17 | (923) all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 23.82/6.17 | % 23.82/6.17 +-Applying beta-rule and splitting (248), into two cases. % 23.82/6.17 |-Branch one: % 23.82/6.17 | (948) all_0_45_45 = e2 % 23.82/6.17 | % 23.82/6.17 | Combining equations (295,948) yields a new equation: % 23.82/6.17 | (569) e2 = e0 % 23.82/6.17 | % 23.82/6.17 | Equations (569) can reduce 139 to: % 23.82/6.17 | (298) $false % 23.82/6.17 | % 23.82/6.17 |-The branch is then unsatisfiable % 23.82/6.17 |-Branch two: % 23.82/6.17 | (951) ~ (all_0_45_45 = e2) % 23.82/6.17 | (952) all_0_50_50 = e2 | all_0_54_54 = e2 | all_0_57_57 = e2 % 23.82/6.17 | % 23.82/6.17 +-Applying beta-rule and splitting (774), into two cases. % 23.82/6.17 |-Branch one: % 23.82/6.17 | (781) all_0_50_50 = e0 % 23.82/6.17 | % 23.82/6.17 | Equations (781) can reduce 661 to: % 23.82/6.17 | (298) $false % 23.82/6.17 | % 23.82/6.17 |-The branch is then unsatisfiable % 23.82/6.17 |-Branch two: % 23.82/6.17 | (661) ~ (all_0_50_50 = e0) % 23.82/6.17 | (834) all_0_50_50 = e4 | all_0_50_50 = e2 % 23.82/6.17 | % 23.82/6.17 +-Applying beta-rule and splitting (834), into two cases. % 23.82/6.17 |-Branch one: % 23.82/6.17 | (523) all_0_50_50 = e4 % 23.82/6.17 | % 23.82/6.17 | Equations (523) can reduce 398 to: % 23.82/6.17 | (46) ~ (e4 = e2) % 23.82/6.17 | % 23.82/6.17 +-Applying beta-rule and splitting (952), into two cases. % 23.82/6.17 |-Branch one: % 23.82/6.17 | (838) all_0_50_50 = e2 % 23.82/6.17 | % 23.82/6.17 | Combining equations (523,838) yields a new equation: % 23.82/6.17 | (408) e4 = e2 % 23.82/6.17 | % 23.82/6.17 | Simplifying 408 yields: % 23.82/6.17 | (409) e4 = e2 % 23.82/6.17 | % 23.82/6.17 | Equations (409) can reduce 46 to: % 23.82/6.17 | (298) $false % 23.82/6.17 | % 23.82/6.17 |-The branch is then unsatisfiable % 23.82/6.17 |-Branch two: % 23.82/6.17 | (398) ~ (all_0_50_50 = e2) % 23.82/6.17 | (2026) all_0_54_54 = e2 | all_0_57_57 = e2 % 23.82/6.17 | % 23.82/6.17 +-Applying beta-rule and splitting (2026), into two cases. % 23.82/6.17 |-Branch one: % 23.82/6.17 | (382) all_0_54_54 = e2 % 23.82/6.17 | % 23.82/6.17 | Combining equations (382,1669) yields a new equation: % 23.82/6.17 | (887) e2 = e1 % 23.82/6.17 | % 23.82/6.17 | Simplifying 887 yields: % 23.82/6.17 | (544) e2 = e1 % 23.82/6.17 | % 23.82/6.17 | Equations (544) can reduce 134 to: % 23.82/6.17 | (298) $false % 23.82/6.17 | % 23.82/6.17 |-The branch is then unsatisfiable % 23.82/6.17 |-Branch two: % 23.82/6.17 | (373) ~ (all_0_54_54 = e2) % 23.82/6.17 | (372) all_0_57_57 = e2 % 23.82/6.17 | % 23.82/6.17 | Equations (372) can reduce 922 to: % 23.82/6.17 | (298) $false % 23.82/6.17 | % 23.82/6.17 |-The branch is then unsatisfiable % 23.82/6.17 |-Branch two: % 23.82/6.17 | (596) ~ (all_0_50_50 = e4) % 23.82/6.17 | (838) all_0_50_50 = e2 % 23.82/6.17 | % 23.82/6.17 | Equations (838) can reduce 398 to: % 23.82/6.17 | (298) $false % 23.82/6.17 | % 23.82/6.17 |-The branch is then unsatisfiable % 23.82/6.17 |-Branch two: % 23.82/6.17 | (304) ~ (all_0_52_52 = e0) % 23.82/6.17 | (2984) all_0_52_52 = e4 | all_0_52_52 = e2 % 23.82/6.17 | % 23.82/6.17 +-Applying beta-rule and splitting (2984), into two cases. % 23.82/6.17 |-Branch one: % 23.82/6.17 | (597) all_0_52_52 = e4 % 23.82/6.17 | % 23.82/6.17 | Equations (597) can reduce 695 to: % 23.82/6.17 | (298) $false % 23.82/6.17 | % 23.82/6.17 |-The branch is then unsatisfiable % 23.82/6.17 |-Branch two: % 23.82/6.17 | (695) ~ (all_0_52_52 = e4) % 23.82/6.17 | (938) all_0_52_52 = e2 % 23.82/6.17 | % 23.82/6.17 | Equations (938) can reduce 941 to: % 23.82/6.17 | (298) $false % 23.82/6.17 | % 23.82/6.17 |-The branch is then unsatisfiable % 23.82/6.17 |-Branch two: % 23.82/6.17 | (463) ~ (all_0_42_42 = e0) % 23.82/6.17 | (469) all_0_42_42 = e3 % 23.82/6.17 | % 23.82/6.17 | Equations (469) can reduce 847 to: % 23.82/6.17 | (298) $false % 23.82/6.17 | % 23.82/6.17 |-The branch is then unsatisfiable % 23.82/6.17 |-Branch two: % 23.82/6.17 | (425) ~ (all_0_40_40 = e3) % 23.82/6.17 | (1257) all_0_42_42 = e3 | all_0_43_43 = e3 % 23.82/6.17 | % 23.82/6.17 +-Applying beta-rule and splitting (4), into two cases. % 23.82/6.17 |-Branch one: % 23.82/6.17 | (755) all_0_40_40 = e3 % 23.82/6.17 | % 23.82/6.17 | Equations (755) can reduce 425 to: % 23.82/6.17 | (298) $false % 23.82/6.17 | % 23.82/6.17 |-The branch is then unsatisfiable % 23.82/6.17 |-Branch two: % 23.82/6.17 | (425) ~ (all_0_40_40 = e3) % 23.82/6.17 | (1265) all_0_45_45 = e3 | all_0_54_54 = e3 | all_0_57_57 = e3 % 23.82/6.17 | % 23.82/6.17 +-Applying beta-rule and splitting (1257), into two cases. % 23.82/6.17 |-Branch one: % 23.82/6.17 | (469) all_0_42_42 = e3 % 23.82/6.17 | % 23.82/6.17 | Equations (469) can reduce 153 to: % 23.82/6.17 | (1908) ~ (all_0_51_51 = e3) % 23.82/6.17 | % 23.82/6.17 | Simplifying 1908 yields: % 23.82/6.17 | (241) ~ (all_0_51_51 = e3) % 23.82/6.17 | % 23.82/6.17 | Equations (469) can reduce 118 to: % 23.82/6.17 | (2351) ~ (all_0_59_59 = e3) % 23.82/6.17 | % 23.82/6.17 | Simplifying 2351 yields: % 23.82/6.17 | (910) ~ (all_0_59_59 = e3) % 23.82/6.17 | % 23.82/6.17 | Equations (469) can reduce 256 to: % 23.82/6.17 | (214) ~ (e3 = e1) % 23.82/6.17 | % 23.82/6.17 +-Applying beta-rule and splitting (1265), into two cases. % 23.82/6.17 |-Branch one: % 23.82/6.17 | (1083) all_0_45_45 = e3 % 23.82/6.17 | % 23.82/6.17 | Combining equations (295,1083) yields a new equation: % 23.82/6.17 | (534) e3 = e0 % 23.82/6.17 | % 23.82/6.17 | Equations (534) can reduce 84 to: % 23.82/6.17 | (298) $false % 23.82/6.17 | % 23.82/6.17 |-The branch is then unsatisfiable % 23.82/6.17 |-Branch two: % 23.82/6.17 | (1087) ~ (all_0_45_45 = e3) % 23.82/6.17 | (1271) all_0_54_54 = e3 | all_0_57_57 = e3 % 23.82/6.17 | % 23.82/6.17 +-Applying beta-rule and splitting (109), into two cases. % 23.82/6.17 |-Branch one: % 23.82/6.17 | (747) all_0_40_40 = e1 % 23.82/6.17 | % 23.82/6.17 | Equations (747) can reduce 254 to: % 23.82/6.17 | (298) $false % 23.82/6.17 | % 23.82/6.17 |-The branch is then unsatisfiable % 23.82/6.17 |-Branch two: % 23.82/6.17 | (254) ~ (all_0_40_40 = e1) % 23.82/6.17 | (750) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e0 % 23.82/6.17 | % 23.82/6.17 +-Applying beta-rule and splitting (750), into two cases. % 23.82/6.17 |-Branch one: % 23.82/6.17 | (461) all_0_40_40 = e0 % 23.82/6.17 | % 23.82/6.17 | Equations (461) can reduce 745 to: % 23.82/6.17 | (298) $false % 23.82/6.17 | % 23.82/6.17 |-The branch is then unsatisfiable % 23.82/6.17 |-Branch two: % 23.82/6.17 | (745) ~ (all_0_40_40 = e0) % 23.82/6.17 | (754) all_0_40_40 = e4 | all_0_40_40 = e3 % 23.82/6.17 | % 23.82/6.17 +-Applying beta-rule and splitting (215), into two cases. % 23.82/6.17 |-Branch one: % 23.82/6.17 | (341) all_0_59_59 = e1 % 23.82/6.17 | % 23.82/6.17 | Equations (341) can reduce 2156 to: % 23.82/6.17 | (298) $false % 23.82/6.17 | % 23.82/6.17 |-The branch is then unsatisfiable % 23.82/6.17 |-Branch two: % 23.82/6.17 | (2156) ~ (all_0_59_59 = e1) % 23.82/6.17 | (2378) all_0_59_59 = e3 | all_0_59_59 = e2 | all_0_59_59 = e0 % 23.82/6.17 | % 23.82/6.17 +-Applying beta-rule and splitting (2378), into two cases. % 23.82/6.17 |-Branch one: % 23.82/6.17 | (2627) all_0_59_59 = e0 % 23.82/6.17 | % 23.82/6.17 | Equations (2627) can reduce 309 to: % 23.82/6.17 | (298) $false % 23.82/6.17 | % 23.82/6.17 |-The branch is then unsatisfiable % 23.82/6.17 |-Branch two: % 23.82/6.17 | (309) ~ (all_0_59_59 = e0) % 23.82/6.17 | (2774) all_0_59_59 = e3 | all_0_59_59 = e2 % 23.82/6.17 | % 23.82/6.17 +-Applying beta-rule and splitting (2774), into two cases. % 23.82/6.17 |-Branch one: % 23.82/6.17 | (907) all_0_59_59 = e3 % 23.82/6.17 | % 23.82/6.17 | Equations (907) can reduce 910 to: % 23.82/6.17 | (298) $false % 23.82/6.17 | % 23.82/6.17 |-The branch is then unsatisfiable % 23.82/6.17 |-Branch two: % 23.82/6.17 | (910) ~ (all_0_59_59 = e3) % 23.82/6.17 | (886) all_0_59_59 = e2 % 23.82/6.17 | % 23.82/6.17 | Equations (886) can reduce 73 to: % 23.82/6.17 | (885) ~ (all_0_51_51 = e2) % 23.82/6.17 | % 23.82/6.17 | Equations (886) can reduce 123 to: % 23.82/6.17 | (399) ~ (e4 = e2) % 23.82/6.18 | % 23.82/6.18 | Simplifying 399 yields: % 23.82/6.18 | (46) ~ (e4 = e2) % 23.82/6.18 | % 23.82/6.18 +-Applying beta-rule and splitting (1271), into two cases. % 23.82/6.18 |-Branch one: % 23.82/6.18 | (424) all_0_54_54 = e3 % 23.82/6.18 | % 23.82/6.18 | Combining equations (424,1669) yields a new equation: % 23.82/6.18 | (1084) e3 = e1 % 23.82/6.18 | % 23.82/6.18 | Simplifying 1084 yields: % 23.82/6.18 | (420) e3 = e1 % 23.82/6.18 | % 23.82/6.18 | Equations (420) can reduce 214 to: % 23.82/6.18 | (298) $false % 23.82/6.18 | % 23.82/6.18 |-The branch is then unsatisfiable % 23.82/6.18 |-Branch two: % 23.82/6.18 | (875) ~ (all_0_54_54 = e3) % 23.82/6.18 | (902) all_0_57_57 = e3 % 23.82/6.18 | % 23.82/6.18 | Equations (902) can reduce 64 to: % 23.82/6.18 | (425) ~ (all_0_40_40 = e3) % 23.82/6.18 | % 23.82/6.18 | Equations (902) can reduce 9 to: % 23.82/6.18 | (252) ~ (all_0_50_50 = e3) % 23.82/6.18 | % 23.82/6.18 +-Applying beta-rule and splitting (1707), into two cases. % 23.82/6.18 |-Branch one: % 23.82/6.18 | (1730) all_0_51_51 = e0 % 23.82/6.18 | % 23.82/6.18 | Equations (1730) can reduce 22 to: % 23.82/6.18 | (4559) ~ (all_0_52_52 = e0) % 23.82/6.18 | % 23.82/6.18 | Simplifying 4559 yields: % 23.82/6.18 | (304) ~ (all_0_52_52 = e0) % 23.82/6.18 | % 23.82/6.18 | Equations (1730) can reduce 241 to: % 23.82/6.18 | (620) ~ (e3 = e0) % 23.82/6.18 | % 23.82/6.18 | Simplifying 620 yields: % 23.82/6.18 | (84) ~ (e3 = e0) % 23.82/6.18 | % 23.82/6.18 +-Applying beta-rule and splitting (103), into two cases. % 23.82/6.18 |-Branch one: % 23.82/6.18 | (838) all_0_50_50 = e2 % 23.82/6.18 | % 23.82/6.18 | Equations (838) can reduce 75 to: % 23.82/6.18 | (246) ~ (all_0_40_40 = e2) % 23.82/6.18 | % 23.82/6.18 | Equations (838) can reduce 252 to: % 23.82/6.18 | (401) ~ (e3 = e2) % 23.82/6.18 | % 23.82/6.18 | Simplifying 401 yields: % 23.82/6.18 | (213) ~ (e3 = e2) % 23.82/6.18 | % 23.82/6.18 +-Applying beta-rule and splitting (12), into two cases. % 23.82/6.18 |-Branch one: % 23.82/6.18 | (1253) all_0_43_43 = e0 % 23.82/6.18 | % 23.82/6.18 | Equations (1253) can reduce 194 to: % 23.82/6.18 | (4559) ~ (all_0_52_52 = e0) % 23.82/6.18 | % 23.82/6.18 | Simplifying 4559 yields: % 23.82/6.18 | (304) ~ (all_0_52_52 = e0) % 23.82/6.18 | % 23.82/6.18 | Equations (1253) can reduce 258 to: % 23.82/6.18 | (526) ~ (e1 = e0) % 23.82/6.18 | % 23.82/6.18 | Simplifying 526 yields: % 23.82/6.18 | (231) ~ (e1 = e0) % 23.82/6.18 | % 23.82/6.18 +-Applying beta-rule and splitting (216), into two cases. % 23.82/6.18 |-Branch one: % 23.82/6.18 | (479) all_0_40_40 = e4 % 23.82/6.18 | % 23.82/6.18 | Equations (479) can reduce 246 to: % 23.82/6.18 | (46) ~ (e4 = e2) % 23.82/6.18 | % 23.82/6.18 | Equations (479) can reduce 254 to: % 23.82/6.18 | (115) ~ (e4 = e1) % 23.82/6.18 | % 23.82/6.18 +-Applying beta-rule and splitting (226), into two cases. % 23.82/6.18 |-Branch one: % 23.82/6.18 | (506) all_0_49_49 = e4 % 23.82/6.18 | % 23.82/6.18 | Combining equations (457,506) yields a new equation: % 23.82/6.18 | (535) e4 = e1 % 23.82/6.18 | % 23.82/6.18 | Equations (535) can reduce 115 to: % 23.82/6.18 | (298) $false % 23.82/6.18 | % 23.82/6.18 |-The branch is then unsatisfiable % 23.82/6.18 |-Branch two: % 23.82/6.18 | (497) ~ (all_0_49_49 = e4) % 23.82/6.18 | (509) all_0_50_50 = e4 | all_0_52_52 = e4 % 23.82/6.18 | % 23.82/6.18 +-Applying beta-rule and splitting (133), into two cases. % 23.82/6.18 |-Branch one: % 23.82/6.18 | (326) all_0_52_52 = e1 % 23.82/6.18 | % 23.82/6.18 | Equations (326) can reduce 2161 to: % 23.82/6.18 | (298) $false % 23.82/6.18 | % 23.82/6.18 |-The branch is then unsatisfiable % 23.82/6.18 |-Branch two: % 23.82/6.18 | (2161) ~ (all_0_52_52 = e1) % 23.82/6.18 | (2880) all_0_52_52 = e4 | all_0_52_52 = e2 | all_0_52_52 = e0 % 23.82/6.18 | % 23.82/6.18 +-Applying beta-rule and splitting (509), into two cases. % 23.82/6.18 |-Branch one: % 23.82/6.18 | (523) all_0_50_50 = e4 % 23.82/6.18 | % 23.82/6.18 | Combining equations (838,523) yields a new equation: % 23.82/6.18 | (409) e4 = e2 % 23.82/6.18 | % 23.82/6.18 | Equations (409) can reduce 46 to: % 23.82/6.18 | (298) $false % 23.82/6.18 | % 23.82/6.18 |-The branch is then unsatisfiable % 23.82/6.18 |-Branch two: % 23.82/6.18 | (596) ~ (all_0_50_50 = e4) % 23.82/6.18 | (597) all_0_52_52 = e4 % 23.82/6.18 | % 23.82/6.18 | Combining equations (597,5414) yields a new equation: % 23.82/6.18 | (5834) all_0_30_30 = e4 % 23.82/6.18 | % 23.82/6.18 | Equations (597) can reduce 95 to: % 23.82/6.18 | (184) ~ (e4 = e3) % 23.82/6.18 | % 23.82/6.18 | Equations (597) can reduce 2161 to: % 23.82/6.18 | (115) ~ (e4 = e1) % 23.82/6.18 | % 23.82/6.18 | Equations (597) can reduce 304 to: % 23.82/6.18 | (47) ~ (e4 = e0) % 23.82/6.18 | % 23.82/6.18 +-Applying beta-rule and splitting (132), into two cases. % 23.82/6.18 |-Branch one: % 23.82/6.18 | (4611) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_38_38 = e0 & ~ (all_0_37_37 = e1) & ~ (all_0_55_55 = all_0_59_59)) % 23.82/6.18 | % 23.82/6.18 +-Applying beta-rule and splitting (4611), into two cases. % 23.82/6.18 |-Branch one: % 23.82/6.18 | (4612) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_52_52 = all_0_58_58)) % 23.82/6.18 | % 23.82/6.18 +-Applying beta-rule and splitting (4612), into two cases. % 23.82/6.18 |-Branch one: % 23.82/6.18 | (4613) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_48_48 = all_0_57_57)) % 23.82/6.18 | % 23.82/6.18 +-Applying beta-rule and splitting (4613), into two cases. % 23.82/6.18 |-Branch one: % 23.82/6.18 | (4614) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56)) % 23.82/6.18 | % 23.82/6.18 +-Applying beta-rule and splitting (4614), into two cases. % 23.82/6.18 |-Branch one: % 23.82/6.18 | (4615) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) % 23.82/6.18 | % 23.82/6.18 +-Applying beta-rule and splitting (4615), into two cases. % 23.82/6.18 |-Branch one: % 23.82/6.18 | (4616) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) % 23.82/6.18 | % 23.82/6.18 +-Applying beta-rule and splitting (4616), into two cases. % 23.82/6.18 |-Branch one: % 23.82/6.18 | (4617) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) % 23.82/6.18 | % 23.82/6.18 +-Applying beta-rule and splitting (4617), into two cases. % 23.82/6.18 |-Branch one: % 23.82/6.18 | (4618) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) % 23.82/6.19 | % 23.82/6.19 +-Applying beta-rule and splitting (4618), into two cases. % 23.82/6.19 |-Branch one: % 23.82/6.19 | (4619) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) % 23.82/6.19 | % 23.82/6.19 +-Applying beta-rule and splitting (4619), into two cases. % 23.82/6.19 |-Branch one: % 23.82/6.19 | (4620) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) % 23.82/6.19 | % 23.82/6.19 +-Applying beta-rule and splitting (4620), into two cases. % 23.82/6.19 |-Branch one: % 23.82/6.19 | (4621) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) % 23.82/6.19 | % 23.82/6.19 +-Applying beta-rule and splitting (4621), into two cases. % 23.82/6.19 |-Branch one: % 23.82/6.19 | (4622) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) % 23.82/6.19 | % 23.82/6.19 +-Applying beta-rule and splitting (4622), into two cases. % 23.82/6.19 |-Branch one: % 23.82/6.19 | (4623) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) % 23.82/6.19 | % 23.82/6.19 +-Applying beta-rule and splitting (4623), into two cases. % 23.82/6.19 |-Branch one: % 23.82/6.19 | (4624) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) % 23.82/6.19 | % 23.82/6.19 +-Applying beta-rule and splitting (4624), into two cases. % 23.82/6.19 |-Branch one: % 23.82/6.19 | (4625) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) % 23.82/6.19 | % 23.82/6.19 +-Applying beta-rule and splitting (4625), into two cases. % 23.82/6.19 |-Branch one: % 23.82/6.19 | (4626) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) % 23.82/6.19 | % 23.82/6.19 +-Applying beta-rule and splitting (4626), into two cases. % 23.82/6.19 |-Branch one: % 23.82/6.19 | (4627) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) % 23.82/6.19 | % 23.82/6.19 +-Applying beta-rule and splitting (4627), into two cases. % 23.82/6.19 |-Branch one: % 23.82/6.19 | (4628) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) % 23.82/6.19 | % 23.82/6.19 +-Applying beta-rule and splitting (4628), into two cases. % 23.82/6.19 |-Branch one: % 23.82/6.19 | (4629) all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44) % 23.82/6.19 | % 23.82/6.19 | Applying alpha-rule on (4629) yields: % 23.82/6.19 | (1760) all_0_1_1 = e4 % 23.82/6.19 | (4631) ~ (all_0_0_0 = e3) % 23.82/6.19 | (4632) ~ (all_0_40_40 = all_0_44_44) % 23.82/6.19 | % 23.82/6.19 | Equations (479,495) can reduce 4632 to: % 23.82/6.19 | (298) $false % 23.82/6.19 | % 23.82/6.19 |-The branch is then unsatisfiable % 23.82/6.19 |-Branch two: % 23.82/6.19 | (4634) all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49) % 23.82/6.19 | % 23.82/6.19 | Applying alpha-rule on (4634) yields: % 23.82/6.19 | (4635) all_0_3_3 = e4 % 23.82/6.19 | (4636) ~ (all_0_2_2 = e2) % 23.82/6.19 | (4637) ~ (all_0_41_41 = all_0_49_49) % 23.82/6.19 | % 23.82/6.19 | Combining equations (4635,270) yields a new equation: % 23.82/6.19 | (480) e4 = e0 % 23.82/6.19 | % 23.82/6.19 | Simplifying 480 yields: % 23.82/6.19 | (481) e4 = e0 % 23.82/6.19 | % 23.82/6.19 | Equations (481) can reduce 47 to: % 23.82/6.19 | (298) $false % 23.82/6.19 | % 23.82/6.19 |-The branch is then unsatisfiable % 23.82/6.19 |-Branch two: % 23.82/6.19 | (4641) all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53) % 23.82/6.19 | % 23.82/6.19 | Applying alpha-rule on (4641) yields: % 23.82/6.19 | (4642) all_0_5_5 = e4 % 23.82/6.19 | (4643) ~ (all_0_4_4 = e1) % 23.82/6.19 | (4644) ~ (all_0_42_42 = all_0_53_53) % 23.82/6.19 | % 23.82/6.19 | Equations (469,419) can reduce 4644 to: % 23.82/6.19 | (298) $false % 23.82/6.19 | % 23.82/6.19 |-The branch is then unsatisfiable % 23.82/6.19 |-Branch two: % 23.82/6.19 | (4646) all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56) % 23.82/6.19 | % 23.82/6.19 | Applying alpha-rule on (4646) yields: % 23.82/6.19 | (1006) all_0_7_7 = e4 % 23.82/6.19 | (4648) ~ (all_0_6_6 = e0) % 23.82/6.19 | (4649) ~ (all_0_43_43 = all_0_56_56) % 23.82/6.19 | % 23.82/6.19 | Equations (1253,653) can reduce 4649 to: % 23.82/6.19 | (298) $false % 23.82/6.19 | % 23.82/6.19 |-The branch is then unsatisfiable % 23.82/6.19 |-Branch two: % 23.82/6.19 | (4651) all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44) % 23.82/6.19 | % 23.82/6.19 | Applying alpha-rule on (4651) yields: % 23.82/6.19 | (2277) all_0_9_9 = e3 % 23.82/6.19 | (4653) ~ (all_0_8_8 = e4) % 23.82/6.20 | (4632) ~ (all_0_40_40 = all_0_44_44) % 23.82/6.20 | % 23.82/6.20 | Combining equations (2277,5528) yields a new equation: % 23.82/6.20 | (877) e3 = e2 % 23.82/6.20 | % 23.82/6.20 | Simplifying 877 yields: % 23.82/6.20 | (567) e3 = e2 % 23.82/6.20 | % 23.82/6.20 | Equations (567) can reduce 213 to: % 23.82/6.20 | (298) $false % 23.82/6.20 | % 23.82/6.20 |-The branch is then unsatisfiable % 23.82/6.20 |-Branch two: % 23.82/6.20 | (4657) all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50) % 23.82/6.20 | % 23.82/6.20 | Applying alpha-rule on (4657) yields: % 23.82/6.20 | (437) all_0_12_12 = e3 % 23.82/6.20 | (4659) ~ (all_0_11_11 = e2) % 23.82/6.20 | (4660) ~ (all_0_46_46 = all_0_50_50) % 23.82/6.20 | % 23.82/6.20 | Equations (358,838) can reduce 4660 to: % 23.82/6.20 | (298) $false % 23.82/6.20 | % 23.82/6.20 |-The branch is then unsatisfiable % 23.82/6.20 |-Branch two: % 23.82/6.20 | (4663) all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54) % 23.82/6.20 | % 23.82/6.20 | Applying alpha-rule on (4663) yields: % 23.82/6.20 | (4664) all_0_14_14 = e3 % 23.82/6.20 | (4665) ~ (all_0_13_13 = e1) % 23.82/6.20 | (4666) ~ (all_0_47_47 = all_0_54_54) % 23.82/6.20 | % 23.82/6.20 | Combining equations (4664,2240) yields a new equation: % 23.82/6.20 | (392) e4 = e3 % 23.82/6.20 | % 23.82/6.20 | Equations (392) can reduce 184 to: % 23.82/6.20 | (298) $false % 23.82/6.20 | % 23.82/6.20 |-The branch is then unsatisfiable % 23.82/6.20 |-Branch two: % 23.82/6.20 | (4668) all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57) % 23.82/6.20 | % 23.82/6.20 | Applying alpha-rule on (4668) yields: % 23.82/6.20 | (4669) all_0_16_16 = e3 % 23.82/6.20 | (4670) ~ (all_0_15_15 = e0) % 23.82/6.20 | (4671) ~ (all_0_48_48 = all_0_57_57) % 23.82/6.20 | % 23.82/6.20 | Equations (491,902) can reduce 4671 to: % 23.82/6.20 | (298) $false % 23.82/6.20 | % 23.82/6.20 |-The branch is then unsatisfiable % 23.82/6.20 |-Branch two: % 23.82/6.20 | (4673) all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49) % 23.82/6.20 | % 23.82/6.20 | Applying alpha-rule on (4673) yields: % 23.82/6.20 | (4674) all_0_18_18 = e2 % 23.82/6.20 | (4675) ~ (all_0_17_17 = e4) % 23.82/6.20 | (4637) ~ (all_0_41_41 = all_0_49_49) % 23.82/6.20 | % 23.82/6.20 | Combining equations (4482,4674) yields a new equation: % 23.82/6.20 | (877) e3 = e2 % 23.82/6.20 | % 23.82/6.20 | Simplifying 877 yields: % 23.82/6.20 | (567) e3 = e2 % 23.82/6.20 | % 23.82/6.20 | Equations (567) can reduce 213 to: % 23.82/6.20 | (298) $false % 23.82/6.20 | % 23.82/6.20 |-The branch is then unsatisfiable % 23.82/6.20 |-Branch two: % 23.82/6.20 | (4679) all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50) % 23.82/6.20 | % 23.82/6.20 | Applying alpha-rule on (4679) yields: % 23.82/6.20 | (4680) all_0_20_20 = e2 % 23.82/6.20 | (4681) ~ (all_0_19_19 = e3) % 23.82/6.20 | (4660) ~ (all_0_46_46 = all_0_50_50) % 23.82/6.20 | % 23.82/6.20 | Equations (358,838) can reduce 4660 to: % 23.82/6.20 | (298) $false % 23.82/6.20 | % 23.82/6.20 |-The branch is then unsatisfiable % 23.82/6.20 |-Branch two: % 23.82/6.20 | (4684) all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0) % 23.82/6.20 | % 23.82/6.20 | Applying alpha-rule on (4684) yields: % 23.82/6.20 | (440) all_0_22_22 = e2 % 23.82/6.20 | (4686) ~ (all_0_21_21 = e1) % 23.82/6.20 | (1871) ~ (all_0_51_51 = e0) % 23.82/6.20 | % 23.82/6.20 | Equations (1730) can reduce 1871 to: % 23.82/6.20 | (298) $false % 23.82/6.20 | % 23.82/6.20 |-The branch is then unsatisfiable % 23.82/6.20 |-Branch two: % 23.82/6.20 | (4689) all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58) % 23.82/6.20 | % 23.82/6.20 | Applying alpha-rule on (4689) yields: % 23.82/6.20 | (4690) all_0_24_24 = e2 % 23.82/6.20 | (4691) ~ (all_0_23_23 = e0) % 23.82/6.20 | (4692) ~ (all_0_52_52 = all_0_58_58) % 23.82/6.20 | % 23.82/6.20 | Equations (597,413) can reduce 4692 to: % 23.82/6.20 | (298) $false % 23.82/6.20 | % 23.82/6.20 |-The branch is then unsatisfiable % 23.82/6.20 |-Branch two: % 23.82/6.20 | (4694) all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53) % 23.82/6.20 | % 23.82/6.20 | Applying alpha-rule on (4694) yields: % 23.82/6.20 | (4695) all_0_26_26 = e1 % 23.82/6.20 | (4696) ~ (all_0_25_25 = e4) % 23.82/6.20 | (4644) ~ (all_0_42_42 = all_0_53_53) % 23.82/6.20 | % 23.82/6.20 | Combining equations (5492,4695) yields a new equation: % 23.82/6.20 | (598) e4 = e1 % 23.82/6.20 | % 23.82/6.20 | Simplifying 598 yields: % 23.82/6.20 | (535) e4 = e1 % 23.82/6.20 | % 23.82/6.20 | Equations (535) can reduce 115 to: % 23.82/6.20 | (298) $false % 23.82/6.20 | % 23.82/6.20 |-The branch is then unsatisfiable % 23.82/6.20 |-Branch two: % 23.82/6.20 | (4701) all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54) % 23.82/6.20 | % 23.82/6.21 | Applying alpha-rule on (4701) yields: % 23.82/6.21 | (2280) all_0_28_28 = e1 % 23.82/6.21 | (4703) ~ (all_0_27_27 = e3) % 23.82/6.21 | (4666) ~ (all_0_47_47 = all_0_54_54) % 23.82/6.21 | % 23.82/6.21 | Equations (487,1669) can reduce 4666 to: % 23.82/6.21 | (298) $false % 23.82/6.21 | % 23.82/6.21 |-The branch is then unsatisfiable % 23.82/6.21 |-Branch two: % 23.82/6.21 | (4708) all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59) % 23.82/6.21 | % 23.82/6.21 | Applying alpha-rule on (4708) yields: % 23.82/6.21 | (4709) all_0_30_30 = e1 % 23.82/6.21 | (4710) ~ (all_0_29_29 = e0) % 23.82/6.21 | (4711) ~ (all_0_55_55 = all_0_59_59) % 23.82/6.21 | % 23.82/6.21 | Combining equations (4709,5834) yields a new equation: % 23.82/6.21 | (535) e4 = e1 % 23.82/6.21 | % 23.82/6.21 | Equations (535) can reduce 115 to: % 23.82/6.21 | (298) $false % 23.82/6.21 | % 23.82/6.21 |-The branch is then unsatisfiable % 23.82/6.21 |-Branch two: % 23.82/6.21 | (4713) all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56) % 23.82/6.21 | % 23.82/6.21 | Applying alpha-rule on (4713) yields: % 23.82/6.21 | (4714) all_0_32_32 = e0 % 23.82/6.21 | (4715) ~ (all_0_31_31 = e4) % 23.82/6.21 | (4649) ~ (all_0_43_43 = all_0_56_56) % 23.82/6.21 | % 23.82/6.21 | Equations (1253,653) can reduce 4649 to: % 23.82/6.21 | (298) $false % 23.82/6.21 | % 23.82/6.21 |-The branch is then unsatisfiable % 23.82/6.21 |-Branch two: % 23.82/6.21 | (4719) all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_48_48 = all_0_57_57) % 23.82/6.21 | % 23.82/6.21 | Applying alpha-rule on (4719) yields: % 23.82/6.21 | (4720) all_0_34_34 = e0 % 23.82/6.21 | (4721) ~ (all_0_33_33 = e3) % 23.82/6.21 | (4671) ~ (all_0_48_48 = all_0_57_57) % 23.82/6.21 | % 23.82/6.21 | Equations (491,902) can reduce 4671 to: % 23.82/6.21 | (298) $false % 23.82/6.21 | % 23.82/6.21 |-The branch is then unsatisfiable % 23.82/6.21 |-Branch two: % 23.82/6.21 | (4725) all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_52_52 = all_0_58_58) % 23.82/6.21 | % 23.82/6.21 | Applying alpha-rule on (4725) yields: % 23.82/6.21 | (4726) all_0_36_36 = e0 % 23.82/6.21 | (4727) ~ (all_0_35_35 = e2) % 23.82/6.21 | (4692) ~ (all_0_52_52 = all_0_58_58) % 23.82/6.21 | % 23.82/6.21 | Combining equations (430,4726) yields a new equation: % 23.82/6.21 | (296) e1 = e0 % 23.82/6.21 | % 23.82/6.21 | Simplifying 296 yields: % 23.82/6.21 | (297) e1 = e0 % 23.82/6.21 | % 23.82/6.21 | Equations (297) can reduce 231 to: % 23.82/6.21 | (298) $false % 23.82/6.21 | % 23.82/6.21 |-The branch is then unsatisfiable % 23.82/6.21 |-Branch two: % 23.82/6.21 | (4731) all_0_38_38 = e0 & ~ (all_0_37_37 = e1) & ~ (all_0_55_55 = all_0_59_59) % 23.82/6.21 | % 23.82/6.21 | Applying alpha-rule on (4731) yields: % 23.82/6.21 | (4732) all_0_38_38 = e0 % 23.82/6.21 | (4733) ~ (all_0_37_37 = e1) % 23.82/6.21 | (4711) ~ (all_0_55_55 = all_0_59_59) % 23.82/6.21 | % 23.82/6.21 | Equations (385,886) can reduce 4711 to: % 23.82/6.21 | (298) $false % 23.82/6.21 | % 23.82/6.21 |-The branch is then unsatisfiable % 23.82/6.21 |-Branch two: % 23.82/6.21 | (4738) all_0_58_58 = e1 & ~ (all_0_51_51 = e0) & ~ (all_0_59_59 = e2) % 23.82/6.21 | % 23.82/6.21 | Applying alpha-rule on (4738) yields: % 23.82/6.21 | (337) all_0_58_58 = e1 % 23.82/6.21 | (1871) ~ (all_0_51_51 = e0) % 23.82/6.21 | (963) ~ (all_0_59_59 = e2) % 23.82/6.21 | % 23.82/6.21 | Combining equations (337,413) yields a new equation: % 23.82/6.21 | (535) e4 = e1 % 23.82/6.21 | % 23.82/6.21 | Equations (535) can reduce 115 to: % 23.82/6.21 | (298) $false % 23.82/6.21 | % 23.82/6.21 |-The branch is then unsatisfiable % 23.82/6.21 |-Branch two: % 23.82/6.21 | (483) ~ (all_0_40_40 = e4) % 23.82/6.21 | (515) all_0_41_41 = e4 | all_0_43_43 = e4 % 23.82/6.21 | % 23.82/6.21 +-Applying beta-rule and splitting (226), into two cases. % 23.82/6.21 |-Branch one: % 23.82/6.21 | (506) all_0_49_49 = e4 % 23.82/6.21 | % 23.82/6.21 | Combining equations (457,506) yields a new equation: % 23.82/6.21 | (535) e4 = e1 % 23.82/6.21 | % 23.82/6.21 | Equations (535) can reduce 115 to: % 23.82/6.21 | (298) $false % 23.82/6.21 | % 23.82/6.21 |-The branch is then unsatisfiable % 23.82/6.21 |-Branch two: % 23.82/6.21 | (497) ~ (all_0_49_49 = e4) % 23.82/6.21 | (509) all_0_50_50 = e4 | all_0_52_52 = e4 % 23.82/6.21 | % 23.82/6.21 +-Applying beta-rule and splitting (509), into two cases. % 23.82/6.21 |-Branch one: % 23.82/6.21 | (523) all_0_50_50 = e4 % 23.82/6.21 | % 23.82/6.21 | Combining equations (838,523) yields a new equation: % 23.82/6.21 | (409) e4 = e2 % 23.82/6.21 | % 23.82/6.21 | Equations (409) can reduce 46 to: % 23.82/6.21 | (298) $false % 23.82/6.21 | % 23.82/6.21 |-The branch is then unsatisfiable % 23.82/6.21 |-Branch two: % 23.82/6.21 | (596) ~ (all_0_50_50 = e4) % 23.82/6.21 | (597) all_0_52_52 = e4 % 23.82/6.21 | % 23.82/6.21 | Equations (597) can reduce 2161 to: % 23.82/6.21 | (115) ~ (e4 = e1) % 23.82/6.21 | % 23.82/6.21 | Equations (597) can reduce 304 to: % 23.82/6.21 | (47) ~ (e4 = e0) % 23.82/6.21 | % 23.82/6.21 +-Applying beta-rule and splitting (515), into two cases. % 23.82/6.21 |-Branch one: % 23.82/6.21 | (603) all_0_41_41 = e4 % 23.82/6.21 | % 23.82/6.21 | Combining equations (253,603) yields a new equation: % 23.82/6.21 | (535) e4 = e1 % 23.82/6.21 | % 23.82/6.21 | Equations (535) can reduce 115 to: % 23.82/6.21 | (298) $false % 23.82/6.21 | % 23.82/6.21 |-The branch is then unsatisfiable % 23.82/6.21 |-Branch two: % 23.82/6.21 | (607) ~ (all_0_41_41 = e4) % 23.82/6.21 | (520) all_0_43_43 = e4 % 23.82/6.21 | % 23.82/6.21 | Combining equations (1253,520) yields a new equation: % 23.82/6.21 | (481) e4 = e0 % 23.82/6.21 | % 23.82/6.21 | Equations (481) can reduce 47 to: % 23.82/6.21 | (298) $false % 23.82/6.21 | % 23.82/6.21 |-The branch is then unsatisfiable % 23.82/6.21 |-Branch two: % 23.82/6.21 | (301) ~ (all_0_43_43 = e0) % 23.82/6.21 | (2731) all_0_48_48 = e0 | all_0_52_52 = e0 | all_0_60_60 = e0 % 23.82/6.21 | % 23.82/6.21 +-Applying beta-rule and splitting (746), into two cases. % 23.82/6.21 |-Branch one: % 23.82/6.21 | (466) all_0_42_42 = e0 % 23.82/6.21 | % 23.82/6.21 | Combining equations (469,466) yields a new equation: % 23.82/6.21 | (654) e3 = e0 % 23.82/6.21 | % 23.82/6.21 | Simplifying 654 yields: % 23.82/6.21 | (534) e3 = e0 % 23.82/6.21 | % 23.82/6.21 | Equations (534) can reduce 84 to: % 23.82/6.21 | (298) $false % 23.82/6.21 | % 23.82/6.21 |-The branch is then unsatisfiable % 23.82/6.21 |-Branch two: % 23.82/6.21 | (463) ~ (all_0_42_42 = e0) % 23.82/6.21 | (1253) all_0_43_43 = e0 % 23.82/6.21 | % 23.82/6.21 | Equations (1253) can reduce 301 to: % 23.82/6.21 | (298) $false % 23.82/6.21 | % 23.82/6.21 |-The branch is then unsatisfiable % 23.82/6.21 |-Branch two: % 23.82/6.21 | (398) ~ (all_0_50_50 = e2) % 23.82/6.21 | (1906) all_0_51_51 = e2 | all_0_52_52 = e2 % 23.82/6.21 | % 23.82/6.21 +-Applying beta-rule and splitting (133), into two cases. % 23.82/6.21 |-Branch one: % 23.82/6.21 | (326) all_0_52_52 = e1 % 23.82/6.21 | % 23.82/6.21 | Equations (326) can reduce 2161 to: % 23.82/6.21 | (298) $false % 23.82/6.21 | % 23.82/6.21 |-The branch is then unsatisfiable % 23.82/6.21 |-Branch two: % 23.82/6.21 | (2161) ~ (all_0_52_52 = e1) % 23.82/6.21 | (2880) all_0_52_52 = e4 | all_0_52_52 = e2 | all_0_52_52 = e0 % 23.82/6.21 | % 23.82/6.21 +-Applying beta-rule and splitting (2880), into two cases. % 23.82/6.21 |-Branch one: % 23.82/6.21 | (2078) all_0_52_52 = e0 % 23.82/6.21 | % 23.82/6.21 | Equations (2078) can reduce 304 to: % 23.82/6.21 | (298) $false % 23.82/6.21 | % 23.82/6.21 |-The branch is then unsatisfiable % 23.82/6.21 |-Branch two: % 23.82/6.21 | (304) ~ (all_0_52_52 = e0) % 23.82/6.21 | (2984) all_0_52_52 = e4 | all_0_52_52 = e2 % 23.82/6.21 | % 23.82/6.21 +-Applying beta-rule and splitting (2984), into two cases. % 23.82/6.21 |-Branch one: % 23.82/6.21 | (597) all_0_52_52 = e4 % 23.82/6.21 | % 23.82/6.21 +-Applying beta-rule and splitting (216), into two cases. % 23.82/6.21 |-Branch one: % 23.82/6.21 | (479) all_0_40_40 = e4 % 23.82/6.21 | % 23.82/6.21 | Equations (479) can reduce 246 to: % 23.82/6.21 | (46) ~ (e4 = e2) % 23.82/6.22 | % 23.82/6.22 +-Applying beta-rule and splitting (746), into two cases. % 23.82/6.22 |-Branch one: % 23.82/6.22 | (466) all_0_42_42 = e0 % 23.82/6.22 | % 23.82/6.22 | Combining equations (469,466) yields a new equation: % 23.82/6.22 | (654) e3 = e0 % 23.82/6.22 | % 23.82/6.22 | Simplifying 654 yields: % 23.82/6.22 | (534) e3 = e0 % 23.82/6.22 | % 23.82/6.22 | Equations (534) can reduce 84 to: % 23.82/6.22 | (298) $false % 23.82/6.22 | % 23.82/6.22 |-The branch is then unsatisfiable % 23.82/6.22 |-Branch two: % 23.82/6.22 | (463) ~ (all_0_42_42 = e0) % 23.82/6.22 | (1253) all_0_43_43 = e0 % 23.82/6.22 | % 23.82/6.22 | Equations (1253) can reduce 188 to: % 23.82/6.22 | (782) ~ (e2 = e0) % 23.82/6.22 | % 23.82/6.22 | Simplifying 782 yields: % 23.82/6.22 | (139) ~ (e2 = e0) % 23.82/6.22 | % 23.82/6.22 +-Applying beta-rule and splitting (248), into two cases. % 23.82/6.22 |-Branch one: % 23.82/6.22 | (948) all_0_45_45 = e2 % 23.82/6.22 | % 23.82/6.22 | Combining equations (295,948) yields a new equation: % 23.82/6.22 | (569) e2 = e0 % 23.82/6.22 | % 23.82/6.22 | Equations (569) can reduce 139 to: % 23.82/6.22 | (298) $false % 23.82/6.22 | % 23.82/6.22 |-The branch is then unsatisfiable % 23.82/6.22 |-Branch two: % 23.82/6.22 | (951) ~ (all_0_45_45 = e2) % 23.82/6.22 | (952) all_0_50_50 = e2 | all_0_54_54 = e2 | all_0_57_57 = e2 % 23.82/6.22 | % 23.82/6.22 | Equations (295) can reduce 951 to: % 23.82/6.22 | (782) ~ (e2 = e0) % 23.82/6.22 | % 23.82/6.22 | Simplifying 782 yields: % 23.82/6.22 | (139) ~ (e2 = e0) % 23.82/6.22 | % 23.82/6.22 +-Applying beta-rule and splitting (1906), into two cases. % 23.82/6.22 |-Branch one: % 23.82/6.22 | (396) all_0_51_51 = e2 % 23.82/6.22 | % 23.82/6.22 | Combining equations (1730,396) yields a new equation: % 23.82/6.22 | (569) e2 = e0 % 23.82/6.22 | % 23.82/6.22 | Equations (569) can reduce 139 to: % 23.82/6.22 | (298) $false % 23.82/6.22 | % 23.82/6.22 |-The branch is then unsatisfiable % 23.82/6.22 |-Branch two: % 23.82/6.22 | (885) ~ (all_0_51_51 = e2) % 23.82/6.22 | (938) all_0_52_52 = e2 % 23.82/6.22 | % 23.82/6.22 | Combining equations (597,938) yields a new equation: % 23.82/6.22 | (408) e4 = e2 % 23.82/6.22 | % 23.82/6.22 | Simplifying 408 yields: % 23.82/6.22 | (409) e4 = e2 % 23.82/6.22 | % 23.82/6.22 | Equations (409) can reduce 46 to: % 23.82/6.22 | (298) $false % 23.82/6.22 | % 23.82/6.22 |-The branch is then unsatisfiable % 23.82/6.22 |-Branch two: % 23.82/6.22 | (483) ~ (all_0_40_40 = e4) % 23.82/6.22 | (515) all_0_41_41 = e4 | all_0_43_43 = e4 % 23.82/6.22 | % 23.82/6.22 +-Applying beta-rule and splitting (754), into two cases. % 23.82/6.22 |-Branch one: % 23.82/6.22 | (755) all_0_40_40 = e3 % 23.82/6.22 | % 23.82/6.22 | Equations (755) can reduce 425 to: % 23.82/6.22 | (298) $false % 23.82/6.22 | % 23.82/6.22 |-The branch is then unsatisfiable % 23.82/6.22 |-Branch two: % 23.82/6.22 | (425) ~ (all_0_40_40 = e3) % 23.82/6.22 | (479) all_0_40_40 = e4 % 23.82/6.22 | % 23.82/6.22 | Equations (479) can reduce 483 to: % 23.82/6.22 | (298) $false % 23.82/6.22 | % 23.82/6.22 |-The branch is then unsatisfiable % 23.82/6.22 |-Branch two: % 23.82/6.22 | (695) ~ (all_0_52_52 = e4) % 23.82/6.22 | (938) all_0_52_52 = e2 % 23.82/6.22 | % 23.82/6.22 | Equations (938) can reduce 941 to: % 23.82/6.22 | (298) $false % 23.82/6.22 | % 23.82/6.22 |-The branch is then unsatisfiable % 23.82/6.22 |-Branch two: % 23.82/6.22 | (1871) ~ (all_0_51_51 = e0) % 23.82/6.22 | (396) all_0_51_51 = e2 % 23.82/6.22 | % 23.82/6.22 | Equations (396) can reduce 885 to: % 23.82/6.22 | (298) $false % 23.82/6.22 | % 23.82/6.22 |-The branch is then unsatisfiable % 23.82/6.22 |-Branch two: % 23.82/6.22 | (847) ~ (all_0_42_42 = e3) % 23.82/6.22 | (475) all_0_43_43 = e3 % 23.82/6.22 | % 23.82/6.22 | Equations (475) can reduce 471 to: % 23.82/6.22 | (298) $false % 23.82/6.22 | % 23.82/6.22 |-The branch is then unsatisfiable % 23.82/6.22 |-Branch two: % 23.82/6.22 | (711) ~ (all_0_48_48 = e3) % 23.82/6.22 | (724) all_0_48_48 = e4 | all_0_48_48 = e2 % 23.82/6.22 | % 23.82/6.22 +-Applying beta-rule and splitting (724), into two cases. % 23.82/6.22 |-Branch one: % 23.82/6.22 | (687) all_0_48_48 = e4 % 23.82/6.22 | % 23.82/6.22 | Equations (687) can reduce 690 to: % 23.82/6.22 | (298) $false % 23.82/6.22 | % 23.82/6.22 |-The branch is then unsatisfiable % 23.82/6.22 |-Branch two: % 23.82/6.22 | (690) ~ (all_0_48_48 = e4) % 23.82/6.22 | (743) all_0_48_48 = e2 % 23.82/6.22 | % 23.82/6.22 | Equations (743) can reduce 363 to: % 23.82/6.22 | (298) $false % 23.82/6.22 | % 23.82/6.22 |-The branch is then unsatisfiable % 23.82/6.22 |-Branch two: % 23.82/6.22 | (343) ~ (all_0_47_47 = e1) % 23.82/6.22 | (6059) all_0_51_51 = e1 | all_0_59_59 = e1 % 23.82/6.22 | % 23.82/6.22 +-Applying beta-rule and splitting (6059), into two cases. % 23.82/6.22 |-Branch one: % 23.82/6.22 | (1704) all_0_51_51 = e1 % 23.82/6.22 | % 23.82/6.22 | Equations (1704) can reduce 344 to: % 23.82/6.22 | (298) $false % 23.82/6.22 | % 23.82/6.22 |-The branch is then unsatisfiable % 23.82/6.22 |-Branch two: % 23.82/6.22 | (344) ~ (all_0_51_51 = e1) % 23.82/6.22 | (341) all_0_59_59 = e1 % 23.82/6.22 | % 23.82/6.22 | Equations (341) can reduce 2156 to: % 23.82/6.22 | (298) $false % 23.82/6.22 | % 23.82/6.22 |-The branch is then unsatisfiable % 23.82/6.22 |-Branch two: % 23.82/6.22 | (610) ~ (all_0_44_44 = e4) % 23.82/6.22 | (615) all_0_49_49 = e4 | all_0_56_56 = e4 % 23.82/6.22 | % 23.82/6.22 +-Applying beta-rule and splitting (615), into two cases. % 23.82/6.22 |-Branch one: % 23.82/6.22 | (506) all_0_49_49 = e4 % 23.82/6.22 | % 23.82/6.22 | Combining equations (457,506) yields a new equation: % 23.82/6.22 | (535) e4 = e1 % 23.82/6.22 | % 23.82/6.22 | Equations (535) can reduce 115 to: % 23.82/6.22 | (298) $false % 23.82/6.22 | % 23.82/6.22 |-The branch is then unsatisfiable % 23.82/6.22 |-Branch two: % 23.82/6.22 | (497) ~ (all_0_49_49 = e4) % 23.82/6.22 | (390) all_0_56_56 = e4 % 23.82/6.22 | % 23.82/6.22 | Combining equations (390,653) yields a new equation: % 23.82/6.22 | (480) e4 = e0 % 23.82/6.22 | % 23.82/6.22 | Simplifying 480 yields: % 23.82/6.22 | (481) e4 = e0 % 23.82/6.22 | % 23.82/6.22 | Equations (481) can reduce 47 to: % 23.82/6.22 | (298) $false % 23.82/6.22 | % 23.82/6.22 |-The branch is then unsatisfiable % 23.82/6.22 |-Branch two: % 23.82/6.22 | (329) ~ (all_0_49_49 = e1) % 23.82/6.22 | (460) all_0_49_49 = e4 | all_0_49_49 = e0 % 23.82/6.22 | % 23.82/6.22 +-Applying beta-rule and splitting (173), into two cases. % 23.82/6.22 |-Branch one: % 23.82/6.22 | (457) all_0_49_49 = e1 % 23.82/6.22 | % 23.82/6.22 | Equations (457) can reduce 329 to: % 23.82/6.22 | (298) $false % 23.82/6.22 | % 23.82/6.22 |-The branch is then unsatisfiable % 23.82/6.22 |-Branch two: % 23.82/6.22 | (329) ~ (all_0_49_49 = e1) % 23.82/6.22 | (3829) all_0_50_50 = e1 | all_0_51_51 = e1 | all_0_52_52 = e1 % 23.82/6.22 | % 23.82/6.22 +-Applying beta-rule and splitting (3829), into two cases. % 23.82/6.22 |-Branch one: % 23.82/6.22 | (771) all_0_50_50 = e1 % 23.82/6.22 | % 23.82/6.22 | Equations (771) can reduce 330 to: % 23.82/6.22 | (298) $false % 23.82/6.22 | % 23.82/6.22 |-The branch is then unsatisfiable % 23.82/6.22 |-Branch two: % 23.82/6.22 | (330) ~ (all_0_50_50 = e1) % 23.82/6.22 | (3841) all_0_51_51 = e1 | all_0_52_52 = e1 % 23.82/6.22 | % 23.82/6.22 +-Applying beta-rule and splitting (3841), into two cases. % 23.82/6.22 |-Branch one: % 23.82/6.22 | (1704) all_0_51_51 = e1 % 23.82/6.22 | % 23.82/6.22 | Equations (1704) can reduce 153 to: % 23.82/6.22 | (256) ~ (all_0_42_42 = e1) % 23.82/6.22 | % 23.82/6.22 | Equations (1704) can reduce 171 to: % 23.82/6.22 | (343) ~ (all_0_47_47 = e1) % 23.82/6.22 | % 23.82/6.22 | Equations (1704) can reduce 82 to: % 23.82/6.22 | (329) ~ (all_0_49_49 = e1) % 23.82/6.22 | % 23.82/6.22 | Equations (1704) can reduce 22 to: % 23.82/6.22 | (2229) ~ (all_0_52_52 = e1) % 23.82/6.22 | % 23.82/6.22 | Simplifying 2229 yields: % 23.82/6.22 | (2161) ~ (all_0_52_52 = e1) % 23.82/6.22 | % 23.82/6.22 | Equations (1704) can reduce 73 to: % 23.82/6.22 | (2217) ~ (all_0_59_59 = e1) % 23.82/6.22 | % 23.82/6.22 | Simplifying 2217 yields: % 23.82/6.22 | (2156) ~ (all_0_59_59 = e1) % 23.82/6.22 | % 23.82/6.22 | Equations (1704) can reduce 37 to: % 23.82/6.22 | (347) ~ (e4 = e1) % 23.82/6.22 | % 23.82/6.22 | Simplifying 347 yields: % 23.82/6.22 | (115) ~ (e4 = e1) % 23.82/6.22 | % 23.82/6.22 | Equations (1704) can reduce 241 to: % 23.82/6.22 | (333) ~ (e3 = e1) % 23.82/6.22 | % 23.82/6.22 | Simplifying 333 yields: % 23.82/6.22 | (214) ~ (e3 = e1) % 23.82/6.22 | % 23.82/6.22 | From (1704) and (149) follows: % 23.82/6.22 | (825) op(e2, e1) = e1 % 23.82/6.22 | % 23.82/6.22 +-Applying beta-rule and splitting (165), into two cases. % 23.82/6.22 |-Branch one: % 23.82/6.22 | (487) all_0_47_47 = e1 % 23.82/6.22 | % 23.82/6.22 | Equations (487) can reduce 343 to: % 23.82/6.22 | (298) $false % 23.82/6.22 | % 23.82/6.22 |-The branch is then unsatisfiable % 23.82/6.22 |-Branch two: % 23.82/6.22 | (343) ~ (all_0_47_47 = e1) % 23.82/6.22 | (490) all_0_47_47 = e3 | all_0_47_47 = e2 | all_0_47_47 = e0 % 23.82/6.22 | % 23.82/6.22 +-Applying beta-rule and splitting (490), into two cases. % 23.82/6.22 |-Branch one: % 23.82/6.22 | (525) all_0_47_47 = e0 % 23.82/6.22 | % 23.82/6.22 | Equations (525) can reduce 589 to: % 23.82/6.22 | (298) $false % 23.82/6.22 | % 23.82/6.22 |-The branch is then unsatisfiable % 23.82/6.22 |-Branch two: % 23.82/6.22 | (589) ~ (all_0_47_47 = e0) % 23.82/6.22 | (590) all_0_47_47 = e3 | all_0_47_47 = e2 % 23.82/6.22 | % 23.82/6.22 +-Applying beta-rule and splitting (32), into two cases. % 23.82/6.22 |-Branch one: % 23.82/6.22 | (368) all_0_47_47 = e2 % 23.82/6.22 | % 23.82/6.22 | Equations (368) can reduce 361 to: % 23.82/6.22 | (298) $false % 23.82/6.22 | % 23.82/6.22 |-The branch is then unsatisfiable % 23.82/6.22 |-Branch two: % 23.82/6.22 | (361) ~ (all_0_47_47 = e2) % 23.82/6.22 | (371) all_0_51_51 = e2 | all_0_59_59 = e2 % 23.82/6.22 | % 23.82/6.22 +-Applying beta-rule and splitting (103), into two cases. % 23.82/6.22 |-Branch one: % 23.82/6.22 | (838) all_0_50_50 = e2 % 23.82/6.22 | % 23.82/6.22 | Equations (838) can reduce 189 to: % 23.82/6.22 | (86) ~ (all_0_49_49 = e2) % 23.82/6.22 | % 23.82/6.22 +-Applying beta-rule and splitting (61), into two cases. % 23.82/6.22 |-Branch one: % 23.82/6.22 | (1299) all_0_44_44 = e1 % 23.82/6.22 | % 23.82/6.22 | Equations (1299) can reduce 98 to: % 23.82/6.22 | (6113) ~ (all_0_47_47 = e1) % 23.82/6.22 | % 23.82/6.22 | Simplifying 6113 yields: % 23.82/6.22 | (343) ~ (all_0_47_47 = e1) % 23.82/6.22 | % 23.82/6.22 | Equations (1299) can reduce 6 to: % 23.82/6.22 | (289) ~ (all_0_48_48 = e1) % 23.82/6.22 | % 23.82/6.22 | Simplifying 289 yields: % 23.82/6.22 | (290) ~ (all_0_48_48 = e1) % 23.82/6.22 | % 23.82/6.22 | Equations (1299) can reduce 107 to: % 23.82/6.22 | (263) ~ (e2 = e1) % 23.82/6.22 | % 23.82/6.22 | Simplifying 263 yields: % 23.82/6.22 | (134) ~ (e2 = e1) % 23.82/6.22 | % 23.82/6.22 | Equations (1299) can reduce 503 to: % 23.82/6.22 | (231) ~ (e1 = e0) % 23.82/6.22 | % 23.82/6.22 | From (1299) and (116) follows: % 23.82/6.22 | (6120) op(e1, e4) = all_0_9_9 % 23.82/6.22 | % 23.82/6.22 +-Applying beta-rule and splitting (129), into two cases. % 23.82/6.22 |-Branch one: % 23.82/6.22 | (637) all_0_49_49 = e0 % 23.82/6.22 | % 23.82/6.22 | Equations (637) can reduce 652 to: % 23.82/6.22 | (298) $false % 23.82/6.22 | % 23.82/6.22 |-The branch is then unsatisfiable % 23.82/6.22 |-Branch two: % 23.82/6.22 | (652) ~ (all_0_49_49 = e0) % 23.82/6.22 | (682) all_0_50_50 = e0 | all_0_51_51 = e0 | all_0_52_52 = e0 % 23.82/6.22 | % 23.82/6.22 +-Applying beta-rule and splitting (89), into two cases. % 23.82/6.22 |-Branch one: % 23.82/6.22 | (495) all_0_44_44 = e4 % 23.82/6.22 | % 23.82/6.22 | Combining equations (1299,495) yields a new equation: % 23.82/6.22 | (535) e4 = e1 % 23.82/6.22 | % 23.82/6.22 | Equations (535) can reduce 115 to: % 23.82/6.22 | (298) $false % 23.82/6.22 | % 23.82/6.22 |-The branch is then unsatisfiable % 23.82/6.22 |-Branch two: % 23.82/6.22 | (610) ~ (all_0_44_44 = e4) % 23.82/6.22 | (611) all_0_45_45 = e4 | all_0_46_46 = e4 | all_0_48_48 = e4 % 23.82/6.22 | % 23.82/6.22 +-Applying beta-rule and splitting (101), into two cases. % 23.82/6.22 |-Branch one: % 23.82/6.22 | (466) all_0_42_42 = e0 % 23.82/6.22 | % 23.82/6.22 | Equations (466) can reduce 204 to: % 23.82/6.22 | (745) ~ (all_0_40_40 = e0) % 23.82/6.22 | % 23.82/6.22 | Equations (466) can reduce 20 to: % 23.82/6.22 | (464) ~ (all_0_43_43 = e0) % 23.82/6.22 | % 23.82/6.22 | Simplifying 464 yields: % 23.82/6.22 | (301) ~ (all_0_43_43 = e0) % 23.82/6.22 | % 23.82/6.22 | Equations (466) can reduce 242 to: % 23.82/6.22 | (769) ~ (all_0_47_47 = e0) % 23.82/6.22 | % 23.82/6.22 | Simplifying 769 yields: % 23.82/6.22 | (589) ~ (all_0_47_47 = e0) % 23.82/6.22 | % 23.82/6.22 | Equations (466) can reduce 247 to: % 23.82/6.22 | (485) ~ (e4 = e0) % 23.82/6.22 | % 23.82/6.22 | Simplifying 485 yields: % 23.82/6.22 | (47) ~ (e4 = e0) % 23.82/6.22 | % 23.82/6.22 | Equations (466) can reduce 256 to: % 23.82/6.22 | (526) ~ (e1 = e0) % 23.82/6.22 | % 23.82/6.22 | Simplifying 526 yields: % 23.82/6.22 | (231) ~ (e1 = e0) % 23.82/6.22 | % 23.82/6.22 | From (466) and (19) follows: % 23.82/6.22 | (4791) op(e0, e4) = all_0_4_4 % 23.82/6.22 | % 23.82/6.22 | From (466) and (80) follows: % 23.82/6.22 | (5129) op(e0, e1) = all_0_5_5 % 23.82/6.22 | % 23.82/6.23 +-Applying beta-rule and splitting (611), into two cases. % 23.82/6.23 |-Branch one: % 23.82/6.23 | (1221) all_0_45_45 = e4 % 23.82/6.23 | % 23.82/6.23 | Combining equations (295,1221) yields a new equation: % 23.82/6.23 | (481) e4 = e0 % 23.82/6.23 | % 23.82/6.23 | Equations (481) can reduce 47 to: % 23.82/6.23 | (298) $false % 23.82/6.23 | % 23.82/6.23 |-The branch is then unsatisfiable % 23.82/6.23 |-Branch two: % 23.82/6.23 | (1224) ~ (all_0_45_45 = e4) % 23.82/6.23 | (2314) all_0_46_46 = e4 | all_0_48_48 = e4 % 23.82/6.23 | % 23.82/6.23 +-Applying beta-rule and splitting (460), into two cases. % 23.82/6.23 |-Branch one: % 23.82/6.23 | (637) all_0_49_49 = e0 % 23.82/6.23 | % 23.82/6.23 | Equations (637) can reduce 652 to: % 23.82/6.23 | (298) $false % 23.82/6.23 | % 23.82/6.23 |-The branch is then unsatisfiable % 23.82/6.23 |-Branch two: % 23.82/6.23 | (652) ~ (all_0_49_49 = e0) % 23.82/6.23 | (506) all_0_49_49 = e4 % 23.82/6.23 | % 23.82/6.23 | Equations (506) can reduce 86 to: % 23.82/6.23 | (46) ~ (e4 = e2) % 23.82/6.23 | % 23.82/6.23 | From (506) and (159) follows: % 23.82/6.23 | (1726) op(e4, e2) = all_0_17_17 % 23.82/6.23 | % 23.82/6.23 +-Applying beta-rule and splitting (133), into two cases. % 23.82/6.23 |-Branch one: % 23.82/6.23 | (326) all_0_52_52 = e1 % 23.82/6.23 | % 23.82/6.23 | Equations (326) can reduce 2161 to: % 23.82/6.23 | (298) $false % 23.82/6.23 | % 23.82/6.23 |-The branch is then unsatisfiable % 23.82/6.23 |-Branch two: % 23.82/6.23 | (2161) ~ (all_0_52_52 = e1) % 23.82/6.23 | (2880) all_0_52_52 = e4 | all_0_52_52 = e2 | all_0_52_52 = e0 % 23.82/6.23 | % 23.82/6.23 +-Applying beta-rule and splitting (2314), into two cases. % 23.82/6.23 |-Branch one: % 23.82/6.23 | (933) all_0_46_46 = e4 % 23.82/6.23 | % 23.82/6.23 | Combining equations (358,933) yields a new equation: % 23.82/6.23 | (409) e4 = e2 % 23.82/6.23 | % 23.82/6.23 | Equations (409) can reduce 46 to: % 23.82/6.23 | (298) $false % 23.82/6.23 | % 23.82/6.23 |-The branch is then unsatisfiable % 23.82/6.23 |-Branch two: % 23.82/6.23 | (936) ~ (all_0_46_46 = e4) % 23.82/6.23 | (687) all_0_48_48 = e4 % 23.82/6.23 | % 23.82/6.23 | Equations (687) can reduce 16 to: % 23.82/6.23 | (601) ~ (all_0_43_43 = e4) % 23.82/6.23 | % 23.82/6.23 | Equations (687) can reduce 290 to: % 23.82/6.23 | (115) ~ (e4 = e1) % 23.82/6.23 | % 23.82/6.23 | From (687) and (91) follows: % 23.82/6.23 | (6164) op(e4, e0) = all_0_16_16 % 23.82/6.23 | % 23.82/6.23 +-Applying beta-rule and splitting (590), into two cases. % 23.82/6.23 |-Branch one: % 23.82/6.23 | (591) all_0_47_47 = e3 % 23.82/6.23 | % 23.82/6.23 | Equations (591) can reduce 119 to: % 23.82/6.23 | (2351) ~ (all_0_59_59 = e3) % 23.82/6.23 | % 23.82/6.23 | Simplifying 2351 yields: % 23.82/6.23 | (910) ~ (all_0_59_59 = e3) % 23.82/6.23 | % 23.82/6.23 | Equations (591) can reduce 343 to: % 23.82/6.23 | (214) ~ (e3 = e1) % 23.82/6.23 | % 23.82/6.23 | Equations (591) can reduce 589 to: % 23.82/6.23 | (84) ~ (e3 = e0) % 23.82/6.23 | % 23.82/6.23 | From (591) and (235) follows: % 23.82/6.23 | (6170) op(e3, e1) = all_0_14_14 % 23.82/6.23 | % 23.82/6.23 | From (591) and (158) follows: % 23.82/6.23 | (531) op(e3, e1) = e3 % 23.82/6.23 | % 23.82/6.23 +-Applying beta-rule and splitting (96), into two cases. % 23.82/6.23 |-Branch one: % 23.82/6.23 | (376) all_0_56_56 = e3 % 23.82/6.23 | % 23.82/6.23 | Combining equations (653,376) yields a new equation: % 23.82/6.23 | (534) e3 = e0 % 23.82/6.23 | % 23.82/6.23 | Equations (534) can reduce 84 to: % 23.82/6.23 | (298) $false % 23.82/6.23 | % 23.82/6.23 |-The branch is then unsatisfiable % 23.82/6.23 |-Branch two: % 23.82/6.23 | (890) ~ (all_0_56_56 = e3) % 23.82/6.23 | (891) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 23.82/6.23 | % 23.82/6.23 +-Applying beta-rule and splitting (891), into two cases. % 23.82/6.23 |-Branch one: % 23.82/6.23 | (902) all_0_57_57 = e3 % 23.82/6.23 | % 23.82/6.23 | Equations (902) can reduce 64 to: % 23.82/6.23 | (425) ~ (all_0_40_40 = e3) % 23.82/6.23 | % 23.82/6.23 | Equations (902) can reduce 307 to: % 23.82/6.23 | (84) ~ (e3 = e0) % 23.82/6.23 | % 23.82/6.23 | From (902) and (150) follows: % 23.82/6.23 | (1389) op(e0, e3) = e3 % 23.82/6.23 | % 23.82/6.23 +-Applying beta-rule and splitting (216), into two cases. % 23.82/6.23 |-Branch one: % 23.82/6.23 | (479) all_0_40_40 = e4 % 23.82/6.23 | % 23.82/6.23 | Equations (479) can reduce 425 to: % 23.82/6.23 | (184) ~ (e4 = e3) % 23.82/6.23 | % 23.82/6.23 | Equations (479) can reduce 745 to: % 23.82/6.23 | (47) ~ (e4 = e0) % 23.82/6.23 | % 23.82/6.23 +-Applying beta-rule and splitting (23), into two cases. % 23.82/6.23 |-Branch one: % 23.82/6.23 | (755) all_0_40_40 = e3 % 23.82/6.23 | % 23.82/6.23 | Combining equations (479,755) yields a new equation: % 23.82/6.23 | (391) e4 = e3 % 23.82/6.23 | % 23.82/6.23 | Simplifying 391 yields: % 23.82/6.23 | (392) e4 = e3 % 23.82/6.23 | % 23.82/6.23 | Equations (392) can reduce 184 to: % 23.82/6.23 | (298) $false % 23.82/6.23 | % 23.82/6.23 |-The branch is then unsatisfiable % 23.82/6.23 |-Branch two: % 23.82/6.23 | (425) ~ (all_0_40_40 = e3) % 23.82/6.23 | (1257) all_0_42_42 = e3 | all_0_43_43 = e3 % 23.82/6.23 | % 23.82/6.23 +-Applying beta-rule and splitting (1257), into two cases. % 23.82/6.23 |-Branch one: % 23.82/6.23 | (469) all_0_42_42 = e3 % 23.82/6.23 | % 23.82/6.23 | Combining equations (466,469) yields a new equation: % 23.82/6.23 | (534) e3 = e0 % 23.82/6.23 | % 23.82/6.23 | Equations (534) can reduce 84 to: % 23.82/6.23 | (298) $false % 23.82/6.23 | % 23.82/6.23 |-The branch is then unsatisfiable % 23.82/6.23 |-Branch two: % 23.82/6.23 | (847) ~ (all_0_42_42 = e3) % 23.82/6.23 | (475) all_0_43_43 = e3 % 23.82/6.23 | % 23.82/6.23 | Equations (475) can reduce 301 to: % 23.82/6.23 | (84) ~ (e3 = e0) % 23.82/6.23 | % 23.82/6.23 | From (475) and (34) follows: % 23.82/6.23 | (3509) op(e4, e0) = e3 % 23.82/6.23 | % 23.82/6.23 +-Applying beta-rule and splitting (12), into two cases. % 23.82/6.23 |-Branch one: % 23.82/6.23 | (1253) all_0_43_43 = e0 % 23.82/6.23 | % 23.82/6.23 | Combining equations (475,1253) yields a new equation: % 23.82/6.23 | (654) e3 = e0 % 23.82/6.23 | % 23.82/6.23 | Simplifying 654 yields: % 23.82/6.23 | (534) e3 = e0 % 23.82/6.23 | % 23.82/6.23 | Equations (534) can reduce 84 to: % 23.82/6.23 | (298) $false % 23.82/6.23 | % 23.82/6.23 |-The branch is then unsatisfiable % 23.82/6.23 |-Branch two: % 23.82/6.23 | (301) ~ (all_0_43_43 = e0) % 23.82/6.23 | (2731) all_0_48_48 = e0 | all_0_52_52 = e0 | all_0_60_60 = e0 % 23.82/6.23 | % 23.82/6.23 +-Applying beta-rule and splitting (371), into two cases. % 23.82/6.23 |-Branch one: % 23.82/6.23 | (396) all_0_51_51 = e2 % 23.82/6.23 | % 23.82/6.23 | Combining equations (1704,396) yields a new equation: % 23.82/6.23 | (544) e2 = e1 % 23.82/6.23 | % 23.82/6.23 | Equations (544) can reduce 134 to: % 23.82/6.23 | (298) $false % 23.82/6.23 | % 23.82/6.23 |-The branch is then unsatisfiable % 23.82/6.23 |-Branch two: % 23.82/6.23 | (885) ~ (all_0_51_51 = e2) % 23.82/6.23 | (886) all_0_59_59 = e2 % 23.82/6.23 | % 23.82/6.23 | From (886) and (121) follows: % 23.82/6.23 | (3815) op(e2, e1) = all_0_38_38 % 23.82/6.23 | % 23.82/6.23 | From (886) and (114) follows: % 23.82/6.23 | (6209) op(e0, e1) = e2 % 23.82/6.23 | % 23.82/6.23 +-Applying beta-rule and splitting (2731), into two cases. % 23.82/6.23 |-Branch one: % 23.82/6.23 | (717) all_0_48_48 = e0 % 23.82/6.23 | % 23.82/6.23 | Combining equations (687,717) yields a new equation: % 23.82/6.23 | (480) e4 = e0 % 23.82/6.23 | % 23.82/6.23 | Simplifying 480 yields: % 23.82/6.23 | (481) e4 = e0 % 23.82/6.23 | % 23.82/6.23 | Equations (481) can reduce 47 to: % 23.82/6.23 | (298) $false % 23.82/6.23 | % 23.82/6.23 |-The branch is then unsatisfiable % 23.82/6.23 |-Branch two: % 23.82/6.23 | (303) ~ (all_0_48_48 = e0) % 23.82/6.23 | (2886) all_0_52_52 = e0 | all_0_60_60 = e0 % 23.82/6.23 | % 23.82/6.23 +-Applying beta-rule and splitting (2886), into two cases. % 23.82/6.23 |-Branch one: % 23.82/6.23 | (2078) all_0_52_52 = e0 % 23.82/6.23 | % 23.82/6.23 | Equations (2078) can reduce 2161 to: % 23.82/6.23 | (526) ~ (e1 = e0) % 23.82/6.23 | % 23.82/6.23 | Simplifying 526 yields: % 23.82/6.23 | (231) ~ (e1 = e0) % 23.82/6.23 | % 23.82/6.23 | From (2078) and (49) follows: % 23.82/6.23 | (5588) op(e0, e2) = all_0_23_23 % 23.82/6.23 | % 23.82/6.23 | Instantiating formula (206) with e4, e2, all_0_17_17, e1 and discharging atoms op(e4, e2) = all_0_17_17, op(e4, e2) = e1, yields: % 23.82/6.23 | (1754) all_0_17_17 = e1 % 23.82/6.23 | % 23.82/6.23 | Instantiating formula (206) with e4, e0, e3, all_0_16_16 and discharging atoms op(e4, e0) = all_0_16_16, op(e4, e0) = e3, yields: % 23.82/6.23 | (4669) all_0_16_16 = e3 % 23.82/6.23 | % 23.82/6.23 | Instantiating formula (206) with e3, e1, e3, all_0_14_14 and discharging atoms op(e3, e1) = all_0_14_14, op(e3, e1) = e3, yields: % 23.82/6.23 | (4664) all_0_14_14 = e3 % 23.82/6.23 | % 23.82/6.23 | Instantiating formula (206) with e2, e1, e1, all_0_38_38 and discharging atoms op(e2, e1) = all_0_38_38, op(e2, e1) = e1, yields: % 23.82/6.23 | (3857) all_0_38_38 = e1 % 23.82/6.23 | % 23.82/6.23 | Instantiating formula (206) with e1, e4, all_0_9_9, e3 and discharging atoms op(e1, e4) = all_0_9_9, op(e1, e4) = e3, yields: % 23.82/6.23 | (2277) all_0_9_9 = e3 % 23.82/6.23 | % 23.82/6.23 | Instantiating formula (206) with e0, e4, all_0_4_4, e0 and discharging atoms op(e0, e4) = all_0_4_4, op(e0, e4) = e0, yields: % 23.82/6.23 | (5629) all_0_4_4 = e0 % 23.82/6.23 | % 23.82/6.23 | Instantiating formula (206) with e0, e2, all_0_23_23, e4 and discharging atoms op(e0, e2) = all_0_23_23, op(e0, e2) = e4, yields: % 23.82/6.23 | (5630) all_0_23_23 = e4 % 23.82/6.23 | % 23.82/6.23 | Instantiating formula (206) with e0, e1, e2, all_0_5_5 and discharging atoms op(e0, e1) = all_0_5_5, op(e0, e1) = e2, yields: % 23.82/6.23 | (1757) all_0_5_5 = e2 % 23.82/6.23 | % 23.82/6.23 | From (1754) and (1726) follows: % 23.82/6.23 | (268) op(e4, e2) = e1 % 23.82/6.23 | % 23.82/6.23 | From (4669) and (6164) follows: % 23.82/6.23 | (3509) op(e4, e0) = e3 % 23.82/6.23 | % 23.82/6.23 | From (4664) and (6170) follows: % 23.82/6.23 | (531) op(e3, e1) = e3 % 23.82/6.23 | % 23.82/6.23 | From (3857) and (3815) follows: % 23.82/6.23 | (825) op(e2, e1) = e1 % 23.82/6.23 | % 23.82/6.23 | From (2277) and (6120) follows: % 23.82/6.23 | (3711) op(e1, e4) = e3 % 23.82/6.23 | % 23.82/6.23 | From (5629) and (4791) follows: % 23.82/6.24 | (812) op(e0, e4) = e0 % 23.82/6.24 | % 23.82/6.24 | From (5630) and (5588) follows: % 23.82/6.24 | (418) op(e0, e2) = e4 % 23.82/6.24 | % 23.82/6.24 | From (1757) and (5129) follows: % 23.82/6.24 | (6209) op(e0, e1) = e2 % 23.82/6.24 | % 23.82/6.24 +-Applying beta-rule and splitting (55), into two cases. % 23.82/6.24 |-Branch one: % 23.82/6.24 | (529) unit = e1 % 23.82/6.24 | % 23.82/6.24 | From (529) and (66) follows: % 23.82/6.24 | (406) op(e2, e1) = e2 % 23.82/6.24 | % 23.82/6.24 | From (529) and (67) follows: % 23.82/6.24 | (2913) op(e0, e1) = e0 % 23.82/6.24 | % 23.82/6.24 | Instantiating formula (206) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 23.82/6.24 | (544) e2 = e1 % 23.82/6.24 | % 23.82/6.24 | Instantiating formula (206) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 23.82/6.24 | (569) e2 = e0 % 23.82/6.24 | % 23.82/6.24 | Combining equations (569,544) yields a new equation: % 23.82/6.24 | (297) e1 = e0 % 23.82/6.24 | % 23.82/6.24 | Equations (297) can reduce 231 to: % 23.82/6.24 | (298) $false % 23.82/6.24 | % 23.82/6.24 |-The branch is then unsatisfiable % 23.82/6.24 |-Branch two: % 23.82/6.24 | (540) ~ (unit = e1) % 23.82/6.24 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 23.82/6.24 | % 23.82/6.24 +-Applying beta-rule and splitting (541), into two cases. % 23.82/6.24 |-Branch one: % 23.82/6.24 | (542) unit = e0 % 23.82/6.24 | % 23.82/6.24 | Equations (542) can reduce 540 to: % 23.82/6.24 | (526) ~ (e1 = e0) % 23.82/6.24 | % 23.82/6.24 | Simplifying 526 yields: % 23.82/6.24 | (231) ~ (e1 = e0) % 23.82/6.24 | % 23.82/6.24 | From (542) and (162) follows: % 23.82/6.24 | (1387) op(e0, e4) = e4 % 23.82/6.24 | % 23.82/6.24 | From (542) and (24) follows: % 23.82/6.24 | (981) op(e0, e2) = e2 % 23.82/6.24 | % 23.82/6.24 | From (542) and (100) follows: % 23.82/6.24 | (2926) op(e0, e1) = e1 % 23.82/6.24 | % 23.82/6.24 | Instantiating formula (206) with e0, e4, e4, e0 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e0, yields: % 23.82/6.24 | (481) e4 = e0 % 23.82/6.24 | % 23.82/6.24 | Instantiating formula (206) with e0, e2, e2, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e2, yields: % 23.82/6.24 | (409) e4 = e2 % 23.82/6.24 | % 23.82/6.24 | Instantiating formula (206) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields: % 23.82/6.24 | (544) e2 = e1 % 23.82/6.24 | % 23.82/6.24 | Combining equations (409,481) yields a new equation: % 23.82/6.24 | (568) e2 = e0 % 23.82/6.24 | % 23.82/6.24 | Simplifying 568 yields: % 23.82/6.24 | (569) e2 = e0 % 23.82/6.24 | % 23.82/6.24 | Combining equations (544,569) yields a new equation: % 23.82/6.24 | (296) e1 = e0 % 23.82/6.24 | % 23.82/6.24 | Simplifying 296 yields: % 23.82/6.24 | (297) e1 = e0 % 23.82/6.24 | % 23.82/6.24 | Equations (297) can reduce 231 to: % 23.82/6.24 | (298) $false % 23.82/6.24 | % 23.82/6.24 |-The branch is then unsatisfiable % 23.82/6.24 |-Branch two: % 23.82/6.24 | (546) ~ (unit = e0) % 23.82/6.24 | (547) unit = e4 | unit = e3 | unit = e2 % 23.82/6.24 | % 23.82/6.24 +-Applying beta-rule and splitting (547), into two cases. % 23.82/6.24 |-Branch one: % 23.82/6.24 | (548) unit = e3 % 23.82/6.24 | % 23.82/6.24 | From (548) and (100) follows: % 23.82/6.24 | (1796) op(e3, e1) = e1 % 23.82/6.24 | % 23.82/6.24 | From (548) and (67) follows: % 23.82/6.24 | (803) op(e0, e3) = e0 % 23.82/6.24 | % 23.82/6.24 | Instantiating formula (206) with e3, e1, e1, e3 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e1, yields: % 23.82/6.24 | (420) e3 = e1 % 23.82/6.24 | % 23.82/6.24 | Instantiating formula (206) with e0, e3, e0, e3 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields: % 23.82/6.24 | (534) e3 = e0 % 23.82/6.24 | % 23.82/6.24 | Combining equations (534,420) yields a new equation: % 23.82/6.24 | (297) e1 = e0 % 23.82/6.24 | % 23.82/6.24 | Equations (297) can reduce 231 to: % 23.82/6.24 | (298) $false % 23.82/6.24 | % 23.82/6.24 |-The branch is then unsatisfiable % 23.82/6.24 |-Branch two: % 23.82/6.24 | (555) ~ (unit = e3) % 23.82/6.24 | (556) unit = e4 | unit = e2 % 23.82/6.24 | % 23.82/6.24 +-Applying beta-rule and splitting (556), into two cases. % 23.82/6.24 |-Branch one: % 23.82/6.24 | (557) unit = e4 % 23.82/6.24 | % 23.82/6.24 | From (557) and (60) follows: % 23.82/6.24 | (559) op(e4, e0) = e0 % 23.82/6.24 | % 23.82/6.24 | From (557) and (221) follows: % 23.82/6.24 | (3962) op(e1, e4) = e1 % 23.82/6.24 | % 23.82/6.24 | Instantiating formula (206) with e4, e0, e0, e3 and discharging atoms op(e4, e0) = e3, op(e4, e0) = e0, yields: % 23.82/6.24 | (534) e3 = e0 % 23.82/6.24 | % 23.82/6.24 | Instantiating formula (206) with e1, e4, e1, e3 and discharging atoms op(e1, e4) = e3, op(e1, e4) = e1, yields: % 23.82/6.24 | (420) e3 = e1 % 23.82/6.24 | % 23.82/6.24 | Combining equations (534,420) yields a new equation: % 23.82/6.24 | (297) e1 = e0 % 23.82/6.24 | % 23.82/6.24 | Equations (297) can reduce 231 to: % 23.82/6.24 | (298) $false % 23.82/6.24 | % 23.82/6.24 |-The branch is then unsatisfiable % 23.82/6.24 |-Branch two: % 23.82/6.24 | (573) ~ (unit = e4) % 23.82/6.24 | (574) unit = e2 % 23.82/6.24 | % 23.82/6.24 | From (574) and (243) follows: % 23.82/6.24 | (576) op(e4, e2) = e4 % 23.82/6.24 | % 23.82/6.24 | From (574) and (67) follows: % 23.82/6.24 | (578) op(e0, e2) = e0 % 23.82/6.24 | % 23.82/6.24 | Instantiating formula (206) with e4, e2, e4, e1 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e1, yields: % 23.82/6.24 | (535) e4 = e1 % 23.82/6.24 | % 23.82/6.24 | Instantiating formula (206) with e0, e2, e0, e4 and discharging atoms op(e0, e2) = e4, op(e0, e2) = e0, yields: % 23.82/6.24 | (481) e4 = e0 % 23.82/6.24 | % 23.82/6.24 | Combining equations (535,481) yields a new equation: % 23.82/6.24 | (296) e1 = e0 % 23.82/6.24 | % 23.82/6.24 | Simplifying 296 yields: % 23.82/6.24 | (297) e1 = e0 % 23.82/6.24 | % 23.82/6.24 | Equations (297) can reduce 231 to: % 23.82/6.24 | (298) $false % 23.82/6.24 | % 23.82/6.24 |-The branch is then unsatisfiable % 23.82/6.24 |-Branch two: % 23.82/6.24 | (304) ~ (all_0_52_52 = e0) % 23.82/6.24 | (300) all_0_60_60 = e0 % 23.82/6.24 | % 23.82/6.24 | Combining equations (2157,300) yields a new equation: % 23.82/6.24 | (296) e1 = e0 % 23.82/6.24 | % 23.82/6.24 | Simplifying 296 yields: % 23.82/6.24 | (297) e1 = e0 % 23.82/6.24 | % 23.82/6.24 | Equations (297) can reduce 231 to: % 23.82/6.24 | (298) $false % 23.82/6.24 | % 23.82/6.24 |-The branch is then unsatisfiable % 23.82/6.24 |-Branch two: % 23.82/6.24 | (483) ~ (all_0_40_40 = e4) % 23.82/6.24 | (515) all_0_41_41 = e4 | all_0_43_43 = e4 % 23.82/6.24 | % 23.82/6.24 +-Applying beta-rule and splitting (515), into two cases. % 23.82/6.24 |-Branch one: % 23.82/6.24 | (603) all_0_41_41 = e4 % 23.82/6.24 | % 23.82/6.24 | Combining equations (253,603) yields a new equation: % 23.82/6.24 | (535) e4 = e1 % 23.82/6.24 | % 23.82/6.24 | Equations (535) can reduce 115 to: % 23.82/6.24 | (298) $false % 23.82/6.24 | % 23.82/6.24 |-The branch is then unsatisfiable % 23.82/6.24 |-Branch two: % 23.82/6.24 | (607) ~ (all_0_41_41 = e4) % 23.82/6.24 | (520) all_0_43_43 = e4 % 23.82/6.24 | % 23.82/6.24 | Equations (520) can reduce 601 to: % 23.82/6.24 | (298) $false % 23.82/6.24 | % 23.82/6.24 |-The branch is then unsatisfiable % 23.82/6.24 |-Branch two: % 23.82/6.24 | (905) ~ (all_0_57_57 = e3) % 23.82/6.24 | (906) all_0_59_59 = e3 | all_0_60_60 = e3 % 23.82/6.24 | % 23.82/6.24 +-Applying beta-rule and splitting (906), into two cases. % 23.82/6.24 |-Branch one: % 23.82/6.24 | (907) all_0_59_59 = e3 % 23.82/6.24 | % 23.82/6.24 | Equations (907) can reduce 910 to: % 23.82/6.24 | (298) $false % 23.82/6.24 | % 23.82/6.24 |-The branch is then unsatisfiable % 23.82/6.24 |-Branch two: % 23.82/6.24 | (910) ~ (all_0_59_59 = e3) % 23.82/6.24 | (911) all_0_60_60 = e3 % 23.82/6.24 | % 23.82/6.24 | Combining equations (911,2157) yields a new equation: % 23.82/6.24 | (1084) e3 = e1 % 23.82/6.24 | % 23.82/6.24 | Simplifying 1084 yields: % 23.82/6.24 | (420) e3 = e1 % 23.82/6.24 | % 23.82/6.24 | Equations (420) can reduce 214 to: % 23.82/6.24 | (298) $false % 23.82/6.24 | % 23.82/6.24 |-The branch is then unsatisfiable % 23.82/6.24 |-Branch two: % 23.82/6.24 | (493) ~ (all_0_47_47 = e3) % 23.82/6.24 | (368) all_0_47_47 = e2 % 23.82/6.24 | % 23.82/6.24 | Equations (368) can reduce 361 to: % 23.82/6.24 | (298) $false % 23.82/6.24 | % 23.82/6.24 |-The branch is then unsatisfiable % 23.82/6.24 |-Branch two: % 23.82/6.24 | (463) ~ (all_0_42_42 = e0) % 23.82/6.24 | (841) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_59_59 = e0 % 23.82/6.24 | % 23.82/6.24 +-Applying beta-rule and splitting (841), into two cases. % 23.82/6.24 |-Branch one: % 23.82/6.24 | (525) all_0_47_47 = e0 % 23.82/6.24 | % 23.82/6.24 | Equations (525) can reduce 589 to: % 23.82/6.24 | (298) $false % 23.82/6.24 | % 23.82/6.24 |-The branch is then unsatisfiable % 23.82/6.24 |-Branch two: % 23.82/6.24 | (589) ~ (all_0_47_47 = e0) % 23.82/6.24 | (2624) all_0_51_51 = e0 | all_0_59_59 = e0 % 23.82/6.24 | % 23.82/6.24 +-Applying beta-rule and splitting (2624), into two cases. % 23.82/6.24 |-Branch one: % 23.82/6.24 | (1730) all_0_51_51 = e0 % 23.82/6.24 | % 23.82/6.24 | Combining equations (1704,1730) yields a new equation: % 23.82/6.24 | (296) e1 = e0 % 23.82/6.24 | % 23.82/6.24 | Simplifying 296 yields: % 23.82/6.24 | (297) e1 = e0 % 23.82/6.24 | % 23.82/6.24 | Equations (297) can reduce 231 to: % 23.82/6.24 | (298) $false % 23.82/6.24 | % 23.82/6.24 |-The branch is then unsatisfiable % 23.82/6.24 |-Branch two: % 23.82/6.24 | (1871) ~ (all_0_51_51 = e0) % 23.82/6.24 | (2627) all_0_59_59 = e0 % 23.82/6.24 | % 23.82/6.24 | Equations (2627) can reduce 309 to: % 23.82/6.24 | (298) $false % 23.82/6.24 | % 23.82/6.24 |-The branch is then unsatisfiable % 23.82/6.24 |-Branch two: % 23.82/6.24 | (273) ~ (all_0_44_44 = e1) % 23.82/6.24 | (4290) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_56_56 = e1 % 23.82/6.24 | % 23.82/6.24 +-Applying beta-rule and splitting (4290), into two cases. % 23.82/6.24 |-Branch one: % 23.82/6.24 | (457) all_0_49_49 = e1 % 23.82/6.24 | % 23.82/6.24 | Equations (457) can reduce 329 to: % 23.82/6.24 | (298) $false % 23.82/6.24 | % 23.82/6.24 |-The branch is then unsatisfiable % 23.82/6.24 |-Branch two: % 23.82/6.24 | (329) ~ (all_0_49_49 = e1) % 23.82/6.24 | (4324) all_0_53_53 = e1 | all_0_56_56 = e1 % 23.82/6.24 | % 23.82/6.24 +-Applying beta-rule and splitting (4324), into two cases. % 23.82/6.24 |-Branch one: % 23.82/6.24 | (272) all_0_53_53 = e1 % 23.82/6.24 | % 23.82/6.24 | Combining equations (419,272) yields a new equation: % 23.82/6.24 | (1084) e3 = e1 % 23.82/6.24 | % 23.82/6.24 | Simplifying 1084 yields: % 23.82/6.24 | (420) e3 = e1 % 23.82/6.24 | % 23.82/6.24 | Equations (420) can reduce 214 to: % 23.82/6.24 | (298) $false % 23.82/6.24 | % 23.82/6.24 |-The branch is then unsatisfiable % 23.82/6.24 |-Branch two: % 23.82/6.24 | (3699) ~ (all_0_53_53 = e1) % 23.82/6.24 | (314) all_0_56_56 = e1 % 23.82/6.24 | % 23.82/6.24 | Combining equations (653,314) yields a new equation: % 23.82/6.24 | (297) e1 = e0 % 23.82/6.24 | % 23.82/6.24 | Equations (297) can reduce 231 to: % 23.82/6.24 | (298) $false % 23.82/6.24 | % 23.82/6.24 |-The branch is then unsatisfiable % 23.82/6.24 |-Branch two: % 23.82/6.24 | (398) ~ (all_0_50_50 = e2) % 23.82/6.24 | (1906) all_0_51_51 = e2 | all_0_52_52 = e2 % 23.82/6.24 | % 23.82/6.24 +-Applying beta-rule and splitting (371), into two cases. % 23.82/6.24 |-Branch one: % 23.82/6.24 | (396) all_0_51_51 = e2 % 23.82/6.24 | % 23.82/6.24 | Combining equations (1704,396) yields a new equation: % 23.82/6.24 | (544) e2 = e1 % 23.82/6.24 | % 23.82/6.24 | Equations (544) can reduce 134 to: % 23.82/6.24 | (298) $false % 23.82/6.24 | % 23.82/6.24 |-The branch is then unsatisfiable % 23.82/6.24 |-Branch two: % 23.82/6.24 | (885) ~ (all_0_51_51 = e2) % 23.82/6.24 | (886) all_0_59_59 = e2 % 23.82/6.24 | % 23.82/6.24 | Equations (886) can reduce 2156 to: % 23.82/6.24 | (134) ~ (e2 = e1) % 23.82/6.24 | % 23.82/6.24 +-Applying beta-rule and splitting (1906), into two cases. % 23.82/6.24 |-Branch one: % 23.82/6.24 | (396) all_0_51_51 = e2 % 23.82/6.24 | % 23.82/6.24 | Combining equations (1704,396) yields a new equation: % 23.82/6.24 | (544) e2 = e1 % 23.82/6.25 | % 23.82/6.25 | Equations (544) can reduce 134 to: % 23.82/6.25 | (298) $false % 23.82/6.25 | % 23.82/6.25 |-The branch is then unsatisfiable % 23.82/6.25 |-Branch two: % 23.82/6.25 | (885) ~ (all_0_51_51 = e2) % 23.82/6.25 | (938) all_0_52_52 = e2 % 23.82/6.25 | % 23.82/6.25 | Equations (938) can reduce 941 to: % 23.82/6.25 | (298) $false % 23.82/6.25 | % 23.82/6.25 |-The branch is then unsatisfiable % 23.82/6.25 |-Branch two: % 23.82/6.25 | (344) ~ (all_0_51_51 = e1) % 23.82/6.25 | (326) all_0_52_52 = e1 % 23.82/6.25 | % 23.82/6.25 | Equations (326) can reduce 2161 to: % 23.82/6.25 | (298) $false % 23.82/6.25 | % 23.82/6.25 |-The branch is then unsatisfiable % 23.82/6.25 |-Branch two: % 23.82/6.25 | (306) ~ (all_0_56_56 = e0) % 23.82/6.25 | (1503) all_0_56_56 = e4 | all_0_56_56 = e3 % 23.82/6.25 | % 23.82/6.25 +-Applying beta-rule and splitting (141), into two cases. % 23.82/6.25 |-Branch one: % 23.82/6.25 | (653) all_0_56_56 = e0 % 23.82/6.25 | % 23.82/6.25 | Equations (653) can reduce 306 to: % 23.82/6.25 | (298) $false % 23.82/6.25 | % 23.82/6.25 |-The branch is then unsatisfiable % 23.82/6.25 |-Branch two: % 23.82/6.25 | (306) ~ (all_0_56_56 = e0) % 23.82/6.25 | (2992) all_0_57_57 = e0 | all_0_59_59 = e0 | all_0_60_60 = e0 % 23.82/6.25 | % 23.82/6.25 +-Applying beta-rule and splitting (2992), into two cases. % 23.82/6.25 |-Branch one: % 23.82/6.25 | (1242) all_0_57_57 = e0 % 23.82/6.25 | % 23.82/6.25 | Equations (1242) can reduce 307 to: % 23.82/6.25 | (298) $false % 23.82/6.25 | % 23.82/6.25 |-The branch is then unsatisfiable % 23.82/6.25 |-Branch two: % 23.82/6.25 | (307) ~ (all_0_57_57 = e0) % 23.82/6.25 | (6364) all_0_59_59 = e0 | all_0_60_60 = e0 % 23.82/6.25 | % 23.82/6.25 +-Applying beta-rule and splitting (6364), into two cases. % 23.82/6.25 |-Branch one: % 23.82/6.25 | (2627) all_0_59_59 = e0 % 23.82/6.25 | % 23.82/6.25 | Equations (2627) can reduce 99 to: % 23.82/6.25 | (306) ~ (all_0_56_56 = e0) % 23.82/6.25 | % 23.82/6.25 +-Applying beta-rule and splitting (32), into two cases. % 23.82/6.25 |-Branch one: % 23.82/6.25 | (368) all_0_47_47 = e2 % 23.82/6.25 | % 23.82/6.25 | Equations (368) can reduce 361 to: % 23.82/6.25 | (298) $false % 23.82/6.25 | % 23.82/6.25 |-The branch is then unsatisfiable % 23.82/6.25 |-Branch two: % 23.82/6.25 | (361) ~ (all_0_47_47 = e2) % 23.82/6.25 | (371) all_0_51_51 = e2 | all_0_59_59 = e2 % 23.82/6.25 | % 23.82/6.25 +-Applying beta-rule and splitting (54), into two cases. % 23.82/6.25 |-Branch one: % 23.82/6.25 | (500) all_0_44_44 = e0 % 23.82/6.25 | % 23.82/6.25 | Equations (500) can reduce 503 to: % 23.82/6.25 | (298) $false % 23.82/6.25 | % 23.82/6.25 |-The branch is then unsatisfiable % 23.82/6.25 |-Branch two: % 24.22/6.25 | (503) ~ (all_0_44_44 = e0) % 24.22/6.25 | (504) all_0_49_49 = e0 | all_0_56_56 = e0 % 24.22/6.25 | % 24.22/6.25 +-Applying beta-rule and splitting (504), into two cases. % 24.22/6.25 |-Branch one: % 24.22/6.25 | (637) all_0_49_49 = e0 % 24.22/6.25 | % 24.22/6.25 | Equations (637) can reduce 189 to: % 24.22/6.25 | (660) ~ (all_0_50_50 = e0) % 24.22/6.25 | % 24.22/6.25 | Simplifying 660 yields: % 24.22/6.25 | (661) ~ (all_0_50_50 = e0) % 24.22/6.25 | % 24.22/6.25 | Equations (637) can reduce 44 to: % 24.22/6.25 | (4559) ~ (all_0_52_52 = e0) % 24.22/6.25 | % 24.22/6.25 | Simplifying 4559 yields: % 24.22/6.25 | (304) ~ (all_0_52_52 = e0) % 24.22/6.25 | % 24.22/6.25 | Equations (637) can reduce 86 to: % 24.22/6.25 | (782) ~ (e2 = e0) % 24.22/6.25 | % 24.22/6.25 | Simplifying 782 yields: % 24.22/6.25 | (139) ~ (e2 = e0) % 24.22/6.25 | % 24.22/6.25 +-Applying beta-rule and splitting (371), into two cases. % 24.22/6.25 |-Branch one: % 24.22/6.25 | (396) all_0_51_51 = e2 % 24.22/6.25 | % 24.22/6.25 | Equations (396) can reduce 157 to: % 24.22/6.25 | (398) ~ (all_0_50_50 = e2) % 24.22/6.25 | % 24.22/6.25 | Equations (396) can reduce 22 to: % 24.22/6.25 | (2566) ~ (all_0_52_52 = e2) % 24.22/6.25 | % 24.22/6.25 | Simplifying 2566 yields: % 24.22/6.25 | (941) ~ (all_0_52_52 = e2) % 24.22/6.25 | % 24.22/6.25 +-Applying beta-rule and splitting (160), into two cases. % 24.22/6.25 |-Branch one: % 24.22/6.25 | (771) all_0_50_50 = e1 % 24.22/6.25 | % 24.22/6.25 | Equations (771) can reduce 330 to: % 24.22/6.25 | (298) $false % 24.22/6.25 | % 24.22/6.25 |-The branch is then unsatisfiable % 24.22/6.25 |-Branch two: % 24.22/6.25 | (330) ~ (all_0_50_50 = e1) % 24.22/6.25 | (774) all_0_50_50 = e4 | all_0_50_50 = e2 | all_0_50_50 = e0 % 24.22/6.25 | % 24.22/6.25 +-Applying beta-rule and splitting (774), into two cases. % 24.22/6.25 |-Branch one: % 24.22/6.25 | (781) all_0_50_50 = e0 % 24.22/6.25 | % 24.22/6.25 | Equations (781) can reduce 661 to: % 24.22/6.25 | (298) $false % 24.22/6.25 | % 24.22/6.25 |-The branch is then unsatisfiable % 24.22/6.25 |-Branch two: % 24.22/6.25 | (661) ~ (all_0_50_50 = e0) % 24.22/6.25 | (834) all_0_50_50 = e4 | all_0_50_50 = e2 % 24.22/6.25 | % 24.22/6.25 +-Applying beta-rule and splitting (834), into two cases. % 24.22/6.25 |-Branch one: % 24.22/6.25 | (523) all_0_50_50 = e4 % 24.22/6.25 | % 24.22/6.25 | Equations (523) can reduce 234 to: % 24.22/6.25 | (2335) ~ (all_0_52_52 = e4) % 24.22/6.25 | % 24.22/6.25 | Simplifying 2335 yields: % 24.22/6.25 | (695) ~ (all_0_52_52 = e4) % 24.22/6.25 | % 24.22/6.25 +-Applying beta-rule and splitting (133), into two cases. % 24.22/6.25 |-Branch one: % 24.22/6.25 | (326) all_0_52_52 = e1 % 24.22/6.25 | % 24.22/6.25 | Equations (326) can reduce 2161 to: % 24.22/6.25 | (298) $false % 24.22/6.25 | % 24.22/6.25 |-The branch is then unsatisfiable % 24.22/6.25 |-Branch two: % 24.22/6.25 | (2161) ~ (all_0_52_52 = e1) % 24.22/6.25 | (2880) all_0_52_52 = e4 | all_0_52_52 = e2 | all_0_52_52 = e0 % 24.22/6.25 | % 24.22/6.25 +-Applying beta-rule and splitting (2880), into two cases. % 24.22/6.25 |-Branch one: % 24.22/6.25 | (2078) all_0_52_52 = e0 % 24.22/6.25 | % 24.22/6.25 | Equations (2078) can reduce 304 to: % 24.22/6.25 | (298) $false % 24.22/6.25 | % 24.22/6.25 |-The branch is then unsatisfiable % 24.22/6.25 |-Branch two: % 24.22/6.25 | (304) ~ (all_0_52_52 = e0) % 24.22/6.25 | (2984) all_0_52_52 = e4 | all_0_52_52 = e2 % 24.22/6.25 | % 24.22/6.25 +-Applying beta-rule and splitting (2984), into two cases. % 24.22/6.25 |-Branch one: % 24.22/6.25 | (597) all_0_52_52 = e4 % 24.22/6.25 | % 24.22/6.25 | Equations (597) can reduce 695 to: % 24.22/6.25 | (298) $false % 24.22/6.25 | % 24.22/6.25 |-The branch is then unsatisfiable % 24.22/6.25 |-Branch two: % 24.22/6.25 | (695) ~ (all_0_52_52 = e4) % 24.22/6.25 | (938) all_0_52_52 = e2 % 24.22/6.25 | % 24.22/6.25 | Equations (938) can reduce 941 to: % 24.22/6.25 | (298) $false % 24.22/6.25 | % 24.22/6.25 |-The branch is then unsatisfiable % 24.22/6.25 |-Branch two: % 24.22/6.25 | (596) ~ (all_0_50_50 = e4) % 24.22/6.25 | (838) all_0_50_50 = e2 % 24.22/6.25 | % 24.22/6.25 | Equations (838) can reduce 398 to: % 24.22/6.25 | (298) $false % 24.22/6.25 | % 24.22/6.25 |-The branch is then unsatisfiable % 24.22/6.25 |-Branch two: % 24.22/6.25 | (885) ~ (all_0_51_51 = e2) % 24.22/6.25 | (886) all_0_59_59 = e2 % 24.22/6.25 | % 24.22/6.25 | Combining equations (2627,886) yields a new equation: % 24.22/6.25 | (569) e2 = e0 % 24.22/6.25 | % 24.22/6.25 | Equations (569) can reduce 139 to: % 24.22/6.25 | (298) $false % 24.22/6.25 | % 24.22/6.25 |-The branch is then unsatisfiable % 24.22/6.25 |-Branch two: % 24.22/6.25 | (652) ~ (all_0_49_49 = e0) % 24.22/6.25 | (653) all_0_56_56 = e0 % 24.22/6.25 | % 24.22/6.25 | Equations (653) can reduce 306 to: % 24.22/6.25 | (298) $false % 24.22/6.25 | % 24.22/6.25 |-The branch is then unsatisfiable % 24.22/6.25 |-Branch two: % 24.22/6.25 | (309) ~ (all_0_59_59 = e0) % 24.22/6.25 | (300) all_0_60_60 = e0 % 24.22/6.25 | % 24.22/6.25 | Combining equations (300,2157) yields a new equation: % 24.22/6.25 | (297) e1 = e0 % 24.22/6.25 | % 24.22/6.25 | Equations (297) can reduce 231 to: % 24.22/6.25 | (298) $false % 24.22/6.25 | % 24.22/6.25 |-The branch is then unsatisfiable % 24.22/6.25 |-Branch two: % 24.22/6.25 | (973) ~ (all_0_46_46 = e2) % 24.22/6.25 | (955) all_0_58_58 = e2 % 24.22/6.25 | % 24.22/6.25 | Equations (955) can reduce 236 to: % 24.22/6.25 | (973) ~ (all_0_46_46 = e2) % 24.22/6.25 | % 24.22/6.25 | Equations (955) can reduce 230 to: % 24.22/6.25 | (26) ~ (all_0_56_56 = e2) % 24.22/6.25 | % 24.22/6.25 | Equations (955) can reduce 262 to: % 24.22/6.25 | (134) ~ (e2 = e1) % 24.22/6.25 | % 24.22/6.25 | Equations (955) can reduce 199 to: % 24.22/6.25 | (139) ~ (e2 = e0) % 24.22/6.25 | % 24.22/6.25 | From (955) and (191) follows: % 24.22/6.25 | (980) op(e2, e2) = all_0_36_36 % 24.22/6.25 | % 24.22/6.25 | From (955) and (145) follows: % 24.22/6.25 | (4370) op(e2, e0) = all_0_35_35 % 24.22/6.25 | % 24.22/6.25 | From (955) and (185) follows: % 24.22/6.25 | (981) op(e0, e2) = e2 % 24.22/6.25 | % 24.22/6.25 +-Applying beta-rule and splitting (203), into two cases. % 24.22/6.25 |-Branch one: % 24.22/6.25 | (603) all_0_41_41 = e4 % 24.22/6.25 | % 24.22/6.25 | Combining equations (253,603) yields a new equation: % 24.22/6.25 | (535) e4 = e1 % 24.22/6.25 | % 24.22/6.25 | Equations (535) can reduce 115 to: % 24.22/6.25 | (298) $false % 24.22/6.25 | % 24.22/6.25 |-The branch is then unsatisfiable % 24.22/6.25 |-Branch two: % 24.22/6.25 | (607) ~ (all_0_41_41 = e4) % 24.22/6.25 | (932) all_0_46_46 = e4 | all_0_58_58 = e4 % 24.22/6.25 | % 24.22/6.25 +-Applying beta-rule and splitting (248), into two cases. % 24.22/6.25 |-Branch one: % 24.22/6.25 | (948) all_0_45_45 = e2 % 24.22/6.25 | % 24.22/6.25 | Combining equations (295,948) yields a new equation: % 24.22/6.25 | (569) e2 = e0 % 24.22/6.25 | % 24.22/6.25 | Equations (569) can reduce 139 to: % 24.22/6.25 | (298) $false % 24.22/6.25 | % 24.22/6.25 |-The branch is then unsatisfiable % 24.22/6.25 |-Branch two: % 24.22/6.25 | (951) ~ (all_0_45_45 = e2) % 24.22/6.25 | (952) all_0_50_50 = e2 | all_0_54_54 = e2 | all_0_57_57 = e2 % 24.22/6.25 | % 24.22/6.25 | Equations (295) can reduce 951 to: % 24.22/6.25 | (782) ~ (e2 = e0) % 24.22/6.25 | % 24.22/6.25 | Simplifying 782 yields: % 24.22/6.25 | (139) ~ (e2 = e0) % 24.22/6.25 | % 24.22/6.25 +-Applying beta-rule and splitting (155), into two cases. % 24.22/6.25 |-Branch one: % 24.22/6.25 | (948) all_0_45_45 = e2 % 24.22/6.25 | % 24.22/6.25 | Combining equations (295,948) yields a new equation: % 24.22/6.25 | (569) e2 = e0 % 24.22/6.25 | % 24.22/6.25 | Equations (569) can reduce 139 to: % 24.22/6.25 | (298) $false % 24.22/6.25 | % 24.22/6.25 |-The branch is then unsatisfiable % 24.22/6.25 |-Branch two: % 24.22/6.25 | (951) ~ (all_0_45_45 = e2) % 24.22/6.25 | (1616) all_0_46_46 = e2 | all_0_47_47 = e2 | all_0_48_48 = e2 % 24.22/6.25 | % 24.22/6.25 +-Applying beta-rule and splitting (1616), into two cases. % 24.22/6.25 |-Branch one: % 24.22/6.25 | (358) all_0_46_46 = e2 % 24.22/6.25 | % 24.22/6.25 | Equations (358) can reduce 973 to: % 24.22/6.25 | (298) $false % 24.22/6.25 | % 24.22/6.25 |-The branch is then unsatisfiable % 24.22/6.25 |-Branch two: % 24.22/6.25 | (973) ~ (all_0_46_46 = e2) % 24.22/6.25 | (1665) all_0_47_47 = e2 | all_0_48_48 = e2 % 24.22/6.25 | % 24.22/6.25 +-Applying beta-rule and splitting (1665), into two cases. % 24.22/6.25 |-Branch one: % 24.22/6.25 | (368) all_0_47_47 = e2 % 24.22/6.25 | % 24.22/6.25 | Equations (368) can reduce 98 to: % 24.22/6.25 | (107) ~ (all_0_44_44 = e2) % 24.22/6.25 | % 24.22/6.25 | Equations (368) can reduce 179 to: % 24.22/6.25 | (973) ~ (all_0_46_46 = e2) % 24.22/6.25 | % 24.22/6.25 | Equations (368) can reduce 224 to: % 24.22/6.25 | (362) ~ (all_0_48_48 = e2) % 24.22/6.25 | % 24.22/6.25 | Simplifying 362 yields: % 24.22/6.25 | (363) ~ (all_0_48_48 = e2) % 24.22/6.25 | % 24.22/6.25 | Equations (368) can reduce 171 to: % 24.22/6.25 | (1698) ~ (all_0_51_51 = e2) % 24.22/6.25 | % 24.22/6.25 | Simplifying 1698 yields: % 24.22/6.25 | (885) ~ (all_0_51_51 = e2) % 24.22/6.25 | % 24.22/6.25 | Equations (368) can reduce 119 to: % 24.22/6.25 | (2551) ~ (all_0_59_59 = e2) % 24.22/6.25 | % 24.22/6.25 | Simplifying 2551 yields: % 24.22/6.25 | (963) ~ (all_0_59_59 = e2) % 24.22/6.25 | % 24.22/6.25 | Equations (368) can reduce 76 to: % 24.22/6.25 | (399) ~ (e4 = e2) % 24.22/6.25 | % 24.22/6.25 | Simplifying 399 yields: % 24.22/6.25 | (46) ~ (e4 = e2) % 24.22/6.25 | % 24.22/6.25 | From (368) and (158) follows: % 24.22/6.25 | (1703) op(e3, e1) = e2 % 24.22/6.25 | % 24.22/6.25 +-Applying beta-rule and splitting (14), into two cases. % 24.22/6.25 |-Branch one: % 24.22/6.25 | (1299) all_0_44_44 = e1 % 24.22/6.25 | % 24.22/6.25 | Equations (1299) can reduce 6 to: % 24.22/6.25 | (289) ~ (all_0_48_48 = e1) % 24.22/6.25 | % 24.22/6.25 | Simplifying 289 yields: % 24.22/6.25 | (290) ~ (all_0_48_48 = e1) % 24.22/6.25 | % 24.22/6.25 | Equations (1299) can reduce 195 to: % 24.22/6.25 | (278) ~ (all_0_56_56 = e1) % 24.22/6.25 | % 24.22/6.25 | Simplifying 278 yields: % 24.22/6.25 | (279) ~ (all_0_56_56 = e1) % 24.22/6.25 | % 24.22/6.25 | Equations (1299) can reduce 107 to: % 24.22/6.25 | (263) ~ (e2 = e1) % 24.22/6.26 | % 24.22/6.26 | Simplifying 263 yields: % 24.22/6.26 | (134) ~ (e2 = e1) % 24.22/6.26 | % 24.22/6.26 | Equations (1299) can reduce 503 to: % 24.22/6.26 | (231) ~ (e1 = e0) % 24.22/6.26 | % 24.22/6.26 | From (1299) and (116) follows: % 24.22/6.26 | (6120) op(e1, e4) = all_0_9_9 % 24.22/6.26 | % 24.22/6.26 | From (1299) and (124) follows: % 24.22/6.26 | (6475) op(e3, e4) = e1 % 24.22/6.26 | % 24.22/6.26 +-Applying beta-rule and splitting (147), into two cases. % 24.22/6.26 |-Branch one: % 24.22/6.26 | (453) all_0_42_42 = e1 % 24.22/6.26 | % 24.22/6.26 | Equations (453) can reduce 256 to: % 24.22/6.26 | (298) $false % 24.22/6.26 | % 24.22/6.26 |-The branch is then unsatisfiable % 24.22/6.26 |-Branch two: % 24.22/6.26 | (256) ~ (all_0_42_42 = e1) % 24.22/6.26 | (5490) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_59_59 = e1 % 24.22/6.26 | % 24.22/6.26 +-Applying beta-rule and splitting (5490), into two cases. % 24.22/6.26 |-Branch one: % 24.22/6.26 | (487) all_0_47_47 = e1 % 24.22/6.26 | % 24.22/6.26 | Combining equations (368,487) yields a new equation: % 24.22/6.26 | (887) e2 = e1 % 24.22/6.26 | % 24.22/6.26 | Simplifying 887 yields: % 24.22/6.26 | (544) e2 = e1 % 24.22/6.26 | % 24.22/6.26 | Equations (544) can reduce 134 to: % 24.22/6.26 | (298) $false % 24.22/6.26 | % 24.22/6.26 |-The branch is then unsatisfiable % 24.22/6.26 |-Branch two: % 24.22/6.26 | (343) ~ (all_0_47_47 = e1) % 24.22/6.26 | (6059) all_0_51_51 = e1 | all_0_59_59 = e1 % 24.22/6.26 | % 24.22/6.26 +-Applying beta-rule and splitting (932), into two cases. % 24.22/6.26 |-Branch one: % 24.22/6.26 | (933) all_0_46_46 = e4 % 24.22/6.26 | % 24.22/6.26 | Equations (933) can reduce 174 to: % 24.22/6.26 | (4379) ~ (all_0_48_48 = e4) % 24.22/6.26 | % 24.22/6.26 | Simplifying 4379 yields: % 24.22/6.26 | (690) ~ (all_0_48_48 = e4) % 24.22/6.26 | % 24.22/6.26 | Equations (933) can reduce 973 to: % 24.22/6.26 | (46) ~ (e4 = e2) % 24.22/6.26 | % 24.22/6.26 | Equations (933) can reduce 151 to: % 24.22/6.26 | (47) ~ (e4 = e0) % 24.22/6.26 | % 24.22/6.26 | From (933) and (144) follows: % 24.22/6.26 | (993) op(e4, e2) = all_0_12_12 % 24.22/6.26 | % 24.22/6.26 | From (933) and (13) follows: % 24.22/6.26 | (994) op(e3, e2) = e4 % 24.22/6.26 | % 24.22/6.26 +-Applying beta-rule and splitting (6059), into two cases. % 24.22/6.26 |-Branch one: % 24.22/6.26 | (1704) all_0_51_51 = e1 % 24.22/6.26 | % 24.22/6.26 | Equations (1704) can reduce 153 to: % 24.22/6.26 | (256) ~ (all_0_42_42 = e1) % 24.22/6.26 | % 24.22/6.26 | Equations (1704) can reduce 82 to: % 24.22/6.26 | (329) ~ (all_0_49_49 = e1) % 24.22/6.26 | % 24.22/6.26 | Equations (1704) can reduce 157 to: % 24.22/6.26 | (330) ~ (all_0_50_50 = e1) % 24.22/6.26 | % 24.22/6.26 | Equations (1704) can reduce 22 to: % 24.22/6.26 | (2229) ~ (all_0_52_52 = e1) % 24.22/6.26 | % 24.22/6.26 | Simplifying 2229 yields: % 24.22/6.26 | (2161) ~ (all_0_52_52 = e1) % 24.22/6.26 | % 24.22/6.26 | Equations (1704) can reduce 73 to: % 24.22/6.26 | (2217) ~ (all_0_59_59 = e1) % 24.22/6.26 | % 24.22/6.26 | Simplifying 2217 yields: % 24.22/6.26 | (2156) ~ (all_0_59_59 = e1) % 24.22/6.26 | % 24.22/6.26 | Equations (1704) can reduce 37 to: % 24.22/6.26 | (347) ~ (e4 = e1) % 24.22/6.26 | % 24.22/6.26 | Simplifying 347 yields: % 24.22/6.26 | (115) ~ (e4 = e1) % 24.22/6.26 | % 24.22/6.26 | Equations (1704) can reduce 885 to: % 24.22/6.26 | (263) ~ (e2 = e1) % 24.22/6.26 | % 24.22/6.26 | Simplifying 263 yields: % 24.22/6.26 | (134) ~ (e2 = e1) % 24.22/6.26 | % 24.22/6.26 | From (1704) and (33) follows: % 24.22/6.26 | (3851) op(e1, e1) = all_0_22_22 % 24.22/6.26 | % 24.22/6.26 +-Applying beta-rule and splitting (8), into two cases. % 24.22/6.26 |-Branch one: % 24.22/6.26 | (318) all_0_48_48 = e1 % 24.22/6.26 | % 24.22/6.26 | Equations (318) can reduce 290 to: % 24.22/6.26 | (298) $false % 24.22/6.26 | % 24.22/6.26 |-The branch is then unsatisfiable % 24.22/6.26 |-Branch two: % 24.22/6.26 | (290) ~ (all_0_48_48 = e1) % 24.22/6.26 | (716) all_0_48_48 = e4 | all_0_48_48 = e3 | all_0_48_48 = e2 | all_0_48_48 = e0 % 24.22/6.26 | % 24.22/6.26 +-Applying beta-rule and splitting (952), into two cases. % 24.22/6.26 |-Branch one: % 24.22/6.26 | (838) all_0_50_50 = e2 % 24.22/6.26 | % 24.22/6.26 | Equations (838) can reduce 330 to: % 24.22/6.26 | (134) ~ (e2 = e1) % 24.22/6.26 | % 24.22/6.26 | From (838) and (117) follows: % 24.22/6.26 | (1718) op(e2, e2) = all_0_19_19 % 24.22/6.26 | % 24.22/6.26 +-Applying beta-rule and splitting (716), into two cases. % 24.22/6.26 |-Branch one: % 24.22/6.26 | (717) all_0_48_48 = e0 % 24.22/6.26 | % 24.22/6.26 | Equations (717) can reduce 303 to: % 24.22/6.26 | (298) $false % 24.22/6.26 | % 24.22/6.26 |-The branch is then unsatisfiable % 24.22/6.26 |-Branch two: % 24.22/6.26 | (303) ~ (all_0_48_48 = e0) % 24.22/6.26 | (720) all_0_48_48 = e4 | all_0_48_48 = e3 | all_0_48_48 = e2 % 24.22/6.26 | % 24.22/6.26 +-Applying beta-rule and splitting (720), into two cases. % 24.22/6.26 |-Branch one: % 24.22/6.26 | (491) all_0_48_48 = e3 % 24.22/6.26 | % 24.22/6.26 | Equations (491) can reduce 16 to: % 24.22/6.26 | (471) ~ (all_0_43_43 = e3) % 24.22/6.26 | % 24.22/6.26 | Equations (491) can reduce 363 to: % 24.22/6.26 | (213) ~ (e3 = e2) % 24.22/6.26 | % 24.22/6.26 | Equations (491) can reduce 303 to: % 24.22/6.26 | (84) ~ (e3 = e0) % 24.22/6.26 | % 24.22/6.26 | Instantiating formula (206) with e4, e2, all_0_12_12, e1 and discharging atoms op(e4, e2) = all_0_12_12, op(e4, e2) = e1, yields: % 24.22/6.26 | (1005) all_0_12_12 = e1 % 24.22/6.26 | % 24.22/6.26 | Instantiating formula (206) with e2, e2, all_0_19_19, e3 and discharging atoms op(e2, e2) = all_0_19_19, op(e2, e2) = e3, yields: % 24.22/6.26 | (1758) all_0_19_19 = e3 % 24.22/6.26 | % 24.22/6.26 | Instantiating formula (206) with e2, e2, all_0_36_36, all_0_19_19 and discharging atoms op(e2, e2) = all_0_19_19, op(e2, e2) = all_0_36_36, yields: % 24.22/6.26 | (6523) all_0_19_19 = all_0_36_36 % 24.22/6.26 | % 24.22/6.26 | Instantiating formula (206) with e2, e0, all_0_35_35, all_0_52_52 and discharging atoms op(e2, e0) = all_0_35_35, op(e2, e0) = all_0_52_52, yields: % 24.22/6.26 | (4404) all_0_35_35 = all_0_52_52 % 24.22/6.26 | % 24.22/6.26 | Instantiating formula (206) with e1, e4, all_0_9_9, e3 and discharging atoms op(e1, e4) = all_0_9_9, op(e1, e4) = e3, yields: % 24.22/6.26 | (2277) all_0_9_9 = e3 % 24.22/6.26 | % 24.22/6.26 | Instantiating formula (206) with e1, e1, all_0_22_22, e4 and discharging atoms op(e1, e1) = all_0_22_22, op(e1, e1) = e4, yields: % 24.22/6.26 | (3859) all_0_22_22 = e4 % 24.22/6.26 | % 24.22/6.26 | Combining equations (1758,6523) yields a new equation: % 24.22/6.26 | (1007) all_0_36_36 = e3 % 24.22/6.26 | % 24.22/6.26 | From (1005) and (993) follows: % 24.22/6.26 | (268) op(e4, e2) = e1 % 24.22/6.26 | % 24.22/6.26 | From (1007) and (980) follows: % 24.22/6.26 | (72) op(e2, e2) = e3 % 24.22/6.26 | % 24.22/6.26 | From (4404) and (4370) follows: % 24.22/6.26 | (217) op(e2, e0) = all_0_52_52 % 24.22/6.26 | % 24.22/6.26 | From (2277) and (6120) follows: % 24.22/6.26 | (3711) op(e1, e4) = e3 % 24.22/6.26 | % 24.22/6.26 | From (3859) and (3851) follows: % 24.22/6.26 | (227) op(e1, e1) = e4 % 24.22/6.26 | % 24.22/6.26 +-Applying beta-rule and splitting (92), into two cases. % 24.22/6.26 |-Branch one: % 24.22/6.26 | (453) all_0_42_42 = e1 % 24.22/6.26 | % 24.22/6.26 | Equations (453) can reduce 256 to: % 24.22/6.26 | (298) $false % 24.22/6.26 | % 24.22/6.26 |-The branch is then unsatisfiable % 24.22/6.26 |-Branch two: % 24.22/6.26 | (256) ~ (all_0_42_42 = e1) % 24.22/6.26 | (456) all_0_42_42 = e3 | all_0_42_42 = e0 % 24.22/6.26 | % 24.22/6.26 +-Applying beta-rule and splitting (105), into two cases. % 24.22/6.26 |-Branch one: % 24.22/6.26 | (457) all_0_49_49 = e1 % 24.22/6.26 | % 24.22/6.26 | Equations (457) can reduce 329 to: % 24.22/6.26 | (298) $false % 24.22/6.26 | % 24.22/6.26 |-The branch is then unsatisfiable % 24.22/6.26 |-Branch two: % 24.22/6.26 | (329) ~ (all_0_49_49 = e1) % 24.22/6.26 | (460) all_0_49_49 = e4 | all_0_49_49 = e0 % 24.22/6.26 | % 24.22/6.26 +-Applying beta-rule and splitting (212), into two cases. % 24.22/6.26 |-Branch one: % 24.22/6.26 | (461) all_0_40_40 = e0 % 24.22/6.26 | % 24.22/6.26 | Equations (461) can reduce 745 to: % 24.22/6.26 | (298) $false % 24.22/6.26 | % 24.22/6.26 |-The branch is then unsatisfiable % 24.22/6.26 |-Branch two: % 24.22/6.26 | (745) ~ (all_0_40_40 = e0) % 24.22/6.26 | (746) all_0_42_42 = e0 | all_0_43_43 = e0 % 24.22/6.26 | % 24.22/6.26 +-Applying beta-rule and splitting (54), into two cases. % 24.22/6.26 |-Branch one: % 24.22/6.26 | (500) all_0_44_44 = e0 % 24.22/6.26 | % 24.22/6.26 | Combining equations (500,1299) yields a new equation: % 24.22/6.26 | (297) e1 = e0 % 24.22/6.26 | % 24.22/6.26 | Equations (297) can reduce 231 to: % 24.22/6.26 | (298) $false % 24.22/6.26 | % 24.22/6.26 |-The branch is then unsatisfiable % 24.22/6.26 |-Branch two: % 24.22/6.26 | (503) ~ (all_0_44_44 = e0) % 24.22/6.26 | (504) all_0_49_49 = e0 | all_0_56_56 = e0 % 24.22/6.26 | % 24.22/6.26 +-Applying beta-rule and splitting (251), into two cases. % 24.22/6.26 |-Branch one: % 24.22/6.26 | (469) all_0_42_42 = e3 % 24.22/6.26 | % 24.22/6.26 | Equations (469) can reduce 204 to: % 24.22/6.26 | (425) ~ (all_0_40_40 = e3) % 24.22/6.26 | % 24.22/6.26 | Equations (469) can reduce 118 to: % 24.22/6.26 | (2351) ~ (all_0_59_59 = e3) % 24.22/6.26 | % 24.22/6.26 | Simplifying 2351 yields: % 24.22/6.26 | (910) ~ (all_0_59_59 = e3) % 24.22/6.26 | % 24.22/6.26 | Equations (469) can reduce 256 to: % 24.22/6.26 | (214) ~ (e3 = e1) % 24.22/6.26 | % 24.22/6.26 +-Applying beta-rule and splitting (746), into two cases. % 24.22/6.26 |-Branch one: % 24.22/6.26 | (466) all_0_42_42 = e0 % 24.22/6.26 | % 24.22/6.26 | Combining equations (466,469) yields a new equation: % 24.22/6.26 | (534) e3 = e0 % 24.22/6.26 | % 24.22/6.26 | Equations (534) can reduce 84 to: % 24.22/6.26 | (298) $false % 24.22/6.26 | % 24.22/6.26 |-The branch is then unsatisfiable % 24.22/6.26 |-Branch two: % 24.22/6.26 | (463) ~ (all_0_42_42 = e0) % 24.22/6.26 | (1253) all_0_43_43 = e0 % 24.22/6.26 | % 24.22/6.26 | Equations (1253) can reduce 238 to: % 24.22/6.26 | (745) ~ (all_0_40_40 = e0) % 24.22/6.26 | % 24.22/6.26 | From (1253) and (34) follows: % 24.22/6.26 | (559) op(e4, e0) = e0 % 24.22/6.26 | % 24.22/6.26 +-Applying beta-rule and splitting (109), into two cases. % 24.22/6.26 |-Branch one: % 24.22/6.26 | (747) all_0_40_40 = e1 % 24.22/6.26 | % 24.22/6.26 | Equations (747) can reduce 254 to: % 24.22/6.26 | (298) $false % 24.22/6.26 | % 24.22/6.26 |-The branch is then unsatisfiable % 24.22/6.26 |-Branch two: % 24.22/6.26 | (254) ~ (all_0_40_40 = e1) % 24.22/6.26 | (750) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e0 % 24.22/6.26 | % 24.22/6.26 +-Applying beta-rule and splitting (215), into two cases. % 24.22/6.26 |-Branch one: % 24.22/6.26 | (341) all_0_59_59 = e1 % 24.22/6.26 | % 24.22/6.26 | Equations (341) can reduce 2156 to: % 24.22/6.26 | (298) $false % 24.22/6.26 | % 24.22/6.26 |-The branch is then unsatisfiable % 24.22/6.26 |-Branch two: % 24.22/6.26 | (2156) ~ (all_0_59_59 = e1) % 24.22/6.26 | (2378) all_0_59_59 = e3 | all_0_59_59 = e2 | all_0_59_59 = e0 % 24.22/6.26 | % 24.22/6.26 +-Applying beta-rule and splitting (750), into two cases. % 24.22/6.26 |-Branch one: % 24.22/6.26 | (461) all_0_40_40 = e0 % 24.22/6.26 | % 24.22/6.27 | Equations (461) can reduce 745 to: % 24.22/6.27 | (298) $false % 24.22/6.27 | % 24.22/6.27 |-The branch is then unsatisfiable % 24.22/6.27 |-Branch two: % 24.22/6.27 | (745) ~ (all_0_40_40 = e0) % 24.22/6.27 | (754) all_0_40_40 = e4 | all_0_40_40 = e3 % 24.22/6.27 | % 24.22/6.27 +-Applying beta-rule and splitting (754), into two cases. % 24.22/6.27 |-Branch one: % 24.22/6.27 | (755) all_0_40_40 = e3 % 24.22/6.27 | % 24.22/6.27 | Equations (755) can reduce 425 to: % 24.22/6.27 | (298) $false % 24.22/6.27 | % 24.22/6.27 |-The branch is then unsatisfiable % 24.22/6.27 |-Branch two: % 24.22/6.27 | (425) ~ (all_0_40_40 = e3) % 24.22/6.27 | (479) all_0_40_40 = e4 % 24.22/6.27 | % 24.22/6.27 | Equations (479) can reduce 425 to: % 24.22/6.27 | (184) ~ (e4 = e3) % 24.22/6.27 | % 24.22/6.27 | Equations (479) can reduce 254 to: % 24.22/6.27 | (115) ~ (e4 = e1) % 24.22/6.27 | % 24.22/6.27 | Equations (479) can reduce 745 to: % 24.22/6.27 | (47) ~ (e4 = e0) % 24.22/6.27 | % 24.22/6.27 +-Applying beta-rule and splitting (129), into two cases. % 24.22/6.27 |-Branch one: % 24.22/6.27 | (637) all_0_49_49 = e0 % 24.22/6.27 | % 24.22/6.27 | Equations (637) can reduce 106 to: % 24.22/6.27 | (1073) ~ (all_0_56_56 = e0) % 24.22/6.27 | % 24.22/6.27 | Simplifying 1073 yields: % 24.22/6.27 | (306) ~ (all_0_56_56 = e0) % 24.22/6.27 | % 24.22/6.27 | Equations (637) can reduce 329 to: % 24.22/6.27 | (526) ~ (e1 = e0) % 24.22/6.27 | % 24.22/6.27 | Simplifying 526 yields: % 24.22/6.27 | (231) ~ (e1 = e0) % 24.22/6.27 | % 24.22/6.27 +-Applying beta-rule and splitting (63), into two cases. % 24.22/6.27 |-Branch one: % 24.22/6.27 | (495) all_0_44_44 = e4 % 24.22/6.27 | % 24.22/6.27 | Combining equations (495,1299) yields a new equation: % 24.22/6.27 | (598) e4 = e1 % 24.22/6.27 | % 24.22/6.27 | Simplifying 598 yields: % 24.22/6.27 | (535) e4 = e1 % 24.22/6.27 | % 24.22/6.27 | Equations (535) can reduce 115 to: % 24.22/6.27 | (298) $false % 24.22/6.27 | % 24.22/6.27 |-The branch is then unsatisfiable % 24.22/6.27 |-Branch two: % 24.22/6.27 | (610) ~ (all_0_44_44 = e4) % 24.22/6.27 | (615) all_0_49_49 = e4 | all_0_56_56 = e4 % 24.22/6.27 | % 24.22/6.27 +-Applying beta-rule and splitting (226), into two cases. % 24.22/6.27 |-Branch one: % 24.22/6.27 | (506) all_0_49_49 = e4 % 24.22/6.27 | % 24.22/6.27 | Combining equations (506,637) yields a new equation: % 24.22/6.27 | (480) e4 = e0 % 24.22/6.27 | % 24.22/6.27 | Simplifying 480 yields: % 24.22/6.27 | (481) e4 = e0 % 24.22/6.27 | % 24.22/6.27 | Equations (481) can reduce 47 to: % 24.22/6.27 | (298) $false % 24.22/6.27 | % 24.22/6.27 |-The branch is then unsatisfiable % 24.22/6.27 |-Branch two: % 24.22/6.27 | (497) ~ (all_0_49_49 = e4) % 24.22/6.27 | (509) all_0_50_50 = e4 | all_0_52_52 = e4 % 24.22/6.27 | % 24.22/6.27 | Equations (637) can reduce 497 to: % 24.22/6.27 | (485) ~ (e4 = e0) % 24.22/6.27 | % 24.22/6.27 | Simplifying 485 yields: % 24.22/6.27 | (47) ~ (e4 = e0) % 24.22/6.27 | % 24.22/6.27 +-Applying beta-rule and splitting (141), into two cases. % 24.22/6.27 |-Branch one: % 24.22/6.27 | (653) all_0_56_56 = e0 % 24.22/6.27 | % 24.22/6.27 | Equations (653) can reduce 306 to: % 24.22/6.27 | (298) $false % 24.22/6.27 | % 24.22/6.27 |-The branch is then unsatisfiable % 24.22/6.27 |-Branch two: % 24.22/6.27 | (306) ~ (all_0_56_56 = e0) % 24.22/6.27 | (2992) all_0_57_57 = e0 | all_0_59_59 = e0 | all_0_60_60 = e0 % 24.22/6.27 | % 24.22/6.27 +-Applying beta-rule and splitting (70), into two cases. % 24.22/6.27 |-Branch one: % 24.22/6.27 | (314) all_0_56_56 = e1 % 24.22/6.27 | % 24.22/6.27 | Equations (314) can reduce 279 to: % 24.22/6.27 | (298) $false % 24.22/6.27 | % 24.22/6.27 |-The branch is then unsatisfiable % 24.22/6.27 |-Branch two: % 24.22/6.27 | (279) ~ (all_0_56_56 = e1) % 24.22/6.27 | (1499) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0 % 24.22/6.27 | % 24.22/6.27 +-Applying beta-rule and splitting (4), into two cases. % 24.22/6.27 |-Branch one: % 24.22/6.27 | (755) all_0_40_40 = e3 % 24.22/6.27 | % 24.22/6.27 | Combining equations (755,479) yields a new equation: % 24.22/6.27 | (392) e4 = e3 % 24.22/6.27 | % 24.22/6.27 | Equations (392) can reduce 184 to: % 24.22/6.27 | (298) $false % 24.22/6.27 | % 24.22/6.27 |-The branch is then unsatisfiable % 24.22/6.27 |-Branch two: % 24.22/6.27 | (425) ~ (all_0_40_40 = e3) % 24.22/6.27 | (1265) all_0_45_45 = e3 | all_0_54_54 = e3 | all_0_57_57 = e3 % 24.22/6.27 | % 24.22/6.27 +-Applying beta-rule and splitting (237), into two cases. % 24.22/6.27 |-Branch one: % 24.22/6.27 | (390) all_0_56_56 = e4 % 24.22/6.27 | % 24.22/6.27 | Equations (390) can reduce 152 to: % 24.22/6.27 | (1980) ~ (all_0_57_57 = e4) % 24.22/6.27 | % 24.22/6.27 | Simplifying 1980 yields: % 24.22/6.27 | (411) ~ (all_0_57_57 = e4) % 24.22/6.27 | % 24.22/6.27 | Equations (390) can reduce 890 to: % 24.22/6.27 | (184) ~ (e4 = e3) % 24.22/6.27 | % 24.22/6.27 | Equations (390) can reduce 279 to: % 24.22/6.27 | (115) ~ (e4 = e1) % 24.22/6.27 | % 24.22/6.27 | Equations (390) can reduce 306 to: % 24.22/6.27 | (47) ~ (e4 = e0) % 24.22/6.27 | % 24.22/6.27 | From (390) and (48) follows: % 24.22/6.27 | (1387) op(e0, e4) = e4 % 24.22/6.27 | % 24.22/6.27 +-Applying beta-rule and splitting (96), into two cases. % 24.22/6.27 |-Branch one: % 24.22/6.27 | (376) all_0_56_56 = e3 % 24.22/6.27 | % 24.22/6.27 | Combining equations (376,390) yields a new equation: % 24.22/6.27 | (392) e4 = e3 % 24.22/6.27 | % 24.22/6.27 | Equations (392) can reduce 184 to: % 24.22/6.27 | (298) $false % 24.22/6.27 | % 24.22/6.27 |-The branch is then unsatisfiable % 24.22/6.27 |-Branch two: % 24.22/6.27 | (890) ~ (all_0_56_56 = e3) % 24.22/6.27 | (891) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 24.22/6.27 | % 24.22/6.27 +-Applying beta-rule and splitting (45), into two cases. % 24.22/6.27 |-Branch one: % 24.22/6.27 | (520) all_0_43_43 = e4 % 24.22/6.27 | % 24.22/6.27 | Combining equations (520,1253) yields a new equation: % 24.22/6.27 | (480) e4 = e0 % 24.22/6.27 | % 24.22/6.27 | Simplifying 480 yields: % 24.22/6.27 | (481) e4 = e0 % 24.22/6.27 | % 24.22/6.27 | Equations (481) can reduce 47 to: % 24.22/6.27 | (298) $false % 24.22/6.27 | % 24.22/6.27 |-The branch is then unsatisfiable % 24.22/6.27 |-Branch two: % 24.22/6.27 | (601) ~ (all_0_43_43 = e4) % 24.22/6.27 | (602) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_60_60 = e4 % 24.22/6.27 | % 24.22/6.27 +-Applying beta-rule and splitting (2378), into two cases. % 24.22/6.27 |-Branch one: % 24.22/6.27 | (2627) all_0_59_59 = e0 % 24.22/6.27 | % 24.22/6.27 | Equations (2627) can reduce 910 to: % 24.22/6.27 | (620) ~ (e3 = e0) % 24.22/6.27 | % 24.22/6.27 | Simplifying 620 yields: % 24.22/6.27 | (84) ~ (e3 = e0) % 24.22/6.27 | % 24.22/6.27 | Equations (2627) can reduce 2156 to: % 24.22/6.27 | (526) ~ (e1 = e0) % 24.22/6.27 | % 24.22/6.27 | Simplifying 526 yields: % 24.22/6.27 | (231) ~ (e1 = e0) % 24.22/6.27 | % 24.22/6.27 +-Applying beta-rule and splitting (891), into two cases. % 24.22/6.27 |-Branch one: % 24.22/6.27 | (902) all_0_57_57 = e3 % 24.22/6.27 | % 24.22/6.27 | Equations (902) can reduce 411 to: % 24.22/6.27 | (472) ~ (e4 = e3) % 24.22/6.27 | % 24.22/6.27 | Simplifying 472 yields: % 24.22/6.27 | (184) ~ (e4 = e3) % 24.22/6.27 | % 24.22/6.27 +-Applying beta-rule and splitting (602), into two cases. % 24.22/6.27 |-Branch one: % 24.22/6.27 | (687) all_0_48_48 = e4 % 24.22/6.27 | % 24.22/6.27 | Combining equations (687,491) yields a new equation: % 24.22/6.27 | (391) e4 = e3 % 24.22/6.27 | % 24.22/6.27 | Simplifying 391 yields: % 24.22/6.27 | (392) e4 = e3 % 24.22/6.27 | % 24.22/6.27 | Equations (392) can reduce 184 to: % 24.22/6.27 | (298) $false % 24.22/6.27 | % 24.22/6.27 |-The branch is then unsatisfiable % 24.22/6.27 |-Branch two: % 24.22/6.27 | (690) ~ (all_0_48_48 = e4) % 24.22/6.27 | (691) all_0_52_52 = e4 | all_0_60_60 = e4 % 24.22/6.27 | % 24.22/6.27 +-Applying beta-rule and splitting (691), into two cases. % 24.22/6.27 |-Branch one: % 24.22/6.27 | (597) all_0_52_52 = e4 % 24.22/6.27 | % 24.22/6.27 | From (597) and (217) follows: % 24.22/6.27 | (2643) op(e2, e0) = e4 % 24.22/6.27 | % 24.22/6.27 +-Applying beta-rule and splitting (55), into two cases. % 24.22/6.27 |-Branch one: % 24.22/6.27 | (529) unit = e1 % 24.22/6.27 | % 24.22/6.27 | From (529) and (162) follows: % 24.22/6.27 | (3923) op(e1, e4) = e4 % 24.22/6.27 | % 24.22/6.27 | From (529) and (60) follows: % 24.22/6.27 | (1391) op(e1, e0) = e0 % 24.22/6.27 | % 24.22/6.27 | From (529) and (74) follows: % 24.22/6.27 | (531) op(e3, e1) = e3 % 24.22/6.27 | % 24.22/6.27 | From (529) and (221) follows: % 24.22/6.27 | (532) op(e1, e1) = e1 % 24.22/6.27 | % 24.22/6.27 | Instantiating formula (206) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields: % 24.22/6.27 | (567) e3 = e2 % 24.22/6.27 | % 24.22/6.27 | Instantiating formula (206) with e1, e4, e4, e3 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e3, yields: % 24.22/6.27 | (392) e4 = e3 % 24.22/6.27 | % 24.22/6.27 | Instantiating formula (206) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 24.22/6.27 | (535) e4 = e1 % 24.22/6.27 | % 24.22/6.27 | Instantiating formula (206) with e1, e0, e0, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e0, yields: % 24.22/6.27 | (569) e2 = e0 % 24.22/6.27 | % 24.22/6.27 | Combining equations (392,535) yields a new equation: % 24.22/6.27 | (1084) e3 = e1 % 24.22/6.27 | % 24.22/6.27 | Simplifying 1084 yields: % 24.22/6.27 | (420) e3 = e1 % 24.22/6.27 | % 24.22/6.27 | Combining equations (420,567) yields a new equation: % 24.22/6.27 | (544) e2 = e1 % 24.22/6.27 | % 24.22/6.27 | Combining equations (544,569) yields a new equation: % 24.22/6.27 | (296) e1 = e0 % 24.22/6.27 | % 24.22/6.27 | Simplifying 296 yields: % 24.22/6.27 | (297) e1 = e0 % 24.22/6.27 | % 24.22/6.27 | Equations (297) can reduce 231 to: % 24.22/6.27 | (298) $false % 24.22/6.27 | % 24.22/6.27 |-The branch is then unsatisfiable % 24.22/6.27 |-Branch two: % 24.22/6.27 | (540) ~ (unit = e1) % 24.22/6.27 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 24.22/6.27 | % 24.22/6.27 +-Applying beta-rule and splitting (541), into two cases. % 24.22/6.27 |-Branch one: % 24.22/6.27 | (542) unit = e0 % 24.22/6.27 | % 24.22/6.27 | Equations (542) can reduce 540 to: % 24.22/6.27 | (526) ~ (e1 = e0) % 24.22/6.27 | % 24.22/6.27 | Simplifying 526 yields: % 24.22/6.27 | (231) ~ (e1 = e0) % 24.22/6.27 | % 24.22/6.27 | From (542) and (243) follows: % 24.22/6.27 | (522) op(e4, e0) = e4 % 24.22/6.27 | % 24.22/6.27 | From (542) and (66) follows: % 24.22/6.27 | (2384) op(e2, e0) = e2 % 24.22/6.27 | % 24.22/6.27 | From (542) and (221) follows: % 24.22/6.27 | (543) op(e1, e0) = e1 % 24.22/6.27 | % 24.22/6.27 | Instantiating formula (206) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 24.22/6.27 | (481) e4 = e0 % 24.22/6.27 | % 24.22/6.27 | Instantiating formula (206) with e2, e0, e2, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e2, yields: % 24.22/6.27 | (409) e4 = e2 % 24.22/6.27 | % 24.22/6.27 | Instantiating formula (206) with e1, e0, e1, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e1, yields: % 24.22/6.27 | (544) e2 = e1 % 24.22/6.27 | % 24.22/6.27 | Combining equations (481,409) yields a new equation: % 24.22/6.27 | (569) e2 = e0 % 24.22/6.27 | % 24.22/6.27 | Combining equations (569,544) yields a new equation: % 24.22/6.27 | (297) e1 = e0 % 24.22/6.27 | % 24.22/6.27 | Equations (297) can reduce 231 to: % 24.22/6.27 | (298) $false % 24.22/6.27 | % 24.22/6.27 |-The branch is then unsatisfiable % 24.22/6.27 |-Branch two: % 24.22/6.27 | (546) ~ (unit = e0) % 24.22/6.27 | (547) unit = e4 | unit = e3 | unit = e2 % 24.22/6.27 | % 24.22/6.27 +-Applying beta-rule and splitting (547), into two cases. % 24.22/6.27 |-Branch one: % 24.22/6.27 | (548) unit = e3 % 24.22/6.27 | % 24.22/6.27 | From (548) and (162) follows: % 24.22/6.27 | (499) op(e3, e4) = e4 % 24.22/6.27 | % 24.22/6.27 | From (548) and (24) follows: % 24.22/6.27 | (1180) op(e3, e2) = e2 % 24.22/6.27 | % 24.22/6.27 | Instantiating formula (206) with e3, e4, e4, e1 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e1, yields: % 24.22/6.27 | (535) e4 = e1 % 24.22/6.27 | % 24.22/6.27 | Instantiating formula (206) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields: % 24.22/6.27 | (409) e4 = e2 % 24.22/6.27 | % 24.22/6.27 | Combining equations (409,535) yields a new equation: % 24.22/6.27 | (887) e2 = e1 % 24.22/6.27 | % 24.22/6.27 | Simplifying 887 yields: % 24.22/6.27 | (544) e2 = e1 % 24.22/6.27 | % 24.22/6.27 | Equations (544) can reduce 134 to: % 24.22/6.27 | (298) $false % 24.22/6.27 | % 24.22/6.27 |-The branch is then unsatisfiable % 24.22/6.27 |-Branch two: % 24.22/6.27 | (555) ~ (unit = e3) % 24.22/6.27 | (556) unit = e4 | unit = e2 % 24.22/6.27 | % 24.22/6.27 +-Applying beta-rule and splitting (556), into two cases. % 24.22/6.27 |-Branch one: % 24.22/6.27 | (557) unit = e4 % 24.22/6.27 | % 24.22/6.27 | From (557) and (24) follows: % 24.22/6.27 | (558) op(e4, e2) = e2 % 24.22/6.27 | % 24.22/6.27 | From (557) and (243) follows: % 24.22/6.27 | (560) op(e4, e4) = e4 % 24.22/6.27 | % 24.22/6.27 | From (557) and (67) follows: % 24.22/6.27 | (812) op(e0, e4) = e0 % 24.22/6.27 | % 24.22/6.27 | Instantiating formula (206) with e4, e4, e4, e2 and discharging atoms op(e4, e4) = e4, op(e4, e4) = e2, yields: % 24.22/6.27 | (409) e4 = e2 % 24.22/6.27 | % 24.22/6.27 | Instantiating formula (206) with e4, e2, e2, e1 and discharging atoms op(e4, e2) = e2, op(e4, e2) = e1, yields: % 24.22/6.27 | (544) e2 = e1 % 24.22/6.27 | % 24.22/6.27 | Instantiating formula (206) with e0, e4, e0, e4 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e0, yields: % 24.22/6.27 | (481) e4 = e0 % 24.22/6.27 | % 24.22/6.27 | Combining equations (409,481) yields a new equation: % 24.22/6.27 | (568) e2 = e0 % 24.22/6.27 | % 24.22/6.27 | Simplifying 568 yields: % 24.22/6.27 | (569) e2 = e0 % 24.22/6.27 | % 24.22/6.27 | Combining equations (544,569) yields a new equation: % 24.22/6.27 | (296) e1 = e0 % 24.22/6.27 | % 24.22/6.27 | Simplifying 296 yields: % 24.22/6.27 | (297) e1 = e0 % 24.22/6.27 | % 24.22/6.27 | Equations (297) can reduce 231 to: % 24.22/6.27 | (298) $false % 24.22/6.27 | % 24.22/6.27 |-The branch is then unsatisfiable % 24.22/6.27 |-Branch two: % 24.22/6.27 | (573) ~ (unit = e4) % 24.22/6.27 | (574) unit = e2 % 24.22/6.27 | % 24.22/6.27 | From (574) and (60) follows: % 24.22/6.27 | (2455) op(e2, e0) = e0 % 24.22/6.27 | % 24.22/6.27 | From (574) and (243) follows: % 24.22/6.27 | (576) op(e4, e2) = e4 % 24.22/6.27 | % 24.22/6.27 | From (574) and (74) follows: % 24.22/6.27 | (1207) op(e3, e2) = e3 % 24.22/6.27 | % 24.22/6.27 | From (574) and (66) follows: % 24.22/6.27 | (577) op(e2, e2) = e2 % 24.22/6.27 | % 24.22/6.27 | Instantiating formula (206) with e4, e2, e4, e1 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e1, yields: % 24.22/6.27 | (535) e4 = e1 % 24.22/6.27 | % 24.22/6.27 | Instantiating formula (206) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 24.22/6.27 | (392) e4 = e3 % 24.22/6.27 | % 24.22/6.27 | Instantiating formula (206) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 24.22/6.27 | (567) e3 = e2 % 24.22/6.27 | % 24.22/6.27 | Instantiating formula (206) with e2, e0, e0, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e0, yields: % 24.22/6.27 | (481) e4 = e0 % 24.22/6.27 | % 24.22/6.27 | Combining equations (535,392) yields a new equation: % 24.22/6.27 | (420) e3 = e1 % 24.22/6.27 | % 24.22/6.27 | Combining equations (481,392) yields a new equation: % 24.22/6.27 | (534) e3 = e0 % 24.22/6.27 | % 24.22/6.27 | Combining equations (534,567) yields a new equation: % 24.22/6.27 | (569) e2 = e0 % 24.22/6.27 | % 24.22/6.28 | Combining equations (420,567) yields a new equation: % 24.22/6.28 | (544) e2 = e1 % 24.22/6.28 | % 24.22/6.28 | Combining equations (544,569) yields a new equation: % 24.22/6.28 | (296) e1 = e0 % 24.22/6.28 | % 24.22/6.28 | Simplifying 296 yields: % 24.22/6.28 | (297) e1 = e0 % 24.22/6.28 | % 24.22/6.28 | Equations (297) can reduce 231 to: % 24.22/6.28 | (298) $false % 24.22/6.28 | % 24.22/6.28 |-The branch is then unsatisfiable % 24.22/6.28 |-Branch two: % 24.22/6.28 | (695) ~ (all_0_52_52 = e4) % 24.22/6.28 | (696) all_0_60_60 = e4 % 24.22/6.28 | % 24.22/6.28 | Combining equations (696,2157) yields a new equation: % 24.22/6.28 | (598) e4 = e1 % 24.22/6.28 | % 24.22/6.28 | Simplifying 598 yields: % 24.22/6.28 | (535) e4 = e1 % 24.22/6.28 | % 24.22/6.28 | Equations (535) can reduce 115 to: % 24.22/6.28 | (298) $false % 24.22/6.28 | % 24.22/6.28 |-The branch is then unsatisfiable % 24.22/6.28 |-Branch two: % 24.22/6.28 | (905) ~ (all_0_57_57 = e3) % 24.22/6.28 | (906) all_0_59_59 = e3 | all_0_60_60 = e3 % 24.22/6.28 | % 24.22/6.28 +-Applying beta-rule and splitting (1265), into two cases. % 24.22/6.28 |-Branch one: % 24.22/6.28 | (1083) all_0_45_45 = e3 % 24.22/6.28 | % 24.22/6.28 | Combining equations (295,1083) yields a new equation: % 24.22/6.28 | (534) e3 = e0 % 24.22/6.28 | % 24.22/6.28 | Equations (534) can reduce 84 to: % 24.22/6.28 | (298) $false % 24.22/6.28 | % 24.22/6.28 |-The branch is then unsatisfiable % 24.22/6.28 |-Branch two: % 24.22/6.28 | (1087) ~ (all_0_45_45 = e3) % 24.22/6.28 | (1271) all_0_54_54 = e3 | all_0_57_57 = e3 % 24.22/6.28 | % 24.22/6.28 +-Applying beta-rule and splitting (1271), into two cases. % 24.22/6.28 |-Branch one: % 24.22/6.28 | (424) all_0_54_54 = e3 % 24.22/6.28 | % 24.22/6.28 | Combining equations (1669,424) yields a new equation: % 24.22/6.28 | (420) e3 = e1 % 24.22/6.28 | % 24.22/6.28 | Equations (420) can reduce 214 to: % 24.22/6.28 | (298) $false % 24.22/6.28 | % 24.22/6.28 |-The branch is then unsatisfiable % 24.22/6.28 |-Branch two: % 24.22/6.28 | (875) ~ (all_0_54_54 = e3) % 24.22/6.28 | (902) all_0_57_57 = e3 % 24.22/6.28 | % 24.22/6.28 | Equations (902) can reduce 905 to: % 24.22/6.28 | (298) $false % 24.22/6.28 | % 24.22/6.28 |-The branch is then unsatisfiable % 24.22/6.28 |-Branch two: % 24.22/6.28 | (309) ~ (all_0_59_59 = e0) % 24.22/6.28 | (2774) all_0_59_59 = e3 | all_0_59_59 = e2 % 24.22/6.28 | % 24.22/6.28 +-Applying beta-rule and splitting (2992), into two cases. % 24.22/6.28 |-Branch one: % 24.22/6.28 | (1242) all_0_57_57 = e0 % 24.22/6.28 | % 24.22/6.28 | Equations (1242) can reduce 307 to: % 24.22/6.28 | (298) $false % 24.22/6.28 | % 24.22/6.28 |-The branch is then unsatisfiable % 24.22/6.28 |-Branch two: % 24.22/6.28 | (307) ~ (all_0_57_57 = e0) % 24.22/6.28 | (6364) all_0_59_59 = e0 | all_0_60_60 = e0 % 24.22/6.28 | % 24.22/6.28 +-Applying beta-rule and splitting (6364), into two cases. % 24.22/6.28 |-Branch one: % 24.22/6.28 | (2627) all_0_59_59 = e0 % 24.22/6.28 | % 24.22/6.28 | Equations (2627) can reduce 309 to: % 24.22/6.28 | (298) $false % 24.22/6.28 | % 24.22/6.28 |-The branch is then unsatisfiable % 24.22/6.28 |-Branch two: % 24.22/6.28 | (309) ~ (all_0_59_59 = e0) % 24.22/6.28 | (300) all_0_60_60 = e0 % 24.22/6.28 | % 24.22/6.28 | Combining equations (300,2157) yields a new equation: % 24.22/6.28 | (297) e1 = e0 % 24.22/6.28 | % 24.22/6.28 | Equations (297) can reduce 231 to: % 24.22/6.28 | (298) $false % 24.22/6.28 | % 24.22/6.28 |-The branch is then unsatisfiable % 24.22/6.28 |-Branch two: % 24.22/6.28 | (394) ~ (all_0_56_56 = e4) % 24.22/6.28 | (395) all_0_57_57 = e4 | all_0_58_58 = e4 | all_0_60_60 = e4 % 24.22/6.28 | % 24.22/6.28 +-Applying beta-rule and splitting (45), into two cases. % 24.22/6.28 |-Branch one: % 24.22/6.28 | (520) all_0_43_43 = e4 % 24.22/6.28 | % 24.22/6.28 | Combining equations (520,1253) yields a new equation: % 24.22/6.28 | (480) e4 = e0 % 24.22/6.28 | % 24.22/6.28 | Simplifying 480 yields: % 24.22/6.28 | (481) e4 = e0 % 24.22/6.28 | % 24.22/6.28 | Equations (481) can reduce 47 to: % 24.22/6.28 | (298) $false % 24.22/6.28 | % 24.22/6.28 |-The branch is then unsatisfiable % 24.22/6.28 |-Branch two: % 24.22/6.28 | (601) ~ (all_0_43_43 = e4) % 24.22/6.28 | (602) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_60_60 = e4 % 24.22/6.28 | % 24.22/6.28 | Equations (1253) can reduce 601 to: % 24.22/6.28 | (485) ~ (e4 = e0) % 24.22/6.28 | % 24.22/6.28 | Simplifying 485 yields: % 24.22/6.28 | (47) ~ (e4 = e0) % 24.22/6.28 | % 24.22/6.28 +-Applying beta-rule and splitting (615), into two cases. % 24.22/6.28 |-Branch one: % 24.22/6.28 | (506) all_0_49_49 = e4 % 24.22/6.28 | % 24.22/6.28 | Combining equations (506,637) yields a new equation: % 24.22/6.28 | (480) e4 = e0 % 24.22/6.28 | % 24.22/6.28 | Simplifying 480 yields: % 24.22/6.28 | (481) e4 = e0 % 24.22/6.28 | % 24.22/6.28 | Equations (481) can reduce 47 to: % 24.22/6.28 | (298) $false % 24.22/6.28 | % 24.22/6.28 |-The branch is then unsatisfiable % 24.22/6.28 |-Branch two: % 24.22/6.28 | (497) ~ (all_0_49_49 = e4) % 24.22/6.28 | (390) all_0_56_56 = e4 % 24.22/6.28 | % 24.22/6.28 | Equations (390) can reduce 394 to: % 24.22/6.28 | (298) $false % 24.22/6.28 | % 24.22/6.28 |-The branch is then unsatisfiable % 24.22/6.28 |-Branch two: % 24.22/6.28 | (652) ~ (all_0_49_49 = e0) % 24.22/6.28 | (682) all_0_50_50 = e0 | all_0_51_51 = e0 | all_0_52_52 = e0 % 24.22/6.28 | % 24.22/6.28 +-Applying beta-rule and splitting (2378), into two cases. % 24.22/6.28 |-Branch one: % 24.22/6.28 | (2627) all_0_59_59 = e0 % 24.22/6.28 | % 24.22/6.28 | Equations (2627) can reduce 123 to: % 24.22/6.28 | (485) ~ (e4 = e0) % 24.22/6.28 | % 24.22/6.28 | Simplifying 485 yields: % 24.22/6.28 | (47) ~ (e4 = e0) % 24.22/6.28 | % 24.22/6.28 +-Applying beta-rule and splitting (45), into two cases. % 24.22/6.28 |-Branch one: % 24.22/6.28 | (520) all_0_43_43 = e4 % 24.22/6.28 | % 24.22/6.28 | Combining equations (520,1253) yields a new equation: % 24.22/6.28 | (480) e4 = e0 % 24.22/6.28 | % 24.22/6.28 | Simplifying 480 yields: % 24.22/6.28 | (481) e4 = e0 % 24.22/6.28 | % 24.22/6.28 | Equations (481) can reduce 47 to: % 24.22/6.28 | (298) $false % 24.22/6.28 | % 24.22/6.28 |-The branch is then unsatisfiable % 24.22/6.28 |-Branch two: % 24.22/6.28 | (601) ~ (all_0_43_43 = e4) % 24.22/6.28 | (602) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_60_60 = e4 % 24.22/6.28 | % 24.22/6.28 +-Applying beta-rule and splitting (602), into two cases. % 24.22/6.28 |-Branch one: % 24.22/6.28 | (687) all_0_48_48 = e4 % 24.22/6.28 | % 24.22/6.28 | Combining equations (491,687) yields a new equation: % 24.22/6.28 | (392) e4 = e3 % 24.22/6.28 | % 24.22/6.28 | Equations (392) can reduce 184 to: % 24.22/6.28 | (298) $false % 24.22/6.28 | % 24.22/6.28 |-The branch is then unsatisfiable % 24.22/6.28 |-Branch two: % 24.22/6.28 | (690) ~ (all_0_48_48 = e4) % 24.22/6.28 | (691) all_0_52_52 = e4 | all_0_60_60 = e4 % 24.22/6.28 | % 24.22/6.28 +-Applying beta-rule and splitting (691), into two cases. % 24.22/6.28 |-Branch one: % 24.22/6.28 | (597) all_0_52_52 = e4 % 24.22/6.28 | % 24.22/6.28 | Equations (597) can reduce 44 to: % 24.22/6.28 | (497) ~ (all_0_49_49 = e4) % 24.22/6.28 | % 24.22/6.28 +-Applying beta-rule and splitting (460), into two cases. % 24.22/6.28 |-Branch one: % 24.22/6.28 | (637) all_0_49_49 = e0 % 24.22/6.28 | % 24.22/6.28 | Equations (637) can reduce 652 to: % 24.22/6.28 | (298) $false % 24.22/6.28 | % 24.22/6.28 |-The branch is then unsatisfiable % 24.22/6.28 |-Branch two: % 24.22/6.28 | (652) ~ (all_0_49_49 = e0) % 24.22/6.28 | (506) all_0_49_49 = e4 % 24.22/6.28 | % 24.22/6.28 | Equations (506) can reduce 497 to: % 24.22/6.28 | (298) $false % 24.22/6.28 | % 24.22/6.28 |-The branch is then unsatisfiable % 24.22/6.28 |-Branch two: % 24.22/6.28 | (695) ~ (all_0_52_52 = e4) % 24.22/6.28 | (696) all_0_60_60 = e4 % 24.22/6.28 | % 24.22/6.28 | Combining equations (2157,696) yields a new equation: % 24.22/6.28 | (535) e4 = e1 % 24.22/6.28 | % 24.22/6.28 | Equations (535) can reduce 115 to: % 24.22/6.28 | (298) $false % 24.22/6.28 | % 24.22/6.28 |-The branch is then unsatisfiable % 24.22/6.28 |-Branch two: % 24.22/6.28 | (309) ~ (all_0_59_59 = e0) % 24.22/6.28 | (2774) all_0_59_59 = e3 | all_0_59_59 = e2 % 24.22/6.28 | % 24.22/6.28 +-Applying beta-rule and splitting (2774), into two cases. % 24.22/6.28 |-Branch one: % 24.22/6.28 | (907) all_0_59_59 = e3 % 24.22/6.28 | % 24.22/6.28 | Equations (907) can reduce 910 to: % 24.22/6.28 | (298) $false % 24.22/6.28 | % 24.22/6.28 |-The branch is then unsatisfiable % 24.22/6.28 |-Branch two: % 24.22/6.28 | (910) ~ (all_0_59_59 = e3) % 24.22/6.28 | (886) all_0_59_59 = e2 % 24.22/6.28 | % 24.22/6.28 | Equations (886) can reduce 963 to: % 24.22/6.28 | (298) $false % 24.22/6.28 | % 24.22/6.28 |-The branch is then unsatisfiable % 24.22/6.28 |-Branch two: % 24.22/6.28 | (847) ~ (all_0_42_42 = e3) % 24.22/6.28 | (1512) all_0_47_47 = e3 | all_0_59_59 = e3 % 24.22/6.28 | % 24.22/6.28 +-Applying beta-rule and splitting (1512), into two cases. % 24.22/6.28 |-Branch one: % 24.22/6.28 | (591) all_0_47_47 = e3 % 24.22/6.28 | % 24.22/6.28 | Combining equations (591,368) yields a new equation: % 24.22/6.28 | (877) e3 = e2 % 24.22/6.28 | % 24.22/6.28 | Simplifying 877 yields: % 24.22/6.28 | (567) e3 = e2 % 24.22/6.28 | % 24.22/6.28 | Equations (567) can reduce 213 to: % 24.22/6.28 | (298) $false % 24.22/6.28 | % 24.22/6.28 |-The branch is then unsatisfiable % 24.22/6.28 |-Branch two: % 24.22/6.28 | (493) ~ (all_0_47_47 = e3) % 24.22/6.28 | (907) all_0_59_59 = e3 % 24.22/6.28 | % 24.22/6.28 | Equations (907) can reduce 118 to: % 24.22/6.28 | (847) ~ (all_0_42_42 = e3) % 24.22/6.28 | % 24.22/6.28 | Equations (907) can reduce 99 to: % 24.22/6.28 | (890) ~ (all_0_56_56 = e3) % 24.22/6.28 | % 24.22/6.28 | Equations (907) can reduce 123 to: % 24.22/6.28 | (472) ~ (e4 = e3) % 24.22/6.28 | % 24.22/6.28 | Simplifying 472 yields: % 24.22/6.28 | (184) ~ (e4 = e3) % 24.22/6.28 | % 24.22/6.28 +-Applying beta-rule and splitting (23), into two cases. % 24.22/6.28 |-Branch one: % 24.22/6.28 | (755) all_0_40_40 = e3 % 24.22/6.28 | % 24.22/6.28 | Equations (755) can reduce 204 to: % 24.22/6.28 | (1539) ~ (all_0_42_42 = e3) % 24.22/6.28 | % 24.22/6.28 | Simplifying 1539 yields: % 24.22/6.28 | (847) ~ (all_0_42_42 = e3) % 24.22/6.28 | % 24.22/6.28 +-Applying beta-rule and splitting (216), into two cases. % 24.22/6.28 |-Branch one: % 24.22/6.28 | (479) all_0_40_40 = e4 % 24.22/6.28 | % 24.22/6.28 | Combining equations (479,755) yields a new equation: % 24.22/6.28 | (391) e4 = e3 % 24.22/6.28 | % 24.22/6.28 | Simplifying 391 yields: % 24.22/6.28 | (392) e4 = e3 % 24.22/6.28 | % 24.22/6.28 | Equations (392) can reduce 184 to: % 24.22/6.28 | (298) $false % 24.22/6.28 | % 24.22/6.28 |-The branch is then unsatisfiable % 24.22/6.28 |-Branch two: % 24.22/6.28 | (483) ~ (all_0_40_40 = e4) % 24.22/6.28 | (515) all_0_41_41 = e4 | all_0_43_43 = e4 % 24.22/6.28 | % 24.22/6.28 +-Applying beta-rule and splitting (141), into two cases. % 24.22/6.28 |-Branch one: % 24.22/6.28 | (653) all_0_56_56 = e0 % 24.22/6.28 | % 24.22/6.28 | Equations (653) can reduce 890 to: % 24.22/6.28 | (620) ~ (e3 = e0) % 24.22/6.28 | % 24.22/6.28 | Simplifying 620 yields: % 24.22/6.28 | (84) ~ (e3 = e0) % 24.22/6.28 | % 24.22/6.28 | Equations (653) can reduce 26 to: % 24.22/6.28 | (782) ~ (e2 = e0) % 24.22/6.28 | % 24.22/6.28 | Simplifying 782 yields: % 24.22/6.28 | (139) ~ (e2 = e0) % 24.22/6.28 | % 24.22/6.28 | Equations (653) can reduce 279 to: % 24.22/6.28 | (526) ~ (e1 = e0) % 24.22/6.28 | % 24.22/6.28 | Simplifying 526 yields: % 24.22/6.28 | (231) ~ (e1 = e0) % 24.22/6.28 | % 24.22/6.28 +-Applying beta-rule and splitting (63), into two cases. % 24.22/6.28 |-Branch one: % 24.22/6.28 | (495) all_0_44_44 = e4 % 24.22/6.28 | % 24.22/6.28 | Combining equations (495,1299) yields a new equation: % 24.22/6.28 | (598) e4 = e1 % 24.22/6.28 | % 24.22/6.28 | Simplifying 598 yields: % 24.22/6.28 | (535) e4 = e1 % 24.22/6.28 | % 24.22/6.28 | Equations (535) can reduce 115 to: % 24.22/6.28 | (298) $false % 24.22/6.28 | % 24.22/6.28 |-The branch is then unsatisfiable % 24.22/6.28 |-Branch two: % 24.22/6.28 | (610) ~ (all_0_44_44 = e4) % 24.22/6.28 | (615) all_0_49_49 = e4 | all_0_56_56 = e4 % 24.22/6.28 | % 24.22/6.28 | Equations (1299) can reduce 610 to: % 24.22/6.28 | (347) ~ (e4 = e1) % 24.22/6.28 | % 24.22/6.28 | Simplifying 347 yields: % 24.22/6.28 | (115) ~ (e4 = e1) % 24.22/6.28 | % 24.22/6.28 +-Applying beta-rule and splitting (237), into two cases. % 24.22/6.28 |-Branch one: % 24.22/6.28 | (390) all_0_56_56 = e4 % 24.22/6.28 | % 24.22/6.28 | Combining equations (653,390) yields a new equation: % 24.22/6.28 | (481) e4 = e0 % 24.22/6.28 | % 24.22/6.28 | Equations (481) can reduce 47 to: % 24.22/6.28 | (298) $false % 24.22/6.28 | % 24.22/6.28 |-The branch is then unsatisfiable % 24.22/6.28 |-Branch two: % 24.22/6.28 | (394) ~ (all_0_56_56 = e4) % 24.22/6.28 | (395) all_0_57_57 = e4 | all_0_58_58 = e4 | all_0_60_60 = e4 % 24.22/6.28 | % 24.22/6.28 +-Applying beta-rule and splitting (101), into two cases. % 24.22/6.28 |-Branch one: % 24.22/6.28 | (466) all_0_42_42 = e0 % 24.22/6.28 | % 24.22/6.28 | Equations (466) can reduce 20 to: % 24.22/6.28 | (464) ~ (all_0_43_43 = e0) % 24.22/6.28 | % 24.22/6.28 | Simplifying 464 yields: % 24.22/6.28 | (301) ~ (all_0_43_43 = e0) % 24.22/6.28 | % 24.22/6.28 | Equations (466) can reduce 847 to: % 24.22/6.28 | (620) ~ (e3 = e0) % 24.22/6.28 | % 24.22/6.28 | Simplifying 620 yields: % 24.22/6.28 | (84) ~ (e3 = e0) % 24.22/6.28 | % 24.22/6.28 | Equations (466) can reduce 256 to: % 24.22/6.28 | (526) ~ (e1 = e0) % 24.22/6.28 | % 24.22/6.28 | Simplifying 526 yields: % 24.22/6.28 | (231) ~ (e1 = e0) % 24.22/6.28 | % 24.22/6.28 +-Applying beta-rule and splitting (12), into two cases. % 24.22/6.28 |-Branch one: % 24.22/6.28 | (1253) all_0_43_43 = e0 % 24.22/6.28 | % 24.22/6.28 | Equations (1253) can reduce 301 to: % 24.22/6.28 | (298) $false % 24.22/6.28 | % 24.22/6.28 |-The branch is then unsatisfiable % 24.22/6.28 |-Branch two: % 24.22/6.28 | (301) ~ (all_0_43_43 = e0) % 24.22/6.28 | (2731) all_0_48_48 = e0 | all_0_52_52 = e0 | all_0_60_60 = e0 % 24.22/6.28 | % 24.22/6.28 +-Applying beta-rule and splitting (395), into two cases. % 24.22/6.28 |-Branch one: % 24.22/6.28 | (407) all_0_57_57 = e4 % 24.22/6.28 | % 24.22/6.28 | From (407) and (150) follows: % 24.22/6.28 | (1160) op(e0, e3) = e4 % 24.22/6.28 | % 24.22/6.28 +-Applying beta-rule and splitting (2731), into two cases. % 24.22/6.28 |-Branch one: % 24.22/6.28 | (717) all_0_48_48 = e0 % 24.22/6.28 | % 24.22/6.28 | Combining equations (491,717) yields a new equation: % 24.22/6.28 | (654) e3 = e0 % 24.22/6.28 | % 24.22/6.28 | Simplifying 654 yields: % 24.22/6.28 | (534) e3 = e0 % 24.22/6.28 | % 24.22/6.28 | Equations (534) can reduce 84 to: % 24.22/6.28 | (298) $false % 24.22/6.28 | % 24.22/6.28 |-The branch is then unsatisfiable % 24.22/6.28 |-Branch two: % 24.22/6.28 | (303) ~ (all_0_48_48 = e0) % 24.22/6.28 | (2886) all_0_52_52 = e0 | all_0_60_60 = e0 % 24.22/6.28 | % 24.22/6.28 +-Applying beta-rule and splitting (2886), into two cases. % 24.22/6.28 |-Branch one: % 24.22/6.28 | (2078) all_0_52_52 = e0 % 24.22/6.28 | % 24.22/6.28 | Equations (2078) can reduce 44 to: % 24.22/6.28 | (652) ~ (all_0_49_49 = e0) % 24.22/6.28 | % 24.22/6.29 | Equations (2078) can reduce 2161 to: % 24.22/6.29 | (526) ~ (e1 = e0) % 24.22/6.29 | % 24.22/6.29 | Simplifying 526 yields: % 24.22/6.29 | (231) ~ (e1 = e0) % 24.22/6.29 | % 24.22/6.29 | From (2078) and (217) follows: % 24.22/6.29 | (2455) op(e2, e0) = e0 % 24.22/6.29 | % 24.22/6.29 +-Applying beta-rule and splitting (226), into two cases. % 24.22/6.29 |-Branch one: % 24.22/6.29 | (506) all_0_49_49 = e4 % 24.22/6.29 | % 24.22/6.29 | Equations (506) can reduce 329 to: % 24.22/6.29 | (115) ~ (e4 = e1) % 24.22/6.29 | % 24.22/6.29 | From (506) and (110) follows: % 24.22/6.29 | (767) op(e2, e4) = e4 % 24.22/6.29 | % 24.22/6.29 +-Applying beta-rule and splitting (515), into two cases. % 24.22/6.29 |-Branch one: % 24.22/6.29 | (603) all_0_41_41 = e4 % 24.22/6.29 | % 24.22/6.29 | Combining equations (603,253) yields a new equation: % 24.22/6.29 | (598) e4 = e1 % 24.22/6.29 | % 24.22/6.29 | Simplifying 598 yields: % 24.22/6.29 | (535) e4 = e1 % 24.22/6.29 | % 24.22/6.29 | Equations (535) can reduce 115 to: % 24.22/6.29 | (298) $false % 24.22/6.29 | % 24.22/6.29 |-The branch is then unsatisfiable % 24.22/6.29 |-Branch two: % 24.22/6.29 | (607) ~ (all_0_41_41 = e4) % 24.22/6.29 | (520) all_0_43_43 = e4 % 24.22/6.29 | % 24.22/6.29 | From (520) and (34) follows: % 24.22/6.29 | (522) op(e4, e0) = e4 % 24.22/6.29 | % 24.22/6.29 +-Applying beta-rule and splitting (55), into two cases. % 24.22/6.29 |-Branch one: % 24.22/6.29 | (529) unit = e1 % 24.22/6.29 | % 24.22/6.29 | From (529) and (162) follows: % 24.22/6.29 | (3923) op(e1, e4) = e4 % 24.22/6.29 | % 24.22/6.29 | From (529) and (60) follows: % 24.22/6.29 | (1391) op(e1, e0) = e0 % 24.22/6.29 | % 24.22/6.29 | From (529) and (74) follows: % 24.22/6.29 | (531) op(e3, e1) = e3 % 24.22/6.29 | % 24.22/6.29 | From (529) and (221) follows: % 24.22/6.29 | (532) op(e1, e1) = e1 % 24.22/6.29 | % 24.22/6.29 | Instantiating formula (206) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields: % 24.22/6.29 | (567) e3 = e2 % 24.22/6.29 | % 24.22/6.29 | Instantiating formula (206) with e1, e4, e4, e3 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e3, yields: % 24.22/6.29 | (392) e4 = e3 % 24.22/6.29 | % 24.22/6.29 | Instantiating formula (206) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 24.22/6.29 | (535) e4 = e1 % 24.22/6.29 | % 24.22/6.29 | Instantiating formula (206) with e1, e0, e0, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e0, yields: % 24.22/6.29 | (569) e2 = e0 % 24.22/6.29 | % 24.22/6.29 | Combining equations (535,392) yields a new equation: % 24.22/6.29 | (420) e3 = e1 % 24.22/6.29 | % 24.22/6.29 | Combining equations (567,420) yields a new equation: % 24.22/6.29 | (887) e2 = e1 % 24.22/6.29 | % 24.22/6.29 | Simplifying 887 yields: % 24.22/6.29 | (544) e2 = e1 % 24.22/6.29 | % 24.22/6.29 | Combining equations (544,569) yields a new equation: % 24.22/6.29 | (296) e1 = e0 % 24.22/6.29 | % 24.22/6.29 | Simplifying 296 yields: % 24.22/6.29 | (297) e1 = e0 % 24.22/6.29 | % 24.22/6.29 | Equations (297) can reduce 231 to: % 24.22/6.29 | (298) $false % 24.22/6.29 | % 24.22/6.29 |-The branch is then unsatisfiable % 24.22/6.29 |-Branch two: % 24.22/6.29 | (540) ~ (unit = e1) % 24.22/6.29 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 24.22/6.29 | % 24.22/6.29 +-Applying beta-rule and splitting (541), into two cases. % 24.22/6.29 |-Branch one: % 24.22/6.29 | (542) unit = e0 % 24.22/6.29 | % 24.22/6.29 | Equations (542) can reduce 540 to: % 24.22/6.29 | (526) ~ (e1 = e0) % 24.22/6.29 | % 24.22/6.29 | Simplifying 526 yields: % 24.22/6.29 | (231) ~ (e1 = e0) % 24.22/6.29 | % 24.22/6.29 | From (542) and (66) follows: % 24.22/6.29 | (2384) op(e2, e0) = e2 % 24.22/6.29 | % 24.22/6.29 | From (542) and (221) follows: % 24.22/6.29 | (543) op(e1, e0) = e1 % 24.22/6.29 | % 24.22/6.29 | Instantiating formula (206) with e2, e0, e2, e0 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 24.22/6.29 | (569) e2 = e0 % 24.22/6.29 | % 24.22/6.29 | Instantiating formula (206) with e1, e0, e1, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e1, yields: % 24.22/6.29 | (544) e2 = e1 % 24.22/6.29 | % 24.22/6.29 | Combining equations (569,544) yields a new equation: % 24.22/6.29 | (297) e1 = e0 % 24.22/6.29 | % 24.22/6.29 | Equations (297) can reduce 231 to: % 24.22/6.29 | (298) $false % 24.22/6.29 | % 24.22/6.29 |-The branch is then unsatisfiable % 24.22/6.29 |-Branch two: % 24.22/6.29 | (546) ~ (unit = e0) % 24.22/6.29 | (547) unit = e4 | unit = e3 | unit = e2 % 24.22/6.29 | % 24.22/6.29 +-Applying beta-rule and splitting (547), into two cases. % 24.22/6.29 |-Branch one: % 24.22/6.29 | (548) unit = e3 % 24.22/6.29 | % 24.22/6.29 | From (548) and (24) follows: % 24.22/6.29 | (1180) op(e3, e2) = e2 % 24.22/6.29 | % 24.22/6.29 | From (548) and (100) follows: % 24.22/6.29 | (1796) op(e3, e1) = e1 % 24.22/6.29 | % 24.22/6.29 | From (548) and (67) follows: % 24.22/6.29 | (803) op(e0, e3) = e0 % 24.22/6.29 | % 24.22/6.29 | Instantiating formula (206) with e3, e2, e2, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e2, yields: % 24.22/6.29 | (409) e4 = e2 % 24.22/6.29 | % 24.22/6.29 | Instantiating formula (206) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 24.22/6.29 | (544) e2 = e1 % 24.22/6.29 | % 24.22/6.29 | Instantiating formula (206) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 24.22/6.29 | (481) e4 = e0 % 24.22/6.29 | % 24.22/6.29 | Combining equations (409,481) yields a new equation: % 24.22/6.29 | (568) e2 = e0 % 24.22/6.29 | % 24.22/6.29 | Simplifying 568 yields: % 24.22/6.29 | (569) e2 = e0 % 24.22/6.29 | % 24.22/6.29 | Combining equations (569,544) yields a new equation: % 24.22/6.29 | (297) e1 = e0 % 24.22/6.29 | % 24.22/6.29 | Equations (297) can reduce 231 to: % 24.22/6.29 | (298) $false % 24.22/6.29 | % 24.22/6.29 |-The branch is then unsatisfiable % 24.22/6.29 |-Branch two: % 24.22/6.29 | (555) ~ (unit = e3) % 24.22/6.29 | (556) unit = e4 | unit = e2 % 24.22/6.29 | % 24.22/6.29 +-Applying beta-rule and splitting (556), into two cases. % 24.22/6.29 |-Branch one: % 24.22/6.29 | (557) unit = e4 % 24.22/6.29 | % 24.22/6.29 | From (557) and (24) follows: % 24.22/6.29 | (558) op(e4, e2) = e2 % 24.22/6.29 | % 24.22/6.29 | From (557) and (60) follows: % 24.22/6.29 | (559) op(e4, e0) = e0 % 24.22/6.29 | % 24.22/6.29 | From (557) and (66) follows: % 24.22/6.29 | (811) op(e2, e4) = e2 % 24.22/6.29 | % 24.22/6.29 | Instantiating formula (206) with e4, e2, e2, e1 and discharging atoms op(e4, e2) = e2, op(e4, e2) = e1, yields: % 24.22/6.29 | (544) e2 = e1 % 24.22/6.29 | % 24.22/6.29 | Instantiating formula (206) with e4, e0, e0, e4 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 24.22/6.29 | (481) e4 = e0 % 24.22/6.29 | % 24.22/6.29 | Instantiating formula (206) with e2, e4, e2, e4 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e2, yields: % 24.22/6.29 | (409) e4 = e2 % 24.22/6.29 | % 24.22/6.29 | Combining equations (481,409) yields a new equation: % 24.22/6.29 | (569) e2 = e0 % 24.22/6.29 | % 24.22/6.29 | Combining equations (544,569) yields a new equation: % 24.22/6.29 | (296) e1 = e0 % 24.22/6.29 | % 24.22/6.29 | Simplifying 296 yields: % 24.22/6.29 | (297) e1 = e0 % 24.22/6.29 | % 24.22/6.29 | Equations (297) can reduce 231 to: % 24.22/6.29 | (298) $false % 24.22/6.29 | % 24.22/6.29 |-The branch is then unsatisfiable % 24.22/6.29 |-Branch two: % 24.22/6.29 | (573) ~ (unit = e4) % 24.22/6.29 | (574) unit = e2 % 24.22/6.29 | % 24.22/6.29 | From (574) and (243) follows: % 24.22/6.29 | (576) op(e4, e2) = e4 % 24.22/6.29 | % 24.22/6.29 | From (574) and (74) follows: % 24.22/6.29 | (1207) op(e3, e2) = e3 % 24.22/6.29 | % 24.22/6.29 | From (574) and (66) follows: % 24.22/6.29 | (577) op(e2, e2) = e2 % 24.22/6.29 | % 24.22/6.29 | From (574) and (67) follows: % 24.22/6.29 | (578) op(e0, e2) = e0 % 24.22/6.29 | % 24.22/6.29 | Instantiating formula (206) with e4, e2, e4, e1 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e1, yields: % 24.22/6.29 | (535) e4 = e1 % 24.22/6.29 | % 24.22/6.29 | Instantiating formula (206) with e3, e2, e3, e4 and discharging atoms op(e3, e2) = e4, op(e3, e2) = e3, yields: % 24.22/6.29 | (392) e4 = e3 % 24.22/6.29 | % 24.22/6.29 | Instantiating formula (206) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 24.22/6.29 | (567) e3 = e2 % 24.22/6.29 | % 24.22/6.29 | Instantiating formula (206) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 24.22/6.29 | (569) e2 = e0 % 24.22/6.29 | % 24.22/6.29 | Combining equations (535,392) yields a new equation: % 24.22/6.29 | (420) e3 = e1 % 24.22/6.29 | % 24.22/6.29 | Combining equations (420,567) yields a new equation: % 24.22/6.29 | (544) e2 = e1 % 24.22/6.29 | % 24.22/6.29 | Combining equations (544,569) yields a new equation: % 24.22/6.29 | (296) e1 = e0 % 24.22/6.29 | % 24.22/6.29 | Simplifying 296 yields: % 24.22/6.29 | (297) e1 = e0 % 24.22/6.29 | % 24.22/6.29 | Equations (297) can reduce 231 to: % 24.22/6.29 | (298) $false % 24.22/6.29 | % 24.22/6.29 |-The branch is then unsatisfiable % 24.22/6.29 |-Branch two: % 24.22/6.29 | (497) ~ (all_0_49_49 = e4) % 24.22/6.29 | (509) all_0_50_50 = e4 | all_0_52_52 = e4 % 24.22/6.29 | % 24.22/6.29 +-Applying beta-rule and splitting (460), into two cases. % 24.22/6.29 |-Branch one: % 24.22/6.29 | (637) all_0_49_49 = e0 % 24.22/6.29 | % 24.22/6.29 | Equations (637) can reduce 652 to: % 24.22/6.29 | (298) $false % 24.22/6.29 | % 24.22/6.29 |-The branch is then unsatisfiable % 24.22/6.29 |-Branch two: % 24.22/6.29 | (652) ~ (all_0_49_49 = e0) % 24.22/6.29 | (506) all_0_49_49 = e4 % 24.22/6.29 | % 24.22/6.29 | Equations (506) can reduce 497 to: % 24.22/6.29 | (298) $false % 24.22/6.29 | % 24.22/6.29 |-The branch is then unsatisfiable % 24.22/6.29 |-Branch two: % 24.22/6.29 | (304) ~ (all_0_52_52 = e0) % 24.22/6.29 | (300) all_0_60_60 = e0 % 24.22/6.29 | % 24.22/6.29 | Combining equations (300,2157) yields a new equation: % 24.22/6.29 | (297) e1 = e0 % 24.22/6.29 | % 24.22/6.29 | Equations (297) can reduce 231 to: % 24.22/6.29 | (298) $false % 24.22/6.29 | % 24.22/6.29 |-The branch is then unsatisfiable % 24.22/6.29 |-Branch two: % 24.22/6.29 | (411) ~ (all_0_57_57 = e4) % 24.22/6.29 | (412) all_0_58_58 = e4 | all_0_60_60 = e4 % 24.22/6.29 | % 24.22/6.29 +-Applying beta-rule and splitting (412), into two cases. % 24.22/6.29 |-Branch one: % 24.22/6.29 | (413) all_0_58_58 = e4 % 24.22/6.29 | % 24.22/6.29 | Combining equations (955,413) yields a new equation: % 24.22/6.29 | (409) e4 = e2 % 24.22/6.29 | % 24.22/6.29 | Equations (409) can reduce 46 to: % 24.22/6.29 | (298) $false % 24.22/6.29 | % 24.22/6.29 |-The branch is then unsatisfiable % 24.22/6.29 |-Branch two: % 24.22/6.29 | (880) ~ (all_0_58_58 = e4) % 24.22/6.29 | (696) all_0_60_60 = e4 % 24.22/6.29 | % 24.22/6.29 | Combining equations (2157,696) yields a new equation: % 24.22/6.29 | (535) e4 = e1 % 24.22/6.29 | % 24.22/6.29 | Equations (535) can reduce 115 to: % 24.22/6.29 | (298) $false % 24.22/6.29 | % 24.22/6.29 |-The branch is then unsatisfiable % 24.22/6.29 |-Branch two: % 24.22/6.29 | (463) ~ (all_0_42_42 = e0) % 24.22/6.29 | (841) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_59_59 = e0 % 24.22/6.29 | % 24.22/6.29 +-Applying beta-rule and splitting (841), into two cases. % 24.22/6.29 |-Branch one: % 24.22/6.29 | (525) all_0_47_47 = e0 % 24.22/6.29 | % 24.22/6.29 | Combining equations (525,368) yields a new equation: % 24.22/6.29 | (569) e2 = e0 % 24.22/6.29 | % 24.22/6.29 | Equations (569) can reduce 139 to: % 24.22/6.29 | (298) $false % 24.22/6.29 | % 24.22/6.29 |-The branch is then unsatisfiable % 24.22/6.29 |-Branch two: % 24.22/6.29 | (589) ~ (all_0_47_47 = e0) % 24.22/6.29 | (2624) all_0_51_51 = e0 | all_0_59_59 = e0 % 24.22/6.29 | % 24.22/6.29 +-Applying beta-rule and splitting (2624), into two cases. % 24.22/6.29 |-Branch one: % 24.22/6.29 | (1730) all_0_51_51 = e0 % 24.22/6.29 | % 24.22/6.29 | Combining equations (1704,1730) yields a new equation: % 24.22/6.29 | (296) e1 = e0 % 24.22/6.29 | % 24.22/6.29 | Simplifying 296 yields: % 24.22/6.29 | (297) e1 = e0 % 24.22/6.29 | % 24.22/6.29 | Equations (297) can reduce 231 to: % 24.22/6.29 | (298) $false % 24.22/6.29 | % 24.22/6.29 |-The branch is then unsatisfiable % 24.22/6.29 |-Branch two: % 24.22/6.29 | (1871) ~ (all_0_51_51 = e0) % 24.22/6.29 | (2627) all_0_59_59 = e0 % 24.22/6.29 | % 24.22/6.29 | Combining equations (907,2627) yields a new equation: % 24.22/6.29 | (654) e3 = e0 % 24.22/6.29 | % 24.22/6.29 | Simplifying 654 yields: % 24.22/6.29 | (534) e3 = e0 % 24.22/6.29 | % 24.39/6.29 | Equations (534) can reduce 84 to: % 24.39/6.29 | (298) $false % 24.39/6.29 | % 24.39/6.29 |-The branch is then unsatisfiable % 24.39/6.29 |-Branch two: % 24.39/6.29 | (306) ~ (all_0_56_56 = e0) % 24.39/6.29 | (2992) all_0_57_57 = e0 | all_0_59_59 = e0 | all_0_60_60 = e0 % 24.39/6.29 | % 24.39/6.29 +-Applying beta-rule and splitting (515), into two cases. % 24.39/6.29 |-Branch one: % 24.39/6.29 | (603) all_0_41_41 = e4 % 24.39/6.29 | % 24.39/6.29 | Combining equations (603,253) yields a new equation: % 24.39/6.29 | (598) e4 = e1 % 24.39/6.29 | % 24.39/6.29 | Simplifying 598 yields: % 24.39/6.29 | (535) e4 = e1 % 24.39/6.29 | % 24.39/6.29 | Equations (535) can reduce 115 to: % 24.39/6.29 | (298) $false % 24.39/6.29 | % 24.39/6.29 |-The branch is then unsatisfiable % 24.39/6.29 |-Branch two: % 24.39/6.29 | (607) ~ (all_0_41_41 = e4) % 24.39/6.29 | (520) all_0_43_43 = e4 % 24.39/6.29 | % 24.39/6.29 | Equations (520) can reduce 194 to: % 24.39/6.29 | (2335) ~ (all_0_52_52 = e4) % 24.39/6.29 | % 24.39/6.29 | Simplifying 2335 yields: % 24.39/6.29 | (695) ~ (all_0_52_52 = e4) % 24.39/6.29 | % 24.39/6.29 | Equations (520) can reduce 188 to: % 24.39/6.29 | (46) ~ (e4 = e2) % 24.39/6.29 | % 24.39/6.29 +-Applying beta-rule and splitting (226), into two cases. % 24.39/6.29 |-Branch one: % 24.39/6.29 | (506) all_0_49_49 = e4 % 24.39/6.29 | % 24.39/6.29 +-Applying beta-rule and splitting (129), into two cases. % 24.39/6.29 |-Branch one: % 24.39/6.29 | (637) all_0_49_49 = e0 % 24.39/6.29 | % 24.39/6.29 | Combining equations (506,637) yields a new equation: % 24.39/6.29 | (480) e4 = e0 % 24.39/6.29 | % 24.39/6.29 | Simplifying 480 yields: % 24.39/6.29 | (481) e4 = e0 % 24.39/6.29 | % 24.39/6.29 | Equations (481) can reduce 47 to: % 24.39/6.29 | (298) $false % 24.39/6.29 | % 24.39/6.29 |-The branch is then unsatisfiable % 24.39/6.29 |-Branch two: % 24.39/6.29 | (652) ~ (all_0_49_49 = e0) % 24.39/6.29 | (682) all_0_50_50 = e0 | all_0_51_51 = e0 | all_0_52_52 = e0 % 24.39/6.29 | % 24.39/6.29 | Equations (506) can reduce 652 to: % 24.39/6.29 | (47) ~ (e4 = e0) % 24.39/6.29 | % 24.39/6.29 +-Applying beta-rule and splitting (12), into two cases. % 24.39/6.29 |-Branch one: % 24.39/6.30 | (1253) all_0_43_43 = e0 % 24.39/6.30 | % 24.39/6.30 | Combining equations (1253,520) yields a new equation: % 24.39/6.30 | (481) e4 = e0 % 24.39/6.30 | % 24.39/6.30 | Equations (481) can reduce 47 to: % 24.39/6.30 | (298) $false % 24.39/6.30 | % 24.39/6.30 |-The branch is then unsatisfiable % 24.39/6.30 |-Branch two: % 24.39/6.30 | (301) ~ (all_0_43_43 = e0) % 24.39/6.30 | (2731) all_0_48_48 = e0 | all_0_52_52 = e0 | all_0_60_60 = e0 % 24.39/6.30 | % 24.39/6.30 | Equations (520) can reduce 301 to: % 24.39/6.30 | (47) ~ (e4 = e0) % 24.39/6.30 | % 24.39/6.30 +-Applying beta-rule and splitting (504), into two cases. % 24.39/6.30 |-Branch one: % 24.39/6.30 | (637) all_0_49_49 = e0 % 24.39/6.30 | % 24.39/6.30 | Combining equations (506,637) yields a new equation: % 24.39/6.30 | (480) e4 = e0 % 24.39/6.30 | % 24.39/6.30 | Simplifying 480 yields: % 24.39/6.30 | (481) e4 = e0 % 24.39/6.30 | % 24.39/6.30 | Equations (481) can reduce 47 to: % 24.39/6.30 | (298) $false % 24.39/6.30 | % 24.39/6.30 |-The branch is then unsatisfiable % 24.39/6.30 |-Branch two: % 24.39/6.30 | (652) ~ (all_0_49_49 = e0) % 24.39/6.30 | (653) all_0_56_56 = e0 % 24.39/6.30 | % 24.39/6.30 | Equations (653) can reduce 306 to: % 24.39/6.30 | (298) $false % 24.39/6.30 | % 24.39/6.30 |-The branch is then unsatisfiable % 24.39/6.30 |-Branch two: % 24.39/6.30 | (497) ~ (all_0_49_49 = e4) % 24.39/6.30 | (509) all_0_50_50 = e4 | all_0_52_52 = e4 % 24.39/6.30 | % 24.39/6.30 +-Applying beta-rule and splitting (509), into two cases. % 24.39/6.30 |-Branch one: % 24.39/6.30 | (523) all_0_50_50 = e4 % 24.39/6.30 | % 24.39/6.30 | Combining equations (838,523) yields a new equation: % 24.39/6.30 | (409) e4 = e2 % 24.39/6.30 | % 24.39/6.30 | Equations (409) can reduce 46 to: % 24.39/6.30 | (298) $false % 24.39/6.30 | % 24.39/6.30 |-The branch is then unsatisfiable % 24.39/6.30 |-Branch two: % 24.39/6.30 | (596) ~ (all_0_50_50 = e4) % 24.39/6.30 | (597) all_0_52_52 = e4 % 24.39/6.30 | % 24.39/6.30 | Equations (597) can reduce 695 to: % 24.39/6.30 | (298) $false % 24.39/6.30 | % 24.39/6.30 |-The branch is then unsatisfiable % 24.39/6.30 |-Branch two: % 24.39/6.30 | (425) ~ (all_0_40_40 = e3) % 24.39/6.30 | (1257) all_0_42_42 = e3 | all_0_43_43 = e3 % 24.39/6.30 | % 24.39/6.30 +-Applying beta-rule and splitting (1257), into two cases. % 24.39/6.30 |-Branch one: % 24.39/6.30 | (469) all_0_42_42 = e3 % 24.39/6.30 | % 24.39/6.30 | Equations (469) can reduce 847 to: % 24.39/6.30 | (298) $false % 24.39/6.30 | % 24.39/6.30 |-The branch is then unsatisfiable % 24.39/6.30 |-Branch two: % 24.39/6.30 | (847) ~ (all_0_42_42 = e3) % 24.39/6.30 | (475) all_0_43_43 = e3 % 24.39/6.30 | % 24.39/6.30 | Equations (475) can reduce 471 to: % 24.39/6.30 | (298) $false % 24.39/6.30 | % 24.39/6.30 |-The branch is then unsatisfiable % 24.39/6.30 |-Branch two: % 24.39/6.30 | (711) ~ (all_0_48_48 = e3) % 24.39/6.30 | (724) all_0_48_48 = e4 | all_0_48_48 = e2 % 24.39/6.30 | % 24.39/6.30 +-Applying beta-rule and splitting (724), into two cases. % 24.39/6.30 |-Branch one: % 24.39/6.30 | (687) all_0_48_48 = e4 % 24.39/6.30 | % 24.39/6.30 | Equations (687) can reduce 690 to: % 24.39/6.30 | (298) $false % 24.39/6.30 | % 24.39/6.30 |-The branch is then unsatisfiable % 24.39/6.30 |-Branch two: % 24.39/6.30 | (690) ~ (all_0_48_48 = e4) % 24.39/6.30 | (743) all_0_48_48 = e2 % 24.39/6.30 | % 24.39/6.30 | Equations (743) can reduce 363 to: % 24.39/6.30 | (298) $false % 24.39/6.30 | % 24.39/6.30 |-The branch is then unsatisfiable % 24.39/6.30 |-Branch two: % 24.39/6.30 | (398) ~ (all_0_50_50 = e2) % 24.39/6.30 | (2026) all_0_54_54 = e2 | all_0_57_57 = e2 % 24.39/6.30 | % 24.39/6.30 +-Applying beta-rule and splitting (103), into two cases. % 24.39/6.30 |-Branch one: % 24.39/6.30 | (838) all_0_50_50 = e2 % 24.39/6.30 | % 24.39/6.30 | Equations (838) can reduce 398 to: % 24.39/6.30 | (298) $false % 24.39/6.30 | % 24.39/6.30 |-The branch is then unsatisfiable % 24.39/6.30 |-Branch two: % 24.39/6.30 | (398) ~ (all_0_50_50 = e2) % 24.39/6.30 | (1906) all_0_51_51 = e2 | all_0_52_52 = e2 % 24.39/6.30 | % 24.39/6.30 +-Applying beta-rule and splitting (1906), into two cases. % 24.39/6.30 |-Branch one: % 24.39/6.30 | (396) all_0_51_51 = e2 % 24.39/6.30 | % 24.39/6.30 | Combining equations (1704,396) yields a new equation: % 24.39/6.30 | (544) e2 = e1 % 24.39/6.30 | % 24.39/6.30 | Equations (544) can reduce 134 to: % 24.39/6.30 | (298) $false % 24.39/6.30 | % 24.39/6.30 |-The branch is then unsatisfiable % 24.39/6.30 |-Branch two: % 24.39/6.30 | (885) ~ (all_0_51_51 = e2) % 24.39/6.30 | (938) all_0_52_52 = e2 % 24.39/6.30 | % 24.39/6.30 | Equations (938) can reduce 941 to: % 24.39/6.30 | (298) $false % 24.39/6.30 | % 24.39/6.30 |-The branch is then unsatisfiable % 24.39/6.30 |-Branch two: % 24.39/6.30 | (344) ~ (all_0_51_51 = e1) % 24.39/6.30 | (341) all_0_59_59 = e1 % 24.39/6.30 | % 24.39/6.30 | Equations (341) can reduce 2156 to: % 24.39/6.30 | (298) $false % 24.39/6.30 | % 24.39/6.30 |-The branch is then unsatisfiable % 24.39/6.30 |-Branch two: % 24.39/6.30 | (936) ~ (all_0_46_46 = e4) % 24.39/6.30 | (413) all_0_58_58 = e4 % 24.39/6.30 | % 24.39/6.30 | Combining equations (955,413) yields a new equation: % 24.39/6.30 | (409) e4 = e2 % 24.39/6.30 | % 24.39/6.30 | Equations (409) can reduce 46 to: % 24.39/6.30 | (298) $false % 24.39/6.30 | % 24.39/6.30 |-The branch is then unsatisfiable % 24.39/6.30 |-Branch two: % 24.39/6.30 | (273) ~ (all_0_44_44 = e1) % 24.39/6.30 | (2192) all_0_45_45 = e1 | all_0_46_46 = e1 | all_0_47_47 = e1 | all_0_48_48 = e1 % 24.39/6.30 | % 24.39/6.30 +-Applying beta-rule and splitting (2192), into two cases. % 24.39/6.30 |-Branch one: % 24.39/6.30 | (284) all_0_45_45 = e1 % 24.39/6.30 | % 24.39/6.30 | Combining equations (295,284) yields a new equation: % 24.39/6.30 | (297) e1 = e0 % 24.39/6.30 | % 24.39/6.30 | Equations (297) can reduce 231 to: % 24.39/6.30 | (298) $false % 24.39/6.30 | % 24.39/6.30 |-The branch is then unsatisfiable % 24.39/6.30 |-Branch two: % 24.39/6.30 | (2170) ~ (all_0_45_45 = e1) % 24.39/6.30 | (2201) all_0_46_46 = e1 | all_0_47_47 = e1 | all_0_48_48 = e1 % 24.39/6.30 | % 24.39/6.30 +-Applying beta-rule and splitting (2201), into two cases. % 24.39/6.30 |-Branch one: % 24.39/6.30 | (982) all_0_46_46 = e1 % 24.39/6.30 | % 24.39/6.30 | Equations (982) can reduce 260 to: % 24.39/6.30 | (298) $false % 24.39/6.30 | % 24.39/6.30 |-The branch is then unsatisfiable % 24.39/6.30 |-Branch two: % 24.39/6.30 | (260) ~ (all_0_46_46 = e1) % 24.39/6.30 | (2207) all_0_47_47 = e1 | all_0_48_48 = e1 % 24.39/6.30 | % 24.39/6.30 +-Applying beta-rule and splitting (2207), into two cases. % 24.39/6.30 |-Branch one: % 24.39/6.30 | (487) all_0_47_47 = e1 % 24.39/6.30 | % 24.39/6.30 | Combining equations (487,368) yields a new equation: % 24.39/6.30 | (544) e2 = e1 % 24.39/6.30 | % 24.39/6.30 | Equations (544) can reduce 134 to: % 24.39/6.30 | (298) $false % 24.39/6.30 | % 24.39/6.30 |-The branch is then unsatisfiable % 24.39/6.30 |-Branch two: % 24.39/6.30 | (343) ~ (all_0_47_47 = e1) % 24.39/6.30 | (318) all_0_48_48 = e1 % 24.39/6.30 | % 24.39/6.30 | Equations (318) can reduce 290 to: % 24.39/6.30 | (298) $false % 24.39/6.30 | % 24.39/6.30 |-The branch is then unsatisfiable % 24.39/6.30 |-Branch two: % 24.39/6.30 | (361) ~ (all_0_47_47 = e2) % 24.39/6.30 | (743) all_0_48_48 = e2 % 24.39/6.30 | % 24.39/6.30 | Equations (743) can reduce 363 to: % 24.39/6.30 | (298) $false % 24.39/6.30 | % 24.39/6.30 |-The branch is then unsatisfiable % 24.39/6.30 |-Branch two: % 24.39/6.30 | (275) ~ (all_0_54_54 = e1) % 24.39/6.30 | (1029) all_0_55_55 = e1 % 24.39/6.30 | % 24.39/6.30 | Equations (1029) can reduce 277 to: % 24.39/6.30 | (298) $false % 24.39/6.30 | % 24.39/6.30 |-The branch is then unsatisfiable % 24.39/6.30 |-Branch two: % 24.39/6.30 | (299) ~ (all_0_45_45 = e0) % 24.39/6.30 | (300) all_0_60_60 = e0 % 24.39/6.30 | % 24.39/6.30 | Combining equations (2157,300) yields a new equation: % 24.39/6.30 | (296) e1 = e0 % 24.39/6.30 | % 24.39/6.30 | Simplifying 296 yields: % 24.39/6.30 | (297) e1 = e0 % 24.39/6.30 | % 24.39/6.30 | Equations (297) can reduce 231 to: % 24.39/6.30 | (298) $false % 24.39/6.30 | % 24.39/6.30 |-The branch is then unsatisfiable % 24.39/6.30 |-Branch two: % 24.39/6.30 | (7077) ~ (all_0_41_41 = e1) % 24.39/6.30 | (603) all_0_41_41 = e4 % 24.39/6.30 | % 24.39/6.30 | Equations (603) can reduce 223 to: % 24.39/6.30 | (483) ~ (all_0_40_40 = e4) % 24.39/6.30 | % 24.39/6.30 | Equations (603) can reduce 136 to: % 24.39/6.30 | (3195) ~ (all_0_42_42 = e4) % 24.39/6.30 | % 24.39/6.30 | Simplifying 3195 yields: % 24.39/6.30 | (247) ~ (all_0_42_42 = e4) % 24.39/6.30 | % 24.39/6.30 | Equations (603) can reduce 108 to: % 24.39/6.30 | (1974) ~ (all_0_43_43 = e4) % 24.39/6.30 | % 24.39/6.30 | Simplifying 1974 yields: % 24.39/6.30 | (601) ~ (all_0_43_43 = e4) % 24.39/6.30 | % 24.39/6.30 | Equations (603) can reduce 135 to: % 24.39/6.30 | (3130) ~ (all_0_46_46 = e4) % 24.39/6.30 | % 24.39/6.30 | Simplifying 3130 yields: % 24.39/6.30 | (936) ~ (all_0_46_46 = e4) % 24.39/6.30 | % 24.39/6.30 | Equations (603) can reduce 59 to: % 24.39/6.30 | (3124) ~ (all_0_58_58 = e4) % 24.39/6.30 | % 24.39/6.30 | Simplifying 3124 yields: % 24.39/6.30 | (880) ~ (all_0_58_58 = e4) % 24.39/6.30 | % 24.39/6.30 | Equations (603) can reduce 7077 to: % 24.39/6.30 | (115) ~ (e4 = e1) % 24.39/6.30 | % 24.39/6.30 | Equations (603) can reduce 31 to: % 24.39/6.30 | (47) ~ (e4 = e0) % 24.39/6.30 | % 24.39/6.30 | From (603) and (130) follows: % 24.39/6.30 | (7090) op(e4, e4) = all_0_2_2 % 24.39/6.30 | % 24.39/6.30 | From (603) and (183) follows: % 24.39/6.30 | (7091) op(e4, e2) = all_0_3_3 % 24.39/6.30 | % 24.39/6.30 | From (603) and (126) follows: % 24.39/6.30 | (576) op(e4, e2) = e4 % 24.39/6.30 | % 24.39/6.30 | Instantiating formula (206) with e4, e4, all_0_2_2, e2 and discharging atoms op(e4, e4) = all_0_2_2, op(e4, e4) = e2, yields: % 24.39/6.30 | (7093) all_0_2_2 = e2 % 24.39/6.30 | % 24.39/6.30 | Instantiating formula (206) with e4, e2, e4, all_0_3_3 and discharging atoms op(e4, e2) = all_0_3_3, op(e4, e2) = e4, yields: % 24.39/6.30 | (4635) all_0_3_3 = e4 % 24.39/6.30 | % 24.39/6.30 | From (7093) and (7090) follows: % 24.39/6.30 | (187) op(e4, e4) = e2 % 24.39/6.30 | % 24.39/6.30 | From (4635) and (7091) follows: % 24.39/6.31 | (576) op(e4, e2) = e4 % 24.39/6.31 | % 24.39/6.31 +-Applying beta-rule and splitting (232), into two cases. % 24.39/6.31 |-Branch one: % 24.39/6.31 | (272) all_0_53_53 = e1 % 24.39/6.31 | % 24.39/6.31 | Equations (272) can reduce 182 to: % 24.39/6.31 | (329) ~ (all_0_49_49 = e1) % 24.39/6.31 | % 24.39/6.31 | Equations (272) can reduce 56 to: % 24.39/6.31 | (274) ~ (all_0_54_54 = e1) % 24.39/6.31 | % 24.39/6.31 | Simplifying 274 yields: % 24.39/6.31 | (275) ~ (all_0_54_54 = e1) % 24.39/6.31 | % 24.39/6.31 | Equations (272) can reduce 53 to: % 24.39/6.31 | (347) ~ (e4 = e1) % 24.39/6.31 | % 24.39/6.31 | Simplifying 347 yields: % 24.39/6.31 | (115) ~ (e4 = e1) % 24.39/6.31 | % 24.39/6.31 | Equations (272) can reduce 164 to: % 24.39/6.31 | (263) ~ (e2 = e1) % 24.39/6.31 | % 24.39/6.31 | Simplifying 263 yields: % 24.39/6.31 | (134) ~ (e2 = e1) % 24.39/6.31 | % 24.39/6.31 | Equations (272) can reduce 122 to: % 24.39/6.31 | (231) ~ (e1 = e0) % 24.39/6.31 | % 24.39/6.31 | From (272) and (197) follows: % 24.39/6.31 | (281) op(e1, e1) = all_0_25_25 % 24.39/6.31 | % 24.39/6.31 | Instantiating formula (206) with e1, e1, all_0_25_25, e4 and discharging atoms op(e1, e1) = all_0_25_25, op(e1, e1) = e4, yields: % 24.39/6.31 | (282) all_0_25_25 = e4 % 24.39/6.31 | % 24.39/6.31 | From (282) and (281) follows: % 24.39/6.31 | (227) op(e1, e1) = e4 % 24.39/6.31 | % 24.39/6.31 +-Applying beta-rule and splitting (69), into two cases. % 24.39/6.31 |-Branch one: % 24.39/6.31 | (284) all_0_45_45 = e1 % 24.39/6.31 | % 24.39/6.31 | Equations (284) can reduce 219 to: % 24.39/6.31 | (254) ~ (all_0_40_40 = e1) % 24.39/6.31 | % 24.39/6.31 | Equations (284) can reduce 40 to: % 24.39/6.31 | (273) ~ (all_0_44_44 = e1) % 24.39/6.31 | % 24.39/6.31 | Equations (284) can reduce 39 to: % 24.39/6.31 | (259) ~ (all_0_46_46 = e1) % 24.39/6.31 | % 24.39/6.31 | Simplifying 259 yields: % 24.39/6.31 | (260) ~ (all_0_46_46 = e1) % 24.39/6.31 | % 24.39/6.31 | Equations (284) can reduce 142 to: % 24.39/6.31 | (6113) ~ (all_0_47_47 = e1) % 24.39/6.31 | % 24.39/6.31 | Simplifying 6113 yields: % 24.39/6.31 | (343) ~ (all_0_47_47 = e1) % 24.39/6.31 | % 24.39/6.31 | Equations (284) can reduce 102 to: % 24.39/6.31 | (289) ~ (all_0_48_48 = e1) % 24.39/6.31 | % 24.39/6.31 | Simplifying 289 yields: % 24.39/6.31 | (290) ~ (all_0_48_48 = e1) % 24.39/6.31 | % 24.39/6.31 | Equations (284) can reduce 17 to: % 24.39/6.31 | (3721) ~ (all_0_50_50 = e1) % 24.39/6.31 | % 24.39/6.31 | Simplifying 3721 yields: % 24.39/6.31 | (330) ~ (all_0_50_50 = e1) % 24.39/6.31 | % 24.39/6.31 +-Applying beta-rule and splitting (79), into two cases. % 24.39/6.31 |-Branch one: % 24.39/6.31 | (295) all_0_45_45 = e0 % 24.39/6.31 | % 24.39/6.31 | Combining equations (284,295) yields a new equation: % 24.39/6.31 | (296) e1 = e0 % 24.39/6.31 | % 24.39/6.31 | Simplifying 296 yields: % 24.39/6.31 | (297) e1 = e0 % 24.39/6.31 | % 24.39/6.31 | Equations (297) can reduce 231 to: % 24.39/6.31 | (298) $false % 24.39/6.31 | % 24.39/6.31 |-The branch is then unsatisfiable % 24.39/6.31 |-Branch two: % 24.39/6.31 | (299) ~ (all_0_45_45 = e0) % 24.39/6.31 | (300) all_0_60_60 = e0 % 24.39/6.31 | % 24.39/6.31 | Equations (300) can reduce 77 to: % 24.39/6.31 | (301) ~ (all_0_43_43 = e0) % 24.39/6.31 | % 24.39/6.31 | Equations (300) can reduce 249 to: % 24.39/6.31 | (303) ~ (all_0_48_48 = e0) % 24.39/6.31 | % 24.39/6.31 | Equations (300) can reduce 156 to: % 24.39/6.31 | (304) ~ (all_0_52_52 = e0) % 24.39/6.31 | % 24.39/6.31 | Equations (300) can reduce 90 to: % 24.39/6.31 | (178) ~ (all_0_55_55 = e0) % 24.39/6.31 | % 24.39/6.31 | Equations (300) can reduce 200 to: % 24.39/6.31 | (306) ~ (all_0_56_56 = e0) % 24.39/6.31 | % 24.39/6.31 | Equations (300) can reduce 62 to: % 24.39/6.31 | (307) ~ (all_0_57_57 = e0) % 24.39/6.31 | % 24.39/6.31 | Equations (300) can reduce 5 to: % 24.39/6.31 | (309) ~ (all_0_59_59 = e0) % 24.39/6.31 | % 24.39/6.31 +-Applying beta-rule and splitting (186), into two cases. % 24.39/6.31 |-Branch one: % 24.39/6.31 | (253) all_0_41_41 = e1 % 24.39/6.31 | % 24.39/6.31 | Combining equations (603,253) yields a new equation: % 24.39/6.31 | (598) e4 = e1 % 24.39/6.31 | % 24.39/6.31 | Simplifying 598 yields: % 24.39/6.31 | (535) e4 = e1 % 24.39/6.31 | % 24.39/6.31 | Equations (535) can reduce 115 to: % 24.39/6.31 | (298) $false % 24.39/6.31 | % 24.39/6.31 |-The branch is then unsatisfiable % 24.39/6.31 |-Branch two: % 24.39/6.31 | (7077) ~ (all_0_41_41 = e1) % 24.39/6.31 | (7138) all_0_46_46 = e1 | all_0_58_58 = e1 % 24.39/6.31 | % 24.39/6.31 +-Applying beta-rule and splitting (192), into two cases. % 24.39/6.31 |-Branch one: % 24.39/6.31 | (982) all_0_46_46 = e1 % 24.39/6.31 | % 24.39/6.31 | Equations (982) can reduce 260 to: % 24.39/6.31 | (298) $false % 24.39/6.31 | % 24.39/6.31 |-The branch is then unsatisfiable % 24.39/6.31 |-Branch two: % 24.39/6.31 | (260) ~ (all_0_46_46 = e1) % 24.39/6.31 | (985) all_0_46_46 = e4 | all_0_46_46 = e2 % 24.39/6.31 | % 24.39/6.31 +-Applying beta-rule and splitting (7138), into two cases. % 24.39/6.31 |-Branch one: % 24.39/6.31 | (982) all_0_46_46 = e1 % 24.39/6.31 | % 24.39/6.31 | Equations (982) can reduce 260 to: % 24.39/6.31 | (298) $false % 24.39/6.31 | % 24.39/6.31 |-The branch is then unsatisfiable % 24.39/6.31 |-Branch two: % 24.39/6.31 | (260) ~ (all_0_46_46 = e1) % 24.39/6.31 | (337) all_0_58_58 = e1 % 24.39/6.31 | % 24.39/6.31 | Equations (337) can reduce 230 to: % 24.39/6.31 | (279) ~ (all_0_56_56 = e1) % 24.39/6.31 | % 24.39/6.31 | Equations (337) can reduce 208 to: % 24.39/6.31 | (294) ~ (all_0_57_57 = e1) % 24.39/6.31 | % 24.39/6.31 | Equations (337) can reduce 25 to: % 24.39/6.31 | (2217) ~ (all_0_59_59 = e1) % 24.39/6.31 | % 24.39/6.31 | Simplifying 2217 yields: % 24.39/6.31 | (2156) ~ (all_0_59_59 = e1) % 24.39/6.31 | % 24.39/6.31 | Equations (337) can reduce 880 to: % 24.39/6.31 | (347) ~ (e4 = e1) % 24.39/6.31 | % 24.39/6.31 | Simplifying 347 yields: % 24.39/6.31 | (115) ~ (e4 = e1) % 24.39/6.31 | % 24.39/6.31 | Equations (337) can reduce 161 to: % 24.39/6.31 | (333) ~ (e3 = e1) % 24.39/6.31 | % 24.39/6.31 | Simplifying 333 yields: % 24.39/6.31 | (214) ~ (e3 = e1) % 24.39/6.31 | % 24.39/6.31 | From (337) and (145) follows: % 24.39/6.31 | (7155) op(e1, e0) = all_0_35_35 % 24.39/6.31 | % 24.39/6.31 | From (337) and (185) follows: % 24.39/6.31 | (7156) op(e0, e2) = e1 % 24.39/6.31 | % 24.39/6.31 +-Applying beta-rule and splitting (57), into two cases. % 24.39/6.31 |-Branch one: % 24.39/6.31 | (358) all_0_46_46 = e2 % 24.39/6.31 | % 24.39/6.31 | Equations (358) can reduce 120 to: % 24.39/6.31 | (107) ~ (all_0_44_44 = e2) % 24.39/6.31 | % 24.39/6.31 | Equations (358) can reduce 179 to: % 24.39/6.31 | (360) ~ (all_0_47_47 = e2) % 24.39/6.31 | % 24.39/6.31 | Simplifying 360 yields: % 24.39/6.31 | (361) ~ (all_0_47_47 = e2) % 24.39/6.31 | % 24.39/6.31 | Equations (358) can reduce 174 to: % 24.39/6.31 | (362) ~ (all_0_48_48 = e2) % 24.39/6.31 | % 24.39/6.31 | Simplifying 362 yields: % 24.39/6.31 | (363) ~ (all_0_48_48 = e2) % 24.39/6.31 | % 24.39/6.31 | Equations (358) can reduce 27 to: % 24.39/6.31 | (401) ~ (e3 = e2) % 24.39/6.31 | % 24.39/6.31 | Simplifying 401 yields: % 24.39/6.31 | (213) ~ (e3 = e2) % 24.39/6.31 | % 24.39/6.31 | From (358) and (240) follows: % 24.39/6.31 | (366) op(e2, e3) = all_0_11_11 % 24.39/6.31 | % 24.39/6.31 | From (358) and (144) follows: % 24.39/6.31 | (367) op(e2, e2) = all_0_12_12 % 24.39/6.31 | % 24.39/6.31 | Instantiating formula (206) with e2, e3, all_0_11_11, all_0_50_50 and discharging atoms op(e2, e3) = all_0_11_11, op(e2, e3) = all_0_50_50, yields: % 24.39/6.31 | (435) all_0_11_11 = all_0_50_50 % 24.39/6.31 | % 24.39/6.31 | Instantiating formula (206) with e2, e2, all_0_12_12, e3 and discharging atoms op(e2, e2) = all_0_12_12, op(e2, e2) = e3, yields: % 24.39/6.31 | (437) all_0_12_12 = e3 % 24.39/6.31 | % 24.39/6.31 | Instantiating formula (206) with e1, e0, all_0_35_35, all_0_55_55 and discharging atoms op(e1, e0) = all_0_35_35, op(e1, e0) = all_0_55_55, yields: % 24.39/6.31 | (7169) all_0_35_35 = all_0_55_55 % 24.39/6.31 | % 24.39/6.31 | From (435) and (366) follows: % 24.39/6.31 | (207) op(e2, e3) = all_0_50_50 % 24.39/6.31 | % 24.39/6.31 | From (437) and (367) follows: % 24.39/6.31 | (72) op(e2, e2) = e3 % 24.39/6.31 | % 24.39/6.31 | From (7169) and (7155) follows: % 24.39/6.31 | (218) op(e1, e0) = all_0_55_55 % 24.39/6.31 | % 24.39/6.31 +-Applying beta-rule and splitting (138), into two cases. % 24.39/6.31 |-Branch one: % 24.39/6.31 | (382) all_0_54_54 = e2 % 24.39/6.31 | % 24.39/6.31 | Equations (382) can reduce 35 to: % 24.39/6.31 | (246) ~ (all_0_40_40 = e2) % 24.39/6.31 | % 24.39/6.31 | Equations (382) can reduce 85 to: % 24.39/6.31 | (1014) ~ (all_0_55_55 = e2) % 24.39/6.31 | % 24.39/6.31 | Simplifying 1014 yields: % 24.39/6.31 | (968) ~ (all_0_55_55 = e2) % 24.39/6.31 | % 24.39/6.31 | Equations (382) can reduce 210 to: % 24.39/6.31 | (139) ~ (e2 = e0) % 24.39/6.31 | % 24.39/6.31 | From (382) and (36) follows: % 24.39/6.31 | (1018) op(e2, e3) = all_0_28_28 % 24.39/6.31 | % 24.39/6.31 | From (382) and (38) follows: % 24.39/6.31 | (1019) op(e2, e1) = all_0_27_27 % 24.39/6.31 | % 24.39/6.31 | From (382) and (154) follows: % 24.39/6.31 | (1020) op(e1, e3) = e2 % 24.39/6.31 | % 24.39/6.31 +-Applying beta-rule and splitting (128), into two cases. % 24.39/6.31 |-Branch one: % 24.39/6.31 | (419) all_0_53_53 = e3 % 24.39/6.31 | % 24.39/6.31 | Combining equations (272,419) yields a new equation: % 24.39/6.31 | (420) e3 = e1 % 24.39/6.31 | % 24.39/6.31 | Equations (420) can reduce 214 to: % 24.39/6.31 | (298) $false % 24.39/6.31 | % 24.39/6.31 |-The branch is then unsatisfiable % 24.39/6.31 |-Branch two: % 24.39/6.31 | (422) ~ (all_0_53_53 = e3) % 24.39/6.31 | (423) all_0_54_54 = e3 | all_0_55_55 = e3 % 24.39/6.31 | % 24.39/6.31 +-Applying beta-rule and splitting (423), into two cases. % 24.39/6.31 |-Branch one: % 24.39/6.31 | (424) all_0_54_54 = e3 % 24.39/6.31 | % 24.39/6.31 | Combining equations (424,382) yields a new equation: % 24.39/6.31 | (877) e3 = e2 % 24.39/6.31 | % 24.39/6.31 | Simplifying 877 yields: % 24.39/6.31 | (567) e3 = e2 % 24.39/6.31 | % 24.39/6.31 | Equations (567) can reduce 213 to: % 24.39/6.31 | (298) $false % 24.39/6.31 | % 24.39/6.31 |-The branch is then unsatisfiable % 24.39/6.31 |-Branch two: % 24.39/6.31 | (875) ~ (all_0_54_54 = e3) % 24.39/6.31 | (876) all_0_55_55 = e3 % 24.39/6.31 | % 24.39/6.31 | Equations (876) can reduce 112 to: % 24.39/6.31 | (471) ~ (all_0_43_43 = e3) % 24.39/6.31 | % 24.39/6.31 | Equations (876) can reduce 42 to: % 24.39/6.31 | (95) ~ (all_0_52_52 = e3) % 24.39/6.31 | % 24.39/6.31 | Equations (876) can reduce 968 to: % 24.39/6.31 | (213) ~ (e3 = e2) % 24.39/6.31 | % 24.39/6.31 | Equations (876) can reduce 178 to: % 24.39/6.31 | (84) ~ (e3 = e0) % 24.39/6.31 | % 24.39/6.31 | From (876) and (146) follows: % 24.39/6.31 | (1047) op(e3, e0) = all_0_30_30 % 24.39/6.31 | % 24.39/6.31 | From (876) and (218) follows: % 24.39/6.31 | (1048) op(e1, e0) = e3 % 24.39/6.31 | % 24.39/6.31 +-Applying beta-rule and splitting (244), into two cases. % 24.39/6.31 |-Branch one: % 24.39/6.31 | (743) all_0_48_48 = e2 % 24.39/6.31 | % 24.39/6.31 | Equations (743) can reduce 363 to: % 24.39/6.31 | (298) $false % 24.39/6.31 | % 24.39/6.31 |-The branch is then unsatisfiable % 24.39/6.31 |-Branch two: % 24.39/6.31 | (363) ~ (all_0_48_48 = e2) % 24.39/6.31 | (927) all_0_52_52 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 24.39/6.31 | % 24.39/6.31 +-Applying beta-rule and splitting (167), into two cases. % 24.39/6.31 |-Branch one: % 24.39/6.31 | (310) all_0_43_43 = e1 % 24.39/6.31 | % 24.39/6.31 | Equations (310) can reduce 238 to: % 24.39/6.31 | (254) ~ (all_0_40_40 = e1) % 24.39/6.31 | % 24.39/6.31 | Equations (310) can reduce 20 to: % 24.39/6.31 | (256) ~ (all_0_42_42 = e1) % 24.39/6.31 | % 24.39/6.31 | Equations (310) can reduce 301 to: % 24.39/6.31 | (231) ~ (e1 = e0) % 24.39/6.31 | % 24.39/6.31 | From (310) and (11) follows: % 24.39/6.31 | (7206) op(e1, e0) = all_0_7_7 % 24.39/6.31 | % 24.39/6.31 | From (310) and (34) follows: % 24.39/6.31 | (7207) op(e4, e0) = e1 % 24.39/6.31 | % 24.39/6.31 +-Applying beta-rule and splitting (927), into two cases. % 24.39/6.31 |-Branch one: % 24.39/6.31 | (938) all_0_52_52 = e2 % 24.39/6.31 | % 24.39/6.31 | Equations (938) can reduce 234 to: % 24.39/6.31 | (398) ~ (all_0_50_50 = e2) % 24.39/6.31 | % 24.39/6.31 | Equations (938) can reduce 22 to: % 24.39/6.31 | (885) ~ (all_0_51_51 = e2) % 24.39/6.31 | % 24.39/6.31 | Equations (938) can reduce 95 to: % 24.39/6.31 | (401) ~ (e3 = e2) % 24.39/6.31 | % 24.39/6.31 | Simplifying 401 yields: % 24.39/6.31 | (213) ~ (e3 = e2) % 24.39/6.31 | % 24.39/6.31 +-Applying beta-rule and splitting (147), into two cases. % 24.39/6.31 |-Branch one: % 24.39/6.31 | (453) all_0_42_42 = e1 % 24.39/6.31 | % 24.39/6.31 | Equations (453) can reduce 256 to: % 24.39/6.31 | (298) $false % 24.39/6.31 | % 24.39/6.31 |-The branch is then unsatisfiable % 24.39/6.31 |-Branch two: % 24.39/6.31 | (256) ~ (all_0_42_42 = e1) % 24.39/6.31 | (5490) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_59_59 = e1 % 24.39/6.31 | % 24.39/6.31 +-Applying beta-rule and splitting (32), into two cases. % 24.39/6.31 |-Branch one: % 24.39/6.31 | (368) all_0_47_47 = e2 % 24.39/6.31 | % 24.39/6.31 | Equations (368) can reduce 361 to: % 24.39/6.31 | (298) $false % 24.39/6.31 | % 24.39/6.31 |-The branch is then unsatisfiable % 24.39/6.31 |-Branch two: % 24.39/6.31 | (361) ~ (all_0_47_47 = e2) % 24.39/6.31 | (371) all_0_51_51 = e2 | all_0_59_59 = e2 % 24.39/6.31 | % 24.39/6.32 +-Applying beta-rule and splitting (371), into two cases. % 24.39/6.32 |-Branch one: % 24.39/6.32 | (396) all_0_51_51 = e2 % 24.39/6.32 | % 24.39/6.32 | Equations (396) can reduce 885 to: % 24.39/6.32 | (298) $false % 24.39/6.32 | % 24.39/6.32 |-The branch is then unsatisfiable % 24.39/6.32 |-Branch two: % 24.39/6.32 | (885) ~ (all_0_51_51 = e2) % 24.39/6.32 | (886) all_0_59_59 = e2 % 24.39/6.32 | % 24.39/6.32 | Equations (886) can reduce 119 to: % 24.39/6.32 | (361) ~ (all_0_47_47 = e2) % 24.39/6.32 | % 24.39/6.32 | Equations (886) can reduce 73 to: % 24.39/6.32 | (885) ~ (all_0_51_51 = e2) % 24.39/6.32 | % 24.39/6.32 | Equations (886) can reduce 123 to: % 24.39/6.32 | (399) ~ (e4 = e2) % 24.39/6.32 | % 24.39/6.32 | Simplifying 399 yields: % 24.39/6.32 | (46) ~ (e4 = e2) % 24.39/6.32 | % 24.39/6.32 | Equations (886) can reduce 2156 to: % 24.39/6.32 | (134) ~ (e2 = e1) % 24.39/6.32 | % 24.39/6.32 | From (886) and (121) follows: % 24.39/6.32 | (3815) op(e2, e1) = all_0_38_38 % 24.39/6.32 | % 24.39/6.32 | From (886) and (114) follows: % 24.39/6.32 | (6209) op(e0, e1) = e2 % 24.39/6.32 | % 24.39/6.32 +-Applying beta-rule and splitting (5490), into two cases. % 24.39/6.32 |-Branch one: % 24.39/6.32 | (487) all_0_47_47 = e1 % 24.39/6.32 | % 24.39/6.32 | Equations (487) can reduce 343 to: % 24.39/6.32 | (298) $false % 24.39/6.32 | % 24.39/6.32 |-The branch is then unsatisfiable % 24.39/6.32 |-Branch two: % 24.39/6.32 | (343) ~ (all_0_47_47 = e1) % 24.39/6.32 | (6059) all_0_51_51 = e1 | all_0_59_59 = e1 % 24.39/6.32 | % 24.39/6.32 +-Applying beta-rule and splitting (6059), into two cases. % 24.39/6.32 |-Branch one: % 24.39/6.32 | (1704) all_0_51_51 = e1 % 24.39/6.32 | % 24.39/6.32 | Equations (1704) can reduce 153 to: % 24.39/6.32 | (256) ~ (all_0_42_42 = e1) % 24.39/6.32 | % 24.39/6.32 | Equations (1704) can reduce 171 to: % 24.39/6.32 | (343) ~ (all_0_47_47 = e1) % 24.39/6.32 | % 24.39/6.32 | Equations (1704) can reduce 82 to: % 24.39/6.32 | (329) ~ (all_0_49_49 = e1) % 24.39/6.32 | % 24.39/6.32 | Equations (1704) can reduce 157 to: % 24.39/6.32 | (330) ~ (all_0_50_50 = e1) % 24.39/6.32 | % 24.39/6.32 | Equations (1704) can reduce 37 to: % 24.39/6.32 | (347) ~ (e4 = e1) % 24.39/6.32 | % 24.39/6.32 | Simplifying 347 yields: % 24.39/6.32 | (115) ~ (e4 = e1) % 24.39/6.32 | % 24.39/6.32 | Equations (1704) can reduce 241 to: % 24.39/6.32 | (333) ~ (e3 = e1) % 24.39/6.32 | % 24.39/6.32 | Simplifying 333 yields: % 24.39/6.32 | (214) ~ (e3 = e1) % 24.39/6.32 | % 24.39/6.32 | Equations (1704) can reduce 885 to: % 24.39/6.32 | (263) ~ (e2 = e1) % 24.39/6.32 | % 24.39/6.32 | Simplifying 263 yields: % 24.39/6.32 | (134) ~ (e2 = e1) % 24.39/6.32 | % 24.39/6.32 | From (1704) and (149) follows: % 24.39/6.32 | (825) op(e2, e1) = e1 % 24.39/6.32 | % 24.39/6.32 +-Applying beta-rule and splitting (45), into two cases. % 24.39/6.32 |-Branch one: % 24.39/6.32 | (520) all_0_43_43 = e4 % 24.39/6.32 | % 24.39/6.32 | Combining equations (310,520) yields a new equation: % 24.39/6.32 | (535) e4 = e1 % 24.39/6.32 | % 24.39/6.32 | Equations (535) can reduce 115 to: % 24.39/6.32 | (298) $false % 24.39/6.32 | % 24.39/6.32 |-The branch is then unsatisfiable % 24.39/6.32 |-Branch two: % 24.39/6.32 | (601) ~ (all_0_43_43 = e4) % 24.39/6.32 | (602) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_60_60 = e4 % 24.39/6.32 | % 24.39/6.32 +-Applying beta-rule and splitting (602), into two cases. % 24.39/6.32 |-Branch one: % 24.39/6.32 | (687) all_0_48_48 = e4 % 24.39/6.32 | % 24.39/6.32 | Equations (687) can reduce 6 to: % 24.39/6.32 | (610) ~ (all_0_44_44 = e4) % 24.39/6.32 | % 24.39/6.32 | Equations (687) can reduce 224 to: % 24.39/6.32 | (76) ~ (all_0_47_47 = e4) % 24.39/6.32 | % 24.39/6.32 | Equations (687) can reduce 303 to: % 24.39/6.32 | (47) ~ (e4 = e0) % 24.39/6.32 | % 24.39/6.32 | From (687) and (225) follows: % 24.39/6.32 | (7257) op(e4, e3) = all_0_15_15 % 24.39/6.32 | % 24.39/6.32 | From (687) and (91) follows: % 24.39/6.32 | (6164) op(e4, e0) = all_0_16_16 % 24.39/6.32 | % 24.39/6.32 | From (687) and (202) follows: % 24.39/6.32 | (2323) op(e3, e0) = e4 % 24.39/6.32 | % 24.39/6.32 | Instantiating formula (206) with e4, e3, all_0_15_15, all_0_40_40 and discharging atoms op(e4, e3) = all_0_15_15, op(e4, e3) = all_0_40_40, yields: % 24.39/6.32 | (7260) all_0_15_15 = all_0_40_40 % 24.39/6.32 | % 24.39/6.32 | Instantiating formula (206) with e4, e0, e1, all_0_16_16 and discharging atoms op(e4, e0) = all_0_16_16, op(e4, e0) = e1, yields: % 24.39/6.32 | (7261) all_0_16_16 = e1 % 24.39/6.32 | % 24.39/6.32 | Instantiating formula (206) with e3, e0, e4, all_0_30_30 and discharging atoms op(e3, e0) = all_0_30_30, op(e3, e0) = e4, yields: % 24.39/6.32 | (5834) all_0_30_30 = e4 % 24.39/6.32 | % 24.39/6.32 | Instantiating formula (206) with e2, e3, all_0_28_28, all_0_50_50 and discharging atoms op(e2, e3) = all_0_28_28, op(e2, e3) = all_0_50_50, yields: % 24.39/6.32 | (1056) all_0_28_28 = all_0_50_50 % 24.39/6.32 | % 24.39/6.32 | Instantiating formula (206) with e2, e1, all_0_38_38, all_0_27_27 and discharging atoms op(e2, e1) = all_0_27_27, op(e2, e1) = all_0_38_38, yields: % 24.39/6.32 | (7264) all_0_27_27 = all_0_38_38 % 24.39/6.32 | % 24.39/6.32 | Instantiating formula (206) with e2, e1, e1, all_0_27_27 and discharging atoms op(e2, e1) = all_0_27_27, op(e2, e1) = e1, yields: % 24.39/6.32 | (3253) all_0_27_27 = e1 % 24.39/6.32 | % 24.39/6.32 | Instantiating formula (206) with e1, e0, e3, all_0_7_7 and discharging atoms op(e1, e0) = all_0_7_7, op(e1, e0) = e3, yields: % 24.39/6.32 | (7266) all_0_7_7 = e3 % 24.39/6.32 | % 24.39/6.32 | Combining equations (3253,7264) yields a new equation: % 24.39/6.32 | (3857) all_0_38_38 = e1 % 24.39/6.32 | % 24.39/6.32 | From (7260) and (7257) follows: % 24.39/6.32 | (233) op(e4, e3) = all_0_40_40 % 24.39/6.32 | % 24.39/6.32 | From (7261) and (6164) follows: % 24.39/6.32 | (7207) op(e4, e0) = e1 % 24.39/6.32 | % 24.39/6.32 | From (5834) and (1047) follows: % 24.39/6.32 | (2323) op(e3, e0) = e4 % 24.39/6.32 | % 24.39/6.32 | From (1056) and (1018) follows: % 24.39/6.32 | (207) op(e2, e3) = all_0_50_50 % 24.39/6.32 | % 24.39/6.32 | From (3857) and (3815) follows: % 24.39/6.32 | (825) op(e2, e1) = e1 % 24.39/6.32 | % 24.39/6.32 | From (7266) and (7206) follows: % 24.39/6.32 | (1048) op(e1, e0) = e3 % 24.39/6.32 | % 24.39/6.32 +-Applying beta-rule and splitting (105), into two cases. % 24.39/6.32 |-Branch one: % 24.39/6.32 | (457) all_0_49_49 = e1 % 24.39/6.32 | % 24.39/6.32 | Equations (457) can reduce 329 to: % 24.39/6.32 | (298) $false % 24.39/6.32 | % 24.39/6.32 |-The branch is then unsatisfiable % 24.39/6.32 |-Branch two: % 24.39/6.32 | (329) ~ (all_0_49_49 = e1) % 24.39/6.32 | (460) all_0_49_49 = e4 | all_0_49_49 = e0 % 24.39/6.32 | % 24.39/6.32 +-Applying beta-rule and splitting (92), into two cases. % 24.39/6.32 |-Branch one: % 24.39/6.32 | (453) all_0_42_42 = e1 % 24.39/6.32 | % 24.39/6.32 | Equations (453) can reduce 256 to: % 24.39/6.32 | (298) $false % 24.39/6.32 | % 24.39/6.32 |-The branch is then unsatisfiable % 24.39/6.32 |-Branch two: % 24.39/6.32 | (256) ~ (all_0_42_42 = e1) % 24.39/6.32 | (456) all_0_42_42 = e3 | all_0_42_42 = e0 % 24.39/6.32 | % 24.39/6.32 +-Applying beta-rule and splitting (54), into two cases. % 24.39/6.32 |-Branch one: % 24.39/6.32 | (500) all_0_44_44 = e0 % 24.39/6.32 | % 24.39/6.32 | Equations (500) can reduce 98 to: % 24.39/6.32 | (769) ~ (all_0_47_47 = e0) % 24.39/6.32 | % 24.39/6.32 | Simplifying 769 yields: % 24.39/6.32 | (589) ~ (all_0_47_47 = e0) % 24.39/6.32 | % 24.39/6.32 | Equations (500) can reduce 205 to: % 24.39/6.32 | (1996) ~ (all_0_49_49 = e0) % 24.39/6.32 | % 24.39/6.32 | Simplifying 1996 yields: % 24.39/6.32 | (652) ~ (all_0_49_49 = e0) % 24.39/6.32 | % 24.39/6.32 | Equations (500) can reduce 195 to: % 24.39/6.32 | (1073) ~ (all_0_56_56 = e0) % 24.39/6.32 | % 24.39/6.32 | Simplifying 1073 yields: % 24.39/6.32 | (306) ~ (all_0_56_56 = e0) % 24.39/6.32 | % 24.39/6.32 | Equations (500) can reduce 273 to: % 24.39/6.32 | (526) ~ (e1 = e0) % 24.39/6.32 | % 24.39/6.32 | Simplifying 526 yields: % 24.39/6.32 | (231) ~ (e1 = e0) % 24.39/6.32 | % 24.39/6.32 +-Applying beta-rule and splitting (165), into two cases. % 24.39/6.32 |-Branch one: % 24.39/6.32 | (487) all_0_47_47 = e1 % 24.39/6.32 | % 24.39/6.32 | Equations (487) can reduce 343 to: % 24.39/6.32 | (298) $false % 24.39/6.32 | % 24.39/6.32 |-The branch is then unsatisfiable % 24.39/6.32 |-Branch two: % 24.39/6.32 | (343) ~ (all_0_47_47 = e1) % 24.39/6.32 | (490) all_0_47_47 = e3 | all_0_47_47 = e2 | all_0_47_47 = e0 % 24.39/6.32 | % 24.39/6.32 +-Applying beta-rule and splitting (490), into two cases. % 24.39/6.32 |-Branch one: % 24.39/6.32 | (525) all_0_47_47 = e0 % 24.39/6.32 | % 24.39/6.32 | Equations (525) can reduce 589 to: % 24.39/6.32 | (298) $false % 24.39/6.32 | % 24.39/6.32 |-The branch is then unsatisfiable % 24.39/6.32 |-Branch two: % 24.39/6.32 | (589) ~ (all_0_47_47 = e0) % 24.39/6.32 | (590) all_0_47_47 = e3 | all_0_47_47 = e2 % 24.39/6.32 | % 24.39/6.32 +-Applying beta-rule and splitting (101), into two cases. % 24.39/6.32 |-Branch one: % 24.39/6.32 | (466) all_0_42_42 = e0 % 24.39/6.32 | % 24.39/6.32 | Equations (466) can reduce 204 to: % 24.39/6.32 | (745) ~ (all_0_40_40 = e0) % 24.39/6.32 | % 24.39/6.32 | Equations (466) can reduce 256 to: % 24.39/6.33 | (526) ~ (e1 = e0) % 24.39/6.33 | % 24.39/6.33 | Simplifying 526 yields: % 24.39/6.33 | (231) ~ (e1 = e0) % 24.39/6.33 | % 24.39/6.33 +-Applying beta-rule and splitting (251), into two cases. % 24.39/6.33 |-Branch one: % 24.39/6.33 | (469) all_0_42_42 = e3 % 24.39/6.33 | % 24.39/6.33 | Combining equations (469,466) yields a new equation: % 24.39/6.33 | (654) e3 = e0 % 24.39/6.33 | % 24.39/6.33 | Simplifying 654 yields: % 24.39/6.33 | (534) e3 = e0 % 24.39/6.33 | % 24.39/6.33 | Equations (534) can reduce 84 to: % 24.39/6.33 | (298) $false % 24.39/6.33 | % 24.39/6.33 |-The branch is then unsatisfiable % 24.39/6.33 |-Branch two: % 24.39/6.33 | (847) ~ (all_0_42_42 = e3) % 24.39/6.33 | (1512) all_0_47_47 = e3 | all_0_59_59 = e3 % 24.39/6.33 | % 24.39/6.33 | Equations (466) can reduce 847 to: % 24.39/6.33 | (620) ~ (e3 = e0) % 24.39/6.33 | % 24.39/6.33 | Simplifying 620 yields: % 24.39/6.33 | (84) ~ (e3 = e0) % 24.39/6.33 | % 24.39/6.33 +-Applying beta-rule and splitting (140), into two cases. % 24.39/6.33 |-Branch one: % 24.39/6.33 | (892) all_0_44_44 = e3 % 24.39/6.33 | % 24.39/6.33 | Combining equations (892,500) yields a new equation: % 24.39/6.33 | (654) e3 = e0 % 24.39/6.33 | % 24.39/6.33 | Simplifying 654 yields: % 24.39/6.33 | (534) e3 = e0 % 24.39/6.33 | % 24.39/6.33 | Equations (534) can reduce 84 to: % 24.39/6.33 | (298) $false % 24.39/6.33 | % 24.39/6.33 |-The branch is then unsatisfiable % 24.39/6.33 |-Branch two: % 24.39/6.33 | (914) ~ (all_0_44_44 = e3) % 24.39/6.33 | (915) all_0_53_53 = e3 | all_0_56_56 = e3 % 24.39/6.33 | % 24.39/6.33 +-Applying beta-rule and splitting (23), into two cases. % 24.39/6.33 |-Branch one: % 24.39/6.33 | (755) all_0_40_40 = e3 % 24.39/6.33 | % 24.39/6.33 | Equations (755) can reduce 745 to: % 24.39/6.33 | (84) ~ (e3 = e0) % 24.39/6.33 | % 24.39/6.33 +-Applying beta-rule and splitting (104), into two cases. % 24.39/6.33 |-Branch one: % 24.39/6.33 | (461) all_0_40_40 = e0 % 24.39/6.33 | % 24.39/6.33 | Combining equations (461,755) yields a new equation: % 24.39/6.33 | (534) e3 = e0 % 24.39/6.33 | % 24.39/6.33 | Equations (534) can reduce 84 to: % 24.39/6.33 | (298) $false % 24.39/6.33 | % 24.39/6.33 |-The branch is then unsatisfiable % 24.39/6.33 |-Branch two: % 24.39/6.33 | (745) ~ (all_0_40_40 = e0) % 24.39/6.33 | (1129) all_0_45_45 = e0 | all_0_50_50 = e0 | all_0_57_57 = e0 % 24.39/6.33 | % 24.39/6.33 +-Applying beta-rule and splitting (160), into two cases. % 24.39/6.33 |-Branch one: % 24.39/6.33 | (771) all_0_50_50 = e1 % 24.39/6.33 | % 24.39/6.33 | Equations (771) can reduce 330 to: % 24.39/6.33 | (298) $false % 24.39/6.33 | % 24.39/6.33 |-The branch is then unsatisfiable % 24.39/6.33 |-Branch two: % 24.39/6.33 | (330) ~ (all_0_50_50 = e1) % 24.39/6.33 | (774) all_0_50_50 = e4 | all_0_50_50 = e2 | all_0_50_50 = e0 % 24.39/6.33 | % 24.39/6.33 +-Applying beta-rule and splitting (1129), into two cases. % 24.39/6.33 |-Branch one: % 24.39/6.33 | (295) all_0_45_45 = e0 % 24.39/6.33 | % 24.39/6.33 | Combining equations (284,295) yields a new equation: % 24.39/6.33 | (296) e1 = e0 % 24.39/6.33 | % 24.39/6.33 | Simplifying 296 yields: % 24.39/6.33 | (297) e1 = e0 % 24.39/6.33 | % 24.39/6.33 | Equations (297) can reduce 231 to: % 24.39/6.33 | (298) $false % 24.39/6.33 | % 24.39/6.33 |-The branch is then unsatisfiable % 24.39/6.33 |-Branch two: % 24.39/6.33 | (299) ~ (all_0_45_45 = e0) % 24.39/6.33 | (1135) all_0_50_50 = e0 | all_0_57_57 = e0 % 24.39/6.33 | % 24.39/6.33 +-Applying beta-rule and splitting (774), into two cases. % 24.39/6.33 |-Branch one: % 24.39/6.33 | (781) all_0_50_50 = e0 % 24.39/6.33 | % 24.39/6.33 | Equations (781) can reduce 330 to: % 24.39/6.33 | (526) ~ (e1 = e0) % 24.39/6.33 | % 24.39/6.33 | Simplifying 526 yields: % 24.39/6.33 | (231) ~ (e1 = e0) % 24.39/6.33 | % 24.39/6.33 | From (781) and (207) follows: % 24.39/6.33 | (786) op(e2, e3) = e0 % 24.39/6.33 | % 24.39/6.33 +-Applying beta-rule and splitting (55), into two cases. % 24.39/6.33 |-Branch one: % 24.39/6.33 | (529) unit = e1 % 24.39/6.33 | % 24.39/6.33 | From (529) and (143) follows: % 24.39/6.33 | (429) op(e1, e3) = e3 % 24.39/6.33 | % 24.39/6.33 | From (529) and (60) follows: % 24.39/6.33 | (1391) op(e1, e0) = e0 % 24.39/6.33 | % 24.39/6.33 | From (529) and (66) follows: % 24.39/6.33 | (406) op(e2, e1) = e2 % 24.39/6.33 | % 24.39/6.33 | Instantiating formula (206) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 24.39/6.33 | (544) e2 = e1 % 24.39/6.33 | % 24.39/6.33 | Instantiating formula (206) with e1, e3, e3, e2 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e2, yields: % 24.39/6.33 | (567) e3 = e2 % 24.39/6.33 | % 24.39/6.33 | Instantiating formula (206) with e1, e0, e0, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e0, yields: % 24.39/6.33 | (534) e3 = e0 % 24.39/6.33 | % 24.39/6.33 | Combining equations (567,534) yields a new equation: % 24.39/6.33 | (568) e2 = e0 % 24.39/6.33 | % 24.39/6.33 | Simplifying 568 yields: % 24.39/6.33 | (569) e2 = e0 % 24.39/6.33 | % 24.39/6.33 | Combining equations (569,544) yields a new equation: % 24.39/6.33 | (297) e1 = e0 % 24.39/6.33 | % 24.39/6.33 | Equations (297) can reduce 231 to: % 24.39/6.33 | (298) $false % 24.39/6.33 | % 24.39/6.33 |-The branch is then unsatisfiable % 24.39/6.33 |-Branch two: % 24.39/6.33 | (540) ~ (unit = e1) % 24.39/6.33 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 24.39/6.33 | % 24.39/6.33 +-Applying beta-rule and splitting (541), into two cases. % 24.39/6.33 |-Branch one: % 24.39/6.33 | (542) unit = e0 % 24.39/6.33 | % 24.39/6.33 | From (542) and (100) follows: % 24.39/6.33 | (2926) op(e0, e1) = e1 % 24.39/6.33 | % 24.39/6.33 | Instantiating formula (206) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields: % 24.39/6.33 | (544) e2 = e1 % 24.39/6.33 | % 24.39/6.33 | Equations (544) can reduce 134 to: % 24.39/6.33 | (298) $false % 24.39/6.33 | % 24.39/6.33 |-The branch is then unsatisfiable % 24.39/6.33 |-Branch two: % 24.39/6.33 | (546) ~ (unit = e0) % 24.39/6.33 | (547) unit = e4 | unit = e3 | unit = e2 % 24.39/6.33 | % 24.39/6.33 +-Applying beta-rule and splitting (547), into two cases. % 24.39/6.33 |-Branch one: % 24.39/6.33 | (548) unit = e3 % 24.39/6.33 | % 24.39/6.33 | From (548) and (66) follows: % 24.39/6.33 | (1415) op(e2, e3) = e2 % 24.39/6.33 | % 24.39/6.33 | From (548) and (221) follows: % 24.39/6.33 | (550) op(e1, e3) = e1 % 24.39/6.33 | % 24.39/6.33 | Instantiating formula (206) with e2, e3, e2, e0 and discharging atoms op(e2, e3) = e2, op(e2, e3) = e0, yields: % 24.39/6.33 | (569) e2 = e0 % 24.39/6.33 | % 24.39/6.33 | Instantiating formula (206) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 24.39/6.33 | (544) e2 = e1 % 24.39/6.33 | % 24.39/6.33 | Combining equations (569,544) yields a new equation: % 24.39/6.33 | (297) e1 = e0 % 24.39/6.33 | % 24.39/6.33 | Equations (297) can reduce 231 to: % 24.39/6.33 | (298) $false % 24.39/6.33 | % 24.39/6.33 |-The branch is then unsatisfiable % 24.39/6.33 |-Branch two: % 24.39/6.33 | (555) ~ (unit = e3) % 24.39/6.33 | (556) unit = e4 | unit = e2 % 24.39/6.33 | % 24.39/6.33 +-Applying beta-rule and splitting (556), into two cases. % 24.39/6.33 |-Branch one: % 24.39/6.33 | (557) unit = e4 % 24.39/6.33 | % 24.39/6.33 | From (557) and (60) follows: % 24.39/6.33 | (559) op(e4, e0) = e0 % 24.39/6.33 | % 24.39/6.33 | Instantiating formula (206) with e4, e0, e0, e1 and discharging atoms op(e4, e0) = e1, op(e4, e0) = e0, yields: % 24.39/6.33 | (297) e1 = e0 % 24.39/6.33 | % 24.39/6.33 | Equations (297) can reduce 231 to: % 24.39/6.33 | (298) $false % 24.39/6.33 | % 24.39/6.33 |-The branch is then unsatisfiable % 24.39/6.33 |-Branch two: % 24.39/6.33 | (573) ~ (unit = e4) % 24.39/6.33 | (574) unit = e2 % 24.39/6.33 | % 24.39/6.33 | From (574) and (67) follows: % 24.39/6.33 | (578) op(e0, e2) = e0 % 24.39/6.33 | % 24.39/6.33 | Instantiating formula (206) with e0, e2, e0, e1 and discharging atoms op(e0, e2) = e1, op(e0, e2) = e0, yields: % 24.39/6.33 | (297) e1 = e0 % 24.39/6.33 | % 24.39/6.33 | Equations (297) can reduce 231 to: % 24.39/6.33 | (298) $false % 24.39/6.33 | % 24.39/6.33 |-The branch is then unsatisfiable % 24.39/6.33 |-Branch two: % 24.39/6.33 | (661) ~ (all_0_50_50 = e0) % 24.39/6.33 | (834) all_0_50_50 = e4 | all_0_50_50 = e2 % 24.39/6.33 | % 24.39/6.33 +-Applying beta-rule and splitting (1135), into two cases. % 24.39/6.33 |-Branch one: % 24.39/6.33 | (781) all_0_50_50 = e0 % 24.39/6.33 | % 24.39/6.33 | Equations (781) can reduce 661 to: % 24.39/6.33 | (298) $false % 24.39/6.33 | % 24.39/6.33 |-The branch is then unsatisfiable % 24.39/6.33 |-Branch two: % 24.39/6.33 | (661) ~ (all_0_50_50 = e0) % 24.39/6.33 | (1242) all_0_57_57 = e0 % 24.39/6.33 | % 24.39/6.33 | Equations (1242) can reduce 307 to: % 24.39/6.33 | (298) $false % 24.39/6.33 | % 24.39/6.33 |-The branch is then unsatisfiable % 24.39/6.33 |-Branch two: % 24.39/6.33 | (425) ~ (all_0_40_40 = e3) % 24.39/6.33 | (1257) all_0_42_42 = e3 | all_0_43_43 = e3 % 24.39/6.33 | % 24.39/6.33 +-Applying beta-rule and splitting (70), into two cases. % 24.39/6.33 |-Branch one: % 24.39/6.33 | (314) all_0_56_56 = e1 % 24.39/6.33 | % 24.39/6.33 | Equations (314) can reduce 279 to: % 24.39/6.33 | (298) $false % 24.39/6.33 | % 24.39/6.33 |-The branch is then unsatisfiable % 24.39/6.33 |-Branch two: % 24.39/6.33 | (279) ~ (all_0_56_56 = e1) % 24.39/6.33 | (1499) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0 % 24.39/6.33 | % 24.39/6.33 +-Applying beta-rule and splitting (915), into two cases. % 24.39/6.33 |-Branch one: % 24.39/6.33 | (419) all_0_53_53 = e3 % 24.39/6.33 | % 24.39/6.33 | Combining equations (272,419) yields a new equation: % 24.39/6.33 | (420) e3 = e1 % 24.39/6.33 | % 24.39/6.33 | Equations (420) can reduce 214 to: % 24.39/6.33 | (298) $false % 24.39/6.33 | % 24.39/6.33 |-The branch is then unsatisfiable % 24.39/6.33 |-Branch two: % 24.39/6.33 | (422) ~ (all_0_53_53 = e3) % 24.39/6.33 | (376) all_0_56_56 = e3 % 24.39/6.33 | % 24.39/6.33 | Equations (376) can reduce 279 to: % 24.39/6.33 | (214) ~ (e3 = e1) % 24.39/6.33 | % 24.39/6.33 | Equations (376) can reduce 306 to: % 24.39/6.33 | (84) ~ (e3 = e0) % 24.39/6.33 | % 24.39/6.33 +-Applying beta-rule and splitting (1257), into two cases. % 24.39/6.33 |-Branch one: % 24.39/6.33 | (469) all_0_42_42 = e3 % 24.39/6.33 | % 24.39/6.33 | Combining equations (469,466) yields a new equation: % 24.39/6.33 | (654) e3 = e0 % 24.39/6.33 | % 24.39/6.33 | Simplifying 654 yields: % 24.39/6.33 | (534) e3 = e0 % 24.39/6.33 | % 24.39/6.33 | Equations (534) can reduce 84 to: % 24.39/6.33 | (298) $false % 24.39/6.33 | % 24.39/6.33 |-The branch is then unsatisfiable % 24.39/6.33 |-Branch two: % 24.39/6.33 | (847) ~ (all_0_42_42 = e3) % 24.39/6.33 | (475) all_0_43_43 = e3 % 24.39/6.33 | % 24.39/6.33 | Combining equations (475,310) yields a new equation: % 24.39/6.33 | (1084) e3 = e1 % 24.39/6.33 | % 24.39/6.33 | Simplifying 1084 yields: % 24.39/6.33 | (420) e3 = e1 % 24.39/6.33 | % 24.39/6.33 | Equations (420) can reduce 214 to: % 24.39/6.33 | (298) $false % 24.39/6.33 | % 24.39/6.33 |-The branch is then unsatisfiable % 24.39/6.33 |-Branch two: % 24.39/6.33 | (463) ~ (all_0_42_42 = e0) % 24.39/6.33 | (841) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_59_59 = e0 % 24.39/6.33 | % 24.39/6.33 +-Applying beta-rule and splitting (212), into two cases. % 24.39/6.33 |-Branch one: % 24.39/6.33 | (461) all_0_40_40 = e0 % 24.39/6.33 | % 24.39/6.33 | Equations (461) can reduce 75 to: % 24.39/6.33 | (660) ~ (all_0_50_50 = e0) % 24.39/6.33 | % 24.39/6.33 | Simplifying 660 yields: % 24.39/6.33 | (661) ~ (all_0_50_50 = e0) % 24.39/6.33 | % 24.39/6.33 | Equations (461) can reduce 483 to: % 24.39/6.33 | (485) ~ (e4 = e0) % 24.39/6.33 | % 24.39/6.33 | Simplifying 485 yields: % 24.39/6.33 | (47) ~ (e4 = e0) % 24.39/6.33 | % 24.39/6.33 | Equations (461) can reduce 246 to: % 24.39/6.33 | (782) ~ (e2 = e0) % 24.39/6.33 | % 24.39/6.33 | Simplifying 782 yields: % 24.39/6.33 | (139) ~ (e2 = e0) % 24.39/6.33 | % 24.39/6.33 | Equations (461) can reduce 254 to: % 24.39/6.33 | (526) ~ (e1 = e0) % 24.39/6.33 | % 24.39/6.33 | Simplifying 526 yields: % 24.39/6.33 | (231) ~ (e1 = e0) % 24.39/6.33 | % 24.39/6.33 +-Applying beta-rule and splitting (140), into two cases. % 24.39/6.33 |-Branch one: % 24.39/6.33 | (892) all_0_44_44 = e3 % 24.39/6.33 | % 24.39/6.33 | Combining equations (892,500) yields a new equation: % 24.39/6.33 | (654) e3 = e0 % 24.39/6.33 | % 24.39/6.33 | Simplifying 654 yields: % 24.39/6.33 | (534) e3 = e0 % 24.39/6.33 | % 24.39/6.33 | Equations (534) can reduce 84 to: % 24.39/6.33 | (298) $false % 24.39/6.33 | % 24.39/6.33 |-The branch is then unsatisfiable % 24.39/6.33 |-Branch two: % 24.39/6.33 | (914) ~ (all_0_44_44 = e3) % 24.39/6.33 | (915) all_0_53_53 = e3 | all_0_56_56 = e3 % 24.39/6.33 | % 24.39/6.33 | Equations (500) can reduce 914 to: % 24.39/6.33 | (620) ~ (e3 = e0) % 24.39/6.33 | % 24.39/6.33 | Simplifying 620 yields: % 24.39/6.33 | (84) ~ (e3 = e0) % 24.39/6.33 | % 24.39/6.33 +-Applying beta-rule and splitting (4), into two cases. % 24.39/6.33 |-Branch one: % 24.39/6.33 | (755) all_0_40_40 = e3 % 24.39/6.33 | % 24.39/6.33 | Combining equations (755,461) yields a new equation: % 24.39/6.33 | (654) e3 = e0 % 24.39/6.33 | % 24.39/6.33 | Simplifying 654 yields: % 24.39/6.33 | (534) e3 = e0 % 24.39/6.33 | % 24.39/6.33 | Equations (534) can reduce 84 to: % 24.39/6.33 | (298) $false % 24.39/6.33 | % 24.39/6.33 |-The branch is then unsatisfiable % 24.39/6.33 |-Branch two: % 24.39/6.33 | (425) ~ (all_0_40_40 = e3) % 24.39/6.33 | (1265) all_0_45_45 = e3 | all_0_54_54 = e3 | all_0_57_57 = e3 % 24.39/6.33 | % 24.39/6.33 | Equations (461) can reduce 425 to: % 24.39/6.33 | (620) ~ (e3 = e0) % 24.39/6.33 | % 24.39/6.33 | Simplifying 620 yields: % 24.39/6.33 | (84) ~ (e3 = e0) % 24.39/6.33 | % 24.39/6.33 +-Applying beta-rule and splitting (1265), into two cases. % 24.39/6.33 |-Branch one: % 24.39/6.33 | (1083) all_0_45_45 = e3 % 24.39/6.33 | % 24.39/6.33 | Combining equations (1083,284) yields a new equation: % 24.39/6.33 | (1084) e3 = e1 % 24.39/6.33 | % 24.39/6.33 | Simplifying 1084 yields: % 24.39/6.33 | (420) e3 = e1 % 24.39/6.33 | % 24.39/6.33 | Equations (420) can reduce 214 to: % 24.39/6.33 | (298) $false % 24.39/6.33 | % 24.39/6.33 |-The branch is then unsatisfiable % 24.39/6.33 |-Branch two: % 24.39/6.33 | (1087) ~ (all_0_45_45 = e3) % 24.39/6.33 | (1271) all_0_54_54 = e3 | all_0_57_57 = e3 % 24.39/6.33 | % 24.39/6.33 | Equations (284) can reduce 1087 to: % 24.39/6.33 | (333) ~ (e3 = e1) % 24.39/6.33 | % 24.39/6.33 | Simplifying 333 yields: % 24.39/6.33 | (214) ~ (e3 = e1) % 24.39/6.33 | % 24.39/6.33 +-Applying beta-rule and splitting (23), into two cases. % 24.39/6.33 |-Branch one: % 24.39/6.33 | (755) all_0_40_40 = e3 % 24.39/6.33 | % 24.39/6.33 | Combining equations (755,461) yields a new equation: % 24.39/6.33 | (654) e3 = e0 % 24.39/6.33 | % 24.39/6.33 | Simplifying 654 yields: % 24.39/6.33 | (534) e3 = e0 % 24.39/6.33 | % 24.39/6.33 | Equations (534) can reduce 84 to: % 24.39/6.33 | (298) $false % 24.39/6.33 | % 24.39/6.33 |-The branch is then unsatisfiable % 24.39/6.33 |-Branch two: % 24.39/6.33 | (425) ~ (all_0_40_40 = e3) % 24.39/6.33 | (1257) all_0_42_42 = e3 | all_0_43_43 = e3 % 24.39/6.33 | % 24.39/6.33 | Equations (461) can reduce 425 to: % 24.39/6.33 | (620) ~ (e3 = e0) % 24.39/6.33 | % 24.39/6.33 | Simplifying 620 yields: % 24.39/6.33 | (84) ~ (e3 = e0) % 24.39/6.33 | % 24.39/6.33 +-Applying beta-rule and splitting (163), into two cases. % 24.39/6.33 |-Branch one: % 24.39/6.33 | (892) all_0_44_44 = e3 % 24.39/6.33 | % 24.39/6.33 | Combining equations (892,500) yields a new equation: % 24.39/6.33 | (654) e3 = e0 % 24.39/6.33 | % 24.39/6.33 | Simplifying 654 yields: % 24.39/6.33 | (534) e3 = e0 % 24.39/6.33 | % 24.39/6.33 | Equations (534) can reduce 84 to: % 24.39/6.33 | (298) $false % 24.39/6.33 | % 24.39/6.33 |-The branch is then unsatisfiable % 24.39/6.33 |-Branch two: % 24.39/6.33 | (914) ~ (all_0_44_44 = e3) % 24.39/6.33 | (1082) all_0_45_45 = e3 | all_0_47_47 = e3 | all_0_48_48 = e3 % 24.39/6.33 | % 24.39/6.33 +-Applying beta-rule and splitting (1082), into two cases. % 24.39/6.33 |-Branch one: % 24.39/6.33 | (1083) all_0_45_45 = e3 % 24.39/6.33 | % 24.39/6.33 | Combining equations (1083,284) yields a new equation: % 24.39/6.33 | (1084) e3 = e1 % 24.39/6.33 | % 24.39/6.33 | Simplifying 1084 yields: % 24.39/6.33 | (420) e3 = e1 % 24.39/6.33 | % 24.39/6.33 | Equations (420) can reduce 214 to: % 24.39/6.33 | (298) $false % 24.39/6.33 | % 24.39/6.33 |-The branch is then unsatisfiable % 24.39/6.33 |-Branch two: % 24.39/6.33 | (1087) ~ (all_0_45_45 = e3) % 24.39/6.33 | (1088) all_0_47_47 = e3 | all_0_48_48 = e3 % 24.39/6.33 | % 24.39/6.33 | Equations (284) can reduce 1087 to: % 24.39/6.33 | (333) ~ (e3 = e1) % 24.39/6.33 | % 24.39/6.33 | Simplifying 333 yields: % 24.39/6.33 | (214) ~ (e3 = e1) % 24.39/6.33 | % 24.39/6.33 +-Applying beta-rule and splitting (915), into two cases. % 24.39/6.33 |-Branch one: % 24.39/6.33 | (419) all_0_53_53 = e3 % 24.39/6.33 | % 24.39/6.33 | Combining equations (272,419) yields a new equation: % 24.39/6.33 | (420) e3 = e1 % 24.39/6.33 | % 24.39/6.33 | Equations (420) can reduce 214 to: % 24.39/6.33 | (298) $false % 24.39/6.33 | % 24.39/6.33 |-The branch is then unsatisfiable % 24.39/6.33 |-Branch two: % 24.39/6.33 | (422) ~ (all_0_53_53 = e3) % 24.39/6.33 | (376) all_0_56_56 = e3 % 24.39/6.33 | % 24.39/6.33 +-Applying beta-rule and splitting (63), into two cases. % 24.39/6.33 |-Branch one: % 24.39/6.33 | (495) all_0_44_44 = e4 % 24.39/6.33 | % 24.39/6.33 | Combining equations (495,500) yields a new equation: % 24.39/6.33 | (480) e4 = e0 % 24.39/6.33 | % 24.39/6.33 | Simplifying 480 yields: % 24.39/6.33 | (481) e4 = e0 % 24.39/6.33 | % 24.39/6.33 | Equations (481) can reduce 47 to: % 24.39/6.33 | (298) $false % 24.39/6.33 | % 24.39/6.33 |-The branch is then unsatisfiable % 24.39/6.33 |-Branch two: % 24.39/6.33 | (610) ~ (all_0_44_44 = e4) % 24.39/6.34 | (615) all_0_49_49 = e4 | all_0_56_56 = e4 % 24.39/6.34 | % 24.39/6.34 +-Applying beta-rule and splitting (590), into two cases. % 24.39/6.34 |-Branch one: % 24.39/6.34 | (591) all_0_47_47 = e3 % 24.39/6.34 | % 24.39/6.34 | Equations (591) can reduce 76 to: % 24.39/6.34 | (472) ~ (e4 = e3) % 24.39/6.34 | % 24.39/6.34 | Simplifying 472 yields: % 24.39/6.34 | (184) ~ (e4 = e3) % 24.39/6.34 | % 24.39/6.34 +-Applying beta-rule and splitting (615), into two cases. % 24.39/6.34 |-Branch one: % 24.39/6.34 | (506) all_0_49_49 = e4 % 24.39/6.34 | % 24.39/6.34 | Equations (506) can reduce 652 to: % 24.39/6.34 | (47) ~ (e4 = e0) % 24.39/6.34 | % 24.39/6.34 +-Applying beta-rule and splitting (125), into two cases. % 24.39/6.34 |-Branch one: % 24.39/6.34 | (479) all_0_40_40 = e4 % 24.39/6.34 | % 24.39/6.34 | Combining equations (479,461) yields a new equation: % 24.39/6.34 | (480) e4 = e0 % 24.39/6.34 | % 24.39/6.34 | Simplifying 480 yields: % 24.39/6.34 | (481) e4 = e0 % 24.39/6.34 | % 24.39/6.34 | Equations (481) can reduce 47 to: % 24.39/6.34 | (298) $false % 24.39/6.34 | % 24.39/6.34 |-The branch is then unsatisfiable % 24.39/6.34 |-Branch two: % 24.39/6.34 | (483) ~ (all_0_40_40 = e4) % 24.39/6.34 | (484) all_0_45_45 = e4 | all_0_50_50 = e4 | all_0_57_57 = e4 % 24.39/6.34 | % 24.39/6.34 | Equations (461) can reduce 483 to: % 24.39/6.34 | (485) ~ (e4 = e0) % 24.39/6.34 | % 24.39/6.34 | Simplifying 485 yields: % 24.39/6.34 | (47) ~ (e4 = e0) % 24.39/6.34 | % 24.39/6.34 +-Applying beta-rule and splitting (129), into two cases. % 24.39/6.34 |-Branch one: % 24.39/6.34 | (637) all_0_49_49 = e0 % 24.39/6.34 | % 24.39/6.34 | Combining equations (506,637) yields a new equation: % 24.39/6.34 | (480) e4 = e0 % 24.39/6.34 | % 24.39/6.34 | Simplifying 480 yields: % 24.39/6.34 | (481) e4 = e0 % 24.39/6.34 | % 24.39/6.34 | Equations (481) can reduce 47 to: % 24.39/6.34 | (298) $false % 24.39/6.34 | % 24.39/6.34 |-The branch is then unsatisfiable % 24.39/6.34 |-Branch two: % 24.39/6.34 | (652) ~ (all_0_49_49 = e0) % 24.39/6.34 | (682) all_0_50_50 = e0 | all_0_51_51 = e0 | all_0_52_52 = e0 % 24.39/6.34 | % 24.39/6.34 +-Applying beta-rule and splitting (682), into two cases. % 24.39/6.34 |-Branch one: % 24.39/6.34 | (781) all_0_50_50 = e0 % 24.39/6.34 | % 24.39/6.34 | Equations (781) can reduce 661 to: % 24.39/6.34 | (298) $false % 24.39/6.34 | % 24.39/6.34 |-The branch is then unsatisfiable % 24.39/6.34 |-Branch two: % 24.39/6.34 | (661) ~ (all_0_50_50 = e0) % 24.39/6.34 | (2072) all_0_51_51 = e0 | all_0_52_52 = e0 % 24.39/6.34 | % 24.39/6.34 +-Applying beta-rule and splitting (2072), into two cases. % 24.39/6.34 |-Branch one: % 24.39/6.34 | (1730) all_0_51_51 = e0 % 24.39/6.34 | % 24.39/6.34 | Combining equations (1704,1730) yields a new equation: % 24.39/6.34 | (296) e1 = e0 % 24.39/6.34 | % 24.39/6.34 | Simplifying 296 yields: % 24.39/6.34 | (297) e1 = e0 % 24.39/6.34 | % 24.39/6.34 | Equations (297) can reduce 231 to: % 24.39/6.34 | (298) $false % 24.39/6.34 | % 24.39/6.34 |-The branch is then unsatisfiable % 24.39/6.34 |-Branch two: % 24.39/6.34 | (1871) ~ (all_0_51_51 = e0) % 24.39/6.34 | (2078) all_0_52_52 = e0 % 24.39/6.34 | % 24.39/6.34 | Combining equations (938,2078) yields a new equation: % 24.39/6.34 | (568) e2 = e0 % 24.39/6.34 | % 24.39/6.34 | Simplifying 568 yields: % 24.39/6.34 | (569) e2 = e0 % 24.39/6.34 | % 24.39/6.34 | Equations (569) can reduce 139 to: % 24.39/6.34 | (298) $false % 24.39/6.34 | % 24.39/6.34 |-The branch is then unsatisfiable % 24.39/6.34 |-Branch two: % 24.39/6.34 | (497) ~ (all_0_49_49 = e4) % 24.39/6.34 | (390) all_0_56_56 = e4 % 24.39/6.34 | % 24.39/6.34 | Combining equations (376,390) yields a new equation: % 24.39/6.34 | (392) e4 = e3 % 24.39/6.34 | % 24.39/6.34 | Equations (392) can reduce 184 to: % 24.39/6.34 | (298) $false % 24.39/6.34 | % 24.39/6.34 |-The branch is then unsatisfiable % 24.39/6.34 |-Branch two: % 24.39/6.34 | (493) ~ (all_0_47_47 = e3) % 24.39/6.34 | (368) all_0_47_47 = e2 % 24.39/6.34 | % 24.39/6.34 | Equations (368) can reduce 361 to: % 24.39/6.34 | (298) $false % 24.39/6.34 | % 24.39/6.34 |-The branch is then unsatisfiable % 24.39/6.34 |-Branch two: % 24.39/6.34 | (745) ~ (all_0_40_40 = e0) % 24.39/6.34 | (746) all_0_42_42 = e0 | all_0_43_43 = e0 % 24.39/6.34 | % 24.39/6.34 +-Applying beta-rule and splitting (746), into two cases. % 24.39/6.34 |-Branch one: % 24.39/6.34 | (466) all_0_42_42 = e0 % 24.39/6.34 | % 24.39/6.34 | Equations (466) can reduce 463 to: % 24.39/6.34 | (298) $false % 24.39/6.34 | % 24.39/6.34 |-The branch is then unsatisfiable % 24.39/6.34 |-Branch two: % 24.39/6.34 | (463) ~ (all_0_42_42 = e0) % 24.39/6.34 | (1253) all_0_43_43 = e0 % 24.39/6.34 | % 24.39/6.34 | Combining equations (1253,310) yields a new equation: % 24.39/6.34 | (297) e1 = e0 % 24.39/6.34 | % 24.39/6.34 | Equations (297) can reduce 231 to: % 24.39/6.34 | (298) $false % 24.39/6.34 | % 24.39/6.34 |-The branch is then unsatisfiable % 24.39/6.34 |-Branch two: % 24.39/6.34 | (503) ~ (all_0_44_44 = e0) % 24.39/6.34 | (504) all_0_49_49 = e0 | all_0_56_56 = e0 % 24.39/6.34 | % 24.39/6.34 +-Applying beta-rule and splitting (10), into two cases. % 24.39/6.34 |-Branch one: % 24.39/6.34 | (500) all_0_44_44 = e0 % 24.39/6.34 | % 24.39/6.34 | Equations (500) can reduce 503 to: % 24.39/6.34 | (298) $false % 24.39/6.34 | % 24.39/6.34 |-The branch is then unsatisfiable % 24.39/6.34 |-Branch two: % 24.39/6.34 | (503) ~ (all_0_44_44 = e0) % 24.39/6.34 | (1310) all_0_45_45 = e0 | all_0_47_47 = e0 | all_0_48_48 = e0 % 24.39/6.34 | % 24.39/6.34 +-Applying beta-rule and splitting (1310), into two cases. % 24.39/6.34 |-Branch one: % 24.39/6.34 | (295) all_0_45_45 = e0 % 24.39/6.34 | % 24.39/6.34 | Combining equations (295,284) yields a new equation: % 24.39/6.34 | (297) e1 = e0 % 24.39/6.34 | % 24.39/6.34 | Equations (297) can reduce 231 to: % 24.39/6.34 | (298) $false % 24.39/6.34 | % 24.39/6.34 |-The branch is then unsatisfiable % 24.39/6.34 |-Branch two: % 24.39/6.34 | (299) ~ (all_0_45_45 = e0) % 24.39/6.34 | (1315) all_0_47_47 = e0 | all_0_48_48 = e0 % 24.39/6.34 | % 24.39/6.34 +-Applying beta-rule and splitting (1315), into two cases. % 24.39/6.34 |-Branch one: % 24.39/6.34 | (525) all_0_47_47 = e0 % 24.39/6.34 | % 24.39/6.34 | Equations (525) can reduce 98 to: % 24.39/6.34 | (503) ~ (all_0_44_44 = e0) % 24.39/6.34 | % 24.39/6.34 | Equations (525) can reduce 343 to: % 24.39/6.34 | (526) ~ (e1 = e0) % 24.39/6.34 | % 24.39/6.34 | Simplifying 526 yields: % 24.39/6.34 | (231) ~ (e1 = e0) % 24.39/6.34 | % 24.39/6.34 +-Applying beta-rule and splitting (212), into two cases. % 24.39/6.34 |-Branch one: % 24.39/6.34 | (461) all_0_40_40 = e0 % 24.39/6.34 | % 24.39/6.34 | Equations (461) can reduce 204 to: % 24.39/6.34 | (462) ~ (all_0_42_42 = e0) % 24.39/6.34 | % 24.39/6.34 | Simplifying 462 yields: % 24.39/6.34 | (463) ~ (all_0_42_42 = e0) % 24.39/6.34 | % 24.39/6.34 | From (461) and (233) follows: % 24.39/6.34 | (4072) op(e4, e3) = e0 % 24.39/6.34 | % 24.39/6.34 +-Applying beta-rule and splitting (251), into two cases. % 24.39/6.34 |-Branch one: % 24.39/6.34 | (469) all_0_42_42 = e3 % 24.39/6.34 | % 24.39/6.34 | Equations (469) can reduce 256 to: % 24.39/6.34 | (214) ~ (e3 = e1) % 24.39/6.34 | % 24.39/6.34 | Equations (469) can reduce 463 to: % 24.39/6.34 | (84) ~ (e3 = e0) % 24.39/6.34 | % 24.39/6.34 | From (469) and (2) follows: % 24.39/6.34 | (474) op(e4, e1) = e3 % 24.39/6.34 | % 24.39/6.34 +-Applying beta-rule and splitting (4), into two cases. % 24.39/6.34 |-Branch one: % 24.39/6.34 | (755) all_0_40_40 = e3 % 24.39/6.34 | % 24.39/6.34 | Combining equations (755,461) yields a new equation: % 24.39/6.34 | (654) e3 = e0 % 24.39/6.34 | % 24.39/6.34 | Simplifying 654 yields: % 24.39/6.34 | (534) e3 = e0 % 24.39/6.34 | % 24.39/6.34 | Equations (534) can reduce 84 to: % 24.39/6.34 | (298) $false % 24.39/6.34 | % 24.39/6.34 |-The branch is then unsatisfiable % 24.39/6.34 |-Branch two: % 24.39/6.34 | (425) ~ (all_0_40_40 = e3) % 24.39/6.34 | (1265) all_0_45_45 = e3 | all_0_54_54 = e3 | all_0_57_57 = e3 % 24.39/6.34 | % 24.39/6.34 +-Applying beta-rule and splitting (160), into two cases. % 24.39/6.34 |-Branch one: % 24.39/6.34 | (771) all_0_50_50 = e1 % 24.39/6.34 | % 24.39/6.34 | Equations (771) can reduce 330 to: % 24.39/6.34 | (298) $false % 24.39/6.34 | % 24.39/6.34 |-The branch is then unsatisfiable % 24.39/6.34 |-Branch two: % 24.39/6.34 | (330) ~ (all_0_50_50 = e1) % 24.39/6.34 | (774) all_0_50_50 = e4 | all_0_50_50 = e2 | all_0_50_50 = e0 % 24.39/6.34 | % 24.39/6.34 +-Applying beta-rule and splitting (163), into two cases. % 24.39/6.34 |-Branch one: % 24.39/6.34 | (892) all_0_44_44 = e3 % 24.39/6.34 | % 24.39/6.34 | From (892) and (124) follows: % 24.39/6.34 | (561) op(e3, e4) = e3 % 24.39/6.34 | % 24.39/6.34 +-Applying beta-rule and splitting (129), into two cases. % 24.39/6.34 |-Branch one: % 24.39/6.34 | (637) all_0_49_49 = e0 % 24.39/6.34 | % 24.39/6.34 | Equations (637) can reduce 189 to: % 24.39/6.34 | (660) ~ (all_0_50_50 = e0) % 24.39/6.34 | % 24.39/6.34 | Simplifying 660 yields: % 24.39/6.34 | (661) ~ (all_0_50_50 = e0) % 24.39/6.34 | % 24.39/6.34 | Equations (637) can reduce 329 to: % 24.39/6.34 | (526) ~ (e1 = e0) % 24.39/6.34 | % 24.39/6.34 | Simplifying 526 yields: % 24.39/6.34 | (231) ~ (e1 = e0) % 24.39/6.34 | % 24.39/6.34 +-Applying beta-rule and splitting (774), into two cases. % 24.39/6.34 |-Branch one: % 24.39/6.34 | (781) all_0_50_50 = e0 % 24.39/6.34 | % 24.39/6.34 | Equations (781) can reduce 661 to: % 24.39/6.34 | (298) $false % 24.39/6.34 | % 24.39/6.34 |-The branch is then unsatisfiable % 24.39/6.34 |-Branch two: % 24.39/6.34 | (661) ~ (all_0_50_50 = e0) % 24.39/6.34 | (834) all_0_50_50 = e4 | all_0_50_50 = e2 % 24.39/6.34 | % 24.39/6.34 +-Applying beta-rule and splitting (834), into two cases. % 24.39/6.34 |-Branch one: % 24.39/6.34 | (523) all_0_50_50 = e4 % 24.39/6.34 | % 24.39/6.34 | From (523) and (207) follows: % 24.39/6.34 | (524) op(e2, e3) = e4 % 24.39/6.34 | % 24.39/6.34 +-Applying beta-rule and splitting (55), into two cases. % 24.39/6.34 |-Branch one: % 24.39/6.34 | (529) unit = e1 % 24.39/6.34 | % 24.39/6.34 | From (529) and (143) follows: % 24.39/6.34 | (429) op(e1, e3) = e3 % 24.39/6.34 | % 24.39/6.34 | From (529) and (60) follows: % 24.39/6.34 | (1391) op(e1, e0) = e0 % 24.39/6.34 | % 24.39/6.34 | From (529) and (66) follows: % 24.39/6.34 | (406) op(e2, e1) = e2 % 24.39/6.34 | % 24.39/6.34 | Instantiating formula (206) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 24.39/6.34 | (544) e2 = e1 % 24.39/6.34 | % 24.39/6.34 | Instantiating formula (206) with e1, e3, e3, e2 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e2, yields: % 24.39/6.34 | (567) e3 = e2 % 24.39/6.34 | % 24.39/6.34 | Instantiating formula (206) with e1, e0, e0, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e0, yields: % 24.39/6.34 | (534) e3 = e0 % 24.39/6.34 | % 24.39/6.34 | Combining equations (567,534) yields a new equation: % 24.39/6.34 | (568) e2 = e0 % 24.39/6.34 | % 24.39/6.34 | Simplifying 568 yields: % 24.39/6.34 | (569) e2 = e0 % 24.39/6.34 | % 24.39/6.34 | Combining equations (569,544) yields a new equation: % 24.39/6.34 | (297) e1 = e0 % 24.39/6.34 | % 24.39/6.34 | Equations (297) can reduce 231 to: % 24.39/6.34 | (298) $false % 24.39/6.34 | % 24.39/6.34 |-The branch is then unsatisfiable % 24.39/6.34 |-Branch two: % 24.39/6.34 | (540) ~ (unit = e1) % 24.39/6.34 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 24.39/6.34 | % 24.39/6.34 +-Applying beta-rule and splitting (541), into two cases. % 24.39/6.34 |-Branch one: % 24.39/6.34 | (542) unit = e0 % 24.39/6.34 | % 24.39/6.34 | From (542) and (100) follows: % 24.39/6.34 | (2926) op(e0, e1) = e1 % 24.39/6.34 | % 24.39/6.34 | Instantiating formula (206) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields: % 24.39/6.34 | (544) e2 = e1 % 24.39/6.34 | % 24.39/6.34 | Equations (544) can reduce 134 to: % 24.39/6.34 | (298) $false % 24.39/6.34 | % 24.39/6.34 |-The branch is then unsatisfiable % 24.39/6.34 |-Branch two: % 24.39/6.34 | (546) ~ (unit = e0) % 24.39/6.34 | (547) unit = e4 | unit = e3 | unit = e2 % 24.39/6.34 | % 24.39/6.34 +-Applying beta-rule and splitting (547), into two cases. % 24.39/6.34 |-Branch one: % 24.39/6.34 | (548) unit = e3 % 24.39/6.34 | % 24.39/6.34 | From (548) and (162) follows: % 24.39/6.34 | (499) op(e3, e4) = e4 % 24.39/6.34 | % 24.39/6.34 | From (548) and (60) follows: % 24.39/6.34 | (549) op(e3, e0) = e0 % 24.60/6.34 | % 24.60/6.34 | From (548) and (66) follows: % 24.60/6.34 | (1415) op(e2, e3) = e2 % 24.60/6.34 | % 24.60/6.34 | From (548) and (221) follows: % 24.60/6.34 | (550) op(e1, e3) = e1 % 24.60/6.34 | % 24.60/6.34 | Instantiating formula (206) with e3, e4, e4, e3 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e3, yields: % 24.60/6.34 | (392) e4 = e3 % 24.60/6.34 | % 24.60/6.34 | Instantiating formula (206) with e3, e0, e0, e4 and discharging atoms op(e3, e0) = e4, op(e3, e0) = e0, yields: % 24.60/6.34 | (481) e4 = e0 % 24.60/6.34 | % 24.60/6.34 | Instantiating formula (206) with e2, e3, e2, e4 and discharging atoms op(e2, e3) = e4, op(e2, e3) = e2, yields: % 24.60/6.34 | (409) e4 = e2 % 24.60/6.34 | % 24.60/6.34 | Instantiating formula (206) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 24.60/6.34 | (544) e2 = e1 % 24.60/6.34 | % 24.60/6.34 | Combining equations (409,392) yields a new equation: % 24.60/6.34 | (567) e3 = e2 % 24.60/6.34 | % 24.60/6.34 | Combining equations (481,392) yields a new equation: % 24.60/6.34 | (534) e3 = e0 % 24.60/6.34 | % 24.60/6.34 | Combining equations (567,534) yields a new equation: % 24.60/6.34 | (568) e2 = e0 % 24.60/6.34 | % 24.60/6.34 | Simplifying 568 yields: % 24.60/6.34 | (569) e2 = e0 % 24.60/6.34 | % 24.60/6.34 | Combining equations (569,544) yields a new equation: % 24.60/6.34 | (297) e1 = e0 % 24.60/6.34 | % 24.60/6.34 | Equations (297) can reduce 231 to: % 24.60/6.34 | (298) $false % 24.60/6.34 | % 24.60/6.34 |-The branch is then unsatisfiable % 24.60/6.34 |-Branch two: % 24.60/6.34 | (555) ~ (unit = e3) % 24.60/6.34 | (556) unit = e4 | unit = e2 % 24.60/6.34 | % 24.60/6.34 +-Applying beta-rule and splitting (556), into two cases. % 24.60/6.34 |-Branch one: % 24.60/6.34 | (557) unit = e4 % 24.60/6.34 | % 24.60/6.34 | From (557) and (143) follows: % 24.60/6.34 | (809) op(e4, e3) = e3 % 24.60/6.34 | % 24.60/6.34 | From (557) and (100) follows: % 24.60/6.34 | (2443) op(e4, e1) = e1 % 24.60/6.34 | % 24.60/6.34 | Instantiating formula (206) with e4, e3, e3, e0 and discharging atoms op(e4, e3) = e3, op(e4, e3) = e0, yields: % 24.60/6.34 | (534) e3 = e0 % 24.60/6.34 | % 24.60/6.34 | Instantiating formula (206) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 24.60/6.34 | (420) e3 = e1 % 24.60/6.34 | % 24.60/6.34 | Combining equations (420,534) yields a new equation: % 24.60/6.34 | (296) e1 = e0 % 24.60/6.34 | % 24.60/6.34 | Simplifying 296 yields: % 24.60/6.34 | (297) e1 = e0 % 24.60/6.34 | % 24.60/6.34 | Equations (297) can reduce 231 to: % 24.60/6.34 | (298) $false % 24.60/6.34 | % 24.60/6.34 |-The branch is then unsatisfiable % 24.60/6.34 |-Branch two: % 24.60/6.34 | (573) ~ (unit = e4) % 24.60/6.34 | (574) unit = e2 % 24.60/6.34 | % 24.60/6.34 | From (574) and (67) follows: % 24.60/6.34 | (578) op(e0, e2) = e0 % 24.60/6.34 | % 24.60/6.34 | Instantiating formula (206) with e0, e2, e0, e1 and discharging atoms op(e0, e2) = e1, op(e0, e2) = e0, yields: % 24.60/6.34 | (297) e1 = e0 % 24.60/6.34 | % 24.60/6.34 | Equations (297) can reduce 231 to: % 24.60/6.34 | (298) $false % 24.60/6.34 | % 24.60/6.34 |-The branch is then unsatisfiable % 24.60/6.34 |-Branch two: % 24.60/6.34 | (596) ~ (all_0_50_50 = e4) % 24.60/6.34 | (838) all_0_50_50 = e2 % 24.60/6.34 | % 24.60/6.34 | Equations (838) can reduce 398 to: % 24.60/6.34 | (298) $false % 24.60/6.34 | % 24.60/6.34 |-The branch is then unsatisfiable % 24.60/6.34 |-Branch two: % 24.60/6.34 | (652) ~ (all_0_49_49 = e0) % 24.60/6.34 | (682) all_0_50_50 = e0 | all_0_51_51 = e0 | all_0_52_52 = e0 % 24.60/6.34 | % 24.60/6.34 +-Applying beta-rule and splitting (504), into two cases. % 24.60/6.34 |-Branch one: % 24.60/6.34 | (637) all_0_49_49 = e0 % 24.60/6.34 | % 24.60/6.34 | Equations (637) can reduce 652 to: % 24.60/6.34 | (298) $false % 24.60/6.34 | % 24.60/6.34 |-The branch is then unsatisfiable % 24.60/6.34 |-Branch two: % 24.60/6.34 | (652) ~ (all_0_49_49 = e0) % 24.60/6.34 | (653) all_0_56_56 = e0 % 24.60/6.34 | % 24.60/6.35 | Equations (653) can reduce 306 to: % 24.60/6.35 | (298) $false % 24.60/6.35 | % 24.60/6.35 |-The branch is then unsatisfiable % 24.60/6.35 |-Branch two: % 24.60/6.35 | (914) ~ (all_0_44_44 = e3) % 24.60/6.35 | (1082) all_0_45_45 = e3 | all_0_47_47 = e3 | all_0_48_48 = e3 % 24.60/6.35 | % 24.60/6.35 +-Applying beta-rule and splitting (504), into two cases. % 24.60/6.35 |-Branch one: % 24.60/6.35 | (637) all_0_49_49 = e0 % 24.60/6.35 | % 24.60/6.35 | Equations (637) can reduce 189 to: % 24.60/6.35 | (660) ~ (all_0_50_50 = e0) % 24.60/6.35 | % 24.60/6.35 | Simplifying 660 yields: % 24.60/6.35 | (661) ~ (all_0_50_50 = e0) % 24.60/6.35 | % 24.60/6.35 +-Applying beta-rule and splitting (140), into two cases. % 24.60/6.35 |-Branch one: % 24.60/6.35 | (892) all_0_44_44 = e3 % 24.60/6.35 | % 24.60/6.35 | Equations (892) can reduce 914 to: % 24.60/6.35 | (298) $false % 24.60/6.35 | % 24.60/6.35 |-The branch is then unsatisfiable % 24.60/6.35 |-Branch two: % 24.60/6.35 | (914) ~ (all_0_44_44 = e3) % 24.60/6.35 | (915) all_0_53_53 = e3 | all_0_56_56 = e3 % 24.60/6.35 | % 24.60/6.35 +-Applying beta-rule and splitting (63), into two cases. % 24.60/6.35 |-Branch one: % 24.60/6.35 | (495) all_0_44_44 = e4 % 24.60/6.35 | % 24.60/6.35 | Equations (495) can reduce 610 to: % 24.60/6.35 | (298) $false % 24.60/6.35 | % 24.60/6.35 |-The branch is then unsatisfiable % 24.60/6.35 |-Branch two: % 24.60/6.35 | (610) ~ (all_0_44_44 = e4) % 24.60/6.35 | (615) all_0_49_49 = e4 | all_0_56_56 = e4 % 24.60/6.35 | % 24.60/6.35 +-Applying beta-rule and splitting (1265), into two cases. % 24.60/6.35 |-Branch one: % 24.60/6.35 | (1083) all_0_45_45 = e3 % 24.60/6.35 | % 24.60/6.35 | Combining equations (1083,284) yields a new equation: % 24.60/6.35 | (1084) e3 = e1 % 24.60/6.35 | % 24.60/6.35 | Simplifying 1084 yields: % 24.60/6.35 | (420) e3 = e1 % 24.60/6.35 | % 24.60/6.35 | Equations (420) can reduce 214 to: % 24.60/6.35 | (298) $false % 24.60/6.35 | % 24.60/6.35 |-The branch is then unsatisfiable % 24.60/6.35 |-Branch two: % 24.60/6.35 | (1087) ~ (all_0_45_45 = e3) % 24.60/6.35 | (1271) all_0_54_54 = e3 | all_0_57_57 = e3 % 24.60/6.35 | % 24.60/6.35 | Equations (284) can reduce 1087 to: % 24.60/6.35 | (333) ~ (e3 = e1) % 24.60/6.35 | % 24.60/6.35 | Simplifying 333 yields: % 24.60/6.35 | (214) ~ (e3 = e1) % 24.60/6.35 | % 24.60/6.35 +-Applying beta-rule and splitting (774), into two cases. % 24.60/6.35 |-Branch one: % 24.60/6.35 | (781) all_0_50_50 = e0 % 24.60/6.35 | % 24.60/6.35 | Equations (781) can reduce 661 to: % 24.60/6.35 | (298) $false % 24.60/6.35 | % 24.60/6.35 |-The branch is then unsatisfiable % 24.60/6.35 |-Branch two: % 24.60/6.35 | (661) ~ (all_0_50_50 = e0) % 24.60/6.35 | (834) all_0_50_50 = e4 | all_0_50_50 = e2 % 24.60/6.35 | % 24.60/6.35 +-Applying beta-rule and splitting (834), into two cases. % 24.60/6.35 |-Branch one: % 24.60/6.35 | (523) all_0_50_50 = e4 % 24.61/6.35 | % 24.61/6.35 | Equations (523) can reduce 252 to: % 24.61/6.35 | (184) ~ (e4 = e3) % 24.61/6.35 | % 24.61/6.35 | Equations (523) can reduce 661 to: % 24.61/6.35 | (47) ~ (e4 = e0) % 24.61/6.35 | % 24.61/6.35 +-Applying beta-rule and splitting (237), into two cases. % 24.61/6.35 |-Branch one: % 24.61/6.35 | (390) all_0_56_56 = e4 % 24.61/6.35 | % 24.61/6.35 +-Applying beta-rule and splitting (1082), into two cases. % 24.61/6.35 |-Branch one: % 24.61/6.35 | (1083) all_0_45_45 = e3 % 24.61/6.35 | % 24.61/6.35 | Combining equations (1083,284) yields a new equation: % 24.61/6.35 | (1084) e3 = e1 % 24.61/6.35 | % 24.61/6.35 | Simplifying 1084 yields: % 24.61/6.35 | (420) e3 = e1 % 24.61/6.35 | % 24.61/6.35 | Equations (420) can reduce 214 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.35 | (1087) ~ (all_0_45_45 = e3) % 24.61/6.35 | (1088) all_0_47_47 = e3 | all_0_48_48 = e3 % 24.61/6.35 | % 24.61/6.35 | Equations (284) can reduce 1087 to: % 24.61/6.35 | (333) ~ (e3 = e1) % 24.61/6.35 | % 24.61/6.35 | Simplifying 333 yields: % 24.61/6.35 | (214) ~ (e3 = e1) % 24.61/6.35 | % 24.61/6.35 +-Applying beta-rule and splitting (96), into two cases. % 24.61/6.35 |-Branch one: % 24.61/6.35 | (376) all_0_56_56 = e3 % 24.61/6.35 | % 24.61/6.35 | Combining equations (390,376) yields a new equation: % 24.61/6.35 | (391) e4 = e3 % 24.61/6.35 | % 24.61/6.35 | Simplifying 391 yields: % 24.61/6.35 | (392) e4 = e3 % 24.61/6.35 | % 24.61/6.35 | Equations (392) can reduce 184 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.35 | (890) ~ (all_0_56_56 = e3) % 24.61/6.35 | (891) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 24.61/6.35 | % 24.61/6.35 | Equations (390) can reduce 890 to: % 24.61/6.35 | (184) ~ (e4 = e3) % 24.61/6.35 | % 24.61/6.35 +-Applying beta-rule and splitting (915), into two cases. % 24.61/6.35 |-Branch one: % 24.61/6.35 | (419) all_0_53_53 = e3 % 24.61/6.35 | % 24.61/6.35 | Combining equations (419,272) yields a new equation: % 24.61/6.35 | (1084) e3 = e1 % 24.61/6.35 | % 24.61/6.35 | Simplifying 1084 yields: % 24.61/6.35 | (420) e3 = e1 % 24.61/6.35 | % 24.61/6.35 | Equations (420) can reduce 214 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.35 | (422) ~ (all_0_53_53 = e3) % 24.61/6.35 | (376) all_0_56_56 = e3 % 24.61/6.35 | % 24.61/6.35 | Combining equations (390,376) yields a new equation: % 24.61/6.35 | (391) e4 = e3 % 24.61/6.35 | % 24.61/6.35 | Simplifying 391 yields: % 24.61/6.35 | (392) e4 = e3 % 24.61/6.35 | % 24.61/6.35 | Equations (392) can reduce 184 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.35 | (394) ~ (all_0_56_56 = e4) % 24.61/6.35 | (395) all_0_57_57 = e4 | all_0_58_58 = e4 | all_0_60_60 = e4 % 24.61/6.35 | % 24.61/6.35 +-Applying beta-rule and splitting (615), into two cases. % 24.61/6.35 |-Branch one: % 24.61/6.35 | (506) all_0_49_49 = e4 % 24.61/6.35 | % 24.61/6.35 | Combining equations (637,506) yields a new equation: % 24.61/6.35 | (481) e4 = e0 % 24.61/6.35 | % 24.61/6.35 | Equations (481) can reduce 47 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.35 | (497) ~ (all_0_49_49 = e4) % 24.61/6.35 | (390) all_0_56_56 = e4 % 24.61/6.35 | % 24.61/6.35 | Equations (390) can reduce 394 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.35 | (596) ~ (all_0_50_50 = e4) % 24.61/6.35 | (838) all_0_50_50 = e2 % 24.61/6.35 | % 24.61/6.35 | Equations (838) can reduce 398 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.35 | (652) ~ (all_0_49_49 = e0) % 24.61/6.35 | (653) all_0_56_56 = e0 % 24.61/6.35 | % 24.61/6.35 | Equations (653) can reduce 306 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.35 | (847) ~ (all_0_42_42 = e3) % 24.61/6.35 | (1512) all_0_47_47 = e3 | all_0_59_59 = e3 % 24.61/6.35 | % 24.61/6.35 +-Applying beta-rule and splitting (1512), into two cases. % 24.61/6.35 |-Branch one: % 24.61/6.35 | (591) all_0_47_47 = e3 % 24.61/6.35 | % 24.61/6.35 | Combining equations (591,525) yields a new equation: % 24.61/6.35 | (654) e3 = e0 % 24.61/6.35 | % 24.61/6.35 | Simplifying 654 yields: % 24.61/6.35 | (534) e3 = e0 % 24.61/6.35 | % 24.61/6.35 | Equations (534) can reduce 84 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.35 | (493) ~ (all_0_47_47 = e3) % 24.61/6.35 | (907) all_0_59_59 = e3 % 24.61/6.35 | % 24.61/6.35 | Combining equations (907,886) yields a new equation: % 24.61/6.35 | (877) e3 = e2 % 24.61/6.35 | % 24.61/6.35 | Simplifying 877 yields: % 24.61/6.35 | (567) e3 = e2 % 24.61/6.35 | % 24.61/6.35 | Equations (567) can reduce 213 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.35 | (745) ~ (all_0_40_40 = e0) % 24.61/6.35 | (746) all_0_42_42 = e0 | all_0_43_43 = e0 % 24.61/6.35 | % 24.61/6.35 +-Applying beta-rule and splitting (251), into two cases. % 24.61/6.35 |-Branch one: % 24.61/6.35 | (469) all_0_42_42 = e3 % 24.61/6.35 | % 24.61/6.35 | Equations (469) can reduce 247 to: % 24.61/6.35 | (472) ~ (e4 = e3) % 24.61/6.35 | % 24.61/6.35 | Simplifying 472 yields: % 24.61/6.35 | (184) ~ (e4 = e3) % 24.61/6.35 | % 24.61/6.35 | Equations (469) can reduce 256 to: % 24.61/6.35 | (214) ~ (e3 = e1) % 24.61/6.35 | % 24.61/6.35 +-Applying beta-rule and splitting (104), into two cases. % 24.61/6.35 |-Branch one: % 24.61/6.35 | (461) all_0_40_40 = e0 % 24.61/6.35 | % 24.61/6.35 | Equations (461) can reduce 745 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.35 | (745) ~ (all_0_40_40 = e0) % 24.61/6.35 | (1129) all_0_45_45 = e0 | all_0_50_50 = e0 | all_0_57_57 = e0 % 24.61/6.35 | % 24.61/6.35 +-Applying beta-rule and splitting (1129), into two cases. % 24.61/6.35 |-Branch one: % 24.61/6.35 | (295) all_0_45_45 = e0 % 24.61/6.35 | % 24.61/6.35 | Combining equations (295,284) yields a new equation: % 24.61/6.35 | (297) e1 = e0 % 24.61/6.35 | % 24.61/6.35 | Equations (297) can reduce 231 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.35 | (299) ~ (all_0_45_45 = e0) % 24.61/6.35 | (1135) all_0_50_50 = e0 | all_0_57_57 = e0 % 24.61/6.35 | % 24.61/6.35 | Equations (284) can reduce 299 to: % 24.61/6.35 | (231) ~ (e1 = e0) % 24.61/6.35 | % 24.61/6.35 +-Applying beta-rule and splitting (163), into two cases. % 24.61/6.35 |-Branch one: % 24.61/6.35 | (892) all_0_44_44 = e3 % 24.61/6.35 | % 24.61/6.35 | Equations (892) can reduce 503 to: % 24.61/6.35 | (84) ~ (e3 = e0) % 24.61/6.35 | % 24.61/6.35 +-Applying beta-rule and splitting (746), into two cases. % 24.61/6.35 |-Branch one: % 24.61/6.35 | (466) all_0_42_42 = e0 % 24.61/6.35 | % 24.61/6.35 | Combining equations (466,469) yields a new equation: % 24.61/6.35 | (534) e3 = e0 % 24.61/6.35 | % 24.61/6.35 | Equations (534) can reduce 84 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.35 | (463) ~ (all_0_42_42 = e0) % 24.61/6.35 | (1253) all_0_43_43 = e0 % 24.61/6.35 | % 24.61/6.35 | Combining equations (1253,310) yields a new equation: % 24.61/6.35 | (297) e1 = e0 % 24.61/6.35 | % 24.61/6.35 | Equations (297) can reduce 231 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.35 | (914) ~ (all_0_44_44 = e3) % 24.61/6.35 | (1082) all_0_45_45 = e3 | all_0_47_47 = e3 | all_0_48_48 = e3 % 24.61/6.35 | % 24.61/6.35 +-Applying beta-rule and splitting (140), into two cases. % 24.61/6.35 |-Branch one: % 24.61/6.35 | (892) all_0_44_44 = e3 % 24.61/6.35 | % 24.61/6.35 | Equations (892) can reduce 914 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.35 | (914) ~ (all_0_44_44 = e3) % 24.61/6.35 | (915) all_0_53_53 = e3 | all_0_56_56 = e3 % 24.61/6.35 | % 24.61/6.35 +-Applying beta-rule and splitting (1082), into two cases. % 24.61/6.35 |-Branch one: % 24.61/6.35 | (1083) all_0_45_45 = e3 % 24.61/6.35 | % 24.61/6.35 | Combining equations (1083,284) yields a new equation: % 24.61/6.35 | (1084) e3 = e1 % 24.61/6.35 | % 24.61/6.35 | Simplifying 1084 yields: % 24.61/6.35 | (420) e3 = e1 % 24.61/6.35 | % 24.61/6.35 | Equations (420) can reduce 214 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.35 | (1087) ~ (all_0_45_45 = e3) % 24.61/6.35 | (1088) all_0_47_47 = e3 | all_0_48_48 = e3 % 24.61/6.35 | % 24.61/6.35 | Equations (284) can reduce 1087 to: % 24.61/6.35 | (333) ~ (e3 = e1) % 24.61/6.35 | % 24.61/6.35 | Simplifying 333 yields: % 24.61/6.35 | (214) ~ (e3 = e1) % 24.61/6.35 | % 24.61/6.35 +-Applying beta-rule and splitting (915), into two cases. % 24.61/6.35 |-Branch one: % 24.61/6.35 | (419) all_0_53_53 = e3 % 24.61/6.35 | % 24.61/6.35 | Combining equations (272,419) yields a new equation: % 24.61/6.35 | (420) e3 = e1 % 24.61/6.35 | % 24.61/6.35 | Equations (420) can reduce 214 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.35 | (422) ~ (all_0_53_53 = e3) % 24.61/6.35 | (376) all_0_56_56 = e3 % 24.61/6.35 | % 24.61/6.35 | Equations (376) can reduce 306 to: % 24.61/6.35 | (84) ~ (e3 = e0) % 24.61/6.35 | % 24.61/6.35 +-Applying beta-rule and splitting (1088), into two cases. % 24.61/6.35 |-Branch one: % 24.61/6.35 | (591) all_0_47_47 = e3 % 24.61/6.35 | % 24.61/6.35 | Combining equations (591,525) yields a new equation: % 24.61/6.35 | (654) e3 = e0 % 24.61/6.35 | % 24.61/6.35 | Simplifying 654 yields: % 24.61/6.35 | (534) e3 = e0 % 24.61/6.35 | % 24.61/6.35 | Equations (534) can reduce 84 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.35 | (493) ~ (all_0_47_47 = e3) % 24.61/6.35 | (491) all_0_48_48 = e3 % 24.61/6.35 | % 24.61/6.35 | Combining equations (491,687) yields a new equation: % 24.61/6.35 | (392) e4 = e3 % 24.61/6.35 | % 24.61/6.35 | Equations (392) can reduce 184 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.35 | (847) ~ (all_0_42_42 = e3) % 24.61/6.35 | (1512) all_0_47_47 = e3 | all_0_59_59 = e3 % 24.61/6.35 | % 24.61/6.35 +-Applying beta-rule and splitting (1512), into two cases. % 24.61/6.35 |-Branch one: % 24.61/6.35 | (591) all_0_47_47 = e3 % 24.61/6.35 | % 24.61/6.35 | Combining equations (591,525) yields a new equation: % 24.61/6.35 | (654) e3 = e0 % 24.61/6.35 | % 24.61/6.35 | Simplifying 654 yields: % 24.61/6.35 | (534) e3 = e0 % 24.61/6.35 | % 24.61/6.35 | Equations (534) can reduce 84 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.35 | (493) ~ (all_0_47_47 = e3) % 24.61/6.35 | (907) all_0_59_59 = e3 % 24.61/6.35 | % 24.61/6.35 | Combining equations (907,886) yields a new equation: % 24.61/6.35 | (877) e3 = e2 % 24.61/6.35 | % 24.61/6.35 | Simplifying 877 yields: % 24.61/6.35 | (567) e3 = e2 % 24.61/6.35 | % 24.61/6.35 | Equations (567) can reduce 213 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.35 | (589) ~ (all_0_47_47 = e0) % 24.61/6.35 | (717) all_0_48_48 = e0 % 24.61/6.35 | % 24.61/6.35 | Combining equations (687,717) yields a new equation: % 24.61/6.35 | (480) e4 = e0 % 24.61/6.35 | % 24.61/6.35 | Simplifying 480 yields: % 24.61/6.35 | (481) e4 = e0 % 24.61/6.35 | % 24.61/6.35 | Equations (481) can reduce 47 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.35 | (690) ~ (all_0_48_48 = e4) % 24.61/6.35 | (691) all_0_52_52 = e4 | all_0_60_60 = e4 % 24.61/6.35 | % 24.61/6.35 +-Applying beta-rule and splitting (691), into two cases. % 24.61/6.35 |-Branch one: % 24.61/6.35 | (597) all_0_52_52 = e4 % 24.61/6.35 | % 24.61/6.35 | Combining equations (938,597) yields a new equation: % 24.61/6.35 | (409) e4 = e2 % 24.61/6.35 | % 24.61/6.35 | Equations (409) can reduce 46 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.35 | (695) ~ (all_0_52_52 = e4) % 24.61/6.35 | (696) all_0_60_60 = e4 % 24.61/6.35 | % 24.61/6.35 | Combining equations (300,696) yields a new equation: % 24.61/6.35 | (481) e4 = e0 % 24.61/6.35 | % 24.61/6.35 | Equations (481) can reduce 47 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.35 | (344) ~ (all_0_51_51 = e1) % 24.61/6.35 | (341) all_0_59_59 = e1 % 24.61/6.35 | % 24.61/6.35 | Combining equations (886,341) yields a new equation: % 24.61/6.35 | (887) e2 = e1 % 24.61/6.35 | % 24.61/6.35 | Simplifying 887 yields: % 24.61/6.35 | (544) e2 = e1 % 24.61/6.35 | % 24.61/6.35 | Equations (544) can reduce 134 to: % 24.61/6.35 | (298) $false % 24.61/6.35 | % 24.61/6.35 |-The branch is then unsatisfiable % 24.61/6.35 |-Branch two: % 24.61/6.36 | (941) ~ (all_0_52_52 = e2) % 24.61/6.36 | (942) all_0_55_55 = e2 | all_0_60_60 = e2 % 24.61/6.36 | % 24.61/6.36 +-Applying beta-rule and splitting (942), into two cases. % 24.61/6.36 |-Branch one: % 24.61/6.36 | (385) all_0_55_55 = e2 % 24.61/6.36 | % 24.61/6.36 | Combining equations (385,876) yields a new equation: % 24.61/6.36 | (567) e3 = e2 % 24.61/6.36 | % 24.61/6.36 | Equations (567) can reduce 213 to: % 24.61/6.36 | (298) $false % 24.61/6.36 | % 24.61/6.36 |-The branch is then unsatisfiable % 24.61/6.36 |-Branch two: % 24.61/6.36 | (968) ~ (all_0_55_55 = e2) % 24.61/6.36 | (964) all_0_60_60 = e2 % 24.61/6.36 | % 24.61/6.36 | Combining equations (964,300) yields a new equation: % 24.61/6.36 | (568) e2 = e0 % 24.61/6.36 | % 24.61/6.36 | Simplifying 568 yields: % 24.61/6.36 | (569) e2 = e0 % 24.61/6.36 | % 24.61/6.36 | Equations (569) can reduce 139 to: % 24.61/6.36 | (298) $false % 24.61/6.36 | % 24.61/6.36 |-The branch is then unsatisfiable % 24.61/6.36 |-Branch two: % 24.61/6.36 | (258) ~ (all_0_43_43 = e1) % 24.61/6.36 | (519) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e0 % 24.61/6.36 | % 24.61/6.36 +-Applying beta-rule and splitting (519), into two cases. % 24.61/6.36 |-Branch one: % 24.61/6.36 | (1253) all_0_43_43 = e0 % 24.61/6.36 | % 24.61/6.36 | Equations (1253) can reduce 301 to: % 24.61/6.36 | (298) $false % 24.61/6.36 | % 24.61/6.36 |-The branch is then unsatisfiable % 24.61/6.36 |-Branch two: % 24.61/6.36 | (301) ~ (all_0_43_43 = e0) % 24.61/6.36 | (1972) all_0_43_43 = e4 | all_0_43_43 = e3 % 24.61/6.36 | % 24.61/6.36 +-Applying beta-rule and splitting (45), into two cases. % 24.61/6.36 |-Branch one: % 24.61/6.36 | (520) all_0_43_43 = e4 % 24.61/6.36 | % 24.61/6.36 | Equations (520) can reduce 601 to: % 24.61/6.36 | (298) $false % 24.61/6.36 | % 24.61/6.36 |-The branch is then unsatisfiable % 24.61/6.36 |-Branch two: % 24.61/6.36 | (601) ~ (all_0_43_43 = e4) % 24.61/6.36 | (602) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_60_60 = e4 % 24.61/6.36 | % 24.61/6.36 +-Applying beta-rule and splitting (1972), into two cases. % 24.61/6.36 |-Branch one: % 24.61/6.36 | (475) all_0_43_43 = e3 % 24.61/6.36 | % 24.61/6.36 | Equations (475) can reduce 471 to: % 24.61/6.36 | (298) $false % 24.61/6.36 | % 24.61/6.36 |-The branch is then unsatisfiable % 24.61/6.36 |-Branch two: % 24.61/6.36 | (471) ~ (all_0_43_43 = e3) % 24.61/6.36 | (520) all_0_43_43 = e4 % 24.61/6.36 | % 24.61/6.36 | Equations (520) can reduce 601 to: % 24.61/6.36 | (298) $false % 24.61/6.36 | % 24.61/6.36 |-The branch is then unsatisfiable % 24.61/6.36 |-Branch two: % 24.61/6.36 | (373) ~ (all_0_54_54 = e2) % 24.61/6.36 | (385) all_0_55_55 = e2 % 24.61/6.36 | % 24.61/6.36 | Equations (385) can reduce 42 to: % 24.61/6.36 | (941) ~ (all_0_52_52 = e2) % 24.61/6.36 | % 24.61/6.36 | Equations (385) can reduce 228 to: % 24.61/6.36 | (399) ~ (e4 = e2) % 24.61/6.36 | % 24.61/6.36 | Simplifying 399 yields: % 24.61/6.36 | (46) ~ (e4 = e2) % 24.61/6.36 | % 24.61/6.36 | From (385) and (222) follows: % 24.61/6.36 | (388) op(e2, e1) = all_0_29_29 % 24.61/6.36 | % 24.61/6.36 | From (385) and (146) follows: % 24.61/6.36 | (5411) op(e2, e0) = all_0_30_30 % 24.61/6.36 | % 24.61/6.36 | From (385) and (218) follows: % 24.61/6.36 | (389) op(e1, e0) = e2 % 24.61/6.36 | % 24.61/6.36 +-Applying beta-rule and splitting (128), into two cases. % 24.61/6.36 |-Branch one: % 24.61/6.36 | (419) all_0_53_53 = e3 % 24.61/6.36 | % 24.61/6.36 | Combining equations (272,419) yields a new equation: % 24.61/6.36 | (420) e3 = e1 % 24.61/6.36 | % 24.61/6.36 | Equations (420) can reduce 214 to: % 24.61/6.36 | (298) $false % 24.61/6.36 | % 24.61/6.36 |-The branch is then unsatisfiable % 24.61/6.36 |-Branch two: % 24.61/6.36 | (422) ~ (all_0_53_53 = e3) % 24.61/6.36 | (423) all_0_54_54 = e3 | all_0_55_55 = e3 % 24.61/6.36 | % 24.61/6.36 +-Applying beta-rule and splitting (423), into two cases. % 24.61/6.36 |-Branch one: % 24.61/6.36 | (424) all_0_54_54 = e3 % 24.61/6.36 | % 24.61/6.36 | Equations (424) can reduce 35 to: % 24.61/6.36 | (425) ~ (all_0_40_40 = e3) % 24.61/6.36 | % 24.61/6.36 | Equations (424) can reduce 196 to: % 24.61/6.36 | (252) ~ (all_0_50_50 = e3) % 24.61/6.36 | % 24.61/6.36 | Equations (424) can reduce 81 to: % 24.61/6.36 | (2823) ~ (all_0_57_57 = e3) % 24.61/6.36 | % 24.61/6.36 | Simplifying 2823 yields: % 24.61/6.36 | (905) ~ (all_0_57_57 = e3) % 24.61/6.36 | % 24.61/6.36 | From (424) and (154) follows: % 24.61/6.36 | (429) op(e1, e3) = e3 % 24.61/6.36 | % 24.61/6.36 +-Applying beta-rule and splitting (109), into two cases. % 24.61/6.36 |-Branch one: % 24.61/6.36 | (747) all_0_40_40 = e1 % 24.61/6.36 | % 24.61/6.36 | Equations (747) can reduce 254 to: % 24.61/6.36 | (298) $false % 24.61/6.36 | % 24.61/6.36 |-The branch is then unsatisfiable % 24.61/6.36 |-Branch two: % 24.61/6.36 | (254) ~ (all_0_40_40 = e1) % 24.61/6.36 | (750) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e0 % 24.61/6.36 | % 24.61/6.36 +-Applying beta-rule and splitting (750), into two cases. % 24.61/6.36 |-Branch one: % 24.61/6.36 | (461) all_0_40_40 = e0 % 24.61/6.36 | % 24.61/6.36 | Equations (461) can reduce 204 to: % 24.61/6.36 | (462) ~ (all_0_42_42 = e0) % 24.61/6.36 | % 24.61/6.36 | Simplifying 462 yields: % 24.61/6.36 | (463) ~ (all_0_42_42 = e0) % 24.61/6.36 | % 24.61/6.36 | Equations (461) can reduce 238 to: % 24.61/6.36 | (464) ~ (all_0_43_43 = e0) % 24.61/6.36 | % 24.61/6.36 | Simplifying 464 yields: % 24.61/6.36 | (301) ~ (all_0_43_43 = e0) % 24.61/6.36 | % 24.61/6.36 | Equations (461) can reduce 75 to: % 24.61/6.36 | (660) ~ (all_0_50_50 = e0) % 24.61/6.36 | % 24.61/6.36 | Simplifying 660 yields: % 24.61/6.36 | (661) ~ (all_0_50_50 = e0) % 24.61/6.36 | % 24.61/6.36 | Equations (461) can reduce 64 to: % 24.61/6.36 | (2185) ~ (all_0_57_57 = e0) % 24.61/6.36 | % 24.61/6.36 | Simplifying 2185 yields: % 24.61/6.36 | (307) ~ (all_0_57_57 = e0) % 24.61/6.36 | % 24.61/6.36 | Equations (461) can reduce 483 to: % 24.61/6.36 | (485) ~ (e4 = e0) % 24.61/6.36 | % 24.61/6.36 | Simplifying 485 yields: % 24.61/6.36 | (47) ~ (e4 = e0) % 24.61/6.36 | % 24.61/6.36 | Equations (461) can reduce 425 to: % 24.61/6.36 | (620) ~ (e3 = e0) % 24.61/6.36 | % 24.61/6.36 | Simplifying 620 yields: % 24.61/6.36 | (84) ~ (e3 = e0) % 24.61/6.36 | % 24.61/6.36 | Equations (461) can reduce 254 to: % 24.61/6.36 | (526) ~ (e1 = e0) % 24.61/6.36 | % 24.61/6.36 | Simplifying 526 yields: % 24.61/6.36 | (231) ~ (e1 = e0) % 24.61/6.36 | % 24.61/6.36 | From (461) and (127) follows: % 24.61/6.36 | (7848) op(e0, e4) = all_0_0_0 % 24.61/6.36 | % 24.61/6.36 | From (461) and (43) follows: % 24.61/6.36 | (1742) op(e0, e3) = all_0_1_1 % 24.61/6.36 | % 24.61/6.36 | Instantiating formula (206) with e2, e1, all_0_29_29, all_0_51_51 and discharging atoms op(e2, e1) = all_0_29_29, op(e2, e1) = all_0_51_51, yields: % 24.61/6.36 | (5413) all_0_29_29 = all_0_51_51 % 24.61/6.36 | % 24.61/6.36 | Instantiating formula (206) with e2, e0, all_0_30_30, all_0_52_52 and discharging atoms op(e2, e0) = all_0_30_30, op(e2, e0) = all_0_52_52, yields: % 24.61/6.36 | (5414) all_0_30_30 = all_0_52_52 % 24.61/6.36 | % 24.61/6.36 | Instantiating formula (206) with e0, e4, all_0_0_0, all_0_56_56 and discharging atoms op(e0, e4) = all_0_0_0, op(e0, e4) = all_0_56_56, yields: % 24.61/6.36 | (7852) all_0_0_0 = all_0_56_56 % 24.61/6.36 | % 24.61/6.36 | Instantiating formula (206) with e0, e3, all_0_1_1, all_0_57_57 and discharging atoms op(e0, e3) = all_0_1_1, op(e0, e3) = all_0_57_57, yields: % 24.61/6.36 | (7853) all_0_1_1 = all_0_57_57 % 24.61/6.36 | % 24.61/6.36 | From (5413) and (388) follows: % 24.61/6.36 | (149) op(e2, e1) = all_0_51_51 % 24.61/6.36 | % 24.61/6.36 | From (5414) and (5411) follows: % 24.61/6.36 | (217) op(e2, e0) = all_0_52_52 % 24.61/6.36 | % 24.61/6.36 | From (7852) and (7848) follows: % 24.61/6.36 | (48) op(e0, e4) = all_0_56_56 % 24.61/6.36 | % 24.61/6.36 | From (7853) and (1742) follows: % 24.61/6.36 | (150) op(e0, e3) = all_0_57_57 % 24.61/6.36 | % 24.61/6.36 +-Applying beta-rule and splitting (105), into two cases. % 24.61/6.36 |-Branch one: % 24.61/6.36 | (457) all_0_49_49 = e1 % 24.61/6.36 | % 24.61/6.36 | Equations (457) can reduce 329 to: % 24.61/6.36 | (298) $false % 24.61/6.36 | % 24.61/6.36 |-The branch is then unsatisfiable % 24.61/6.36 |-Branch two: % 24.61/6.36 | (329) ~ (all_0_49_49 = e1) % 24.61/6.36 | (460) all_0_49_49 = e4 | all_0_49_49 = e0 % 24.61/6.36 | % 24.61/6.36 +-Applying beta-rule and splitting (92), into two cases. % 24.61/6.36 |-Branch one: % 24.61/6.36 | (453) all_0_42_42 = e1 % 24.61/6.36 | % 24.61/6.36 | Equations (453) can reduce 20 to: % 24.61/6.36 | (257) ~ (all_0_43_43 = e1) % 24.61/6.36 | % 24.61/6.36 | Simplifying 257 yields: % 24.61/6.36 | (258) ~ (all_0_43_43 = e1) % 24.61/6.36 | % 24.61/6.36 | Equations (453) can reduce 242 to: % 24.61/6.36 | (6113) ~ (all_0_47_47 = e1) % 24.61/6.36 | % 24.61/6.36 | Simplifying 6113 yields: % 24.61/6.36 | (343) ~ (all_0_47_47 = e1) % 24.61/6.36 | % 24.61/6.36 | Equations (453) can reduce 247 to: % 24.61/6.36 | (347) ~ (e4 = e1) % 24.61/6.36 | % 24.61/6.36 | Simplifying 347 yields: % 24.61/6.36 | (115) ~ (e4 = e1) % 24.61/6.36 | % 24.61/6.36 | Equations (453) can reduce 131 to: % 24.61/6.36 | (263) ~ (e2 = e1) % 24.61/6.36 | % 24.61/6.36 | Simplifying 263 yields: % 24.61/6.36 | (134) ~ (e2 = e1) % 24.61/6.36 | % 24.61/6.36 | Equations (453) can reduce 463 to: % 24.61/6.36 | (231) ~ (e1 = e0) % 24.61/6.36 | % 24.61/6.36 +-Applying beta-rule and splitting (83), into two cases. % 24.61/6.36 |-Branch one: % 24.61/6.36 | (310) all_0_43_43 = e1 % 24.61/6.36 | % 24.61/6.36 | Equations (310) can reduce 258 to: % 24.61/6.36 | (298) $false % 24.61/6.36 | % 24.61/6.36 |-The branch is then unsatisfiable % 24.61/6.36 |-Branch two: % 24.61/6.36 | (258) ~ (all_0_43_43 = e1) % 24.61/6.36 | (313) all_0_48_48 = e1 | all_0_52_52 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1 % 24.61/6.36 | % 24.61/6.36 +-Applying beta-rule and splitting (313), into two cases. % 24.61/6.36 |-Branch one: % 24.61/6.36 | (318) all_0_48_48 = e1 % 24.61/6.36 | % 24.61/6.36 | Equations (318) can reduce 290 to: % 24.61/6.36 | (298) $false % 24.61/6.36 | % 24.61/6.36 |-The branch is then unsatisfiable % 24.61/6.36 |-Branch two: % 24.61/6.36 | (290) ~ (all_0_48_48 = e1) % 24.61/6.36 | (321) all_0_52_52 = e1 | all_0_55_55 = e1 | all_0_60_60 = e1 % 24.61/6.36 | % 24.61/6.36 +-Applying beta-rule and splitting (321), into two cases. % 24.61/6.36 |-Branch one: % 24.61/6.36 | (326) all_0_52_52 = e1 % 24.61/6.36 | % 24.61/6.36 | Equations (326) can reduce 194 to: % 24.61/6.36 | (258) ~ (all_0_43_43 = e1) % 24.61/6.36 | % 24.61/6.36 | Equations (326) can reduce 44 to: % 24.61/6.36 | (329) ~ (all_0_49_49 = e1) % 24.61/6.36 | % 24.61/6.36 | Equations (326) can reduce 22 to: % 24.61/6.36 | (344) ~ (all_0_51_51 = e1) % 24.61/6.36 | % 24.61/6.36 | Equations (326) can reduce 95 to: % 24.61/6.36 | (333) ~ (e3 = e1) % 24.61/6.36 | % 24.61/6.36 | Simplifying 333 yields: % 24.61/6.36 | (214) ~ (e3 = e1) % 24.61/6.36 | % 24.61/6.36 | Equations (326) can reduce 941 to: % 24.61/6.36 | (263) ~ (e2 = e1) % 24.61/6.36 | % 24.61/6.36 | Simplifying 263 yields: % 24.61/6.36 | (134) ~ (e2 = e1) % 24.61/6.36 | % 24.61/6.36 | Equations (326) can reduce 304 to: % 24.61/6.36 | (231) ~ (e1 = e0) % 24.61/6.36 | % 24.61/6.36 | From (326) and (71) follows: % 24.61/6.36 | (336) op(e1, e0) = all_0_24_24 % 24.61/6.36 | % 24.61/6.36 +-Applying beta-rule and splitting (167), into two cases. % 24.61/6.36 |-Branch one: % 24.61/6.36 | (310) all_0_43_43 = e1 % 24.61/6.36 | % 24.61/6.36 | Equations (310) can reduce 258 to: % 24.61/6.36 | (298) $false % 24.61/6.36 | % 24.61/6.36 |-The branch is then unsatisfiable % 24.61/6.36 |-Branch two: % 24.61/6.36 | (258) ~ (all_0_43_43 = e1) % 24.61/6.36 | (519) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e0 % 24.61/6.36 | % 24.61/6.36 +-Applying beta-rule and splitting (45), into two cases. % 24.61/6.36 |-Branch one: % 24.61/6.36 | (520) all_0_43_43 = e4 % 24.61/6.36 | % 24.61/6.36 | Equations (520) can reduce 601 to: % 24.61/6.36 | (298) $false % 24.61/6.36 | % 24.61/6.36 |-The branch is then unsatisfiable % 24.61/6.36 |-Branch two: % 24.61/6.36 | (601) ~ (all_0_43_43 = e4) % 24.61/6.36 | (602) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_60_60 = e4 % 24.61/6.36 | % 24.61/6.36 +-Applying beta-rule and splitting (602), into two cases. % 24.61/6.36 |-Branch one: % 24.61/6.36 | (687) all_0_48_48 = e4 % 24.61/6.36 | % 24.61/6.36 | Equations (687) can reduce 6 to: % 24.61/6.36 | (610) ~ (all_0_44_44 = e4) % 24.61/6.36 | % 24.61/6.36 | Equations (687) can reduce 224 to: % 24.61/6.36 | (76) ~ (all_0_47_47 = e4) % 24.61/6.36 | % 24.61/6.36 | Equations (687) can reduce 303 to: % 24.61/6.36 | (47) ~ (e4 = e0) % 24.61/6.36 | % 24.61/6.36 +-Applying beta-rule and splitting (23), into two cases. % 24.61/6.36 |-Branch one: % 24.61/6.36 | (755) all_0_40_40 = e3 % 24.61/6.36 | % 24.61/6.36 | Combining equations (461,755) yields a new equation: % 24.61/6.36 | (534) e3 = e0 % 24.61/6.36 | % 24.61/6.36 | Equations (534) can reduce 84 to: % 24.61/6.36 | (298) $false % 24.61/6.36 | % 24.61/6.36 |-The branch is then unsatisfiable % 24.61/6.36 |-Branch two: % 24.61/6.36 | (425) ~ (all_0_40_40 = e3) % 24.61/6.36 | (1257) all_0_42_42 = e3 | all_0_43_43 = e3 % 24.61/6.36 | % 24.61/6.37 +-Applying beta-rule and splitting (1257), into two cases. % 24.61/6.37 |-Branch one: % 24.61/6.37 | (469) all_0_42_42 = e3 % 24.61/6.37 | % 24.61/6.37 | Combining equations (453,469) yields a new equation: % 24.61/6.37 | (420) e3 = e1 % 24.61/6.37 | % 24.61/6.37 | Equations (420) can reduce 214 to: % 24.61/6.37 | (298) $false % 24.61/6.37 | % 24.61/6.37 |-The branch is then unsatisfiable % 24.61/6.37 |-Branch two: % 24.61/6.37 | (847) ~ (all_0_42_42 = e3) % 24.61/6.37 | (475) all_0_43_43 = e3 % 24.61/6.37 | % 24.61/6.37 | Equations (475) can reduce 258 to: % 24.61/6.37 | (214) ~ (e3 = e1) % 24.61/6.37 | % 24.61/6.37 | Equations (475) can reduce 301 to: % 24.61/6.37 | (84) ~ (e3 = e0) % 24.61/6.37 | % 24.61/6.37 | From (475) and (181) follows: % 24.61/6.37 | (4830) op(e3, e4) = all_0_6_6 % 24.61/6.37 | % 24.61/6.37 | Instantiating formula (206) with e3, e4, all_0_6_6, all_0_44_44 and discharging atoms op(e3, e4) = all_0_6_6, op(e3, e4) = all_0_44_44, yields: % 24.61/6.37 | (7915) all_0_6_6 = all_0_44_44 % 24.61/6.37 | % 24.61/6.37 | Instantiating formula (206) with e1, e0, all_0_24_24, e2 and discharging atoms op(e1, e0) = all_0_24_24, op(e1, e0) = e2, yields: % 24.61/6.37 | (4690) all_0_24_24 = e2 % 24.61/6.37 | % 24.61/6.37 | From (7915) and (4830) follows: % 24.61/6.37 | (124) op(e3, e4) = all_0_44_44 % 24.61/6.37 | % 24.61/6.37 | From (4690) and (336) follows: % 24.61/6.37 | (389) op(e1, e0) = e2 % 24.61/6.37 | % 24.61/6.37 +-Applying beta-rule and splitting (201), into two cases. % 24.61/6.37 |-Branch one: % 24.61/6.37 | (1704) all_0_51_51 = e1 % 24.61/6.37 | % 24.61/6.37 | Equations (1704) can reduce 344 to: % 24.61/6.37 | (298) $false % 24.61/6.37 | % 24.61/6.37 |-The branch is then unsatisfiable % 24.61/6.37 |-Branch two: % 24.61/6.37 | (344) ~ (all_0_51_51 = e1) % 24.61/6.37 | (1707) all_0_51_51 = e2 | all_0_51_51 = e0 % 24.61/6.37 | % 24.61/6.37 +-Applying beta-rule and splitting (54), into two cases. % 24.61/6.37 |-Branch one: % 24.61/6.37 | (500) all_0_44_44 = e0 % 24.61/6.37 | % 24.61/6.37 | Equations (500) can reduce 98 to: % 24.61/6.37 | (769) ~ (all_0_47_47 = e0) % 24.61/6.37 | % 24.61/6.37 | Simplifying 769 yields: % 24.61/6.37 | (589) ~ (all_0_47_47 = e0) % 24.61/6.37 | % 24.61/6.37 | Equations (500) can reduce 205 to: % 24.61/6.37 | (1996) ~ (all_0_49_49 = e0) % 24.61/6.37 | % 24.61/6.37 | Simplifying 1996 yields: % 24.61/6.37 | (652) ~ (all_0_49_49 = e0) % 24.61/6.37 | % 24.61/6.37 | Equations (500) can reduce 107 to: % 24.61/6.37 | (782) ~ (e2 = e0) % 24.61/6.37 | % 24.61/6.37 | Simplifying 782 yields: % 24.61/6.37 | (139) ~ (e2 = e0) % 24.61/6.37 | % 24.61/6.37 | Equations (500) can reduce 273 to: % 24.61/6.37 | (526) ~ (e1 = e0) % 24.61/6.37 | % 24.61/6.37 | Simplifying 526 yields: % 24.61/6.37 | (231) ~ (e1 = e0) % 24.61/6.37 | % 24.61/6.37 +-Applying beta-rule and splitting (140), into two cases. % 24.61/6.37 |-Branch one: % 24.61/6.37 | (892) all_0_44_44 = e3 % 24.61/6.37 | % 24.61/6.37 | Combining equations (500,892) yields a new equation: % 24.61/6.37 | (534) e3 = e0 % 24.61/6.37 | % 24.61/6.37 | Equations (534) can reduce 84 to: % 24.61/6.37 | (298) $false % 24.61/6.37 | % 24.61/6.37 |-The branch is then unsatisfiable % 24.61/6.37 |-Branch two: % 24.61/6.37 | (914) ~ (all_0_44_44 = e3) % 24.61/6.37 | (915) all_0_53_53 = e3 | all_0_56_56 = e3 % 24.61/6.37 | % 24.61/6.37 +-Applying beta-rule and splitting (165), into two cases. % 24.61/6.37 |-Branch one: % 24.61/6.37 | (487) all_0_47_47 = e1 % 24.61/6.37 | % 24.61/6.37 | Equations (487) can reduce 343 to: % 24.61/6.37 | (298) $false % 24.61/6.37 | % 24.61/6.37 |-The branch is then unsatisfiable % 24.61/6.37 |-Branch two: % 24.61/6.37 | (343) ~ (all_0_47_47 = e1) % 24.61/6.37 | (490) all_0_47_47 = e3 | all_0_47_47 = e2 | all_0_47_47 = e0 % 24.61/6.37 | % 24.61/6.37 +-Applying beta-rule and splitting (915), into two cases. % 24.61/6.37 |-Branch one: % 24.61/6.37 | (419) all_0_53_53 = e3 % 24.61/6.37 | % 24.61/6.37 | Combining equations (272,419) yields a new equation: % 24.61/6.37 | (420) e3 = e1 % 24.61/6.37 | % 24.61/6.37 | Equations (420) can reduce 214 to: % 24.61/6.37 | (298) $false % 24.61/6.37 | % 24.61/6.37 |-The branch is then unsatisfiable % 24.61/6.37 |-Branch two: % 24.61/6.37 | (422) ~ (all_0_53_53 = e3) % 24.61/6.37 | (376) all_0_56_56 = e3 % 24.61/6.37 | % 24.61/6.37 | Equations (376) can reduce 99 to: % 24.61/6.37 | (2351) ~ (all_0_59_59 = e3) % 24.61/6.37 | % 24.61/6.37 | Simplifying 2351 yields: % 24.61/6.37 | (910) ~ (all_0_59_59 = e3) % 24.61/6.37 | % 24.61/6.37 | Equations (376) can reduce 279 to: % 24.61/6.37 | (214) ~ (e3 = e1) % 24.61/6.37 | % 24.61/6.37 +-Applying beta-rule and splitting (490), into two cases. % 24.61/6.37 |-Branch one: % 24.61/6.37 | (525) all_0_47_47 = e0 % 24.61/6.37 | % 24.61/6.37 | Equations (525) can reduce 589 to: % 24.61/6.37 | (298) $false % 24.61/6.37 | % 24.61/6.37 |-The branch is then unsatisfiable % 24.61/6.37 |-Branch two: % 24.61/6.37 | (589) ~ (all_0_47_47 = e0) % 24.61/6.37 | (590) all_0_47_47 = e3 | all_0_47_47 = e2 % 24.61/6.37 | % 24.61/6.37 +-Applying beta-rule and splitting (251), into two cases. % 24.61/6.37 |-Branch one: % 24.61/6.37 | (469) all_0_42_42 = e3 % 24.61/6.37 | % 24.61/6.37 | Combining equations (453,469) yields a new equation: % 24.61/6.37 | (420) e3 = e1 % 24.61/6.37 | % 24.61/6.37 | Equations (420) can reduce 214 to: % 24.61/6.37 | (298) $false % 24.61/6.37 | % 24.61/6.37 |-The branch is then unsatisfiable % 24.61/6.37 |-Branch two: % 24.61/6.37 | (847) ~ (all_0_42_42 = e3) % 24.61/6.37 | (1512) all_0_47_47 = e3 | all_0_59_59 = e3 % 24.61/6.37 | % 24.61/6.37 +-Applying beta-rule and splitting (129), into two cases. % 24.61/6.37 |-Branch one: % 24.61/6.37 | (637) all_0_49_49 = e0 % 24.61/6.37 | % 24.61/6.37 | Equations (637) can reduce 652 to: % 24.61/6.37 | (298) $false % 24.61/6.37 | % 24.61/6.37 |-The branch is then unsatisfiable % 24.61/6.37 |-Branch two: % 24.61/6.37 | (652) ~ (all_0_49_49 = e0) % 24.61/6.37 | (682) all_0_50_50 = e0 | all_0_51_51 = e0 | all_0_52_52 = e0 % 24.61/6.37 | % 24.61/6.37 +-Applying beta-rule and splitting (1512), into two cases. % 24.61/6.37 |-Branch one: % 24.61/6.37 | (591) all_0_47_47 = e3 % 24.61/6.37 | % 24.61/6.37 | Equations (591) can reduce 361 to: % 24.61/6.37 | (213) ~ (e3 = e2) % 24.61/6.37 | % 24.61/6.37 | Equations (591) can reduce 589 to: % 24.61/6.37 | (84) ~ (e3 = e0) % 24.61/6.37 | % 24.61/6.37 +-Applying beta-rule and splitting (101), into two cases. % 24.61/6.37 |-Branch one: % 24.61/6.37 | (466) all_0_42_42 = e0 % 24.61/6.37 | % 24.61/6.37 | Combining equations (453,466) yields a new equation: % 24.61/6.37 | (296) e1 = e0 % 24.61/6.37 | % 24.61/6.37 | Simplifying 296 yields: % 24.61/6.37 | (297) e1 = e0 % 24.61/6.37 | % 24.61/6.37 | Equations (297) can reduce 231 to: % 24.61/6.37 | (298) $false % 24.61/6.37 | % 24.61/6.37 |-The branch is then unsatisfiable % 24.61/6.37 |-Branch two: % 24.61/6.37 | (463) ~ (all_0_42_42 = e0) % 24.61/6.37 | (841) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_59_59 = e0 % 24.61/6.37 | % 24.61/6.37 +-Applying beta-rule and splitting (460), into two cases. % 24.61/6.37 |-Branch one: % 24.61/6.37 | (637) all_0_49_49 = e0 % 24.61/6.37 | % 24.61/6.37 | Equations (637) can reduce 652 to: % 24.61/6.37 | (298) $false % 24.61/6.37 | % 24.61/6.37 |-The branch is then unsatisfiable % 24.61/6.37 |-Branch two: % 24.61/6.37 | (652) ~ (all_0_49_49 = e0) % 24.61/6.37 | (506) all_0_49_49 = e4 % 24.61/6.37 | % 24.61/6.37 | Equations (506) can reduce 82 to: % 24.61/6.37 | (1721) ~ (all_0_51_51 = e4) % 24.61/6.37 | % 24.61/6.37 | Simplifying 1721 yields: % 24.61/6.37 | (37) ~ (all_0_51_51 = e4) % 24.61/6.37 | % 24.61/6.37 | Equations (506) can reduce 329 to: % 24.61/6.37 | (115) ~ (e4 = e1) % 24.61/6.37 | % 24.61/6.37 +-Applying beta-rule and splitting (841), into two cases. % 24.61/6.37 |-Branch one: % 24.61/6.37 | (525) all_0_47_47 = e0 % 24.61/6.37 | % 24.61/6.37 | Combining equations (591,525) yields a new equation: % 24.61/6.37 | (654) e3 = e0 % 24.61/6.37 | % 24.61/6.37 | Simplifying 654 yields: % 24.61/6.37 | (534) e3 = e0 % 24.61/6.37 | % 24.61/6.37 | Equations (534) can reduce 84 to: % 24.61/6.37 | (298) $false % 24.61/6.37 | % 24.61/6.37 |-The branch is then unsatisfiable % 24.61/6.37 |-Branch two: % 24.61/6.37 | (589) ~ (all_0_47_47 = e0) % 24.61/6.37 | (2624) all_0_51_51 = e0 | all_0_59_59 = e0 % 24.61/6.37 | % 24.61/6.37 +-Applying beta-rule and splitting (2624), into two cases. % 24.61/6.37 |-Branch one: % 24.61/6.37 | (1730) all_0_51_51 = e0 % 24.61/6.37 | % 24.61/6.37 | Equations (1730) can reduce 157 to: % 24.61/6.37 | (661) ~ (all_0_50_50 = e0) % 24.61/6.37 | % 24.61/6.37 | Equations (1730) can reduce 37 to: % 24.61/6.37 | (485) ~ (e4 = e0) % 24.61/6.37 | % 24.61/6.37 | Simplifying 485 yields: % 24.61/6.37 | (47) ~ (e4 = e0) % 24.61/6.37 | % 24.61/6.37 +-Applying beta-rule and splitting (32), into two cases. % 24.61/6.37 |-Branch one: % 24.61/6.37 | (368) all_0_47_47 = e2 % 24.61/6.37 | % 24.61/6.37 | Combining equations (591,368) yields a new equation: % 24.61/6.37 | (877) e3 = e2 % 24.61/6.37 | % 24.61/6.37 | Simplifying 877 yields: % 24.61/6.37 | (567) e3 = e2 % 24.61/6.37 | % 24.61/6.37 | Equations (567) can reduce 213 to: % 24.61/6.37 | (298) $false % 24.61/6.37 | % 24.61/6.37 |-The branch is then unsatisfiable % 24.61/6.37 |-Branch two: % 24.61/6.37 | (361) ~ (all_0_47_47 = e2) % 24.61/6.37 | (371) all_0_51_51 = e2 | all_0_59_59 = e2 % 24.61/6.37 | % 24.61/6.37 +-Applying beta-rule and splitting (103), into two cases. % 24.61/6.37 |-Branch one: % 24.61/6.37 | (838) all_0_50_50 = e2 % 24.61/6.37 | % 24.61/6.37 | Equations (838) can reduce 661 to: % 24.61/6.37 | (139) ~ (e2 = e0) % 24.61/6.37 | % 24.61/6.37 +-Applying beta-rule and splitting (125), into two cases. % 24.61/6.37 |-Branch one: % 24.61/6.37 | (479) all_0_40_40 = e4 % 24.61/6.37 | % 24.61/6.37 | Combining equations (461,479) yields a new equation: % 24.61/6.37 | (481) e4 = e0 % 24.61/6.37 | % 24.61/6.37 | Equations (481) can reduce 47 to: % 24.61/6.37 | (298) $false % 24.61/6.37 | % 24.61/6.37 |-The branch is then unsatisfiable % 24.61/6.37 |-Branch two: % 24.61/6.37 | (483) ~ (all_0_40_40 = e4) % 24.61/6.37 | (484) all_0_45_45 = e4 | all_0_50_50 = e4 | all_0_57_57 = e4 % 24.61/6.37 | % 24.61/6.37 +-Applying beta-rule and splitting (371), into two cases. % 24.61/6.37 |-Branch one: % 24.61/6.37 | (396) all_0_51_51 = e2 % 24.61/6.37 | % 24.61/6.37 | Combining equations (396,1730) yields a new equation: % 24.61/6.37 | (568) e2 = e0 % 24.61/6.37 | % 24.61/6.37 | Simplifying 568 yields: % 24.61/6.37 | (569) e2 = e0 % 24.61/6.37 | % 24.61/6.37 | Equations (569) can reduce 139 to: % 24.61/6.37 | (298) $false % 24.61/6.37 | % 24.61/6.37 |-The branch is then unsatisfiable % 24.61/6.37 |-Branch two: % 24.61/6.37 | (885) ~ (all_0_51_51 = e2) % 24.61/6.37 | (886) all_0_59_59 = e2 % 24.61/6.37 | % 24.61/6.37 | Equations (886) can reduce 123 to: % 24.61/6.37 | (399) ~ (e4 = e2) % 24.61/6.37 | % 24.61/6.37 | Simplifying 399 yields: % 24.61/6.37 | (46) ~ (e4 = e2) % 24.61/6.37 | % 24.61/6.37 +-Applying beta-rule and splitting (484), into two cases. % 24.61/6.37 |-Branch one: % 24.61/6.37 | (1221) all_0_45_45 = e4 % 24.61/6.37 | % 24.61/6.37 | Combining equations (284,1221) yields a new equation: % 24.61/6.37 | (535) e4 = e1 % 24.61/6.37 | % 24.61/6.37 | Equations (535) can reduce 115 to: % 24.61/6.37 | (298) $false % 24.61/6.37 | % 24.61/6.37 |-The branch is then unsatisfiable % 24.61/6.37 |-Branch two: % 24.61/6.37 | (1224) ~ (all_0_45_45 = e4) % 24.61/6.37 | (1225) all_0_50_50 = e4 | all_0_57_57 = e4 % 24.61/6.37 | % 24.61/6.37 +-Applying beta-rule and splitting (1225), into two cases. % 24.61/6.37 |-Branch one: % 24.61/6.37 | (523) all_0_50_50 = e4 % 24.61/6.37 | % 24.61/6.37 | Combining equations (838,523) yields a new equation: % 24.61/6.37 | (409) e4 = e2 % 24.61/6.37 | % 24.61/6.37 | Equations (409) can reduce 46 to: % 24.61/6.37 | (298) $false % 24.61/6.37 | % 24.61/6.37 |-The branch is then unsatisfiable % 24.61/6.37 |-Branch two: % 24.61/6.37 | (596) ~ (all_0_50_50 = e4) % 24.61/6.37 | (407) all_0_57_57 = e4 % 24.61/6.37 | % 24.61/6.37 +-Applying beta-rule and splitting (132), into two cases. % 24.61/6.37 |-Branch one: % 24.61/6.37 | (4611) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_38_38 = e0 & ~ (all_0_37_37 = e1) & ~ (all_0_55_55 = all_0_59_59)) % 24.61/6.37 | % 24.61/6.37 +-Applying beta-rule and splitting (4611), into two cases. % 24.61/6.37 |-Branch one: % 24.61/6.37 | (4612) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_52_52 = all_0_58_58)) % 24.61/6.37 | % 24.61/6.37 +-Applying beta-rule and splitting (4612), into two cases. % 24.61/6.37 |-Branch one: % 24.61/6.38 | (4613) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_48_48 = all_0_57_57)) % 24.61/6.38 | % 24.61/6.38 +-Applying beta-rule and splitting (4613), into two cases. % 24.61/6.38 |-Branch one: % 24.61/6.38 | (4614) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56)) % 24.61/6.38 | % 24.61/6.38 +-Applying beta-rule and splitting (4614), into two cases. % 24.61/6.38 |-Branch one: % 24.61/6.38 | (4615) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) % 24.61/6.38 | % 24.61/6.38 +-Applying beta-rule and splitting (4615), into two cases. % 24.61/6.38 |-Branch one: % 24.61/6.38 | (4616) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) % 24.61/6.38 | % 24.61/6.38 +-Applying beta-rule and splitting (4616), into two cases. % 24.61/6.38 |-Branch one: % 24.61/6.38 | (4617) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) % 24.61/6.38 | % 24.61/6.38 +-Applying beta-rule and splitting (4617), into two cases. % 24.61/6.38 |-Branch one: % 24.61/6.38 | (4618) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) % 24.61/6.38 | % 24.61/6.38 +-Applying beta-rule and splitting (4618), into two cases. % 24.61/6.38 |-Branch one: % 24.61/6.38 | (4619) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) % 24.61/6.38 | % 24.61/6.38 +-Applying beta-rule and splitting (4619), into two cases. % 24.61/6.38 |-Branch one: % 24.61/6.38 | (4620) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) % 24.61/6.38 | % 24.61/6.38 +-Applying beta-rule and splitting (4620), into two cases. % 24.61/6.38 |-Branch one: % 24.61/6.38 | (4621) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) % 24.61/6.38 | % 24.61/6.38 +-Applying beta-rule and splitting (4621), into two cases. % 24.61/6.38 |-Branch one: % 24.61/6.38 | (4622) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) % 24.61/6.38 | % 24.61/6.38 +-Applying beta-rule and splitting (4622), into two cases. % 24.61/6.38 |-Branch one: % 24.61/6.38 | (4623) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) % 24.61/6.38 | % 24.61/6.38 +-Applying beta-rule and splitting (4623), into two cases. % 24.61/6.38 |-Branch one: % 24.61/6.38 | (4624) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) % 24.61/6.38 | % 24.61/6.38 +-Applying beta-rule and splitting (4624), into two cases. % 24.61/6.38 |-Branch one: % 24.61/6.38 | (4625) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) % 24.61/6.38 | % 24.61/6.38 +-Applying beta-rule and splitting (4625), into two cases. % 24.61/6.38 |-Branch one: % 24.61/6.38 | (4626) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) % 24.61/6.38 | % 24.61/6.38 +-Applying beta-rule and splitting (4626), into two cases. % 24.61/6.38 |-Branch one: % 24.61/6.38 | (4627) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) % 24.61/6.38 | % 24.61/6.38 +-Applying beta-rule and splitting (4627), into two cases. % 24.61/6.38 |-Branch one: % 24.61/6.38 | (4628) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) % 24.61/6.39 | % 24.61/6.39 +-Applying beta-rule and splitting (4628), into two cases. % 24.61/6.39 |-Branch one: % 24.61/6.39 | (4629) all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44) % 24.61/6.39 | % 24.61/6.39 | Applying alpha-rule on (4629) yields: % 24.61/6.39 | (1760) all_0_1_1 = e4 % 24.61/6.39 | (4631) ~ (all_0_0_0 = e3) % 24.61/6.39 | (4632) ~ (all_0_40_40 = all_0_44_44) % 24.61/6.39 | % 24.61/6.39 | Equations (461,500) can reduce 4632 to: % 24.61/6.39 | (298) $false % 24.61/6.39 | % 24.61/6.39 |-The branch is then unsatisfiable % 24.61/6.39 |-Branch two: % 24.61/6.39 | (4634) all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49) % 24.61/6.39 | % 24.61/6.39 | Applying alpha-rule on (4634) yields: % 24.61/6.39 | (4635) all_0_3_3 = e4 % 24.61/6.39 | (4636) ~ (all_0_2_2 = e2) % 24.61/6.39 | (4637) ~ (all_0_41_41 = all_0_49_49) % 24.61/6.39 | % 24.61/6.39 | Equations (603,506) can reduce 4637 to: % 24.61/6.39 | (298) $false % 24.61/6.39 | % 24.61/6.39 |-The branch is then unsatisfiable % 24.61/6.39 |-Branch two: % 24.61/6.39 | (4641) all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53) % 24.61/6.39 | % 24.61/6.39 | Applying alpha-rule on (4641) yields: % 24.61/6.39 | (4642) all_0_5_5 = e4 % 24.61/6.39 | (4643) ~ (all_0_4_4 = e1) % 24.61/6.39 | (4644) ~ (all_0_42_42 = all_0_53_53) % 24.61/6.39 | % 24.61/6.39 | Equations (453,272) can reduce 4644 to: % 24.61/6.39 | (298) $false % 24.61/6.39 | % 24.61/6.39 |-The branch is then unsatisfiable % 24.61/6.39 |-Branch two: % 24.61/6.39 | (4646) all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56) % 24.61/6.39 | % 24.61/6.39 | Applying alpha-rule on (4646) yields: % 24.61/6.39 | (1006) all_0_7_7 = e4 % 24.61/6.39 | (4648) ~ (all_0_6_6 = e0) % 24.61/6.39 | (4649) ~ (all_0_43_43 = all_0_56_56) % 24.61/6.39 | % 24.61/6.39 | Equations (475,376) can reduce 4649 to: % 24.61/6.39 | (298) $false % 24.61/6.39 | % 24.61/6.39 |-The branch is then unsatisfiable % 24.61/6.39 |-Branch two: % 24.61/6.39 | (4651) all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44) % 24.61/6.39 | % 24.61/6.39 | Applying alpha-rule on (4651) yields: % 24.61/6.39 | (2277) all_0_9_9 = e3 % 24.61/6.39 | (4653) ~ (all_0_8_8 = e4) % 24.61/6.39 | (4632) ~ (all_0_40_40 = all_0_44_44) % 24.61/6.39 | % 24.61/6.39 | Equations (461,500) can reduce 4632 to: % 24.61/6.39 | (298) $false % 24.61/6.39 | % 24.61/6.39 |-The branch is then unsatisfiable % 24.61/6.39 |-Branch two: % 24.61/6.39 | (4657) all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50) % 24.61/6.39 | % 24.61/6.39 | Applying alpha-rule on (4657) yields: % 24.61/6.39 | (437) all_0_12_12 = e3 % 24.61/6.39 | (4659) ~ (all_0_11_11 = e2) % 24.61/6.39 | (4660) ~ (all_0_46_46 = all_0_50_50) % 24.61/6.39 | % 24.61/6.39 | Equations (358,838) can reduce 4660 to: % 24.61/6.39 | (298) $false % 24.61/6.39 | % 24.61/6.39 |-The branch is then unsatisfiable % 24.61/6.39 |-Branch two: % 24.61/6.39 | (4663) all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54) % 24.61/6.39 | % 24.61/6.39 | Applying alpha-rule on (4663) yields: % 24.61/6.39 | (4664) all_0_14_14 = e3 % 24.61/6.39 | (4665) ~ (all_0_13_13 = e1) % 24.61/6.39 | (4666) ~ (all_0_47_47 = all_0_54_54) % 24.61/6.39 | % 24.61/6.39 | Equations (591,424) can reduce 4666 to: % 24.61/6.39 | (298) $false % 24.61/6.39 | % 24.61/6.39 |-The branch is then unsatisfiable % 24.61/6.39 |-Branch two: % 24.61/6.39 | (4668) all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57) % 24.61/6.39 | % 24.61/6.39 | Applying alpha-rule on (4668) yields: % 24.61/6.39 | (4669) all_0_16_16 = e3 % 24.61/6.39 | (4670) ~ (all_0_15_15 = e0) % 24.61/6.39 | (4671) ~ (all_0_48_48 = all_0_57_57) % 24.61/6.39 | % 24.61/6.39 | Equations (687,407) can reduce 4671 to: % 24.61/6.39 | (298) $false % 24.61/6.39 | % 24.61/6.39 |-The branch is then unsatisfiable % 24.61/6.39 |-Branch two: % 24.61/6.39 | (4673) all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49) % 24.61/6.39 | % 24.61/6.39 | Applying alpha-rule on (4673) yields: % 24.61/6.39 | (4674) all_0_18_18 = e2 % 24.61/6.39 | (4675) ~ (all_0_17_17 = e4) % 24.61/6.39 | (4637) ~ (all_0_41_41 = all_0_49_49) % 24.61/6.39 | % 24.61/6.40 | Equations (603,506) can reduce 4637 to: % 24.61/6.40 | (298) $false % 24.61/6.40 | % 24.61/6.40 |-The branch is then unsatisfiable % 24.61/6.40 |-Branch two: % 24.61/6.40 | (4679) all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50) % 24.61/6.40 | % 24.61/6.40 | Applying alpha-rule on (4679) yields: % 24.61/6.40 | (4680) all_0_20_20 = e2 % 24.61/6.40 | (4681) ~ (all_0_19_19 = e3) % 24.61/6.40 | (4660) ~ (all_0_46_46 = all_0_50_50) % 24.61/6.40 | % 24.61/6.40 | Equations (358,838) can reduce 4660 to: % 24.61/6.40 | (298) $false % 24.61/6.40 | % 24.61/6.40 |-The branch is then unsatisfiable % 24.61/6.40 |-Branch two: % 24.61/6.40 | (4684) all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0) % 24.61/6.40 | % 24.61/6.40 | Applying alpha-rule on (4684) yields: % 24.61/6.40 | (440) all_0_22_22 = e2 % 24.61/6.40 | (4686) ~ (all_0_21_21 = e1) % 24.61/6.40 | (1871) ~ (all_0_51_51 = e0) % 24.61/6.40 | % 24.61/6.40 | Equations (1730) can reduce 1871 to: % 24.61/6.40 | (298) $false % 24.61/6.40 | % 24.61/6.40 |-The branch is then unsatisfiable % 24.61/6.40 |-Branch two: % 24.61/6.40 | (4689) all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58) % 24.61/6.40 | % 24.61/6.40 | Applying alpha-rule on (4689) yields: % 24.61/6.40 | (4690) all_0_24_24 = e2 % 24.61/6.40 | (4691) ~ (all_0_23_23 = e0) % 24.61/6.40 | (4692) ~ (all_0_52_52 = all_0_58_58) % 24.61/6.40 | % 24.61/6.40 | Equations (326,337) can reduce 4692 to: % 24.61/6.40 | (298) $false % 24.61/6.40 | % 24.61/6.40 |-The branch is then unsatisfiable % 24.61/6.40 |-Branch two: % 24.61/6.40 | (4694) all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53) % 24.61/6.40 | % 24.61/6.40 | Applying alpha-rule on (4694) yields: % 24.61/6.40 | (4695) all_0_26_26 = e1 % 24.61/6.40 | (4696) ~ (all_0_25_25 = e4) % 24.61/6.40 | (4644) ~ (all_0_42_42 = all_0_53_53) % 24.61/6.40 | % 24.61/6.40 | Equations (453,272) can reduce 4644 to: % 24.61/6.40 | (298) $false % 24.61/6.40 | % 24.61/6.40 |-The branch is then unsatisfiable % 24.61/6.40 |-Branch two: % 24.61/6.40 | (4701) all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54) % 24.61/6.40 | % 24.61/6.40 | Applying alpha-rule on (4701) yields: % 24.61/6.40 | (2280) all_0_28_28 = e1 % 24.61/6.40 | (4703) ~ (all_0_27_27 = e3) % 24.61/6.40 | (4666) ~ (all_0_47_47 = all_0_54_54) % 24.61/6.40 | % 24.61/6.40 | Equations (591,424) can reduce 4666 to: % 24.61/6.40 | (298) $false % 24.61/6.40 | % 24.61/6.40 |-The branch is then unsatisfiable % 24.61/6.40 |-Branch two: % 24.61/6.40 | (4708) all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59) % 24.61/6.40 | % 24.61/6.40 | Applying alpha-rule on (4708) yields: % 24.61/6.40 | (4709) all_0_30_30 = e1 % 24.61/6.40 | (4710) ~ (all_0_29_29 = e0) % 24.61/6.40 | (4711) ~ (all_0_55_55 = all_0_59_59) % 24.61/6.40 | % 24.61/6.40 | Equations (385,886) can reduce 4711 to: % 24.61/6.40 | (298) $false % 24.61/6.40 | % 24.61/6.40 |-The branch is then unsatisfiable % 24.61/6.40 |-Branch two: % 24.61/6.40 | (4713) all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56) % 24.61/6.40 | % 24.61/6.40 | Applying alpha-rule on (4713) yields: % 24.61/6.40 | (4714) all_0_32_32 = e0 % 24.61/6.40 | (4715) ~ (all_0_31_31 = e4) % 24.61/6.40 | (4649) ~ (all_0_43_43 = all_0_56_56) % 24.61/6.40 | % 24.61/6.40 | Equations (475,376) can reduce 4649 to: % 24.61/6.40 | (298) $false % 24.61/6.40 | % 24.61/6.40 |-The branch is then unsatisfiable % 24.61/6.40 |-Branch two: % 24.61/6.40 | (4719) all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_48_48 = all_0_57_57) % 24.61/6.40 | % 24.61/6.40 | Applying alpha-rule on (4719) yields: % 24.61/6.40 | (4720) all_0_34_34 = e0 % 24.61/6.40 | (4721) ~ (all_0_33_33 = e3) % 24.61/6.40 | (4671) ~ (all_0_48_48 = all_0_57_57) % 24.61/6.40 | % 24.61/6.40 | Equations (687,407) can reduce 4671 to: % 24.61/6.40 | (298) $false % 24.61/6.40 | % 24.61/6.40 |-The branch is then unsatisfiable % 24.61/6.40 |-Branch two: % 24.61/6.40 | (4725) all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_52_52 = all_0_58_58) % 24.61/6.40 | % 24.61/6.40 | Applying alpha-rule on (4725) yields: % 24.61/6.40 | (4726) all_0_36_36 = e0 % 24.61/6.40 | (4727) ~ (all_0_35_35 = e2) % 24.61/6.40 | (4692) ~ (all_0_52_52 = all_0_58_58) % 24.61/6.40 | % 24.61/6.40 | Equations (326,337) can reduce 4692 to: % 24.61/6.40 | (298) $false % 24.61/6.40 | % 24.61/6.40 |-The branch is then unsatisfiable % 24.61/6.40 |-Branch two: % 24.61/6.40 | (4731) all_0_38_38 = e0 & ~ (all_0_37_37 = e1) & ~ (all_0_55_55 = all_0_59_59) % 24.61/6.41 | % 24.61/6.41 | Applying alpha-rule on (4731) yields: % 24.61/6.41 | (4732) all_0_38_38 = e0 % 24.61/6.41 | (4733) ~ (all_0_37_37 = e1) % 24.61/6.41 | (4711) ~ (all_0_55_55 = all_0_59_59) % 24.61/6.41 | % 24.61/6.41 | Equations (385,886) can reduce 4711 to: % 24.61/6.41 | (298) $false % 24.61/6.41 | % 24.61/6.41 |-The branch is then unsatisfiable % 24.61/6.41 |-Branch two: % 24.61/6.41 | (4738) all_0_58_58 = e1 & ~ (all_0_51_51 = e0) & ~ (all_0_59_59 = e2) % 24.61/6.41 | % 24.61/6.41 | Applying alpha-rule on (4738) yields: % 24.61/6.41 | (337) all_0_58_58 = e1 % 24.61/6.41 | (1871) ~ (all_0_51_51 = e0) % 24.61/6.41 | (963) ~ (all_0_59_59 = e2) % 24.61/6.41 | % 24.61/6.41 | Equations (886) can reduce 963 to: % 24.61/6.41 | (298) $false % 24.61/6.41 | % 24.61/6.41 |-The branch is then unsatisfiable % 24.61/6.41 |-Branch two: % 24.61/6.41 | (398) ~ (all_0_50_50 = e2) % 24.61/6.41 | (1906) all_0_51_51 = e2 | all_0_52_52 = e2 % 24.61/6.41 | % 24.61/6.41 +-Applying beta-rule and splitting (248), into two cases. % 24.61/6.41 |-Branch one: % 24.61/6.41 | (948) all_0_45_45 = e2 % 24.61/6.41 | % 24.61/6.41 | Combining equations (284,948) yields a new equation: % 24.61/6.41 | (544) e2 = e1 % 24.61/6.41 | % 24.61/6.41 | Equations (544) can reduce 134 to: % 24.61/6.41 | (298) $false % 24.61/6.41 | % 24.61/6.41 |-The branch is then unsatisfiable % 24.61/6.41 |-Branch two: % 24.61/6.41 | (951) ~ (all_0_45_45 = e2) % 24.61/6.41 | (952) all_0_50_50 = e2 | all_0_54_54 = e2 | all_0_57_57 = e2 % 24.61/6.41 | % 24.61/6.41 | Equations (284) can reduce 951 to: % 24.61/6.41 | (263) ~ (e2 = e1) % 24.61/6.41 | % 24.61/6.41 | Simplifying 263 yields: % 24.61/6.41 | (134) ~ (e2 = e1) % 24.61/6.41 | % 24.61/6.41 +-Applying beta-rule and splitting (1906), into two cases. % 24.61/6.41 |-Branch one: % 24.61/6.41 | (396) all_0_51_51 = e2 % 24.61/6.41 | % 24.61/6.41 | Combining equations (1730,396) yields a new equation: % 24.61/6.41 | (569) e2 = e0 % 24.61/6.41 | % 24.61/6.41 | Equations (569) can reduce 139 to: % 24.61/6.41 | (298) $false % 24.61/6.41 | % 24.61/6.41 |-The branch is then unsatisfiable % 24.61/6.41 |-Branch two: % 24.61/6.41 | (885) ~ (all_0_51_51 = e2) % 24.61/6.41 | (938) all_0_52_52 = e2 % 24.61/6.41 | % 24.61/6.41 | Combining equations (326,938) yields a new equation: % 24.61/6.41 | (544) e2 = e1 % 24.61/6.41 | % 24.61/6.41 | Equations (544) can reduce 134 to: % 24.61/6.41 | (298) $false % 24.61/6.41 | % 24.61/6.41 |-The branch is then unsatisfiable % 24.61/6.41 |-Branch two: % 24.61/6.41 | (1871) ~ (all_0_51_51 = e0) % 24.61/6.41 | (2627) all_0_59_59 = e0 % 24.61/6.41 | % 24.61/6.41 | Equations (2627) can reduce 309 to: % 24.61/6.41 | (298) $false % 24.61/6.41 | % 24.61/6.41 |-The branch is then unsatisfiable % 24.61/6.41 |-Branch two: % 24.61/6.41 | (493) ~ (all_0_47_47 = e3) % 24.61/6.41 | (907) all_0_59_59 = e3 % 24.61/6.41 | % 24.61/6.41 | Equations (907) can reduce 910 to: % 24.61/6.41 | (298) $false % 24.61/6.41 | % 24.61/6.41 |-The branch is then unsatisfiable % 24.61/6.41 |-Branch two: % 24.61/6.41 | (503) ~ (all_0_44_44 = e0) % 24.61/6.41 | (504) all_0_49_49 = e0 | all_0_56_56 = e0 % 24.61/6.41 | % 24.61/6.41 +-Applying beta-rule and splitting (10), into two cases. % 24.61/6.41 |-Branch one: % 24.61/6.41 | (500) all_0_44_44 = e0 % 24.61/6.41 | % 24.61/6.41 | Equations (500) can reduce 503 to: % 24.61/6.41 | (298) $false % 24.61/6.41 | % 24.61/6.41 |-The branch is then unsatisfiable % 24.61/6.41 |-Branch two: % 24.61/6.41 | (503) ~ (all_0_44_44 = e0) % 24.61/6.41 | (1310) all_0_45_45 = e0 | all_0_47_47 = e0 | all_0_48_48 = e0 % 24.61/6.41 | % 24.61/6.41 +-Applying beta-rule and splitting (1310), into two cases. % 24.61/6.41 |-Branch one: % 24.61/6.41 | (295) all_0_45_45 = e0 % 24.61/6.41 | % 24.61/6.41 | Combining equations (295,284) yields a new equation: % 24.61/6.41 | (297) e1 = e0 % 24.61/6.41 | % 24.61/6.41 | Equations (297) can reduce 231 to: % 24.61/6.41 | (298) $false % 24.61/6.41 | % 24.61/6.41 |-The branch is then unsatisfiable % 24.61/6.41 |-Branch two: % 24.61/6.41 | (299) ~ (all_0_45_45 = e0) % 24.61/6.41 | (1315) all_0_47_47 = e0 | all_0_48_48 = e0 % 24.61/6.41 | % 24.61/6.41 +-Applying beta-rule and splitting (1315), into two cases. % 24.61/6.41 |-Branch one: % 24.61/6.41 | (525) all_0_47_47 = e0 % 24.61/6.41 | % 24.61/6.41 | Equations (525) can reduce 76 to: % 24.61/6.41 | (485) ~ (e4 = e0) % 24.61/6.41 | % 24.61/6.41 | Simplifying 485 yields: % 24.61/6.41 | (47) ~ (e4 = e0) % 24.61/6.41 | % 24.61/6.41 | From (525) and (177) follows: % 24.61/6.41 | (8173) op(e0, e3) = all_0_13_13 % 24.61/6.41 | % 24.61/6.41 | From (525) and (235) follows: % 24.61/6.41 | (8174) op(e0, e1) = all_0_14_14 % 24.61/6.41 | % 24.61/6.41 +-Applying beta-rule and splitting (504), into two cases. % 24.61/6.41 |-Branch one: % 24.61/6.41 | (637) all_0_49_49 = e0 % 24.61/6.41 | % 24.61/6.41 | Equations (637) can reduce 205 to: % 24.61/6.41 | (503) ~ (all_0_44_44 = e0) % 24.61/6.41 | % 24.61/6.41 | Equations (637) can reduce 82 to: % 24.61/6.41 | (1990) ~ (all_0_51_51 = e0) % 24.61/6.41 | % 24.61/6.41 | Simplifying 1990 yields: % 24.61/6.41 | (1871) ~ (all_0_51_51 = e0) % 24.61/6.41 | % 24.61/6.41 | Equations (637) can reduce 329 to: % 24.61/6.41 | (526) ~ (e1 = e0) % 24.61/6.41 | % 24.61/6.41 | Simplifying 526 yields: % 24.61/6.41 | (231) ~ (e1 = e0) % 24.61/6.41 | % 24.61/6.41 | From (637) and (148) follows: % 24.61/6.41 | (8181) op(e0, e4) = all_0_18_18 % 24.61/6.41 | % 24.61/6.41 | From (637) and (110) follows: % 24.61/6.41 | (1351) op(e2, e4) = e0 % 24.61/6.41 | % 24.61/6.41 +-Applying beta-rule and splitting (226), into two cases. % 24.61/6.41 |-Branch one: % 24.61/6.41 | (506) all_0_49_49 = e4 % 24.61/6.41 | % 24.61/6.41 | Combining equations (637,506) yields a new equation: % 24.61/6.41 | (481) e4 = e0 % 24.61/6.41 | % 24.61/6.41 | Equations (481) can reduce 47 to: % 24.61/6.41 | (298) $false % 24.61/6.41 | % 24.61/6.41 |-The branch is then unsatisfiable % 24.61/6.41 |-Branch two: % 24.61/6.41 | (497) ~ (all_0_49_49 = e4) % 24.61/6.41 | (509) all_0_50_50 = e4 | all_0_52_52 = e4 % 24.61/6.41 | % 24.61/6.41 | Equations (637) can reduce 497 to: % 24.61/6.41 | (485) ~ (e4 = e0) % 24.61/6.41 | % 24.61/6.41 | Simplifying 485 yields: % 24.61/6.41 | (47) ~ (e4 = e0) % 24.61/6.41 | % 24.61/6.41 +-Applying beta-rule and splitting (1707), into two cases. % 24.61/6.41 |-Branch one: % 24.61/6.41 | (1730) all_0_51_51 = e0 % 24.61/6.41 | % 24.61/6.41 | Equations (1730) can reduce 1871 to: % 24.61/6.41 | (298) $false % 24.61/6.41 | % 24.61/6.41 |-The branch is then unsatisfiable % 24.61/6.41 |-Branch two: % 24.61/6.41 | (1871) ~ (all_0_51_51 = e0) % 24.61/6.41 | (396) all_0_51_51 = e2 % 24.61/6.41 | % 24.61/6.41 | Equations (396) can reduce 157 to: % 24.61/6.41 | (398) ~ (all_0_50_50 = e2) % 24.61/6.41 | % 24.61/6.41 | Equations (396) can reduce 73 to: % 24.61/6.41 | (2551) ~ (all_0_59_59 = e2) % 24.61/6.41 | % 24.61/6.41 | Simplifying 2551 yields: % 24.61/6.41 | (963) ~ (all_0_59_59 = e2) % 24.61/6.41 | % 24.61/6.41 | Equations (396) can reduce 344 to: % 24.61/6.41 | (134) ~ (e2 = e1) % 24.61/6.41 | % 24.61/6.41 | From (396) and (169) follows: % 24.61/6.41 | (404) op(e2, e2) = all_0_21_21 % 24.61/6.41 | % 24.61/6.41 | From (396) and (33) follows: % 24.61/6.41 | (405) op(e2, e1) = all_0_22_22 % 24.61/6.41 | % 24.61/6.41 | From (396) and (149) follows: % 24.61/6.41 | (406) op(e2, e1) = e2 % 24.61/6.41 | % 24.61/6.41 +-Applying beta-rule and splitting (63), into two cases. % 24.61/6.41 |-Branch one: % 24.61/6.41 | (495) all_0_44_44 = e4 % 24.61/6.41 | % 24.61/6.41 | Equations (495) can reduce 610 to: % 24.61/6.41 | (298) $false % 24.61/6.41 | % 24.61/6.41 |-The branch is then unsatisfiable % 24.61/6.41 |-Branch two: % 24.61/6.41 | (610) ~ (all_0_44_44 = e4) % 24.61/6.41 | (615) all_0_49_49 = e4 | all_0_56_56 = e4 % 24.61/6.41 | % 24.61/6.41 +-Applying beta-rule and splitting (251), into two cases. % 24.61/6.41 |-Branch one: % 24.61/6.41 | (469) all_0_42_42 = e3 % 24.61/6.41 | % 24.61/6.41 | Combining equations (453,469) yields a new equation: % 24.61/6.41 | (420) e3 = e1 % 24.61/6.41 | % 24.61/6.41 | Equations (420) can reduce 214 to: % 24.61/6.41 | (298) $false % 24.61/6.41 | % 24.61/6.41 |-The branch is then unsatisfiable % 24.61/6.41 |-Branch two: % 24.61/6.41 | (847) ~ (all_0_42_42 = e3) % 24.61/6.41 | (1512) all_0_47_47 = e3 | all_0_59_59 = e3 % 24.61/6.41 | % 24.61/6.41 | Equations (453) can reduce 847 to: % 24.61/6.41 | (333) ~ (e3 = e1) % 24.61/6.41 | % 24.61/6.41 | Simplifying 333 yields: % 24.61/6.41 | (214) ~ (e3 = e1) % 24.61/6.41 | % 24.61/6.41 +-Applying beta-rule and splitting (615), into two cases. % 24.61/6.41 |-Branch one: % 24.61/6.41 | (506) all_0_49_49 = e4 % 24.61/6.41 | % 24.61/6.41 | Combining equations (637,506) yields a new equation: % 24.61/6.41 | (481) e4 = e0 % 24.61/6.41 | % 24.61/6.41 | Equations (481) can reduce 47 to: % 24.61/6.41 | (298) $false % 24.61/6.41 | % 24.61/6.41 |-The branch is then unsatisfiable % 24.61/6.41 |-Branch two: % 24.61/6.41 | (497) ~ (all_0_49_49 = e4) % 24.61/6.41 | (390) all_0_56_56 = e4 % 24.61/6.41 | % 24.61/6.41 | Equations (390) can reduce 195 to: % 24.61/6.41 | (610) ~ (all_0_44_44 = e4) % 24.61/6.41 | % 24.61/6.41 | Equations (390) can reduce 279 to: % 24.61/6.41 | (115) ~ (e4 = e1) % 24.61/6.41 | % 24.61/6.41 | From (390) and (48) follows: % 24.61/6.41 | (1387) op(e0, e4) = e4 % 24.61/6.41 | % 24.61/6.41 +-Applying beta-rule and splitting (140), into two cases. % 24.61/6.41 |-Branch one: % 24.61/6.41 | (892) all_0_44_44 = e3 % 24.61/6.41 | % 24.61/6.41 | Equations (892) can reduce 610 to: % 24.61/6.41 | (472) ~ (e4 = e3) % 24.61/6.41 | % 24.61/6.41 | Simplifying 472 yields: % 24.61/6.41 | (184) ~ (e4 = e3) % 24.61/6.41 | % 24.61/6.41 | Equations (892) can reduce 503 to: % 24.61/6.41 | (84) ~ (e3 = e0) % 24.61/6.41 | % 24.61/6.41 | From (892) and (116) follows: % 24.61/6.41 | (2275) op(e3, e4) = all_0_9_9 % 24.61/6.41 | % 24.61/6.41 | From (892) and (124) follows: % 24.61/6.41 | (561) op(e3, e4) = e3 % 24.61/6.41 | % 24.61/6.41 +-Applying beta-rule and splitting (239), into two cases. % 24.61/6.41 |-Branch one: % 24.61/6.41 | (322) all_0_57_57 = e1 % 24.61/6.41 | % 24.61/6.41 | Equations (322) can reduce 294 to: % 24.61/6.41 | (298) $false % 24.61/6.41 | % 24.61/6.41 |-The branch is then unsatisfiable % 24.61/6.41 |-Branch two: % 24.61/6.41 | (294) ~ (all_0_57_57 = e1) % 24.61/6.41 | (2344) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e2 | all_0_57_57 = e0 % 24.61/6.41 | % 24.61/6.41 +-Applying beta-rule and splitting (96), into two cases. % 24.61/6.41 |-Branch one: % 24.61/6.41 | (376) all_0_56_56 = e3 % 24.61/6.41 | % 24.61/6.41 | Combining equations (390,376) yields a new equation: % 24.61/6.41 | (391) e4 = e3 % 24.61/6.41 | % 24.61/6.41 | Simplifying 391 yields: % 24.61/6.41 | (392) e4 = e3 % 24.61/6.41 | % 24.61/6.41 | Equations (392) can reduce 184 to: % 24.61/6.41 | (298) $false % 24.61/6.41 | % 24.61/6.41 |-The branch is then unsatisfiable % 24.61/6.41 |-Branch two: % 24.61/6.41 | (890) ~ (all_0_56_56 = e3) % 24.61/6.41 | (891) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 24.61/6.41 | % 24.61/6.41 +-Applying beta-rule and splitting (248), into two cases. % 24.61/6.41 |-Branch one: % 24.61/6.41 | (948) all_0_45_45 = e2 % 24.61/6.41 | % 24.61/6.41 | Combining equations (284,948) yields a new equation: % 24.61/6.41 | (544) e2 = e1 % 24.61/6.41 | % 24.61/6.41 | Equations (544) can reduce 134 to: % 24.61/6.41 | (298) $false % 24.61/6.41 | % 24.61/6.41 |-The branch is then unsatisfiable % 24.61/6.41 |-Branch two: % 24.61/6.41 | (951) ~ (all_0_45_45 = e2) % 24.61/6.41 | (952) all_0_50_50 = e2 | all_0_54_54 = e2 | all_0_57_57 = e2 % 24.61/6.41 | % 24.61/6.41 +-Applying beta-rule and splitting (245), into two cases. % 24.61/6.41 |-Branch one: % 24.61/6.41 | (372) all_0_57_57 = e2 % 24.61/6.41 | % 24.61/6.42 | Equations (372) can reduce 905 to: % 24.61/6.42 | (401) ~ (e3 = e2) % 24.61/6.42 | % 24.61/6.42 | Simplifying 401 yields: % 24.61/6.42 | (213) ~ (e3 = e2) % 24.61/6.42 | % 24.61/6.42 | Equations (372) can reduce 294 to: % 24.61/6.42 | (134) ~ (e2 = e1) % 24.61/6.42 | % 24.61/6.42 | Equations (372) can reduce 307 to: % 24.61/6.42 | (139) ~ (e2 = e0) % 24.61/6.42 | % 24.61/6.42 | From (372) and (30) follows: % 24.61/6.42 | (374) op(e2, e3) = all_0_34_34 % 24.61/6.42 | % 24.61/6.42 | From (372) and (150) follows: % 24.61/6.42 | (375) op(e0, e3) = e2 % 24.61/6.42 | % 24.61/6.42 +-Applying beta-rule and splitting (891), into two cases. % 24.61/6.42 |-Branch one: % 24.61/6.42 | (902) all_0_57_57 = e3 % 24.61/6.42 | % 24.61/6.42 | Combining equations (372,902) yields a new equation: % 24.61/6.42 | (567) e3 = e2 % 24.61/6.42 | % 24.61/6.42 | Equations (567) can reduce 213 to: % 24.61/6.42 | (298) $false % 24.61/6.42 | % 24.61/6.42 |-The branch is then unsatisfiable % 24.61/6.42 |-Branch two: % 24.61/6.42 | (905) ~ (all_0_57_57 = e3) % 24.61/6.42 | (906) all_0_59_59 = e3 | all_0_60_60 = e3 % 24.61/6.42 | % 24.61/6.42 +-Applying beta-rule and splitting (509), into two cases. % 24.61/6.42 |-Branch one: % 24.61/6.42 | (523) all_0_50_50 = e4 % 24.61/6.42 | % 24.61/6.42 | From (523) and (117) follows: % 24.61/6.42 | (8254) op(e4, e2) = all_0_19_19 % 24.61/6.42 | % 24.61/6.42 | From (523) and (207) follows: % 24.61/6.42 | (524) op(e2, e3) = e4 % 24.61/6.42 | % 24.61/6.42 +-Applying beta-rule and splitting (906), into two cases. % 24.61/6.42 |-Branch one: % 24.61/6.42 | (907) all_0_59_59 = e3 % 24.61/6.42 | % 24.61/6.42 | From (907) and (114) follows: % 24.61/6.42 | (2846) op(e0, e1) = e3 % 24.61/6.42 | % 24.61/6.42 | Instantiating formula (206) with e4, e2, all_0_19_19, e4 and discharging atoms op(e4, e2) = all_0_19_19, op(e4, e2) = e4, yields: % 24.61/6.42 | (8258) all_0_19_19 = e4 % 24.61/6.42 | % 24.61/6.42 | Instantiating formula (206) with e3, e4, e3, all_0_9_9 and discharging atoms op(e3, e4) = all_0_9_9, op(e3, e4) = e3, yields: % 24.61/6.42 | (2277) all_0_9_9 = e3 % 24.61/6.42 | % 24.61/6.42 | Instantiating formula (206) with e2, e3, e4, all_0_34_34 and discharging atoms op(e2, e3) = all_0_34_34, op(e2, e3) = e4, yields: % 24.61/6.42 | (5626) all_0_34_34 = e4 % 24.61/6.42 | % 24.61/6.42 | Instantiating formula (206) with e2, e2, all_0_21_21, e3 and discharging atoms op(e2, e2) = all_0_21_21, op(e2, e2) = e3, yields: % 24.61/6.42 | (443) all_0_21_21 = e3 % 24.61/6.42 | % 24.61/6.42 | Instantiating formula (206) with e2, e1, e2, all_0_22_22 and discharging atoms op(e2, e1) = all_0_22_22, op(e2, e1) = e2, yields: % 24.61/6.42 | (440) all_0_22_22 = e2 % 24.61/6.42 | % 24.61/6.42 | Instantiating formula (206) with e0, e4, e4, all_0_18_18 and discharging atoms op(e0, e4) = all_0_18_18, op(e0, e4) = e4, yields: % 24.61/6.42 | (8263) all_0_18_18 = e4 % 24.61/6.42 | % 24.61/6.42 | Instantiating formula (206) with e0, e3, e2, all_0_13_13 and discharging atoms op(e0, e3) = all_0_13_13, op(e0, e3) = e2, yields: % 24.61/6.42 | (8264) all_0_13_13 = e2 % 24.61/6.42 | % 24.61/6.42 | Instantiating formula (206) with e0, e1, e3, all_0_14_14 and discharging atoms op(e0, e1) = all_0_14_14, op(e0, e1) = e3, yields: % 24.61/6.42 | (4664) all_0_14_14 = e3 % 24.61/6.42 | % 24.61/6.42 | From (8258) and (8254) follows: % 24.61/6.42 | (576) op(e4, e2) = e4 % 24.61/6.42 | % 24.61/6.42 | From (2277) and (2275) follows: % 24.61/6.42 | (561) op(e3, e4) = e3 % 24.61/6.42 | % 24.61/6.42 | From (5626) and (374) follows: % 24.61/6.42 | (524) op(e2, e3) = e4 % 24.61/6.42 | % 24.61/6.42 | From (443) and (404) follows: % 24.61/6.42 | (72) op(e2, e2) = e3 % 24.61/6.42 | % 24.61/6.42 | From (440) and (405) follows: % 24.61/6.42 | (406) op(e2, e1) = e2 % 24.61/6.42 | % 24.61/6.42 | From (8263) and (8181) follows: % 24.61/6.42 | (1387) op(e0, e4) = e4 % 24.61/6.42 | % 24.61/6.42 | From (8264) and (8173) follows: % 24.61/6.42 | (375) op(e0, e3) = e2 % 24.61/6.42 | % 24.61/6.42 | From (4664) and (8174) follows: % 24.61/6.42 | (2846) op(e0, e1) = e3 % 24.61/6.42 | % 24.61/6.42 +-Applying beta-rule and splitting (55), into two cases. % 24.61/6.42 |-Branch one: % 24.61/6.42 | (529) unit = e1 % 24.61/6.42 | % 24.61/6.42 | From (529) and (60) follows: % 24.61/6.42 | (1391) op(e1, e0) = e0 % 24.61/6.42 | % 24.61/6.42 | Instantiating formula (206) with e1, e0, e0, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e0, yields: % 24.61/6.42 | (569) e2 = e0 % 24.61/6.42 | % 24.61/6.42 | Equations (569) can reduce 139 to: % 24.61/6.42 | (298) $false % 24.61/6.42 | % 24.61/6.42 |-The branch is then unsatisfiable % 24.61/6.42 |-Branch two: % 24.61/6.42 | (540) ~ (unit = e1) % 24.61/6.42 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 24.61/6.42 | % 24.61/6.42 +-Applying beta-rule and splitting (541), into two cases. % 24.61/6.42 |-Branch one: % 24.61/6.42 | (542) unit = e0 % 24.61/6.42 | % 24.61/6.42 | From (542) and (143) follows: % 24.61/6.42 | (1389) op(e0, e3) = e3 % 24.61/6.42 | % 24.61/6.42 | From (542) and (100) follows: % 24.61/6.42 | (2926) op(e0, e1) = e1 % 24.61/6.42 | % 24.61/6.42 | Instantiating formula (206) with e0, e3, e3, e2 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e2, yields: % 24.61/6.42 | (567) e3 = e2 % 24.61/6.42 | % 24.61/6.42 | Instantiating formula (206) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields: % 24.61/6.42 | (420) e3 = e1 % 24.61/6.42 | % 24.61/6.42 | Combining equations (567,420) yields a new equation: % 24.61/6.42 | (887) e2 = e1 % 24.61/6.42 | % 24.61/6.42 | Simplifying 887 yields: % 24.61/6.42 | (544) e2 = e1 % 24.61/6.42 | % 24.61/6.42 | Equations (544) can reduce 134 to: % 24.61/6.42 | (298) $false % 24.61/6.42 | % 24.61/6.42 |-The branch is then unsatisfiable % 24.61/6.42 |-Branch two: % 24.61/6.42 | (546) ~ (unit = e0) % 24.61/6.42 | (547) unit = e4 | unit = e3 | unit = e2 % 24.61/6.42 | % 24.61/6.42 +-Applying beta-rule and splitting (547), into two cases. % 24.61/6.42 |-Branch one: % 24.61/6.42 | (548) unit = e3 % 24.61/6.42 | % 24.61/6.42 | From (548) and (162) follows: % 24.61/6.42 | (499) op(e3, e4) = e4 % 24.61/6.42 | % 24.61/6.42 | From (548) and (66) follows: % 24.61/6.42 | (1415) op(e2, e3) = e2 % 24.61/6.42 | % 24.61/6.42 | From (548) and (221) follows: % 24.61/6.42 | (550) op(e1, e3) = e1 % 24.61/6.42 | % 24.61/6.42 | From (548) and (67) follows: % 24.61/6.42 | (803) op(e0, e3) = e0 % 24.61/6.42 | % 24.61/6.42 | Instantiating formula (206) with e3, e4, e4, e3 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e3, yields: % 24.61/6.42 | (392) e4 = e3 % 24.61/6.42 | % 24.61/6.42 | Instantiating formula (206) with e2, e3, e2, e4 and discharging atoms op(e2, e3) = e4, op(e2, e3) = e2, yields: % 24.61/6.42 | (409) e4 = e2 % 24.61/6.42 | % 24.61/6.42 | Instantiating formula (206) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 24.61/6.42 | (420) e3 = e1 % 24.61/6.42 | % 24.61/6.42 | Instantiating formula (206) with e0, e3, e0, e2 and discharging atoms op(e0, e3) = e2, op(e0, e3) = e0, yields: % 24.61/6.42 | (569) e2 = e0 % 24.61/6.42 | % 24.61/6.42 | Combining equations (409,392) yields a new equation: % 24.61/6.42 | (567) e3 = e2 % 24.61/6.42 | % 24.61/6.42 | Combining equations (567,420) yields a new equation: % 24.61/6.42 | (887) e2 = e1 % 24.61/6.42 | % 24.61/6.42 | Simplifying 887 yields: % 24.61/6.42 | (544) e2 = e1 % 24.61/6.42 | % 24.61/6.42 | Combining equations (544,569) yields a new equation: % 24.61/6.42 | (296) e1 = e0 % 24.61/6.42 | % 24.61/6.42 | Simplifying 296 yields: % 24.61/6.42 | (297) e1 = e0 % 24.61/6.42 | % 24.61/6.42 | Equations (297) can reduce 231 to: % 24.61/6.42 | (298) $false % 24.61/6.42 | % 24.61/6.42 |-The branch is then unsatisfiable % 24.61/6.42 |-Branch two: % 24.61/6.42 | (555) ~ (unit = e3) % 24.61/6.42 | (556) unit = e4 | unit = e2 % 24.61/6.42 | % 24.61/6.42 +-Applying beta-rule and splitting (556), into two cases. % 24.61/6.42 |-Branch one: % 24.61/6.42 | (557) unit = e4 % 24.61/6.42 | % 24.61/6.42 | From (557) and (24) follows: % 24.61/6.42 | (558) op(e4, e2) = e2 % 24.61/6.42 | % 24.61/6.42 | From (557) and (67) follows: % 24.61/6.42 | (812) op(e0, e4) = e0 % 24.61/6.42 | % 24.61/6.42 | Instantiating formula (206) with e4, e2, e2, e4 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 24.61/6.42 | (409) e4 = e2 % 24.61/6.42 | % 24.61/6.42 | Instantiating formula (206) with e0, e4, e0, e4 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e0, yields: % 24.61/6.42 | (481) e4 = e0 % 24.61/6.42 | % 24.61/6.42 | Combining equations (409,481) yields a new equation: % 24.61/6.42 | (568) e2 = e0 % 24.61/6.42 | % 24.61/6.42 | Simplifying 568 yields: % 24.61/6.42 | (569) e2 = e0 % 24.90/6.42 | % 24.90/6.42 | Equations (569) can reduce 139 to: % 24.90/6.42 | (298) $false % 24.90/6.42 | % 24.90/6.42 |-The branch is then unsatisfiable % 24.90/6.42 |-Branch two: % 24.90/6.42 | (573) ~ (unit = e4) % 24.90/6.42 | (574) unit = e2 % 24.90/6.42 | % 24.90/6.42 | From (574) and (162) follows: % 24.90/6.42 | (767) op(e2, e4) = e4 % 24.90/6.42 | % 24.90/6.42 | From (574) and (143) follows: % 24.90/6.42 | (575) op(e2, e3) = e3 % 24.90/6.42 | % 24.90/6.42 | From (574) and (100) follows: % 24.90/6.42 | (825) op(e2, e1) = e1 % 24.90/6.42 | % 24.90/6.42 | From (574) and (66) follows: % 24.90/6.43 | (577) op(e2, e2) = e2 % 24.90/6.43 | % 24.90/6.43 | Instantiating formula (206) with e2, e4, e4, e0 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e0, yields: % 24.90/6.43 | (481) e4 = e0 % 24.90/6.43 | % 24.90/6.43 | Instantiating formula (206) with e2, e3, e3, e4 and discharging atoms op(e2, e3) = e4, op(e2, e3) = e3, yields: % 24.90/6.43 | (392) e4 = e3 % 24.90/6.43 | % 24.90/6.43 | Instantiating formula (206) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 24.90/6.43 | (567) e3 = e2 % 24.90/6.43 | % 24.90/6.43 | Instantiating formula (206) with e2, e1, e1, e2 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 24.90/6.43 | (544) e2 = e1 % 24.90/6.43 | % 24.90/6.43 | Combining equations (392,481) yields a new equation: % 24.90/6.43 | (654) e3 = e0 % 24.90/6.43 | % 24.90/6.43 | Simplifying 654 yields: % 24.90/6.43 | (534) e3 = e0 % 24.90/6.43 | % 24.90/6.43 | Combining equations (534,567) yields a new equation: % 24.90/6.43 | (569) e2 = e0 % 24.90/6.43 | % 24.90/6.43 | Combining equations (569,544) yields a new equation: % 24.90/6.43 | (297) e1 = e0 % 24.90/6.43 | % 24.90/6.43 | Equations (297) can reduce 231 to: % 24.90/6.43 | (298) $false % 24.90/6.43 | % 24.90/6.43 |-The branch is then unsatisfiable % 24.90/6.43 |-Branch two: % 24.90/6.43 | (910) ~ (all_0_59_59 = e3) % 24.90/6.43 | (911) all_0_60_60 = e3 % 24.90/6.43 | % 24.90/6.43 | Combining equations (911,300) yields a new equation: % 24.90/6.43 | (654) e3 = e0 % 24.90/6.43 | % 24.90/6.43 | Simplifying 654 yields: % 24.90/6.43 | (534) e3 = e0 % 24.90/6.43 | % 24.90/6.43 | Equations (534) can reduce 84 to: % 24.90/6.43 | (298) $false % 24.90/6.43 | % 24.90/6.43 |-The branch is then unsatisfiable % 24.90/6.43 |-Branch two: % 24.90/6.43 | (596) ~ (all_0_50_50 = e4) % 24.90/6.43 | (597) all_0_52_52 = e4 % 24.90/6.43 | % 24.90/6.43 | Combining equations (597,326) yields a new equation: % 24.90/6.43 | (598) e4 = e1 % 24.90/6.43 | % 24.90/6.43 | Simplifying 598 yields: % 24.90/6.43 | (535) e4 = e1 % 24.90/6.43 | % 24.90/6.43 | Equations (535) can reduce 115 to: % 24.90/6.43 | (298) $false % 24.90/6.43 | % 24.90/6.43 |-The branch is then unsatisfiable % 24.90/6.43 |-Branch two: % 24.90/6.43 | (922) ~ (all_0_57_57 = e2) % 24.90/6.43 | (923) all_0_58_58 = e2 | all_0_59_59 = e2 | all_0_60_60 = e2 % 24.90/6.43 | % 24.90/6.43 +-Applying beta-rule and splitting (509), into two cases. % 24.90/6.43 |-Branch one: % 24.90/6.43 | (523) all_0_50_50 = e4 % 24.90/6.43 | % 24.90/6.43 | Equations (523) can reduce 398 to: % 24.90/6.43 | (46) ~ (e4 = e2) % 24.90/6.43 | % 24.90/6.43 +-Applying beta-rule and splitting (1512), into two cases. % 24.90/6.43 |-Branch one: % 24.90/6.43 | (591) all_0_47_47 = e3 % 24.90/6.43 | % 24.90/6.43 | Combining equations (525,591) yields a new equation: % 24.90/6.43 | (534) e3 = e0 % 24.90/6.43 | % 24.90/6.43 | Equations (534) can reduce 84 to: % 24.90/6.43 | (298) $false % 24.90/6.43 | % 24.90/6.43 |-The branch is then unsatisfiable % 24.90/6.43 |-Branch two: % 24.90/6.43 | (493) ~ (all_0_47_47 = e3) % 24.90/6.43 | (907) all_0_59_59 = e3 % 24.90/6.43 | % 24.90/6.43 | Equations (907) can reduce 963 to: % 24.90/6.43 | (213) ~ (e3 = e2) % 24.90/6.43 | % 24.90/6.43 +-Applying beta-rule and splitting (952), into two cases. % 24.90/6.43 |-Branch one: % 24.90/6.43 | (838) all_0_50_50 = e2 % 24.90/6.43 | % 24.90/6.43 | Combining equations (523,838) yields a new equation: % 24.90/6.43 | (408) e4 = e2 % 24.90/6.43 | % 24.90/6.43 | Simplifying 408 yields: % 24.90/6.43 | (409) e4 = e2 % 24.90/6.43 | % 24.90/6.43 | Equations (409) can reduce 46 to: % 24.90/6.43 | (298) $false % 24.90/6.43 | % 24.90/6.43 |-The branch is then unsatisfiable % 24.90/6.43 |-Branch two: % 24.90/6.43 | (398) ~ (all_0_50_50 = e2) % 24.90/6.43 | (2026) all_0_54_54 = e2 | all_0_57_57 = e2 % 24.90/6.43 | % 24.90/6.43 +-Applying beta-rule and splitting (2026), into two cases. % 24.90/6.43 |-Branch one: % 24.90/6.43 | (382) all_0_54_54 = e2 % 24.90/6.43 | % 24.90/6.43 | Combining equations (382,424) yields a new equation: % 24.90/6.43 | (567) e3 = e2 % 24.90/6.43 | % 24.90/6.43 | Equations (567) can reduce 213 to: % 24.90/6.43 | (298) $false % 24.90/6.43 | % 24.90/6.43 |-The branch is then unsatisfiable % 24.90/6.43 |-Branch two: % 24.90/6.43 | (373) ~ (all_0_54_54 = e2) % 24.90/6.43 | (372) all_0_57_57 = e2 % 24.90/6.43 | % 24.90/6.43 | Equations (372) can reduce 922 to: % 24.90/6.43 | (298) $false % 24.90/6.43 | % 24.90/6.43 |-The branch is then unsatisfiable % 24.90/6.43 |-Branch two: % 24.90/6.43 | (596) ~ (all_0_50_50 = e4) % 24.90/6.43 | (597) all_0_52_52 = e4 % 24.90/6.43 | % 24.90/6.43 | Combining equations (326,597) yields a new equation: % 24.90/6.43 | (535) e4 = e1 % 24.90/6.43 | % 24.90/6.43 | Equations (535) can reduce 115 to: % 24.90/6.43 | (298) $false % 24.90/6.43 | % 24.90/6.43 |-The branch is then unsatisfiable % 24.90/6.43 |-Branch two: % 24.90/6.43 | (914) ~ (all_0_44_44 = e3) % 24.90/6.43 | (915) all_0_53_53 = e3 | all_0_56_56 = e3 % 24.90/6.43 | % 24.90/6.43 +-Applying beta-rule and splitting (509), into two cases. % 24.90/6.43 |-Branch one: % 24.90/6.43 | (523) all_0_50_50 = e4 % 24.90/6.43 | % 24.90/6.43 | Equations (523) can reduce 252 to: % 24.90/6.43 | (184) ~ (e4 = e3) % 24.90/6.43 | % 24.90/6.43 +-Applying beta-rule and splitting (915), into two cases. % 24.90/6.43 |-Branch one: % 24.90/6.43 | (419) all_0_53_53 = e3 % 24.90/6.43 | % 24.90/6.43 | Combining equations (419,272) yields a new equation: % 24.90/6.43 | (1084) e3 = e1 % 24.90/6.43 | % 24.90/6.43 | Simplifying 1084 yields: % 24.90/6.43 | (420) e3 = e1 % 24.90/6.43 | % 24.90/6.43 | Equations (420) can reduce 214 to: % 24.90/6.43 | (298) $false % 24.90/6.43 | % 24.90/6.43 |-The branch is then unsatisfiable % 24.90/6.43 |-Branch two: % 24.90/6.43 | (422) ~ (all_0_53_53 = e3) % 24.90/6.43 | (376) all_0_56_56 = e3 % 24.90/6.43 | % 24.90/6.43 | Combining equations (390,376) yields a new equation: % 24.90/6.43 | (391) e4 = e3 % 24.90/6.43 | % 24.90/6.43 | Simplifying 391 yields: % 24.90/6.43 | (392) e4 = e3 % 24.90/6.43 | % 24.90/6.43 | Equations (392) can reduce 184 to: % 24.90/6.43 | (298) $false % 24.90/6.43 | % 24.90/6.43 |-The branch is then unsatisfiable % 24.90/6.43 |-Branch two: % 24.90/6.43 | (596) ~ (all_0_50_50 = e4) % 24.90/6.43 | (597) all_0_52_52 = e4 % 24.90/6.43 | % 24.90/6.43 | Combining equations (326,597) yields a new equation: % 24.90/6.43 | (535) e4 = e1 % 24.90/6.43 | % 24.90/6.43 | Equations (535) can reduce 115 to: % 24.90/6.43 | (298) $false % 24.90/6.43 | % 24.90/6.43 |-The branch is then unsatisfiable % 24.90/6.43 |-Branch two: % 24.90/6.43 | (652) ~ (all_0_49_49 = e0) % 24.90/6.43 | (653) all_0_56_56 = e0 % 24.90/6.43 | % 24.90/6.43 | Equations (653) can reduce 306 to: % 24.90/6.43 | (298) $false % 24.90/6.43 | % 24.90/6.43 |-The branch is then unsatisfiable % 24.90/6.43 |-Branch two: % 24.90/6.43 | (589) ~ (all_0_47_47 = e0) % 24.90/6.43 | (717) all_0_48_48 = e0 % 24.90/6.43 | % 24.90/6.43 | Combining equations (687,717) yields a new equation: % 24.90/6.43 | (480) e4 = e0 % 24.90/6.43 | % 24.90/6.43 | Simplifying 480 yields: % 24.90/6.43 | (481) e4 = e0 % 24.90/6.43 | % 24.90/6.43 | Equations (481) can reduce 47 to: % 24.90/6.43 | (298) $false % 24.90/6.43 | % 24.90/6.43 |-The branch is then unsatisfiable % 24.90/6.43 |-Branch two: % 24.90/6.43 | (690) ~ (all_0_48_48 = e4) % 24.90/6.43 | (691) all_0_52_52 = e4 | all_0_60_60 = e4 % 24.90/6.43 | % 24.90/6.43 +-Applying beta-rule and splitting (691), into two cases. % 24.90/6.43 |-Branch one: % 24.90/6.43 | (597) all_0_52_52 = e4 % 24.90/6.43 | % 24.90/6.43 | Combining equations (326,597) yields a new equation: % 24.90/6.43 | (535) e4 = e1 % 24.90/6.43 | % 24.90/6.43 | Equations (535) can reduce 115 to: % 24.90/6.43 | (298) $false % 24.90/6.43 | % 24.90/6.43 |-The branch is then unsatisfiable % 24.90/6.43 |-Branch two: % 24.90/6.43 | (695) ~ (all_0_52_52 = e4) % 24.90/6.43 | (696) all_0_60_60 = e4 % 24.90/6.43 | % 24.90/6.43 | Combining equations (696,300) yields a new equation: % 24.90/6.43 | (480) e4 = e0 % 24.90/6.43 | % 24.90/6.43 | Simplifying 480 yields: % 24.90/6.43 | (481) e4 = e0 % 24.90/6.43 | % 24.90/6.43 | Equations (481) can reduce 47 to: % 24.90/6.43 | (298) $false % 24.90/6.43 | % 24.90/6.43 |-The branch is then unsatisfiable % 24.90/6.43 |-Branch two: % 24.90/6.43 | (2161) ~ (all_0_52_52 = e1) % 24.90/6.43 | (2162) all_0_55_55 = e1 | all_0_60_60 = e1 % 24.90/6.43 | % 24.90/6.43 +-Applying beta-rule and splitting (2162), into two cases. % 24.90/6.43 |-Branch one: % 24.90/6.43 | (1029) all_0_55_55 = e1 % 24.90/6.43 | % 24.90/6.43 | Combining equations (1029,385) yields a new equation: % 24.90/6.43 | (544) e2 = e1 % 24.90/6.43 | % 24.90/6.43 | Equations (544) can reduce 134 to: % 24.90/6.43 | (298) $false % 24.90/6.43 | % 24.90/6.43 |-The branch is then unsatisfiable % 24.90/6.43 |-Branch two: % 24.90/6.43 | (277) ~ (all_0_55_55 = e1) % 24.90/6.43 | (2157) all_0_60_60 = e1 % 24.90/6.43 | % 24.90/6.43 | Combining equations (300,2157) yields a new equation: % 24.90/6.43 | (297) e1 = e0 % 24.90/6.43 | % 24.90/6.43 | Equations (297) can reduce 231 to: % 24.90/6.43 | (298) $false % 24.90/6.43 | % 24.90/6.43 |-The branch is then unsatisfiable % 24.90/6.43 |-Branch two: % 24.90/6.43 | (256) ~ (all_0_42_42 = e1) % 24.90/6.43 | (456) all_0_42_42 = e3 | all_0_42_42 = e0 % 24.90/6.43 | % 24.90/6.43 +-Applying beta-rule and splitting (456), into two cases. % 24.90/6.43 |-Branch one: % 24.90/6.43 | (466) all_0_42_42 = e0 % 24.90/6.43 | % 24.90/6.43 | Equations (466) can reduce 463 to: % 24.90/6.43 | (298) $false % 24.90/6.43 | % 24.90/6.43 |-The branch is then unsatisfiable % 24.90/6.43 |-Branch two: % 24.90/6.43 | (463) ~ (all_0_42_42 = e0) % 24.90/6.43 | (469) all_0_42_42 = e3 % 24.90/6.43 | % 24.90/6.43 | Equations (469) can reduce 20 to: % 24.90/6.43 | (470) ~ (all_0_43_43 = e3) % 24.90/6.43 | % 24.90/6.43 | Simplifying 470 yields: % 24.90/6.43 | (471) ~ (all_0_43_43 = e3) % 24.90/6.43 | % 24.90/6.43 | Equations (469) can reduce 118 to: % 24.90/6.43 | (2351) ~ (all_0_59_59 = e3) % 24.90/6.43 | % 24.90/6.43 | Simplifying 2351 yields: % 24.90/6.43 | (910) ~ (all_0_59_59 = e3) % 24.90/6.43 | % 24.90/6.43 | Equations (469) can reduce 247 to: % 24.90/6.43 | (472) ~ (e4 = e3) % 24.90/6.43 | % 24.90/6.43 | Simplifying 472 yields: % 24.90/6.43 | (184) ~ (e4 = e3) % 24.90/6.43 | % 24.90/6.43 | Equations (469) can reduce 463 to: % 24.90/6.43 | (84) ~ (e3 = e0) % 24.90/6.43 | % 24.90/6.43 | From (469) and (2) follows: % 24.90/6.43 | (474) op(e4, e1) = e3 % 24.90/6.43 | % 24.90/6.43 +-Applying beta-rule and splitting (96), into two cases. % 24.90/6.43 |-Branch one: % 24.90/6.43 | (376) all_0_56_56 = e3 % 24.90/6.43 | % 24.90/6.43 | Equations (376) can reduce 106 to: % 24.90/6.43 | (111) ~ (all_0_49_49 = e3) % 24.90/6.43 | % 24.90/6.43 | Equations (376) can reduce 26 to: % 24.90/6.43 | (213) ~ (e3 = e2) % 24.90/6.43 | % 24.90/6.43 | Equations (376) can reduce 279 to: % 24.90/6.43 | (214) ~ (e3 = e1) % 24.90/6.43 | % 24.90/6.43 | Equations (376) can reduce 306 to: % 24.90/6.43 | (84) ~ (e3 = e0) % 24.90/6.43 | % 24.90/6.43 | From (376) and (58) follows: % 24.90/6.43 | (380) op(e3, e0) = all_0_31_31 % 24.90/6.43 | % 24.90/6.43 | From (376) and (48) follows: % 24.90/6.43 | (381) op(e0, e4) = e3 % 24.90/6.43 | % 24.90/6.43 +-Applying beta-rule and splitting (237), into two cases. % 24.90/6.43 |-Branch one: % 24.90/6.43 | (390) all_0_56_56 = e4 % 24.90/6.43 | % 24.90/6.43 | Combining equations (376,390) yields a new equation: % 24.90/6.43 | (392) e4 = e3 % 24.90/6.43 | % 24.90/6.43 | Equations (392) can reduce 184 to: % 24.90/6.43 | (298) $false % 24.90/6.43 | % 24.90/6.43 |-The branch is then unsatisfiable % 24.90/6.43 |-Branch two: % 24.90/6.43 | (394) ~ (all_0_56_56 = e4) % 24.90/6.43 | (395) all_0_57_57 = e4 | all_0_58_58 = e4 | all_0_60_60 = e4 % 24.90/6.43 | % 24.90/6.43 +-Applying beta-rule and splitting (395), into two cases. % 24.90/6.43 |-Branch one: % 24.90/6.43 | (407) all_0_57_57 = e4 % 24.90/6.43 | % 24.90/6.43 | Equations (407) can reduce 9 to: % 24.90/6.43 | (596) ~ (all_0_50_50 = e4) % 24.90/6.43 | % 24.90/6.43 | From (407) and (3) follows: % 24.90/6.43 | (1752) op(e4, e0) = all_0_33_33 % 24.90/6.43 | % 24.90/6.43 +-Applying beta-rule and splitting (68), into two cases. % 24.90/6.43 |-Branch one: % 24.90/6.43 | (475) all_0_43_43 = e3 % 24.90/6.43 | % 24.90/6.43 | Equations (475) can reduce 471 to: % 24.90/6.43 | (298) $false % 24.90/6.43 | % 24.90/6.43 |-The branch is then unsatisfiable % 24.90/6.43 |-Branch two: % 24.90/6.43 | (471) ~ (all_0_43_43 = e3) % 24.90/6.43 | (478) all_0_48_48 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 24.90/6.43 | % 24.90/6.43 +-Applying beta-rule and splitting (478), into two cases. % 24.90/6.43 |-Branch one: % 24.90/6.43 | (491) all_0_48_48 = e3 % 24.90/6.43 | % 24.90/6.43 | Equations (491) can reduce 16 to: % 24.90/6.43 | (471) ~ (all_0_43_43 = e3) % 24.90/6.43 | % 24.90/6.43 | Equations (491) can reduce 6 to: % 24.90/6.43 | (914) ~ (all_0_44_44 = e3) % 24.90/6.43 | % 24.90/6.43 | Equations (491) can reduce 88 to: % 24.90/6.43 | (5521) ~ (all_0_52_52 = e3) % 24.90/6.43 | % 24.90/6.43 | Simplifying 5521 yields: % 24.90/6.43 | (95) ~ (all_0_52_52 = e3) % 24.90/6.43 | % 24.90/6.43 | From (491) and (91) follows: % 24.90/6.43 | (5526) op(e3, e0) = all_0_16_16 % 24.90/6.43 | % 24.90/6.43 | From (491) and (202) follows: % 24.90/6.43 | (494) op(e3, e0) = e3 % 24.90/6.43 | % 24.90/6.43 +-Applying beta-rule and splitting (167), into two cases. % 24.90/6.43 |-Branch one: % 24.90/6.43 | (310) all_0_43_43 = e1 % 24.90/6.43 | % 24.90/6.43 | Equations (310) can reduce 194 to: % 24.90/6.43 | (2229) ~ (all_0_52_52 = e1) % 24.90/6.43 | % 24.90/6.43 | Simplifying 2229 yields: % 24.90/6.43 | (2161) ~ (all_0_52_52 = e1) % 24.90/6.43 | % 24.90/6.43 | From (310) and (34) follows: % 24.90/6.43 | (7207) op(e4, e0) = e1 % 24.90/6.43 | % 24.90/6.43 +-Applying beta-rule and splitting (160), into two cases. % 24.90/6.43 |-Branch one: % 24.90/6.43 | (771) all_0_50_50 = e1 % 24.90/6.43 | % 24.90/6.43 | Equations (771) can reduce 330 to: % 24.90/6.43 | (298) $false % 24.90/6.43 | % 24.90/6.43 |-The branch is then unsatisfiable % 24.90/6.43 |-Branch two: % 24.90/6.43 | (330) ~ (all_0_50_50 = e1) % 24.90/6.43 | (774) all_0_50_50 = e4 | all_0_50_50 = e2 | all_0_50_50 = e0 % 24.90/6.43 | % 24.90/6.43 +-Applying beta-rule and splitting (774), into two cases. % 24.90/6.43 |-Branch one: % 24.90/6.43 | (781) all_0_50_50 = e0 % 24.90/6.43 | % 24.90/6.43 | Equations (781) can reduce 661 to: % 24.90/6.43 | (298) $false % 24.90/6.43 | % 24.90/6.43 |-The branch is then unsatisfiable % 24.90/6.43 |-Branch two: % 24.90/6.43 | (661) ~ (all_0_50_50 = e0) % 24.90/6.43 | (834) all_0_50_50 = e4 | all_0_50_50 = e2 % 24.90/6.43 | % 24.90/6.43 +-Applying beta-rule and splitting (834), into two cases. % 24.90/6.43 |-Branch one: % 24.90/6.43 | (523) all_0_50_50 = e4 % 24.90/6.43 | % 24.90/6.43 | Equations (523) can reduce 596 to: % 24.90/6.43 | (298) $false % 24.90/6.43 | % 24.90/6.43 |-The branch is then unsatisfiable % 24.90/6.43 |-Branch two: % 24.90/6.43 | (596) ~ (all_0_50_50 = e4) % 24.90/6.43 | (838) all_0_50_50 = e2 % 24.90/6.43 | % 24.90/6.43 | Equations (838) can reduce 189 to: % 24.90/6.43 | (86) ~ (all_0_49_49 = e2) % 24.90/6.43 | % 24.90/6.43 | Equations (838) can reduce 157 to: % 24.90/6.43 | (1698) ~ (all_0_51_51 = e2) % 24.90/6.43 | % 24.90/6.43 | Simplifying 1698 yields: % 24.90/6.43 | (885) ~ (all_0_51_51 = e2) % 24.90/6.43 | % 24.90/6.43 | Equations (838) can reduce 234 to: % 24.90/6.43 | (2566) ~ (all_0_52_52 = e2) % 24.90/6.44 | % 24.90/6.44 | Simplifying 2566 yields: % 24.90/6.44 | (941) ~ (all_0_52_52 = e2) % 24.90/6.44 | % 24.90/6.44 | Equations (838) can reduce 330 to: % 24.90/6.44 | (134) ~ (e2 = e1) % 24.90/6.44 | % 24.90/6.44 +-Applying beta-rule and splitting (173), into two cases. % 24.90/6.44 |-Branch one: % 24.90/6.44 | (457) all_0_49_49 = e1 % 24.90/6.44 | % 24.90/6.44 | Equations (457) can reduce 329 to: % 24.90/6.44 | (298) $false % 24.90/6.44 | % 24.90/6.44 |-The branch is then unsatisfiable % 24.90/6.44 |-Branch two: % 24.90/6.44 | (329) ~ (all_0_49_49 = e1) % 24.90/6.44 | (3829) all_0_50_50 = e1 | all_0_51_51 = e1 | all_0_52_52 = e1 % 24.90/6.44 | % 24.90/6.44 +-Applying beta-rule and splitting (3829), into two cases. % 24.90/6.44 |-Branch one: % 24.90/6.44 | (771) all_0_50_50 = e1 % 24.90/6.44 | % 24.90/6.44 | Combining equations (838,771) yields a new equation: % 24.90/6.44 | (887) e2 = e1 % 24.90/6.44 | % 24.90/6.44 | Simplifying 887 yields: % 24.90/6.44 | (544) e2 = e1 % 24.90/6.44 | % 24.90/6.44 | Equations (544) can reduce 134 to: % 24.90/6.44 | (298) $false % 24.90/6.44 | % 24.90/6.44 |-The branch is then unsatisfiable % 24.90/6.44 |-Branch two: % 24.90/6.44 | (330) ~ (all_0_50_50 = e1) % 24.90/6.44 | (3841) all_0_51_51 = e1 | all_0_52_52 = e1 % 24.90/6.44 | % 24.90/6.44 +-Applying beta-rule and splitting (3841), into two cases. % 24.90/6.44 |-Branch one: % 24.90/6.44 | (1704) all_0_51_51 = e1 % 24.90/6.44 | % 24.90/6.44 | Equations (1704) can reduce 171 to: % 24.90/6.44 | (343) ~ (all_0_47_47 = e1) % 24.90/6.44 | % 24.90/6.44 | Equations (1704) can reduce 82 to: % 24.90/6.44 | (329) ~ (all_0_49_49 = e1) % 24.90/6.44 | % 24.90/6.44 | Equations (1704) can reduce 22 to: % 24.90/6.44 | (2229) ~ (all_0_52_52 = e1) % 24.90/6.44 | % 24.90/6.44 | Simplifying 2229 yields: % 24.90/6.44 | (2161) ~ (all_0_52_52 = e1) % 24.90/6.44 | % 24.90/6.44 | Equations (1704) can reduce 73 to: % 24.90/6.44 | (2217) ~ (all_0_59_59 = e1) % 24.90/6.44 | % 24.90/6.44 | Simplifying 2217 yields: % 24.90/6.44 | (2156) ~ (all_0_59_59 = e1) % 24.90/6.44 | % 24.90/6.44 | Equations (1704) can reduce 885 to: % 24.90/6.44 | (263) ~ (e2 = e1) % 24.90/6.44 | % 24.90/6.44 | Simplifying 263 yields: % 24.90/6.44 | (134) ~ (e2 = e1) % 24.90/6.44 | % 24.90/6.44 | From (1704) and (149) follows: % 24.90/6.44 | (825) op(e2, e1) = e1 % 24.90/6.44 | % 24.90/6.44 +-Applying beta-rule and splitting (32), into two cases. % 24.90/6.44 |-Branch one: % 24.90/6.44 | (368) all_0_47_47 = e2 % 24.90/6.44 | % 24.90/6.44 | Equations (368) can reduce 361 to: % 24.90/6.44 | (298) $false % 24.90/6.44 | % 24.90/6.44 |-The branch is then unsatisfiable % 24.90/6.44 |-Branch two: % 24.90/6.44 | (361) ~ (all_0_47_47 = e2) % 24.90/6.44 | (371) all_0_51_51 = e2 | all_0_59_59 = e2 % 24.90/6.44 | % 24.90/6.44 +-Applying beta-rule and splitting (133), into two cases. % 24.90/6.44 |-Branch one: % 24.90/6.44 | (326) all_0_52_52 = e1 % 24.90/6.44 | % 24.90/6.44 | Equations (326) can reduce 2161 to: % 24.90/6.44 | (298) $false % 24.90/6.44 | % 24.90/6.44 |-The branch is then unsatisfiable % 24.90/6.44 |-Branch two: % 24.90/6.44 | (2161) ~ (all_0_52_52 = e1) % 24.90/6.44 | (2880) all_0_52_52 = e4 | all_0_52_52 = e2 | all_0_52_52 = e0 % 24.90/6.44 | % 24.90/6.44 +-Applying beta-rule and splitting (371), into two cases. % 24.90/6.44 |-Branch one: % 24.90/6.44 | (396) all_0_51_51 = e2 % 24.90/6.44 | % 24.90/6.44 | Combining equations (1704,396) yields a new equation: % 24.90/6.44 | (544) e2 = e1 % 24.90/6.44 | % 24.90/6.44 | Equations (544) can reduce 134 to: % 24.90/6.44 | (298) $false % 24.90/6.44 | % 24.90/6.44 |-The branch is then unsatisfiable % 24.90/6.44 |-Branch two: % 24.90/6.44 | (885) ~ (all_0_51_51 = e2) % 24.90/6.44 | (886) all_0_59_59 = e2 % 24.90/6.44 | % 24.90/6.44 | Equations (886) can reduce 2156 to: % 24.90/6.44 | (134) ~ (e2 = e1) % 24.90/6.44 | % 24.90/6.44 | From (886) and (121) follows: % 24.90/6.44 | (3815) op(e2, e1) = all_0_38_38 % 24.90/6.44 | % 24.90/6.44 | From (886) and (166) follows: % 24.90/6.44 | (8507) op(e2, e0) = all_0_37_37 % 24.90/6.44 | % 24.90/6.44 | From (886) and (114) follows: % 24.90/6.44 | (6209) op(e0, e1) = e2 % 24.90/6.44 | % 24.90/6.44 +-Applying beta-rule and splitting (129), into two cases. % 24.90/6.44 |-Branch one: % 24.90/6.44 | (637) all_0_49_49 = e0 % 24.90/6.44 | % 24.90/6.44 | Equations (637) can reduce 205 to: % 24.90/6.44 | (503) ~ (all_0_44_44 = e0) % 24.90/6.44 | % 24.90/6.44 | Equations (637) can reduce 44 to: % 24.90/6.44 | (4559) ~ (all_0_52_52 = e0) % 24.90/6.44 | % 24.90/6.44 | Simplifying 4559 yields: % 24.90/6.44 | (304) ~ (all_0_52_52 = e0) % 24.90/6.44 | % 24.90/6.44 | Equations (637) can reduce 111 to: % 24.90/6.44 | (620) ~ (e3 = e0) % 24.90/6.44 | % 24.90/6.44 | Simplifying 620 yields: % 24.90/6.44 | (84) ~ (e3 = e0) % 24.90/6.44 | % 24.90/6.44 | Equations (637) can reduce 86 to: % 24.90/6.44 | (782) ~ (e2 = e0) % 24.90/6.44 | % 24.90/6.44 | Simplifying 782 yields: % 24.90/6.44 | (139) ~ (e2 = e0) % 24.90/6.44 | % 24.90/6.44 | Equations (637) can reduce 329 to: % 24.90/6.44 | (526) ~ (e1 = e0) % 24.90/6.44 | % 24.90/6.44 | Simplifying 526 yields: % 24.90/6.44 | (231) ~ (e1 = e0) % 24.90/6.44 | % 24.90/6.44 | From (637) and (148) follows: % 24.90/6.44 | (8181) op(e0, e4) = all_0_18_18 % 24.90/6.44 | % 24.90/6.44 | From (637) and (159) follows: % 24.90/6.44 | (8520) op(e0, e2) = all_0_17_17 % 24.90/6.44 | % 24.90/6.44 +-Applying beta-rule and splitting (63), into two cases. % 24.90/6.44 |-Branch one: % 24.90/6.44 | (495) all_0_44_44 = e4 % 24.90/6.44 | % 24.90/6.44 | Equations (495) can reduce 914 to: % 24.90/6.44 | (184) ~ (e4 = e3) % 24.90/6.44 | % 24.90/6.44 | Equations (495) can reduce 273 to: % 24.90/6.44 | (115) ~ (e4 = e1) % 24.90/6.44 | % 24.90/6.44 | Equations (495) can reduce 503 to: % 24.90/6.44 | (47) ~ (e4 = e0) % 24.90/6.44 | % 24.90/6.44 +-Applying beta-rule and splitting (45), into two cases. % 24.90/6.44 |-Branch one: % 24.90/6.44 | (520) all_0_43_43 = e4 % 24.90/6.44 | % 24.90/6.44 | Combining equations (310,520) yields a new equation: % 24.90/6.44 | (535) e4 = e1 % 24.90/6.44 | % 24.90/6.44 | Equations (535) can reduce 115 to: % 24.90/6.44 | (298) $false % 24.90/6.44 | % 24.90/6.44 |-The branch is then unsatisfiable % 24.90/6.44 |-Branch two: % 24.90/6.44 | (601) ~ (all_0_43_43 = e4) % 24.90/6.44 | (602) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_60_60 = e4 % 24.90/6.44 | % 24.90/6.44 +-Applying beta-rule and splitting (602), into two cases. % 24.90/6.44 |-Branch one: % 24.90/6.44 | (687) all_0_48_48 = e4 % 24.90/6.44 | % 24.90/6.44 | Combining equations (491,687) yields a new equation: % 24.90/6.44 | (392) e4 = e3 % 24.90/6.44 | % 24.90/6.44 | Equations (392) can reduce 184 to: % 24.90/6.44 | (298) $false % 24.90/6.44 | % 24.90/6.44 |-The branch is then unsatisfiable % 24.90/6.44 |-Branch two: % 24.90/6.44 | (690) ~ (all_0_48_48 = e4) % 24.90/6.44 | (691) all_0_52_52 = e4 | all_0_60_60 = e4 % 24.90/6.44 | % 24.90/6.44 +-Applying beta-rule and splitting (691), into two cases. % 24.90/6.44 |-Branch one: % 24.90/6.44 | (597) all_0_52_52 = e4 % 24.90/6.44 | % 24.90/6.44 | Equations (597) can reduce 304 to: % 24.90/6.44 | (47) ~ (e4 = e0) % 24.90/6.44 | % 24.90/6.44 | From (597) and (71) follows: % 24.90/6.44 | (4881) op(e4, e0) = all_0_24_24 % 24.90/6.44 | % 24.90/6.44 | From (597) and (217) follows: % 24.90/6.44 | (2643) op(e2, e0) = e4 % 24.90/6.44 | % 24.90/6.44 +-Applying beta-rule and splitting (165), into two cases. % 24.90/6.44 |-Branch one: % 24.90/6.44 | (487) all_0_47_47 = e1 % 24.90/6.44 | % 24.90/6.44 | Equations (487) can reduce 343 to: % 24.90/6.44 | (298) $false % 24.90/6.44 | % 24.90/6.44 |-The branch is then unsatisfiable % 24.90/6.44 |-Branch two: % 24.90/6.44 | (343) ~ (all_0_47_47 = e1) % 24.90/6.44 | (490) all_0_47_47 = e3 | all_0_47_47 = e2 | all_0_47_47 = e0 % 24.90/6.44 | % 24.90/6.44 +-Applying beta-rule and splitting (10), into two cases. % 24.90/6.44 |-Branch one: % 24.90/6.44 | (500) all_0_44_44 = e0 % 24.90/6.44 | % 24.90/6.44 | Combining equations (495,500) yields a new equation: % 24.90/6.44 | (480) e4 = e0 % 24.90/6.44 | % 24.90/6.44 | Simplifying 480 yields: % 24.90/6.44 | (481) e4 = e0 % 24.90/6.44 | % 24.90/6.44 | Equations (481) can reduce 47 to: % 24.90/6.44 | (298) $false % 24.90/6.44 | % 24.90/6.44 |-The branch is then unsatisfiable % 24.90/6.44 |-Branch two: % 24.90/6.44 | (503) ~ (all_0_44_44 = e0) % 24.90/6.44 | (1310) all_0_45_45 = e0 | all_0_47_47 = e0 | all_0_48_48 = e0 % 24.90/6.44 | % 24.90/6.44 +-Applying beta-rule and splitting (101), into two cases. % 24.90/6.44 |-Branch one: % 24.90/6.44 | (466) all_0_42_42 = e0 % 24.90/6.44 | % 24.90/6.44 | Combining equations (469,466) yields a new equation: % 24.90/6.44 | (654) e3 = e0 % 24.90/6.44 | % 24.90/6.44 | Simplifying 654 yields: % 24.90/6.44 | (534) e3 = e0 % 24.90/6.44 | % 24.90/6.44 | Equations (534) can reduce 84 to: % 24.90/6.44 | (298) $false % 24.90/6.44 | % 24.90/6.44 |-The branch is then unsatisfiable % 24.90/6.44 |-Branch two: % 24.90/6.44 | (463) ~ (all_0_42_42 = e0) % 24.90/6.44 | (841) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_59_59 = e0 % 24.90/6.44 | % 24.90/6.44 +-Applying beta-rule and splitting (1310), into two cases. % 24.90/6.44 |-Branch one: % 24.90/6.44 | (295) all_0_45_45 = e0 % 24.90/6.44 | % 24.90/6.44 | Combining equations (284,295) yields a new equation: % 24.90/6.44 | (296) e1 = e0 % 24.90/6.44 | % 24.90/6.44 | Simplifying 296 yields: % 24.90/6.44 | (297) e1 = e0 % 24.90/6.44 | % 24.90/6.44 | Equations (297) can reduce 231 to: % 24.90/6.44 | (298) $false % 24.90/6.44 | % 24.90/6.44 |-The branch is then unsatisfiable % 24.90/6.44 |-Branch two: % 24.90/6.44 | (299) ~ (all_0_45_45 = e0) % 24.90/6.44 | (1315) all_0_47_47 = e0 | all_0_48_48 = e0 % 24.90/6.44 | % 24.90/6.44 | Equations (284) can reduce 299 to: % 24.90/6.44 | (231) ~ (e1 = e0) % 24.90/6.44 | % 24.90/6.44 +-Applying beta-rule and splitting (841), into two cases. % 24.90/6.44 |-Branch one: % 24.90/6.44 | (525) all_0_47_47 = e0 % 24.90/6.44 | % 24.90/6.44 | Equations (525) can reduce 343 to: % 24.90/6.44 | (526) ~ (e1 = e0) % 24.90/6.44 | % 24.90/6.44 | Simplifying 526 yields: % 24.90/6.44 | (231) ~ (e1 = e0) % 24.90/6.44 | % 24.90/6.44 | From (525) and (235) follows: % 24.90/6.44 | (8174) op(e0, e1) = all_0_14_14 % 24.90/6.44 | % 24.90/6.44 | Instantiating formula (206) with e4, e0, all_0_33_33, all_0_24_24 and discharging atoms op(e4, e0) = all_0_24_24, op(e4, e0) = all_0_33_33, yields: % 24.90/6.44 | (8566) all_0_24_24 = all_0_33_33 % 24.90/6.44 | % 24.90/6.44 | Instantiating formula (206) with e4, e0, e1, all_0_24_24 and discharging atoms op(e4, e0) = all_0_24_24, op(e4, e0) = e1, yields: % 24.90/6.44 | (8567) all_0_24_24 = e1 % 24.90/6.44 | % 24.90/6.44 | Instantiating formula (206) with e3, e0, all_0_31_31, all_0_16_16 and discharging atoms op(e3, e0) = all_0_16_16, op(e3, e0) = all_0_31_31, yields: % 24.90/6.44 | (8568) all_0_16_16 = all_0_31_31 % 24.90/6.44 | % 24.90/6.44 | Instantiating formula (206) with e3, e0, e3, all_0_16_16 and discharging atoms op(e3, e0) = all_0_16_16, op(e3, e0) = e3, yields: % 24.90/6.44 | (4669) all_0_16_16 = e3 % 24.90/6.44 | % 24.90/6.44 | Instantiating formula (206) with e2, e1, e1, all_0_38_38 and discharging atoms op(e2, e1) = all_0_38_38, op(e2, e1) = e1, yields: % 24.90/6.44 | (3857) all_0_38_38 = e1 % 24.90/6.44 | % 24.90/6.44 | Instantiating formula (206) with e2, e0, e4, all_0_37_37 and discharging atoms op(e2, e0) = all_0_37_37, op(e2, e0) = e4, yields: % 24.90/6.44 | (8571) all_0_37_37 = e4 % 24.90/6.44 | % 24.90/6.44 | Instantiating formula (206) with e0, e4, e3, all_0_18_18 and discharging atoms op(e0, e4) = all_0_18_18, op(e0, e4) = e3, yields: % 24.90/6.45 | (4482) all_0_18_18 = e3 % 24.90/6.45 | % 24.90/6.45 | Instantiating formula (206) with e0, e2, all_0_17_17, e1 and discharging atoms op(e0, e2) = all_0_17_17, op(e0, e2) = e1, yields: % 24.90/6.45 | (1754) all_0_17_17 = e1 % 24.90/6.45 | % 24.90/6.45 | Instantiating formula (206) with e0, e1, e2, all_0_14_14 and discharging atoms op(e0, e1) = all_0_14_14, op(e0, e1) = e2, yields: % 24.90/6.45 | (8574) all_0_14_14 = e2 % 24.90/6.45 | % 24.90/6.45 | Combining equations (4669,8568) yields a new equation: % 24.90/6.45 | (8575) all_0_31_31 = e3 % 24.90/6.45 | % 24.90/6.45 | Combining equations (8567,8566) yields a new equation: % 24.90/6.45 | (8576) all_0_33_33 = e1 % 24.90/6.45 | % 24.90/6.45 | From (8576) and (1752) follows: % 24.90/6.45 | (7207) op(e4, e0) = e1 % 24.90/6.45 | % 24.90/6.45 | From (8575) and (380) follows: % 24.90/6.45 | (494) op(e3, e0) = e3 % 24.90/6.45 | % 24.90/6.45 | From (3857) and (3815) follows: % 24.90/6.45 | (825) op(e2, e1) = e1 % 24.90/6.45 | % 24.90/6.45 | From (8571) and (8507) follows: % 24.90/6.45 | (2643) op(e2, e0) = e4 % 24.90/6.45 | % 24.90/6.45 | From (4482) and (8181) follows: % 24.90/6.45 | (381) op(e0, e4) = e3 % 24.90/6.45 | % 24.90/6.45 | From (1754) and (8520) follows: % 24.90/6.45 | (7156) op(e0, e2) = e1 % 24.90/6.45 | % 24.90/6.45 | From (8574) and (8174) follows: % 24.90/6.45 | (6209) op(e0, e1) = e2 % 24.90/6.45 | % 24.90/6.45 +-Applying beta-rule and splitting (55), into two cases. % 24.90/6.45 |-Branch one: % 24.90/6.45 | (529) unit = e1 % 24.90/6.45 | % 24.90/6.45 | From (529) and (66) follows: % 24.90/6.45 | (406) op(e2, e1) = e2 % 24.90/6.45 | % 24.90/6.45 | From (529) and (67) follows: % 24.90/6.45 | (2913) op(e0, e1) = e0 % 24.90/6.45 | % 24.90/6.45 | Instantiating formula (206) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 24.90/6.45 | (544) e2 = e1 % 24.90/6.45 | % 24.90/6.45 | Instantiating formula (206) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 24.90/6.45 | (569) e2 = e0 % 24.90/6.45 | % 24.90/6.45 | Combining equations (569,544) yields a new equation: % 24.90/6.45 | (297) e1 = e0 % 24.90/6.45 | % 24.90/6.45 | Equations (297) can reduce 231 to: % 24.90/6.45 | (298) $false % 24.90/6.45 | % 24.90/6.45 |-The branch is then unsatisfiable % 24.90/6.45 |-Branch two: % 24.90/6.45 | (540) ~ (unit = e1) % 24.90/6.45 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 24.90/6.45 | % 24.90/6.45 +-Applying beta-rule and splitting (541), into two cases. % 24.90/6.45 |-Branch one: % 24.90/6.45 | (542) unit = e0 % 24.90/6.45 | % 24.90/6.45 | From (542) and (243) follows: % 24.90/6.45 | (522) op(e4, e0) = e4 % 24.90/6.45 | % 24.90/6.45 | From (542) and (66) follows: % 24.90/6.45 | (2384) op(e2, e0) = e2 % 24.90/6.45 | % 24.90/6.45 | Instantiating formula (206) with e4, e0, e4, e1 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e1, yields: % 24.90/6.45 | (535) e4 = e1 % 24.90/6.45 | % 24.90/6.45 | Instantiating formula (206) with e2, e0, e2, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e2, yields: % 24.90/6.45 | (409) e4 = e2 % 24.90/6.45 | % 24.90/6.45 | Combining equations (535,409) yields a new equation: % 24.90/6.45 | (544) e2 = e1 % 24.90/6.45 | % 24.90/6.45 | Equations (544) can reduce 134 to: % 24.90/6.45 | (298) $false % 24.90/6.45 | % 24.90/6.45 |-The branch is then unsatisfiable % 24.90/6.45 |-Branch two: % 24.90/6.45 | (546) ~ (unit = e0) % 24.90/6.45 | (547) unit = e4 | unit = e3 | unit = e2 % 24.90/6.45 | % 24.90/6.45 +-Applying beta-rule and splitting (547), into two cases. % 24.90/6.45 |-Branch one: % 24.90/6.45 | (548) unit = e3 % 24.90/6.45 | % 24.90/6.45 | From (548) and (60) follows: % 24.90/6.45 | (549) op(e3, e0) = e0 % 24.90/6.45 | % 24.90/6.45 | From (548) and (221) follows: % 24.90/6.45 | (550) op(e1, e3) = e1 % 24.90/6.45 | % 24.90/6.45 | Instantiating formula (206) with e3, e0, e0, e3 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e0, yields: % 24.90/6.45 | (534) e3 = e0 % 24.90/6.45 | % 24.90/6.45 | Instantiating formula (206) with e1, e3, e1, e3 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e1, yields: % 24.90/6.45 | (420) e3 = e1 % 24.90/6.45 | % 24.90/6.45 | Combining equations (420,534) yields a new equation: % 24.90/6.45 | (296) e1 = e0 % 24.90/6.45 | % 24.90/6.45 | Simplifying 296 yields: % 24.90/6.45 | (297) e1 = e0 % 24.90/6.45 | % 24.90/6.45 | Equations (297) can reduce 231 to: % 24.90/6.45 | (298) $false % 24.90/6.45 | % 24.90/6.45 |-The branch is then unsatisfiable % 24.90/6.45 |-Branch two: % 24.90/6.45 | (555) ~ (unit = e3) % 24.90/6.45 | (556) unit = e4 | unit = e2 % 24.90/6.45 | % 24.90/6.45 +-Applying beta-rule and splitting (556), into two cases. % 24.90/6.45 |-Branch one: % 24.90/6.45 | (557) unit = e4 % 24.90/6.45 | % 24.90/6.45 | From (557) and (100) follows: % 24.90/6.45 | (2443) op(e4, e1) = e1 % 24.90/6.45 | % 24.90/6.45 | From (557) and (67) follows: % 24.90/6.45 | (812) op(e0, e4) = e0 % 24.90/6.45 | % 24.90/6.45 | Instantiating formula (206) with e4, e1, e1, e3 and discharging atoms op(e4, e1) = e3, op(e4, e1) = e1, yields: % 24.90/6.45 | (420) e3 = e1 % 24.90/6.45 | % 24.90/6.45 | Instantiating formula (206) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 24.90/6.45 | (534) e3 = e0 % 24.90/6.45 | % 24.90/6.45 | Combining equations (420,534) yields a new equation: % 24.90/6.45 | (296) e1 = e0 % 24.90/6.45 | % 24.90/6.45 | Simplifying 296 yields: % 24.90/6.45 | (297) e1 = e0 % 24.90/6.45 | % 24.90/6.45 | Equations (297) can reduce 231 to: % 24.90/6.45 | (298) $false % 24.90/6.45 | % 24.90/6.45 |-The branch is then unsatisfiable % 24.90/6.45 |-Branch two: % 24.90/6.45 | (573) ~ (unit = e4) % 24.90/6.45 | (574) unit = e2 % 24.90/6.45 | % 24.90/6.45 | From (574) and (67) follows: % 24.90/6.45 | (578) op(e0, e2) = e0 % 24.90/6.45 | % 24.90/6.45 | Instantiating formula (206) with e0, e2, e0, e1 and discharging atoms op(e0, e2) = e1, op(e0, e2) = e0, yields: % 24.90/6.45 | (297) e1 = e0 % 24.90/6.45 | % 24.90/6.45 | Equations (297) can reduce 231 to: % 24.90/6.45 | (298) $false % 24.90/6.45 | % 24.90/6.45 |-The branch is then unsatisfiable % 24.90/6.45 |-Branch two: % 24.90/6.45 | (589) ~ (all_0_47_47 = e0) % 24.90/6.45 | (2624) all_0_51_51 = e0 | all_0_59_59 = e0 % 24.90/6.45 | % 24.90/6.45 +-Applying beta-rule and splitting (2624), into two cases. % 24.90/6.45 |-Branch one: % 24.90/6.45 | (1730) all_0_51_51 = e0 % 24.90/6.45 | % 24.90/6.45 | Combining equations (1704,1730) yields a new equation: % 24.90/6.45 | (296) e1 = e0 % 24.90/6.45 | % 24.90/6.45 | Simplifying 296 yields: % 24.90/6.45 | (297) e1 = e0 % 24.90/6.45 | % 24.90/6.45 | Equations (297) can reduce 231 to: % 24.90/6.45 | (298) $false % 24.90/6.45 | % 24.90/6.45 |-The branch is then unsatisfiable % 24.90/6.45 |-Branch two: % 24.90/6.45 | (1871) ~ (all_0_51_51 = e0) % 24.90/6.45 | (2627) all_0_59_59 = e0 % 24.90/6.45 | % 24.90/6.45 | Combining equations (886,2627) yields a new equation: % 24.90/6.45 | (568) e2 = e0 % 24.90/6.45 | % 24.90/6.45 | Simplifying 568 yields: % 24.90/6.45 | (569) e2 = e0 % 24.90/6.45 | % 24.90/6.45 | Equations (569) can reduce 139 to: % 24.90/6.45 | (298) $false % 24.90/6.45 | % 24.90/6.45 |-The branch is then unsatisfiable % 24.90/6.45 |-Branch two: % 24.90/6.45 | (695) ~ (all_0_52_52 = e4) % 24.90/6.45 | (696) all_0_60_60 = e4 % 24.90/6.45 | % 24.90/6.45 | Combining equations (696,300) yields a new equation: % 24.90/6.45 | (480) e4 = e0 % 24.90/6.45 | % 24.90/6.45 | Simplifying 480 yields: % 24.90/6.45 | (481) e4 = e0 % 24.90/6.45 | % 24.90/6.45 | Equations (481) can reduce 47 to: % 24.90/6.45 | (298) $false % 24.90/6.45 | % 24.90/6.45 |-The branch is then unsatisfiable % 24.90/6.45 |-Branch two: % 24.90/6.45 | (610) ~ (all_0_44_44 = e4) % 24.90/6.45 | (615) all_0_49_49 = e4 | all_0_56_56 = e4 % 24.90/6.45 | % 24.90/6.45 +-Applying beta-rule and splitting (101), into two cases. % 24.90/6.45 |-Branch one: % 24.90/6.46 | (466) all_0_42_42 = e0 % 24.90/6.46 | % 24.90/6.46 | Combining equations (469,466) yields a new equation: % 24.90/6.46 | (654) e3 = e0 % 24.90/6.46 | % 24.90/6.46 | Simplifying 654 yields: % 24.90/6.46 | (534) e3 = e0 % 24.90/6.46 | % 24.90/6.46 | Equations (534) can reduce 84 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (463) ~ (all_0_42_42 = e0) % 24.90/6.46 | (841) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_59_59 = e0 % 24.90/6.46 | % 24.90/6.46 +-Applying beta-rule and splitting (841), into two cases. % 24.90/6.46 |-Branch one: % 24.90/6.46 | (525) all_0_47_47 = e0 % 24.90/6.46 | % 24.90/6.46 | Equations (525) can reduce 98 to: % 24.90/6.46 | (503) ~ (all_0_44_44 = e0) % 24.90/6.46 | % 24.90/6.46 +-Applying beta-rule and splitting (170), into two cases. % 24.90/6.46 |-Branch one: % 24.90/6.46 | (1299) all_0_44_44 = e1 % 24.90/6.46 | % 24.90/6.46 | Equations (1299) can reduce 273 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (273) ~ (all_0_44_44 = e1) % 24.90/6.46 | (1302) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e0 % 24.90/6.46 | % 24.90/6.46 +-Applying beta-rule and splitting (1302), into two cases. % 24.90/6.46 |-Branch one: % 24.90/6.46 | (500) all_0_44_44 = e0 % 24.90/6.46 | % 24.90/6.46 | Equations (500) can reduce 503 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (503) ~ (all_0_44_44 = e0) % 24.90/6.46 | (1306) all_0_44_44 = e4 | all_0_44_44 = e3 % 24.90/6.46 | % 24.90/6.46 +-Applying beta-rule and splitting (1306), into two cases. % 24.90/6.46 |-Branch one: % 24.90/6.46 | (892) all_0_44_44 = e3 % 24.90/6.46 | % 24.90/6.46 | Equations (892) can reduce 914 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (914) ~ (all_0_44_44 = e3) % 24.90/6.46 | (495) all_0_44_44 = e4 % 24.90/6.46 | % 24.90/6.46 | Equations (495) can reduce 610 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (589) ~ (all_0_47_47 = e0) % 24.90/6.46 | (2624) all_0_51_51 = e0 | all_0_59_59 = e0 % 24.90/6.46 | % 24.90/6.46 +-Applying beta-rule and splitting (2624), into two cases. % 24.90/6.46 |-Branch one: % 24.90/6.46 | (1730) all_0_51_51 = e0 % 24.90/6.46 | % 24.90/6.46 | Combining equations (1704,1730) yields a new equation: % 24.90/6.46 | (296) e1 = e0 % 24.90/6.46 | % 24.90/6.46 | Simplifying 296 yields: % 24.90/6.46 | (297) e1 = e0 % 24.90/6.46 | % 24.90/6.46 | Equations (297) can reduce 231 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (1871) ~ (all_0_51_51 = e0) % 24.90/6.46 | (2627) all_0_59_59 = e0 % 24.90/6.46 | % 24.90/6.46 | Combining equations (2627,886) yields a new equation: % 24.90/6.46 | (569) e2 = e0 % 24.90/6.46 | % 24.90/6.46 | Equations (569) can reduce 139 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (652) ~ (all_0_49_49 = e0) % 24.90/6.46 | (682) all_0_50_50 = e0 | all_0_51_51 = e0 | all_0_52_52 = e0 % 24.90/6.46 | % 24.90/6.46 +-Applying beta-rule and splitting (2880), into two cases. % 24.90/6.46 |-Branch one: % 24.90/6.46 | (2078) all_0_52_52 = e0 % 24.90/6.46 | % 24.90/6.46 | Equations (2078) can reduce 304 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (304) ~ (all_0_52_52 = e0) % 24.90/6.46 | (2984) all_0_52_52 = e4 | all_0_52_52 = e2 % 24.90/6.46 | % 24.90/6.46 +-Applying beta-rule and splitting (2984), into two cases. % 24.90/6.46 |-Branch one: % 24.90/6.46 | (597) all_0_52_52 = e4 % 24.90/6.46 | % 24.90/6.46 | Equations (597) can reduce 95 to: % 24.90/6.46 | (184) ~ (e4 = e3) % 24.90/6.46 | % 24.90/6.46 | Equations (597) can reduce 941 to: % 24.90/6.46 | (46) ~ (e4 = e2) % 24.90/6.46 | % 24.90/6.46 | Equations (597) can reduce 2161 to: % 24.90/6.46 | (115) ~ (e4 = e1) % 24.90/6.46 | % 24.90/6.46 +-Applying beta-rule and splitting (63), into two cases. % 24.90/6.46 |-Branch one: % 24.90/6.46 | (495) all_0_44_44 = e4 % 24.90/6.46 | % 24.90/6.46 | Equations (495) can reduce 205 to: % 24.90/6.46 | (496) ~ (all_0_49_49 = e4) % 24.90/6.46 | % 24.90/6.46 | Simplifying 496 yields: % 24.90/6.46 | (497) ~ (all_0_49_49 = e4) % 24.90/6.46 | % 24.90/6.46 +-Applying beta-rule and splitting (460), into two cases. % 24.90/6.46 |-Branch one: % 24.90/6.46 | (637) all_0_49_49 = e0 % 24.90/6.46 | % 24.90/6.46 | Equations (637) can reduce 652 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (652) ~ (all_0_49_49 = e0) % 24.90/6.46 | (506) all_0_49_49 = e4 % 24.90/6.46 | % 24.90/6.46 | Equations (506) can reduce 497 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (610) ~ (all_0_44_44 = e4) % 24.90/6.46 | (615) all_0_49_49 = e4 | all_0_56_56 = e4 % 24.90/6.46 | % 24.90/6.46 +-Applying beta-rule and splitting (89), into two cases. % 24.90/6.46 |-Branch one: % 24.90/6.46 | (495) all_0_44_44 = e4 % 24.90/6.46 | % 24.90/6.46 | Equations (495) can reduce 610 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (610) ~ (all_0_44_44 = e4) % 24.90/6.46 | (611) all_0_45_45 = e4 | all_0_46_46 = e4 | all_0_48_48 = e4 % 24.90/6.46 | % 24.90/6.46 +-Applying beta-rule and splitting (611), into two cases. % 24.90/6.46 |-Branch one: % 24.90/6.46 | (1221) all_0_45_45 = e4 % 24.90/6.46 | % 24.90/6.46 | Combining equations (284,1221) yields a new equation: % 24.90/6.46 | (535) e4 = e1 % 24.90/6.46 | % 24.90/6.46 | Equations (535) can reduce 115 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (1224) ~ (all_0_45_45 = e4) % 24.90/6.46 | (2314) all_0_46_46 = e4 | all_0_48_48 = e4 % 24.90/6.46 | % 24.90/6.46 +-Applying beta-rule and splitting (2314), into two cases. % 24.90/6.46 |-Branch one: % 24.90/6.46 | (933) all_0_46_46 = e4 % 24.90/6.46 | % 24.90/6.46 | Combining equations (358,933) yields a new equation: % 24.90/6.46 | (409) e4 = e2 % 24.90/6.46 | % 24.90/6.46 | Equations (409) can reduce 46 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (936) ~ (all_0_46_46 = e4) % 24.90/6.46 | (687) all_0_48_48 = e4 % 24.90/6.46 | % 24.90/6.46 | Combining equations (491,687) yields a new equation: % 24.90/6.46 | (392) e4 = e3 % 24.90/6.46 | % 24.90/6.46 | Equations (392) can reduce 184 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (695) ~ (all_0_52_52 = e4) % 24.90/6.46 | (938) all_0_52_52 = e2 % 24.90/6.46 | % 24.90/6.46 | Equations (938) can reduce 941 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (344) ~ (all_0_51_51 = e1) % 24.90/6.46 | (326) all_0_52_52 = e1 % 24.90/6.46 | % 24.90/6.46 | Equations (326) can reduce 2161 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (258) ~ (all_0_43_43 = e1) % 24.90/6.46 | (519) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e0 % 24.90/6.46 | % 24.90/6.46 +-Applying beta-rule and splitting (45), into two cases. % 24.90/6.46 |-Branch one: % 24.90/6.46 | (520) all_0_43_43 = e4 % 24.90/6.46 | % 24.90/6.46 | Equations (520) can reduce 601 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (601) ~ (all_0_43_43 = e4) % 24.90/6.46 | (602) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_60_60 = e4 % 24.90/6.46 | % 24.90/6.46 +-Applying beta-rule and splitting (519), into two cases. % 24.90/6.46 |-Branch one: % 24.90/6.46 | (1253) all_0_43_43 = e0 % 24.90/6.46 | % 24.90/6.46 | Equations (1253) can reduce 301 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (301) ~ (all_0_43_43 = e0) % 24.90/6.46 | (1972) all_0_43_43 = e4 | all_0_43_43 = e3 % 24.90/6.46 | % 24.90/6.46 +-Applying beta-rule and splitting (1972), into two cases. % 24.90/6.46 |-Branch one: % 24.90/6.46 | (475) all_0_43_43 = e3 % 24.90/6.46 | % 24.90/6.46 | Equations (475) can reduce 471 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (471) ~ (all_0_43_43 = e3) % 24.90/6.46 | (520) all_0_43_43 = e4 % 24.90/6.46 | % 24.90/6.46 | Equations (520) can reduce 601 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (711) ~ (all_0_48_48 = e3) % 24.90/6.46 | (712) all_0_55_55 = e3 | all_0_60_60 = e3 % 24.90/6.46 | % 24.90/6.46 +-Applying beta-rule and splitting (712), into two cases. % 24.90/6.46 |-Branch one: % 24.90/6.46 | (876) all_0_55_55 = e3 % 24.90/6.46 | % 24.90/6.46 | Combining equations (385,876) yields a new equation: % 24.90/6.46 | (567) e3 = e2 % 24.90/6.46 | % 24.90/6.46 | Equations (567) can reduce 213 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (1603) ~ (all_0_55_55 = e3) % 24.90/6.46 | (911) all_0_60_60 = e3 % 24.90/6.46 | % 24.90/6.46 | Combining equations (300,911) yields a new equation: % 24.90/6.46 | (534) e3 = e0 % 24.90/6.46 | % 24.90/6.46 | Equations (534) can reduce 84 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (411) ~ (all_0_57_57 = e4) % 24.90/6.46 | (412) all_0_58_58 = e4 | all_0_60_60 = e4 % 24.90/6.46 | % 24.90/6.46 +-Applying beta-rule and splitting (15), into two cases. % 24.90/6.46 |-Branch one: % 24.90/6.46 | (747) all_0_40_40 = e1 % 24.90/6.46 | % 24.90/6.46 | Combining equations (461,747) yields a new equation: % 24.90/6.46 | (297) e1 = e0 % 24.90/6.46 | % 24.90/6.46 | Equations (297) can reduce 231 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (254) ~ (all_0_40_40 = e1) % 24.90/6.46 | (8746) all_0_41_41 = e1 | all_0_42_42 = e1 | all_0_43_43 = e1 % 24.90/6.46 | % 24.90/6.46 +-Applying beta-rule and splitting (8746), into two cases. % 24.90/6.46 |-Branch one: % 24.90/6.46 | (253) all_0_41_41 = e1 % 24.90/6.46 | % 24.90/6.46 | Combining equations (603,253) yields a new equation: % 24.90/6.46 | (598) e4 = e1 % 24.90/6.46 | % 24.90/6.46 | Simplifying 598 yields: % 24.90/6.46 | (535) e4 = e1 % 24.90/6.46 | % 24.90/6.46 | Equations (535) can reduce 115 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (7077) ~ (all_0_41_41 = e1) % 24.90/6.46 | (8752) all_0_42_42 = e1 | all_0_43_43 = e1 % 24.90/6.46 | % 24.90/6.46 +-Applying beta-rule and splitting (8752), into two cases. % 24.90/6.46 |-Branch one: % 24.90/6.46 | (453) all_0_42_42 = e1 % 24.90/6.46 | % 24.90/6.46 | Combining equations (453,469) yields a new equation: % 24.90/6.46 | (420) e3 = e1 % 24.90/6.46 | % 24.90/6.46 | Equations (420) can reduce 214 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (256) ~ (all_0_42_42 = e1) % 24.90/6.46 | (310) all_0_43_43 = e1 % 24.90/6.46 | % 24.90/6.46 | Equations (310) can reduce 194 to: % 24.90/6.46 | (2229) ~ (all_0_52_52 = e1) % 24.90/6.46 | % 24.90/6.46 | Simplifying 2229 yields: % 24.90/6.46 | (2161) ~ (all_0_52_52 = e1) % 24.90/6.46 | % 24.90/6.46 | Equations (310) can reduce 601 to: % 24.90/6.46 | (347) ~ (e4 = e1) % 24.90/6.46 | % 24.90/6.46 | Simplifying 347 yields: % 24.90/6.46 | (115) ~ (e4 = e1) % 24.90/6.46 | % 24.90/6.46 +-Applying beta-rule and splitting (133), into two cases. % 24.90/6.46 |-Branch one: % 24.90/6.46 | (326) all_0_52_52 = e1 % 24.90/6.46 | % 24.90/6.46 | Equations (326) can reduce 2161 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (2161) ~ (all_0_52_52 = e1) % 24.90/6.46 | (2880) all_0_52_52 = e4 | all_0_52_52 = e2 | all_0_52_52 = e0 % 24.90/6.46 | % 24.90/6.46 +-Applying beta-rule and splitting (125), into two cases. % 24.90/6.46 |-Branch one: % 24.90/6.46 | (479) all_0_40_40 = e4 % 24.90/6.46 | % 24.90/6.46 | Combining equations (461,479) yields a new equation: % 24.90/6.46 | (481) e4 = e0 % 24.90/6.46 | % 24.90/6.46 | Equations (481) can reduce 47 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (483) ~ (all_0_40_40 = e4) % 24.90/6.46 | (484) all_0_45_45 = e4 | all_0_50_50 = e4 | all_0_57_57 = e4 % 24.90/6.46 | % 24.90/6.46 +-Applying beta-rule and splitting (484), into two cases. % 24.90/6.46 |-Branch one: % 24.90/6.46 | (1221) all_0_45_45 = e4 % 24.90/6.46 | % 24.90/6.46 | Combining equations (284,1221) yields a new equation: % 24.90/6.46 | (535) e4 = e1 % 24.90/6.46 | % 24.90/6.46 | Equations (535) can reduce 115 to: % 24.90/6.46 | (298) $false % 24.90/6.46 | % 24.90/6.46 |-The branch is then unsatisfiable % 24.90/6.46 |-Branch two: % 24.90/6.46 | (1224) ~ (all_0_45_45 = e4) % 24.90/6.46 | (1225) all_0_50_50 = e4 | all_0_57_57 = e4 % 24.90/6.46 | % 24.90/6.46 +-Applying beta-rule and splitting (1225), into two cases. % 24.90/6.46 |-Branch one: % 24.90/6.46 | (523) all_0_50_50 = e4 % 24.90/6.46 | % 24.90/6.46 | Equations (523) can reduce 234 to: % 24.90/6.46 | (2335) ~ (all_0_52_52 = e4) % 24.90/6.46 | % 24.90/6.47 | Simplifying 2335 yields: % 24.90/6.47 | (695) ~ (all_0_52_52 = e4) % 24.90/6.47 | % 24.90/6.47 +-Applying beta-rule and splitting (103), into two cases. % 24.90/6.47 |-Branch one: % 24.90/6.47 | (838) all_0_50_50 = e2 % 24.90/6.47 | % 24.90/6.47 | Combining equations (838,523) yields a new equation: % 24.90/6.47 | (409) e4 = e2 % 24.90/6.47 | % 24.90/6.47 | Equations (409) can reduce 46 to: % 24.90/6.47 | (298) $false % 24.90/6.47 | % 24.90/6.47 |-The branch is then unsatisfiable % 24.90/6.47 |-Branch two: % 24.90/6.47 | (398) ~ (all_0_50_50 = e2) % 24.90/6.47 | (1906) all_0_51_51 = e2 | all_0_52_52 = e2 % 24.90/6.47 | % 24.90/6.47 +-Applying beta-rule and splitting (1906), into two cases. % 24.90/6.47 |-Branch one: % 24.90/6.47 | (396) all_0_51_51 = e2 % 24.90/6.47 | % 24.90/6.47 | Equations (396) can reduce 22 to: % 24.90/6.47 | (2566) ~ (all_0_52_52 = e2) % 24.90/6.47 | % 24.90/6.47 | Simplifying 2566 yields: % 24.90/6.47 | (941) ~ (all_0_52_52 = e2) % 24.90/6.47 | % 24.90/6.47 +-Applying beta-rule and splitting (2880), into two cases. % 24.90/6.47 |-Branch one: % 24.90/6.47 | (2078) all_0_52_52 = e0 % 24.90/6.47 | % 24.90/6.47 | Equations (2078) can reduce 304 to: % 24.90/6.47 | (298) $false % 24.90/6.47 | % 24.90/6.47 |-The branch is then unsatisfiable % 24.90/6.47 |-Branch two: % 24.90/6.47 | (304) ~ (all_0_52_52 = e0) % 24.90/6.47 | (2984) all_0_52_52 = e4 | all_0_52_52 = e2 % 24.90/6.47 | % 24.90/6.47 +-Applying beta-rule and splitting (2984), into two cases. % 24.90/6.47 |-Branch one: % 24.90/6.47 | (597) all_0_52_52 = e4 % 24.90/6.47 | % 24.90/6.47 | Equations (597) can reduce 695 to: % 24.90/6.47 | (298) $false % 24.90/6.47 | % 24.90/6.47 |-The branch is then unsatisfiable % 24.90/6.47 |-Branch two: % 24.90/6.47 | (695) ~ (all_0_52_52 = e4) % 24.90/6.47 | (938) all_0_52_52 = e2 % 24.90/6.47 | % 24.90/6.47 | Equations (938) can reduce 941 to: % 24.90/6.47 | (298) $false % 24.90/6.47 | % 24.90/6.47 |-The branch is then unsatisfiable % 24.90/6.47 |-Branch two: % 24.90/6.47 | (885) ~ (all_0_51_51 = e2) % 24.90/6.47 | (938) all_0_52_52 = e2 % 24.90/6.47 | % 24.90/6.47 | Equations (938) can reduce 941 to: % 24.90/6.47 | (298) $false % 24.90/6.47 | % 24.90/6.47 |-The branch is then unsatisfiable % 24.90/6.47 |-Branch two: % 24.90/6.47 | (596) ~ (all_0_50_50 = e4) % 24.90/6.47 | (407) all_0_57_57 = e4 % 24.90/6.47 | % 24.90/6.47 | Equations (407) can reduce 411 to: % 24.90/6.47 | (298) $false % 24.90/6.47 | % 24.90/6.47 |-The branch is then unsatisfiable % 24.90/6.47 |-Branch two: % 24.90/6.47 | (890) ~ (all_0_56_56 = e3) % 24.90/6.47 | (891) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 24.90/6.47 | % 24.90/6.47 +-Applying beta-rule and splitting (891), into two cases. % 24.90/6.47 |-Branch one: % 24.90/6.47 | (902) all_0_57_57 = e3 % 24.90/6.47 | % 24.90/6.47 | Equations (902) can reduce 905 to: % 24.90/6.47 | (298) $false % 24.90/6.47 | % 24.90/6.47 |-The branch is then unsatisfiable % 24.90/6.47 |-Branch two: % 24.90/6.47 | (905) ~ (all_0_57_57 = e3) % 24.90/6.47 | (906) all_0_59_59 = e3 | all_0_60_60 = e3 % 24.90/6.47 | % 24.90/6.47 +-Applying beta-rule and splitting (906), into two cases. % 24.90/6.47 |-Branch one: % 24.90/6.47 | (907) all_0_59_59 = e3 % 24.90/6.47 | % 24.90/6.47 | Equations (907) can reduce 910 to: % 24.90/6.47 | (298) $false % 24.90/6.47 | % 24.90/6.47 |-The branch is then unsatisfiable % 24.90/6.47 |-Branch two: % 24.90/6.47 | (910) ~ (all_0_59_59 = e3) % 24.90/6.47 | (911) all_0_60_60 = e3 % 24.90/6.47 | % 24.90/6.47 | Combining equations (300,911) yields a new equation: % 24.90/6.47 | (534) e3 = e0 % 24.90/6.47 | % 24.90/6.47 | Equations (534) can reduce 84 to: % 24.90/6.47 | (298) $false % 24.90/6.47 | % 24.90/6.47 |-The branch is then unsatisfiable % 24.90/6.47 |-Branch two: % 24.90/6.47 | (745) ~ (all_0_40_40 = e0) % 24.90/6.47 | (754) all_0_40_40 = e4 | all_0_40_40 = e3 % 24.90/6.47 | % 24.90/6.47 +-Applying beta-rule and splitting (754), into two cases. % 24.90/6.47 |-Branch one: % 24.90/6.47 | (755) all_0_40_40 = e3 % 24.90/6.47 | % 24.90/6.47 | Equations (755) can reduce 425 to: % 24.90/6.47 | (298) $false % 24.90/6.47 | % 24.90/6.47 |-The branch is then unsatisfiable % 24.90/6.47 |-Branch two: % 24.90/6.47 | (425) ~ (all_0_40_40 = e3) % 24.90/6.47 | (479) all_0_40_40 = e4 % 24.90/6.47 | % 24.90/6.47 | Equations (479) can reduce 483 to: % 24.90/6.47 | (298) $false % 24.90/6.47 | % 24.90/6.47 |-The branch is then unsatisfiable % 24.90/6.47 |-Branch two: % 24.90/6.47 | (875) ~ (all_0_54_54 = e3) % 24.90/6.47 | (876) all_0_55_55 = e3 % 24.90/6.47 | % 24.90/6.47 | Combining equations (876,385) yields a new equation: % 24.90/6.47 | (877) e3 = e2 % 24.90/6.47 | % 24.90/6.47 | Simplifying 877 yields: % 24.90/6.47 | (567) e3 = e2 % 24.90/6.47 | % 24.90/6.47 | Equations (567) can reduce 213 to: % 24.90/6.47 | (298) $false % 24.90/6.47 | % 24.90/6.47 |-The branch is then unsatisfiable % 24.90/6.47 |-Branch two: % 24.90/6.47 | (973) ~ (all_0_46_46 = e2) % 24.90/6.47 | (955) all_0_58_58 = e2 % 24.90/6.47 | % 24.90/6.47 | Combining equations (337,955) yields a new equation: % 24.90/6.47 | (544) e2 = e1 % 24.90/6.47 | % 24.90/6.47 | Equations (544) can reduce 134 to: % 24.90/6.47 | (298) $false % 24.90/6.47 | % 24.90/6.47 |-The branch is then unsatisfiable % 24.90/6.47 |-Branch two: % 24.90/6.47 | (2170) ~ (all_0_45_45 = e1) % 24.90/6.47 | (2157) all_0_60_60 = e1 % 24.90/6.47 | % 24.90/6.47 | Equations (2157) can reduce 77 to: % 24.90/6.47 | (258) ~ (all_0_43_43 = e1) % 24.90/6.47 | % 24.90/6.47 | Equations (2157) can reduce 156 to: % 24.90/6.47 | (2161) ~ (all_0_52_52 = e1) % 24.90/6.47 | % 24.90/6.47 | Equations (2157) can reduce 90 to: % 24.90/6.47 | (277) ~ (all_0_55_55 = e1) % 24.90/6.47 | % 24.90/6.47 | Equations (2157) can reduce 200 to: % 24.90/6.47 | (279) ~ (all_0_56_56 = e1) % 24.90/6.47 | % 24.90/6.47 | Equations (2157) can reduce 62 to: % 24.90/6.47 | (294) ~ (all_0_57_57 = e1) % 24.90/6.47 | % 24.90/6.47 | Equations (2157) can reduce 7 to: % 24.90/6.47 | (262) ~ (all_0_58_58 = e1) % 24.90/6.47 | % 24.90/6.47 | Equations (2157) can reduce 5 to: % 24.90/6.47 | (2156) ~ (all_0_59_59 = e1) % 24.90/6.47 | % 24.90/6.47 | From (2157) and (65) follows: % 24.90/6.47 | (8839) op(e0, e0) = e1 % 24.90/6.47 | % 24.90/6.47 +-Applying beta-rule and splitting (79), into two cases. % 24.90/6.47 |-Branch one: % 24.90/6.47 | (295) all_0_45_45 = e0 % 24.90/6.47 | % 24.90/6.47 | Equations (295) can reduce 219 to: % 24.90/6.47 | (745) ~ (all_0_40_40 = e0) % 24.90/6.47 | % 24.90/6.47 | Equations (295) can reduce 40 to: % 24.90/6.47 | (503) ~ (all_0_44_44 = e0) % 24.90/6.47 | % 24.90/6.47 | Equations (295) can reduce 39 to: % 24.90/6.47 | (5375) ~ (all_0_46_46 = e0) % 24.90/6.47 | % 24.90/6.47 | Simplifying 5375 yields: % 24.90/6.47 | (151) ~ (all_0_46_46 = e0) % 24.90/6.47 | % 24.90/6.47 | Equations (295) can reduce 142 to: % 24.90/6.47 | (769) ~ (all_0_47_47 = e0) % 24.90/6.47 | % 24.90/6.47 | Simplifying 769 yields: % 24.90/6.47 | (589) ~ (all_0_47_47 = e0) % 24.90/6.47 | % 24.90/6.47 | Equations (295) can reduce 102 to: % 24.90/6.47 | (2181) ~ (all_0_48_48 = e0) % 24.90/6.47 | % 24.90/6.47 | Simplifying 2181 yields: % 24.90/6.47 | (303) ~ (all_0_48_48 = e0) % 24.90/6.47 | % 24.90/6.47 | Equations (295) can reduce 17 to: % 24.90/6.47 | (660) ~ (all_0_50_50 = e0) % 24.90/6.47 | % 24.90/6.47 | Simplifying 660 yields: % 24.90/6.47 | (661) ~ (all_0_50_50 = e0) % 24.90/6.47 | % 24.90/6.47 | Equations (295) can reduce 220 to: % 24.90/6.47 | (5381) ~ (all_0_54_54 = e0) % 24.90/6.47 | % 24.90/6.47 | Simplifying 5381 yields: % 24.90/6.47 | (210) ~ (all_0_54_54 = e0) % 24.90/6.47 | % 24.90/6.47 | Equations (295) can reduce 94 to: % 24.90/6.47 | (2185) ~ (all_0_57_57 = e0) % 24.90/6.47 | % 24.90/6.47 | Simplifying 2185 yields: % 24.90/6.47 | (307) ~ (all_0_57_57 = e0) % 24.90/6.47 | % 24.90/6.47 | From (295) and (97) follows: % 24.90/6.47 | (8855) op(e3, e3) = e0 % 24.90/6.47 | % 24.90/6.47 +-Applying beta-rule and splitting (186), into two cases. % 24.90/6.47 |-Branch one: % 24.90/6.47 | (253) all_0_41_41 = e1 % 24.90/6.47 | % 24.90/6.47 | Combining equations (603,253) yields a new equation: % 24.90/6.47 | (598) e4 = e1 % 24.90/6.47 | % 24.90/6.47 | Simplifying 598 yields: % 24.90/6.47 | (535) e4 = e1 % 24.90/6.47 | % 24.90/6.47 | Equations (535) can reduce 115 to: % 24.90/6.47 | (298) $false % 24.90/6.47 | % 24.90/6.47 |-The branch is then unsatisfiable % 24.90/6.47 |-Branch two: % 24.90/6.47 | (7077) ~ (all_0_41_41 = e1) % 24.90/6.47 | (7138) all_0_46_46 = e1 | all_0_58_58 = e1 % 24.90/6.47 | % 24.90/6.47 +-Applying beta-rule and splitting (51), into two cases. % 24.90/6.47 |-Branch one: % 24.90/6.47 | (337) all_0_58_58 = e1 % 24.90/6.47 | % 24.90/6.47 | Equations (337) can reduce 262 to: % 24.90/6.47 | (298) $false % 24.90/6.47 | % 24.90/6.47 |-The branch is then unsatisfiable % 24.90/6.47 |-Branch two: % 24.90/6.47 | (262) ~ (all_0_58_58 = e1) % 24.90/6.47 | (3139) all_0_58_58 = e4 | all_0_58_58 = e2 % 24.90/6.47 | % 24.90/6.47 +-Applying beta-rule and splitting (3139), into two cases. % 24.90/6.47 |-Branch one: % 24.90/6.47 | (413) all_0_58_58 = e4 % 24.90/6.47 | % 24.90/6.47 | Equations (413) can reduce 880 to: % 24.90/6.47 | (298) $false % 24.90/6.47 | % 24.90/6.47 |-The branch is then unsatisfiable % 24.90/6.47 |-Branch two: % 24.90/6.47 | (880) ~ (all_0_58_58 = e4) % 24.90/6.47 | (955) all_0_58_58 = e2 % 24.90/6.47 | % 24.90/6.47 | Equations (955) can reduce 230 to: % 24.90/6.47 | (26) ~ (all_0_56_56 = e2) % 24.90/6.47 | % 24.90/6.47 | Equations (955) can reduce 25 to: % 24.90/6.47 | (2551) ~ (all_0_59_59 = e2) % 24.90/6.47 | % 24.90/6.47 | Simplifying 2551 yields: % 24.90/6.47 | (963) ~ (all_0_59_59 = e2) % 24.90/6.47 | % 24.90/6.47 | Equations (955) can reduce 262 to: % 24.90/6.47 | (134) ~ (e2 = e1) % 24.90/6.47 | % 24.90/6.47 | From (955) and (191) follows: % 24.90/6.47 | (980) op(e2, e2) = all_0_36_36 % 24.90/6.47 | % 24.90/6.47 | From (955) and (145) follows: % 24.90/6.47 | (4370) op(e2, e0) = all_0_35_35 % 24.90/6.47 | % 24.90/6.47 | From (955) and (185) follows: % 24.90/6.47 | (981) op(e0, e2) = e2 % 24.90/6.47 | % 24.90/6.47 +-Applying beta-rule and splitting (192), into two cases. % 24.90/6.47 |-Branch one: % 24.90/6.47 | (982) all_0_46_46 = e1 % 24.90/6.47 | % 24.90/6.47 | Equations (982) can reduce 120 to: % 24.90/6.47 | (273) ~ (all_0_44_44 = e1) % 24.90/6.47 | % 24.90/6.47 | Equations (982) can reduce 179 to: % 24.90/6.47 | (6113) ~ (all_0_47_47 = e1) % 24.90/6.47 | % 25.08/6.47 | Simplifying 6113 yields: % 25.08/6.47 | (343) ~ (all_0_47_47 = e1) % 25.08/6.47 | % 25.08/6.47 | Equations (982) can reduce 174 to: % 25.08/6.47 | (289) ~ (all_0_48_48 = e1) % 25.08/6.47 | % 25.08/6.47 | Simplifying 289 yields: % 25.08/6.47 | (290) ~ (all_0_48_48 = e1) % 25.08/6.47 | % 25.08/6.48 | Equations (982) can reduce 936 to: % 25.08/6.48 | (347) ~ (e4 = e1) % 25.08/6.48 | % 25.08/6.48 | Simplifying 347 yields: % 25.08/6.48 | (115) ~ (e4 = e1) % 25.08/6.48 | % 25.08/6.48 | Equations (982) can reduce 151 to: % 25.08/6.48 | (231) ~ (e1 = e0) % 25.08/6.48 | % 25.08/6.48 | From (982) and (240) follows: % 25.08/6.48 | (8886) op(e1, e3) = all_0_11_11 % 25.08/6.48 | % 25.08/6.48 | From (982) and (144) follows: % 25.08/6.48 | (8887) op(e1, e2) = all_0_12_12 % 25.08/6.48 | % 25.08/6.48 | From (982) and (13) follows: % 25.08/6.48 | (8888) op(e3, e2) = e1 % 25.08/6.48 | % 25.08/6.48 | Instantiating formula (206) with e2, e2, all_0_36_36, e3 and discharging atoms op(e2, e2) = all_0_36_36, op(e2, e2) = e3, yields: % 25.08/6.48 | (1007) all_0_36_36 = e3 % 25.08/6.48 | % 25.08/6.48 | Instantiating formula (206) with e2, e0, all_0_35_35, all_0_52_52 and discharging atoms op(e2, e0) = all_0_35_35, op(e2, e0) = all_0_52_52, yields: % 25.08/6.48 | (4404) all_0_35_35 = all_0_52_52 % 25.08/6.48 | % 25.08/6.48 | Instantiating formula (206) with e1, e3, all_0_11_11, all_0_54_54 and discharging atoms op(e1, e3) = all_0_11_11, op(e1, e3) = all_0_54_54, yields: % 25.08/6.48 | (8891) all_0_11_11 = all_0_54_54 % 25.08/6.48 | % 25.08/6.48 | Instantiating formula (206) with e1, e2, all_0_12_12, e0 and discharging atoms op(e1, e2) = all_0_12_12, op(e1, e2) = e0, yields: % 25.08/6.48 | (8892) all_0_12_12 = e0 % 25.08/6.48 | % 25.08/6.48 | From (1007) and (980) follows: % 25.08/6.48 | (72) op(e2, e2) = e3 % 25.08/6.48 | % 25.08/6.48 | From (4404) and (4370) follows: % 25.08/6.48 | (217) op(e2, e0) = all_0_52_52 % 25.08/6.48 | % 25.08/6.48 | From (8891) and (8886) follows: % 25.08/6.48 | (154) op(e1, e3) = all_0_54_54 % 25.08/6.48 | % 25.08/6.48 +-Applying beta-rule and splitting (138), into two cases. % 25.08/6.48 |-Branch one: % 25.08/6.48 | (382) all_0_54_54 = e2 % 25.08/6.48 | % 25.08/6.48 | Equations (382) can reduce 35 to: % 25.08/6.48 | (246) ~ (all_0_40_40 = e2) % 25.08/6.48 | % 25.08/6.48 | Equations (382) can reduce 85 to: % 25.08/6.48 | (1014) ~ (all_0_55_55 = e2) % 25.08/6.48 | % 25.08/6.48 | Simplifying 1014 yields: % 25.08/6.48 | (968) ~ (all_0_55_55 = e2) % 25.08/6.48 | % 25.08/6.48 | Equations (382) can reduce 81 to: % 25.08/6.48 | (2247) ~ (all_0_57_57 = e2) % 25.08/6.48 | % 25.08/6.48 | Simplifying 2247 yields: % 25.08/6.48 | (922) ~ (all_0_57_57 = e2) % 25.08/6.48 | % 25.08/6.48 | Equations (382) can reduce 275 to: % 25.08/6.48 | (134) ~ (e2 = e1) % 25.08/6.48 | % 25.08/6.48 | From (382) and (36) follows: % 25.08/6.48 | (1018) op(e2, e3) = all_0_28_28 % 25.08/6.48 | % 25.08/6.48 | From (382) and (38) follows: % 25.08/6.48 | (1019) op(e2, e1) = all_0_27_27 % 25.08/6.48 | % 25.08/6.48 | From (382) and (154) follows: % 25.08/6.48 | (1020) op(e1, e3) = e2 % 25.08/6.48 | % 25.08/6.48 +-Applying beta-rule and splitting (28), into two cases. % 25.08/6.48 |-Branch one: % 25.08/6.48 | (1029) all_0_55_55 = e1 % 25.08/6.48 | % 25.08/6.48 | Equations (1029) can reduce 277 to: % 25.08/6.48 | (298) $false % 25.08/6.48 | % 25.08/6.48 |-The branch is then unsatisfiable % 25.08/6.48 |-Branch two: % 25.08/6.48 | (277) ~ (all_0_55_55 = e1) % 25.08/6.48 | (1032) all_0_55_55 = e3 | all_0_55_55 = e2 % 25.08/6.48 | % 25.08/6.48 +-Applying beta-rule and splitting (1032), into two cases. % 25.08/6.48 |-Branch one: % 25.08/6.48 | (876) all_0_55_55 = e3 % 25.08/6.48 | % 25.08/6.48 | Equations (876) can reduce 112 to: % 25.08/6.48 | (471) ~ (all_0_43_43 = e3) % 25.08/6.48 | % 25.08/6.48 | Equations (876) can reduce 176 to: % 25.08/6.48 | (711) ~ (all_0_48_48 = e3) % 25.08/6.48 | % 25.08/6.48 | Equations (876) can reduce 228 to: % 25.08/6.48 | (472) ~ (e4 = e3) % 25.08/6.48 | % 25.08/6.48 | Simplifying 472 yields: % 25.08/6.48 | (184) ~ (e4 = e3) % 25.08/6.48 | % 25.08/6.48 | Equations (876) can reduce 968 to: % 25.08/6.48 | (213) ~ (e3 = e2) % 25.08/6.48 | % 25.08/6.48 | From (876) and (146) follows: % 25.08/6.48 | (1047) op(e3, e0) = all_0_30_30 % 25.08/6.48 | % 25.08/6.48 | From (876) and (218) follows: % 25.08/6.48 | (1048) op(e1, e0) = e3 % 25.08/6.48 | % 25.08/6.48 +-Applying beta-rule and splitting (167), into two cases. % 25.08/6.48 |-Branch one: % 25.08/6.48 | (310) all_0_43_43 = e1 % 25.08/6.48 | % 25.08/6.48 | Equations (310) can reduce 258 to: % 25.08/6.48 | (298) $false % 25.08/6.48 | % 25.08/6.48 |-The branch is then unsatisfiable % 25.08/6.48 |-Branch two: % 25.08/6.48 | (258) ~ (all_0_43_43 = e1) % 25.08/6.48 | (519) all_0_43_43 = e4 | all_0_43_43 = e3 | all_0_43_43 = e0 % 25.08/6.48 | % 25.08/6.48 +-Applying beta-rule and splitting (519), into two cases. % 25.08/6.48 |-Branch one: % 25.08/6.48 | (1253) all_0_43_43 = e0 % 25.08/6.48 | % 25.08/6.48 | Equations (1253) can reduce 238 to: % 25.08/6.48 | (745) ~ (all_0_40_40 = e0) % 25.08/6.48 | % 25.08/6.48 | Equations (1253) can reduce 20 to: % 25.08/6.48 | (463) ~ (all_0_42_42 = e0) % 25.08/6.48 | % 25.08/6.48 | Equations (1253) can reduce 16 to: % 25.08/6.48 | (2181) ~ (all_0_48_48 = e0) % 25.08/6.48 | % 25.08/6.48 | Simplifying 2181 yields: % 25.08/6.48 | (303) ~ (all_0_48_48 = e0) % 25.08/6.48 | % 25.08/6.48 | Equations (1253) can reduce 194 to: % 25.08/6.48 | (4559) ~ (all_0_52_52 = e0) % 25.08/6.48 | % 25.08/6.48 | Simplifying 4559 yields: % 25.08/6.48 | (304) ~ (all_0_52_52 = e0) % 25.08/6.48 | % 25.08/6.48 | Equations (1253) can reduce 601 to: % 25.08/6.48 | (485) ~ (e4 = e0) % 25.08/6.48 | % 25.08/6.48 | Simplifying 485 yields: % 25.08/6.48 | (47) ~ (e4 = e0) % 25.08/6.48 | % 25.08/6.48 | Equations (1253) can reduce 471 to: % 25.08/6.48 | (620) ~ (e3 = e0) % 25.08/6.48 | % 25.08/6.48 | Simplifying 620 yields: % 25.08/6.48 | (84) ~ (e3 = e0) % 25.08/6.48 | % 25.08/6.48 | Equations (1253) can reduce 258 to: % 25.08/6.48 | (526) ~ (e1 = e0) % 25.08/6.48 | % 25.08/6.48 | Simplifying 526 yields: % 25.08/6.48 | (231) ~ (e1 = e0) % 25.08/6.48 | % 25.08/6.48 | From (1253) and (181) follows: % 25.08/6.48 | (8935) op(e0, e4) = all_0_6_6 % 25.08/6.48 | % 25.08/6.48 | From (1253) and (11) follows: % 25.08/6.48 | (8936) op(e0, e0) = all_0_7_7 % 25.08/6.48 | % 25.08/6.48 | From (1253) and (34) follows: % 25.08/6.48 | (559) op(e4, e0) = e0 % 25.08/6.48 | % 25.08/6.48 | Instantiating formula (206) with e3, e0, all_0_30_30, all_0_48_48 and discharging atoms op(e3, e0) = all_0_30_30, op(e3, e0) = all_0_48_48, yields: % 25.08/6.48 | (2279) all_0_30_30 = all_0_48_48 % 25.08/6.48 | % 25.08/6.48 | Instantiating formula (206) with e2, e3, all_0_28_28, all_0_50_50 and discharging atoms op(e2, e3) = all_0_28_28, op(e2, e3) = all_0_50_50, yields: % 25.08/6.48 | (1056) all_0_28_28 = all_0_50_50 % 25.08/6.48 | % 25.08/6.48 | Instantiating formula (206) with e2, e1, all_0_27_27, all_0_51_51 and discharging atoms op(e2, e1) = all_0_27_27, op(e2, e1) = all_0_51_51, yields: % 25.08/6.48 | (3768) all_0_27_27 = all_0_51_51 % 25.08/6.48 | % 25.08/6.48 | Instantiating formula (206) with e0, e4, all_0_6_6, all_0_56_56 and discharging atoms op(e0, e4) = all_0_6_6, op(e0, e4) = all_0_56_56, yields: % 25.08/6.48 | (8941) all_0_6_6 = all_0_56_56 % 25.08/6.48 | % 25.08/6.48 | Instantiating formula (206) with e0, e0, all_0_7_7, e1 and discharging atoms op(e0, e0) = all_0_7_7, op(e0, e0) = e1, yields: % 25.08/6.48 | (8942) all_0_7_7 = e1 % 25.08/6.48 | % 25.08/6.48 | From (2279) and (1047) follows: % 25.08/6.48 | (202) op(e3, e0) = all_0_48_48 % 25.08/6.48 | % 25.08/6.48 | From (1056) and (1018) follows: % 25.08/6.48 | (207) op(e2, e3) = all_0_50_50 % 25.08/6.48 | % 25.08/6.48 | From (3768) and (1019) follows: % 25.08/6.48 | (149) op(e2, e1) = all_0_51_51 % 25.08/6.48 | % 25.08/6.48 | From (8941) and (8935) follows: % 25.08/6.48 | (48) op(e0, e4) = all_0_56_56 % 25.08/6.48 | % 25.08/6.48 +-Applying beta-rule and splitting (105), into two cases. % 25.08/6.48 |-Branch one: % 25.08/6.48 | (457) all_0_49_49 = e1 % 25.08/6.48 | % 25.08/6.48 | Equations (457) can reduce 329 to: % 25.08/6.48 | (298) $false % 25.08/6.48 | % 25.08/6.48 |-The branch is then unsatisfiable % 25.08/6.48 |-Branch two: % 25.08/6.48 | (329) ~ (all_0_49_49 = e1) % 25.08/6.49 | (460) all_0_49_49 = e4 | all_0_49_49 = e0 % 25.08/6.49 | % 25.08/6.49 +-Applying beta-rule and splitting (92), into two cases. % 25.08/6.49 |-Branch one: % 25.08/6.49 | (453) all_0_42_42 = e1 % 25.08/6.49 | % 25.08/6.49 | Equations (453) can reduce 204 to: % 25.08/6.49 | (254) ~ (all_0_40_40 = e1) % 25.08/6.49 | % 25.08/6.49 | Equations (453) can reduce 242 to: % 25.08/6.49 | (6113) ~ (all_0_47_47 = e1) % 25.08/6.49 | % 25.08/6.49 | Simplifying 6113 yields: % 25.08/6.49 | (343) ~ (all_0_47_47 = e1) % 25.08/6.49 | % 25.08/6.49 | Equations (453) can reduce 118 to: % 25.08/6.49 | (2217) ~ (all_0_59_59 = e1) % 25.08/6.49 | % 25.08/6.49 | Simplifying 2217 yields: % 25.08/6.49 | (2156) ~ (all_0_59_59 = e1) % 25.08/6.49 | % 25.08/6.49 | Equations (453) can reduce 131 to: % 25.08/6.49 | (263) ~ (e2 = e1) % 25.08/6.49 | % 25.08/6.49 | Simplifying 263 yields: % 25.08/6.49 | (134) ~ (e2 = e1) % 25.08/6.49 | % 25.08/6.49 | Equations (453) can reduce 463 to: % 25.08/6.49 | (231) ~ (e1 = e0) % 25.08/6.49 | % 25.08/6.49 +-Applying beta-rule and splitting (113), into two cases. % 25.08/6.49 |-Branch one: % 25.08/6.49 | (747) all_0_40_40 = e1 % 25.08/6.49 | % 25.08/6.49 | Equations (747) can reduce 254 to: % 25.08/6.49 | (298) $false % 25.08/6.49 | % 25.08/6.49 |-The branch is then unsatisfiable % 25.08/6.49 |-Branch two: % 25.08/6.49 | (254) ~ (all_0_40_40 = e1) % 25.08/6.49 | (2196) all_0_45_45 = e1 | all_0_50_50 = e1 | all_0_54_54 = e1 | all_0_57_57 = e1 % 25.08/6.49 | % 25.08/6.49 +-Applying beta-rule and splitting (2196), into two cases. % 25.08/6.49 |-Branch one: % 25.08/6.49 | (284) all_0_45_45 = e1 % 25.08/6.49 | % 25.08/6.49 | Combining equations (295,284) yields a new equation: % 25.08/6.49 | (297) e1 = e0 % 25.08/6.49 | % 25.08/6.49 | Equations (297) can reduce 231 to: % 25.08/6.49 | (298) $false % 25.08/6.49 | % 25.08/6.49 |-The branch is then unsatisfiable % 25.08/6.49 |-Branch two: % 25.08/6.49 | (2170) ~ (all_0_45_45 = e1) % 25.08/6.49 | (2212) all_0_50_50 = e1 | all_0_54_54 = e1 | all_0_57_57 = e1 % 25.08/6.49 | % 25.08/6.49 +-Applying beta-rule and splitting (109), into two cases. % 25.08/6.49 |-Branch one: % 25.08/6.49 | (747) all_0_40_40 = e1 % 25.08/6.49 | % 25.08/6.49 | Equations (747) can reduce 254 to: % 25.08/6.49 | (298) $false % 25.08/6.49 | % 25.08/6.49 |-The branch is then unsatisfiable % 25.08/6.49 |-Branch two: % 25.08/6.49 | (254) ~ (all_0_40_40 = e1) % 25.08/6.49 | (750) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e0 % 25.08/6.49 | % 25.08/6.49 +-Applying beta-rule and splitting (750), into two cases. % 25.08/6.49 |-Branch one: % 25.08/6.49 | (461) all_0_40_40 = e0 % 25.08/6.49 | % 25.08/6.49 | Equations (461) can reduce 745 to: % 25.08/6.49 | (298) $false % 25.08/6.49 | % 25.08/6.49 |-The branch is then unsatisfiable % 25.08/6.49 |-Branch two: % 25.08/6.49 | (745) ~ (all_0_40_40 = e0) % 25.08/6.49 | (754) all_0_40_40 = e4 | all_0_40_40 = e3 % 25.08/6.49 | % 25.08/6.49 +-Applying beta-rule and splitting (754), into two cases. % 25.08/6.49 |-Branch one: % 25.08/6.49 | (755) all_0_40_40 = e3 % 25.08/6.49 | % 25.08/6.49 | Equations (755) can reduce 64 to: % 25.08/6.49 | (2823) ~ (all_0_57_57 = e3) % 25.08/6.49 | % 25.08/6.49 | Simplifying 2823 yields: % 25.08/6.49 | (905) ~ (all_0_57_57 = e3) % 25.08/6.49 | % 25.08/6.49 | From (755) and (127) follows: % 25.08/6.49 | (8980) op(e3, e4) = all_0_0_0 % 25.08/6.49 | % 25.08/6.49 | From (755) and (43) follows: % 25.08/6.49 | (8981) op(e3, e3) = all_0_1_1 % 25.08/6.49 | % 25.08/6.49 | From (755) and (233) follows: % 25.08/6.49 | (809) op(e4, e3) = e3 % 25.08/6.49 | % 25.08/6.49 +-Applying beta-rule and splitting (239), into two cases. % 25.08/6.49 |-Branch one: % 25.08/6.49 | (322) all_0_57_57 = e1 % 25.08/6.49 | % 25.08/6.49 | Equations (322) can reduce 294 to: % 25.08/6.49 | (298) $false % 25.08/6.49 | % 25.08/6.49 |-The branch is then unsatisfiable % 25.08/6.49 |-Branch two: % 25.08/6.49 | (294) ~ (all_0_57_57 = e1) % 25.08/6.49 | (2344) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e2 | all_0_57_57 = e0 % 25.08/6.49 | % 25.08/6.49 +-Applying beta-rule and splitting (2212), into two cases. % 25.08/6.49 |-Branch one: % 25.08/6.49 | (771) all_0_50_50 = e1 % 25.08/6.49 | % 25.08/6.49 | Equations (771) can reduce 189 to: % 25.08/6.49 | (329) ~ (all_0_49_49 = e1) % 25.08/6.49 | % 25.08/6.49 | Equations (771) can reduce 157 to: % 25.08/6.49 | (2227) ~ (all_0_51_51 = e1) % 25.08/6.49 | % 25.08/6.49 | Simplifying 2227 yields: % 25.08/6.49 | (344) ~ (all_0_51_51 = e1) % 25.08/6.49 | % 25.08/6.49 | Equations (771) can reduce 234 to: % 25.08/6.49 | (2229) ~ (all_0_52_52 = e1) % 25.08/6.49 | % 25.08/6.49 | Simplifying 2229 yields: % 25.08/6.49 | (2161) ~ (all_0_52_52 = e1) % 25.08/6.49 | % 25.08/6.49 | From (771) and (41) follows: % 25.08/6.49 | (2236) op(e1, e3) = all_0_20_20 % 25.08/6.49 | % 25.08/6.49 | From (771) and (207) follows: % 25.08/6.49 | (2237) op(e2, e3) = e1 % 25.08/6.49 | % 25.08/6.49 +-Applying beta-rule and splitting (2344), into two cases. % 25.08/6.49 |-Branch one: % 25.08/6.49 | (1242) all_0_57_57 = e0 % 25.08/6.49 | % 25.08/6.49 | Equations (1242) can reduce 307 to: % 25.08/6.49 | (298) $false % 25.08/6.49 | % 25.08/6.49 |-The branch is then unsatisfiable % 25.08/6.49 |-Branch two: % 25.08/6.49 | (307) ~ (all_0_57_57 = e0) % 25.08/6.49 | (2348) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e2 % 25.08/6.49 | % 25.08/6.49 +-Applying beta-rule and splitting (2348), into two cases. % 25.08/6.49 |-Branch one: % 25.08/6.49 | (902) all_0_57_57 = e3 % 25.08/6.49 | % 25.08/6.49 | Equations (902) can reduce 905 to: % 25.08/6.49 | (298) $false % 25.08/6.49 | % 25.08/6.49 |-The branch is then unsatisfiable % 25.08/6.49 |-Branch two: % 25.08/6.49 | (905) ~ (all_0_57_57 = e3) % 25.08/6.49 | (2500) all_0_57_57 = e4 | all_0_57_57 = e2 % 25.08/6.49 | % 25.08/6.49 +-Applying beta-rule and splitting (2500), into two cases. % 25.08/6.49 |-Branch one: % 25.08/6.49 | (407) all_0_57_57 = e4 % 25.08/6.49 | % 25.08/6.49 | Equations (407) can reduce 152 to: % 25.08/6.49 | (394) ~ (all_0_56_56 = e4) % 25.08/6.49 | % 25.08/6.49 | Equations (407) can reduce 307 to: % 25.08/6.49 | (47) ~ (e4 = e0) % 25.08/6.49 | % 25.08/6.49 | From (407) and (30) follows: % 25.08/6.49 | (9006) op(e4, e3) = all_0_34_34 % 25.08/6.49 | % 25.08/6.49 | From (407) and (3) follows: % 25.08/6.49 | (1752) op(e4, e0) = all_0_33_33 % 25.08/6.49 | % 25.08/6.49 | Instantiating formula (206) with e4, e3, e3, all_0_34_34 and discharging atoms op(e4, e3) = all_0_34_34, op(e4, e3) = e3, yields: % 25.08/6.49 | (9008) all_0_34_34 = e3 % 25.08/6.49 | % 25.08/6.49 | Instantiating formula (206) with e4, e0, all_0_33_33, e0 and discharging atoms op(e4, e0) = all_0_33_33, op(e4, e0) = e0, yields: % 25.08/6.49 | (9009) all_0_33_33 = e0 % 25.08/6.49 | % 25.08/6.49 | Instantiating formula (206) with e3, e4, all_0_0_0, all_0_44_44 and discharging atoms op(e3, e4) = all_0_0_0, op(e3, e4) = all_0_44_44, yields: % 25.08/6.49 | (9010) all_0_0_0 = all_0_44_44 % 25.08/6.49 | % 25.08/6.49 | Instantiating formula (206) with e3, e3, all_0_1_1, e0 and discharging atoms op(e3, e3) = all_0_1_1, op(e3, e3) = e0, yields: % 25.08/6.49 | (9011) all_0_1_1 = e0 % 25.08/6.49 | % 25.08/6.49 | Instantiating formula (206) with e1, e3, all_0_20_20, e2 and discharging atoms op(e1, e3) = all_0_20_20, op(e1, e3) = e2, yields: % 25.08/6.49 | (4680) all_0_20_20 = e2 % 25.08/6.49 | % 25.08/6.49 | From (9009) and (1752) follows: % 25.08/6.49 | (559) op(e4, e0) = e0 % 25.08/6.49 | % 25.08/6.49 | From (9010) and (8980) follows: % 25.08/6.49 | (124) op(e3, e4) = all_0_44_44 % 25.08/6.49 | % 25.08/6.49 | From (4680) and (2236) follows: % 25.08/6.49 | (1020) op(e1, e3) = e2 % 25.08/6.49 | % 25.08/6.49 +-Applying beta-rule and splitting (201), into two cases. % 25.08/6.49 |-Branch one: % 25.08/6.49 | (1704) all_0_51_51 = e1 % 25.08/6.49 | % 25.08/6.49 | Equations (1704) can reduce 344 to: % 25.08/6.49 | (298) $false % 25.08/6.49 | % 25.08/6.49 |-The branch is then unsatisfiable % 25.08/6.49 |-Branch two: % 25.08/6.49 | (344) ~ (all_0_51_51 = e1) % 25.08/6.49 | (1707) all_0_51_51 = e2 | all_0_51_51 = e0 % 25.08/6.49 | % 25.08/6.49 +-Applying beta-rule and splitting (54), into two cases. % 25.08/6.49 |-Branch one: % 25.08/6.49 | (500) all_0_44_44 = e0 % 25.08/6.49 | % 25.08/6.49 | Equations (500) can reduce 503 to: % 25.08/6.49 | (298) $false % 25.08/6.49 | % 25.08/6.49 |-The branch is then unsatisfiable % 25.08/6.49 |-Branch two: % 25.08/6.49 | (503) ~ (all_0_44_44 = e0) % 25.08/6.49 | (504) all_0_49_49 = e0 | all_0_56_56 = e0 % 25.08/6.49 | % 25.08/6.49 +-Applying beta-rule and splitting (63), into two cases. % 25.08/6.49 |-Branch one: % 25.08/6.49 | (495) all_0_44_44 = e4 % 25.08/6.49 | % 25.08/6.49 | Equations (495) can reduce 205 to: % 25.08/6.49 | (496) ~ (all_0_49_49 = e4) % 25.08/6.49 | % 25.08/6.49 | Simplifying 496 yields: % 25.08/6.49 | (497) ~ (all_0_49_49 = e4) % 25.08/6.49 | % 25.08/6.49 | Equations (495) can reduce 195 to: % 25.08/6.49 | (2005) ~ (all_0_56_56 = e4) % 25.08/6.49 | % 25.08/6.49 | Simplifying 2005 yields: % 25.08/6.49 | (394) ~ (all_0_56_56 = e4) % 25.08/6.49 | % 25.08/6.49 | Equations (495) can reduce 273 to: % 25.08/6.49 | (115) ~ (e4 = e1) % 25.08/6.49 | % 25.08/6.49 | From (495) and (124) follows: % 25.08/6.49 | (499) op(e3, e4) = e4 % 25.08/6.49 | % 25.08/6.49 +-Applying beta-rule and splitting (8), into two cases. % 25.08/6.49 |-Branch one: % 25.08/6.49 | (318) all_0_48_48 = e1 % 25.08/6.49 | % 25.08/6.49 | Equations (318) can reduce 290 to: % 25.08/6.49 | (298) $false % 25.08/6.49 | % 25.08/6.49 |-The branch is then unsatisfiable % 25.08/6.49 |-Branch two: % 25.08/6.49 | (290) ~ (all_0_48_48 = e1) % 25.08/6.49 | (716) all_0_48_48 = e4 | all_0_48_48 = e3 | all_0_48_48 = e2 | all_0_48_48 = e0 % 25.08/6.49 | % 25.08/6.49 +-Applying beta-rule and splitting (226), into two cases. % 25.08/6.49 |-Branch one: % 25.08/6.49 | (506) all_0_49_49 = e4 % 25.08/6.49 | % 25.08/6.49 | Equations (506) can reduce 497 to: % 25.08/6.49 | (298) $false % 25.08/6.49 | % 25.08/6.49 |-The branch is then unsatisfiable % 25.08/6.49 |-Branch two: % 25.08/6.49 | (497) ~ (all_0_49_49 = e4) % 25.08/6.49 | (509) all_0_50_50 = e4 | all_0_52_52 = e4 % 25.08/6.49 | % 25.08/6.49 +-Applying beta-rule and splitting (460), into two cases. % 25.08/6.49 |-Branch one: % 25.08/6.49 | (637) all_0_49_49 = e0 % 25.08/6.49 | % 25.08/6.49 | Equations (637) can reduce 82 to: % 25.08/6.49 | (1990) ~ (all_0_51_51 = e0) % 25.08/6.49 | % 25.08/6.50 | Simplifying 1990 yields: % 25.08/6.50 | (1871) ~ (all_0_51_51 = e0) % 25.08/6.50 | % 25.08/6.50 | Equations (637) can reduce 106 to: % 25.08/6.50 | (1073) ~ (all_0_56_56 = e0) % 25.08/6.50 | % 25.08/6.50 | Simplifying 1073 yields: % 25.08/6.50 | (306) ~ (all_0_56_56 = e0) % 25.08/6.50 | % 25.08/6.50 | Equations (637) can reduce 86 to: % 25.08/6.50 | (782) ~ (e2 = e0) % 25.08/6.50 | % 25.08/6.50 | Simplifying 782 yields: % 25.08/6.50 | (139) ~ (e2 = e0) % 25.08/6.50 | % 25.08/6.50 | Equations (637) can reduce 329 to: % 25.08/6.50 | (526) ~ (e1 = e0) % 25.08/6.50 | % 25.08/6.50 | Simplifying 526 yields: % 25.08/6.50 | (231) ~ (e1 = e0) % 25.08/6.50 | % 25.08/6.50 | From (637) and (148) follows: % 25.08/6.50 | (8181) op(e0, e4) = all_0_18_18 % 25.08/6.50 | % 25.08/6.50 | From (637) and (159) follows: % 25.08/6.50 | (8520) op(e0, e2) = all_0_17_17 % 25.08/6.50 | % 25.08/6.50 +-Applying beta-rule and splitting (101), into two cases. % 25.08/6.50 |-Branch one: % 25.08/6.50 | (466) all_0_42_42 = e0 % 25.08/6.50 | % 25.08/6.50 | Combining equations (453,466) yields a new equation: % 25.08/6.50 | (296) e1 = e0 % 25.08/6.50 | % 25.08/6.50 | Simplifying 296 yields: % 25.08/6.50 | (297) e1 = e0 % 25.08/6.50 | % 25.08/6.50 | Equations (297) can reduce 231 to: % 25.08/6.50 | (298) $false % 25.08/6.50 | % 25.08/6.50 |-The branch is then unsatisfiable % 25.08/6.50 |-Branch two: % 25.08/6.50 | (463) ~ (all_0_42_42 = e0) % 25.08/6.50 | (841) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_59_59 = e0 % 25.08/6.50 | % 25.08/6.50 +-Applying beta-rule and splitting (141), into two cases. % 25.08/6.50 |-Branch one: % 25.08/6.50 | (653) all_0_56_56 = e0 % 25.08/6.50 | % 25.08/6.50 | Equations (653) can reduce 306 to: % 25.08/6.50 | (298) $false % 25.08/6.50 | % 25.08/6.50 |-The branch is then unsatisfiable % 25.08/6.50 |-Branch two: % 25.08/6.50 | (306) ~ (all_0_56_56 = e0) % 25.08/6.50 | (2992) all_0_57_57 = e0 | all_0_59_59 = e0 | all_0_60_60 = e0 % 25.08/6.50 | % 25.08/6.50 +-Applying beta-rule and splitting (509), into two cases. % 25.08/6.50 |-Branch one: % 25.08/6.50 | (523) all_0_50_50 = e4 % 25.08/6.50 | % 25.08/6.50 | Combining equations (771,523) yields a new equation: % 25.08/6.50 | (535) e4 = e1 % 25.08/6.50 | % 25.08/6.50 | Equations (535) can reduce 115 to: % 25.08/6.50 | (298) $false % 25.08/6.50 | % 25.08/6.50 |-The branch is then unsatisfiable % 25.08/6.50 |-Branch two: % 25.08/6.50 | (596) ~ (all_0_50_50 = e4) % 25.08/6.50 | (597) all_0_52_52 = e4 % 25.08/6.50 | % 25.08/6.50 | Equations (597) can reduce 88 to: % 25.08/6.50 | (690) ~ (all_0_48_48 = e4) % 25.08/6.50 | % 25.08/6.50 | From (597) and (49) follows: % 25.08/6.50 | (9066) op(e4, e2) = all_0_23_23 % 25.08/6.50 | % 25.08/6.50 | From (597) and (71) follows: % 25.08/6.50 | (4881) op(e4, e0) = all_0_24_24 % 25.08/6.50 | % 25.08/6.50 | From (597) and (217) follows: % 25.08/6.50 | (2643) op(e2, e0) = e4 % 25.08/6.50 | % 25.08/6.50 +-Applying beta-rule and splitting (244), into two cases. % 25.08/6.50 |-Branch one: % 25.08/6.50 | (743) all_0_48_48 = e2 % 25.08/6.50 | % 25.08/6.50 | Equations (743) can reduce 224 to: % 25.08/6.50 | (361) ~ (all_0_47_47 = e2) % 25.08/6.50 | % 25.08/6.50 | Equations (743) can reduce 690 to: % 25.08/6.50 | (399) ~ (e4 = e2) % 25.08/6.50 | % 25.08/6.50 | Simplifying 399 yields: % 25.08/6.50 | (46) ~ (e4 = e2) % 25.08/6.50 | % 25.08/6.50 | Equations (743) can reduce 290 to: % 25.08/6.50 | (134) ~ (e2 = e1) % 25.08/6.50 | % 25.08/6.50 | From (743) and (225) follows: % 25.08/6.50 | (1027) op(e2, e3) = all_0_15_15 % 25.08/6.50 | % 25.08/6.50 | From (743) and (91) follows: % 25.08/6.50 | (4868) op(e2, e0) = all_0_16_16 % 25.08/6.50 | % 25.08/6.50 | From (743) and (202) follows: % 25.08/6.50 | (1028) op(e3, e0) = e2 % 25.08/6.50 | % 25.08/6.50 +-Applying beta-rule and splitting (32), into two cases. % 25.08/6.50 |-Branch one: % 25.08/6.50 | (368) all_0_47_47 = e2 % 25.08/6.50 | % 25.08/6.50 | Equations (368) can reduce 361 to: % 25.08/6.50 | (298) $false % 25.08/6.50 | % 25.08/6.50 |-The branch is then unsatisfiable % 25.08/6.50 |-Branch two: % 25.08/6.50 | (361) ~ (all_0_47_47 = e2) % 25.08/6.50 | (371) all_0_51_51 = e2 | all_0_59_59 = e2 % 25.08/6.50 | % 25.08/6.50 +-Applying beta-rule and splitting (103), into two cases. % 25.08/6.50 |-Branch one: % 25.08/6.50 | (838) all_0_50_50 = e2 % 25.08/6.50 | % 25.08/6.50 | Combining equations (771,838) yields a new equation: % 25.08/6.50 | (544) e2 = e1 % 25.08/6.50 | % 25.08/6.50 | Equations (544) can reduce 134 to: % 25.08/6.50 | (298) $false % 25.08/6.50 | % 25.08/6.50 |-The branch is then unsatisfiable % 25.08/6.50 |-Branch two: % 25.08/6.50 | (398) ~ (all_0_50_50 = e2) % 25.08/6.50 | (1906) all_0_51_51 = e2 | all_0_52_52 = e2 % 25.08/6.50 | % 25.08/6.50 +-Applying beta-rule and splitting (165), into two cases. % 25.08/6.50 |-Branch one: % 25.08/6.50 | (487) all_0_47_47 = e1 % 25.08/6.50 | % 25.08/6.50 | Equations (487) can reduce 343 to: % 25.08/6.50 | (298) $false % 25.08/6.50 | % 25.08/6.50 |-The branch is then unsatisfiable % 25.08/6.50 |-Branch two: % 25.08/6.50 | (343) ~ (all_0_47_47 = e1) % 25.08/6.50 | (490) all_0_47_47 = e3 | all_0_47_47 = e2 | all_0_47_47 = e0 % 25.08/6.50 | % 25.08/6.50 +-Applying beta-rule and splitting (70), into two cases. % 25.08/6.50 |-Branch one: % 25.08/6.50 | (314) all_0_56_56 = e1 % 25.08/6.50 | % 25.08/6.50 | Equations (314) can reduce 279 to: % 25.08/6.50 | (298) $false % 25.08/6.50 | % 25.08/6.50 |-The branch is then unsatisfiable % 25.08/6.50 |-Branch two: % 25.08/6.50 | (279) ~ (all_0_56_56 = e1) % 25.08/6.50 | (1499) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0 % 25.08/6.50 | % 25.08/6.50 +-Applying beta-rule and splitting (490), into two cases. % 25.08/6.50 |-Branch one: % 25.08/6.50 | (525) all_0_47_47 = e0 % 25.08/6.50 | % 25.08/6.50 | Equations (525) can reduce 589 to: % 25.08/6.50 | (298) $false % 25.08/6.50 | % 25.08/6.50 |-The branch is then unsatisfiable % 25.08/6.50 |-Branch two: % 25.08/6.50 | (589) ~ (all_0_47_47 = e0) % 25.08/6.50 | (590) all_0_47_47 = e3 | all_0_47_47 = e2 % 25.08/6.50 | % 25.08/6.50 +-Applying beta-rule and splitting (1499), into two cases. % 25.08/6.50 |-Branch one: % 25.08/6.50 | (653) all_0_56_56 = e0 % 25.08/6.50 | % 25.08/6.50 | Equations (653) can reduce 306 to: % 25.08/6.50 | (298) $false % 25.08/6.50 | % 25.08/6.50 |-The branch is then unsatisfiable % 25.08/6.50 |-Branch two: % 25.08/6.50 | (306) ~ (all_0_56_56 = e0) % 25.08/6.50 | (1503) all_0_56_56 = e4 | all_0_56_56 = e3 % 25.08/6.50 | % 25.08/6.50 +-Applying beta-rule and splitting (590), into two cases. % 25.08/6.50 |-Branch one: % 25.08/6.50 | (591) all_0_47_47 = e3 % 25.08/6.50 | % 25.08/6.50 +-Applying beta-rule and splitting (1503), into two cases. % 25.08/6.50 |-Branch one: % 25.08/6.50 | (376) all_0_56_56 = e3 % 25.08/6.50 | % 25.08/6.50 | Equations (376) can reduce 306 to: % 25.08/6.50 | (84) ~ (e3 = e0) % 25.08/6.50 | % 25.08/6.50 | From (376) and (229) follows: % 25.08/6.50 | (379) op(e3, e4) = all_0_32_32 % 25.08/6.50 | % 25.08/6.50 | From (376) and (58) follows: % 25.08/6.50 | (380) op(e3, e0) = all_0_31_31 % 25.08/6.50 | % 25.08/6.50 | From (376) and (48) follows: % 25.08/6.50 | (381) op(e0, e4) = e3 % 25.08/6.50 | % 25.08/6.50 +-Applying beta-rule and splitting (215), into two cases. % 25.08/6.50 |-Branch one: % 25.08/6.50 | (341) all_0_59_59 = e1 % 25.08/6.50 | % 25.08/6.50 | Equations (341) can reduce 2156 to: % 25.08/6.50 | (298) $false % 25.08/6.50 | % 25.08/6.50 |-The branch is then unsatisfiable % 25.08/6.50 |-Branch two: % 25.08/6.50 | (2156) ~ (all_0_59_59 = e1) % 25.08/6.50 | (2378) all_0_59_59 = e3 | all_0_59_59 = e2 | all_0_59_59 = e0 % 25.08/6.50 | % 25.08/6.50 +-Applying beta-rule and splitting (1906), into two cases. % 25.08/6.50 |-Branch one: % 25.08/6.50 | (396) all_0_51_51 = e2 % 25.08/6.50 | % 25.08/6.50 | Equations (396) can reduce 73 to: % 25.08/6.50 | (2551) ~ (all_0_59_59 = e2) % 25.08/6.50 | % 25.08/6.50 | Simplifying 2551 yields: % 25.08/6.50 | (963) ~ (all_0_59_59 = e2) % 25.08/6.50 | % 25.08/6.50 | Equations (396) can reduce 1871 to: % 25.08/6.50 | (139) ~ (e2 = e0) % 25.08/6.50 | % 25.08/6.50 | From (396) and (169) follows: % 25.08/6.50 | (404) op(e2, e2) = all_0_21_21 % 25.08/6.50 | % 25.08/6.50 +-Applying beta-rule and splitting (841), into two cases. % 25.08/6.50 |-Branch one: % 25.08/6.50 | (525) all_0_47_47 = e0 % 25.08/6.50 | % 25.08/6.50 | Combining equations (591,525) yields a new equation: % 25.08/6.50 | (654) e3 = e0 % 25.08/6.50 | % 25.08/6.50 | Simplifying 654 yields: % 25.08/6.50 | (534) e3 = e0 % 25.08/6.50 | % 25.08/6.50 | Equations (534) can reduce 84 to: % 25.08/6.50 | (298) $false % 25.08/6.50 | % 25.08/6.50 |-The branch is then unsatisfiable % 25.08/6.50 |-Branch two: % 25.08/6.50 | (589) ~ (all_0_47_47 = e0) % 25.08/6.50 | (2624) all_0_51_51 = e0 | all_0_59_59 = e0 % 25.08/6.50 | % 25.08/6.50 +-Applying beta-rule and splitting (2624), into two cases. % 25.08/6.50 |-Branch one: % 25.08/6.50 | (1730) all_0_51_51 = e0 % 25.08/6.50 | % 25.08/6.50 | Combining equations (396,1730) yields a new equation: % 25.08/6.50 | (568) e2 = e0 % 25.08/6.50 | % 25.08/6.50 | Simplifying 568 yields: % 25.08/6.50 | (569) e2 = e0 % 25.08/6.50 | % 25.08/6.50 | Equations (569) can reduce 139 to: % 25.08/6.50 | (298) $false % 25.08/6.50 | % 25.08/6.50 |-The branch is then unsatisfiable % 25.08/6.50 |-Branch two: % 25.08/6.50 | (1871) ~ (all_0_51_51 = e0) % 25.08/6.50 | (2627) all_0_59_59 = e0 % 25.08/6.50 | % 25.08/6.50 | Equations (2627) can reduce 963 to: % 25.08/6.50 | (782) ~ (e2 = e0) % 25.08/6.50 | % 25.08/6.50 | Simplifying 782 yields: % 25.08/6.50 | (139) ~ (e2 = e0) % 25.08/6.50 | % 25.08/6.50 | Equations (2627) can reduce 2156 to: % 25.08/6.50 | (526) ~ (e1 = e0) % 25.08/6.50 | % 25.08/6.50 | Simplifying 526 yields: % 25.08/6.50 | (231) ~ (e1 = e0) % 25.08/6.50 | % 25.08/6.50 | Instantiating formula (206) with e4, e2, all_0_23_23, e4 and discharging atoms op(e4, e2) = all_0_23_23, op(e4, e2) = e4, yields: % 25.08/6.50 | (5630) all_0_23_23 = e4 % 25.08/6.50 | % 25.08/6.50 | Instantiating formula (206) with e4, e0, all_0_24_24, e0 and discharging atoms op(e4, e0) = all_0_24_24, op(e4, e0) = e0, yields: % 25.08/6.50 | (9134) all_0_24_24 = e0 % 25.08/6.50 | % 25.08/6.50 | Instantiating formula (206) with e3, e4, e4, all_0_32_32 and discharging atoms op(e3, e4) = all_0_32_32, op(e3, e4) = e4, yields: % 25.08/6.50 | (9135) all_0_32_32 = e4 % 25.08/6.50 | % 25.08/6.50 | Instantiating formula (206) with e3, e0, e2, all_0_31_31 and discharging atoms op(e3, e0) = all_0_31_31, op(e3, e0) = e2, yields: % 25.08/6.50 | (9136) all_0_31_31 = e2 % 25.08/6.50 | % 25.08/6.50 | Instantiating formula (206) with e2, e3, all_0_15_15, e1 and discharging atoms op(e2, e3) = all_0_15_15, op(e2, e3) = e1, yields: % 25.08/6.50 | (9137) all_0_15_15 = e1 % 25.08/6.50 | % 25.08/6.50 | Instantiating formula (206) with e2, e2, all_0_21_21, e3 and discharging atoms op(e2, e2) = all_0_21_21, op(e2, e2) = e3, yields: % 25.08/6.50 | (443) all_0_21_21 = e3 % 25.08/6.50 | % 25.08/6.50 | Instantiating formula (206) with e2, e0, e4, all_0_16_16 and discharging atoms op(e2, e0) = all_0_16_16, op(e2, e0) = e4, yields: % 25.08/6.50 | (4893) all_0_16_16 = e4 % 25.08/6.50 | % 25.08/6.50 | Instantiating formula (206) with e0, e4, e3, all_0_18_18 and discharging atoms op(e0, e4) = all_0_18_18, op(e0, e4) = e3, yields: % 25.08/6.50 | (4482) all_0_18_18 = e3 % 25.08/6.50 | % 25.08/6.50 | Instantiating formula (206) with e0, e2, all_0_17_17, e2 and discharging atoms op(e0, e2) = all_0_17_17, op(e0, e2) = e2, yields: % 25.08/6.50 | (9141) all_0_17_17 = e2 % 25.08/6.50 | % 25.08/6.50 | From (5630) and (9066) follows: % 25.08/6.51 | (576) op(e4, e2) = e4 % 25.08/6.51 | % 25.08/6.51 | From (9134) and (4881) follows: % 25.08/6.51 | (559) op(e4, e0) = e0 % 25.08/6.51 | % 25.08/6.51 | From (9135) and (379) follows: % 25.08/6.51 | (499) op(e3, e4) = e4 % 25.08/6.51 | % 25.08/6.51 | From (9136) and (380) follows: % 25.08/6.51 | (1028) op(e3, e0) = e2 % 25.08/6.51 | % 25.08/6.51 | From (9137) and (1027) follows: % 25.08/6.51 | (2237) op(e2, e3) = e1 % 25.08/6.51 | % 25.08/6.51 | From (443) and (404) follows: % 25.08/6.51 | (72) op(e2, e2) = e3 % 25.08/6.51 | % 25.08/6.51 | From (4893) and (4868) follows: % 25.08/6.51 | (2643) op(e2, e0) = e4 % 25.08/6.51 | % 25.08/6.51 | From (4482) and (8181) follows: % 25.08/6.51 | (381) op(e0, e4) = e3 % 25.08/6.51 | % 25.08/6.51 | From (9141) and (8520) follows: % 25.08/6.51 | (981) op(e0, e2) = e2 % 25.08/6.51 | % 25.08/6.51 +-Applying beta-rule and splitting (55), into two cases. % 25.08/6.51 |-Branch one: % 25.08/6.51 | (529) unit = e1 % 25.08/6.51 | % 25.08/6.51 | From (529) and (143) follows: % 25.08/6.51 | (429) op(e1, e3) = e3 % 25.08/6.51 | % 25.08/6.51 | From (529) and (60) follows: % 25.08/6.51 | (1391) op(e1, e0) = e0 % 25.08/6.51 | % 25.08/6.51 | Instantiating formula (206) with e1, e3, e3, e2 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e2, yields: % 25.08/6.51 | (567) e3 = e2 % 25.08/6.51 | % 25.08/6.51 | Instantiating formula (206) with e1, e0, e0, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e0, yields: % 25.08/6.51 | (534) e3 = e0 % 25.08/6.51 | % 25.08/6.51 | Combining equations (567,534) yields a new equation: % 25.08/6.51 | (568) e2 = e0 % 25.08/6.51 | % 25.08/6.51 | Simplifying 568 yields: % 25.08/6.51 | (569) e2 = e0 % 25.08/6.51 | % 25.08/6.51 | Equations (569) can reduce 139 to: % 25.08/6.51 | (298) $false % 25.08/6.51 | % 25.08/6.51 |-The branch is then unsatisfiable % 25.08/6.51 |-Branch two: % 25.08/6.51 | (540) ~ (unit = e1) % 25.08/6.51 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 25.08/6.51 | % 25.08/6.51 +-Applying beta-rule and splitting (541), into two cases. % 25.08/6.51 |-Branch one: % 25.08/6.51 | (542) unit = e0 % 25.08/6.51 | % 25.08/6.51 | Equations (542) can reduce 540 to: % 25.08/6.51 | (526) ~ (e1 = e0) % 25.08/6.51 | % 25.08/6.51 | Simplifying 526 yields: % 25.08/6.51 | (231) ~ (e1 = e0) % 25.08/6.51 | % 25.08/6.51 | From (542) and (243) follows: % 25.08/6.51 | (522) op(e4, e0) = e4 % 25.08/6.51 | % 25.08/6.51 | From (542) and (74) follows: % 25.08/6.51 | (494) op(e3, e0) = e3 % 25.08/6.51 | % 25.08/6.51 | From (542) and (66) follows: % 25.08/6.51 | (2384) op(e2, e0) = e2 % 25.08/6.51 | % 25.08/6.51 | From (542) and (221) follows: % 25.08/6.51 | (543) op(e1, e0) = e1 % 25.08/6.51 | % 25.08/6.51 | Instantiating formula (206) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 25.08/6.51 | (481) e4 = e0 % 25.08/6.51 | % 25.08/6.51 | Instantiating formula (206) with e3, e0, e3, e2 and discharging atoms op(e3, e0) = e3, op(e3, e0) = e2, yields: % 25.08/6.51 | (567) e3 = e2 % 25.08/6.51 | % 25.08/6.51 | Instantiating formula (206) with e2, e0, e2, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e2, yields: % 25.08/6.51 | (409) e4 = e2 % 25.08/6.51 | % 25.08/6.51 | Instantiating formula (206) with e1, e0, e1, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e1, yields: % 25.08/6.51 | (420) e3 = e1 % 25.08/6.51 | % 25.08/6.51 | Combining equations (409,481) yields a new equation: % 25.08/6.51 | (568) e2 = e0 % 25.08/6.51 | % 25.08/6.51 | Simplifying 568 yields: % 25.08/6.51 | (569) e2 = e0 % 25.08/6.51 | % 25.08/6.51 | Combining equations (567,420) yields a new equation: % 25.08/6.51 | (887) e2 = e1 % 25.08/6.51 | % 25.08/6.51 | Simplifying 887 yields: % 25.08/6.51 | (544) e2 = e1 % 25.08/6.51 | % 25.08/6.51 | Combining equations (544,569) yields a new equation: % 25.08/6.51 | (296) e1 = e0 % 25.08/6.51 | % 25.08/6.51 | Simplifying 296 yields: % 25.08/6.51 | (297) e1 = e0 % 25.08/6.51 | % 25.08/6.51 | Equations (297) can reduce 231 to: % 25.08/6.51 | (298) $false % 25.08/6.51 | % 25.08/6.51 |-The branch is then unsatisfiable % 25.08/6.51 |-Branch two: % 25.08/6.51 | (546) ~ (unit = e0) % 25.08/6.51 | (547) unit = e4 | unit = e3 | unit = e2 % 25.08/6.51 | % 25.08/6.51 +-Applying beta-rule and splitting (547), into two cases. % 25.08/6.51 |-Branch one: % 25.08/6.51 | (548) unit = e3 % 25.08/6.51 | % 25.08/6.51 | From (548) and (60) follows: % 25.08/6.51 | (549) op(e3, e0) = e0 % 25.08/6.51 | % 25.08/6.51 | From (548) and (221) follows: % 25.08/6.51 | (550) op(e1, e3) = e1 % 25.08/6.51 | % 25.08/6.51 | Instantiating formula (206) with e3, e0, e0, e2 and discharging atoms op(e3, e0) = e2, op(e3, e0) = e0, yields: % 25.08/6.51 | (569) e2 = e0 % 25.08/6.51 | % 25.08/6.51 | Instantiating formula (206) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 25.08/6.51 | (544) e2 = e1 % 25.08/6.51 | % 25.08/6.51 | Combining equations (544,569) yields a new equation: % 25.08/6.51 | (296) e1 = e0 % 25.08/6.51 | % 25.08/6.51 | Simplifying 296 yields: % 25.08/6.51 | (297) e1 = e0 % 25.08/6.51 | % 25.08/6.51 | Equations (297) can reduce 231 to: % 25.08/6.51 | (298) $false % 25.08/6.51 | % 25.08/6.51 |-The branch is then unsatisfiable % 25.08/6.51 |-Branch two: % 25.08/6.51 | (555) ~ (unit = e3) % 25.08/6.51 | (556) unit = e4 | unit = e2 % 25.08/6.51 | % 25.08/6.51 +-Applying beta-rule and splitting (556), into two cases. % 25.08/6.51 |-Branch one: % 25.08/6.51 | (557) unit = e4 % 25.08/6.51 | % 25.08/6.51 | From (557) and (24) follows: % 25.08/6.51 | (558) op(e4, e2) = e2 % 25.08/6.51 | % 25.08/6.51 | From (557) and (74) follows: % 25.08/6.51 | (561) op(e3, e4) = e3 % 25.08/6.51 | % 25.08/6.51 | From (557) and (67) follows: % 25.08/6.51 | (812) op(e0, e4) = e0 % 25.08/6.51 | % 25.08/6.51 | Instantiating formula (206) with e4, e2, e2, e4 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 25.08/6.51 | (409) e4 = e2 % 25.08/6.51 | % 25.08/6.51 | Instantiating formula (206) with e3, e4, e3, e4 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e3, yields: % 25.08/6.51 | (392) e4 = e3 % 25.08/6.51 | % 25.08/6.51 | Instantiating formula (206) with e0, e4, e0, e3 and discharging atoms op(e0, e4) = e3, op(e0, e4) = e0, yields: % 25.08/6.51 | (534) e3 = e0 % 25.08/6.51 | % 25.08/6.51 | Combining equations (409,392) yields a new equation: % 25.08/6.51 | (567) e3 = e2 % 25.08/6.51 | % 25.08/6.51 | Combining equations (567,534) yields a new equation: % 25.08/6.51 | (568) e2 = e0 % 25.08/6.51 | % 25.08/6.51 | Simplifying 568 yields: % 25.08/6.51 | (569) e2 = e0 % 25.08/6.51 | % 25.08/6.51 | Equations (569) can reduce 139 to: % 25.08/6.51 | (298) $false % 25.08/6.51 | % 25.08/6.51 |-The branch is then unsatisfiable % 25.08/6.51 |-Branch two: % 25.08/6.51 | (573) ~ (unit = e4) % 25.08/6.51 | (574) unit = e2 % 25.08/6.51 | % 25.08/6.51 | From (574) and (143) follows: % 25.08/6.51 | (575) op(e2, e3) = e3 % 25.08/6.51 | % 25.08/6.51 | From (574) and (66) follows: % 25.08/6.51 | (577) op(e2, e2) = e2 % 25.08/6.51 | % 25.08/6.51 | From (574) and (67) follows: % 25.08/6.51 | (578) op(e0, e2) = e0 % 25.08/6.51 | % 25.08/6.51 | Instantiating formula (206) with e2, e3, e3, e1 and discharging atoms op(e2, e3) = e3, op(e2, e3) = e1, yields: % 25.08/6.51 | (420) e3 = e1 % 25.08/6.51 | % 25.08/6.51 | Instantiating formula (206) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 25.08/6.51 | (567) e3 = e2 % 25.08/6.51 | % 25.08/6.51 | Instantiating formula (206) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 25.08/6.53 | (569) e2 = e0 % 25.08/6.53 | % 25.08/6.53 | Combining equations (567,420) yields a new equation: % 25.08/6.53 | (887) e2 = e1 % 25.08/6.53 | % 25.08/6.53 | Simplifying 887 yields: % 25.08/6.53 | (544) e2 = e1 % 25.08/6.53 | % 25.08/6.53 | Combining equations (544,569) yields a new equation: % 25.08/6.53 | (296) e1 = e0 % 25.08/6.53 | % 25.08/6.53 | Simplifying 296 yields: % 25.08/6.53 | (297) e1 = e0 % 25.08/6.53 | % 25.08/6.53 | Equations (297) can reduce 231 to: % 25.08/6.53 | (298) $false % 25.08/6.53 | % 25.08/6.53 |-The branch is then unsatisfiable % 25.08/6.53 |-Branch two: % 25.08/6.53 | (885) ~ (all_0_51_51 = e2) % 25.08/6.53 | (938) all_0_52_52 = e2 % 25.08/6.53 | % 25.08/6.53 | Combining equations (938,597) yields a new equation: % 25.08/6.53 | (409) e4 = e2 % 25.08/6.53 | % 25.08/6.53 | Equations (409) can reduce 46 to: % 25.08/6.53 | (298) $false % 25.08/6.53 | % 25.08/6.53 |-The branch is then unsatisfiable % 25.08/6.53 |-Branch two: % 25.08/6.53 | (890) ~ (all_0_56_56 = e3) % 25.08/6.53 | (390) all_0_56_56 = e4 % 25.08/6.53 | % 25.08/6.53 | Equations (390) can reduce 394 to: % 25.08/6.53 | (298) $false % 25.08/6.53 | % 25.08/6.53 |-The branch is then unsatisfiable % 25.08/6.53 |-Branch two: % 25.08/6.53 | (493) ~ (all_0_47_47 = e3) % 25.08/6.53 | (368) all_0_47_47 = e2 % 25.08/6.53 | % 25.08/6.53 | Equations (368) can reduce 361 to: % 25.08/6.53 | (298) $false % 25.08/6.53 | % 25.08/6.53 |-The branch is then unsatisfiable % 25.08/6.53 |-Branch two: % 25.08/6.53 | (363) ~ (all_0_48_48 = e2) % 25.08/6.53 | (927) all_0_52_52 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 25.08/6.53 | % 25.08/6.53 +-Applying beta-rule and splitting (155), into two cases. % 25.08/6.53 |-Branch one: % 25.08/6.53 | (948) all_0_45_45 = e2 % 25.08/6.53 | % 25.08/6.53 | Combining equations (295,948) yields a new equation: % 25.08/6.53 | (569) e2 = e0 % 25.08/6.53 | % 25.08/6.53 | Equations (569) can reduce 139 to: % 25.08/6.53 | (298) $false % 25.08/6.53 | % 25.08/6.53 |-The branch is then unsatisfiable % 25.08/6.53 |-Branch two: % 25.08/6.53 | (951) ~ (all_0_45_45 = e2) % 25.08/6.53 | (1616) all_0_46_46 = e2 | all_0_47_47 = e2 | all_0_48_48 = e2 % 25.08/6.53 | % 25.08/6.53 +-Applying beta-rule and splitting (1707), into two cases. % 25.08/6.53 |-Branch one: % 25.08/6.53 | (1730) all_0_51_51 = e0 % 25.08/6.53 | % 25.08/6.53 | Equations (1730) can reduce 1871 to: % 25.08/6.53 | (298) $false % 25.08/6.53 | % 25.08/6.53 |-The branch is then unsatisfiable % 25.08/6.53 |-Branch two: % 25.08/6.53 | (1871) ~ (all_0_51_51 = e0) % 25.08/6.53 | (396) all_0_51_51 = e2 % 25.08/6.53 | % 25.08/6.53 | Equations (396) can reduce 171 to: % 25.08/6.53 | (361) ~ (all_0_47_47 = e2) % 25.08/6.53 | % 25.08/6.53 | Equations (396) can reduce 344 to: % 25.08/6.53 | (134) ~ (e2 = e1) % 25.08/6.53 | % 25.08/6.53 +-Applying beta-rule and splitting (1616), into two cases. % 25.08/6.53 |-Branch one: % 25.08/6.53 | (358) all_0_46_46 = e2 % 25.08/6.53 | % 25.08/6.53 | Combining equations (982,358) yields a new equation: % 25.08/6.53 | (544) e2 = e1 % 25.08/6.53 | % 25.08/6.53 | Equations (544) can reduce 134 to: % 25.08/6.53 | (298) $false % 25.08/6.53 | % 25.08/6.53 |-The branch is then unsatisfiable % 25.08/6.53 |-Branch two: % 25.08/6.53 | (973) ~ (all_0_46_46 = e2) % 25.08/6.53 | (1665) all_0_47_47 = e2 | all_0_48_48 = e2 % 25.08/6.53 | % 25.08/6.53 +-Applying beta-rule and splitting (1665), into two cases. % 25.08/6.53 |-Branch one: % 25.08/6.53 | (368) all_0_47_47 = e2 % 25.08/6.53 | % 25.08/6.53 | Equations (368) can reduce 361 to: % 25.08/6.53 | (298) $false % 25.08/6.53 | % 25.08/6.53 |-The branch is then unsatisfiable % 25.08/6.53 |-Branch two: % 25.08/6.53 | (361) ~ (all_0_47_47 = e2) % 25.08/6.53 | (743) all_0_48_48 = e2 % 25.08/6.53 | % 25.08/6.53 | Equations (743) can reduce 363 to: % 25.08/6.53 | (298) $false % 25.08/6.53 | % 25.08/6.53 |-The branch is then unsatisfiable % 25.08/6.53 |-Branch two: % 25.08/6.53 | (652) ~ (all_0_49_49 = e0) % 25.08/6.53 | (506) all_0_49_49 = e4 % 25.08/6.53 | % 25.08/6.53 | Equations (506) can reduce 497 to: % 25.08/6.53 | (298) $false % 25.08/6.53 | % 25.08/6.53 |-The branch is then unsatisfiable % 25.08/6.53 |-Branch two: % 25.08/6.53 | (610) ~ (all_0_44_44 = e4) % 25.08/6.53 | (615) all_0_49_49 = e4 | all_0_56_56 = e4 % 25.08/6.53 | % 25.08/6.53 +-Applying beta-rule and splitting (615), into two cases. % 25.08/6.53 |-Branch one: % 25.08/6.53 | (506) all_0_49_49 = e4 % 25.08/6.53 | % 25.08/6.53 | Equations (506) can reduce 205 to: % 25.08/6.53 | (610) ~ (all_0_44_44 = e4) % 25.08/6.54 | % 25.08/6.54 | Equations (506) can reduce 82 to: % 25.08/6.54 | (1721) ~ (all_0_51_51 = e4) % 25.08/6.54 | % 25.08/6.54 | Simplifying 1721 yields: % 25.08/6.54 | (37) ~ (all_0_51_51 = e4) % 25.08/6.54 | % 25.08/6.54 | Equations (506) can reduce 329 to: % 25.08/6.54 | (115) ~ (e4 = e1) % 25.08/6.54 | % 25.08/6.54 +-Applying beta-rule and splitting (170), into two cases. % 25.08/6.54 |-Branch one: % 25.08/6.54 | (1299) all_0_44_44 = e1 % 25.08/6.54 | % 25.08/6.54 | Equations (1299) can reduce 273 to: % 25.08/6.54 | (298) $false % 25.08/6.54 | % 25.08/6.54 |-The branch is then unsatisfiable % 25.08/6.54 |-Branch two: % 25.08/6.54 | (273) ~ (all_0_44_44 = e1) % 25.08/6.54 | (1302) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e0 % 25.08/6.54 | % 25.08/6.54 +-Applying beta-rule and splitting (45), into two cases. % 25.08/6.54 |-Branch one: % 25.08/6.54 | (520) all_0_43_43 = e4 % 25.08/6.54 | % 25.08/6.54 | Combining equations (1253,520) yields a new equation: % 25.08/6.54 | (481) e4 = e0 % 25.08/6.54 | % 25.08/6.54 | Equations (481) can reduce 47 to: % 25.08/6.54 | (298) $false % 25.08/6.54 | % 25.08/6.54 |-The branch is then unsatisfiable % 25.08/6.54 |-Branch two: % 25.08/6.54 | (601) ~ (all_0_43_43 = e4) % 25.08/6.54 | (602) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_60_60 = e4 % 25.08/6.54 | % 25.08/6.54 | Equations (1253) can reduce 601 to: % 25.08/6.54 | (485) ~ (e4 = e0) % 25.08/6.54 | % 25.08/6.54 | Simplifying 485 yields: % 25.08/6.54 | (47) ~ (e4 = e0) % 25.08/6.54 | % 25.08/6.54 +-Applying beta-rule and splitting (89), into two cases. % 25.08/6.54 |-Branch one: % 25.08/6.54 | (495) all_0_44_44 = e4 % 25.08/6.54 | % 25.08/6.54 | Equations (495) can reduce 610 to: % 25.08/6.54 | (298) $false % 25.08/6.54 | % 25.08/6.54 |-The branch is then unsatisfiable % 25.08/6.54 |-Branch two: % 25.08/6.54 | (610) ~ (all_0_44_44 = e4) % 25.08/6.54 | (611) all_0_45_45 = e4 | all_0_46_46 = e4 | all_0_48_48 = e4 % 25.08/6.54 | % 25.08/6.54 +-Applying beta-rule and splitting (611), into two cases. % 25.08/6.54 |-Branch one: % 25.08/6.54 | (1221) all_0_45_45 = e4 % 25.08/6.54 | % 25.08/6.54 | Combining equations (295,1221) yields a new equation: % 25.08/6.54 | (481) e4 = e0 % 25.08/6.54 | % 25.08/6.54 | Equations (481) can reduce 47 to: % 25.08/6.54 | (298) $false % 25.08/6.54 | % 25.08/6.54 |-The branch is then unsatisfiable % 25.08/6.54 |-Branch two: % 25.08/6.54 | (1224) ~ (all_0_45_45 = e4) % 25.08/6.54 | (2314) all_0_46_46 = e4 | all_0_48_48 = e4 % 25.08/6.54 | % 25.08/6.54 +-Applying beta-rule and splitting (133), into two cases. % 25.08/6.54 |-Branch one: % 25.08/6.54 | (326) all_0_52_52 = e1 % 25.08/6.54 | % 25.08/6.54 | Equations (326) can reduce 2161 to: % 25.08/6.54 | (298) $false % 25.08/6.54 | % 25.08/6.54 |-The branch is then unsatisfiable % 25.08/6.54 |-Branch two: % 25.08/6.54 | (2161) ~ (all_0_52_52 = e1) % 25.08/6.54 | (2880) all_0_52_52 = e4 | all_0_52_52 = e2 | all_0_52_52 = e0 % 25.08/6.54 | % 25.08/6.54 +-Applying beta-rule and splitting (2314), into two cases. % 25.08/6.54 |-Branch one: % 25.08/6.54 | (933) all_0_46_46 = e4 % 25.08/6.54 | % 25.08/6.54 | Combining equations (982,933) yields a new equation: % 25.08/6.54 | (535) e4 = e1 % 25.08/6.54 | % 25.08/6.54 | Equations (535) can reduce 115 to: % 25.08/6.54 | (298) $false % 25.08/6.54 | % 25.08/6.54 |-The branch is then unsatisfiable % 25.08/6.54 |-Branch two: % 25.08/6.54 | (936) ~ (all_0_46_46 = e4) % 25.08/6.54 | (687) all_0_48_48 = e4 % 25.08/6.54 | % 25.08/6.54 | Combining equations (687,2279) yields a new equation: % 25.08/6.54 | (5834) all_0_30_30 = e4 % 25.08/6.54 | % 25.08/6.54 | Equations (687) can reduce 6 to: % 25.08/6.54 | (610) ~ (all_0_44_44 = e4) % 25.08/6.54 | % 25.08/6.54 | Equations (687) can reduce 88 to: % 25.08/6.54 | (2335) ~ (all_0_52_52 = e4) % 25.08/6.54 | % 25.08/6.54 | Simplifying 2335 yields: % 25.08/6.54 | (695) ~ (all_0_52_52 = e4) % 25.08/6.54 | % 25.08/6.54 | Equations (687) can reduce 290 to: % 25.08/6.54 | (115) ~ (e4 = e1) % 25.08/6.54 | % 25.08/6.54 | Equations (687) can reduce 303 to: % 25.08/6.54 | (47) ~ (e4 = e0) % 25.08/6.54 | % 25.08/6.54 +-Applying beta-rule and splitting (2880), into two cases. % 25.08/6.54 |-Branch one: % 25.08/6.54 | (2078) all_0_52_52 = e0 % 25.08/6.54 | % 25.08/6.54 | Equations (2078) can reduce 304 to: % 25.08/6.54 | (298) $false % 25.08/6.54 | % 25.08/6.54 |-The branch is then unsatisfiable % 25.08/6.54 |-Branch two: % 25.08/6.54 | (304) ~ (all_0_52_52 = e0) % 25.08/6.54 | (2984) all_0_52_52 = e4 | all_0_52_52 = e2 % 25.08/6.54 | % 25.08/6.54 +-Applying beta-rule and splitting (504), into two cases. % 25.08/6.54 |-Branch one: % 25.08/6.54 | (637) all_0_49_49 = e0 % 25.08/6.54 | % 25.08/6.54 | Combining equations (506,637) yields a new equation: % 25.08/6.54 | (480) e4 = e0 % 25.08/6.54 | % 25.08/6.54 | Simplifying 480 yields: % 25.08/6.54 | (481) e4 = e0 % 25.08/6.54 | % 25.08/6.54 | Equations (481) can reduce 47 to: % 25.08/6.54 | (298) $false % 25.08/6.54 | % 25.08/6.54 |-The branch is then unsatisfiable % 25.08/6.54 |-Branch two: % 25.08/6.54 | (652) ~ (all_0_49_49 = e0) % 25.08/6.54 | (653) all_0_56_56 = e0 % 25.08/6.54 | % 25.08/6.54 | Equations (653) can reduce 195 to: % 25.08/6.54 | (503) ~ (all_0_44_44 = e0) % 25.08/6.54 | % 25.08/6.54 | Equations (653) can reduce 99 to: % 25.08/6.54 | (5460) ~ (all_0_59_59 = e0) % 25.08/6.54 | % 25.08/6.54 | Simplifying 5460 yields: % 25.08/6.54 | (309) ~ (all_0_59_59 = e0) % 25.08/6.54 | % 25.08/6.54 | Equations (653) can reduce 26 to: % 25.08/6.54 | (782) ~ (e2 = e0) % 25.08/6.54 | % 25.08/6.54 | Simplifying 782 yields: % 25.08/6.54 | (139) ~ (e2 = e0) % 25.08/6.54 | % 25.08/6.54 | Equations (653) can reduce 279 to: % 25.08/6.54 | (526) ~ (e1 = e0) % 25.08/6.54 | % 25.08/6.54 | Simplifying 526 yields: % 25.08/6.54 | (231) ~ (e1 = e0) % 25.08/6.54 | % 25.08/6.54 +-Applying beta-rule and splitting (101), into two cases. % 25.08/6.54 |-Branch one: % 25.08/6.54 | (466) all_0_42_42 = e0 % 25.08/6.54 | % 25.08/6.54 | Combining equations (453,466) yields a new equation: % 25.08/6.54 | (296) e1 = e0 % 25.08/6.54 | % 25.08/6.54 | Simplifying 296 yields: % 25.08/6.54 | (297) e1 = e0 % 25.08/6.54 | % 25.08/6.54 | Equations (297) can reduce 231 to: % 25.08/6.54 | (298) $false % 25.08/6.54 | % 25.08/6.54 |-The branch is then unsatisfiable % 25.08/6.54 |-Branch two: % 25.08/6.54 | (463) ~ (all_0_42_42 = e0) % 25.08/6.54 | (841) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_59_59 = e0 % 25.08/6.54 | % 25.08/6.54 +-Applying beta-rule and splitting (841), into two cases. % 25.08/6.54 |-Branch one: % 25.08/6.54 | (525) all_0_47_47 = e0 % 25.08/6.54 | % 25.08/6.54 | Equations (525) can reduce 589 to: % 25.08/6.54 | (298) $false % 25.08/6.54 | % 25.08/6.54 |-The branch is then unsatisfiable % 25.08/6.54 |-Branch two: % 25.08/6.54 | (589) ~ (all_0_47_47 = e0) % 25.08/6.54 | (2624) all_0_51_51 = e0 | all_0_59_59 = e0 % 25.08/6.54 | % 25.08/6.54 +-Applying beta-rule and splitting (2624), into two cases. % 25.08/6.54 |-Branch one: % 25.08/6.54 | (1730) all_0_51_51 = e0 % 25.08/6.54 | % 25.08/6.54 | Equations (1730) can reduce 73 to: % 25.08/6.54 | (5460) ~ (all_0_59_59 = e0) % 25.08/6.54 | % 25.08/6.54 | Simplifying 5460 yields: % 25.08/6.54 | (309) ~ (all_0_59_59 = e0) % 25.08/6.54 | % 25.08/6.54 | Equations (1730) can reduce 37 to: % 25.08/6.54 | (485) ~ (e4 = e0) % 25.08/6.54 | % 25.08/6.54 | Simplifying 485 yields: % 25.08/6.54 | (47) ~ (e4 = e0) % 25.08/6.54 | % 25.08/6.54 +-Applying beta-rule and splitting (140), into two cases. % 25.08/6.54 |-Branch one: % 25.08/6.54 | (892) all_0_44_44 = e3 % 25.08/6.54 | % 25.08/6.54 | Equations (892) can reduce 503 to: % 25.08/6.54 | (84) ~ (e3 = e0) % 25.08/6.54 | % 25.08/6.54 +-Applying beta-rule and splitting (32), into two cases. % 25.08/6.54 |-Branch one: % 25.08/6.54 | (368) all_0_47_47 = e2 % 25.08/6.54 | % 25.08/6.54 | Equations (368) can reduce 119 to: % 25.08/6.54 | (2551) ~ (all_0_59_59 = e2) % 25.08/6.54 | % 25.08/6.54 | Simplifying 2551 yields: % 25.08/6.54 | (963) ~ (all_0_59_59 = e2) % 25.08/6.54 | % 25.08/6.54 +-Applying beta-rule and splitting (215), into two cases. % 25.08/6.54 |-Branch one: % 25.08/6.54 | (341) all_0_59_59 = e1 % 25.08/6.54 | % 25.08/6.54 | Equations (341) can reduce 2156 to: % 25.08/6.54 | (298) $false % 25.08/6.54 | % 25.08/6.54 |-The branch is then unsatisfiable % 25.08/6.54 |-Branch two: % 25.08/6.54 | (2156) ~ (all_0_59_59 = e1) % 25.08/6.54 | (2378) all_0_59_59 = e3 | all_0_59_59 = e2 | all_0_59_59 = e0 % 25.08/6.54 | % 25.08/6.54 +-Applying beta-rule and splitting (2984), into two cases. % 25.08/6.54 |-Branch one: % 25.08/6.54 | (597) all_0_52_52 = e4 % 25.08/6.54 | % 25.08/6.54 | Equations (597) can reduce 695 to: % 25.08/6.54 | (298) $false % 25.08/6.54 | % 25.08/6.54 |-The branch is then unsatisfiable % 25.08/6.54 |-Branch two: % 25.08/6.54 | (695) ~ (all_0_52_52 = e4) % 25.08/6.54 | (938) all_0_52_52 = e2 % 25.08/6.54 | % 25.08/6.54 | Equations (938) can reduce 2161 to: % 25.08/6.54 | (134) ~ (e2 = e1) % 25.08/6.54 | % 25.08/6.54 +-Applying beta-rule and splitting (96), into two cases. % 25.08/6.54 |-Branch one: % 25.08/6.54 | (376) all_0_56_56 = e3 % 25.08/6.54 | % 25.08/6.54 | Combining equations (376,653) yields a new equation: % 25.08/6.54 | (654) e3 = e0 % 25.08/6.54 | % 25.08/6.54 | Simplifying 654 yields: % 25.08/6.54 | (534) e3 = e0 % 25.08/6.54 | % 25.08/6.54 | Equations (534) can reduce 84 to: % 25.08/6.54 | (298) $false % 25.08/6.54 | % 25.08/6.54 |-The branch is then unsatisfiable % 25.08/6.54 |-Branch two: % 25.08/6.54 | (890) ~ (all_0_56_56 = e3) % 25.08/6.54 | (891) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 25.08/6.54 | % 25.08/6.54 | Equations (653) can reduce 890 to: % 25.08/6.54 | (620) ~ (e3 = e0) % 25.08/6.54 | % 25.08/6.54 | Simplifying 620 yields: % 25.08/6.54 | (84) ~ (e3 = e0) % 25.08/6.54 | % 25.08/6.54 +-Applying beta-rule and splitting (132), into two cases. % 25.08/6.54 |-Branch one: % 25.08/6.54 | (4611) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_38_38 = e0 & ~ (all_0_37_37 = e1) & ~ (all_0_55_55 = all_0_59_59)) % 25.08/6.54 | % 25.08/6.54 +-Applying beta-rule and splitting (4611), into two cases. % 25.08/6.54 |-Branch one: % 25.08/6.54 | (4612) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_52_52 = all_0_58_58)) % 25.08/6.54 | % 25.08/6.54 +-Applying beta-rule and splitting (4612), into two cases. % 25.08/6.54 |-Branch one: % 25.08/6.54 | (4613) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_48_48 = all_0_57_57)) % 25.08/6.54 | % 25.08/6.54 +-Applying beta-rule and splitting (4613), into two cases. % 25.08/6.54 |-Branch one: % 25.08/6.54 | (4614) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56)) % 25.08/6.54 | % 25.08/6.54 +-Applying beta-rule and splitting (4614), into two cases. % 25.08/6.54 |-Branch one: % 25.08/6.54 | (4615) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) % 25.08/6.54 | % 25.08/6.54 +-Applying beta-rule and splitting (4615), into two cases. % 25.08/6.54 |-Branch one: % 25.08/6.54 | (4616) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) % 25.08/6.54 | % 25.08/6.55 +-Applying beta-rule and splitting (4616), into two cases. % 25.08/6.55 |-Branch one: % 25.08/6.55 | (4617) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) % 25.08/6.55 | % 25.08/6.55 +-Applying beta-rule and splitting (4617), into two cases. % 25.08/6.55 |-Branch one: % 25.08/6.55 | (4618) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) % 25.08/6.55 | % 25.08/6.55 +-Applying beta-rule and splitting (4618), into two cases. % 25.08/6.55 |-Branch one: % 25.08/6.55 | (4619) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) % 25.08/6.55 | % 25.08/6.55 +-Applying beta-rule and splitting (4619), into two cases. % 25.08/6.55 |-Branch one: % 25.08/6.55 | (4620) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) % 25.08/6.55 | % 25.08/6.55 +-Applying beta-rule and splitting (4620), into two cases. % 25.08/6.55 |-Branch one: % 25.08/6.55 | (4621) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) % 25.08/6.55 | % 25.08/6.55 +-Applying beta-rule and splitting (4621), into two cases. % 25.08/6.55 |-Branch one: % 25.08/6.55 | (4622) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) % 25.08/6.55 | % 25.08/6.55 +-Applying beta-rule and splitting (4622), into two cases. % 25.08/6.55 |-Branch one: % 25.08/6.55 | (4623) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) % 25.08/6.55 | % 25.08/6.55 +-Applying beta-rule and splitting (4623), into two cases. % 25.08/6.55 |-Branch one: % 25.08/6.55 | (4624) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) % 25.08/6.55 | % 25.08/6.55 +-Applying beta-rule and splitting (4624), into two cases. % 25.08/6.55 |-Branch one: % 25.08/6.55 | (4625) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) % 25.08/6.55 | % 25.08/6.55 +-Applying beta-rule and splitting (4625), into two cases. % 25.08/6.55 |-Branch one: % 25.08/6.55 | (4626) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) % 25.08/6.55 | % 25.08/6.55 +-Applying beta-rule and splitting (4626), into two cases. % 25.08/6.55 |-Branch one: % 25.08/6.55 | (4627) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) % 25.08/6.55 | % 25.08/6.55 +-Applying beta-rule and splitting (4627), into two cases. % 25.08/6.55 |-Branch one: % 25.08/6.55 | (4628) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) % 25.08/6.55 | % 25.08/6.55 +-Applying beta-rule and splitting (4628), into two cases. % 25.08/6.55 |-Branch one: % 25.08/6.55 | (4629) all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44) % 25.08/6.55 | % 25.08/6.55 | Applying alpha-rule on (4629) yields: % 25.08/6.55 | (1760) all_0_1_1 = e4 % 25.08/6.55 | (4631) ~ (all_0_0_0 = e3) % 25.08/6.55 | (4632) ~ (all_0_40_40 = all_0_44_44) % 25.08/6.55 | % 25.08/6.55 | Combining equations (1760,9011) yields a new equation: % 25.08/6.55 | (480) e4 = e0 % 25.08/6.55 | % 25.08/6.55 | Simplifying 480 yields: % 25.08/6.55 | (481) e4 = e0 % 25.08/6.55 | % 25.08/6.55 | Equations (481) can reduce 47 to: % 25.08/6.55 | (298) $false % 25.08/6.55 | % 25.08/6.55 |-The branch is then unsatisfiable % 25.08/6.55 |-Branch two: % 25.08/6.55 | (4634) all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49) % 25.08/6.55 | % 25.08/6.55 | Applying alpha-rule on (4634) yields: % 25.08/6.55 | (4635) all_0_3_3 = e4 % 25.08/6.55 | (4636) ~ (all_0_2_2 = e2) % 25.08/6.55 | (4637) ~ (all_0_41_41 = all_0_49_49) % 25.08/6.55 | % 25.08/6.55 | Equations (603,506) can reduce 4637 to: % 25.08/6.55 | (298) $false % 25.08/6.55 | % 25.08/6.55 |-The branch is then unsatisfiable % 25.08/6.55 |-Branch two: % 25.08/6.55 | (4641) all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53) % 25.08/6.55 | % 25.08/6.55 | Applying alpha-rule on (4641) yields: % 25.08/6.55 | (4642) all_0_5_5 = e4 % 25.08/6.55 | (4643) ~ (all_0_4_4 = e1) % 25.08/6.55 | (4644) ~ (all_0_42_42 = all_0_53_53) % 25.08/6.55 | % 25.08/6.55 | Equations (453,272) can reduce 4644 to: % 25.08/6.55 | (298) $false % 25.08/6.55 | % 25.08/6.55 |-The branch is then unsatisfiable % 25.08/6.55 |-Branch two: % 25.08/6.55 | (4646) all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56) % 25.08/6.55 | % 25.08/6.55 | Applying alpha-rule on (4646) yields: % 25.08/6.55 | (1006) all_0_7_7 = e4 % 25.08/6.55 | (4648) ~ (all_0_6_6 = e0) % 25.08/6.55 | (4649) ~ (all_0_43_43 = all_0_56_56) % 25.08/6.55 | % 25.08/6.55 | Combining equations (1006,8942) yields a new equation: % 25.08/6.55 | (598) e4 = e1 % 25.08/6.55 | % 25.08/6.55 | Simplifying 598 yields: % 25.08/6.55 | (535) e4 = e1 % 25.08/6.55 | % 25.08/6.55 | Equations (535) can reduce 115 to: % 25.08/6.55 | (298) $false % 25.08/6.55 | % 25.08/6.55 |-The branch is then unsatisfiable % 25.08/6.55 |-Branch two: % 25.08/6.55 | (4651) all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44) % 25.08/6.55 | % 25.08/6.55 | Applying alpha-rule on (4651) yields: % 25.08/6.55 | (2277) all_0_9_9 = e3 % 25.08/6.55 | (4653) ~ (all_0_8_8 = e4) % 25.08/6.55 | (4632) ~ (all_0_40_40 = all_0_44_44) % 25.08/6.55 | % 25.08/6.55 | Equations (755,892) can reduce 4632 to: % 25.08/6.55 | (298) $false % 25.08/6.55 | % 25.08/6.55 |-The branch is then unsatisfiable % 25.08/6.55 |-Branch two: % 25.08/6.55 | (4657) all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50) % 25.08/6.55 | % 25.08/6.55 | Applying alpha-rule on (4657) yields: % 25.08/6.55 | (437) all_0_12_12 = e3 % 25.08/6.55 | (4659) ~ (all_0_11_11 = e2) % 25.08/6.55 | (4660) ~ (all_0_46_46 = all_0_50_50) % 25.08/6.55 | % 25.08/6.56 | Combining equations (437,8892) yields a new equation: % 25.08/6.56 | (654) e3 = e0 % 25.08/6.56 | % 25.08/6.56 | Simplifying 654 yields: % 25.08/6.56 | (534) e3 = e0 % 25.08/6.56 | % 25.08/6.56 | Equations (534) can reduce 84 to: % 25.08/6.56 | (298) $false % 25.08/6.56 | % 25.08/6.56 |-The branch is then unsatisfiable % 25.08/6.56 |-Branch two: % 25.08/6.56 | (4663) all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54) % 25.08/6.56 | % 25.08/6.56 | Applying alpha-rule on (4663) yields: % 25.08/6.56 | (4664) all_0_14_14 = e3 % 25.08/6.56 | (4665) ~ (all_0_13_13 = e1) % 25.08/6.56 | (4666) ~ (all_0_47_47 = all_0_54_54) % 25.08/6.56 | % 25.08/6.56 | Equations (368,382) can reduce 4666 to: % 25.08/6.56 | (298) $false % 25.08/6.56 | % 25.08/6.56 |-The branch is then unsatisfiable % 25.08/6.56 |-Branch two: % 25.08/6.56 | (4668) all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57) % 25.08/6.56 | % 25.08/6.56 | Applying alpha-rule on (4668) yields: % 25.08/6.56 | (4669) all_0_16_16 = e3 % 25.08/6.56 | (4670) ~ (all_0_15_15 = e0) % 25.08/6.56 | (4671) ~ (all_0_48_48 = all_0_57_57) % 25.08/6.56 | % 25.08/6.56 | Equations (687,407) can reduce 4671 to: % 25.08/6.56 | (298) $false % 25.08/6.56 | % 25.08/6.56 |-The branch is then unsatisfiable % 25.08/6.56 |-Branch two: % 25.08/6.56 | (4673) all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49) % 25.08/6.56 | % 25.08/6.56 | Applying alpha-rule on (4673) yields: % 25.08/6.56 | (4674) all_0_18_18 = e2 % 25.08/6.56 | (4675) ~ (all_0_17_17 = e4) % 25.08/6.56 | (4637) ~ (all_0_41_41 = all_0_49_49) % 25.08/6.56 | % 25.08/6.56 | Equations (603,506) can reduce 4637 to: % 25.08/6.56 | (298) $false % 25.08/6.56 | % 25.08/6.56 |-The branch is then unsatisfiable % 25.08/6.56 |-Branch two: % 25.08/6.56 | (4679) all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50) % 25.08/6.56 | % 25.08/6.56 | Applying alpha-rule on (4679) yields: % 25.08/6.56 | (4680) all_0_20_20 = e2 % 25.08/6.56 | (4681) ~ (all_0_19_19 = e3) % 25.08/6.56 | (4660) ~ (all_0_46_46 = all_0_50_50) % 25.08/6.56 | % 25.08/6.56 | Equations (982,771) can reduce 4660 to: % 25.08/6.56 | (298) $false % 25.08/6.56 | % 25.08/6.56 |-The branch is then unsatisfiable % 25.08/6.56 |-Branch two: % 25.08/6.56 | (4684) all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0) % 25.08/6.56 | % 25.08/6.56 | Applying alpha-rule on (4684) yields: % 25.08/6.56 | (440) all_0_22_22 = e2 % 25.08/6.56 | (4686) ~ (all_0_21_21 = e1) % 25.08/6.56 | (1871) ~ (all_0_51_51 = e0) % 25.08/6.56 | % 25.08/6.56 | Equations (1730) can reduce 1871 to: % 25.08/6.56 | (298) $false % 25.08/6.56 | % 25.08/6.56 |-The branch is then unsatisfiable % 25.08/6.56 |-Branch two: % 25.08/6.56 | (4689) all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58) % 25.08/6.56 | % 25.08/6.56 | Applying alpha-rule on (4689) yields: % 25.08/6.56 | (4690) all_0_24_24 = e2 % 25.08/6.56 | (4691) ~ (all_0_23_23 = e0) % 25.08/6.56 | (4692) ~ (all_0_52_52 = all_0_58_58) % 25.08/6.56 | % 25.08/6.56 | Equations (938,955) can reduce 4692 to: % 25.08/6.56 | (298) $false % 25.08/6.56 | % 25.08/6.56 |-The branch is then unsatisfiable % 25.08/6.56 |-Branch two: % 25.08/6.56 | (4694) all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53) % 25.08/6.56 | % 25.08/6.56 | Applying alpha-rule on (4694) yields: % 25.08/6.56 | (4695) all_0_26_26 = e1 % 25.08/6.56 | (4696) ~ (all_0_25_25 = e4) % 25.08/6.56 | (4644) ~ (all_0_42_42 = all_0_53_53) % 25.08/6.56 | % 25.08/6.56 | Equations (453,272) can reduce 4644 to: % 25.08/6.56 | (298) $false % 25.08/6.56 | % 25.08/6.56 |-The branch is then unsatisfiable % 25.08/6.56 |-Branch two: % 25.08/6.56 | (4701) all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54) % 25.08/6.56 | % 25.08/6.56 | Applying alpha-rule on (4701) yields: % 25.08/6.56 | (2280) all_0_28_28 = e1 % 25.08/6.56 | (4703) ~ (all_0_27_27 = e3) % 25.08/6.56 | (4666) ~ (all_0_47_47 = all_0_54_54) % 25.08/6.56 | % 25.08/6.56 | Equations (368,382) can reduce 4666 to: % 25.08/6.56 | (298) $false % 25.08/6.56 | % 25.08/6.56 |-The branch is then unsatisfiable % 25.08/6.56 |-Branch two: % 25.08/6.56 | (4708) all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59) % 25.08/6.56 | % 25.08/6.56 | Applying alpha-rule on (4708) yields: % 25.08/6.56 | (4709) all_0_30_30 = e1 % 25.08/6.56 | (4710) ~ (all_0_29_29 = e0) % 25.08/6.56 | (4711) ~ (all_0_55_55 = all_0_59_59) % 25.08/6.56 | % 25.08/6.56 | Combining equations (4709,5834) yields a new equation: % 25.08/6.56 | (535) e4 = e1 % 25.08/6.56 | % 25.08/6.56 | Equations (535) can reduce 115 to: % 25.08/6.56 | (298) $false % 25.08/6.56 | % 25.08/6.56 |-The branch is then unsatisfiable % 25.08/6.56 |-Branch two: % 25.08/6.56 | (4713) all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56) % 25.08/6.56 | % 25.08/6.56 | Applying alpha-rule on (4713) yields: % 25.08/6.56 | (4714) all_0_32_32 = e0 % 25.08/6.56 | (4715) ~ (all_0_31_31 = e4) % 25.08/6.56 | (4649) ~ (all_0_43_43 = all_0_56_56) % 25.08/6.56 | % 25.08/6.56 | Equations (1253,653) can reduce 4649 to: % 25.08/6.56 | (298) $false % 25.08/6.56 | % 25.08/6.56 |-The branch is then unsatisfiable % 25.08/6.56 |-Branch two: % 25.08/6.56 | (4719) all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_48_48 = all_0_57_57) % 25.08/6.56 | % 25.08/6.56 | Applying alpha-rule on (4719) yields: % 25.08/6.56 | (4720) all_0_34_34 = e0 % 25.08/6.56 | (4721) ~ (all_0_33_33 = e3) % 25.08/6.56 | (4671) ~ (all_0_48_48 = all_0_57_57) % 25.08/6.56 | % 25.08/6.56 | Combining equations (4720,9008) yields a new equation: % 25.08/6.56 | (534) e3 = e0 % 25.08/6.56 | % 25.08/6.56 | Equations (534) can reduce 84 to: % 25.08/6.56 | (298) $false % 25.08/6.56 | % 25.08/6.56 |-The branch is then unsatisfiable % 25.08/6.56 |-Branch two: % 25.08/6.56 | (4725) all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_52_52 = all_0_58_58) % 25.08/6.56 | % 25.08/6.56 | Applying alpha-rule on (4725) yields: % 25.08/6.56 | (4726) all_0_36_36 = e0 % 25.08/6.56 | (4727) ~ (all_0_35_35 = e2) % 25.08/6.56 | (4692) ~ (all_0_52_52 = all_0_58_58) % 25.08/6.56 | % 25.08/6.56 | Combining equations (1007,4726) yields a new equation: % 25.08/6.56 | (654) e3 = e0 % 25.08/6.56 | % 25.08/6.56 | Simplifying 654 yields: % 25.08/6.56 | (534) e3 = e0 % 25.08/6.56 | % 25.08/6.56 | Equations (534) can reduce 84 to: % 25.08/6.56 | (298) $false % 25.08/6.56 | % 25.08/6.56 |-The branch is then unsatisfiable % 25.08/6.56 |-Branch two: % 25.08/6.56 | (4731) all_0_38_38 = e0 & ~ (all_0_37_37 = e1) & ~ (all_0_55_55 = all_0_59_59) % 25.08/6.56 | % 25.08/6.56 | Applying alpha-rule on (4731) yields: % 25.08/6.56 | (4732) all_0_38_38 = e0 % 25.08/6.56 | (4733) ~ (all_0_37_37 = e1) % 25.08/6.56 | (4711) ~ (all_0_55_55 = all_0_59_59) % 25.08/6.56 | % 25.08/6.56 | Equations (876) can reduce 4711 to: % 25.08/6.56 | (2351) ~ (all_0_59_59 = e3) % 25.08/6.56 | % 25.08/6.56 | Simplifying 2351 yields: % 25.08/6.56 | (910) ~ (all_0_59_59 = e3) % 25.08/6.56 | % 25.08/6.56 +-Applying beta-rule and splitting (2378), into two cases. % 25.08/6.56 |-Branch one: % 25.08/6.56 | (2627) all_0_59_59 = e0 % 25.08/6.56 | % 25.08/6.56 | Equations (2627) can reduce 309 to: % 25.08/6.56 | (298) $false % 25.08/6.56 | % 25.08/6.56 |-The branch is then unsatisfiable % 25.08/6.56 |-Branch two: % 25.08/6.56 | (309) ~ (all_0_59_59 = e0) % 25.08/6.56 | (2774) all_0_59_59 = e3 | all_0_59_59 = e2 % 25.08/6.57 | % 25.08/6.57 +-Applying beta-rule and splitting (2774), into two cases. % 25.08/6.57 |-Branch one: % 25.08/6.57 | (907) all_0_59_59 = e3 % 25.08/6.57 | % 25.08/6.57 | Equations (907) can reduce 910 to: % 25.08/6.57 | (298) $false % 25.08/6.57 | % 25.08/6.57 |-The branch is then unsatisfiable % 25.08/6.57 |-Branch two: % 25.08/6.57 | (910) ~ (all_0_59_59 = e3) % 25.08/6.57 | (886) all_0_59_59 = e2 % 25.08/6.57 | % 25.08/6.57 | Equations (886) can reduce 963 to: % 25.08/6.57 | (298) $false % 25.08/6.57 | % 25.08/6.57 |-The branch is then unsatisfiable % 25.08/6.57 |-Branch two: % 25.08/6.57 | (4738) all_0_58_58 = e1 & ~ (all_0_51_51 = e0) & ~ (all_0_59_59 = e2) % 25.08/6.57 | % 25.08/6.57 | Applying alpha-rule on (4738) yields: % 25.08/6.57 | (337) all_0_58_58 = e1 % 25.08/6.57 | (1871) ~ (all_0_51_51 = e0) % 25.08/6.57 | (963) ~ (all_0_59_59 = e2) % 25.08/6.57 | % 25.08/6.57 | Combining equations (955,337) yields a new equation: % 25.08/6.57 | (887) e2 = e1 % 25.08/6.57 | % 25.08/6.57 | Simplifying 887 yields: % 25.08/6.57 | (544) e2 = e1 % 25.08/6.57 | % 25.08/6.57 | Equations (544) can reduce 134 to: % 25.08/6.57 | (298) $false % 25.08/6.57 | % 25.08/6.57 |-The branch is then unsatisfiable % 25.08/6.57 |-Branch two: % 25.08/6.57 | (361) ~ (all_0_47_47 = e2) % 25.08/6.57 | (371) all_0_51_51 = e2 | all_0_59_59 = e2 % 25.08/6.57 | % 25.08/6.57 +-Applying beta-rule and splitting (155), into two cases. % 25.08/6.57 |-Branch one: % 25.08/6.57 | (948) all_0_45_45 = e2 % 25.08/6.57 | % 25.08/6.57 | Combining equations (295,948) yields a new equation: % 25.08/6.57 | (569) e2 = e0 % 25.08/6.57 | % 25.08/6.57 | Equations (569) can reduce 139 to: % 25.08/6.57 | (298) $false % 25.08/6.57 | % 25.08/6.57 |-The branch is then unsatisfiable % 25.08/6.57 |-Branch two: % 25.08/6.57 | (951) ~ (all_0_45_45 = e2) % 25.08/6.57 | (1616) all_0_46_46 = e2 | all_0_47_47 = e2 | all_0_48_48 = e2 % 25.08/6.57 | % 25.08/6.57 | Equations (295) can reduce 951 to: % 25.08/6.57 | (782) ~ (e2 = e0) % 25.08/6.57 | % 25.08/6.57 | Simplifying 782 yields: % 25.08/6.57 | (139) ~ (e2 = e0) % 25.08/6.57 | % 25.08/6.57 +-Applying beta-rule and splitting (371), into two cases. % 25.08/6.57 |-Branch one: % 25.08/6.57 | (396) all_0_51_51 = e2 % 25.08/6.57 | % 25.08/6.57 | Combining equations (1730,396) yields a new equation: % 25.08/6.57 | (569) e2 = e0 % 25.08/6.57 | % 25.08/6.57 | Equations (569) can reduce 139 to: % 25.08/6.57 | (298) $false % 25.08/6.57 | % 25.08/6.57 |-The branch is then unsatisfiable % 25.08/6.57 |-Branch two: % 25.08/6.57 | (885) ~ (all_0_51_51 = e2) % 25.08/6.57 | (886) all_0_59_59 = e2 % 25.08/6.57 | % 25.08/6.57 | Equations (886) can reduce 963 to: % 25.08/6.57 | (298) $false % 25.08/6.57 | % 25.08/6.57 |-The branch is then unsatisfiable % 25.08/6.57 |-Branch two: % 25.08/6.57 | (914) ~ (all_0_44_44 = e3) % 25.08/6.57 | (915) all_0_53_53 = e3 | all_0_56_56 = e3 % 25.08/6.57 | % 25.08/6.57 +-Applying beta-rule and splitting (1302), into two cases. % 25.08/6.57 |-Branch one: % 25.08/6.57 | (500) all_0_44_44 = e0 % 25.08/6.57 | % 25.08/6.57 | Equations (500) can reduce 503 to: % 25.08/6.57 | (298) $false % 25.08/6.57 | % 25.08/6.57 |-The branch is then unsatisfiable % 25.08/6.57 |-Branch two: % 25.08/6.57 | (503) ~ (all_0_44_44 = e0) % 25.08/6.57 | (1306) all_0_44_44 = e4 | all_0_44_44 = e3 % 25.08/6.57 | % 25.08/6.57 +-Applying beta-rule and splitting (1306), into two cases. % 25.08/6.57 |-Branch one: % 25.08/6.57 | (892) all_0_44_44 = e3 % 25.08/6.57 | % 25.08/6.57 | Equations (892) can reduce 914 to: % 25.08/6.57 | (298) $false % 25.08/6.57 | % 25.08/6.57 |-The branch is then unsatisfiable % 25.08/6.57 |-Branch two: % 25.08/6.57 | (914) ~ (all_0_44_44 = e3) % 25.08/6.57 | (495) all_0_44_44 = e4 % 25.08/6.57 | % 25.08/6.57 | Equations (495) can reduce 610 to: % 25.08/6.57 | (298) $false % 25.08/6.57 | % 25.08/6.57 |-The branch is then unsatisfiable % 25.08/6.57 |-Branch two: % 25.08/6.57 | (1871) ~ (all_0_51_51 = e0) % 25.08/6.57 | (2627) all_0_59_59 = e0 % 25.08/6.57 | % 25.08/6.57 | Equations (2627) can reduce 309 to: % 25.08/6.57 | (298) $false % 25.08/6.57 | % 25.08/6.57 |-The branch is then unsatisfiable % 25.08/6.57 |-Branch two: % 25.08/6.57 | (497) ~ (all_0_49_49 = e4) % 25.08/6.57 | (390) all_0_56_56 = e4 % 25.08/6.57 | % 25.08/6.57 | Equations (390) can reduce 394 to: % 25.08/6.57 | (298) $false % 25.08/6.57 | % 25.08/6.57 |-The branch is then unsatisfiable % 25.08/6.57 |-Branch two: % 25.08/6.57 | (411) ~ (all_0_57_57 = e4) % 25.08/6.57 | (372) all_0_57_57 = e2 % 25.08/6.57 | % 25.08/6.57 | Equations (372) can reduce 922 to: % 25.08/6.57 | (298) $false % 25.08/6.57 | % 25.08/6.57 |-The branch is then unsatisfiable % 25.08/6.57 |-Branch two: % 25.08/6.57 | (330) ~ (all_0_50_50 = e1) % 25.08/6.57 | (3685) all_0_54_54 = e1 | all_0_57_57 = e1 % 25.08/6.57 | % 25.08/6.57 +-Applying beta-rule and splitting (3685), into two cases. % 25.08/6.57 |-Branch one: % 25.08/6.57 | (1669) all_0_54_54 = e1 % 25.08/6.57 | % 25.08/6.57 | Combining equations (382,1669) yields a new equation: % 25.08/6.57 | (887) e2 = e1 % 25.08/6.57 | % 25.08/6.57 | Simplifying 887 yields: % 25.08/6.57 | (544) e2 = e1 % 25.08/6.57 | % 25.08/6.57 | Equations (544) can reduce 134 to: % 25.08/6.57 | (298) $false % 25.08/6.57 | % 25.08/6.57 |-The branch is then unsatisfiable % 25.08/6.57 |-Branch two: % 25.08/6.57 | (275) ~ (all_0_54_54 = e1) % 25.08/6.57 | (322) all_0_57_57 = e1 % 25.08/6.57 | % 25.08/6.57 | Equations (322) can reduce 294 to: % 25.08/6.57 | (298) $false % 25.08/6.57 | % 25.08/6.57 |-The branch is then unsatisfiable % 25.08/6.57 |-Branch two: % 25.08/6.57 | (425) ~ (all_0_40_40 = e3) % 25.08/6.57 | (479) all_0_40_40 = e4 % 25.08/6.57 | % 25.08/6.57 | Equations (479) can reduce 483 to: % 25.08/6.57 | (298) $false % 25.08/6.57 | % 25.08/6.57 |-The branch is then unsatisfiable % 25.08/6.57 |-Branch two: % 25.08/6.57 | (256) ~ (all_0_42_42 = e1) % 25.08/6.57 | (456) all_0_42_42 = e3 | all_0_42_42 = e0 % 25.08/6.57 | % 25.08/6.57 +-Applying beta-rule and splitting (147), into two cases. % 25.08/6.57 |-Branch one: % 25.08/6.57 | (453) all_0_42_42 = e1 % 25.08/6.57 | % 25.08/6.57 | Equations (453) can reduce 256 to: % 25.08/6.57 | (298) $false % 25.08/6.57 | % 25.08/6.57 |-The branch is then unsatisfiable % 25.08/6.57 |-Branch two: % 25.08/6.57 | (256) ~ (all_0_42_42 = e1) % 25.08/6.57 | (5490) all_0_47_47 = e1 | all_0_51_51 = e1 | all_0_59_59 = e1 % 25.08/6.57 | % 25.08/6.57 +-Applying beta-rule and splitting (5490), into two cases. % 25.08/6.57 |-Branch one: % 25.08/6.57 | (487) all_0_47_47 = e1 % 25.08/6.57 | % 25.08/6.57 | Equations (487) can reduce 343 to: % 25.08/6.57 | (298) $false % 25.08/6.57 | % 25.08/6.57 |-The branch is then unsatisfiable % 25.08/6.57 |-Branch two: % 25.08/6.57 | (343) ~ (all_0_47_47 = e1) % 25.08/6.57 | (6059) all_0_51_51 = e1 | all_0_59_59 = e1 % 25.08/6.57 | % 25.08/6.57 +-Applying beta-rule and splitting (6059), into two cases. % 25.08/6.57 |-Branch one: % 25.08/6.57 | (1704) all_0_51_51 = e1 % 25.08/6.57 | % 25.08/6.57 | Equations (1704) can reduce 171 to: % 25.08/6.57 | (343) ~ (all_0_47_47 = e1) % 25.08/6.57 | % 25.08/6.57 | Equations (1704) can reduce 82 to: % 25.08/6.57 | (329) ~ (all_0_49_49 = e1) % 25.08/6.57 | % 25.08/6.57 | Equations (1704) can reduce 73 to: % 25.08/6.57 | (2217) ~ (all_0_59_59 = e1) % 25.08/6.57 | % 25.08/6.57 | Simplifying 2217 yields: % 25.08/6.57 | (2156) ~ (all_0_59_59 = e1) % 25.08/6.57 | % 25.08/6.57 | Equations (1704) can reduce 37 to: % 25.08/6.57 | (347) ~ (e4 = e1) % 25.08/6.57 | % 25.08/6.57 | Simplifying 347 yields: % 25.08/6.57 | (115) ~ (e4 = e1) % 25.08/6.57 | % 25.08/6.57 | From (1704) and (149) follows: % 25.08/6.57 | (825) op(e2, e1) = e1 % 25.08/6.57 | % 25.08/6.57 +-Applying beta-rule and splitting (32), into two cases. % 25.08/6.57 |-Branch one: % 25.08/6.57 | (368) all_0_47_47 = e2 % 25.08/6.57 | % 25.08/6.57 | Equations (368) can reduce 242 to: % 25.08/6.57 | (131) ~ (all_0_42_42 = e2) % 25.08/6.57 | % 25.08/6.57 | Equations (368) can reduce 98 to: % 25.08/6.57 | (107) ~ (all_0_44_44 = e2) % 25.08/6.57 | % 25.08/6.57 | Equations (368) can reduce 224 to: % 25.08/6.57 | (362) ~ (all_0_48_48 = e2) % 25.08/6.57 | % 25.08/6.57 | Simplifying 362 yields: % 25.08/6.57 | (363) ~ (all_0_48_48 = e2) % 25.08/6.57 | % 25.08/6.57 | Equations (368) can reduce 343 to: % 25.08/6.57 | (134) ~ (e2 = e1) % 25.08/6.57 | % 25.08/6.57 | Equations (368) can reduce 589 to: % 25.08/6.57 | (139) ~ (e2 = e0) % 25.08/6.57 | % 25.08/6.57 | From (368) and (177) follows: % 25.08/6.57 | (5095) op(e2, e3) = all_0_13_13 % 25.08/6.57 | % 25.08/6.57 | From (368) and (235) follows: % 25.08/6.57 | (5096) op(e2, e1) = all_0_14_14 % 25.08/6.57 | % 25.08/6.57 +-Applying beta-rule and splitting (15), into two cases. % 25.08/6.57 |-Branch one: % 25.08/6.57 | (747) all_0_40_40 = e1 % 25.08/6.57 | % 25.47/6.57 | Equations (747) can reduce 204 to: % 25.47/6.57 | (255) ~ (all_0_42_42 = e1) % 25.47/6.57 | % 25.47/6.57 | Simplifying 255 yields: % 25.47/6.57 | (256) ~ (all_0_42_42 = e1) % 25.47/6.57 | % 25.47/6.57 | Equations (747) can reduce 483 to: % 25.47/6.57 | (347) ~ (e4 = e1) % 25.47/6.57 | % 25.47/6.57 | Simplifying 347 yields: % 25.47/6.57 | (115) ~ (e4 = e1) % 25.47/6.57 | % 25.47/6.57 | Equations (747) can reduce 246 to: % 25.47/6.57 | (263) ~ (e2 = e1) % 25.47/6.57 | % 25.47/6.57 | Simplifying 263 yields: % 25.47/6.57 | (134) ~ (e2 = e1) % 25.47/6.57 | % 25.47/6.57 | Equations (747) can reduce 745 to: % 25.47/6.57 | (231) ~ (e1 = e0) % 25.47/6.57 | % 25.47/6.57 | From (747) and (43) follows: % 25.47/6.57 | (9569) op(e1, e3) = all_0_1_1 % 25.47/6.57 | % 25.47/6.57 | From (747) and (233) follows: % 25.47/6.57 | (9570) op(e4, e3) = e1 % 25.47/6.57 | % 25.47/6.57 +-Applying beta-rule and splitting (163), into two cases. % 25.47/6.57 |-Branch one: % 25.47/6.57 | (892) all_0_44_44 = e3 % 25.47/6.57 | % 25.47/6.57 | Equations (892) can reduce 107 to: % 25.47/6.57 | (213) ~ (e3 = e2) % 25.47/6.57 | % 25.47/6.57 | Equations (892) can reduce 503 to: % 25.47/6.57 | (84) ~ (e3 = e0) % 25.47/6.57 | % 25.47/6.57 | From (892) and (116) follows: % 25.47/6.57 | (2275) op(e3, e4) = all_0_9_9 % 25.47/6.57 | % 25.47/6.57 | From (892) and (124) follows: % 25.47/6.57 | (561) op(e3, e4) = e3 % 25.47/6.57 | % 25.47/6.57 +-Applying beta-rule and splitting (89), into two cases. % 25.47/6.57 |-Branch one: % 25.47/6.57 | (495) all_0_44_44 = e4 % 25.47/6.57 | % 25.47/6.57 | Combining equations (892,495) yields a new equation: % 25.47/6.57 | (392) e4 = e3 % 25.47/6.57 | % 25.47/6.57 | Equations (392) can reduce 184 to: % 25.47/6.57 | (298) $false % 25.47/6.57 | % 25.47/6.57 |-The branch is then unsatisfiable % 25.47/6.57 |-Branch two: % 25.47/6.57 | (610) ~ (all_0_44_44 = e4) % 25.47/6.57 | (611) all_0_45_45 = e4 | all_0_46_46 = e4 | all_0_48_48 = e4 % 25.47/6.57 | % 25.47/6.57 +-Applying beta-rule and splitting (611), into two cases. % 25.47/6.57 |-Branch one: % 25.47/6.57 | (1221) all_0_45_45 = e4 % 25.47/6.57 | % 25.47/6.57 | Combining equations (1221,295) yields a new equation: % 25.47/6.57 | (480) e4 = e0 % 25.47/6.57 | % 25.47/6.57 | Simplifying 480 yields: % 25.47/6.57 | (481) e4 = e0 % 25.47/6.57 | % 25.47/6.57 | Equations (481) can reduce 47 to: % 25.47/6.57 | (298) $false % 25.47/6.57 | % 25.47/6.57 |-The branch is then unsatisfiable % 25.47/6.57 |-Branch two: % 25.47/6.57 | (1224) ~ (all_0_45_45 = e4) % 25.47/6.57 | (2314) all_0_46_46 = e4 | all_0_48_48 = e4 % 25.47/6.57 | % 25.47/6.57 +-Applying beta-rule and splitting (2314), into two cases. % 25.47/6.57 |-Branch one: % 25.47/6.57 | (933) all_0_46_46 = e4 % 25.47/6.57 | % 25.47/6.57 | Combining equations (933,982) yields a new equation: % 25.47/6.57 | (598) e4 = e1 % 25.47/6.57 | % 25.47/6.57 | Simplifying 598 yields: % 25.47/6.57 | (535) e4 = e1 % 25.47/6.57 | % 25.47/6.57 | Equations (535) can reduce 115 to: % 25.47/6.57 | (298) $false % 25.47/6.57 | % 25.47/6.57 |-The branch is then unsatisfiable % 25.47/6.57 |-Branch two: % 25.47/6.57 | (936) ~ (all_0_46_46 = e4) % 25.47/6.57 | (687) all_0_48_48 = e4 % 25.47/6.57 | % 25.47/6.57 | Equations (687) can reduce 88 to: % 25.47/6.57 | (2335) ~ (all_0_52_52 = e4) % 25.47/6.57 | % 25.47/6.57 | Simplifying 2335 yields: % 25.47/6.57 | (695) ~ (all_0_52_52 = e4) % 25.47/6.57 | % 25.47/6.57 | Equations (687) can reduce 363 to: % 25.47/6.57 | (46) ~ (e4 = e2) % 25.47/6.57 | % 25.47/6.57 | From (687) and (225) follows: % 25.47/6.57 | (7257) op(e4, e3) = all_0_15_15 % 25.47/6.57 | % 25.47/6.57 | From (687) and (91) follows: % 25.47/6.57 | (6164) op(e4, e0) = all_0_16_16 % 25.47/6.57 | % 25.47/6.57 | From (687) and (202) follows: % 25.47/6.57 | (2323) op(e3, e0) = e4 % 25.47/6.57 | % 25.47/6.57 +-Applying beta-rule and splitting (101), into two cases. % 25.47/6.57 |-Branch one: % 25.47/6.57 | (466) all_0_42_42 = e0 % 25.47/6.57 | % 25.47/6.57 | Equations (466) can reduce 463 to: % 25.47/6.57 | (298) $false % 25.47/6.57 | % 25.47/6.57 |-The branch is then unsatisfiable % 25.47/6.57 |-Branch two: % 25.47/6.57 | (463) ~ (all_0_42_42 = e0) % 25.47/6.57 | (841) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_59_59 = e0 % 25.47/6.57 | % 25.47/6.57 +-Applying beta-rule and splitting (244), into two cases. % 25.47/6.57 |-Branch one: % 25.47/6.57 | (743) all_0_48_48 = e2 % 25.47/6.57 | % 25.47/6.57 | Combining equations (687,743) yields a new equation: % 25.47/6.57 | (408) e4 = e2 % 25.47/6.57 | % 25.47/6.57 | Simplifying 408 yields: % 25.47/6.57 | (409) e4 = e2 % 25.47/6.57 | % 25.47/6.57 | Equations (409) can reduce 46 to: % 25.47/6.57 | (298) $false % 25.47/6.57 | % 25.47/6.57 |-The branch is then unsatisfiable % 25.47/6.57 |-Branch two: % 25.47/6.57 | (363) ~ (all_0_48_48 = e2) % 25.47/6.57 | (927) all_0_52_52 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 25.47/6.57 | % 25.47/6.57 +-Applying beta-rule and splitting (927), into two cases. % 25.47/6.57 |-Branch one: % 25.47/6.57 | (938) all_0_52_52 = e2 % 25.47/6.57 | % 25.47/6.57 | Equations (938) can reduce 44 to: % 25.47/6.57 | (86) ~ (all_0_49_49 = e2) % 25.47/6.57 | % 25.47/6.57 | Equations (938) can reduce 695 to: % 25.47/6.57 | (399) ~ (e4 = e2) % 25.47/6.57 | % 25.47/6.57 | Simplifying 399 yields: % 25.47/6.57 | (46) ~ (e4 = e2) % 25.47/6.57 | % 25.47/6.57 | Equations (938) can reduce 304 to: % 25.47/6.57 | (139) ~ (e2 = e0) % 25.47/6.57 | % 25.47/6.57 | From (938) and (49) follows: % 25.47/6.58 | (3794) op(e2, e2) = all_0_23_23 % 25.47/6.58 | % 25.47/6.58 +-Applying beta-rule and splitting (841), into two cases. % 25.47/6.58 |-Branch one: % 25.47/6.58 | (525) all_0_47_47 = e0 % 25.47/6.58 | % 25.47/6.58 | Combining equations (368,525) yields a new equation: % 25.47/6.58 | (568) e2 = e0 % 25.47/6.58 | % 25.47/6.58 | Simplifying 568 yields: % 25.47/6.58 | (569) e2 = e0 % 25.47/6.58 | % 25.47/6.58 | Equations (569) can reduce 139 to: % 25.47/6.58 | (298) $false % 25.47/6.58 | % 25.47/6.58 |-The branch is then unsatisfiable % 25.47/6.58 |-Branch two: % 25.47/6.58 | (589) ~ (all_0_47_47 = e0) % 25.47/6.58 | (2624) all_0_51_51 = e0 | all_0_59_59 = e0 % 25.47/6.58 | % 25.47/6.58 +-Applying beta-rule and splitting (2624), into two cases. % 25.47/6.58 |-Branch one: % 25.47/6.58 | (1730) all_0_51_51 = e0 % 25.47/6.58 | % 25.47/6.58 | Combining equations (1730,1704) yields a new equation: % 25.47/6.58 | (297) e1 = e0 % 25.47/6.58 | % 25.47/6.58 | Equations (297) can reduce 231 to: % 25.47/6.58 | (298) $false % 25.47/6.58 | % 25.47/6.58 |-The branch is then unsatisfiable % 25.47/6.58 |-Branch two: % 25.47/6.58 | (1871) ~ (all_0_51_51 = e0) % 25.47/6.58 | (2627) all_0_59_59 = e0 % 25.47/6.58 | % 25.47/6.58 | Equations (2627) can reduce 118 to: % 25.47/6.58 | (463) ~ (all_0_42_42 = e0) % 25.47/6.58 | % 25.47/6.58 | Equations (2627) can reduce 99 to: % 25.47/6.58 | (306) ~ (all_0_56_56 = e0) % 25.47/6.58 | % 25.47/6.58 | Equations (2627) can reduce 123 to: % 25.47/6.58 | (485) ~ (e4 = e0) % 25.47/6.58 | % 25.47/6.58 | Simplifying 485 yields: % 25.47/6.58 | (47) ~ (e4 = e0) % 25.47/6.58 | % 25.47/6.58 +-Applying beta-rule and splitting (54), into two cases. % 25.47/6.58 |-Branch one: % 25.47/6.58 | (500) all_0_44_44 = e0 % 25.47/6.58 | % 25.47/6.58 | Combining equations (892,500) yields a new equation: % 25.47/6.58 | (654) e3 = e0 % 25.47/6.58 | % 25.47/6.58 | Simplifying 654 yields: % 25.47/6.58 | (534) e3 = e0 % 25.47/6.58 | % 25.47/6.58 | Equations (534) can reduce 84 to: % 25.47/6.58 | (298) $false % 25.47/6.58 | % 25.47/6.58 |-The branch is then unsatisfiable % 25.47/6.58 |-Branch two: % 25.47/6.58 | (503) ~ (all_0_44_44 = e0) % 25.47/6.58 | (504) all_0_49_49 = e0 | all_0_56_56 = e0 % 25.47/6.58 | % 25.47/6.58 +-Applying beta-rule and splitting (251), into two cases. % 25.47/6.58 |-Branch one: % 25.47/6.58 | (469) all_0_42_42 = e3 % 25.47/6.58 | % 25.47/6.58 | Equations (469) can reduce 247 to: % 25.47/6.58 | (472) ~ (e4 = e3) % 25.47/6.58 | % 25.47/6.58 | Simplifying 472 yields: % 25.47/6.58 | (184) ~ (e4 = e3) % 25.47/6.58 | % 25.47/6.58 | Equations (469) can reduce 131 to: % 25.47/6.58 | (213) ~ (e3 = e2) % 25.47/6.58 | % 25.47/6.58 | Equations (469) can reduce 256 to: % 25.47/6.58 | (214) ~ (e3 = e1) % 25.47/6.58 | % 25.47/6.58 | Equations (469) can reduce 463 to: % 25.47/6.58 | (84) ~ (e3 = e0) % 25.47/6.58 | % 25.47/6.58 | From (469) and (19) follows: % 25.47/6.58 | (9642) op(e3, e4) = all_0_4_4 % 25.47/6.58 | % 25.47/6.58 +-Applying beta-rule and splitting (4), into two cases. % 25.47/6.58 |-Branch one: % 25.47/6.58 | (755) all_0_40_40 = e3 % 25.47/6.58 | % 25.47/6.58 | Combining equations (747,755) yields a new equation: % 25.47/6.58 | (420) e3 = e1 % 25.47/6.58 | % 25.47/6.58 | Equations (420) can reduce 214 to: % 25.47/6.58 | (298) $false % 25.47/6.58 | % 25.47/6.58 |-The branch is then unsatisfiable % 25.47/6.58 |-Branch two: % 25.47/6.58 | (425) ~ (all_0_40_40 = e3) % 25.47/6.58 | (1265) all_0_45_45 = e3 | all_0_54_54 = e3 | all_0_57_57 = e3 % 25.47/6.58 | % 25.47/6.58 +-Applying beta-rule and splitting (1265), into two cases. % 25.47/6.58 |-Branch one: % 25.47/6.58 | (1083) all_0_45_45 = e3 % 25.47/6.58 | % 25.47/6.58 | Combining equations (295,1083) yields a new equation: % 25.47/6.58 | (534) e3 = e0 % 25.47/6.58 | % 25.47/6.58 | Equations (534) can reduce 84 to: % 25.47/6.58 | (298) $false % 25.47/6.58 | % 25.47/6.58 |-The branch is then unsatisfiable % 25.47/6.58 |-Branch two: % 25.47/6.58 | (1087) ~ (all_0_45_45 = e3) % 25.47/6.58 | (1271) all_0_54_54 = e3 | all_0_57_57 = e3 % 25.47/6.58 | % 25.47/6.58 +-Applying beta-rule and splitting (1271), into two cases. % 25.47/6.58 |-Branch one: % 25.47/6.58 | (424) all_0_54_54 = e3 % 25.47/6.58 | % 25.47/6.58 | Combining equations (424,382) yields a new equation: % 25.47/6.58 | (877) e3 = e2 % 25.47/6.58 | % 25.47/6.58 | Simplifying 877 yields: % 25.47/6.58 | (567) e3 = e2 % 25.47/6.58 | % 25.47/6.58 | Equations (567) can reduce 213 to: % 25.47/6.58 | (298) $false % 25.47/6.58 | % 25.47/6.58 |-The branch is then unsatisfiable % 25.47/6.58 |-Branch two: % 25.47/6.58 | (875) ~ (all_0_54_54 = e3) % 25.47/6.58 | (902) all_0_57_57 = e3 % 25.47/6.58 | % 25.47/6.58 | From (902) and (3) follows: % 25.47/6.58 | (9659) op(e3, e0) = all_0_33_33 % 25.47/6.58 | % 25.47/6.58 | From (902) and (150) follows: % 25.47/6.58 | (1389) op(e0, e3) = e3 % 25.47/6.58 | % 25.47/6.58 +-Applying beta-rule and splitting (129), into two cases. % 25.47/6.58 |-Branch one: % 25.47/6.58 | (637) all_0_49_49 = e0 % 25.47/6.58 | % 25.47/6.58 | Equations (637) can reduce 189 to: % 25.47/6.58 | (660) ~ (all_0_50_50 = e0) % 25.47/6.58 | % 25.47/6.58 | Simplifying 660 yields: % 25.47/6.58 | (661) ~ (all_0_50_50 = e0) % 25.47/6.58 | % 25.47/6.58 | Equations (637) can reduce 86 to: % 25.47/6.58 | (782) ~ (e2 = e0) % 25.47/6.58 | % 25.47/6.58 | Simplifying 782 yields: % 25.47/6.58 | (139) ~ (e2 = e0) % 25.47/6.58 | % 25.47/6.58 | Equations (637) can reduce 329 to: % 25.47/6.58 | (526) ~ (e1 = e0) % 25.47/6.58 | % 25.47/6.58 | Simplifying 526 yields: % 25.47/6.58 | (231) ~ (e1 = e0) % 25.47/6.58 | % 25.47/6.58 | From (637) and (148) follows: % 25.47/6.58 | (8181) op(e0, e4) = all_0_18_18 % 25.47/6.58 | % 25.47/6.58 | From (637) and (159) follows: % 25.47/6.58 | (8520) op(e0, e2) = all_0_17_17 % 25.47/6.58 | % 25.47/6.58 +-Applying beta-rule and splitting (226), into two cases. % 25.47/6.58 |-Branch one: % 25.47/6.58 | (506) all_0_49_49 = e4 % 25.47/6.58 | % 25.47/6.58 | Combining equations (637,506) yields a new equation: % 25.47/6.58 | (481) e4 = e0 % 25.47/6.58 | % 25.47/6.58 | Equations (481) can reduce 47 to: % 25.47/6.58 | (298) $false % 25.47/6.58 | % 25.47/6.58 |-The branch is then unsatisfiable % 25.47/6.58 |-Branch two: % 25.47/6.58 | (497) ~ (all_0_49_49 = e4) % 25.47/6.58 | (509) all_0_50_50 = e4 | all_0_52_52 = e4 % 25.47/6.58 | % 25.47/6.58 +-Applying beta-rule and splitting (237), into two cases. % 25.47/6.58 |-Branch one: % 25.47/6.58 | (390) all_0_56_56 = e4 % 25.47/6.58 | % 25.47/6.58 | Equations (390) can reduce 26 to: % 25.47/6.58 | (46) ~ (e4 = e2) % 25.47/6.58 | % 25.47/6.58 | From (390) and (58) follows: % 25.47/6.58 | (4477) op(e4, e0) = all_0_31_31 % 25.47/6.58 | % 25.47/6.58 | From (390) and (48) follows: % 25.47/6.58 | (1387) op(e0, e4) = e4 % 25.47/6.58 | % 25.47/6.58 +-Applying beta-rule and splitting (509), into two cases. % 25.47/6.58 |-Branch one: % 25.47/6.58 | (523) all_0_50_50 = e4 % 25.47/6.58 | % 25.47/6.58 | From (523) and (41) follows: % 25.47/6.58 | (5620) op(e4, e3) = all_0_20_20 % 25.47/6.58 | % 25.47/6.58 | From (523) and (117) follows: % 25.47/6.58 | (8254) op(e4, e2) = all_0_19_19 % 25.47/6.58 | % 25.47/6.58 | From (523) and (207) follows: % 25.47/6.58 | (524) op(e2, e3) = e4 % 25.47/6.58 | % 25.47/6.58 | Instantiating formula (206) with e4, e3, all_0_20_20, all_0_15_15 and discharging atoms op(e4, e3) = all_0_15_15, op(e4, e3) = all_0_20_20, yields: % 25.47/6.58 | (9683) all_0_15_15 = all_0_20_20 % 25.47/6.58 | % 25.47/6.58 | Instantiating formula (206) with e4, e3, e1, all_0_15_15 and discharging atoms op(e4, e3) = all_0_15_15, op(e4, e3) = e1, yields: % 25.47/6.58 | (9137) all_0_15_15 = e1 % 25.47/6.58 | % 25.47/6.58 | Instantiating formula (206) with e4, e2, all_0_19_19, e4 and discharging atoms op(e4, e2) = all_0_19_19, op(e4, e2) = e4, yields: % 25.47/6.58 | (8258) all_0_19_19 = e4 % 25.47/6.58 | % 25.47/6.58 | Instantiating formula (206) with e4, e0, all_0_16_16, e0 and discharging atoms op(e4, e0) = all_0_16_16, op(e4, e0) = e0, yields: % 25.47/6.58 | (9686) all_0_16_16 = e0 % 25.47/6.58 | % 25.47/6.58 | Instantiating formula (206) with e4, e0, all_0_31_31, all_0_16_16 and discharging atoms op(e4, e0) = all_0_16_16, op(e4, e0) = all_0_31_31, yields: % 25.47/6.58 | (8568) all_0_16_16 = all_0_31_31 % 25.47/6.58 | % 25.47/6.58 | Instantiating formula (206) with e3, e4, all_0_9_9, all_0_4_4 and discharging atoms op(e3, e4) = all_0_4_4, op(e3, e4) = all_0_9_9, yields: % 25.47/6.58 | (9688) all_0_4_4 = all_0_9_9 % 25.47/6.58 | % 25.47/6.58 | Instantiating formula (206) with e3, e4, e3, all_0_4_4 and discharging atoms op(e3, e4) = all_0_4_4, op(e3, e4) = e3, yields: % 25.47/6.58 | (9689) all_0_4_4 = e3 % 25.47/6.58 | % 25.47/6.58 | Instantiating formula (206) with e3, e0, e4, all_0_33_33 and discharging atoms op(e3, e0) = all_0_33_33, op(e3, e0) = e4, yields: % 25.47/6.58 | (1755) all_0_33_33 = e4 % 25.47/6.58 | % 25.47/6.58 | Instantiating formula (206) with e2, e3, e4, all_0_13_13 and discharging atoms op(e2, e3) = all_0_13_13, op(e2, e3) = e4, yields: % 25.47/6.58 | (9691) all_0_13_13 = e4 % 25.47/6.58 | % 25.47/6.58 | Instantiating formula (206) with e2, e2, all_0_23_23, e3 and discharging atoms op(e2, e2) = all_0_23_23, op(e2, e2) = e3, yields: % 25.47/6.58 | (3860) all_0_23_23 = e3 % 25.47/6.58 | % 25.47/6.58 | Instantiating formula (206) with e2, e1, e1, all_0_14_14 and discharging atoms op(e2, e1) = all_0_14_14, op(e2, e1) = e1, yields: % 25.47/6.58 | (5192) all_0_14_14 = e1 % 25.47/6.58 | % 25.47/6.58 | Instantiating formula (206) with e1, e3, all_0_1_1, e2 and discharging atoms op(e1, e3) = all_0_1_1, op(e1, e3) = e2, yields: % 25.47/6.58 | (9694) all_0_1_1 = e2 % 25.47/6.58 | % 25.47/6.58 | Instantiating formula (206) with e0, e4, e4, all_0_18_18 and discharging atoms op(e0, e4) = all_0_18_18, op(e0, e4) = e4, yields: % 25.47/6.58 | (8263) all_0_18_18 = e4 % 25.47/6.58 | % 25.47/6.58 | Instantiating formula (206) with e0, e2, all_0_17_17, e2 and discharging atoms op(e0, e2) = all_0_17_17, op(e0, e2) = e2, yields: % 25.47/6.58 | (9141) all_0_17_17 = e2 % 25.47/6.58 | % 25.47/6.58 | Combining equations (9688,9689) yields a new equation: % 25.47/6.58 | (9697) all_0_9_9 = e3 % 25.47/6.58 | % 25.47/6.58 | Simplifying 9697 yields: % 25.47/6.58 | (2277) all_0_9_9 = e3 % 25.47/6.58 | % 25.47/6.58 | Combining equations (9683,9137) yields a new equation: % 25.47/6.58 | (9699) all_0_20_20 = e1 % 25.47/6.58 | % 25.47/6.58 | Simplifying 9699 yields: % 25.47/6.58 | (9700) all_0_20_20 = e1 % 25.47/6.58 | % 25.47/6.59 | Combining equations (9686,8568) yields a new equation: % 25.47/6.59 | (9701) all_0_31_31 = e0 % 25.47/6.59 | % 25.47/6.59 | From (9700) and (5620) follows: % 25.47/6.59 | (9570) op(e4, e3) = e1 % 25.47/6.59 | % 25.47/6.59 | From (8258) and (8254) follows: % 25.47/6.59 | (576) op(e4, e2) = e4 % 25.47/6.59 | % 25.47/6.59 | From (9701) and (4477) follows: % 25.47/6.59 | (559) op(e4, e0) = e0 % 25.47/6.59 | % 25.47/6.59 | From (2277) and (2275) follows: % 25.47/6.59 | (561) op(e3, e4) = e3 % 25.47/6.59 | % 25.47/6.59 | From (1755) and (9659) follows: % 25.47/6.59 | (2323) op(e3, e0) = e4 % 25.47/6.59 | % 25.47/6.59 | From (9691) and (5095) follows: % 25.47/6.59 | (524) op(e2, e3) = e4 % 25.47/6.59 | % 25.47/6.59 | From (3860) and (3794) follows: % 25.47/6.59 | (72) op(e2, e2) = e3 % 25.47/6.59 | % 25.47/6.59 | From (5192) and (5096) follows: % 25.47/6.59 | (825) op(e2, e1) = e1 % 25.47/6.59 | % 25.47/6.59 | From (9694) and (9569) follows: % 25.47/6.59 | (1020) op(e1, e3) = e2 % 25.47/6.59 | % 25.47/6.59 | From (8263) and (8181) follows: % 25.47/6.59 | (1387) op(e0, e4) = e4 % 25.47/6.59 | % 25.47/6.59 | From (9141) and (8520) follows: % 25.47/6.59 | (981) op(e0, e2) = e2 % 25.47/6.59 | % 25.47/6.59 +-Applying beta-rule and splitting (55), into two cases. % 25.47/6.59 |-Branch one: % 25.47/6.59 | (529) unit = e1 % 25.47/6.59 | % 25.47/6.59 | From (529) and (143) follows: % 25.47/6.59 | (429) op(e1, e3) = e3 % 25.47/6.59 | % 25.47/6.59 | From (529) and (60) follows: % 25.47/6.59 | (1391) op(e1, e0) = e0 % 25.47/6.59 | % 25.47/6.59 | From (529) and (66) follows: % 25.47/6.59 | (406) op(e2, e1) = e2 % 25.47/6.59 | % 25.47/6.59 | Instantiating formula (206) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 25.47/6.59 | (544) e2 = e1 % 25.47/6.59 | % 25.47/6.59 | Instantiating formula (206) with e1, e3, e3, e2 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e2, yields: % 25.47/6.59 | (567) e3 = e2 % 25.47/6.59 | % 25.47/6.59 | Instantiating formula (206) with e1, e0, e0, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e0, yields: % 25.47/6.59 | (534) e3 = e0 % 25.47/6.59 | % 25.47/6.59 | Combining equations (567,534) yields a new equation: % 25.47/6.59 | (568) e2 = e0 % 25.47/6.59 | % 25.47/6.59 | Simplifying 568 yields: % 25.47/6.59 | (569) e2 = e0 % 25.47/6.59 | % 25.47/6.59 | Combining equations (544,569) yields a new equation: % 25.47/6.59 | (296) e1 = e0 % 25.47/6.59 | % 25.47/6.59 | Simplifying 296 yields: % 25.47/6.59 | (297) e1 = e0 % 25.47/6.59 | % 25.47/6.59 | Equations (297) can reduce 231 to: % 25.47/6.59 | (298) $false % 25.47/6.59 | % 25.47/6.59 |-The branch is then unsatisfiable % 25.47/6.59 |-Branch two: % 25.47/6.59 | (540) ~ (unit = e1) % 25.47/6.59 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 25.47/6.59 | % 25.47/6.59 +-Applying beta-rule and splitting (541), into two cases. % 25.47/6.59 |-Branch one: % 25.47/6.59 | (542) unit = e0 % 25.47/6.59 | % 25.47/6.59 | Equations (542) can reduce 540 to: % 25.47/6.59 | (526) ~ (e1 = e0) % 25.47/6.59 | % 25.47/6.59 | Simplifying 526 yields: % 25.47/6.59 | (231) ~ (e1 = e0) % 25.47/6.59 | % 25.47/6.59 | From (542) and (243) follows: % 25.47/6.59 | (522) op(e4, e0) = e4 % 25.47/6.59 | % 25.47/6.59 | From (542) and (74) follows: % 25.47/6.59 | (494) op(e3, e0) = e3 % 25.47/6.59 | % 25.47/6.59 | From (542) and (221) follows: % 25.47/6.59 | (543) op(e1, e0) = e1 % 25.47/6.59 | % 25.47/6.59 | Instantiating formula (206) with e4, e0, e4, e0 and discharging atoms op(e4, e0) = e4, op(e4, e0) = e0, yields: % 25.47/6.59 | (481) e4 = e0 % 25.47/6.59 | % 25.47/6.59 | Instantiating formula (206) with e3, e0, e3, e4 and discharging atoms op(e3, e0) = e4, op(e3, e0) = e3, yields: % 25.47/6.59 | (392) e4 = e3 % 25.47/6.59 | % 25.47/6.59 | Instantiating formula (206) with e1, e0, e1, e3 and discharging atoms op(e1, e0) = e3, op(e1, e0) = e1, yields: % 25.47/6.59 | (420) e3 = e1 % 25.47/6.59 | % 25.47/6.59 | Combining equations (481,392) yields a new equation: % 25.47/6.59 | (534) e3 = e0 % 25.47/6.59 | % 25.47/6.59 | Combining equations (534,420) yields a new equation: % 25.47/6.59 | (297) e1 = e0 % 25.47/6.59 | % 25.47/6.59 | Equations (297) can reduce 231 to: % 25.47/6.59 | (298) $false % 25.47/6.59 | % 25.47/6.59 |-The branch is then unsatisfiable % 25.47/6.59 |-Branch two: % 25.47/6.59 | (546) ~ (unit = e0) % 25.47/6.59 | (547) unit = e4 | unit = e3 | unit = e2 % 25.47/6.59 | % 25.47/6.59 +-Applying beta-rule and splitting (547), into two cases. % 25.47/6.59 |-Branch one: % 25.47/6.59 | (548) unit = e3 % 25.47/6.59 | % 25.47/6.59 | From (548) and (162) follows: % 25.47/6.59 | (499) op(e3, e4) = e4 % 25.47/6.59 | % 25.47/6.59 | From (548) and (243) follows: % 25.47/6.59 | (763) op(e4, e3) = e4 % 25.47/6.59 | % 25.47/6.59 | From (548) and (66) follows: % 25.47/6.59 | (1415) op(e2, e3) = e2 % 25.47/6.59 | % 25.47/6.59 | From (548) and (67) follows: % 25.47/6.59 | (803) op(e0, e3) = e0 % 25.47/6.59 | % 25.47/6.59 | Instantiating formula (206) with e4, e3, e4, e1 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e1, yields: % 25.47/6.59 | (535) e4 = e1 % 25.47/6.59 | % 25.47/6.59 | Instantiating formula (206) with e3, e4, e4, e3 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e3, yields: % 25.47/6.59 | (392) e4 = e3 % 25.47/6.59 | % 25.47/6.59 | Instantiating formula (206) with e2, e3, e2, e4 and discharging atoms op(e2, e3) = e4, op(e2, e3) = e2, yields: % 25.47/6.59 | (409) e4 = e2 % 25.47/6.59 | % 25.47/6.59 | Instantiating formula (206) with e0, e3, e0, e3 and discharging atoms op(e0, e3) = e3, op(e0, e3) = e0, yields: % 25.47/6.59 | (534) e3 = e0 % 25.47/6.59 | % 25.47/6.59 | Combining equations (392,409) yields a new equation: % 25.47/6.59 | (877) e3 = e2 % 25.47/6.59 | % 25.47/6.59 | Simplifying 877 yields: % 25.47/6.59 | (567) e3 = e2 % 25.47/6.59 | % 25.47/6.59 | Combining equations (535,409) yields a new equation: % 25.47/6.59 | (544) e2 = e1 % 25.47/6.59 | % 25.47/6.59 | Combining equations (567,534) yields a new equation: % 25.47/6.59 | (568) e2 = e0 % 25.47/6.59 | % 25.47/6.59 | Simplifying 568 yields: % 25.47/6.59 | (569) e2 = e0 % 25.47/6.59 | % 25.47/6.59 | Combining equations (569,544) yields a new equation: % 25.47/6.59 | (297) e1 = e0 % 25.47/6.59 | % 25.47/6.59 | Equations (297) can reduce 231 to: % 25.47/6.59 | (298) $false % 25.47/6.59 | % 25.47/6.59 |-The branch is then unsatisfiable % 25.47/6.59 |-Branch two: % 25.47/6.59 | (555) ~ (unit = e3) % 25.47/6.59 | (556) unit = e4 | unit = e2 % 25.47/6.59 | % 25.47/6.59 +-Applying beta-rule and splitting (556), into two cases. % 25.47/6.59 |-Branch one: % 25.47/6.59 | (557) unit = e4 % 25.47/6.59 | % 25.47/6.59 | From (557) and (24) follows: % 25.47/6.59 | (558) op(e4, e2) = e2 % 25.47/6.59 | % 25.47/6.59 | From (557) and (67) follows: % 25.47/6.59 | (812) op(e0, e4) = e0 % 25.47/6.59 | % 25.47/6.59 | Instantiating formula (206) with e4, e2, e2, e4 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 25.47/6.59 | (409) e4 = e2 % 25.47/6.59 | % 25.47/6.59 | Instantiating formula (206) with e0, e4, e0, e4 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e0, yields: % 25.47/6.59 | (481) e4 = e0 % 25.47/6.59 | % 25.47/6.59 | Combining equations (409,481) yields a new equation: % 25.47/6.59 | (568) e2 = e0 % 25.47/6.59 | % 25.47/6.59 | Simplifying 568 yields: % 25.47/6.59 | (569) e2 = e0 % 25.47/6.59 | % 25.53/6.59 | Equations (569) can reduce 139 to: % 25.53/6.59 | (298) $false % 25.53/6.59 | % 25.53/6.59 |-The branch is then unsatisfiable % 25.53/6.59 |-Branch two: % 25.53/6.59 | (573) ~ (unit = e4) % 25.53/6.59 | (574) unit = e2 % 25.53/6.59 | % 25.53/6.59 | From (574) and (74) follows: % 25.53/6.59 | (1207) op(e3, e2) = e3 % 25.53/6.59 | % 25.53/6.59 | From (574) and (66) follows: % 25.53/6.59 | (577) op(e2, e2) = e2 % 25.53/6.59 | % 25.53/6.59 | From (574) and (67) follows: % 25.53/6.59 | (578) op(e0, e2) = e0 % 25.53/6.59 | % 25.53/6.59 | Instantiating formula (206) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 25.53/6.59 | (420) e3 = e1 % 25.53/6.59 | % 25.53/6.59 | Instantiating formula (206) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 25.53/6.59 | (567) e3 = e2 % 25.53/6.59 | % 25.53/6.59 | Instantiating formula (206) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 25.53/6.59 | (569) e2 = e0 % 25.53/6.59 | % 25.53/6.59 | Combining equations (567,420) yields a new equation: % 25.53/6.59 | (887) e2 = e1 % 25.53/6.59 | % 25.53/6.59 | Simplifying 887 yields: % 25.53/6.59 | (544) e2 = e1 % 25.53/6.59 | % 25.53/6.59 | Combining equations (544,569) yields a new equation: % 25.53/6.59 | (296) e1 = e0 % 25.53/6.59 | % 25.53/6.59 | Simplifying 296 yields: % 25.53/6.59 | (297) e1 = e0 % 25.53/6.59 | % 25.53/6.59 | Equations (297) can reduce 231 to: % 25.53/6.59 | (298) $false % 25.53/6.59 | % 25.53/6.59 |-The branch is then unsatisfiable % 25.53/6.59 |-Branch two: % 25.53/6.59 | (596) ~ (all_0_50_50 = e4) % 25.53/6.59 | (597) all_0_52_52 = e4 % 25.53/6.59 | % 25.53/6.59 | Combining equations (938,597) yields a new equation: % 25.53/6.59 | (409) e4 = e2 % 25.53/6.59 | % 25.53/6.59 | Equations (409) can reduce 46 to: % 25.53/6.59 | (298) $false % 25.53/6.59 | % 25.53/6.59 |-The branch is then unsatisfiable % 25.53/6.59 |-Branch two: % 25.53/6.59 | (394) ~ (all_0_56_56 = e4) % 25.53/6.59 | (395) all_0_57_57 = e4 | all_0_58_58 = e4 | all_0_60_60 = e4 % 25.53/6.59 | % 25.53/6.59 +-Applying beta-rule and splitting (63), into two cases. % 25.53/6.59 |-Branch one: % 25.53/6.59 | (495) all_0_44_44 = e4 % 25.53/6.59 | % 25.53/6.59 | Combining equations (892,495) yields a new equation: % 25.53/6.59 | (392) e4 = e3 % 25.53/6.59 | % 25.53/6.59 | Equations (392) can reduce 184 to: % 25.53/6.59 | (298) $false % 25.53/6.59 | % 25.53/6.59 |-The branch is then unsatisfiable % 25.53/6.59 |-Branch two: % 25.53/6.59 | (610) ~ (all_0_44_44 = e4) % 25.53/6.59 | (615) all_0_49_49 = e4 | all_0_56_56 = e4 % 25.53/6.59 | % 25.53/6.59 +-Applying beta-rule and splitting (509), into two cases. % 25.53/6.59 |-Branch one: % 25.53/6.59 | (523) all_0_50_50 = e4 % 25.53/6.59 | % 25.53/6.59 | Equations (523) can reduce 661 to: % 25.53/6.59 | (47) ~ (e4 = e0) % 25.53/6.59 | % 25.53/6.59 +-Applying beta-rule and splitting (615), into two cases. % 25.53/6.59 |-Branch one: % 25.53/6.59 | (506) all_0_49_49 = e4 % 25.53/6.59 | % 25.53/6.59 | Combining equations (637,506) yields a new equation: % 25.53/6.59 | (481) e4 = e0 % 25.53/6.59 | % 25.53/6.59 | Equations (481) can reduce 47 to: % 25.53/6.59 | (298) $false % 25.53/6.59 | % 25.53/6.59 |-The branch is then unsatisfiable % 25.53/6.59 |-Branch two: % 25.53/6.59 | (497) ~ (all_0_49_49 = e4) % 25.53/6.59 | (390) all_0_56_56 = e4 % 25.53/6.59 | % 25.53/6.59 | Equations (390) can reduce 394 to: % 25.53/6.59 | (298) $false % 25.53/6.59 | % 25.53/6.59 |-The branch is then unsatisfiable % 25.53/6.59 |-Branch two: % 25.53/6.59 | (596) ~ (all_0_50_50 = e4) % 25.53/6.59 | (597) all_0_52_52 = e4 % 25.53/6.59 | % 25.53/6.59 | Combining equations (938,597) yields a new equation: % 25.53/6.59 | (409) e4 = e2 % 25.53/6.59 | % 25.53/6.59 | Equations (409) can reduce 46 to: % 25.53/6.59 | (298) $false % 25.53/6.59 | % 25.53/6.59 |-The branch is then unsatisfiable % 25.53/6.59 |-Branch two: % 25.53/6.59 | (652) ~ (all_0_49_49 = e0) % 25.53/6.59 | (682) all_0_50_50 = e0 | all_0_51_51 = e0 | all_0_52_52 = e0 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (504), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (637) all_0_49_49 = e0 % 25.53/6.60 | % 25.53/6.60 | Equations (637) can reduce 652 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (652) ~ (all_0_49_49 = e0) % 25.53/6.60 | (653) all_0_56_56 = e0 % 25.53/6.60 | % 25.53/6.60 | Equations (653) can reduce 306 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (847) ~ (all_0_42_42 = e3) % 25.53/6.60 | (1512) all_0_47_47 = e3 | all_0_59_59 = e3 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (456), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (466) all_0_42_42 = e0 % 25.53/6.60 | % 25.53/6.60 | Equations (466) can reduce 463 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (463) ~ (all_0_42_42 = e0) % 25.53/6.60 | (469) all_0_42_42 = e3 % 25.53/6.60 | % 25.53/6.60 | Equations (469) can reduce 847 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (941) ~ (all_0_52_52 = e2) % 25.53/6.60 | (942) all_0_55_55 = e2 | all_0_60_60 = e2 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (942), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (385) all_0_55_55 = e2 % 25.53/6.60 | % 25.53/6.60 | Combining equations (385,876) yields a new equation: % 25.53/6.60 | (567) e3 = e2 % 25.53/6.60 | % 25.53/6.60 | Equations (567) can reduce 213 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (968) ~ (all_0_55_55 = e2) % 25.53/6.60 | (964) all_0_60_60 = e2 % 25.53/6.60 | % 25.53/6.60 | Combining equations (2157,964) yields a new equation: % 25.53/6.60 | (544) e2 = e1 % 25.53/6.60 | % 25.53/6.60 | Equations (544) can reduce 134 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (914) ~ (all_0_44_44 = e3) % 25.53/6.60 | (1082) all_0_45_45 = e3 | all_0_47_47 = e3 | all_0_48_48 = e3 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (1082), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (1083) all_0_45_45 = e3 % 25.53/6.60 | % 25.53/6.60 | Combining equations (295,1083) yields a new equation: % 25.53/6.60 | (534) e3 = e0 % 25.53/6.60 | % 25.53/6.60 | Equations (534) can reduce 84 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (1087) ~ (all_0_45_45 = e3) % 25.53/6.60 | (1088) all_0_47_47 = e3 | all_0_48_48 = e3 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (1088), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (591) all_0_47_47 = e3 % 25.53/6.60 | % 25.53/6.60 | Combining equations (368,591) yields a new equation: % 25.53/6.60 | (567) e3 = e2 % 25.53/6.60 | % 25.53/6.60 | Equations (567) can reduce 213 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (493) ~ (all_0_47_47 = e3) % 25.53/6.60 | (491) all_0_48_48 = e3 % 25.53/6.60 | % 25.53/6.60 | Equations (491) can reduce 711 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (254) ~ (all_0_40_40 = e1) % 25.53/6.60 | (8746) all_0_41_41 = e1 | all_0_42_42 = e1 | all_0_43_43 = e1 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (163), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (892) all_0_44_44 = e3 % 25.53/6.60 | % 25.53/6.60 | Equations (892) can reduce 195 to: % 25.53/6.60 | (1327) ~ (all_0_56_56 = e3) % 25.53/6.60 | % 25.53/6.60 | Simplifying 1327 yields: % 25.53/6.60 | (890) ~ (all_0_56_56 = e3) % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (89), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (495) all_0_44_44 = e4 % 25.53/6.60 | % 25.53/6.60 | Combining equations (892,495) yields a new equation: % 25.53/6.60 | (392) e4 = e3 % 25.53/6.60 | % 25.53/6.60 | Equations (392) can reduce 184 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (610) ~ (all_0_44_44 = e4) % 25.53/6.60 | (611) all_0_45_45 = e4 | all_0_46_46 = e4 | all_0_48_48 = e4 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (611), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (1221) all_0_45_45 = e4 % 25.53/6.60 | % 25.53/6.60 | Combining equations (295,1221) yields a new equation: % 25.53/6.60 | (481) e4 = e0 % 25.53/6.60 | % 25.53/6.60 | Equations (481) can reduce 47 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (1224) ~ (all_0_45_45 = e4) % 25.53/6.60 | (2314) all_0_46_46 = e4 | all_0_48_48 = e4 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (2314), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (933) all_0_46_46 = e4 % 25.53/6.60 | % 25.53/6.60 | Combining equations (982,933) yields a new equation: % 25.53/6.60 | (535) e4 = e1 % 25.53/6.60 | % 25.53/6.60 | Equations (535) can reduce 115 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (936) ~ (all_0_46_46 = e4) % 25.53/6.60 | (687) all_0_48_48 = e4 % 25.53/6.60 | % 25.53/6.60 | Equations (687) can reduce 88 to: % 25.53/6.60 | (2335) ~ (all_0_52_52 = e4) % 25.53/6.60 | % 25.53/6.60 | Simplifying 2335 yields: % 25.53/6.60 | (695) ~ (all_0_52_52 = e4) % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (101), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (466) all_0_42_42 = e0 % 25.53/6.60 | % 25.53/6.60 | Equations (466) can reduce 463 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (463) ~ (all_0_42_42 = e0) % 25.53/6.60 | (841) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_59_59 = e0 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (841), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (525) all_0_47_47 = e0 % 25.53/6.60 | % 25.53/6.60 | Combining equations (525,368) yields a new equation: % 25.53/6.60 | (569) e2 = e0 % 25.53/6.60 | % 25.53/6.60 | Equations (569) can reduce 139 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (589) ~ (all_0_47_47 = e0) % 25.53/6.60 | (2624) all_0_51_51 = e0 | all_0_59_59 = e0 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (2624), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (1730) all_0_51_51 = e0 % 25.53/6.60 | % 25.53/6.60 | Combining equations (1730,1704) yields a new equation: % 25.53/6.60 | (297) e1 = e0 % 25.53/6.60 | % 25.53/6.60 | Equations (297) can reduce 231 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (1871) ~ (all_0_51_51 = e0) % 25.53/6.60 | (2627) all_0_59_59 = e0 % 25.53/6.60 | % 25.53/6.60 | Equations (2627) can reduce 123 to: % 25.53/6.60 | (485) ~ (e4 = e0) % 25.53/6.60 | % 25.53/6.60 | Simplifying 485 yields: % 25.53/6.60 | (47) ~ (e4 = e0) % 25.53/6.60 | % 25.53/6.60 | Equations (2627) can reduce 2156 to: % 25.53/6.60 | (526) ~ (e1 = e0) % 25.53/6.60 | % 25.53/6.60 | Simplifying 526 yields: % 25.53/6.60 | (231) ~ (e1 = e0) % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (109), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (747) all_0_40_40 = e1 % 25.53/6.60 | % 25.53/6.60 | Equations (747) can reduce 254 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (254) ~ (all_0_40_40 = e1) % 25.53/6.60 | (750) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e0 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (129), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (637) all_0_49_49 = e0 % 25.53/6.60 | % 25.53/6.60 | Equations (637) can reduce 106 to: % 25.53/6.60 | (1073) ~ (all_0_56_56 = e0) % 25.53/6.60 | % 25.53/6.60 | Simplifying 1073 yields: % 25.53/6.60 | (306) ~ (all_0_56_56 = e0) % 25.53/6.60 | % 25.53/6.60 | Equations (637) can reduce 329 to: % 25.53/6.60 | (526) ~ (e1 = e0) % 25.53/6.60 | % 25.53/6.60 | Simplifying 526 yields: % 25.53/6.60 | (231) ~ (e1 = e0) % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (226), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (506) all_0_49_49 = e4 % 25.53/6.60 | % 25.53/6.60 | Combining equations (637,506) yields a new equation: % 25.53/6.60 | (481) e4 = e0 % 25.53/6.60 | % 25.53/6.60 | Equations (481) can reduce 47 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (497) ~ (all_0_49_49 = e4) % 25.53/6.60 | (509) all_0_50_50 = e4 | all_0_52_52 = e4 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (509), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (523) all_0_50_50 = e4 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (237), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (390) all_0_56_56 = e4 % 25.53/6.60 | % 25.53/6.60 | Equations (390) can reduce 279 to: % 25.53/6.60 | (115) ~ (e4 = e1) % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (113), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (747) all_0_40_40 = e1 % 25.53/6.60 | % 25.53/6.60 | Equations (747) can reduce 254 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (254) ~ (all_0_40_40 = e1) % 25.53/6.60 | (2196) all_0_45_45 = e1 | all_0_50_50 = e1 | all_0_54_54 = e1 | all_0_57_57 = e1 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (239), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (322) all_0_57_57 = e1 % 25.53/6.60 | % 25.53/6.60 | Equations (322) can reduce 294 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (294) ~ (all_0_57_57 = e1) % 25.53/6.60 | (2344) all_0_57_57 = e4 | all_0_57_57 = e3 | all_0_57_57 = e2 | all_0_57_57 = e0 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (2196), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (284) all_0_45_45 = e1 % 25.53/6.60 | % 25.53/6.60 | Combining equations (295,284) yields a new equation: % 25.53/6.60 | (297) e1 = e0 % 25.53/6.60 | % 25.53/6.60 | Equations (297) can reduce 231 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (2170) ~ (all_0_45_45 = e1) % 25.53/6.60 | (2212) all_0_50_50 = e1 | all_0_54_54 = e1 | all_0_57_57 = e1 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (2212), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (771) all_0_50_50 = e1 % 25.53/6.60 | % 25.53/6.60 | Combining equations (523,771) yields a new equation: % 25.53/6.60 | (598) e4 = e1 % 25.53/6.60 | % 25.53/6.60 | Simplifying 598 yields: % 25.53/6.60 | (535) e4 = e1 % 25.53/6.60 | % 25.53/6.60 | Equations (535) can reduce 115 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (330) ~ (all_0_50_50 = e1) % 25.53/6.60 | (3685) all_0_54_54 = e1 | all_0_57_57 = e1 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (3685), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (1669) all_0_54_54 = e1 % 25.53/6.60 | % 25.53/6.60 | Combining equations (1669,382) yields a new equation: % 25.53/6.60 | (544) e2 = e1 % 25.53/6.60 | % 25.53/6.60 | Equations (544) can reduce 134 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (275) ~ (all_0_54_54 = e1) % 25.53/6.60 | (322) all_0_57_57 = e1 % 25.53/6.60 | % 25.53/6.60 | Equations (322) can reduce 294 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (394) ~ (all_0_56_56 = e4) % 25.53/6.60 | (395) all_0_57_57 = e4 | all_0_58_58 = e4 | all_0_60_60 = e4 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (70), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (314) all_0_56_56 = e1 % 25.53/6.60 | % 25.53/6.60 | Equations (314) can reduce 279 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (279) ~ (all_0_56_56 = e1) % 25.53/6.60 | (1499) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (1499), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (653) all_0_56_56 = e0 % 25.53/6.60 | % 25.53/6.60 | Equations (653) can reduce 306 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (306) ~ (all_0_56_56 = e0) % 25.53/6.60 | (1503) all_0_56_56 = e4 | all_0_56_56 = e3 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (1503), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (376) all_0_56_56 = e3 % 25.53/6.60 | % 25.53/6.60 | Equations (376) can reduce 890 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (890) ~ (all_0_56_56 = e3) % 25.53/6.60 | (390) all_0_56_56 = e4 % 25.53/6.60 | % 25.53/6.60 | Equations (390) can reduce 394 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (596) ~ (all_0_50_50 = e4) % 25.53/6.60 | (597) all_0_52_52 = e4 % 25.53/6.60 | % 25.53/6.60 | Equations (597) can reduce 695 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (652) ~ (all_0_49_49 = e0) % 25.53/6.60 | (682) all_0_50_50 = e0 | all_0_51_51 = e0 | all_0_52_52 = e0 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (682), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (781) all_0_50_50 = e0 % 25.53/6.60 | % 25.53/6.60 | Equations (781) can reduce 661 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (661) ~ (all_0_50_50 = e0) % 25.53/6.60 | (2072) all_0_51_51 = e0 | all_0_52_52 = e0 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (2072), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (1730) all_0_51_51 = e0 % 25.53/6.60 | % 25.53/6.60 | Combining equations (1704,1730) yields a new equation: % 25.53/6.60 | (296) e1 = e0 % 25.53/6.60 | % 25.53/6.60 | Simplifying 296 yields: % 25.53/6.60 | (297) e1 = e0 % 25.53/6.60 | % 25.53/6.60 | Equations (297) can reduce 231 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (1871) ~ (all_0_51_51 = e0) % 25.53/6.60 | (2078) all_0_52_52 = e0 % 25.53/6.60 | % 25.53/6.60 | Equations (2078) can reduce 304 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (914) ~ (all_0_44_44 = e3) % 25.53/6.60 | (1082) all_0_45_45 = e3 | all_0_47_47 = e3 | all_0_48_48 = e3 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (1082), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (1083) all_0_45_45 = e3 % 25.53/6.60 | % 25.53/6.60 | Combining equations (1083,295) yields a new equation: % 25.53/6.60 | (654) e3 = e0 % 25.53/6.60 | % 25.53/6.60 | Simplifying 654 yields: % 25.53/6.60 | (534) e3 = e0 % 25.53/6.60 | % 25.53/6.60 | Equations (534) can reduce 84 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (1087) ~ (all_0_45_45 = e3) % 25.53/6.60 | (1088) all_0_47_47 = e3 | all_0_48_48 = e3 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (1088), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (591) all_0_47_47 = e3 % 25.53/6.60 | % 25.53/6.60 | Combining equations (368,591) yields a new equation: % 25.53/6.60 | (567) e3 = e2 % 25.53/6.60 | % 25.53/6.60 | Equations (567) can reduce 213 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (493) ~ (all_0_47_47 = e3) % 25.53/6.60 | (491) all_0_48_48 = e3 % 25.53/6.60 | % 25.53/6.60 | Equations (491) can reduce 711 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (361) ~ (all_0_47_47 = e2) % 25.53/6.60 | (371) all_0_51_51 = e2 | all_0_59_59 = e2 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (371), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (396) all_0_51_51 = e2 % 25.53/6.60 | % 25.53/6.60 | Combining equations (1704,396) yields a new equation: % 25.53/6.60 | (544) e2 = e1 % 25.53/6.60 | % 25.53/6.60 | Equations (544) can reduce 134 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (885) ~ (all_0_51_51 = e2) % 25.53/6.60 | (886) all_0_59_59 = e2 % 25.53/6.60 | % 25.53/6.60 | Equations (886) can reduce 963 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (344) ~ (all_0_51_51 = e1) % 25.53/6.60 | (341) all_0_59_59 = e1 % 25.53/6.60 | % 25.53/6.60 | Equations (341) can reduce 2156 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (301) ~ (all_0_43_43 = e0) % 25.53/6.60 | (1972) all_0_43_43 = e4 | all_0_43_43 = e3 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (12), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (1253) all_0_43_43 = e0 % 25.53/6.60 | % 25.53/6.60 | Equations (1253) can reduce 301 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (301) ~ (all_0_43_43 = e0) % 25.53/6.60 | (2731) all_0_48_48 = e0 | all_0_52_52 = e0 | all_0_60_60 = e0 % 25.53/6.60 | % 25.53/6.60 +-Applying beta-rule and splitting (2731), into two cases. % 25.53/6.60 |-Branch one: % 25.53/6.60 | (717) all_0_48_48 = e0 % 25.53/6.60 | % 25.53/6.60 | Equations (717) can reduce 303 to: % 25.53/6.60 | (298) $false % 25.53/6.60 | % 25.53/6.60 |-The branch is then unsatisfiable % 25.53/6.60 |-Branch two: % 25.53/6.60 | (303) ~ (all_0_48_48 = e0) % 25.53/6.60 | (2886) all_0_52_52 = e0 | all_0_60_60 = e0 % 25.53/6.60 | % 25.53/6.61 +-Applying beta-rule and splitting (2886), into two cases. % 25.53/6.61 |-Branch one: % 25.53/6.61 | (2078) all_0_52_52 = e0 % 25.53/6.61 | % 25.53/6.61 +-Applying beta-rule and splitting (45), into two cases. % 25.53/6.61 |-Branch one: % 25.53/6.61 | (520) all_0_43_43 = e4 % 25.53/6.61 | % 25.53/6.61 | Equations (520) can reduce 601 to: % 25.53/6.61 | (298) $false % 25.53/6.61 | % 25.53/6.61 |-The branch is then unsatisfiable % 25.53/6.61 |-Branch two: % 25.53/6.61 | (601) ~ (all_0_43_43 = e4) % 25.53/6.61 | (602) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_60_60 = e4 % 25.53/6.61 | % 25.53/6.61 +-Applying beta-rule and splitting (602), into two cases. % 25.53/6.61 |-Branch one: % 25.53/6.61 | (687) all_0_48_48 = e4 % 25.53/6.61 | % 25.53/6.61 | Equations (687) can reduce 16 to: % 25.53/6.61 | (601) ~ (all_0_43_43 = e4) % 25.53/6.61 | % 25.53/6.61 +-Applying beta-rule and splitting (1972), into two cases. % 25.53/6.61 |-Branch one: % 25.53/6.61 | (475) all_0_43_43 = e3 % 25.53/6.61 | % 25.53/6.61 | Equations (475) can reduce 471 to: % 25.53/6.61 | (298) $false % 25.53/6.61 | % 25.53/6.61 |-The branch is then unsatisfiable % 25.53/6.61 |-Branch two: % 25.53/6.61 | (471) ~ (all_0_43_43 = e3) % 25.53/6.61 | (520) all_0_43_43 = e4 % 25.53/6.61 | % 25.53/6.61 | Equations (520) can reduce 601 to: % 25.53/6.61 | (298) $false % 25.53/6.61 | % 25.53/6.61 |-The branch is then unsatisfiable % 25.53/6.61 |-Branch two: % 25.53/6.61 | (690) ~ (all_0_48_48 = e4) % 25.53/6.61 | (691) all_0_52_52 = e4 | all_0_60_60 = e4 % 25.53/6.61 | % 25.53/6.61 +-Applying beta-rule and splitting (691), into two cases. % 25.53/6.61 |-Branch one: % 25.53/6.61 | (597) all_0_52_52 = e4 % 25.53/6.61 | % 25.53/6.61 | Combining equations (2078,597) yields a new equation: % 25.53/6.61 | (481) e4 = e0 % 25.53/6.61 | % 25.53/6.61 | Equations (481) can reduce 47 to: % 25.53/6.61 | (298) $false % 25.53/6.61 | % 25.53/6.61 |-The branch is then unsatisfiable % 25.53/6.61 |-Branch two: % 25.53/6.61 | (695) ~ (all_0_52_52 = e4) % 25.53/6.61 | (696) all_0_60_60 = e4 % 25.53/6.61 | % 25.53/6.61 | Combining equations (696,2157) yields a new equation: % 25.53/6.61 | (598) e4 = e1 % 25.53/6.61 | % 25.53/6.61 | Simplifying 598 yields: % 25.53/6.61 | (535) e4 = e1 % 25.53/6.61 | % 25.53/6.61 | Equations (535) can reduce 115 to: % 25.53/6.61 | (298) $false % 25.53/6.61 | % 25.53/6.61 |-The branch is then unsatisfiable % 25.53/6.61 |-Branch two: % 25.53/6.61 | (304) ~ (all_0_52_52 = e0) % 25.53/6.61 | (300) all_0_60_60 = e0 % 25.53/6.61 | % 25.53/6.61 | Combining equations (300,2157) yields a new equation: % 25.53/6.61 | (297) e1 = e0 % 25.53/6.61 | % 25.53/6.61 | Equations (297) can reduce 231 to: % 25.53/6.61 | (298) $false % 25.53/6.61 | % 25.53/6.61 |-The branch is then unsatisfiable % 25.53/6.61 |-Branch two: % 25.53/6.61 | (1603) ~ (all_0_55_55 = e3) % 25.53/6.61 | (385) all_0_55_55 = e2 % 25.53/6.61 | % 25.53/6.61 | Equations (385) can reduce 968 to: % 25.53/6.61 | (298) $false % 25.53/6.61 | % 25.53/6.61 |-The branch is then unsatisfiable % 25.53/6.61 |-Branch two: % 25.53/6.61 | (373) ~ (all_0_54_54 = e2) % 25.53/6.61 | (385) all_0_55_55 = e2 % 25.53/6.61 | % 25.53/6.61 | Equations (385) can reduce 112 to: % 25.53/6.61 | (188) ~ (all_0_43_43 = e2) % 25.53/6.61 | % 25.53/6.61 | Equations (385) can reduce 176 to: % 25.53/6.61 | (363) ~ (all_0_48_48 = e2) % 25.53/6.61 | % 25.53/6.61 | Equations (385) can reduce 42 to: % 25.53/6.61 | (941) ~ (all_0_52_52 = e2) % 25.53/6.61 | % 25.53/6.61 | Equations (385) can reduce 85 to: % 25.53/6.61 | (373) ~ (all_0_54_54 = e2) % 25.53/6.61 | % 25.53/6.61 | Equations (385) can reduce 277 to: % 25.53/6.61 | (134) ~ (e2 = e1) % 25.53/6.61 | % 25.53/6.61 | Equations (385) can reduce 178 to: % 25.53/6.61 | (139) ~ (e2 = e0) % 25.53/6.61 | % 25.53/6.61 | From (385) and (222) follows: % 25.53/6.61 | (388) op(e2, e1) = all_0_29_29 % 25.53/6.61 | % 25.53/6.61 | From (385) and (146) follows: % 25.53/6.61 | (5411) op(e2, e0) = all_0_30_30 % 25.53/6.61 | % 25.53/6.61 | From (385) and (218) follows: % 25.53/6.61 | (389) op(e1, e0) = e2 % 25.53/6.61 | % 25.53/6.61 +-Applying beta-rule and splitting (155), into two cases. % 25.53/6.61 |-Branch one: % 25.53/6.61 | (948) all_0_45_45 = e2 % 25.53/6.61 | % 25.53/6.61 | Combining equations (295,948) yields a new equation: % 25.53/6.61 | (569) e2 = e0 % 25.53/6.61 | % 25.53/6.61 | Equations (569) can reduce 139 to: % 25.53/6.61 | (298) $false % 25.53/6.61 | % 25.53/6.61 |-The branch is then unsatisfiable % 25.53/6.61 |-Branch two: % 25.53/6.61 | (951) ~ (all_0_45_45 = e2) % 25.53/6.61 | (1616) all_0_46_46 = e2 | all_0_47_47 = e2 | all_0_48_48 = e2 % 25.53/6.61 | % 25.53/6.61 +-Applying beta-rule and splitting (137), into two cases. % 25.53/6.61 |-Branch one: % 25.53/6.61 | (1669) all_0_54_54 = e1 % 25.53/6.61 | % 25.53/6.61 | Equations (1669) can reduce 275 to: % 25.53/6.61 | (298) $false % 25.53/6.61 | % 25.53/6.61 |-The branch is then unsatisfiable % 25.53/6.61 |-Branch two: % 25.53/6.61 | (275) ~ (all_0_54_54 = e1) % 25.53/6.61 | (1672) all_0_54_54 = e3 | all_0_54_54 = e2 % 25.53/6.61 | % 25.53/6.61 +-Applying beta-rule and splitting (1672), into two cases. % 25.53/6.61 |-Branch one: % 25.53/6.61 | (424) all_0_54_54 = e3 % 25.53/6.61 | % 25.53/6.61 | Equations (424) can reduce 35 to: % 25.53/6.61 | (425) ~ (all_0_40_40 = e3) % 25.53/6.61 | % 25.53/6.61 | Equations (424) can reduce 81 to: % 25.53/6.61 | (2823) ~ (all_0_57_57 = e3) % 25.53/6.61 | % 25.53/6.61 | Simplifying 2823 yields: % 25.53/6.61 | (905) ~ (all_0_57_57 = e3) % 25.53/6.61 | % 25.53/6.61 | Equations (424) can reduce 210 to: % 25.53/6.61 | (84) ~ (e3 = e0) % 25.53/6.61 | % 25.53/6.61 | From (424) and (36) follows: % 25.53/6.61 | (10041) op(e3, e3) = all_0_28_28 % 25.53/6.61 | % 25.53/6.61 | From (424) and (38) follows: % 25.53/6.61 | (428) op(e3, e1) = all_0_27_27 % 25.53/6.61 | % 25.53/6.61 | From (424) and (154) follows: % 25.53/6.61 | (429) op(e1, e3) = e3 % 25.53/6.61 | % 25.53/6.61 +-Applying beta-rule and splitting (1616), into two cases. % 25.53/6.61 |-Branch one: % 25.53/6.61 | (358) all_0_46_46 = e2 % 25.53/6.61 | % 25.53/6.61 | Combining equations (358,982) yields a new equation: % 25.53/6.61 | (887) e2 = e1 % 25.53/6.61 | % 25.53/6.61 | Simplifying 887 yields: % 25.53/6.61 | (544) e2 = e1 % 25.53/6.61 | % 25.53/6.61 | Equations (544) can reduce 134 to: % 25.53/6.61 | (298) $false % 25.53/6.61 | % 25.53/6.61 |-The branch is then unsatisfiable % 25.53/6.61 |-Branch two: % 25.53/6.61 | (973) ~ (all_0_46_46 = e2) % 25.53/6.61 | (1665) all_0_47_47 = e2 | all_0_48_48 = e2 % 25.53/6.61 | % 25.53/6.61 +-Applying beta-rule and splitting (109), into two cases. % 25.53/6.61 |-Branch one: % 25.53/6.61 | (747) all_0_40_40 = e1 % 25.53/6.61 | % 25.53/6.61 | Equations (747) can reduce 238 to: % 25.53/6.61 | (257) ~ (all_0_43_43 = e1) % 25.53/6.61 | % 25.53/6.61 | Simplifying 257 yields: % 25.53/6.61 | (258) ~ (all_0_43_43 = e1) % 25.53/6.61 | % 25.53/6.61 | Equations (747) can reduce 75 to: % 25.53/6.61 | (3721) ~ (all_0_50_50 = e1) % 25.53/6.61 | % 25.53/6.61 | Simplifying 3721 yields: % 25.53/6.61 | (330) ~ (all_0_50_50 = e1) % 25.53/6.61 | % 25.53/6.61 | From (747) and (43) follows: % 25.53/6.61 | (9569) op(e1, e3) = all_0_1_1 % 25.53/6.61 | % 25.53/6.61 | From (747) and (233) follows: % 25.53/6.61 | (9570) op(e4, e3) = e1 % 25.53/6.61 | % 25.53/6.61 +-Applying beta-rule and splitting (173), into two cases. % 25.53/6.61 |-Branch one: % 25.53/6.61 | (457) all_0_49_49 = e1 % 25.53/6.61 | % 25.53/6.61 | Equations (457) can reduce 329 to: % 25.53/6.61 | (298) $false % 25.53/6.61 | % 25.53/6.61 |-The branch is then unsatisfiable % 25.53/6.61 |-Branch two: % 25.53/6.61 | (329) ~ (all_0_49_49 = e1) % 25.53/6.61 | (3829) all_0_50_50 = e1 | all_0_51_51 = e1 | all_0_52_52 = e1 % 25.53/6.61 | % 25.53/6.61 +-Applying beta-rule and splitting (3829), into two cases. % 25.53/6.61 |-Branch one: % 25.53/6.61 | (771) all_0_50_50 = e1 % 25.53/6.61 | % 25.53/6.61 | Equations (771) can reduce 330 to: % 25.53/6.61 | (298) $false % 25.53/6.61 | % 25.53/6.61 |-The branch is then unsatisfiable % 25.53/6.61 |-Branch two: % 25.53/6.61 | (330) ~ (all_0_50_50 = e1) % 25.53/6.61 | (3841) all_0_51_51 = e1 | all_0_52_52 = e1 % 25.53/6.61 | % 25.53/6.61 +-Applying beta-rule and splitting (3841), into two cases. % 25.53/6.61 |-Branch one: % 25.53/6.61 | (1704) all_0_51_51 = e1 % 25.53/6.61 | % 25.53/6.61 | Equations (1704) can reduce 153 to: % 25.53/6.61 | (256) ~ (all_0_42_42 = e1) % 25.53/6.61 | % 25.53/6.61 | Equations (1704) can reduce 171 to: % 25.53/6.61 | (343) ~ (all_0_47_47 = e1) % 25.53/6.61 | % 25.53/6.61 | Equations (1704) can reduce 82 to: % 25.53/6.61 | (329) ~ (all_0_49_49 = e1) % 25.53/6.61 | % 25.53/6.61 | Equations (1704) can reduce 157 to: % 25.53/6.61 | (330) ~ (all_0_50_50 = e1) % 25.53/6.61 | % 25.53/6.61 | Equations (1704) can reduce 22 to: % 25.53/6.61 | (2229) ~ (all_0_52_52 = e1) % 25.53/6.61 | % 25.53/6.61 | Simplifying 2229 yields: % 25.53/6.61 | (2161) ~ (all_0_52_52 = e1) % 25.53/6.61 | % 25.53/6.61 | Equations (1704) can reduce 73 to: % 25.53/6.61 | (2217) ~ (all_0_59_59 = e1) % 25.53/6.61 | % 25.53/6.61 | Simplifying 2217 yields: % 25.53/6.61 | (2156) ~ (all_0_59_59 = e1) % 25.53/6.61 | % 25.53/6.61 | Equations (1704) can reduce 37 to: % 25.53/6.61 | (347) ~ (e4 = e1) % 25.53/6.61 | % 25.53/6.61 | Simplifying 347 yields: % 25.53/6.61 | (115) ~ (e4 = e1) % 25.53/6.61 | % 25.53/6.61 | Equations (1704) can reduce 241 to: % 25.53/6.61 | (333) ~ (e3 = e1) % 25.53/6.61 | % 25.53/6.61 | Simplifying 333 yields: % 25.53/6.61 | (214) ~ (e3 = e1) % 25.53/6.61 | % 25.53/6.61 | From (1704) and (33) follows: % 25.53/6.61 | (3851) op(e1, e1) = all_0_22_22 % 25.53/6.61 | % 25.53/6.61 | From (1704) and (149) follows: % 25.53/6.61 | (825) op(e2, e1) = e1 % 25.53/6.61 | % 25.53/6.61 +-Applying beta-rule and splitting (32), into two cases. % 25.53/6.61 |-Branch one: % 25.53/6.61 | (368) all_0_47_47 = e2 % 25.53/6.61 | % 25.53/6.61 | Equations (368) can reduce 98 to: % 25.53/6.61 | (107) ~ (all_0_44_44 = e2) % 25.53/6.61 | % 25.53/6.61 | Equations (368) can reduce 224 to: % 25.53/6.61 | (362) ~ (all_0_48_48 = e2) % 25.53/6.61 | % 25.53/6.61 | Simplifying 362 yields: % 25.53/6.61 | (363) ~ (all_0_48_48 = e2) % 25.53/6.61 | % 25.53/6.61 | Equations (368) can reduce 119 to: % 25.53/6.61 | (2551) ~ (all_0_59_59 = e2) % 25.53/6.61 | % 25.53/6.61 | Simplifying 2551 yields: % 25.53/6.61 | (963) ~ (all_0_59_59 = e2) % 25.53/6.61 | % 25.53/6.61 | Equations (368) can reduce 76 to: % 25.53/6.61 | (399) ~ (e4 = e2) % 25.53/6.61 | % 25.53/6.61 | Simplifying 399 yields: % 25.53/6.61 | (46) ~ (e4 = e2) % 25.53/6.61 | % 25.53/6.61 | Equations (368) can reduce 343 to: % 25.53/6.61 | (134) ~ (e2 = e1) % 25.53/6.61 | % 25.53/6.61 | From (368) and (235) follows: % 25.53/6.61 | (5096) op(e2, e1) = all_0_14_14 % 25.53/6.61 | % 25.53/6.61 | From (368) and (158) follows: % 25.53/6.61 | (1703) op(e3, e1) = e2 % 25.53/6.61 | % 25.53/6.61 +-Applying beta-rule and splitting (103), into two cases. % 25.53/6.61 |-Branch one: % 25.53/6.61 | (838) all_0_50_50 = e2 % 25.53/6.61 | % 25.53/6.61 | Equations (838) can reduce 234 to: % 25.53/6.61 | (2566) ~ (all_0_52_52 = e2) % 25.53/6.61 | % 25.53/6.61 | Simplifying 2566 yields: % 25.53/6.61 | (941) ~ (all_0_52_52 = e2) % 25.53/6.61 | % 25.53/6.61 | Equations (838) can reduce 330 to: % 25.53/6.61 | (134) ~ (e2 = e1) % 25.53/6.61 | % 25.53/6.61 | From (838) and (117) follows: % 25.53/6.61 | (1718) op(e2, e2) = all_0_19_19 % 25.53/6.61 | % 25.53/6.61 +-Applying beta-rule and splitting (125), into two cases. % 25.53/6.61 |-Branch one: % 25.53/6.61 | (479) all_0_40_40 = e4 % 25.53/6.61 | % 25.53/6.61 | Combining equations (479,747) yields a new equation: % 25.53/6.61 | (598) e4 = e1 % 25.53/6.61 | % 25.53/6.61 | Simplifying 598 yields: % 25.53/6.61 | (535) e4 = e1 % 25.53/6.61 | % 25.53/6.61 | Equations (535) can reduce 115 to: % 25.53/6.61 | (298) $false % 25.53/6.61 | % 25.53/6.61 |-The branch is then unsatisfiable % 25.53/6.61 |-Branch two: % 25.53/6.61 | (483) ~ (all_0_40_40 = e4) % 25.53/6.61 | (484) all_0_45_45 = e4 | all_0_50_50 = e4 | all_0_57_57 = e4 % 25.53/6.61 | % 25.53/6.61 +-Applying beta-rule and splitting (484), into two cases. % 25.53/6.61 |-Branch one: % 25.53/6.61 | (1221) all_0_45_45 = e4 % 25.53/6.61 | % 25.53/6.61 | Combining equations (295,1221) yields a new equation: % 25.53/6.61 | (481) e4 = e0 % 25.53/6.61 | % 25.53/6.61 | Equations (481) can reduce 47 to: % 25.53/6.61 | (298) $false % 25.53/6.61 | % 25.53/6.61 |-The branch is then unsatisfiable % 25.53/6.61 |-Branch two: % 25.53/6.61 | (1224) ~ (all_0_45_45 = e4) % 25.53/6.61 | (1225) all_0_50_50 = e4 | all_0_57_57 = e4 % 25.53/6.61 | % 25.53/6.61 +-Applying beta-rule and splitting (1225), into two cases. % 25.53/6.61 |-Branch one: % 25.53/6.61 | (523) all_0_50_50 = e4 % 25.53/6.61 | % 25.53/6.61 | Combining equations (838,523) yields a new equation: % 25.53/6.61 | (409) e4 = e2 % 25.53/6.61 | % 25.53/6.61 | Equations (409) can reduce 46 to: % 25.53/6.61 | (298) $false % 25.53/6.61 | % 25.53/6.61 |-The branch is then unsatisfiable % 25.53/6.61 |-Branch two: % 25.53/6.61 | (596) ~ (all_0_50_50 = e4) % 25.53/6.61 | (407) all_0_57_57 = e4 % 25.53/6.61 | % 25.53/6.61 | Equations (407) can reduce 152 to: % 25.53/6.61 | (394) ~ (all_0_56_56 = e4) % 25.53/6.61 | % 25.53/6.61 | Equations (407) can reduce 198 to: % 25.53/6.61 | (3242) ~ (all_0_59_59 = e4) % 25.53/6.61 | % 25.53/6.61 | Simplifying 3242 yields: % 25.53/6.61 | (123) ~ (all_0_59_59 = e4) % 25.53/6.61 | % 25.53/6.61 | Equations (407) can reduce 905 to: % 25.53/6.61 | (184) ~ (e4 = e3) % 25.53/6.61 | % 25.53/6.61 | Equations (407) can reduce 307 to: % 25.53/6.61 | (47) ~ (e4 = e0) % 25.53/6.61 | % 25.53/6.61 | From (407) and (30) follows: % 25.53/6.61 | (9006) op(e4, e3) = all_0_34_34 % 25.53/6.61 | % 25.53/6.61 | From (407) and (3) follows: % 25.53/6.61 | (1752) op(e4, e0) = all_0_33_33 % 25.53/6.61 | % 25.53/6.61 | From (407) and (150) follows: % 25.53/6.61 | (1160) op(e0, e3) = e4 % 25.53/6.61 | % 25.53/6.61 | Instantiating formula (206) with e4, e3, e1, all_0_34_34 and discharging atoms op(e4, e3) = all_0_34_34, op(e4, e3) = e1, yields: % 25.53/6.61 | (3257) all_0_34_34 = e1 % 25.53/6.61 | % 25.53/6.61 | Instantiating formula (206) with e4, e0, all_0_33_33, all_0_43_43 and discharging atoms op(e4, e0) = all_0_33_33, op(e4, e0) = all_0_43_43, yields: % 25.53/6.61 | (10121) all_0_33_33 = all_0_43_43 % 25.53/6.61 | % 25.53/6.61 | Instantiating formula (206) with e3, e3, all_0_28_28, e0 and discharging atoms op(e3, e3) = all_0_28_28, op(e3, e3) = e0, yields: % 25.53/6.61 | (10122) all_0_28_28 = e0 % 25.53/6.61 | % 25.53/6.61 | Instantiating formula (206) with e3, e1, e2, all_0_27_27 and discharging atoms op(e3, e1) = all_0_27_27, op(e3, e1) = e2, yields: % 25.53/6.61 | (1057) all_0_27_27 = e2 % 25.53/6.61 | % 25.53/6.61 | Instantiating formula (206) with e2, e2, all_0_19_19, e3 and discharging atoms op(e2, e2) = all_0_19_19, op(e2, e2) = e3, yields: % 25.53/6.61 | (1758) all_0_19_19 = e3 % 25.53/6.61 | % 25.53/6.61 | Instantiating formula (206) with e2, e1, all_0_29_29, all_0_14_14 and discharging atoms op(e2, e1) = all_0_14_14, op(e2, e1) = all_0_29_29, yields: % 25.53/6.61 | (10125) all_0_14_14 = all_0_29_29 % 25.53/6.61 | % 25.53/6.61 | Instantiating formula (206) with e2, e1, e1, all_0_14_14 and discharging atoms op(e2, e1) = all_0_14_14, op(e2, e1) = e1, yields: % 25.53/6.61 | (5192) all_0_14_14 = e1 % 25.53/6.61 | % 25.53/6.61 | Instantiating formula (206) with e2, e0, all_0_30_30, all_0_52_52 and discharging atoms op(e2, e0) = all_0_30_30, op(e2, e0) = all_0_52_52, yields: % 25.53/6.61 | (5414) all_0_30_30 = all_0_52_52 % 25.53/6.61 | % 25.53/6.61 | Instantiating formula (206) with e1, e3, e3, all_0_1_1 and discharging atoms op(e1, e3) = all_0_1_1, op(e1, e3) = e3, yields: % 25.53/6.61 | (10128) all_0_1_1 = e3 % 25.53/6.61 | % 25.53/6.61 | Instantiating formula (206) with e1, e1, all_0_22_22, e4 and discharging atoms op(e1, e1) = all_0_22_22, op(e1, e1) = e4, yields: % 25.53/6.61 | (3859) all_0_22_22 = e4 % 25.53/6.61 | % 25.53/6.61 | Combining equations (10125,5192) yields a new equation: % 25.53/6.61 | (10130) all_0_29_29 = e1 % 25.53/6.61 | % 25.53/6.61 | Simplifying 10130 yields: % 25.53/6.61 | (2278) all_0_29_29 = e1 % 25.53/6.61 | % 25.53/6.61 | From (3257) and (9006) follows: % 25.53/6.62 | (9570) op(e4, e3) = e1 % 25.53/6.62 | % 25.53/6.62 | From (10121) and (1752) follows: % 25.53/6.62 | (34) op(e4, e0) = all_0_43_43 % 25.53/6.62 | % 25.53/6.62 | From (10122) and (10041) follows: % 25.53/6.62 | (8855) op(e3, e3) = e0 % 25.53/6.62 | % 25.53/6.62 | From (1057) and (428) follows: % 25.53/6.62 | (1703) op(e3, e1) = e2 % 25.53/6.62 | % 25.53/6.62 | From (1758) and (1718) follows: % 25.53/6.62 | (72) op(e2, e2) = e3 % 25.53/6.62 | % 25.53/6.62 | From (2278) and (388) follows: % 25.53/6.62 | (825) op(e2, e1) = e1 % 25.53/6.62 | % 25.53/6.62 | From (5414) and (5411) follows: % 25.53/6.62 | (217) op(e2, e0) = all_0_52_52 % 25.53/6.62 | % 25.53/6.62 +-Applying beta-rule and splitting (105), into two cases. % 25.53/6.62 |-Branch one: % 25.53/6.62 | (457) all_0_49_49 = e1 % 25.53/6.62 | % 25.53/6.62 | Equations (457) can reduce 329 to: % 25.53/6.62 | (298) $false % 25.53/6.62 | % 25.53/6.62 |-The branch is then unsatisfiable % 25.53/6.62 |-Branch two: % 25.53/6.62 | (329) ~ (all_0_49_49 = e1) % 25.53/6.62 | (460) all_0_49_49 = e4 | all_0_49_49 = e0 % 25.53/6.62 | % 25.53/6.62 +-Applying beta-rule and splitting (92), into two cases. % 25.53/6.62 |-Branch one: % 25.53/6.62 | (453) all_0_42_42 = e1 % 25.53/6.62 | % 25.53/6.62 | Equations (453) can reduce 256 to: % 25.53/6.62 | (298) $false % 25.53/6.62 | % 25.53/6.62 |-The branch is then unsatisfiable % 25.53/6.62 |-Branch two: % 25.53/6.62 | (256) ~ (all_0_42_42 = e1) % 25.53/6.62 | (456) all_0_42_42 = e3 | all_0_42_42 = e0 % 25.53/6.62 | % 25.53/6.62 +-Applying beta-rule and splitting (54), into two cases. % 25.53/6.62 |-Branch one: % 25.53/6.62 | (500) all_0_44_44 = e0 % 25.53/6.62 | % 25.53/6.62 | Equations (500) can reduce 503 to: % 25.53/6.62 | (298) $false % 25.53/6.62 | % 25.53/6.62 |-The branch is then unsatisfiable % 25.53/6.62 |-Branch two: % 25.53/6.62 | (503) ~ (all_0_44_44 = e0) % 25.53/6.62 | (504) all_0_49_49 = e0 | all_0_56_56 = e0 % 25.53/6.62 | % 25.53/6.62 +-Applying beta-rule and splitting (63), into two cases. % 25.53/6.62 |-Branch one: % 25.53/6.62 | (495) all_0_44_44 = e4 % 25.53/6.62 | % 25.53/6.62 | Equations (495) can reduce 205 to: % 25.53/6.62 | (496) ~ (all_0_49_49 = e4) % 25.53/6.62 | % 25.53/6.62 | Simplifying 496 yields: % 25.53/6.62 | (497) ~ (all_0_49_49 = e4) % 25.53/6.62 | % 25.53/6.62 | Equations (495) can reduce 107 to: % 25.53/6.62 | (46) ~ (e4 = e2) % 25.53/6.62 | % 25.53/6.62 | From (495) and (116) follows: % 25.53/6.62 | (5497) op(e4, e4) = all_0_9_9 % 25.53/6.62 | % 25.53/6.62 | From (495) and (124) follows: % 25.53/6.62 | (499) op(e3, e4) = e4 % 25.53/6.62 | % 25.53/6.62 +-Applying beta-rule and splitting (460), into two cases. % 25.53/6.62 |-Branch one: % 25.53/6.62 | (637) all_0_49_49 = e0 % 25.53/6.62 | % 25.53/6.62 | Equations (637) can reduce 44 to: % 25.53/6.62 | (4559) ~ (all_0_52_52 = e0) % 25.53/6.62 | % 25.53/6.62 | Simplifying 4559 yields: % 25.53/6.62 | (304) ~ (all_0_52_52 = e0) % 25.53/6.62 | % 25.53/6.62 | Equations (637) can reduce 106 to: % 25.53/6.62 | (1073) ~ (all_0_56_56 = e0) % 25.53/6.62 | % 25.53/6.62 | Simplifying 1073 yields: % 25.53/6.62 | (306) ~ (all_0_56_56 = e0) % 25.53/6.62 | % 25.53/6.62 | Equations (637) can reduce 111 to: % 25.53/6.62 | (620) ~ (e3 = e0) % 25.53/6.62 | % 25.53/6.62 | Simplifying 620 yields: % 25.53/6.62 | (84) ~ (e3 = e0) % 25.53/6.62 | % 25.53/6.62 | Equations (637) can reduce 329 to: % 25.53/6.62 | (526) ~ (e1 = e0) % 25.53/6.62 | % 25.53/6.62 | Simplifying 526 yields: % 25.53/6.62 | (231) ~ (e1 = e0) % 25.53/6.62 | % 25.53/6.62 | From (637) and (148) follows: % 25.59/6.62 | (8181) op(e0, e4) = all_0_18_18 % 25.59/6.62 | % 25.59/6.62 +-Applying beta-rule and splitting (12), into two cases. % 25.59/6.62 |-Branch one: % 25.59/6.62 | (1253) all_0_43_43 = e0 % 25.59/6.62 | % 25.59/6.62 | Equations (1253) can reduce 194 to: % 25.59/6.62 | (4559) ~ (all_0_52_52 = e0) % 25.59/6.62 | % 25.59/6.62 | Simplifying 4559 yields: % 25.59/6.62 | (304) ~ (all_0_52_52 = e0) % 25.59/6.62 | % 25.59/6.62 | Equations (1253) can reduce 601 to: % 25.59/6.62 | (485) ~ (e4 = e0) % 25.59/6.62 | % 25.59/6.62 | Simplifying 485 yields: % 25.59/6.62 | (47) ~ (e4 = e0) % 25.59/6.62 | % 25.59/6.62 | Equations (1253) can reduce 258 to: % 25.59/6.62 | (526) ~ (e1 = e0) % 25.59/6.62 | % 25.59/6.62 | Simplifying 526 yields: % 25.59/6.62 | (231) ~ (e1 = e0) % 25.59/6.62 | % 25.59/6.62 | From (1253) and (181) follows: % 25.59/6.62 | (8935) op(e0, e4) = all_0_6_6 % 25.59/6.62 | % 25.59/6.62 | From (1253) and (11) follows: % 25.59/6.62 | (8936) op(e0, e0) = all_0_7_7 % 25.59/6.62 | % 25.59/6.62 | From (1253) and (34) follows: % 25.59/6.62 | (559) op(e4, e0) = e0 % 25.59/6.62 | % 25.59/6.62 +-Applying beta-rule and splitting (23), into two cases. % 25.59/6.62 |-Branch one: % 25.59/6.62 | (755) all_0_40_40 = e3 % 25.59/6.62 | % 25.59/6.62 | Combining equations (755,747) yields a new equation: % 25.59/6.62 | (1084) e3 = e1 % 25.59/6.62 | % 25.59/6.62 | Simplifying 1084 yields: % 25.59/6.62 | (420) e3 = e1 % 25.59/6.62 | % 25.59/6.62 | Equations (420) can reduce 214 to: % 25.59/6.62 | (298) $false % 25.59/6.62 | % 25.59/6.62 |-The branch is then unsatisfiable % 25.59/6.62 |-Branch two: % 25.59/6.62 | (425) ~ (all_0_40_40 = e3) % 25.59/6.62 | (1257) all_0_42_42 = e3 | all_0_43_43 = e3 % 25.59/6.62 | % 25.59/6.62 +-Applying beta-rule and splitting (226), into two cases. % 25.59/6.62 |-Branch one: % 25.59/6.62 | (506) all_0_49_49 = e4 % 25.59/6.62 | % 25.59/6.62 | Combining equations (506,637) yields a new equation: % 25.59/6.62 | (480) e4 = e0 % 25.59/6.62 | % 25.59/6.62 | Simplifying 480 yields: % 25.59/6.62 | (481) e4 = e0 % 25.59/6.62 | % 25.59/6.62 | Equations (481) can reduce 47 to: % 25.59/6.62 | (298) $false % 25.59/6.62 | % 25.59/6.62 |-The branch is then unsatisfiable % 25.59/6.62 |-Branch two: % 25.59/6.62 | (497) ~ (all_0_49_49 = e4) % 25.59/6.62 | (509) all_0_50_50 = e4 | all_0_52_52 = e4 % 25.59/6.62 | % 25.59/6.62 +-Applying beta-rule and splitting (140), into two cases. % 25.59/6.62 |-Branch one: % 25.59/6.62 | (892) all_0_44_44 = e3 % 25.59/6.62 | % 25.59/6.62 | Combining equations (495,892) yields a new equation: % 25.59/6.62 | (391) e4 = e3 % 25.59/6.62 | % 25.59/6.62 | Simplifying 391 yields: % 25.59/6.62 | (392) e4 = e3 % 25.59/6.62 | % 25.59/6.62 | Equations (392) can reduce 184 to: % 25.59/6.62 | (298) $false % 25.59/6.62 | % 25.59/6.62 |-The branch is then unsatisfiable % 25.59/6.62 |-Branch two: % 25.59/6.62 | (914) ~ (all_0_44_44 = e3) % 25.59/6.62 | (915) all_0_53_53 = e3 | all_0_56_56 = e3 % 25.59/6.62 | % 25.59/6.62 +-Applying beta-rule and splitting (70), into two cases. % 25.59/6.62 |-Branch one: % 25.59/6.62 | (314) all_0_56_56 = e1 % 25.59/6.62 | % 25.59/6.62 | Equations (314) can reduce 279 to: % 25.59/6.62 | (298) $false % 25.59/6.62 | % 25.59/6.62 |-The branch is then unsatisfiable % 25.59/6.62 |-Branch two: % 25.59/6.62 | (279) ~ (all_0_56_56 = e1) % 25.59/6.62 | (1499) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0 % 25.59/6.62 | % 25.59/6.62 +-Applying beta-rule and splitting (1257), into two cases. % 25.59/6.62 |-Branch one: % 25.59/6.62 | (469) all_0_42_42 = e3 % 25.59/6.62 | % 25.59/6.62 | Equations (469) can reduce 256 to: % 25.59/6.62 | (214) ~ (e3 = e1) % 25.59/6.62 | % 25.59/6.62 | From (469) and (19) follows: % 25.59/6.62 | (9642) op(e3, e4) = all_0_4_4 % 25.59/6.62 | % 25.59/6.62 | From (469) and (80) follows: % 25.59/6.62 | (1749) op(e3, e1) = all_0_5_5 % 25.59/6.62 | % 25.59/6.62 +-Applying beta-rule and splitting (1499), into two cases. % 25.59/6.62 |-Branch one: % 25.59/6.62 | (653) all_0_56_56 = e0 % 25.59/6.62 | % 25.59/6.62 | Equations (653) can reduce 306 to: % 25.59/6.62 | (298) $false % 25.59/6.62 | % 25.59/6.62 |-The branch is then unsatisfiable % 25.59/6.62 |-Branch two: % 25.59/6.62 | (306) ~ (all_0_56_56 = e0) % 25.59/6.62 | (1503) all_0_56_56 = e4 | all_0_56_56 = e3 % 25.59/6.62 | % 25.59/6.62 +-Applying beta-rule and splitting (133), into two cases. % 25.59/6.62 |-Branch one: % 25.59/6.62 | (326) all_0_52_52 = e1 % 25.59/6.62 | % 25.59/6.62 | Equations (326) can reduce 2161 to: % 25.59/6.62 | (298) $false % 25.59/6.62 | % 25.59/6.62 |-The branch is then unsatisfiable % 25.59/6.62 |-Branch two: % 25.59/6.62 | (2161) ~ (all_0_52_52 = e1) % 25.59/6.62 | (2880) all_0_52_52 = e4 | all_0_52_52 = e2 | all_0_52_52 = e0 % 25.59/6.62 | % 25.59/6.62 +-Applying beta-rule and splitting (141), into two cases. % 25.59/6.62 |-Branch one: % 25.59/6.62 | (653) all_0_56_56 = e0 % 25.59/6.62 | % 25.59/6.62 | Equations (653) can reduce 306 to: % 25.59/6.62 | (298) $false % 25.59/6.62 | % 25.59/6.62 |-The branch is then unsatisfiable % 25.59/6.62 |-Branch two: % 25.59/6.62 | (306) ~ (all_0_56_56 = e0) % 25.59/6.62 | (2992) all_0_57_57 = e0 | all_0_59_59 = e0 | all_0_60_60 = e0 % 25.59/6.62 | % 25.59/6.62 +-Applying beta-rule and splitting (215), into two cases. % 25.59/6.62 |-Branch one: % 25.59/6.62 | (341) all_0_59_59 = e1 % 25.59/6.62 | % 25.59/6.62 | Equations (341) can reduce 2156 to: % 25.59/6.62 | (298) $false % 25.59/6.62 | % 25.59/6.62 |-The branch is then unsatisfiable % 25.59/6.62 |-Branch two: % 25.59/6.62 | (2156) ~ (all_0_59_59 = e1) % 25.59/6.62 | (2378) all_0_59_59 = e3 | all_0_59_59 = e2 | all_0_59_59 = e0 % 25.59/6.62 | % 25.59/6.62 +-Applying beta-rule and splitting (96), into two cases. % 25.59/6.62 |-Branch one: % 25.59/6.62 | (376) all_0_56_56 = e3 % 25.59/6.62 | % 25.59/6.62 | Equations (376) can reduce 99 to: % 25.59/6.62 | (2351) ~ (all_0_59_59 = e3) % 25.59/6.62 | % 25.59/6.62 | Simplifying 2351 yields: % 25.59/6.62 | (910) ~ (all_0_59_59 = e3) % 25.59/6.62 | % 25.59/6.62 | Equations (376) can reduce 26 to: % 25.59/6.62 | (213) ~ (e3 = e2) % 25.59/6.62 | % 25.59/6.62 | Equations (376) can reduce 279 to: % 25.59/6.62 | (214) ~ (e3 = e1) % 25.59/6.62 | % 25.59/6.62 | Equations (376) can reduce 306 to: % 25.59/6.62 | (84) ~ (e3 = e0) % 25.59/6.62 | % 25.59/6.62 | From (376) and (229) follows: % 25.59/6.62 | (379) op(e3, e4) = all_0_32_32 % 25.59/6.62 | % 25.59/6.62 | From (376) and (48) follows: % 25.59/6.62 | (381) op(e0, e4) = e3 % 25.59/6.62 | % 25.59/6.62 +-Applying beta-rule and splitting (68), into two cases. % 25.59/6.62 |-Branch one: % 25.59/6.62 | (475) all_0_43_43 = e3 % 25.59/6.62 | % 25.59/6.62 | Combining equations (1253,475) yields a new equation: % 25.59/6.62 | (534) e3 = e0 % 25.59/6.62 | % 25.59/6.62 | Equations (534) can reduce 84 to: % 25.59/6.62 | (298) $false % 25.59/6.62 | % 25.59/6.62 |-The branch is then unsatisfiable % 25.59/6.62 |-Branch two: % 25.59/6.62 | (471) ~ (all_0_43_43 = e3) % 25.59/6.62 | (478) all_0_48_48 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 25.59/6.62 | % 25.59/6.62 +-Applying beta-rule and splitting (509), into two cases. % 25.59/6.62 |-Branch one: % 25.59/6.62 | (523) all_0_50_50 = e4 % 25.59/6.62 | % 25.59/6.62 | Combining equations (523,838) yields a new equation: % 25.59/6.62 | (408) e4 = e2 % 25.59/6.62 | % 25.59/6.62 | Simplifying 408 yields: % 25.59/6.62 | (409) e4 = e2 % 25.59/6.62 | % 25.59/6.62 | Equations (409) can reduce 46 to: % 25.59/6.62 | (298) $false % 25.59/6.62 | % 25.59/6.62 |-The branch is then unsatisfiable % 25.59/6.62 |-Branch two: % 25.59/6.62 | (596) ~ (all_0_50_50 = e4) % 25.59/6.62 | (597) all_0_52_52 = e4 % 25.59/6.62 | % 25.59/6.62 | Combining equations (597,5414) yields a new equation: % 25.59/6.62 | (5834) all_0_30_30 = e4 % 25.59/6.62 | % 25.59/6.62 | Equations (597) can reduce 88 to: % 25.59/6.62 | (690) ~ (all_0_48_48 = e4) % 25.59/6.62 | % 25.59/6.62 | Equations (597) can reduce 941 to: % 25.59/6.62 | (46) ~ (e4 = e2) % 25.59/6.62 | % 25.59/6.62 | Equations (597) can reduce 2161 to: % 25.59/6.62 | (115) ~ (e4 = e1) % 25.59/6.62 | % 25.59/6.62 | Equations (597) can reduce 304 to: % 25.59/6.62 | (47) ~ (e4 = e0) % 25.59/6.62 | % 25.59/6.62 | From (597) and (71) follows: % 25.59/6.62 | (4881) op(e4, e0) = all_0_24_24 % 25.59/6.62 | % 25.59/6.62 +-Applying beta-rule and splitting (8), into two cases. % 25.59/6.62 |-Branch one: % 25.59/6.62 | (318) all_0_48_48 = e1 % 25.59/6.62 | % 25.59/6.62 | Equations (318) can reduce 290 to: % 25.59/6.62 | (298) $false % 25.59/6.62 | % 25.59/6.62 |-The branch is then unsatisfiable % 25.59/6.62 |-Branch two: % 25.59/6.62 | (290) ~ (all_0_48_48 = e1) % 25.59/6.62 | (716) all_0_48_48 = e4 | all_0_48_48 = e3 | all_0_48_48 = e2 | all_0_48_48 = e0 % 25.59/6.62 | % 25.59/6.62 +-Applying beta-rule and splitting (2992), into two cases. % 25.59/6.62 |-Branch one: % 25.59/6.62 | (1242) all_0_57_57 = e0 % 25.59/6.62 | % 25.59/6.62 | Combining equations (407,1242) yields a new equation: % 25.59/6.62 | (480) e4 = e0 % 25.59/6.62 | % 25.59/6.62 | Simplifying 480 yields: % 25.59/6.62 | (481) e4 = e0 % 25.59/6.62 | % 25.59/6.62 | Equations (481) can reduce 47 to: % 25.59/6.62 | (298) $false % 25.59/6.62 | % 25.59/6.62 |-The branch is then unsatisfiable % 25.59/6.62 |-Branch two: % 25.59/6.62 | (307) ~ (all_0_57_57 = e0) % 25.59/6.62 | (6364) all_0_59_59 = e0 | all_0_60_60 = e0 % 25.59/6.62 | % 25.59/6.62 +-Applying beta-rule and splitting (478), into two cases. % 25.59/6.62 |-Branch one: % 25.59/6.62 | (491) all_0_48_48 = e3 % 25.59/6.62 | % 25.59/6.62 | Equations (491) can reduce 690 to: % 25.59/6.62 | (472) ~ (e4 = e3) % 25.59/6.62 | % 25.59/6.62 | Simplifying 472 yields: % 25.59/6.62 | (184) ~ (e4 = e3) % 25.59/6.62 | % 25.59/6.62 | Equations (491) can reduce 363 to: % 25.59/6.62 | (213) ~ (e3 = e2) % 25.59/6.62 | % 25.59/6.62 | Equations (491) can reduce 290 to: % 25.59/6.62 | (214) ~ (e3 = e1) % 25.59/6.62 | % 25.59/6.62 | From (491) and (225) follows: % 25.59/6.62 | (10259) op(e3, e3) = all_0_15_15 % 25.59/6.62 | % 25.59/6.62 +-Applying beta-rule and splitting (6364), into two cases. % 25.59/6.62 |-Branch one: % 25.59/6.62 | (2627) all_0_59_59 = e0 % 25.59/6.62 | % 25.59/6.62 | Equations (2627) can reduce 123 to: % 25.59/6.62 | (485) ~ (e4 = e0) % 25.59/6.62 | % 25.59/6.62 | Simplifying 485 yields: % 25.59/6.62 | (47) ~ (e4 = e0) % 25.59/6.62 | % 25.59/6.62 | Equations (2627) can reduce 910 to: % 25.59/6.62 | (620) ~ (e3 = e0) % 25.59/6.62 | % 25.59/6.62 | Simplifying 620 yields: % 25.59/6.62 | (84) ~ (e3 = e0) % 25.59/6.62 | % 25.59/6.62 | Equations (2627) can reduce 963 to: % 25.59/6.62 | (782) ~ (e2 = e0) % 25.59/6.63 | % 25.59/6.63 | Simplifying 782 yields: % 25.59/6.63 | (139) ~ (e2 = e0) % 25.59/6.63 | % 25.59/6.63 | Equations (2627) can reduce 2156 to: % 25.59/6.63 | (526) ~ (e1 = e0) % 25.59/6.63 | % 25.59/6.63 | Simplifying 526 yields: % 25.59/6.63 | (231) ~ (e1 = e0) % 25.59/6.63 | % 25.59/6.63 | From (2627) and (166) follows: % 25.59/6.63 | (10269) op(e0, e0) = all_0_37_37 % 25.59/6.63 | % 25.59/6.63 | Instantiating formula (206) with e4, e4, all_0_9_9, e2 and discharging atoms op(e4, e4) = all_0_9_9, op(e4, e4) = e2, yields: % 25.59/6.63 | (5528) all_0_9_9 = e2 % 25.59/6.63 | % 25.59/6.63 | Instantiating formula (206) with e4, e0, e0, all_0_24_24 and discharging atoms op(e4, e0) = all_0_24_24, op(e4, e0) = e0, yields: % 25.59/6.63 | (9134) all_0_24_24 = e0 % 25.59/6.63 | % 25.59/6.63 | Instantiating formula (206) with e3, e4, all_0_32_32, all_0_4_4 and discharging atoms op(e3, e4) = all_0_4_4, op(e3, e4) = all_0_32_32, yields: % 25.59/6.63 | (10272) all_0_4_4 = all_0_32_32 % 25.59/6.63 | % 25.59/6.63 | Instantiating formula (206) with e3, e4, e4, all_0_4_4 and discharging atoms op(e3, e4) = all_0_4_4, op(e3, e4) = e4, yields: % 25.59/6.63 | (4894) all_0_4_4 = e4 % 25.59/6.63 | % 25.59/6.63 | Instantiating formula (206) with e3, e3, all_0_15_15, e0 and discharging atoms op(e3, e3) = all_0_15_15, op(e3, e3) = e0, yields: % 25.59/6.63 | (10274) all_0_15_15 = e0 % 25.59/6.63 | % 25.59/6.63 | Instantiating formula (206) with e3, e1, all_0_5_5, e2 and discharging atoms op(e3, e1) = all_0_5_5, op(e3, e1) = e2, yields: % 25.59/6.63 | (1757) all_0_5_5 = e2 % 25.59/6.63 | % 25.59/6.63 | Instantiating formula (206) with e0, e4, all_0_18_18, all_0_6_6 and discharging atoms op(e0, e4) = all_0_6_6, op(e0, e4) = all_0_18_18, yields: % 25.59/6.63 | (10276) all_0_6_6 = all_0_18_18 % 25.59/6.63 | % 25.59/6.63 | Instantiating formula (206) with e0, e4, e3, all_0_6_6 and discharging atoms op(e0, e4) = all_0_6_6, op(e0, e4) = e3, yields: % 25.59/6.63 | (10277) all_0_6_6 = e3 % 25.59/6.63 | % 25.59/6.63 | Instantiating formula (206) with e0, e0, all_0_7_7, e1 and discharging atoms op(e0, e0) = all_0_7_7, op(e0, e0) = e1, yields: % 25.59/6.63 | (8942) all_0_7_7 = e1 % 25.59/6.63 | % 25.59/6.63 | Instantiating formula (206) with e0, e0, all_0_37_37, all_0_7_7 and discharging atoms op(e0, e0) = all_0_7_7, op(e0, e0) = all_0_37_37, yields: % 25.59/6.63 | (10279) all_0_7_7 = all_0_37_37 % 25.59/6.63 | % 25.59/6.63 | Combining equations (10272,4894) yields a new equation: % 25.59/6.63 | (10280) all_0_32_32 = e4 % 25.59/6.63 | % 25.59/6.63 | Simplifying 10280 yields: % 25.59/6.63 | (9135) all_0_32_32 = e4 % 25.59/6.63 | % 25.59/6.63 | Combining equations (10276,10277) yields a new equation: % 25.59/6.63 | (10282) all_0_18_18 = e3 % 25.59/6.63 | % 25.59/6.63 | Simplifying 10282 yields: % 25.59/6.63 | (4482) all_0_18_18 = e3 % 25.59/6.63 | % 25.59/6.63 | Combining equations (8942,10279) yields a new equation: % 25.59/6.63 | (10284) all_0_37_37 = e1 % 25.59/6.63 | % 25.59/6.63 | Combining equations (10284,10279) yields a new equation: % 25.59/6.63 | (8942) all_0_7_7 = e1 % 25.59/6.63 | % 25.59/6.63 +-Applying beta-rule and splitting (132), into two cases. % 25.59/6.63 |-Branch one: % 25.59/6.63 | (4611) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_38_38 = e0 & ~ (all_0_37_37 = e1) & ~ (all_0_55_55 = all_0_59_59)) % 25.59/6.63 | % 25.59/6.63 +-Applying beta-rule and splitting (4611), into two cases. % 25.59/6.63 |-Branch one: % 25.59/6.63 | (4612) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_52_52 = all_0_58_58)) % 25.59/6.63 | % 25.59/6.63 +-Applying beta-rule and splitting (4612), into two cases. % 25.59/6.63 |-Branch one: % 25.59/6.63 | (4613) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_48_48 = all_0_57_57)) % 25.59/6.63 | % 25.59/6.63 +-Applying beta-rule and splitting (4613), into two cases. % 25.59/6.63 |-Branch one: % 25.59/6.63 | (4614) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) | (all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56)) % 25.59/6.63 | % 25.59/6.63 +-Applying beta-rule and splitting (4614), into two cases. % 25.59/6.63 |-Branch one: % 25.59/6.63 | (4615) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59)) % 25.59/6.63 | % 25.59/6.63 +-Applying beta-rule and splitting (4615), into two cases. % 25.59/6.63 |-Branch one: % 25.59/6.63 | (4616) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54)) % 25.59/6.63 | % 25.59/6.63 +-Applying beta-rule and splitting (4616), into two cases. % 25.59/6.63 |-Branch one: % 25.59/6.63 | (4617) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) | (all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53)) % 25.59/6.63 | % 25.59/6.63 +-Applying beta-rule and splitting (4617), into two cases. % 25.59/6.63 |-Branch one: % 25.59/6.63 | (4618) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) | (all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58)) % 25.59/6.63 | % 25.59/6.63 +-Applying beta-rule and splitting (4618), into two cases. % 25.59/6.63 |-Branch one: % 25.59/6.63 | (4619) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0)) % 25.59/6.64 | % 25.59/6.64 +-Applying beta-rule and splitting (4619), into two cases. % 25.59/6.64 |-Branch one: % 25.59/6.64 | (4620) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50)) % 25.59/6.64 | % 25.59/6.64 +-Applying beta-rule and splitting (4620), into two cases. % 25.59/6.64 |-Branch one: % 25.59/6.64 | (4621) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) | (all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49)) % 25.59/6.64 | % 25.59/6.64 +-Applying beta-rule and splitting (4621), into two cases. % 25.59/6.64 |-Branch one: % 25.59/6.64 | (4622) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) | (all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57)) % 25.59/6.64 | % 25.59/6.64 +-Applying beta-rule and splitting (4622), into two cases. % 25.59/6.64 |-Branch one: % 25.59/6.64 | (4623) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) | (all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54)) % 25.59/6.64 | % 25.59/6.64 +-Applying beta-rule and splitting (4623), into two cases. % 25.59/6.64 |-Branch one: % 25.59/6.64 | (4624) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50)) % 25.59/6.64 | % 25.59/6.64 +-Applying beta-rule and splitting (4624), into two cases. % 25.59/6.64 |-Branch one: % 25.59/6.64 | (4625) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) | (all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44)) % 25.59/6.64 | % 25.59/6.64 +-Applying beta-rule and splitting (4625), into two cases. % 25.59/6.64 |-Branch one: % 25.59/6.64 | (4626) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) | (all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56)) % 25.59/6.64 | % 25.59/6.64 +-Applying beta-rule and splitting (4626), into two cases. % 25.59/6.64 |-Branch one: % 25.59/6.64 | (4627) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) | (all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53)) % 25.59/6.64 | % 25.59/6.64 +-Applying beta-rule and splitting (4627), into two cases. % 25.59/6.64 |-Branch one: % 25.59/6.64 | (4628) (all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44)) | (all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49)) % 25.59/6.64 | % 25.59/6.64 +-Applying beta-rule and splitting (4628), into two cases. % 25.59/6.64 |-Branch one: % 25.59/6.64 | (4629) all_0_1_1 = e4 & ~ (all_0_0_0 = e3) & ~ (all_0_40_40 = all_0_44_44) % 25.59/6.64 | % 25.59/6.64 | Applying alpha-rule on (4629) yields: % 25.59/6.64 | (1760) all_0_1_1 = e4 % 25.59/6.64 | (4631) ~ (all_0_0_0 = e3) % 25.59/6.64 | (4632) ~ (all_0_40_40 = all_0_44_44) % 25.59/6.64 | % 25.59/6.64 | Combining equations (1760,10128) yields a new equation: % 25.59/6.64 | (391) e4 = e3 % 25.59/6.64 | % 25.59/6.64 | Simplifying 391 yields: % 25.59/6.64 | (392) e4 = e3 % 25.59/6.64 | % 25.59/6.64 | Equations (392) can reduce 184 to: % 25.59/6.64 | (298) $false % 25.59/6.64 | % 25.59/6.64 |-The branch is then unsatisfiable % 25.59/6.64 |-Branch two: % 25.59/6.64 | (4634) all_0_3_3 = e4 & ~ (all_0_2_2 = e2) & ~ (all_0_41_41 = all_0_49_49) % 25.59/6.64 | % 25.59/6.64 | Applying alpha-rule on (4634) yields: % 25.59/6.64 | (4635) all_0_3_3 = e4 % 25.59/6.64 | (4636) ~ (all_0_2_2 = e2) % 25.59/6.64 | (4637) ~ (all_0_41_41 = all_0_49_49) % 25.59/6.64 | % 25.59/6.64 | Equations (7093) can reduce 4636 to: % 25.59/6.64 | (298) $false % 25.59/6.64 | % 25.59/6.64 |-The branch is then unsatisfiable % 25.59/6.64 |-Branch two: % 25.59/6.64 | (4641) all_0_5_5 = e4 & ~ (all_0_4_4 = e1) & ~ (all_0_42_42 = all_0_53_53) % 25.59/6.64 | % 25.59/6.64 | Applying alpha-rule on (4641) yields: % 25.59/6.64 | (4642) all_0_5_5 = e4 % 25.59/6.64 | (4643) ~ (all_0_4_4 = e1) % 25.59/6.64 | (4644) ~ (all_0_42_42 = all_0_53_53) % 25.59/6.64 | % 25.59/6.64 | Combining equations (4642,1757) yields a new equation: % 25.59/6.64 | (408) e4 = e2 % 25.59/6.64 | % 25.59/6.64 | Simplifying 408 yields: % 25.59/6.64 | (409) e4 = e2 % 25.59/6.64 | % 25.59/6.64 | Equations (409) can reduce 46 to: % 25.59/6.64 | (298) $false % 25.59/6.64 | % 25.59/6.64 |-The branch is then unsatisfiable % 25.59/6.64 |-Branch two: % 25.59/6.64 | (4646) all_0_7_7 = e4 & ~ (all_0_6_6 = e0) & ~ (all_0_43_43 = all_0_56_56) % 25.59/6.64 | % 25.59/6.64 | Applying alpha-rule on (4646) yields: % 25.59/6.64 | (1006) all_0_7_7 = e4 % 25.59/6.64 | (4648) ~ (all_0_6_6 = e0) % 25.59/6.64 | (4649) ~ (all_0_43_43 = all_0_56_56) % 25.59/6.64 | % 25.59/6.64 | Combining equations (1006,8942) yields a new equation: % 25.59/6.64 | (598) e4 = e1 % 25.59/6.64 | % 25.59/6.64 | Simplifying 598 yields: % 25.59/6.64 | (535) e4 = e1 % 25.59/6.64 | % 25.59/6.64 | Equations (535) can reduce 115 to: % 25.59/6.64 | (298) $false % 25.59/6.64 | % 25.59/6.64 |-The branch is then unsatisfiable % 25.59/6.64 |-Branch two: % 25.59/6.64 | (4651) all_0_9_9 = e3 & ~ (all_0_8_8 = e4) & ~ (all_0_40_40 = all_0_44_44) % 25.59/6.64 | % 25.59/6.64 | Applying alpha-rule on (4651) yields: % 25.59/6.64 | (2277) all_0_9_9 = e3 % 25.59/6.64 | (4653) ~ (all_0_8_8 = e4) % 25.59/6.64 | (4632) ~ (all_0_40_40 = all_0_44_44) % 25.59/6.64 | % 25.59/6.64 | Combining equations (2277,5528) yields a new equation: % 25.59/6.64 | (877) e3 = e2 % 25.59/6.64 | % 25.59/6.64 | Simplifying 877 yields: % 25.59/6.64 | (567) e3 = e2 % 25.59/6.64 | % 25.59/6.64 | Equations (567) can reduce 213 to: % 25.59/6.64 | (298) $false % 25.59/6.64 | % 25.59/6.64 |-The branch is then unsatisfiable % 25.59/6.64 |-Branch two: % 25.59/6.64 | (4657) all_0_12_12 = e3 & ~ (all_0_11_11 = e2) & ~ (all_0_46_46 = all_0_50_50) % 25.59/6.64 | % 25.59/6.64 | Applying alpha-rule on (4657) yields: % 25.59/6.64 | (437) all_0_12_12 = e3 % 25.59/6.64 | (4659) ~ (all_0_11_11 = e2) % 25.59/6.64 | (4660) ~ (all_0_46_46 = all_0_50_50) % 25.59/6.64 | % 25.59/6.64 | Combining equations (437,8892) yields a new equation: % 25.59/6.64 | (654) e3 = e0 % 25.59/6.64 | % 25.59/6.64 | Simplifying 654 yields: % 25.59/6.64 | (534) e3 = e0 % 25.59/6.64 | % 25.59/6.64 | Equations (534) can reduce 84 to: % 25.59/6.64 | (298) $false % 25.59/6.64 | % 25.59/6.64 |-The branch is then unsatisfiable % 25.59/6.64 |-Branch two: % 25.59/6.64 | (4663) all_0_14_14 = e3 & ~ (all_0_13_13 = e1) & ~ (all_0_47_47 = all_0_54_54) % 25.59/6.64 | % 25.59/6.64 | Applying alpha-rule on (4663) yields: % 25.59/6.64 | (4664) all_0_14_14 = e3 % 25.59/6.64 | (4665) ~ (all_0_13_13 = e1) % 25.59/6.64 | (4666) ~ (all_0_47_47 = all_0_54_54) % 25.59/6.64 | % 25.59/6.64 | Combining equations (4664,5192) yields a new equation: % 25.59/6.64 | (1084) e3 = e1 % 25.59/6.64 | % 25.59/6.64 | Simplifying 1084 yields: % 25.59/6.64 | (420) e3 = e1 % 25.59/6.64 | % 25.59/6.64 | Equations (420) can reduce 214 to: % 25.59/6.64 | (298) $false % 25.59/6.64 | % 25.59/6.64 |-The branch is then unsatisfiable % 25.59/6.64 |-Branch two: % 25.59/6.64 | (4668) all_0_16_16 = e3 & ~ (all_0_15_15 = e0) & ~ (all_0_48_48 = all_0_57_57) % 25.59/6.64 | % 25.59/6.64 | Applying alpha-rule on (4668) yields: % 25.59/6.64 | (4669) all_0_16_16 = e3 % 25.59/6.64 | (4670) ~ (all_0_15_15 = e0) % 25.59/6.64 | (4671) ~ (all_0_48_48 = all_0_57_57) % 25.59/6.64 | % 25.59/6.64 | Equations (10274) can reduce 4670 to: % 25.59/6.64 | (298) $false % 25.59/6.64 | % 25.59/6.64 |-The branch is then unsatisfiable % 25.59/6.64 |-Branch two: % 25.59/6.64 | (4673) all_0_18_18 = e2 & ~ (all_0_17_17 = e4) & ~ (all_0_41_41 = all_0_49_49) % 25.59/6.64 | % 25.59/6.64 | Applying alpha-rule on (4673) yields: % 25.59/6.64 | (4674) all_0_18_18 = e2 % 25.59/6.64 | (4675) ~ (all_0_17_17 = e4) % 25.59/6.64 | (4637) ~ (all_0_41_41 = all_0_49_49) % 25.59/6.64 | % 25.59/6.64 | Combining equations (4674,4482) yields a new equation: % 25.59/6.64 | (567) e3 = e2 % 25.59/6.64 | % 25.59/6.64 | Equations (567) can reduce 213 to: % 25.59/6.64 | (298) $false % 25.59/6.64 | % 25.59/6.64 |-The branch is then unsatisfiable % 25.59/6.65 |-Branch two: % 25.59/6.65 | (4679) all_0_20_20 = e2 & ~ (all_0_19_19 = e3) & ~ (all_0_46_46 = all_0_50_50) % 25.59/6.65 | % 25.59/6.65 | Applying alpha-rule on (4679) yields: % 25.59/6.65 | (4680) all_0_20_20 = e2 % 25.59/6.65 | (4681) ~ (all_0_19_19 = e3) % 25.59/6.65 | (4660) ~ (all_0_46_46 = all_0_50_50) % 25.59/6.65 | % 25.59/6.65 | Equations (1758) can reduce 4681 to: % 25.59/6.65 | (298) $false % 25.59/6.65 | % 25.59/6.65 |-The branch is then unsatisfiable % 25.59/6.65 |-Branch two: % 25.59/6.65 | (4684) all_0_22_22 = e2 & ~ (all_0_21_21 = e1) & ~ (all_0_51_51 = e0) % 25.59/6.65 | % 25.59/6.65 | Applying alpha-rule on (4684) yields: % 25.59/6.65 | (440) all_0_22_22 = e2 % 25.59/6.65 | (4686) ~ (all_0_21_21 = e1) % 25.59/6.65 | (1871) ~ (all_0_51_51 = e0) % 25.59/6.65 | % 25.59/6.65 | Combining equations (440,3859) yields a new equation: % 25.59/6.65 | (409) e4 = e2 % 25.59/6.65 | % 25.59/6.65 | Equations (409) can reduce 46 to: % 25.59/6.65 | (298) $false % 25.59/6.65 | % 25.59/6.65 |-The branch is then unsatisfiable % 25.59/6.65 |-Branch two: % 25.59/6.65 | (4689) all_0_24_24 = e2 & ~ (all_0_23_23 = e0) & ~ (all_0_52_52 = all_0_58_58) % 25.59/6.65 | % 25.59/6.65 | Applying alpha-rule on (4689) yields: % 25.59/6.65 | (4690) all_0_24_24 = e2 % 25.59/6.65 | (4691) ~ (all_0_23_23 = e0) % 25.59/6.65 | (4692) ~ (all_0_52_52 = all_0_58_58) % 25.59/6.65 | % 25.59/6.65 | Combining equations (4690,9134) yields a new equation: % 25.59/6.65 | (568) e2 = e0 % 25.59/6.65 | % 25.59/6.65 | Simplifying 568 yields: % 25.59/6.65 | (569) e2 = e0 % 25.59/6.65 | % 25.59/6.65 | Equations (569) can reduce 139 to: % 25.59/6.65 | (298) $false % 25.59/6.65 | % 25.59/6.65 |-The branch is then unsatisfiable % 25.59/6.65 |-Branch two: % 25.59/6.65 | (4694) all_0_26_26 = e1 & ~ (all_0_25_25 = e4) & ~ (all_0_42_42 = all_0_53_53) % 25.59/6.65 | % 25.59/6.65 | Applying alpha-rule on (4694) yields: % 25.59/6.65 | (4695) all_0_26_26 = e1 % 25.59/6.65 | (4696) ~ (all_0_25_25 = e4) % 25.59/6.65 | (4644) ~ (all_0_42_42 = all_0_53_53) % 25.59/6.65 | % 25.59/6.65 | Equations (282) can reduce 4696 to: % 25.59/6.65 | (298) $false % 25.59/6.65 | % 25.59/6.65 |-The branch is then unsatisfiable % 25.59/6.65 |-Branch two: % 25.59/6.65 | (4701) all_0_28_28 = e1 & ~ (all_0_27_27 = e3) & ~ (all_0_47_47 = all_0_54_54) % 25.59/6.65 | % 25.59/6.65 | Applying alpha-rule on (4701) yields: % 25.59/6.65 | (2280) all_0_28_28 = e1 % 25.59/6.65 | (4703) ~ (all_0_27_27 = e3) % 25.59/6.65 | (4666) ~ (all_0_47_47 = all_0_54_54) % 25.59/6.65 | % 25.59/6.65 | Combining equations (2280,10122) yields a new equation: % 25.59/6.65 | (296) e1 = e0 % 25.59/6.65 | % 25.59/6.65 | Simplifying 296 yields: % 25.59/6.65 | (297) e1 = e0 % 25.59/6.65 | % 25.59/6.65 | Equations (297) can reduce 231 to: % 25.59/6.65 | (298) $false % 25.59/6.65 | % 25.59/6.65 |-The branch is then unsatisfiable % 25.59/6.65 |-Branch two: % 25.59/6.65 | (4708) all_0_30_30 = e1 & ~ (all_0_29_29 = e0) & ~ (all_0_55_55 = all_0_59_59) % 25.59/6.65 | % 25.59/6.65 | Applying alpha-rule on (4708) yields: % 25.59/6.65 | (4709) all_0_30_30 = e1 % 25.59/6.65 | (4710) ~ (all_0_29_29 = e0) % 25.59/6.65 | (4711) ~ (all_0_55_55 = all_0_59_59) % 25.59/6.65 | % 25.59/6.65 | Combining equations (5834,4709) yields a new equation: % 25.59/6.65 | (598) e4 = e1 % 25.59/6.65 | % 25.59/6.65 | Simplifying 598 yields: % 25.59/6.65 | (535) e4 = e1 % 25.59/6.65 | % 25.59/6.65 | Equations (535) can reduce 115 to: % 25.59/6.65 | (298) $false % 25.59/6.65 | % 25.59/6.65 |-The branch is then unsatisfiable % 25.59/6.65 |-Branch two: % 25.59/6.65 | (4713) all_0_32_32 = e0 & ~ (all_0_31_31 = e4) & ~ (all_0_43_43 = all_0_56_56) % 25.59/6.65 | % 25.59/6.65 | Applying alpha-rule on (4713) yields: % 25.59/6.65 | (4714) all_0_32_32 = e0 % 25.59/6.65 | (4715) ~ (all_0_31_31 = e4) % 25.59/6.65 | (4649) ~ (all_0_43_43 = all_0_56_56) % 25.59/6.65 | % 25.59/6.65 | Combining equations (9135,4714) yields a new equation: % 25.59/6.65 | (480) e4 = e0 % 25.59/6.65 | % 25.59/6.65 | Simplifying 480 yields: % 25.59/6.65 | (481) e4 = e0 % 25.59/6.65 | % 25.59/6.65 | Equations (481) can reduce 47 to: % 25.59/6.65 | (298) $false % 25.59/6.65 | % 25.59/6.65 |-The branch is then unsatisfiable % 25.59/6.65 |-Branch two: % 25.59/6.65 | (4719) all_0_34_34 = e0 & ~ (all_0_33_33 = e3) & ~ (all_0_48_48 = all_0_57_57) % 25.59/6.65 | % 25.59/6.65 | Applying alpha-rule on (4719) yields: % 25.59/6.65 | (4720) all_0_34_34 = e0 % 25.59/6.65 | (4721) ~ (all_0_33_33 = e3) % 25.59/6.65 | (4671) ~ (all_0_48_48 = all_0_57_57) % 25.59/6.65 | % 25.59/6.65 | Combining equations (3257,4720) yields a new equation: % 25.59/6.65 | (296) e1 = e0 % 25.59/6.65 | % 25.59/6.65 | Simplifying 296 yields: % 25.59/6.65 | (297) e1 = e0 % 25.59/6.65 | % 25.59/6.65 | Equations (297) can reduce 231 to: % 25.59/6.65 | (298) $false % 25.59/6.65 | % 25.59/6.65 |-The branch is then unsatisfiable % 25.59/6.65 |-Branch two: % 25.59/6.65 | (4725) all_0_36_36 = e0 & ~ (all_0_35_35 = e2) & ~ (all_0_52_52 = all_0_58_58) % 25.59/6.65 | % 25.59/6.65 | Applying alpha-rule on (4725) yields: % 25.59/6.65 | (4726) all_0_36_36 = e0 % 25.59/6.65 | (4727) ~ (all_0_35_35 = e2) % 25.59/6.65 | (4692) ~ (all_0_52_52 = all_0_58_58) % 25.59/6.65 | % 25.59/6.65 | Combining equations (1007,4726) yields a new equation: % 25.59/6.65 | (654) e3 = e0 % 25.59/6.65 | % 25.59/6.65 | Simplifying 654 yields: % 25.59/6.65 | (534) e3 = e0 % 25.59/6.65 | % 25.59/6.65 | Equations (534) can reduce 84 to: % 25.59/6.65 | (298) $false % 25.59/6.65 | % 25.59/6.65 |-The branch is then unsatisfiable % 25.59/6.65 |-Branch two: % 25.59/6.65 | (4731) all_0_38_38 = e0 & ~ (all_0_37_37 = e1) & ~ (all_0_55_55 = all_0_59_59) % 25.59/6.65 | % 25.59/6.65 | Applying alpha-rule on (4731) yields: % 25.59/6.65 | (4732) all_0_38_38 = e0 % 25.59/6.65 | (4733) ~ (all_0_37_37 = e1) % 25.59/6.65 | (4711) ~ (all_0_55_55 = all_0_59_59) % 25.59/6.65 | % 25.59/6.65 | Equations (10284) can reduce 4733 to: % 25.59/6.65 | (298) $false % 25.59/6.65 | % 25.59/6.65 |-The branch is then unsatisfiable % 25.59/6.65 |-Branch two: % 25.59/6.65 | (4738) all_0_58_58 = e1 & ~ (all_0_51_51 = e0) & ~ (all_0_59_59 = e2) % 25.59/6.65 | % 25.59/6.65 | Applying alpha-rule on (4738) yields: % 25.59/6.65 | (337) all_0_58_58 = e1 % 25.59/6.65 | (1871) ~ (all_0_51_51 = e0) % 25.59/6.65 | (963) ~ (all_0_59_59 = e2) % 25.59/6.65 | % 25.59/6.65 | Combining equations (955,337) yields a new equation: % 25.59/6.65 | (887) e2 = e1 % 25.59/6.65 | % 25.59/6.65 | Simplifying 887 yields: % 25.59/6.65 | (544) e2 = e1 % 25.59/6.65 | % 25.59/6.65 | Equations (544) can reduce 134 to: % 25.59/6.65 | (298) $false % 25.59/6.65 | % 25.59/6.65 |-The branch is then unsatisfiable % 25.59/6.65 |-Branch two: % 25.59/6.65 | (309) ~ (all_0_59_59 = e0) % 25.59/6.65 | (300) all_0_60_60 = e0 % 25.59/6.65 | % 25.59/6.65 | Combining equations (300,2157) yields a new equation: % 25.59/6.65 | (297) e1 = e0 % 25.59/6.65 | % 25.59/6.65 | Equations (297) can reduce 231 to: % 25.59/6.65 | (298) $false % 25.59/6.65 | % 25.59/6.65 |-The branch is then unsatisfiable % 25.59/6.65 |-Branch two: % 25.59/6.65 | (711) ~ (all_0_48_48 = e3) % 25.59/6.65 | (712) all_0_55_55 = e3 | all_0_60_60 = e3 % 25.59/6.65 | % 25.59/6.65 +-Applying beta-rule and splitting (712), into two cases. % 25.59/6.65 |-Branch one: % 25.59/6.65 | (876) all_0_55_55 = e3 % 25.59/6.65 | % 25.59/6.65 | Combining equations (876,385) yields a new equation: % 25.59/6.65 | (877) e3 = e2 % 25.59/6.65 | % 25.59/6.65 | Simplifying 877 yields: % 25.59/6.65 | (567) e3 = e2 % 25.59/6.65 | % 25.59/6.65 | Equations (567) can reduce 213 to: % 25.59/6.65 | (298) $false % 25.59/6.65 | % 25.59/6.65 |-The branch is then unsatisfiable % 25.59/6.65 |-Branch two: % 25.59/6.65 | (1603) ~ (all_0_55_55 = e3) % 25.59/6.65 | (911) all_0_60_60 = e3 % 25.59/6.65 | % 25.59/6.65 | Combining equations (911,2157) yields a new equation: % 25.59/6.65 | (1084) e3 = e1 % 25.59/6.65 | % 25.59/6.65 | Simplifying 1084 yields: % 25.59/6.65 | (420) e3 = e1 % 25.59/6.65 | % 25.59/6.65 | Equations (420) can reduce 214 to: % 25.59/6.65 | (298) $false % 25.59/6.65 | % 25.59/6.65 |-The branch is then unsatisfiable % 25.59/6.65 |-Branch two: % 25.59/6.65 | (890) ~ (all_0_56_56 = e3) % 25.59/6.65 | (891) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 25.59/6.65 | % 25.59/6.65 +-Applying beta-rule and splitting (915), into two cases. % 25.59/6.65 |-Branch one: % 25.59/6.65 | (419) all_0_53_53 = e3 % 25.59/6.65 | % 25.59/6.65 | Combining equations (272,419) yields a new equation: % 25.59/6.66 | (420) e3 = e1 % 25.59/6.66 | % 25.59/6.66 | Equations (420) can reduce 214 to: % 25.59/6.66 | (298) $false % 25.59/6.66 | % 25.59/6.66 |-The branch is then unsatisfiable % 25.59/6.66 |-Branch two: % 25.59/6.66 | (422) ~ (all_0_53_53 = e3) % 25.59/6.66 | (376) all_0_56_56 = e3 % 25.59/6.66 | % 25.59/6.66 | Equations (376) can reduce 890 to: % 25.59/6.66 | (298) $false % 25.59/6.66 | % 25.59/6.66 |-The branch is then unsatisfiable % 25.59/6.66 |-Branch two: % 25.59/6.66 | (847) ~ (all_0_42_42 = e3) % 25.59/6.66 | (475) all_0_43_43 = e3 % 25.59/6.66 | % 25.59/6.66 | Combining equations (1253,475) yields a new equation: % 25.59/6.66 | (534) e3 = e0 % 25.59/6.66 | % 25.59/6.66 | Equations (534) can reduce 84 to: % 25.59/6.66 | (298) $false % 25.59/6.66 | % 25.59/6.66 |-The branch is then unsatisfiable % 25.59/6.66 |-Branch two: % 25.59/6.66 | (301) ~ (all_0_43_43 = e0) % 25.59/6.66 | (2731) all_0_48_48 = e0 | all_0_52_52 = e0 | all_0_60_60 = e0 % 25.59/6.66 | % 25.59/6.66 +-Applying beta-rule and splitting (2731), into two cases. % 25.59/6.66 |-Branch one: % 25.59/6.66 | (717) all_0_48_48 = e0 % 25.59/6.66 | % 25.59/6.66 | Equations (717) can reduce 303 to: % 25.59/6.66 | (298) $false % 25.59/6.66 | % 25.59/6.66 |-The branch is then unsatisfiable % 25.59/6.66 |-Branch two: % 25.59/6.66 | (303) ~ (all_0_48_48 = e0) % 25.59/6.66 | (2886) all_0_52_52 = e0 | all_0_60_60 = e0 % 25.59/6.66 | % 25.59/6.66 +-Applying beta-rule and splitting (133), into two cases. % 25.59/6.66 |-Branch one: % 25.59/6.66 | (326) all_0_52_52 = e1 % 25.59/6.66 | % 25.59/6.66 | Equations (326) can reduce 2161 to: % 25.59/6.66 | (298) $false % 25.59/6.66 | % 25.59/6.66 |-The branch is then unsatisfiable % 25.59/6.66 |-Branch two: % 25.59/6.66 | (2161) ~ (all_0_52_52 = e1) % 25.59/6.66 | (2880) all_0_52_52 = e4 | all_0_52_52 = e2 | all_0_52_52 = e0 % 25.59/6.66 | % 25.59/6.66 +-Applying beta-rule and splitting (2880), into two cases. % 25.59/6.66 |-Branch one: % 25.59/6.66 | (2078) all_0_52_52 = e0 % 25.59/6.66 | % 25.59/6.66 | Equations (2078) can reduce 304 to: % 25.59/6.66 | (298) $false % 25.59/6.66 | % 25.59/6.66 |-The branch is then unsatisfiable % 25.59/6.66 |-Branch two: % 25.59/6.66 | (304) ~ (all_0_52_52 = e0) % 25.59/6.66 | (2984) all_0_52_52 = e4 | all_0_52_52 = e2 % 25.59/6.66 | % 25.59/6.66 +-Applying beta-rule and splitting (2984), into two cases. % 25.59/6.66 |-Branch one: % 25.59/6.66 | (597) all_0_52_52 = e4 % 25.59/6.66 | % 25.59/6.66 | Equations (597) can reduce 304 to: % 25.59/6.66 | (47) ~ (e4 = e0) % 25.59/6.66 | % 25.59/6.66 +-Applying beta-rule and splitting (2886), into two cases. % 25.59/6.66 |-Branch one: % 25.59/6.66 | (2078) all_0_52_52 = e0 % 25.59/6.66 | % 25.59/6.66 | Combining equations (2078,597) yields a new equation: % 25.59/6.66 | (481) e4 = e0 % 25.59/6.66 | % 25.59/6.66 | Equations (481) can reduce 47 to: % 25.59/6.66 | (298) $false % 25.59/6.66 | % 25.59/6.66 |-The branch is then unsatisfiable % 25.59/6.66 |-Branch two: % 25.59/6.66 | (304) ~ (all_0_52_52 = e0) % 25.59/6.66 | (300) all_0_60_60 = e0 % 25.59/6.66 | % 25.59/6.66 | Combining equations (300,2157) yields a new equation: % 25.59/6.66 | (297) e1 = e0 % 25.59/6.66 | % 25.59/6.66 | Equations (297) can reduce 231 to: % 25.59/6.66 | (298) $false % 25.59/6.66 | % 25.59/6.66 |-The branch is then unsatisfiable % 25.59/6.66 |-Branch two: % 25.59/6.66 | (695) ~ (all_0_52_52 = e4) % 25.59/6.66 | (938) all_0_52_52 = e2 % 25.59/6.66 | % 25.59/6.66 | Equations (938) can reduce 941 to: % 25.59/6.66 | (298) $false % 25.59/6.66 | % 25.59/6.66 |-The branch is then unsatisfiable % 25.59/6.66 |-Branch two: % 25.59/6.66 | (652) ~ (all_0_49_49 = e0) % 25.59/6.66 | (506) all_0_49_49 = e4 % 25.59/6.66 | % 25.59/6.66 | Equations (506) can reduce 497 to: % 25.59/6.66 | (298) $false % 25.59/6.66 | % 25.59/6.66 |-The branch is then unsatisfiable % 25.59/6.66 |-Branch two: % 25.59/6.66 | (610) ~ (all_0_44_44 = e4) % 25.59/6.66 | (615) all_0_49_49 = e4 | all_0_56_56 = e4 % 25.59/6.66 | % 25.59/6.66 +-Applying beta-rule and splitting (615), into two cases. % 25.59/6.66 |-Branch one: % 25.59/6.66 | (506) all_0_49_49 = e4 % 25.59/6.66 | % 25.59/6.66 | Equations (506) can reduce 44 to: % 25.59/6.66 | (2335) ~ (all_0_52_52 = e4) % 25.59/6.66 | % 25.59/6.66 | Simplifying 2335 yields: % 25.59/6.66 | (695) ~ (all_0_52_52 = e4) % 25.59/6.66 | % 25.59/6.66 | Equations (506) can reduce 329 to: % 25.59/6.66 | (115) ~ (e4 = e1) % 25.59/6.66 | % 25.59/6.66 +-Applying beta-rule and splitting (129), into two cases. % 25.59/6.66 |-Branch one: % 25.59/6.66 | (637) all_0_49_49 = e0 % 25.59/6.66 | % 25.59/6.66 | Combining equations (506,637) yields a new equation: % 25.59/6.66 | (480) e4 = e0 % 25.59/6.66 | % 25.59/6.66 | Simplifying 480 yields: % 25.59/6.66 | (481) e4 = e0 % 25.59/6.66 | % 25.59/6.66 | Equations (481) can reduce 47 to: % 25.59/6.66 | (298) $false % 25.59/6.66 | % 25.59/6.66 |-The branch is then unsatisfiable % 25.59/6.66 |-Branch two: % 25.59/6.66 | (652) ~ (all_0_49_49 = e0) % 25.59/6.66 | (682) all_0_50_50 = e0 | all_0_51_51 = e0 | all_0_52_52 = e0 % 25.59/6.66 | % 25.59/6.66 | Equations (506) can reduce 652 to: % 25.59/6.66 | (47) ~ (e4 = e0) % 25.59/6.66 | % 25.59/6.66 +-Applying beta-rule and splitting (133), into two cases. % 25.59/6.66 |-Branch one: % 25.59/6.66 | (326) all_0_52_52 = e1 % 25.59/6.66 | % 25.59/6.66 | Equations (326) can reduce 2161 to: % 25.59/6.66 | (298) $false % 25.59/6.66 | % 25.59/6.66 |-The branch is then unsatisfiable % 25.59/6.66 |-Branch two: % 25.59/6.66 | (2161) ~ (all_0_52_52 = e1) % 25.59/6.66 | (2880) all_0_52_52 = e4 | all_0_52_52 = e2 | all_0_52_52 = e0 % 25.59/6.66 | % 25.59/6.66 +-Applying beta-rule and splitting (504), into two cases. % 25.59/6.66 |-Branch one: % 25.59/6.66 | (637) all_0_49_49 = e0 % 25.59/6.66 | % 25.59/6.66 | Combining equations (506,637) yields a new equation: % 25.59/6.66 | (480) e4 = e0 % 25.59/6.66 | % 25.59/6.66 | Simplifying 480 yields: % 25.59/6.66 | (481) e4 = e0 % 25.59/6.66 | % 25.59/6.66 | Equations (481) can reduce 47 to: % 25.59/6.66 | (298) $false % 25.59/6.66 | % 25.59/6.66 |-The branch is then unsatisfiable % 25.59/6.66 |-Branch two: % 25.59/6.66 | (652) ~ (all_0_49_49 = e0) % 25.59/6.66 | (653) all_0_56_56 = e0 % 25.59/6.66 | % 25.59/6.66 | Equations (653) can reduce 195 to: % 25.59/6.66 | (503) ~ (all_0_44_44 = e0) % 25.59/6.66 | % 25.59/6.66 | Equations (653) can reduce 99 to: % 25.59/6.66 | (5460) ~ (all_0_59_59 = e0) % 25.59/6.66 | % 25.59/6.66 | Simplifying 5460 yields: % 25.59/6.66 | (309) ~ (all_0_59_59 = e0) % 25.59/6.66 | % 25.59/6.66 | Equations (653) can reduce 26 to: % 25.59/6.66 | (782) ~ (e2 = e0) % 25.59/6.66 | % 25.59/6.66 | Simplifying 782 yields: % 25.59/6.66 | (139) ~ (e2 = e0) % 25.59/6.66 | % 25.59/6.66 | Equations (653) can reduce 279 to: % 25.59/6.66 | (526) ~ (e1 = e0) % 25.59/6.66 | % 25.59/6.66 | Simplifying 526 yields: % 25.59/6.66 | (231) ~ (e1 = e0) % 25.59/6.66 | % 25.59/6.66 +-Applying beta-rule and splitting (140), into two cases. % 25.59/6.66 |-Branch one: % 25.59/6.66 | (892) all_0_44_44 = e3 % 25.59/6.66 | % 25.59/6.66 | Equations (892) can reduce 273 to: % 25.59/6.66 | (214) ~ (e3 = e1) % 25.59/6.66 | % 25.59/6.66 | Equations (892) can reduce 503 to: % 25.59/6.66 | (84) ~ (e3 = e0) % 25.59/6.66 | % 25.59/6.66 | From (892) and (116) follows: % 25.59/6.66 | (2275) op(e3, e4) = all_0_9_9 % 25.59/6.66 | % 25.59/6.66 | From (892) and (124) follows: % 25.59/6.66 | (561) op(e3, e4) = e3 % 25.59/6.66 | % 25.59/6.66 +-Applying beta-rule and splitting (101), into two cases. % 25.59/6.66 |-Branch one: % 25.59/6.66 | (466) all_0_42_42 = e0 % 25.59/6.66 | % 25.59/6.66 | From (466) and (80) follows: % 25.59/6.66 | (5129) op(e0, e1) = all_0_5_5 % 25.59/6.66 | % 25.59/6.66 +-Applying beta-rule and splitting (23), into two cases. % 25.59/6.66 |-Branch one: % 25.59/6.66 | (755) all_0_40_40 = e3 % 25.59/6.66 | % 25.59/6.66 | Combining equations (747,755) yields a new equation: % 25.59/6.66 | (420) e3 = e1 % 25.59/6.66 | % 25.59/6.66 | Equations (420) can reduce 214 to: % 25.59/6.66 | (298) $false % 25.59/6.66 | % 25.59/6.66 |-The branch is then unsatisfiable % 25.59/6.66 |-Branch two: % 25.59/6.66 | (425) ~ (all_0_40_40 = e3) % 25.59/6.66 | (1257) all_0_42_42 = e3 | all_0_43_43 = e3 % 25.59/6.66 | % 25.59/6.66 +-Applying beta-rule and splitting (251), into two cases. % 25.59/6.66 |-Branch one: % 25.59/6.66 | (469) all_0_42_42 = e3 % 25.59/6.66 | % 25.59/6.66 | Combining equations (466,469) yields a new equation: % 25.59/6.66 | (534) e3 = e0 % 25.59/6.66 | % 25.59/6.66 | Equations (534) can reduce 84 to: % 25.59/6.66 | (298) $false % 25.59/6.66 | % 25.59/6.66 |-The branch is then unsatisfiable % 25.59/6.66 |-Branch two: % 25.59/6.66 | (847) ~ (all_0_42_42 = e3) % 25.59/6.66 | (1512) all_0_47_47 = e3 | all_0_59_59 = e3 % 25.59/6.66 | % 25.59/6.66 | Equations (466) can reduce 847 to: % 25.59/6.66 | (620) ~ (e3 = e0) % 25.59/6.66 | % 25.59/6.66 | Simplifying 620 yields: % 25.59/6.66 | (84) ~ (e3 = e0) % 25.59/6.66 | % 25.59/6.66 +-Applying beta-rule and splitting (96), into two cases. % 25.59/6.66 |-Branch one: % 25.59/6.66 | (376) all_0_56_56 = e3 % 25.59/6.66 | % 25.59/6.66 | Combining equations (653,376) yields a new equation: % 25.59/6.66 | (534) e3 = e0 % 25.59/6.66 | % 25.59/6.66 | Equations (534) can reduce 84 to: % 25.59/6.66 | (298) $false % 25.59/6.66 | % 25.59/6.66 |-The branch is then unsatisfiable % 25.59/6.66 |-Branch two: % 25.59/6.66 | (890) ~ (all_0_56_56 = e3) % 25.59/6.66 | (891) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 25.59/6.66 | % 25.59/6.66 | Equations (653) can reduce 890 to: % 25.59/6.66 | (620) ~ (e3 = e0) % 25.59/6.66 | % 25.59/6.66 | Simplifying 620 yields: % 25.59/6.66 | (84) ~ (e3 = e0) % 25.59/6.66 | % 25.59/6.66 +-Applying beta-rule and splitting (1257), into two cases. % 25.59/6.66 |-Branch one: % 25.59/6.66 | (469) all_0_42_42 = e3 % 25.59/6.66 | % 25.59/6.66 | Combining equations (466,469) yields a new equation: % 25.59/6.66 | (534) e3 = e0 % 25.59/6.66 | % 25.59/6.66 | Equations (534) can reduce 84 to: % 25.59/6.66 | (298) $false % 25.59/6.66 | % 25.59/6.66 |-The branch is then unsatisfiable % 25.59/6.66 |-Branch two: % 25.59/6.66 | (847) ~ (all_0_42_42 = e3) % 25.59/6.66 | (475) all_0_43_43 = e3 % 25.59/6.66 | % 25.59/6.66 | Equations (475) can reduce 601 to: % 25.59/6.66 | (472) ~ (e4 = e3) % 25.59/6.66 | % 25.59/6.66 | Simplifying 472 yields: % 25.59/6.66 | (184) ~ (e4 = e3) % 25.59/6.66 | % 25.59/6.66 | Equations (475) can reduce 188 to: % 25.59/6.66 | (213) ~ (e3 = e2) % 25.59/6.66 | % 25.59/6.66 | From (475) and (181) follows: % 25.59/6.66 | (4830) op(e3, e4) = all_0_6_6 % 25.59/6.66 | % 25.59/6.66 | From (475) and (34) follows: % 25.59/6.66 | (3509) op(e4, e0) = e3 % 25.59/6.66 | % 25.59/6.66 +-Applying beta-rule and splitting (45), into two cases. % 25.59/6.66 |-Branch one: % 25.59/6.66 | (520) all_0_43_43 = e4 % 25.59/6.66 | % 25.59/6.66 | Combining equations (475,520) yields a new equation: % 25.59/6.66 | (392) e4 = e3 % 25.59/6.66 | % 25.59/6.66 | Equations (392) can reduce 184 to: % 25.59/6.66 | (298) $false % 25.59/6.66 | % 25.59/6.66 |-The branch is then unsatisfiable % 25.59/6.66 |-Branch two: % 25.59/6.66 | (601) ~ (all_0_43_43 = e4) % 25.59/6.66 | (602) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_60_60 = e4 % 25.59/6.66 | % 25.59/6.66 +-Applying beta-rule and splitting (2880), into two cases. % 25.59/6.66 |-Branch one: % 25.59/6.66 | (2078) all_0_52_52 = e0 % 25.59/6.66 | % 25.59/6.66 | Equations (2078) can reduce 695 to: % 25.59/6.66 | (485) ~ (e4 = e0) % 25.59/6.66 | % 25.59/6.66 | Simplifying 485 yields: % 25.59/6.66 | (47) ~ (e4 = e0) % 25.59/6.66 | % 25.59/6.66 | Equations (2078) can reduce 2161 to: % 25.59/6.66 | (526) ~ (e1 = e0) % 25.59/6.66 | % 25.59/6.66 | Simplifying 526 yields: % 25.59/6.66 | (231) ~ (e1 = e0) % 25.59/6.66 | % 25.59/6.66 | From (2078) and (49) follows: % 25.59/6.66 | (5588) op(e0, e2) = all_0_23_23 % 25.59/6.66 | % 25.59/6.66 | From (2078) and (217) follows: % 25.59/6.66 | (2455) op(e2, e0) = e0 % 25.59/6.66 | % 25.59/6.66 +-Applying beta-rule and splitting (1512), into two cases. % 25.59/6.66 |-Branch one: % 25.59/6.66 | (591) all_0_47_47 = e3 % 25.59/6.66 | % 25.59/6.66 | Combining equations (368,591) yields a new equation: % 25.59/6.66 | (567) e3 = e2 % 25.59/6.66 | % 25.59/6.66 | Equations (567) can reduce 213 to: % 25.59/6.66 | (298) $false % 25.59/6.66 | % 25.59/6.66 |-The branch is then unsatisfiable % 25.59/6.66 |-Branch two: % 25.59/6.66 | (493) ~ (all_0_47_47 = e3) % 25.59/6.66 | (907) all_0_59_59 = e3 % 25.59/6.66 | % 25.59/6.66 | From (907) and (121) follows: % 25.59/6.66 | (10571) op(e3, e1) = all_0_38_38 % 25.59/6.66 | % 25.59/6.66 | From (907) and (114) follows: % 25.59/6.66 | (2846) op(e0, e1) = e3 % 25.59/6.66 | % 25.59/6.66 +-Applying beta-rule and splitting (602), into two cases. % 25.59/6.66 |-Branch one: % 25.59/6.66 | (687) all_0_48_48 = e4 % 25.59/6.66 | % 25.59/6.66 | From (687) and (225) follows: % 25.59/6.66 | (7257) op(e4, e3) = all_0_15_15 % 25.59/6.66 | % 25.59/6.66 | From (687) and (91) follows: % 25.59/6.66 | (6164) op(e4, e0) = all_0_16_16 % 25.59/6.66 | % 25.59/6.66 | Instantiating formula (206) with e4, e3, all_0_15_15, e1 and discharging atoms op(e4, e3) = all_0_15_15, op(e4, e3) = e1, yields: % 25.59/6.66 | (9137) all_0_15_15 = e1 % 25.59/6.66 | % 25.59/6.66 | Instantiating formula (206) with e4, e0, e3, all_0_16_16 and discharging atoms op(e4, e0) = all_0_16_16, op(e4, e0) = e3, yields: % 25.59/6.66 | (4669) all_0_16_16 = e3 % 25.59/6.66 | % 25.59/6.66 | Instantiating formula (206) with e3, e4, all_0_9_9, all_0_6_6 and discharging atoms op(e3, e4) = all_0_6_6, op(e3, e4) = all_0_9_9, yields: % 25.59/6.66 | (10578) all_0_6_6 = all_0_9_9 % 25.59/6.66 | % 25.59/6.66 | Instantiating formula (206) with e3, e4, e3, all_0_6_6 and discharging atoms op(e3, e4) = all_0_6_6, op(e3, e4) = e3, yields: % 25.59/6.66 | (10277) all_0_6_6 = e3 % 25.59/6.66 | % 25.59/6.66 | Instantiating formula (206) with e3, e1, all_0_38_38, e2 and discharging atoms op(e3, e1) = all_0_38_38, op(e3, e1) = e2, yields: % 25.59/6.66 | (10580) all_0_38_38 = e2 % 25.59/6.66 | % 25.59/6.66 | Instantiating formula (206) with e0, e2, all_0_23_23, e2 and discharging atoms op(e0, e2) = all_0_23_23, op(e0, e2) = e2, yields: % 25.59/6.66 | (10581) all_0_23_23 = e2 % 25.59/6.66 | % 25.59/6.66 | Instantiating formula (206) with e0, e1, e3, all_0_5_5 and discharging atoms op(e0, e1) = all_0_5_5, op(e0, e1) = e3, yields: % 25.59/6.66 | (5195) all_0_5_5 = e3 % 25.59/6.66 | % 25.59/6.67 | Combining equations (10578,10277) yields a new equation: % 25.59/6.67 | (9697) all_0_9_9 = e3 % 25.59/6.67 | % 25.59/6.67 | Simplifying 9697 yields: % 25.59/6.67 | (2277) all_0_9_9 = e3 % 25.59/6.67 | % 25.59/6.67 | From (9137) and (7257) follows: % 25.59/6.67 | (9570) op(e4, e3) = e1 % 25.59/6.67 | % 25.59/6.67 | From (4669) and (6164) follows: % 25.59/6.67 | (3509) op(e4, e0) = e3 % 25.59/6.67 | % 25.59/6.67 | From (2277) and (2275) follows: % 25.59/6.67 | (561) op(e3, e4) = e3 % 25.59/6.67 | % 25.59/6.67 | From (10580) and (10571) follows: % 25.59/6.67 | (1703) op(e3, e1) = e2 % 25.59/6.67 | % 25.59/6.67 | From (10581) and (5588) follows: % 25.59/6.67 | (981) op(e0, e2) = e2 % 25.59/6.67 | % 25.59/6.67 | From (5195) and (5129) follows: % 25.59/6.67 | (2846) op(e0, e1) = e3 % 25.59/6.67 | % 25.59/6.67 +-Applying beta-rule and splitting (55), into two cases. % 25.59/6.67 |-Branch one: % 25.59/6.67 | (529) unit = e1 % 25.59/6.67 | % 25.59/6.67 | From (529) and (74) follows: % 25.59/6.67 | (531) op(e3, e1) = e3 % 25.59/6.67 | % 25.59/6.67 | From (529) and (66) follows: % 25.59/6.67 | (406) op(e2, e1) = e2 % 25.59/6.67 | % 25.59/6.67 | From (529) and (67) follows: % 25.59/6.67 | (2913) op(e0, e1) = e0 % 25.59/6.67 | % 25.59/6.67 | Instantiating formula (206) with e3, e1, e3, e2 and discharging atoms op(e3, e1) = e3, op(e3, e1) = e2, yields: % 25.59/6.67 | (567) e3 = e2 % 25.59/6.67 | % 25.59/6.67 | Instantiating formula (206) with e2, e1, e2, e1 and discharging atoms op(e2, e1) = e2, op(e2, e1) = e1, yields: % 25.59/6.67 | (544) e2 = e1 % 25.59/6.67 | % 25.59/6.67 | Instantiating formula (206) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields: % 25.59/6.67 | (534) e3 = e0 % 25.59/6.67 | % 25.59/6.67 | Combining equations (567,534) yields a new equation: % 25.59/6.67 | (568) e2 = e0 % 25.59/6.67 | % 25.59/6.67 | Simplifying 568 yields: % 25.59/6.67 | (569) e2 = e0 % 25.59/6.67 | % 25.59/6.67 | Combining equations (569,544) yields a new equation: % 25.59/6.67 | (297) e1 = e0 % 25.59/6.67 | % 25.59/6.67 | Equations (297) can reduce 231 to: % 25.59/6.67 | (298) $false % 25.59/6.67 | % 25.59/6.67 |-The branch is then unsatisfiable % 25.59/6.67 |-Branch two: % 25.59/6.67 | (540) ~ (unit = e1) % 25.59/6.67 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 25.59/6.67 | % 25.59/6.67 +-Applying beta-rule and splitting (541), into two cases. % 25.59/6.67 |-Branch one: % 25.59/6.67 | (542) unit = e0 % 25.59/6.67 | % 25.59/6.67 | Equations (542) can reduce 540 to: % 25.59/6.67 | (526) ~ (e1 = e0) % 25.59/6.67 | % 25.59/6.67 | Simplifying 526 yields: % 25.59/6.67 | (231) ~ (e1 = e0) % 25.59/6.67 | % 25.59/6.67 | From (542) and (66) follows: % 25.59/6.67 | (2384) op(e2, e0) = e2 % 25.59/6.67 | % 25.59/6.67 | From (542) and (221) follows: % 25.59/6.67 | (543) op(e1, e0) = e1 % 25.59/6.67 | % 25.59/6.67 | Instantiating formula (206) with e2, e0, e2, e0 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 25.59/6.67 | (569) e2 = e0 % 25.59/6.67 | % 25.59/6.67 | Instantiating formula (206) with e1, e0, e1, e2 and discharging atoms op(e1, e0) = e2, op(e1, e0) = e1, yields: % 25.59/6.67 | (544) e2 = e1 % 25.59/6.67 | % 25.59/6.67 | Combining equations (544,569) yields a new equation: % 25.59/6.67 | (296) e1 = e0 % 25.59/6.67 | % 25.59/6.67 | Simplifying 296 yields: % 25.59/6.67 | (297) e1 = e0 % 25.59/6.67 | % 25.59/6.67 | Equations (297) can reduce 231 to: % 25.59/6.67 | (298) $false % 25.59/6.67 | % 25.59/6.67 |-The branch is then unsatisfiable % 25.59/6.67 |-Branch two: % 25.59/6.67 | (546) ~ (unit = e0) % 25.59/6.67 | (547) unit = e4 | unit = e3 | unit = e2 % 25.59/6.67 | % 25.59/6.67 +-Applying beta-rule and splitting (547), into two cases. % 25.59/6.67 |-Branch one: % 25.59/6.67 | (548) unit = e3 % 25.59/6.67 | % 25.59/6.67 | From (548) and (162) follows: % 25.59/6.67 | (499) op(e3, e4) = e4 % 25.59/6.67 | % 25.59/6.67 | From (548) and (243) follows: % 25.59/6.67 | (763) op(e4, e3) = e4 % 25.59/6.67 | % 25.59/6.67 | From (548) and (67) follows: % 25.59/6.67 | (803) op(e0, e3) = e0 % 25.59/6.67 | % 25.59/6.67 | Instantiating formula (206) with e4, e3, e4, e1 and discharging atoms op(e4, e3) = e4, op(e4, e3) = e1, yields: % 25.59/6.67 | (535) e4 = e1 % 25.59/6.67 | % 25.59/6.67 | Instantiating formula (206) with e3, e4, e4, e3 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e3, yields: % 25.59/6.67 | (392) e4 = e3 % 25.59/6.67 | % 25.59/6.67 | Instantiating formula (206) with e0, e3, e0, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e0, yields: % 25.59/6.67 | (481) e4 = e0 % 25.59/6.67 | % 25.59/6.67 | Combining equations (535,392) yields a new equation: % 25.59/6.67 | (420) e3 = e1 % 25.59/6.67 | % 25.59/6.67 | Combining equations (481,392) yields a new equation: % 25.59/6.67 | (534) e3 = e0 % 25.59/6.67 | % 25.59/6.67 | Combining equations (534,420) yields a new equation: % 25.59/6.67 | (297) e1 = e0 % 25.59/6.67 | % 25.59/6.67 | Equations (297) can reduce 231 to: % 25.59/6.67 | (298) $false % 25.59/6.67 | % 25.59/6.67 |-The branch is then unsatisfiable % 25.59/6.67 |-Branch two: % 25.59/6.67 | (555) ~ (unit = e3) % 25.59/6.67 | (556) unit = e4 | unit = e2 % 25.59/6.67 | % 25.59/6.67 +-Applying beta-rule and splitting (556), into two cases. % 25.59/6.67 |-Branch one: % 25.59/6.67 | (557) unit = e4 % 25.59/6.67 | % 25.59/6.67 | From (557) and (143) follows: % 25.59/6.67 | (809) op(e4, e3) = e3 % 25.59/6.67 | % 25.59/6.67 | From (557) and (60) follows: % 25.59/6.67 | (559) op(e4, e0) = e0 % 25.59/6.67 | % 25.59/6.67 | Instantiating formula (206) with e4, e3, e3, e1 and discharging atoms op(e4, e3) = e3, op(e4, e3) = e1, yields: % 25.59/6.67 | (420) e3 = e1 % 25.59/6.67 | % 25.59/6.67 | Instantiating formula (206) with e4, e0, e0, e3 and discharging atoms op(e4, e0) = e3, op(e4, e0) = e0, yields: % 25.59/6.67 | (534) e3 = e0 % 25.59/6.67 | % 25.59/6.67 | Combining equations (420,534) yields a new equation: % 25.59/6.67 | (296) e1 = e0 % 25.59/6.67 | % 25.59/6.67 | Simplifying 296 yields: % 25.59/6.67 | (297) e1 = e0 % 25.59/6.67 | % 25.59/6.67 | Equations (297) can reduce 231 to: % 25.59/6.67 | (298) $false % 25.59/6.67 | % 25.59/6.67 |-The branch is then unsatisfiable % 25.59/6.67 |-Branch two: % 25.59/6.67 | (573) ~ (unit = e4) % 25.59/6.67 | (574) unit = e2 % 25.59/6.67 | % 25.59/6.67 | From (574) and (74) follows: % 25.59/6.67 | (1207) op(e3, e2) = e3 % 25.59/6.67 | % 25.59/6.67 | From (574) and (66) follows: % 25.59/6.67 | (577) op(e2, e2) = e2 % 25.59/6.67 | % 25.59/6.67 | From (574) and (67) follows: % 25.59/6.67 | (578) op(e0, e2) = e0 % 25.59/6.67 | % 25.59/6.67 | Instantiating formula (206) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 25.59/6.67 | (420) e3 = e1 % 25.59/6.67 | % 25.59/6.67 | Instantiating formula (206) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 25.59/6.67 | (567) e3 = e2 % 25.59/6.67 | % 25.59/6.67 | Instantiating formula (206) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 25.59/6.67 | (569) e2 = e0 % 25.59/6.67 | % 25.59/6.67 | Combining equations (420,567) yields a new equation: % 25.59/6.67 | (544) e2 = e1 % 25.59/6.67 | % 25.59/6.67 | Combining equations (544,569) yields a new equation: % 25.59/6.67 | (296) e1 = e0 % 25.59/6.67 | % 25.59/6.67 | Simplifying 296 yields: % 25.59/6.67 | (297) e1 = e0 % 25.59/6.67 | % 25.59/6.67 | Equations (297) can reduce 231 to: % 25.59/6.67 | (298) $false % 25.59/6.67 | % 25.59/6.67 |-The branch is then unsatisfiable % 25.59/6.67 |-Branch two: % 25.59/6.67 | (690) ~ (all_0_48_48 = e4) % 25.59/6.67 | (691) all_0_52_52 = e4 | all_0_60_60 = e4 % 25.59/6.67 | % 25.59/6.67 +-Applying beta-rule and splitting (691), into two cases. % 25.59/6.67 |-Branch one: % 25.59/6.67 | (597) all_0_52_52 = e4 % 25.59/6.67 | % 25.59/6.67 | Combining equations (2078,597) yields a new equation: % 25.59/6.67 | (481) e4 = e0 % 25.59/6.67 | % 25.59/6.67 | Equations (481) can reduce 47 to: % 25.59/6.67 | (298) $false % 25.59/6.67 | % 25.59/6.67 |-The branch is then unsatisfiable % 25.59/6.67 |-Branch two: % 25.59/6.67 | (695) ~ (all_0_52_52 = e4) % 25.59/6.67 | (696) all_0_60_60 = e4 % 25.59/6.67 | % 25.59/6.67 | Combining equations (696,2157) yields a new equation: % 25.59/6.67 | (598) e4 = e1 % 25.59/6.67 | % 25.59/6.67 | Simplifying 598 yields: % 25.59/6.67 | (535) e4 = e1 % 25.59/6.67 | % 25.59/6.67 | Equations (535) can reduce 115 to: % 25.59/6.67 | (298) $false % 25.59/6.67 | % 25.59/6.67 |-The branch is then unsatisfiable % 25.59/6.67 |-Branch two: % 25.59/6.67 | (304) ~ (all_0_52_52 = e0) % 25.59/6.67 | (2984) all_0_52_52 = e4 | all_0_52_52 = e2 % 25.59/6.67 | % 25.59/6.67 +-Applying beta-rule and splitting (602), into two cases. % 25.59/6.67 |-Branch one: % 25.59/6.67 | (687) all_0_48_48 = e4 % 25.59/6.67 | % 25.59/6.67 | Equations (687) can reduce 88 to: % 25.59/6.67 | (2335) ~ (all_0_52_52 = e4) % 25.59/6.67 | % 25.59/6.67 | Simplifying 2335 yields: % 25.59/6.67 | (695) ~ (all_0_52_52 = e4) % 25.59/6.67 | % 25.59/6.67 +-Applying beta-rule and splitting (2984), into two cases. % 25.59/6.67 |-Branch one: % 25.59/6.67 | (597) all_0_52_52 = e4 % 25.59/6.67 | % 25.59/6.67 | Equations (597) can reduce 695 to: % 25.59/6.67 | (298) $false % 25.59/6.67 | % 25.59/6.67 |-The branch is then unsatisfiable % 25.59/6.67 |-Branch two: % 25.59/6.67 | (695) ~ (all_0_52_52 = e4) % 25.59/6.67 | (938) all_0_52_52 = e2 % 25.59/6.67 | % 25.59/6.67 | Equations (938) can reduce 941 to: % 25.59/6.67 | (298) $false % 25.59/6.67 | % 25.59/6.67 |-The branch is then unsatisfiable % 25.59/6.67 |-Branch two: % 25.59/6.67 | (690) ~ (all_0_48_48 = e4) % 25.59/6.67 | (691) all_0_52_52 = e4 | all_0_60_60 = e4 % 25.59/6.67 | % 25.59/6.67 +-Applying beta-rule and splitting (691), into two cases. % 25.59/6.67 |-Branch one: % 25.59/6.67 | (597) all_0_52_52 = e4 % 25.59/6.67 | % 25.59/6.67 | Equations (597) can reduce 695 to: % 25.59/6.67 | (298) $false % 25.59/6.67 | % 25.59/6.67 |-The branch is then unsatisfiable % 25.59/6.67 |-Branch two: % 25.59/6.67 | (695) ~ (all_0_52_52 = e4) % 25.59/6.67 | (696) all_0_60_60 = e4 % 25.59/6.67 | % 25.59/6.67 | Combining equations (696,2157) yields a new equation: % 25.59/6.67 | (598) e4 = e1 % 25.59/6.67 | % 25.59/6.67 | Simplifying 598 yields: % 25.59/6.67 | (535) e4 = e1 % 25.59/6.67 | % 25.59/6.67 | Equations (535) can reduce 115 to: % 25.59/6.67 | (298) $false % 25.59/6.67 | % 25.59/6.67 |-The branch is then unsatisfiable % 25.59/6.67 |-Branch two: % 25.59/6.67 | (463) ~ (all_0_42_42 = e0) % 25.59/6.67 | (841) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_59_59 = e0 % 25.59/6.67 | % 25.59/6.67 +-Applying beta-rule and splitting (682), into two cases. % 25.59/6.67 |-Branch one: % 25.59/6.67 | (781) all_0_50_50 = e0 % 25.59/6.67 | % 25.59/6.67 | Combining equations (781,838) yields a new equation: % 25.59/6.67 | (569) e2 = e0 % 25.59/6.67 | % 25.59/6.67 | Equations (569) can reduce 139 to: % 25.59/6.67 | (298) $false % 25.59/6.67 | % 25.59/6.67 |-The branch is then unsatisfiable % 25.59/6.67 |-Branch two: % 25.59/6.67 | (661) ~ (all_0_50_50 = e0) % 25.59/6.67 | (2072) all_0_51_51 = e0 | all_0_52_52 = e0 % 25.59/6.67 | % 25.59/6.67 | Equations (838) can reduce 661 to: % 25.59/6.67 | (139) ~ (e2 = e0) % 25.59/6.67 | % 25.59/6.67 +-Applying beta-rule and splitting (841), into two cases. % 25.59/6.67 |-Branch one: % 25.59/6.67 | (525) all_0_47_47 = e0 % 25.59/6.67 | % 25.59/6.67 | Combining equations (368,525) yields a new equation: % 25.59/6.67 | (568) e2 = e0 % 25.59/6.67 | % 25.59/6.67 | Simplifying 568 yields: % 25.59/6.67 | (569) e2 = e0 % 25.59/6.67 | % 25.59/6.67 | Equations (569) can reduce 139 to: % 25.59/6.67 | (298) $false % 25.59/6.67 | % 25.59/6.67 |-The branch is then unsatisfiable % 25.59/6.67 |-Branch two: % 25.59/6.67 | (589) ~ (all_0_47_47 = e0) % 25.59/6.67 | (2624) all_0_51_51 = e0 | all_0_59_59 = e0 % 25.59/6.67 | % 25.59/6.67 +-Applying beta-rule and splitting (2072), into two cases. % 25.59/6.67 |-Branch one: % 25.59/6.67 | (1730) all_0_51_51 = e0 % 25.59/6.67 | % 25.59/6.67 | Combining equations (1704,1730) yields a new equation: % 25.59/6.67 | (296) e1 = e0 % 25.59/6.67 | % 25.59/6.67 | Simplifying 296 yields: % 25.59/6.67 | (297) e1 = e0 % 25.59/6.67 | % 25.59/6.67 | Equations (297) can reduce 231 to: % 25.59/6.67 | (298) $false % 25.59/6.67 | % 25.59/6.67 |-The branch is then unsatisfiable % 25.59/6.67 |-Branch two: % 25.59/6.67 | (1871) ~ (all_0_51_51 = e0) % 25.59/6.67 | (2078) all_0_52_52 = e0 % 25.59/6.67 | % 25.59/6.67 | Equations (2078) can reduce 2161 to: % 25.59/6.67 | (526) ~ (e1 = e0) % 25.59/6.67 | % 25.59/6.67 | Simplifying 526 yields: % 25.59/6.67 | (231) ~ (e1 = e0) % 25.59/6.67 | % 25.59/6.67 +-Applying beta-rule and splitting (2624), into two cases. % 25.59/6.67 |-Branch one: % 25.59/6.67 | (1730) all_0_51_51 = e0 % 25.59/6.67 | % 25.59/6.67 | Combining equations (1730,1704) yields a new equation: % 25.59/6.67 | (297) e1 = e0 % 25.59/6.67 | % 25.59/6.67 | Equations (297) can reduce 231 to: % 25.59/6.67 | (298) $false % 25.59/6.67 | % 25.59/6.67 |-The branch is then unsatisfiable % 25.59/6.67 |-Branch two: % 25.59/6.67 | (1871) ~ (all_0_51_51 = e0) % 25.59/6.67 | (2627) all_0_59_59 = e0 % 25.59/6.67 | % 25.59/6.67 | Equations (2627) can reduce 309 to: % 25.59/6.67 | (298) $false % 25.59/6.67 | % 25.59/6.67 |-The branch is then unsatisfiable % 25.59/6.67 |-Branch two: % 25.59/6.67 | (914) ~ (all_0_44_44 = e3) % 25.59/6.67 | (915) all_0_53_53 = e3 | all_0_56_56 = e3 % 25.59/6.67 | % 25.59/6.67 +-Applying beta-rule and splitting (915), into two cases. % 25.59/6.67 |-Branch one: % 25.59/6.67 | (419) all_0_53_53 = e3 % 25.59/6.67 | % 25.59/6.67 | Combining equations (272,419) yields a new equation: % 25.59/6.67 | (420) e3 = e1 % 25.59/6.67 | % 25.59/6.67 | Equations (420) can reduce 214 to: % 25.59/6.67 | (298) $false % 25.59/6.67 | % 25.59/6.67 |-The branch is then unsatisfiable % 25.59/6.67 |-Branch two: % 25.59/6.67 | (422) ~ (all_0_53_53 = e3) % 25.59/6.67 | (376) all_0_56_56 = e3 % 25.59/6.67 | % 25.59/6.67 | Combining equations (653,376) yields a new equation: % 25.59/6.67 | (534) e3 = e0 % 25.59/6.67 | % 25.59/6.67 | Equations (534) can reduce 84 to: % 25.59/6.67 | (298) $false % 25.59/6.67 | % 25.59/6.67 |-The branch is then unsatisfiable % 25.59/6.67 |-Branch two: % 25.59/6.67 | (497) ~ (all_0_49_49 = e4) % 25.59/6.67 | (390) all_0_56_56 = e4 % 25.59/6.67 | % 25.59/6.67 | Equations (390) can reduce 394 to: % 25.59/6.67 | (298) $false % 25.59/6.67 | % 25.59/6.67 |-The branch is then unsatisfiable % 25.59/6.67 |-Branch two: % 25.59/6.67 | (398) ~ (all_0_50_50 = e2) % 25.59/6.67 | (1906) all_0_51_51 = e2 | all_0_52_52 = e2 % 25.59/6.67 | % 25.59/6.67 +-Applying beta-rule and splitting (1906), into two cases. % 25.59/6.67 |-Branch one: % 25.59/6.67 | (396) all_0_51_51 = e2 % 25.59/6.67 | % 25.59/6.68 | Combining equations (1704,396) yields a new equation: % 25.59/6.68 | (544) e2 = e1 % 25.59/6.68 | % 25.59/6.68 | Equations (544) can reduce 134 to: % 25.59/6.68 | (298) $false % 25.59/6.68 | % 25.59/6.68 |-The branch is then unsatisfiable % 25.59/6.68 |-Branch two: % 25.59/6.68 | (885) ~ (all_0_51_51 = e2) % 25.59/6.68 | (938) all_0_52_52 = e2 % 25.59/6.68 | % 25.59/6.68 | Equations (938) can reduce 941 to: % 25.59/6.68 | (298) $false % 25.59/6.68 | % 25.59/6.68 |-The branch is then unsatisfiable % 25.59/6.68 |-Branch two: % 25.59/6.68 | (361) ~ (all_0_47_47 = e2) % 25.59/6.68 | (371) all_0_51_51 = e2 | all_0_59_59 = e2 % 25.59/6.68 | % 25.59/6.68 +-Applying beta-rule and splitting (1665), into two cases. % 25.59/6.68 |-Branch one: % 25.59/6.68 | (368) all_0_47_47 = e2 % 25.59/6.68 | % 25.59/6.68 | Equations (368) can reduce 361 to: % 25.59/6.68 | (298) $false % 25.59/6.68 | % 25.59/6.68 |-The branch is then unsatisfiable % 25.59/6.68 |-Branch two: % 25.59/6.68 | (361) ~ (all_0_47_47 = e2) % 25.59/6.68 | (743) all_0_48_48 = e2 % 25.59/6.68 | % 25.59/6.68 | Equations (743) can reduce 363 to: % 25.59/6.68 | (298) $false % 25.59/6.68 | % 25.59/6.68 |-The branch is then unsatisfiable % 25.59/6.68 |-Branch two: % 25.59/6.68 | (344) ~ (all_0_51_51 = e1) % 25.59/6.68 | (326) all_0_52_52 = e1 % 25.59/6.68 | % 25.59/6.68 | Equations (326) can reduce 2161 to: % 25.59/6.68 | (298) $false % 25.59/6.68 | % 25.59/6.68 |-The branch is then unsatisfiable % 25.59/6.68 |-Branch two: % 25.59/6.68 | (254) ~ (all_0_40_40 = e1) % 25.59/6.68 | (750) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e0 % 25.59/6.68 | % 25.59/6.68 +-Applying beta-rule and splitting (750), into two cases. % 25.59/6.68 |-Branch one: % 25.59/6.68 | (461) all_0_40_40 = e0 % 25.59/6.68 | % 25.59/6.68 | Equations (461) can reduce 745 to: % 25.59/6.68 | (298) $false % 25.59/6.68 | % 25.59/6.68 |-The branch is then unsatisfiable % 25.59/6.68 |-Branch two: % 25.59/6.68 | (745) ~ (all_0_40_40 = e0) % 25.59/6.68 | (754) all_0_40_40 = e4 | all_0_40_40 = e3 % 25.59/6.68 | % 25.59/6.68 +-Applying beta-rule and splitting (754), into two cases. % 25.59/6.68 |-Branch one: % 25.59/6.68 | (755) all_0_40_40 = e3 % 25.59/6.68 | % 25.59/6.68 | Equations (755) can reduce 425 to: % 25.59/6.68 | (298) $false % 25.59/6.68 | % 25.59/6.68 |-The branch is then unsatisfiable % 25.59/6.68 |-Branch two: % 25.59/6.68 | (425) ~ (all_0_40_40 = e3) % 25.59/6.68 | (479) all_0_40_40 = e4 % 25.59/6.68 | % 25.59/6.68 | Equations (479) can reduce 483 to: % 25.59/6.68 | (298) $false % 25.59/6.68 | % 25.59/6.68 |-The branch is then unsatisfiable % 25.59/6.68 |-Branch two: % 25.59/6.68 | (875) ~ (all_0_54_54 = e3) % 25.59/6.68 | (382) all_0_54_54 = e2 % 25.59/6.68 | % 25.59/6.68 | Equations (382) can reduce 373 to: % 25.59/6.68 | (298) $false % 25.59/6.68 | % 25.59/6.68 |-The branch is then unsatisfiable % 25.59/6.68 |-Branch two: % 25.59/6.68 | (260) ~ (all_0_46_46 = e1) % 25.59/6.68 | (985) all_0_46_46 = e4 | all_0_46_46 = e2 % 25.59/6.68 | % 25.59/6.68 +-Applying beta-rule and splitting (7138), into two cases. % 25.59/6.68 |-Branch one: % 25.59/6.68 | (982) all_0_46_46 = e1 % 25.59/6.68 | % 25.59/6.68 | Equations (982) can reduce 260 to: % 25.59/6.68 | (298) $false % 25.59/6.68 | % 25.59/6.68 |-The branch is then unsatisfiable % 25.59/6.68 |-Branch two: % 25.59/6.68 | (260) ~ (all_0_46_46 = e1) % 25.59/6.68 | (337) all_0_58_58 = e1 % 25.59/6.68 | % 25.59/6.68 | Combining equations (955,337) yields a new equation: % 25.59/6.68 | (887) e2 = e1 % 25.59/6.68 | % 25.59/6.68 | Simplifying 887 yields: % 25.59/6.68 | (544) e2 = e1 % 25.59/6.68 | % 25.59/6.68 | Equations (544) can reduce 134 to: % 25.59/6.68 | (298) $false % 25.59/6.68 | % 25.59/6.68 |-The branch is then unsatisfiable % 25.59/6.68 |-Branch two: % 25.59/6.68 | (299) ~ (all_0_45_45 = e0) % 25.59/6.68 | (300) all_0_60_60 = e0 % 25.59/6.68 | % 25.59/6.68 | Combining equations (2157,300) yields a new equation: % 25.59/6.68 | (296) e1 = e0 % 25.59/6.68 | % 25.59/6.68 | Simplifying 296 yields: % 25.59/6.68 | (297) e1 = e0 % 25.59/6.68 | % 25.59/6.68 | Equations (297) can reduce 231 to: % 25.59/6.68 | (298) $false % 25.59/6.68 | % 25.59/6.68 |-The branch is then unsatisfiable % 25.59/6.68 |-Branch two: % 25.59/6.68 | (3699) ~ (all_0_53_53 = e1) % 25.59/6.68 | (419) all_0_53_53 = e3 % 25.59/6.68 | % 25.59/6.68 | Equations (419) can reduce 78 to: % 25.59/6.68 | (914) ~ (all_0_44_44 = e3) % 25.59/6.68 | % 25.59/6.68 | Equations (419) can reduce 56 to: % 25.59/6.68 | (3703) ~ (all_0_54_54 = e3) % 25.59/6.68 | % 25.59/6.68 | Simplifying 3703 yields: % 25.59/6.68 | (875) ~ (all_0_54_54 = e3) % 25.59/6.68 | % 25.59/6.68 | Equations (419) can reduce 175 to: % 25.59/6.68 | (1327) ~ (all_0_56_56 = e3) % 25.59/6.68 | % 25.59/6.68 | Simplifying 1327 yields: % 25.59/6.68 | (890) ~ (all_0_56_56 = e3) % 25.59/6.68 | % 25.59/6.68 | Equations (419) can reduce 3699 to: % 25.59/6.68 | (214) ~ (e3 = e1) % 25.59/6.68 | % 25.59/6.68 | From (419) and (180) follows: % 25.59/6.68 | (3709) op(e3, e4) = all_0_26_26 % 25.59/6.68 | % 25.59/6.68 | From (419) and (197) follows: % 25.59/6.68 | (3710) op(e3, e1) = all_0_25_25 % 25.59/6.68 | % 25.59/6.68 | From (419) and (209) follows: % 25.59/6.68 | (3711) op(e1, e4) = e3 % 25.59/6.68 | % 25.59/6.68 | Instantiating formula (206) with e3, e4, all_0_26_26, all_0_44_44 and discharging atoms op(e3, e4) = all_0_26_26, op(e3, e4) = all_0_44_44, yields: % 25.59/6.68 | (3712) all_0_26_26 = all_0_44_44 % 25.59/6.68 | % 25.59/6.68 | Instantiating formula (206) with e3, e1, all_0_25_25, all_0_47_47 and discharging atoms op(e3, e1) = all_0_25_25, op(e3, e1) = all_0_47_47, yields: % 25.59/6.68 | (3713) all_0_25_25 = all_0_47_47 % 25.59/6.68 | % 25.59/6.68 | From (3712) and (3709) follows: % 25.59/6.68 | (124) op(e3, e4) = all_0_44_44 % 25.59/6.68 | % 25.59/6.68 | From (3713) and (3710) follows: % 25.59/6.68 | (158) op(e3, e1) = all_0_47_47 % 25.59/6.68 | % 25.59/6.68 +-Applying beta-rule and splitting (69), into two cases. % 25.59/6.68 |-Branch one: % 25.59/6.68 | (284) all_0_45_45 = e1 % 25.59/6.68 | % 25.59/6.68 | Equations (284) can reduce 219 to: % 25.59/6.68 | (254) ~ (all_0_40_40 = e1) % 25.59/6.68 | % 25.59/6.68 | Equations (284) can reduce 39 to: % 25.59/6.68 | (259) ~ (all_0_46_46 = e1) % 25.59/6.68 | % 25.59/6.68 | Simplifying 259 yields: % 25.59/6.68 | (260) ~ (all_0_46_46 = e1) % 25.59/6.68 | % 25.59/6.68 | Equations (284) can reduce 17 to: % 25.59/6.68 | (3721) ~ (all_0_50_50 = e1) % 25.59/6.68 | % 25.59/6.68 | Simplifying 3721 yields: % 25.59/6.68 | (330) ~ (all_0_50_50 = e1) % 25.59/6.68 | % 25.59/6.68 | Equations (284) can reduce 220 to: % 25.59/6.68 | (274) ~ (all_0_54_54 = e1) % 25.59/6.68 | % 25.59/6.68 | Simplifying 274 yields: % 25.59/6.68 | (275) ~ (all_0_54_54 = e1) % 25.59/6.68 | % 25.59/6.68 +-Applying beta-rule and splitting (79), into two cases. % 25.59/6.68 |-Branch one: % 25.59/6.68 | (295) all_0_45_45 = e0 % 25.59/6.68 | % 25.59/6.68 | Combining equations (284,295) yields a new equation: % 25.59/6.68 | (296) e1 = e0 % 25.59/6.68 | % 25.59/6.68 | Simplifying 296 yields: % 25.59/6.68 | (297) e1 = e0 % 25.59/6.68 | % 25.59/6.68 | Equations (297) can reduce 231 to: % 25.59/6.68 | (298) $false % 25.59/6.68 | % 25.59/6.68 |-The branch is then unsatisfiable % 25.59/6.68 |-Branch two: % 25.59/6.68 | (299) ~ (all_0_45_45 = e0) % 25.59/6.68 | (300) all_0_60_60 = e0 % 25.59/6.68 | % 25.59/6.68 | Equations (300) can reduce 249 to: % 25.59/6.68 | (303) ~ (all_0_48_48 = e0) % 25.59/6.68 | % 25.59/6.68 | Equations (300) can reduce 200 to: % 25.59/6.68 | (306) ~ (all_0_56_56 = e0) % 25.59/6.68 | % 25.59/6.68 | Equations (300) can reduce 62 to: % 25.59/6.68 | (307) ~ (all_0_57_57 = e0) % 25.59/6.68 | % 25.59/6.68 | Equations (300) can reduce 7 to: % 25.59/6.68 | (199) ~ (all_0_58_58 = e0) % 25.59/6.68 | % 25.59/6.68 | Equations (300) can reduce 5 to: % 25.59/6.68 | (309) ~ (all_0_59_59 = e0) % 25.59/6.68 | % 25.59/6.68 +-Applying beta-rule and splitting (137), into two cases. % 25.59/6.68 |-Branch one: % 25.59/6.68 | (1669) all_0_54_54 = e1 % 25.59/6.68 | % 25.59/6.68 | Equations (1669) can reduce 275 to: % 25.59/6.68 | (298) $false % 25.59/6.68 | % 25.59/6.68 |-The branch is then unsatisfiable % 25.59/6.68 |-Branch two: % 25.59/6.68 | (275) ~ (all_0_54_54 = e1) % 25.59/6.68 | (1672) all_0_54_54 = e3 | all_0_54_54 = e2 % 25.59/6.68 | % 25.59/6.68 +-Applying beta-rule and splitting (186), into two cases. % 25.59/6.68 |-Branch one: % 25.59/6.68 | (253) all_0_41_41 = e1 % 25.59/6.68 | % 25.59/6.68 | Combining equations (603,253) yields a new equation: % 25.59/6.68 | (598) e4 = e1 % 25.59/6.68 | % 25.59/6.68 | Simplifying 598 yields: % 25.59/6.68 | (535) e4 = e1 % 25.59/6.68 | % 25.59/6.68 | Equations (535) can reduce 115 to: % 25.59/6.68 | (298) $false % 25.59/6.68 | % 25.59/6.68 |-The branch is then unsatisfiable % 25.59/6.68 |-Branch two: % 25.59/6.68 | (7077) ~ (all_0_41_41 = e1) % 25.59/6.68 | (7138) all_0_46_46 = e1 | all_0_58_58 = e1 % 25.59/6.68 | % 25.59/6.68 +-Applying beta-rule and splitting (1672), into two cases. % 25.59/6.68 |-Branch one: % 25.59/6.68 | (424) all_0_54_54 = e3 % 25.59/6.68 | % 25.59/6.68 | Equations (424) can reduce 875 to: % 25.59/6.68 | (298) $false % 25.59/6.68 | % 25.59/6.68 |-The branch is then unsatisfiable % 25.59/6.68 |-Branch two: % 25.59/6.68 | (875) ~ (all_0_54_54 = e3) % 25.59/6.68 | (382) all_0_54_54 = e2 % 25.59/6.68 | % 25.59/6.68 | Equations (382) can reduce 81 to: % 25.59/6.68 | (2247) ~ (all_0_57_57 = e2) % 25.59/6.68 | % 25.59/6.68 | Simplifying 2247 yields: % 25.59/6.68 | (922) ~ (all_0_57_57 = e2) % 25.59/6.68 | % 25.59/6.68 | Equations (382) can reduce 275 to: % 25.59/6.68 | (134) ~ (e2 = e1) % 25.59/6.68 | % 25.59/6.68 | From (382) and (36) follows: % 25.59/6.68 | (1018) op(e2, e3) = all_0_28_28 % 25.59/6.68 | % 25.59/6.68 | From (382) and (154) follows: % 25.59/6.68 | (1020) op(e1, e3) = e2 % 25.59/6.68 | % 25.59/6.68 +-Applying beta-rule and splitting (28), into two cases. % 25.59/6.68 |-Branch one: % 25.59/6.68 | (1029) all_0_55_55 = e1 % 25.59/6.68 | % 25.59/6.68 | Equations (1029) can reduce 112 to: % 25.59/6.68 | (258) ~ (all_0_43_43 = e1) % 25.59/6.68 | % 25.59/6.68 | Equations (1029) can reduce 176 to: % 25.59/6.68 | (290) ~ (all_0_48_48 = e1) % 25.59/6.68 | % 25.59/6.68 | Equations (1029) can reduce 42 to: % 25.59/6.68 | (2161) ~ (all_0_52_52 = e1) % 25.59/6.68 | % 25.59/6.68 | Equations (1029) can reduce 228 to: % 25.59/6.68 | (347) ~ (e4 = e1) % 25.59/6.68 | % 25.59/6.68 | Simplifying 347 yields: % 25.59/6.68 | (115) ~ (e4 = e1) % 25.59/6.68 | % 25.59/6.68 | From (1029) and (222) follows: % 25.59/6.68 | (3757) op(e1, e1) = all_0_29_29 % 25.59/6.68 | % 25.59/6.68 +-Applying beta-rule and splitting (15), into two cases. % 25.59/6.68 |-Branch one: % 25.59/6.68 | (747) all_0_40_40 = e1 % 25.59/6.68 | % 25.59/6.68 | Equations (747) can reduce 254 to: % 25.59/6.68 | (298) $false % 25.59/6.68 | % 25.59/6.68 |-The branch is then unsatisfiable % 25.59/6.68 |-Branch two: % 25.59/6.68 | (254) ~ (all_0_40_40 = e1) % 25.59/6.68 | (8746) all_0_41_41 = e1 | all_0_42_42 = e1 | all_0_43_43 = e1 % 25.59/6.68 | % 25.59/6.68 +-Applying beta-rule and splitting (8746), into two cases. % 25.59/6.68 |-Branch one: % 25.59/6.68 | (253) all_0_41_41 = e1 % 25.59/6.68 | % 25.59/6.68 | Combining equations (603,253) yields a new equation: % 25.59/6.68 | (598) e4 = e1 % 25.59/6.68 | % 25.59/6.68 | Simplifying 598 yields: % 25.59/6.68 | (535) e4 = e1 % 25.59/6.68 | % 25.59/6.68 | Equations (535) can reduce 115 to: % 25.59/6.68 | (298) $false % 25.59/6.68 | % 25.59/6.68 |-The branch is then unsatisfiable % 25.59/6.68 |-Branch two: % 25.59/6.68 | (7077) ~ (all_0_41_41 = e1) % 25.59/6.68 | (8752) all_0_42_42 = e1 | all_0_43_43 = e1 % 25.59/6.68 | % 25.59/6.68 +-Applying beta-rule and splitting (8752), into two cases. % 25.59/6.68 |-Branch one: % 25.59/6.68 | (453) all_0_42_42 = e1 % 25.59/6.68 | % 25.59/6.68 | Equations (453) can reduce 204 to: % 25.59/6.68 | (254) ~ (all_0_40_40 = e1) % 25.59/6.68 | % 25.59/6.68 | Equations (453) can reduce 242 to: % 25.59/6.68 | (6113) ~ (all_0_47_47 = e1) % 25.59/6.68 | % 25.59/6.68 | Simplifying 6113 yields: % 25.59/6.68 | (343) ~ (all_0_47_47 = e1) % 25.59/6.68 | % 25.59/6.68 | Equations (453) can reduce 153 to: % 25.59/6.68 | (2227) ~ (all_0_51_51 = e1) % 25.59/6.68 | % 25.59/6.68 | Simplifying 2227 yields: % 25.59/6.68 | (344) ~ (all_0_51_51 = e1) % 25.59/6.68 | % 25.59/6.68 | From (453) and (19) follows: % 25.59/6.68 | (10840) op(e1, e4) = all_0_4_4 % 25.59/6.68 | % 25.59/6.68 | From (453) and (80) follows: % 25.59/6.68 | (10841) op(e1, e1) = all_0_5_5 % 25.59/6.68 | % 25.59/6.68 +-Applying beta-rule and splitting (192), into two cases. % 25.59/6.68 |-Branch one: % 25.59/6.68 | (982) all_0_46_46 = e1 % 25.59/6.68 | % 25.59/6.68 | Equations (982) can reduce 260 to: % 25.59/6.68 | (298) $false % 25.59/6.68 | % 25.59/6.68 |-The branch is then unsatisfiable % 25.59/6.68 |-Branch two: % 25.59/6.68 | (260) ~ (all_0_46_46 = e1) % 25.59/6.68 | (985) all_0_46_46 = e4 | all_0_46_46 = e2 % 25.59/6.68 | % 25.59/6.68 +-Applying beta-rule and splitting (985), into two cases. % 25.59/6.68 |-Branch one: % 25.59/6.68 | (933) all_0_46_46 = e4 % 25.59/6.68 | % 25.59/6.68 | Equations (933) can reduce 936 to: % 25.59/6.68 | (298) $false % 25.59/6.68 | % 25.59/6.68 |-The branch is then unsatisfiable % 25.59/6.68 |-Branch two: % 25.59/6.68 | (936) ~ (all_0_46_46 = e4) % 25.59/6.68 | (358) all_0_46_46 = e2 % 25.59/6.68 | % 25.59/6.68 | Equations (358) can reduce 120 to: % 25.59/6.68 | (107) ~ (all_0_44_44 = e2) % 25.59/6.68 | % 25.59/6.68 | Equations (358) can reduce 179 to: % 25.59/6.68 | (360) ~ (all_0_47_47 = e2) % 25.59/6.68 | % 25.59/6.68 | Simplifying 360 yields: % 25.59/6.68 | (361) ~ (all_0_47_47 = e2) % 25.59/6.68 | % 25.59/6.68 | Equations (358) can reduce 174 to: % 25.59/6.68 | (362) ~ (all_0_48_48 = e2) % 25.59/6.68 | % 25.59/6.68 | Simplifying 362 yields: % 25.59/6.68 | (363) ~ (all_0_48_48 = e2) % 25.59/6.68 | % 25.59/6.68 | Equations (358) can reduce 260 to: % 25.59/6.68 | (134) ~ (e2 = e1) % 25.59/6.68 | % 25.59/6.68 | From (358) and (240) follows: % 25.59/6.68 | (366) op(e2, e3) = all_0_11_11 % 25.59/6.68 | % 25.59/6.68 | From (358) and (144) follows: % 25.59/6.68 | (367) op(e2, e2) = all_0_12_12 % 25.59/6.68 | % 25.59/6.68 +-Applying beta-rule and splitting (51), into two cases. % 25.59/6.68 |-Branch one: % 25.59/6.68 | (337) all_0_58_58 = e1 % 25.59/6.68 | % 25.59/6.68 | Equations (337) can reduce 230 to: % 25.59/6.68 | (279) ~ (all_0_56_56 = e1) % 25.59/6.68 | % 25.59/6.68 | Equations (337) can reduce 208 to: % 25.59/6.68 | (294) ~ (all_0_57_57 = e1) % 25.59/6.68 | % 25.59/6.68 | Equations (337) can reduce 25 to: % 25.59/6.68 | (2217) ~ (all_0_59_59 = e1) % 25.59/6.68 | % 25.59/6.68 | Simplifying 2217 yields: % 25.59/6.68 | (2156) ~ (all_0_59_59 = e1) % 25.59/6.68 | % 25.59/6.68 | Equations (337) can reduce 199 to: % 25.59/6.68 | (231) ~ (e1 = e0) % 25.59/6.68 | % 25.59/6.68 +-Applying beta-rule and splitting (70), into two cases. % 25.59/6.68 |-Branch one: % 25.59/6.68 | (314) all_0_56_56 = e1 % 25.59/6.68 | % 25.59/6.68 | Equations (314) can reduce 279 to: % 25.59/6.68 | (298) $false % 25.59/6.68 | % 25.59/6.68 |-The branch is then unsatisfiable % 25.59/6.68 |-Branch two: % 25.59/6.68 | (279) ~ (all_0_56_56 = e1) % 25.59/6.68 | (1499) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0 % 25.59/6.68 | % 25.59/6.68 +-Applying beta-rule and splitting (212), into two cases. % 25.59/6.68 |-Branch one: % 25.59/6.68 | (461) all_0_40_40 = e0 % 25.59/6.68 | % 25.59/6.68 | Equations (461) can reduce 64 to: % 25.59/6.68 | (2185) ~ (all_0_57_57 = e0) % 25.59/6.68 | % 25.59/6.68 | Simplifying 2185 yields: % 25.59/6.68 | (307) ~ (all_0_57_57 = e0) % 25.59/6.68 | % 25.59/6.68 | Equations (461) can reduce 254 to: % 25.59/6.68 | (526) ~ (e1 = e0) % 25.59/6.68 | % 25.59/6.68 | Simplifying 526 yields: % 25.59/6.68 | (231) ~ (e1 = e0) % 25.59/6.68 | % 25.59/6.68 | From (461) and (127) follows: % 25.59/6.68 | (7848) op(e0, e4) = all_0_0_0 % 25.59/6.68 | % 25.59/6.68 +-Applying beta-rule and splitting (173), into two cases. % 25.59/6.68 |-Branch one: % 25.59/6.68 | (457) all_0_49_49 = e1 % 25.59/6.68 | % 25.59/6.68 | Equations (457) can reduce 205 to: % 25.59/6.68 | (273) ~ (all_0_44_44 = e1) % 25.59/6.68 | % 25.59/6.68 | Equations (457) can reduce 82 to: % 25.59/6.68 | (2227) ~ (all_0_51_51 = e1) % 25.59/6.68 | % 25.59/6.69 | Simplifying 2227 yields: % 25.59/6.69 | (344) ~ (all_0_51_51 = e1) % 25.59/6.69 | % 25.59/6.69 | Equations (457) can reduce 44 to: % 25.59/6.69 | (2229) ~ (all_0_52_52 = e1) % 25.59/6.69 | % 25.59/6.69 | Simplifying 2229 yields: % 25.59/6.69 | (2161) ~ (all_0_52_52 = e1) % 25.59/6.69 | % 25.59/6.69 | From (457) and (148) follows: % 25.59/6.69 | (4424) op(e1, e4) = all_0_18_18 % 25.59/6.69 | % 25.59/6.69 | From (457) and (110) follows: % 25.59/6.69 | (4425) op(e2, e4) = e1 % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (54), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (500) all_0_44_44 = e0 % 25.59/6.69 | % 25.59/6.69 | Equations (500) can reduce 98 to: % 25.59/6.69 | (769) ~ (all_0_47_47 = e0) % 25.59/6.69 | % 25.59/6.69 | Simplifying 769 yields: % 25.59/6.69 | (589) ~ (all_0_47_47 = e0) % 25.59/6.69 | % 25.59/6.69 | Equations (500) can reduce 6 to: % 25.59/6.69 | (2181) ~ (all_0_48_48 = e0) % 25.59/6.69 | % 25.59/6.69 | Simplifying 2181 yields: % 25.59/6.69 | (303) ~ (all_0_48_48 = e0) % 25.59/6.69 | % 25.59/6.69 | Equations (500) can reduce 195 to: % 25.59/6.69 | (1073) ~ (all_0_56_56 = e0) % 25.59/6.69 | % 25.59/6.69 | Simplifying 1073 yields: % 25.59/6.69 | (306) ~ (all_0_56_56 = e0) % 25.59/6.69 | % 25.59/6.69 | Equations (500) can reduce 107 to: % 25.59/6.69 | (782) ~ (e2 = e0) % 25.59/6.69 | % 25.59/6.69 | Simplifying 782 yields: % 25.59/6.69 | (139) ~ (e2 = e0) % 25.59/6.69 | % 25.59/6.69 | Equations (500) can reduce 273 to: % 25.59/6.69 | (526) ~ (e1 = e0) % 25.59/6.69 | % 25.59/6.69 | Simplifying 526 yields: % 25.59/6.69 | (231) ~ (e1 = e0) % 25.59/6.69 | % 25.59/6.69 | From (500) and (116) follows: % 25.59/6.69 | (4399) op(e0, e4) = all_0_9_9 % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (101), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (466) all_0_42_42 = e0 % 25.59/6.69 | % 25.59/6.69 | Combining equations (453,466) yields a new equation: % 25.59/6.69 | (296) e1 = e0 % 25.59/6.69 | % 25.59/6.69 | Simplifying 296 yields: % 25.59/6.69 | (297) e1 = e0 % 25.59/6.69 | % 25.59/6.69 | Equations (297) can reduce 231 to: % 25.59/6.69 | (298) $false % 25.59/6.69 | % 25.59/6.69 |-The branch is then unsatisfiable % 25.59/6.69 |-Branch two: % 25.59/6.69 | (463) ~ (all_0_42_42 = e0) % 25.59/6.69 | (841) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_59_59 = e0 % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (165), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (487) all_0_47_47 = e1 % 25.59/6.69 | % 25.59/6.69 | Equations (487) can reduce 343 to: % 25.59/6.69 | (298) $false % 25.59/6.69 | % 25.59/6.69 |-The branch is then unsatisfiable % 25.59/6.69 |-Branch two: % 25.59/6.69 | (343) ~ (all_0_47_47 = e1) % 25.59/6.69 | (490) all_0_47_47 = e3 | all_0_47_47 = e2 | all_0_47_47 = e0 % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (490), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (525) all_0_47_47 = e0 % 25.59/6.69 | % 25.59/6.69 | Equations (525) can reduce 589 to: % 25.59/6.69 | (298) $false % 25.59/6.69 | % 25.59/6.69 |-The branch is then unsatisfiable % 25.59/6.69 |-Branch two: % 25.59/6.69 | (589) ~ (all_0_47_47 = e0) % 25.59/6.69 | (590) all_0_47_47 = e3 | all_0_47_47 = e2 % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (590), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (591) all_0_47_47 = e3 % 25.59/6.69 | % 25.59/6.69 | Equations (591) can reduce 224 to: % 25.59/6.69 | (2268) ~ (all_0_48_48 = e3) % 25.59/6.69 | % 25.59/6.69 | Simplifying 2268 yields: % 25.59/6.69 | (711) ~ (all_0_48_48 = e3) % 25.59/6.69 | % 25.59/6.69 | Equations (591) can reduce 171 to: % 25.59/6.69 | (1908) ~ (all_0_51_51 = e3) % 25.59/6.69 | % 25.59/6.69 | Simplifying 1908 yields: % 25.59/6.69 | (241) ~ (all_0_51_51 = e3) % 25.59/6.69 | % 25.59/6.69 | Equations (591) can reduce 119 to: % 25.59/6.69 | (2351) ~ (all_0_59_59 = e3) % 25.59/6.69 | % 25.59/6.69 | Simplifying 2351 yields: % 25.59/6.69 | (910) ~ (all_0_59_59 = e3) % 25.59/6.69 | % 25.59/6.69 | Equations (591) can reduce 589 to: % 25.59/6.69 | (84) ~ (e3 = e0) % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (8), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (318) all_0_48_48 = e1 % 25.59/6.69 | % 25.59/6.69 | Equations (318) can reduce 290 to: % 25.59/6.69 | (298) $false % 25.59/6.69 | % 25.59/6.69 |-The branch is then unsatisfiable % 25.59/6.69 |-Branch two: % 25.59/6.69 | (290) ~ (all_0_48_48 = e1) % 25.59/6.69 | (716) all_0_48_48 = e4 | all_0_48_48 = e3 | all_0_48_48 = e2 | all_0_48_48 = e0 % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (215), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (341) all_0_59_59 = e1 % 25.59/6.69 | % 25.59/6.69 | Equations (341) can reduce 2156 to: % 25.59/6.69 | (298) $false % 25.59/6.69 | % 25.59/6.69 |-The branch is then unsatisfiable % 25.59/6.69 |-Branch two: % 25.59/6.69 | (2156) ~ (all_0_59_59 = e1) % 25.59/6.69 | (2378) all_0_59_59 = e3 | all_0_59_59 = e2 | all_0_59_59 = e0 % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (1499), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (653) all_0_56_56 = e0 % 25.59/6.69 | % 25.59/6.69 | Equations (653) can reduce 306 to: % 25.59/6.69 | (298) $false % 25.59/6.69 | % 25.59/6.69 |-The branch is then unsatisfiable % 25.59/6.69 |-Branch two: % 25.59/6.69 | (306) ~ (all_0_56_56 = e0) % 25.59/6.69 | (1503) all_0_56_56 = e4 | all_0_56_56 = e3 % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (1503), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (376) all_0_56_56 = e3 % 25.59/6.69 | % 25.59/6.69 | Equations (376) can reduce 890 to: % 25.59/6.69 | (298) $false % 25.59/6.69 | % 25.59/6.69 |-The branch is then unsatisfiable % 25.59/6.69 |-Branch two: % 25.59/6.69 | (890) ~ (all_0_56_56 = e3) % 25.59/6.69 | (390) all_0_56_56 = e4 % 25.59/6.69 | % 25.59/6.69 | Equations (390) can reduce 890 to: % 25.59/6.69 | (184) ~ (e4 = e3) % 25.59/6.69 | % 25.59/6.69 | Equations (390) can reduce 306 to: % 25.59/6.69 | (47) ~ (e4 = e0) % 25.59/6.69 | % 25.59/6.69 | From (390) and (48) follows: % 25.59/6.69 | (1387) op(e0, e4) = e4 % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (841), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (525) all_0_47_47 = e0 % 25.59/6.69 | % 25.59/6.69 | Combining equations (591,525) yields a new equation: % 25.59/6.69 | (654) e3 = e0 % 25.59/6.69 | % 25.59/6.69 | Simplifying 654 yields: % 25.59/6.69 | (534) e3 = e0 % 25.59/6.69 | % 25.59/6.69 | Equations (534) can reduce 84 to: % 25.59/6.69 | (298) $false % 25.59/6.69 | % 25.59/6.69 |-The branch is then unsatisfiable % 25.59/6.69 |-Branch two: % 25.59/6.69 | (589) ~ (all_0_47_47 = e0) % 25.59/6.69 | (2624) all_0_51_51 = e0 | all_0_59_59 = e0 % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (125), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (479) all_0_40_40 = e4 % 25.59/6.69 | % 25.59/6.69 | Combining equations (461,479) yields a new equation: % 25.59/6.69 | (481) e4 = e0 % 25.59/6.69 | % 25.59/6.69 | Equations (481) can reduce 47 to: % 25.59/6.69 | (298) $false % 25.59/6.69 | % 25.59/6.69 |-The branch is then unsatisfiable % 25.59/6.69 |-Branch two: % 25.59/6.69 | (483) ~ (all_0_40_40 = e4) % 25.59/6.69 | (484) all_0_45_45 = e4 | all_0_50_50 = e4 | all_0_57_57 = e4 % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (2378), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (2627) all_0_59_59 = e0 % 25.59/6.69 | % 25.59/6.69 | Equations (2627) can reduce 309 to: % 25.59/6.69 | (298) $false % 25.59/6.69 | % 25.59/6.69 |-The branch is then unsatisfiable % 25.59/6.69 |-Branch two: % 25.59/6.69 | (309) ~ (all_0_59_59 = e0) % 25.59/6.69 | (2774) all_0_59_59 = e3 | all_0_59_59 = e2 % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (68), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (475) all_0_43_43 = e3 % 25.59/6.69 | % 25.59/6.69 | Equations (475) can reduce 16 to: % 25.59/6.69 | (2268) ~ (all_0_48_48 = e3) % 25.59/6.69 | % 25.59/6.69 | Simplifying 2268 yields: % 25.59/6.69 | (711) ~ (all_0_48_48 = e3) % 25.59/6.69 | % 25.59/6.69 | Equations (475) can reduce 601 to: % 25.59/6.69 | (472) ~ (e4 = e3) % 25.59/6.69 | % 25.59/6.69 | Simplifying 472 yields: % 25.59/6.69 | (184) ~ (e4 = e3) % 25.59/6.69 | % 25.59/6.69 | From (475) and (11) follows: % 25.59/6.69 | (10955) op(e3, e0) = all_0_7_7 % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (716), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (717) all_0_48_48 = e0 % 25.59/6.69 | % 25.59/6.69 | Equations (717) can reduce 303 to: % 25.59/6.69 | (298) $false % 25.59/6.69 | % 25.59/6.69 |-The branch is then unsatisfiable % 25.59/6.69 |-Branch two: % 25.59/6.69 | (303) ~ (all_0_48_48 = e0) % 25.59/6.69 | (720) all_0_48_48 = e4 | all_0_48_48 = e3 | all_0_48_48 = e2 % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (244), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (743) all_0_48_48 = e2 % 25.59/6.69 | % 25.59/6.69 | Equations (743) can reduce 363 to: % 25.59/6.69 | (298) $false % 25.59/6.69 | % 25.59/6.69 |-The branch is then unsatisfiable % 25.59/6.69 |-Branch two: % 25.59/6.69 | (363) ~ (all_0_48_48 = e2) % 25.59/6.69 | (927) all_0_52_52 = e2 | all_0_55_55 = e2 | all_0_60_60 = e2 % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (96), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (376) all_0_56_56 = e3 % 25.59/6.69 | % 25.59/6.69 | Combining equations (376,390) yields a new equation: % 25.59/6.69 | (392) e4 = e3 % 25.59/6.69 | % 25.59/6.69 | Equations (392) can reduce 184 to: % 25.59/6.69 | (298) $false % 25.59/6.69 | % 25.59/6.69 |-The branch is then unsatisfiable % 25.59/6.69 |-Branch two: % 25.59/6.69 | (890) ~ (all_0_56_56 = e3) % 25.59/6.69 | (891) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (2624), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (1730) all_0_51_51 = e0 % 25.59/6.69 | % 25.59/6.69 | Equations (1730) can reduce 73 to: % 25.59/6.69 | (5460) ~ (all_0_59_59 = e0) % 25.59/6.69 | % 25.59/6.69 | Simplifying 5460 yields: % 25.59/6.69 | (309) ~ (all_0_59_59 = e0) % 25.59/6.69 | % 25.59/6.69 | Equations (1730) can reduce 241 to: % 25.59/6.69 | (620) ~ (e3 = e0) % 25.59/6.69 | % 25.59/6.69 | Simplifying 620 yields: % 25.59/6.69 | (84) ~ (e3 = e0) % 25.59/6.69 | % 25.59/6.69 | Equations (1730) can reduce 344 to: % 25.59/6.69 | (526) ~ (e1 = e0) % 25.59/6.69 | % 25.59/6.69 | Simplifying 526 yields: % 25.59/6.69 | (231) ~ (e1 = e0) % 25.59/6.69 | % 25.59/6.69 | From (1730) and (33) follows: % 25.59/6.69 | (10976) op(e0, e1) = all_0_22_22 % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (891), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (902) all_0_57_57 = e3 % 25.59/6.69 | % 25.59/6.69 | Equations (902) can reduce 922 to: % 25.59/6.69 | (213) ~ (e3 = e2) % 25.59/6.69 | % 25.59/6.69 | From (902) and (3) follows: % 25.59/6.69 | (9659) op(e3, e0) = all_0_33_33 % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (32), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (368) all_0_47_47 = e2 % 25.59/6.69 | % 25.59/6.69 | Combining equations (591,368) yields a new equation: % 25.59/6.69 | (877) e3 = e2 % 25.59/6.69 | % 25.59/6.69 | Simplifying 877 yields: % 25.59/6.69 | (567) e3 = e2 % 25.59/6.69 | % 25.59/6.69 | Equations (567) can reduce 213 to: % 25.59/6.69 | (298) $false % 25.59/6.69 | % 25.59/6.69 |-The branch is then unsatisfiable % 25.59/6.69 |-Branch two: % 25.59/6.69 | (361) ~ (all_0_47_47 = e2) % 25.59/6.69 | (371) all_0_51_51 = e2 | all_0_59_59 = e2 % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (371), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (396) all_0_51_51 = e2 % 25.59/6.69 | % 25.59/6.69 | Combining equations (1730,396) yields a new equation: % 25.59/6.69 | (569) e2 = e0 % 25.59/6.69 | % 25.59/6.69 | Equations (569) can reduce 139 to: % 25.59/6.69 | (298) $false % 25.59/6.69 | % 25.59/6.69 |-The branch is then unsatisfiable % 25.59/6.69 |-Branch two: % 25.59/6.69 | (885) ~ (all_0_51_51 = e2) % 25.59/6.69 | (886) all_0_59_59 = e2 % 25.59/6.69 | % 25.59/6.69 | Equations (886) can reduce 2156 to: % 25.59/6.69 | (134) ~ (e2 = e1) % 25.59/6.69 | % 25.59/6.69 | Equations (886) can reduce 309 to: % 25.59/6.69 | (139) ~ (e2 = e0) % 25.59/6.69 | % 25.59/6.69 | From (886) and (166) follows: % 25.59/6.69 | (8507) op(e2, e0) = all_0_37_37 % 25.59/6.69 | % 25.59/6.69 | From (886) and (114) follows: % 25.59/6.69 | (6209) op(e0, e1) = e2 % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (720), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (491) all_0_48_48 = e3 % 25.59/6.69 | % 25.59/6.69 | Equations (491) can reduce 711 to: % 25.59/6.69 | (298) $false % 25.59/6.69 | % 25.59/6.69 |-The branch is then unsatisfiable % 25.59/6.69 |-Branch two: % 25.59/6.69 | (711) ~ (all_0_48_48 = e3) % 25.59/6.69 | (724) all_0_48_48 = e4 | all_0_48_48 = e2 % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (927), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (938) all_0_52_52 = e2 % 25.59/6.69 | % 25.59/6.69 | Equations (938) can reduce 88 to: % 25.59/6.69 | (363) ~ (all_0_48_48 = e2) % 25.59/6.69 | % 25.59/6.69 | Equations (938) can reduce 2161 to: % 25.59/6.69 | (134) ~ (e2 = e1) % 25.59/6.69 | % 25.59/6.69 | From (938) and (49) follows: % 25.59/6.69 | (3794) op(e2, e2) = all_0_23_23 % 25.59/6.69 | % 25.59/6.69 | From (938) and (71) follows: % 25.59/6.69 | (11003) op(e2, e0) = all_0_24_24 % 25.59/6.69 | % 25.59/6.69 | From (938) and (217) follows: % 25.59/6.69 | (2384) op(e2, e0) = e2 % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (724), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (687) all_0_48_48 = e4 % 25.59/6.69 | % 25.59/6.69 | Equations (687) can reduce 711 to: % 25.59/6.69 | (184) ~ (e4 = e3) % 25.59/6.69 | % 25.59/6.69 | Equations (687) can reduce 290 to: % 25.59/6.69 | (115) ~ (e4 = e1) % 25.59/6.69 | % 25.59/6.69 | From (687) and (202) follows: % 25.59/6.69 | (2323) op(e3, e0) = e4 % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (484), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (1221) all_0_45_45 = e4 % 25.59/6.69 | % 25.59/6.69 | Combining equations (1221,284) yields a new equation: % 25.59/6.69 | (598) e4 = e1 % 25.59/6.69 | % 25.59/6.69 | Simplifying 598 yields: % 25.59/6.69 | (535) e4 = e1 % 25.59/6.69 | % 25.59/6.69 | Equations (535) can reduce 115 to: % 25.59/6.69 | (298) $false % 25.59/6.69 | % 25.59/6.69 |-The branch is then unsatisfiable % 25.59/6.69 |-Branch two: % 25.59/6.69 | (1224) ~ (all_0_45_45 = e4) % 25.59/6.69 | (1225) all_0_50_50 = e4 | all_0_57_57 = e4 % 25.59/6.69 | % 25.59/6.69 +-Applying beta-rule and splitting (1225), into two cases. % 25.59/6.69 |-Branch one: % 25.59/6.69 | (523) all_0_50_50 = e4 % 25.59/6.69 | % 25.59/6.69 | From (523) and (117) follows: % 25.59/6.69 | (8254) op(e4, e2) = all_0_19_19 % 25.59/6.69 | % 25.59/6.69 | From (523) and (207) follows: % 25.59/6.69 | (524) op(e2, e3) = e4 % 25.59/6.69 | % 25.59/6.69 | Instantiating formula (206) with e4, e2, all_0_19_19, e4 and discharging atoms op(e4, e2) = all_0_19_19, op(e4, e2) = e4, yields: % 25.59/6.69 | (8258) all_0_19_19 = e4 % 25.59/6.69 | % 25.59/6.69 | Instantiating formula (206) with e3, e0, all_0_33_33, all_0_7_7 and discharging atoms op(e3, e0) = all_0_7_7, op(e3, e0) = all_0_33_33, yields: % 25.59/6.69 | (5188) all_0_7_7 = all_0_33_33 % 25.59/6.69 | % 25.59/6.69 | Instantiating formula (206) with e3, e0, e4, all_0_7_7 and discharging atoms op(e3, e0) = all_0_7_7, op(e3, e0) = e4, yields: % 25.59/6.69 | (1006) all_0_7_7 = e4 % 25.59/6.69 | % 25.59/6.69 | Instantiating formula (206) with e2, e3, all_0_28_28, all_0_11_11 and discharging atoms op(e2, e3) = all_0_11_11, op(e2, e3) = all_0_28_28, yields: % 25.59/6.70 | (11021) all_0_11_11 = all_0_28_28 % 25.59/6.70 | % 25.59/6.70 | Instantiating formula (206) with e2, e3, e4, all_0_11_11 and discharging atoms op(e2, e3) = all_0_11_11, op(e2, e3) = e4, yields: % 25.59/6.70 | (11022) all_0_11_11 = e4 % 25.59/6.70 | % 25.59/6.70 | Instantiating formula (206) with e2, e2, all_0_12_12, e3 and discharging atoms op(e2, e2) = all_0_12_12, op(e2, e2) = e3, yields: % 25.59/6.70 | (437) all_0_12_12 = e3 % 25.59/6.70 | % 25.59/6.70 | Instantiating formula (206) with e2, e2, all_0_23_23, all_0_12_12 and discharging atoms op(e2, e2) = all_0_12_12, op(e2, e2) = all_0_23_23, yields: % 25.59/6.70 | (3856) all_0_12_12 = all_0_23_23 % 25.59/6.70 | % 25.59/6.70 | Instantiating formula (206) with e2, e0, all_0_37_37, all_0_24_24 and discharging atoms op(e2, e0) = all_0_24_24, op(e2, e0) = all_0_37_37, yields: % 25.59/6.70 | (354) all_0_24_24 = all_0_37_37 % 25.59/6.70 | % 25.59/6.70 | Instantiating formula (206) with e2, e0, e2, all_0_24_24 and discharging atoms op(e2, e0) = all_0_24_24, op(e2, e0) = e2, yields: % 25.59/6.70 | (4690) all_0_24_24 = e2 % 25.59/6.70 | % 25.59/6.70 | Instantiating formula (206) with e1, e4, all_0_4_4, e3 and discharging atoms op(e1, e4) = all_0_4_4, op(e1, e4) = e3, yields: % 25.59/6.70 | (9689) all_0_4_4 = e3 % 25.59/6.70 | % 25.59/6.70 | Instantiating formula (206) with e1, e4, all_0_18_18, all_0_4_4 and discharging atoms op(e1, e4) = all_0_4_4, op(e1, e4) = all_0_18_18, yields: % 25.59/6.70 | (11028) all_0_4_4 = all_0_18_18 % 25.59/6.70 | % 25.59/6.70 | Instantiating formula (206) with e1, e1, all_0_5_5, e4 and discharging atoms op(e1, e1) = all_0_5_5, op(e1, e1) = e4, yields: % 25.59/6.70 | (4642) all_0_5_5 = e4 % 25.59/6.70 | % 25.59/6.70 | Instantiating formula (206) with e1, e1, all_0_29_29, all_0_5_5 and discharging atoms op(e1, e1) = all_0_5_5, op(e1, e1) = all_0_29_29, yields: % 25.59/6.70 | (11030) all_0_5_5 = all_0_29_29 % 25.59/6.70 | % 25.59/6.70 | Instantiating formula (206) with e0, e4, all_0_9_9, all_0_0_0 and discharging atoms op(e0, e4) = all_0_0_0, op(e0, e4) = all_0_9_9, yields: % 25.59/6.70 | (11031) all_0_0_0 = all_0_9_9 % 25.59/6.70 | % 25.59/6.70 | Instantiating formula (206) with e0, e4, e4, all_0_0_0 and discharging atoms op(e0, e4) = all_0_0_0, op(e0, e4) = e4, yields: % 25.59/6.70 | (11032) all_0_0_0 = e4 % 25.59/6.70 | % 25.59/6.70 | Instantiating formula (206) with e0, e1, e2, all_0_22_22 and discharging atoms op(e0, e1) = all_0_22_22, op(e0, e1) = e2, yields: % 25.59/6.70 | (440) all_0_22_22 = e2 % 25.59/6.70 | % 25.59/6.70 | Combining equations (11031,11032) yields a new equation: % 25.59/6.70 | (11034) all_0_9_9 = e4 % 25.59/6.70 | % 25.59/6.70 | Simplifying 11034 yields: % 25.59/6.70 | (4473) all_0_9_9 = e4 % 25.59/6.70 | % 25.59/6.70 | Combining equations (11028,9689) yields a new equation: % 25.59/6.70 | (10282) all_0_18_18 = e3 % 25.59/6.70 | % 25.59/6.70 | Simplifying 10282 yields: % 25.68/6.70 | (4482) all_0_18_18 = e3 % 25.68/6.70 | % 25.68/6.70 | Combining equations (4642,11030) yields a new equation: % 25.68/6.70 | (3769) all_0_29_29 = e4 % 25.68/6.70 | % 25.68/6.70 | Combining equations (1006,5188) yields a new equation: % 25.68/6.70 | (1755) all_0_33_33 = e4 % 25.68/6.70 | % 25.68/6.70 | Combining equations (11021,11022) yields a new equation: % 25.68/6.70 | (11040) all_0_28_28 = e4 % 25.68/6.70 | % 25.68/6.70 | Simplifying 11040 yields: % 25.68/6.70 | (4589) all_0_28_28 = e4 % 25.68/6.70 | % 25.68/6.70 | Combining equations (3856,437) yields a new equation: % 25.68/6.70 | (11042) all_0_23_23 = e3 % 25.68/6.70 | % 25.68/6.70 | Simplifying 11042 yields: % 25.68/6.70 | (3860) all_0_23_23 = e3 % 25.68/6.70 | % 25.68/6.70 | Combining equations (4690,354) yields a new equation: % 25.68/6.70 | (11044) all_0_37_37 = e2 % 25.68/6.70 | % 25.68/6.70 | From (8258) and (8254) follows: % 25.68/6.70 | (576) op(e4, e2) = e4 % 25.68/6.70 | % 25.68/6.70 | From (1755) and (9659) follows: % 25.68/6.70 | (2323) op(e3, e0) = e4 % 25.68/6.70 | % 25.68/6.70 | From (4589) and (1018) follows: % 25.68/6.70 | (524) op(e2, e3) = e4 % 25.68/6.70 | % 25.68/6.70 | From (3860) and (3794) follows: % 25.68/6.70 | (72) op(e2, e2) = e3 % 25.68/6.70 | % 25.68/6.70 | From (11044) and (8507) follows: % 25.68/6.70 | (2384) op(e2, e0) = e2 % 25.68/6.70 | % 25.68/6.70 | From (4482) and (4424) follows: % 25.68/6.70 | (3711) op(e1, e4) = e3 % 25.68/6.70 | % 25.68/6.70 | From (3769) and (3757) follows: % 25.68/6.70 | (227) op(e1, e1) = e4 % 25.68/6.70 | % 25.68/6.70 | From (4473) and (4399) follows: % 25.68/6.70 | (1387) op(e0, e4) = e4 % 25.68/6.70 | % 25.68/6.70 | From (440) and (10976) follows: % 25.68/6.71 | (6209) op(e0, e1) = e2 % 25.68/6.71 | % 25.68/6.71 +-Applying beta-rule and splitting (55), into two cases. % 25.68/6.71 |-Branch one: % 25.68/6.71 | (529) unit = e1 % 25.68/6.71 | % 25.68/6.71 | From (529) and (162) follows: % 25.68/6.71 | (3923) op(e1, e4) = e4 % 25.68/6.71 | % 25.68/6.71 | From (529) and (143) follows: % 25.68/6.71 | (429) op(e1, e3) = e3 % 25.68/6.71 | % 25.68/6.71 | From (529) and (221) follows: % 25.68/6.71 | (532) op(e1, e1) = e1 % 25.68/6.71 | % 25.68/6.71 | From (529) and (67) follows: % 25.68/6.71 | (2913) op(e0, e1) = e0 % 25.68/6.71 | % 25.68/6.71 | Instantiating formula (206) with e1, e4, e4, e3 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e3, yields: % 25.68/6.71 | (392) e4 = e3 % 25.68/6.71 | % 25.68/6.71 | Instantiating formula (206) with e1, e3, e3, e2 and discharging atoms op(e1, e3) = e3, op(e1, e3) = e2, yields: % 25.68/6.71 | (567) e3 = e2 % 25.68/6.71 | % 25.68/6.71 | Instantiating formula (206) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 25.68/6.71 | (535) e4 = e1 % 25.68/6.71 | % 25.68/6.71 | Instantiating formula (206) with e0, e1, e0, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e0, yields: % 25.68/6.71 | (569) e2 = e0 % 25.68/6.71 | % 25.68/6.71 | Combining equations (392,535) yields a new equation: % 25.68/6.71 | (1084) e3 = e1 % 25.68/6.71 | % 25.68/6.71 | Simplifying 1084 yields: % 25.68/6.71 | (420) e3 = e1 % 25.68/6.71 | % 25.68/6.71 | Combining equations (420,567) yields a new equation: % 25.68/6.71 | (544) e2 = e1 % 25.68/6.71 | % 25.68/6.71 | Combining equations (544,569) yields a new equation: % 25.68/6.71 | (296) e1 = e0 % 25.68/6.71 | % 25.68/6.71 | Simplifying 296 yields: % 25.68/6.71 | (297) e1 = e0 % 25.68/6.71 | % 25.68/6.71 | Equations (297) can reduce 231 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (540) ~ (unit = e1) % 25.68/6.71 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 25.68/6.71 | % 25.68/6.71 +-Applying beta-rule and splitting (541), into two cases. % 25.68/6.71 |-Branch one: % 25.68/6.71 | (542) unit = e0 % 25.68/6.71 | % 25.68/6.71 | From (542) and (100) follows: % 25.68/6.71 | (2926) op(e0, e1) = e1 % 25.68/6.71 | % 25.68/6.71 | Instantiating formula (206) with e0, e1, e1, e2 and discharging atoms op(e0, e1) = e2, op(e0, e1) = e1, yields: % 25.68/6.71 | (544) e2 = e1 % 25.68/6.71 | % 25.68/6.71 | Equations (544) can reduce 134 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (546) ~ (unit = e0) % 25.68/6.71 | (547) unit = e4 | unit = e3 | unit = e2 % 25.68/6.71 | % 25.68/6.71 +-Applying beta-rule and splitting (547), into two cases. % 25.68/6.71 |-Branch one: % 25.68/6.71 | (548) unit = e3 % 25.68/6.71 | % 25.68/6.71 | From (548) and (60) follows: % 25.68/6.71 | (549) op(e3, e0) = e0 % 25.68/6.71 | % 25.68/6.71 | From (548) and (66) follows: % 25.68/6.71 | (1415) op(e2, e3) = e2 % 25.68/6.71 | % 25.68/6.71 | From (548) and (221) follows: % 25.68/6.71 | (550) op(e1, e3) = e1 % 25.68/6.71 | % 25.68/6.71 | Instantiating formula (206) with e3, e0, e0, e4 and discharging atoms op(e3, e0) = e4, op(e3, e0) = e0, yields: % 25.68/6.71 | (481) e4 = e0 % 25.68/6.71 | % 25.68/6.71 | Instantiating formula (206) with e2, e3, e2, e4 and discharging atoms op(e2, e3) = e4, op(e2, e3) = e2, yields: % 25.68/6.71 | (409) e4 = e2 % 25.68/6.71 | % 25.68/6.71 | Instantiating formula (206) with e1, e3, e1, e2 and discharging atoms op(e1, e3) = e2, op(e1, e3) = e1, yields: % 25.68/6.71 | (544) e2 = e1 % 25.68/6.71 | % 25.68/6.71 | Combining equations (409,481) yields a new equation: % 25.68/6.71 | (568) e2 = e0 % 25.68/6.71 | % 25.68/6.71 | Simplifying 568 yields: % 25.68/6.71 | (569) e2 = e0 % 25.68/6.71 | % 25.68/6.71 | Combining equations (544,569) yields a new equation: % 25.68/6.71 | (296) e1 = e0 % 25.68/6.71 | % 25.68/6.71 | Simplifying 296 yields: % 25.68/6.71 | (297) e1 = e0 % 25.68/6.71 | % 25.68/6.71 | Equations (297) can reduce 231 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (555) ~ (unit = e3) % 25.68/6.71 | (556) unit = e4 | unit = e2 % 25.68/6.71 | % 25.68/6.71 +-Applying beta-rule and splitting (556), into two cases. % 25.68/6.71 |-Branch one: % 25.68/6.71 | (557) unit = e4 % 25.68/6.71 | % 25.68/6.71 | From (557) and (24) follows: % 25.68/6.71 | (558) op(e4, e2) = e2 % 25.68/6.71 | % 25.68/6.71 | From (557) and (66) follows: % 25.68/6.71 | (811) op(e2, e4) = e2 % 25.68/6.71 | % 25.68/6.71 | From (557) and (67) follows: % 25.68/6.71 | (812) op(e0, e4) = e0 % 25.68/6.71 | % 25.68/6.71 | Instantiating formula (206) with e4, e2, e2, e4 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 25.68/6.71 | (409) e4 = e2 % 25.68/6.71 | % 25.68/6.71 | Instantiating formula (206) with e2, e4, e2, e1 and discharging atoms op(e2, e4) = e2, op(e2, e4) = e1, yields: % 25.68/6.71 | (544) e2 = e1 % 25.68/6.71 | % 25.68/6.71 | Instantiating formula (206) with e0, e4, e0, e4 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e0, yields: % 25.68/6.71 | (481) e4 = e0 % 25.68/6.71 | % 25.68/6.71 | Combining equations (409,481) yields a new equation: % 25.68/6.71 | (568) e2 = e0 % 25.68/6.71 | % 25.68/6.71 | Simplifying 568 yields: % 25.68/6.71 | (569) e2 = e0 % 25.68/6.71 | % 25.68/6.71 | Combining equations (544,569) yields a new equation: % 25.68/6.71 | (296) e1 = e0 % 25.68/6.71 | % 25.68/6.71 | Simplifying 296 yields: % 25.68/6.71 | (297) e1 = e0 % 25.68/6.71 | % 25.68/6.71 | Equations (297) can reduce 231 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (573) ~ (unit = e4) % 25.68/6.71 | (574) unit = e2 % 25.68/6.71 | % 25.68/6.71 | From (574) and (162) follows: % 25.68/6.71 | (767) op(e2, e4) = e4 % 25.68/6.71 | % 25.68/6.71 | From (574) and (143) follows: % 25.68/6.71 | (575) op(e2, e3) = e3 % 25.68/6.71 | % 25.68/6.71 | From (574) and (60) follows: % 25.68/6.71 | (2455) op(e2, e0) = e0 % 25.68/6.71 | % 25.68/6.71 | From (574) and (66) follows: % 25.68/6.71 | (577) op(e2, e2) = e2 % 25.68/6.71 | % 25.68/6.71 | Instantiating formula (206) with e2, e4, e4, e1 and discharging atoms op(e2, e4) = e4, op(e2, e4) = e1, yields: % 25.68/6.71 | (535) e4 = e1 % 25.68/6.71 | % 25.68/6.71 | Instantiating formula (206) with e2, e3, e3, e4 and discharging atoms op(e2, e3) = e4, op(e2, e3) = e3, yields: % 25.68/6.71 | (392) e4 = e3 % 25.68/6.71 | % 25.68/6.71 | Instantiating formula (206) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 25.68/6.71 | (567) e3 = e2 % 25.68/6.71 | % 25.68/6.71 | Instantiating formula (206) with e2, e0, e0, e2 and discharging atoms op(e2, e0) = e2, op(e2, e0) = e0, yields: % 25.68/6.71 | (569) e2 = e0 % 25.68/6.71 | % 25.68/6.71 | Combining equations (392,535) yields a new equation: % 25.68/6.71 | (1084) e3 = e1 % 25.68/6.71 | % 25.68/6.71 | Simplifying 1084 yields: % 25.68/6.71 | (420) e3 = e1 % 25.68/6.71 | % 25.68/6.71 | Combining equations (420,567) yields a new equation: % 25.68/6.71 | (544) e2 = e1 % 25.68/6.71 | % 25.68/6.71 | Combining equations (544,569) yields a new equation: % 25.68/6.71 | (296) e1 = e0 % 25.68/6.71 | % 25.68/6.71 | Simplifying 296 yields: % 25.68/6.71 | (297) e1 = e0 % 25.68/6.71 | % 25.68/6.71 | Equations (297) can reduce 231 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (596) ~ (all_0_50_50 = e4) % 25.68/6.71 | (407) all_0_57_57 = e4 % 25.68/6.71 | % 25.68/6.71 | Combining equations (902,407) yields a new equation: % 25.68/6.71 | (392) e4 = e3 % 25.68/6.71 | % 25.68/6.71 | Equations (392) can reduce 184 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (690) ~ (all_0_48_48 = e4) % 25.68/6.71 | (743) all_0_48_48 = e2 % 25.68/6.71 | % 25.68/6.71 | Equations (743) can reduce 363 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (941) ~ (all_0_52_52 = e2) % 25.68/6.71 | (942) all_0_55_55 = e2 | all_0_60_60 = e2 % 25.68/6.71 | % 25.68/6.71 +-Applying beta-rule and splitting (942), into two cases. % 25.68/6.71 |-Branch one: % 25.68/6.71 | (385) all_0_55_55 = e2 % 25.68/6.71 | % 25.68/6.71 | Combining equations (385,1029) yields a new equation: % 25.68/6.71 | (887) e2 = e1 % 25.68/6.71 | % 25.68/6.71 | Simplifying 887 yields: % 25.68/6.71 | (544) e2 = e1 % 25.68/6.71 | % 25.68/6.71 | Equations (544) can reduce 134 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (968) ~ (all_0_55_55 = e2) % 25.68/6.71 | (964) all_0_60_60 = e2 % 25.68/6.71 | % 25.68/6.71 | Combining equations (964,300) yields a new equation: % 25.68/6.71 | (568) e2 = e0 % 25.68/6.71 | % 25.68/6.71 | Simplifying 568 yields: % 25.68/6.71 | (569) e2 = e0 % 25.68/6.71 | % 25.68/6.71 | Equations (569) can reduce 139 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (905) ~ (all_0_57_57 = e3) % 25.68/6.71 | (906) all_0_59_59 = e3 | all_0_60_60 = e3 % 25.68/6.71 | % 25.68/6.71 +-Applying beta-rule and splitting (906), into two cases. % 25.68/6.71 |-Branch one: % 25.68/6.71 | (907) all_0_59_59 = e3 % 25.68/6.71 | % 25.68/6.71 | Equations (907) can reduce 910 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (910) ~ (all_0_59_59 = e3) % 25.68/6.71 | (911) all_0_60_60 = e3 % 25.68/6.71 | % 25.68/6.71 | Combining equations (300,911) yields a new equation: % 25.68/6.71 | (534) e3 = e0 % 25.68/6.71 | % 25.68/6.71 | Equations (534) can reduce 84 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (1871) ~ (all_0_51_51 = e0) % 25.68/6.71 | (2627) all_0_59_59 = e0 % 25.68/6.71 | % 25.68/6.71 | Equations (2627) can reduce 309 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (471) ~ (all_0_43_43 = e3) % 25.68/6.71 | (478) all_0_48_48 = e3 | all_0_55_55 = e3 | all_0_60_60 = e3 % 25.68/6.71 | % 25.68/6.71 +-Applying beta-rule and splitting (478), into two cases. % 25.68/6.71 |-Branch one: % 25.68/6.71 | (491) all_0_48_48 = e3 % 25.68/6.71 | % 25.68/6.71 | Equations (491) can reduce 711 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (711) ~ (all_0_48_48 = e3) % 25.68/6.71 | (712) all_0_55_55 = e3 | all_0_60_60 = e3 % 25.68/6.71 | % 25.68/6.71 +-Applying beta-rule and splitting (2624), into two cases. % 25.68/6.71 |-Branch one: % 25.68/6.71 | (1730) all_0_51_51 = e0 % 25.68/6.71 | % 25.68/6.71 | Equations (1730) can reduce 241 to: % 25.68/6.71 | (620) ~ (e3 = e0) % 25.68/6.71 | % 25.68/6.71 | Simplifying 620 yields: % 25.68/6.71 | (84) ~ (e3 = e0) % 25.68/6.71 | % 25.68/6.71 +-Applying beta-rule and splitting (4), into two cases. % 25.68/6.71 |-Branch one: % 25.68/6.71 | (755) all_0_40_40 = e3 % 25.68/6.71 | % 25.68/6.71 | Combining equations (755,461) yields a new equation: % 25.68/6.71 | (654) e3 = e0 % 25.68/6.71 | % 25.68/6.71 | Simplifying 654 yields: % 25.68/6.71 | (534) e3 = e0 % 25.68/6.71 | % 25.68/6.71 | Equations (534) can reduce 84 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (425) ~ (all_0_40_40 = e3) % 25.68/6.71 | (1265) all_0_45_45 = e3 | all_0_54_54 = e3 | all_0_57_57 = e3 % 25.68/6.71 | % 25.68/6.71 | Equations (461) can reduce 425 to: % 25.68/6.71 | (620) ~ (e3 = e0) % 25.68/6.71 | % 25.68/6.71 | Simplifying 620 yields: % 25.68/6.71 | (84) ~ (e3 = e0) % 25.68/6.71 | % 25.68/6.71 +-Applying beta-rule and splitting (96), into two cases. % 25.68/6.71 |-Branch one: % 25.68/6.71 | (376) all_0_56_56 = e3 % 25.68/6.71 | % 25.68/6.71 | Combining equations (376,390) yields a new equation: % 25.68/6.71 | (392) e4 = e3 % 25.68/6.71 | % 25.68/6.71 | Equations (392) can reduce 184 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (890) ~ (all_0_56_56 = e3) % 25.68/6.71 | (891) all_0_57_57 = e3 | all_0_59_59 = e3 | all_0_60_60 = e3 % 25.68/6.71 | % 25.68/6.71 +-Applying beta-rule and splitting (891), into two cases. % 25.68/6.71 |-Branch one: % 25.68/6.71 | (902) all_0_57_57 = e3 % 25.68/6.71 | % 25.68/6.71 | Equations (902) can reduce 294 to: % 25.68/6.71 | (214) ~ (e3 = e1) % 25.68/6.71 | % 25.68/6.71 | Equations (902) can reduce 307 to: % 25.68/6.71 | (84) ~ (e3 = e0) % 25.68/6.71 | % 25.68/6.71 +-Applying beta-rule and splitting (712), into two cases. % 25.68/6.71 |-Branch one: % 25.68/6.71 | (876) all_0_55_55 = e3 % 25.68/6.71 | % 25.68/6.71 | Combining equations (1029,876) yields a new equation: % 25.68/6.71 | (420) e3 = e1 % 25.68/6.71 | % 25.68/6.71 | Equations (420) can reduce 214 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (1603) ~ (all_0_55_55 = e3) % 25.68/6.71 | (911) all_0_60_60 = e3 % 25.68/6.71 | % 25.68/6.71 | Combining equations (300,911) yields a new equation: % 25.68/6.71 | (534) e3 = e0 % 25.68/6.71 | % 25.68/6.71 | Equations (534) can reduce 84 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (905) ~ (all_0_57_57 = e3) % 25.68/6.71 | (906) all_0_59_59 = e3 | all_0_60_60 = e3 % 25.68/6.71 | % 25.68/6.71 +-Applying beta-rule and splitting (906), into two cases. % 25.68/6.71 |-Branch one: % 25.68/6.71 | (907) all_0_59_59 = e3 % 25.68/6.71 | % 25.68/6.71 | Equations (907) can reduce 910 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (910) ~ (all_0_59_59 = e3) % 25.68/6.71 | (911) all_0_60_60 = e3 % 25.68/6.71 | % 25.68/6.71 | Combining equations (300,911) yields a new equation: % 25.68/6.71 | (534) e3 = e0 % 25.68/6.71 | % 25.68/6.71 | Equations (534) can reduce 84 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (1871) ~ (all_0_51_51 = e0) % 25.68/6.71 | (2627) all_0_59_59 = e0 % 25.68/6.71 | % 25.68/6.71 | Equations (2627) can reduce 309 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (493) ~ (all_0_47_47 = e3) % 25.68/6.71 | (368) all_0_47_47 = e2 % 25.68/6.71 | % 25.68/6.71 | Equations (368) can reduce 361 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (503) ~ (all_0_44_44 = e0) % 25.68/6.71 | (504) all_0_49_49 = e0 | all_0_56_56 = e0 % 25.68/6.71 | % 25.68/6.71 +-Applying beta-rule and splitting (504), into two cases. % 25.68/6.71 |-Branch one: % 25.68/6.71 | (637) all_0_49_49 = e0 % 25.68/6.71 | % 25.68/6.71 | Combining equations (457,637) yields a new equation: % 25.68/6.71 | (296) e1 = e0 % 25.68/6.71 | % 25.68/6.71 | Simplifying 296 yields: % 25.68/6.71 | (297) e1 = e0 % 25.68/6.71 | % 25.68/6.71 | Equations (297) can reduce 231 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (652) ~ (all_0_49_49 = e0) % 25.68/6.71 | (653) all_0_56_56 = e0 % 25.68/6.71 | % 25.68/6.71 | Equations (653) can reduce 306 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (329) ~ (all_0_49_49 = e1) % 25.68/6.71 | (3829) all_0_50_50 = e1 | all_0_51_51 = e1 | all_0_52_52 = e1 % 25.68/6.71 | % 25.68/6.71 +-Applying beta-rule and splitting (3829), into two cases. % 25.68/6.71 |-Branch one: % 25.68/6.71 | (771) all_0_50_50 = e1 % 25.68/6.71 | % 25.68/6.71 | Equations (771) can reduce 330 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (330) ~ (all_0_50_50 = e1) % 25.68/6.71 | (3841) all_0_51_51 = e1 | all_0_52_52 = e1 % 25.68/6.71 | % 25.68/6.71 +-Applying beta-rule and splitting (3841), into two cases. % 25.68/6.71 |-Branch one: % 25.68/6.71 | (1704) all_0_51_51 = e1 % 25.68/6.71 | % 25.68/6.71 | Equations (1704) can reduce 344 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (344) ~ (all_0_51_51 = e1) % 25.68/6.71 | (326) all_0_52_52 = e1 % 25.68/6.71 | % 25.68/6.71 | Equations (326) can reduce 2161 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (745) ~ (all_0_40_40 = e0) % 25.68/6.71 | (746) all_0_42_42 = e0 | all_0_43_43 = e0 % 25.68/6.71 | % 25.68/6.71 +-Applying beta-rule and splitting (1499), into two cases. % 25.68/6.71 |-Branch one: % 25.68/6.71 | (653) all_0_56_56 = e0 % 25.68/6.71 | % 25.68/6.71 | Equations (653) can reduce 306 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (306) ~ (all_0_56_56 = e0) % 25.68/6.71 | (1503) all_0_56_56 = e4 | all_0_56_56 = e3 % 25.68/6.71 | % 25.68/6.71 +-Applying beta-rule and splitting (104), into two cases. % 25.68/6.71 |-Branch one: % 25.68/6.71 | (461) all_0_40_40 = e0 % 25.68/6.71 | % 25.68/6.71 | Equations (461) can reduce 745 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (745) ~ (all_0_40_40 = e0) % 25.68/6.71 | (1129) all_0_45_45 = e0 | all_0_50_50 = e0 | all_0_57_57 = e0 % 25.68/6.71 | % 25.68/6.71 +-Applying beta-rule and splitting (1503), into two cases. % 25.68/6.71 |-Branch one: % 25.68/6.71 | (376) all_0_56_56 = e3 % 25.68/6.71 | % 25.68/6.71 | Equations (376) can reduce 890 to: % 25.68/6.71 | (298) $false % 25.68/6.71 | % 25.68/6.71 |-The branch is then unsatisfiable % 25.68/6.71 |-Branch two: % 25.68/6.71 | (890) ~ (all_0_56_56 = e3) % 25.68/6.71 | (390) all_0_56_56 = e4 % 25.68/6.71 | % 25.68/6.71 | Equations (390) can reduce 152 to: % 25.68/6.71 | (1980) ~ (all_0_57_57 = e4) % 25.68/6.71 | % 25.68/6.71 | Simplifying 1980 yields: % 25.68/6.72 | (411) ~ (all_0_57_57 = e4) % 25.68/6.72 | % 25.68/6.72 | Equations (390) can reduce 279 to: % 25.68/6.72 | (115) ~ (e4 = e1) % 25.68/6.72 | % 25.68/6.72 | Equations (390) can reduce 306 to: % 25.68/6.72 | (47) ~ (e4 = e0) % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (125), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (479) all_0_40_40 = e4 % 25.68/6.72 | % 25.68/6.72 | Equations (479) can reduce 483 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (483) ~ (all_0_40_40 = e4) % 25.68/6.72 | (484) all_0_45_45 = e4 | all_0_50_50 = e4 | all_0_57_57 = e4 % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (484), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (1221) all_0_45_45 = e4 % 25.68/6.72 | % 25.68/6.72 | Combining equations (284,1221) yields a new equation: % 25.68/6.72 | (535) e4 = e1 % 25.68/6.72 | % 25.68/6.72 | Equations (535) can reduce 115 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (1224) ~ (all_0_45_45 = e4) % 25.68/6.72 | (1225) all_0_50_50 = e4 | all_0_57_57 = e4 % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (1225), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (523) all_0_50_50 = e4 % 25.68/6.72 | % 25.68/6.72 | Equations (523) can reduce 234 to: % 25.68/6.72 | (2335) ~ (all_0_52_52 = e4) % 25.68/6.72 | % 25.68/6.72 | Simplifying 2335 yields: % 25.68/6.72 | (695) ~ (all_0_52_52 = e4) % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (45), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (520) all_0_43_43 = e4 % 25.68/6.72 | % 25.68/6.72 | Equations (520) can reduce 601 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (601) ~ (all_0_43_43 = e4) % 25.68/6.72 | (602) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_60_60 = e4 % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (602), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (687) all_0_48_48 = e4 % 25.68/6.72 | % 25.68/6.72 | Equations (687) can reduce 303 to: % 25.68/6.72 | (47) ~ (e4 = e0) % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (1129), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (295) all_0_45_45 = e0 % 25.68/6.72 | % 25.68/6.72 | Combining equations (284,295) yields a new equation: % 25.68/6.72 | (296) e1 = e0 % 25.68/6.72 | % 25.68/6.72 | Simplifying 296 yields: % 25.68/6.72 | (297) e1 = e0 % 25.68/6.72 | % 25.68/6.72 | Equations (297) can reduce 231 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (299) ~ (all_0_45_45 = e0) % 25.68/6.72 | (1135) all_0_50_50 = e0 | all_0_57_57 = e0 % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (1135), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (781) all_0_50_50 = e0 % 25.68/6.72 | % 25.68/6.72 | Combining equations (523,781) yields a new equation: % 25.68/6.72 | (480) e4 = e0 % 25.68/6.72 | % 25.68/6.72 | Simplifying 480 yields: % 25.68/6.72 | (481) e4 = e0 % 25.68/6.72 | % 25.68/6.72 | Equations (481) can reduce 47 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (661) ~ (all_0_50_50 = e0) % 25.68/6.72 | (1242) all_0_57_57 = e0 % 25.68/6.72 | % 25.68/6.72 | Equations (1242) can reduce 307 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (690) ~ (all_0_48_48 = e4) % 25.68/6.72 | (691) all_0_52_52 = e4 | all_0_60_60 = e4 % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (691), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (597) all_0_52_52 = e4 % 25.68/6.72 | % 25.68/6.72 | Equations (597) can reduce 695 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (695) ~ (all_0_52_52 = e4) % 25.68/6.72 | (696) all_0_60_60 = e4 % 25.68/6.72 | % 25.68/6.72 | Combining equations (696,300) yields a new equation: % 25.68/6.72 | (480) e4 = e0 % 25.68/6.72 | % 25.68/6.72 | Simplifying 480 yields: % 25.68/6.72 | (481) e4 = e0 % 25.68/6.72 | % 25.68/6.72 | Equations (481) can reduce 47 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (596) ~ (all_0_50_50 = e4) % 25.68/6.72 | (407) all_0_57_57 = e4 % 25.68/6.72 | % 25.68/6.72 | Equations (407) can reduce 411 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (262) ~ (all_0_58_58 = e1) % 25.68/6.72 | (3139) all_0_58_58 = e4 | all_0_58_58 = e2 % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (7138), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (982) all_0_46_46 = e1 % 25.68/6.72 | % 25.68/6.72 | Combining equations (358,982) yields a new equation: % 25.68/6.72 | (887) e2 = e1 % 25.68/6.72 | % 25.68/6.72 | Simplifying 887 yields: % 25.68/6.72 | (544) e2 = e1 % 25.68/6.72 | % 25.68/6.72 | Equations (544) can reduce 134 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (260) ~ (all_0_46_46 = e1) % 25.68/6.72 | (337) all_0_58_58 = e1 % 25.68/6.72 | % 25.68/6.72 | Equations (337) can reduce 262 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (256) ~ (all_0_42_42 = e1) % 25.68/6.72 | (310) all_0_43_43 = e1 % 25.68/6.72 | % 25.68/6.72 | Equations (310) can reduce 258 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (277) ~ (all_0_55_55 = e1) % 25.68/6.72 | (1032) all_0_55_55 = e3 | all_0_55_55 = e2 % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (87), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (272) all_0_53_53 = e1 % 25.68/6.72 | % 25.68/6.72 | Combining equations (272,419) yields a new equation: % 25.68/6.72 | (420) e3 = e1 % 25.68/6.72 | % 25.68/6.72 | Equations (420) can reduce 214 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (3699) ~ (all_0_53_53 = e1) % 25.68/6.72 | (3749) all_0_54_54 = e1 | all_0_55_55 = e1 % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (3749), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (1669) all_0_54_54 = e1 % 25.68/6.72 | % 25.68/6.72 | Combining equations (382,1669) yields a new equation: % 25.68/6.72 | (887) e2 = e1 % 25.68/6.72 | % 25.68/6.72 | Simplifying 887 yields: % 25.68/6.72 | (544) e2 = e1 % 25.68/6.72 | % 25.68/6.72 | Equations (544) can reduce 134 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (275) ~ (all_0_54_54 = e1) % 25.68/6.72 | (1029) all_0_55_55 = e1 % 25.68/6.72 | % 25.68/6.72 | Equations (1029) can reduce 277 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (2170) ~ (all_0_45_45 = e1) % 25.68/6.72 | (2157) all_0_60_60 = e1 % 25.68/6.72 | % 25.68/6.72 | Equations (2157) can reduce 77 to: % 25.68/6.72 | (258) ~ (all_0_43_43 = e1) % 25.68/6.72 | % 25.68/6.72 | Equations (2157) can reduce 90 to: % 25.68/6.72 | (277) ~ (all_0_55_55 = e1) % 25.68/6.72 | % 25.68/6.72 | Equations (2157) can reduce 200 to: % 25.68/6.72 | (279) ~ (all_0_56_56 = e1) % 25.68/6.72 | % 25.68/6.72 | Equations (2157) can reduce 7 to: % 25.68/6.72 | (262) ~ (all_0_58_58 = e1) % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (79), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (295) all_0_45_45 = e0 % 25.68/6.72 | % 25.68/6.72 | Equations (295) can reduce 219 to: % 25.68/6.72 | (745) ~ (all_0_40_40 = e0) % 25.68/6.72 | % 25.68/6.72 | Equations (295) can reduce 40 to: % 25.68/6.72 | (503) ~ (all_0_44_44 = e0) % 25.68/6.72 | % 25.68/6.72 | Equations (295) can reduce 39 to: % 25.68/6.72 | (5375) ~ (all_0_46_46 = e0) % 25.68/6.72 | % 25.68/6.72 | Simplifying 5375 yields: % 25.68/6.72 | (151) ~ (all_0_46_46 = e0) % 25.68/6.72 | % 25.68/6.72 | Equations (295) can reduce 102 to: % 25.68/6.72 | (2181) ~ (all_0_48_48 = e0) % 25.68/6.72 | % 25.68/6.72 | Simplifying 2181 yields: % 25.68/6.72 | (303) ~ (all_0_48_48 = e0) % 25.68/6.72 | % 25.68/6.72 | Equations (295) can reduce 17 to: % 25.68/6.72 | (660) ~ (all_0_50_50 = e0) % 25.68/6.72 | % 25.68/6.72 | Simplifying 660 yields: % 25.68/6.72 | (661) ~ (all_0_50_50 = e0) % 25.68/6.72 | % 25.68/6.72 | Equations (295) can reduce 94 to: % 25.68/6.72 | (2185) ~ (all_0_57_57 = e0) % 25.68/6.72 | % 25.68/6.72 | Simplifying 2185 yields: % 25.68/6.72 | (307) ~ (all_0_57_57 = e0) % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (186), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (253) all_0_41_41 = e1 % 25.68/6.72 | % 25.68/6.72 | Combining equations (603,253) yields a new equation: % 25.68/6.72 | (598) e4 = e1 % 25.68/6.72 | % 25.68/6.72 | Simplifying 598 yields: % 25.68/6.72 | (535) e4 = e1 % 25.68/6.72 | % 25.68/6.72 | Equations (535) can reduce 115 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (7077) ~ (all_0_41_41 = e1) % 25.68/6.72 | (7138) all_0_46_46 = e1 | all_0_58_58 = e1 % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (51), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (337) all_0_58_58 = e1 % 25.68/6.72 | % 25.68/6.72 | Equations (337) can reduce 262 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (262) ~ (all_0_58_58 = e1) % 25.68/6.72 | (3139) all_0_58_58 = e4 | all_0_58_58 = e2 % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (3139), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (413) all_0_58_58 = e4 % 25.68/6.72 | % 25.68/6.72 | Equations (413) can reduce 880 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (880) ~ (all_0_58_58 = e4) % 25.68/6.72 | (955) all_0_58_58 = e2 % 25.68/6.72 | % 25.68/6.72 | Equations (955) can reduce 236 to: % 25.68/6.72 | (973) ~ (all_0_46_46 = e2) % 25.68/6.72 | % 25.68/6.72 | Equations (955) can reduce 230 to: % 25.68/6.72 | (26) ~ (all_0_56_56 = e2) % 25.68/6.72 | % 25.68/6.72 | Equations (955) can reduce 262 to: % 25.68/6.72 | (134) ~ (e2 = e1) % 25.68/6.72 | % 25.68/6.72 | From (955) and (191) follows: % 25.68/6.72 | (980) op(e2, e2) = all_0_36_36 % 25.68/6.72 | % 25.68/6.72 | From (955) and (145) follows: % 25.68/6.72 | (4370) op(e2, e0) = all_0_35_35 % 25.68/6.72 | % 25.68/6.72 | From (955) and (185) follows: % 25.68/6.72 | (981) op(e0, e2) = e2 % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (87), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (272) all_0_53_53 = e1 % 25.68/6.72 | % 25.68/6.72 | Combining equations (272,419) yields a new equation: % 25.68/6.72 | (420) e3 = e1 % 25.68/6.72 | % 25.68/6.72 | Equations (420) can reduce 214 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (3699) ~ (all_0_53_53 = e1) % 25.68/6.72 | (3749) all_0_54_54 = e1 | all_0_55_55 = e1 % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (3749), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (1669) all_0_54_54 = e1 % 25.68/6.72 | % 25.68/6.72 | Equations (1669) can reduce 35 to: % 25.68/6.72 | (254) ~ (all_0_40_40 = e1) % 25.68/6.72 | % 25.68/6.72 | Equations (1669) can reduce 196 to: % 25.68/6.72 | (330) ~ (all_0_50_50 = e1) % 25.68/6.72 | % 25.68/6.72 | Equations (1669) can reduce 85 to: % 25.68/6.72 | (276) ~ (all_0_55_55 = e1) % 25.68/6.72 | % 25.68/6.72 | Simplifying 276 yields: % 25.68/6.72 | (277) ~ (all_0_55_55 = e1) % 25.68/6.72 | % 25.68/6.72 | Equations (1669) can reduce 81 to: % 25.68/6.72 | (293) ~ (all_0_57_57 = e1) % 25.68/6.72 | % 25.68/6.72 | Simplifying 293 yields: % 25.68/6.72 | (294) ~ (all_0_57_57 = e1) % 25.68/6.72 | % 25.68/6.72 | From (1669) and (38) follows: % 25.68/6.72 | (5398) op(e1, e1) = all_0_27_27 % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (28), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (1029) all_0_55_55 = e1 % 25.68/6.72 | % 25.68/6.72 | Equations (1029) can reduce 277 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (277) ~ (all_0_55_55 = e1) % 25.68/6.72 | (1032) all_0_55_55 = e3 | all_0_55_55 = e2 % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (7138), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (982) all_0_46_46 = e1 % 25.68/6.72 | % 25.68/6.72 | Equations (982) can reduce 120 to: % 25.68/6.72 | (273) ~ (all_0_44_44 = e1) % 25.68/6.72 | % 25.68/6.72 | Equations (982) can reduce 174 to: % 25.68/6.72 | (289) ~ (all_0_48_48 = e1) % 25.68/6.72 | % 25.68/6.72 | Simplifying 289 yields: % 25.68/6.72 | (290) ~ (all_0_48_48 = e1) % 25.68/6.72 | % 25.68/6.72 | Equations (982) can reduce 27 to: % 25.68/6.72 | (333) ~ (e3 = e1) % 25.68/6.72 | % 25.68/6.72 | Simplifying 333 yields: % 25.68/6.72 | (214) ~ (e3 = e1) % 25.68/6.72 | % 25.68/6.72 | Equations (982) can reduce 973 to: % 25.68/6.72 | (263) ~ (e2 = e1) % 25.68/6.72 | % 25.68/6.72 | Simplifying 263 yields: % 25.68/6.72 | (134) ~ (e2 = e1) % 25.68/6.72 | % 25.68/6.72 | Equations (982) can reduce 151 to: % 25.68/6.72 | (231) ~ (e1 = e0) % 25.68/6.72 | % 25.68/6.72 | From (982) and (13) follows: % 25.68/6.72 | (8888) op(e3, e2) = e1 % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (138), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (382) all_0_54_54 = e2 % 25.68/6.72 | % 25.68/6.72 | Combining equations (382,1669) yields a new equation: % 25.68/6.72 | (887) e2 = e1 % 25.68/6.72 | % 25.68/6.72 | Simplifying 887 yields: % 25.68/6.72 | (544) e2 = e1 % 25.68/6.72 | % 25.68/6.72 | Equations (544) can reduce 134 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (373) ~ (all_0_54_54 = e2) % 25.68/6.72 | (385) all_0_55_55 = e2 % 25.68/6.72 | % 25.68/6.72 | Equations (385) can reduce 176 to: % 25.68/6.72 | (363) ~ (all_0_48_48 = e2) % 25.68/6.72 | % 25.68/6.72 | Equations (385) can reduce 277 to: % 25.68/6.72 | (134) ~ (e2 = e1) % 25.68/6.72 | % 25.68/6.72 | Equations (385) can reduce 178 to: % 25.68/6.72 | (139) ~ (e2 = e0) % 25.68/6.72 | % 25.68/6.72 | From (385) and (146) follows: % 25.68/6.72 | (5411) op(e2, e0) = all_0_30_30 % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (109), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (747) all_0_40_40 = e1 % 25.68/6.72 | % 25.68/6.72 | Equations (747) can reduce 254 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (254) ~ (all_0_40_40 = e1) % 25.68/6.72 | (750) all_0_40_40 = e4 | all_0_40_40 = e3 | all_0_40_40 = e0 % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (248), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (948) all_0_45_45 = e2 % 25.68/6.72 | % 25.68/6.72 | Combining equations (295,948) yields a new equation: % 25.68/6.72 | (569) e2 = e0 % 25.68/6.72 | % 25.68/6.72 | Equations (569) can reduce 139 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (951) ~ (all_0_45_45 = e2) % 25.68/6.72 | (952) all_0_50_50 = e2 | all_0_54_54 = e2 | all_0_57_57 = e2 % 25.68/6.72 | % 25.68/6.72 | Equations (295) can reduce 951 to: % 25.68/6.72 | (782) ~ (e2 = e0) % 25.68/6.72 | % 25.68/6.72 | Simplifying 782 yields: % 25.68/6.72 | (139) ~ (e2 = e0) % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (155), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (948) all_0_45_45 = e2 % 25.68/6.72 | % 25.68/6.72 | Combining equations (295,948) yields a new equation: % 25.68/6.72 | (569) e2 = e0 % 25.68/6.72 | % 25.68/6.72 | Equations (569) can reduce 139 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (951) ~ (all_0_45_45 = e2) % 25.68/6.72 | (1616) all_0_46_46 = e2 | all_0_47_47 = e2 | all_0_48_48 = e2 % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (15), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (747) all_0_40_40 = e1 % 25.68/6.72 | % 25.68/6.72 | Equations (747) can reduce 254 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (254) ~ (all_0_40_40 = e1) % 25.68/6.72 | (8746) all_0_41_41 = e1 | all_0_42_42 = e1 | all_0_43_43 = e1 % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (170), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (1299) all_0_44_44 = e1 % 25.68/6.72 | % 25.68/6.72 | Equations (1299) can reduce 273 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (273) ~ (all_0_44_44 = e1) % 25.68/6.72 | (1302) all_0_44_44 = e4 | all_0_44_44 = e3 | all_0_44_44 = e0 % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (1302), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (500) all_0_44_44 = e0 % 25.68/6.72 | % 25.68/6.72 | Equations (500) can reduce 503 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (503) ~ (all_0_44_44 = e0) % 25.68/6.72 | (1306) all_0_44_44 = e4 | all_0_44_44 = e3 % 25.68/6.72 | % 25.68/6.72 +-Applying beta-rule and splitting (1306), into two cases. % 25.68/6.72 |-Branch one: % 25.68/6.72 | (892) all_0_44_44 = e3 % 25.68/6.72 | % 25.68/6.72 | Equations (892) can reduce 914 to: % 25.68/6.72 | (298) $false % 25.68/6.72 | % 25.68/6.72 |-The branch is then unsatisfiable % 25.68/6.72 |-Branch two: % 25.68/6.72 | (914) ~ (all_0_44_44 = e3) % 25.68/6.72 | (495) all_0_44_44 = e4 % 25.68/6.72 | % 25.68/6.72 | Equations (495) can reduce 6 to: % 25.68/6.72 | (4379) ~ (all_0_48_48 = e4) % 25.68/6.72 | % 25.68/6.73 | Simplifying 4379 yields: % 25.68/6.73 | (690) ~ (all_0_48_48 = e4) % 25.68/6.73 | % 25.68/6.73 | Equations (495) can reduce 273 to: % 25.68/6.73 | (115) ~ (e4 = e1) % 25.68/6.73 | % 25.68/6.73 | Equations (495) can reduce 503 to: % 25.68/6.73 | (47) ~ (e4 = e0) % 25.68/6.73 | % 25.68/6.73 | From (495) and (124) follows: % 25.68/6.73 | (499) op(e3, e4) = e4 % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (45), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (520) all_0_43_43 = e4 % 25.68/6.73 | % 25.68/6.73 | Equations (520) can reduce 601 to: % 25.68/6.73 | (298) $false % 25.68/6.73 | % 25.68/6.73 |-The branch is then unsatisfiable % 25.68/6.73 |-Branch two: % 25.68/6.73 | (601) ~ (all_0_43_43 = e4) % 25.68/6.73 | (602) all_0_48_48 = e4 | all_0_52_52 = e4 | all_0_60_60 = e4 % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (602), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (687) all_0_48_48 = e4 % 25.68/6.73 | % 25.68/6.73 | Equations (687) can reduce 690 to: % 25.68/6.73 | (298) $false % 25.68/6.73 | % 25.68/6.73 |-The branch is then unsatisfiable % 25.68/6.73 |-Branch two: % 25.68/6.73 | (690) ~ (all_0_48_48 = e4) % 25.68/6.73 | (691) all_0_52_52 = e4 | all_0_60_60 = e4 % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (70), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (314) all_0_56_56 = e1 % 25.68/6.73 | % 25.68/6.73 | Equations (314) can reduce 279 to: % 25.68/6.73 | (298) $false % 25.68/6.73 | % 25.68/6.73 |-The branch is then unsatisfiable % 25.68/6.73 |-Branch two: % 25.68/6.73 | (279) ~ (all_0_56_56 = e1) % 25.68/6.73 | (1499) all_0_56_56 = e4 | all_0_56_56 = e3 | all_0_56_56 = e0 % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (691), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (597) all_0_52_52 = e4 % 25.68/6.73 | % 25.68/6.73 | Equations (597) can reduce 88 to: % 25.68/6.73 | (690) ~ (all_0_48_48 = e4) % 25.68/6.73 | % 25.68/6.73 | Equations (597) can reduce 44 to: % 25.68/6.73 | (497) ~ (all_0_49_49 = e4) % 25.68/6.73 | % 25.68/6.73 | Equations (597) can reduce 234 to: % 25.68/6.73 | (596) ~ (all_0_50_50 = e4) % 25.68/6.73 | % 25.68/6.73 | From (597) and (49) follows: % 25.68/6.73 | (9066) op(e4, e2) = all_0_23_23 % 25.68/6.73 | % 25.68/6.73 | From (597) and (217) follows: % 25.68/6.73 | (2643) op(e2, e0) = e4 % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (125), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (479) all_0_40_40 = e4 % 25.68/6.73 | % 25.68/6.73 | Equations (479) can reduce 483 to: % 25.68/6.73 | (298) $false % 25.68/6.73 | % 25.68/6.73 |-The branch is then unsatisfiable % 25.68/6.73 |-Branch two: % 25.68/6.73 | (483) ~ (all_0_40_40 = e4) % 25.68/6.73 | (484) all_0_45_45 = e4 | all_0_50_50 = e4 | all_0_57_57 = e4 % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (484), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (1221) all_0_45_45 = e4 % 25.68/6.73 | % 25.68/6.73 | Combining equations (295,1221) yields a new equation: % 25.68/6.73 | (481) e4 = e0 % 25.68/6.73 | % 25.68/6.73 | Equations (481) can reduce 47 to: % 25.68/6.73 | (298) $false % 25.68/6.73 | % 25.68/6.73 |-The branch is then unsatisfiable % 25.68/6.73 |-Branch two: % 25.68/6.73 | (1224) ~ (all_0_45_45 = e4) % 25.68/6.73 | (1225) all_0_50_50 = e4 | all_0_57_57 = e4 % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (1225), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (523) all_0_50_50 = e4 % 25.68/6.73 | % 25.68/6.73 | Equations (523) can reduce 596 to: % 25.68/6.73 | (298) $false % 25.68/6.73 | % 25.68/6.73 |-The branch is then unsatisfiable % 25.68/6.73 |-Branch two: % 25.68/6.73 | (596) ~ (all_0_50_50 = e4) % 25.68/6.73 | (407) all_0_57_57 = e4 % 25.68/6.73 | % 25.68/6.73 | Equations (407) can reduce 64 to: % 25.68/6.73 | (483) ~ (all_0_40_40 = e4) % 25.68/6.73 | % 25.68/6.73 | Equations (407) can reduce 9 to: % 25.68/6.73 | (596) ~ (all_0_50_50 = e4) % 25.68/6.73 | % 25.68/6.73 | Equations (407) can reduce 294 to: % 25.68/6.73 | (115) ~ (e4 = e1) % 25.68/6.73 | % 25.68/6.73 | Equations (407) can reduce 307 to: % 25.68/6.73 | (47) ~ (e4 = e0) % 25.68/6.73 | % 25.68/6.73 | From (407) and (150) follows: % 25.68/6.73 | (1160) op(e0, e3) = e4 % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (1616), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (358) all_0_46_46 = e2 % 25.68/6.73 | % 25.68/6.73 | Combining equations (982,358) yields a new equation: % 25.68/6.73 | (544) e2 = e1 % 25.68/6.73 | % 25.68/6.73 | Equations (544) can reduce 134 to: % 25.68/6.73 | (298) $false % 25.68/6.73 | % 25.68/6.73 |-The branch is then unsatisfiable % 25.68/6.73 |-Branch two: % 25.68/6.73 | (973) ~ (all_0_46_46 = e2) % 25.68/6.73 | (1665) all_0_47_47 = e2 | all_0_48_48 = e2 % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (1665), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (368) all_0_47_47 = e2 % 25.68/6.73 | % 25.68/6.73 | Equations (368) can reduce 242 to: % 25.68/6.73 | (131) ~ (all_0_42_42 = e2) % 25.68/6.73 | % 25.68/6.73 | Equations (368) can reduce 224 to: % 25.68/6.73 | (362) ~ (all_0_48_48 = e2) % 25.68/6.73 | % 25.68/6.73 | Simplifying 362 yields: % 25.68/6.73 | (363) ~ (all_0_48_48 = e2) % 25.68/6.73 | % 25.68/6.73 | From (368) and (158) follows: % 25.68/6.73 | (1703) op(e3, e1) = e2 % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (952), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (838) all_0_50_50 = e2 % 25.68/6.73 | % 25.68/6.73 | Equations (838) can reduce 75 to: % 25.68/6.73 | (246) ~ (all_0_40_40 = e2) % 25.68/6.73 | % 25.68/6.73 | Equations (838) can reduce 157 to: % 25.68/6.73 | (1698) ~ (all_0_51_51 = e2) % 25.68/6.73 | % 25.68/6.73 | Simplifying 1698 yields: % 25.68/6.73 | (885) ~ (all_0_51_51 = e2) % 25.68/6.73 | % 25.68/6.73 | From (838) and (117) follows: % 25.68/6.73 | (1718) op(e2, e2) = all_0_19_19 % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (1499), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (653) all_0_56_56 = e0 % 25.68/6.73 | % 25.68/6.73 | Equations (653) can reduce 106 to: % 25.68/6.73 | (652) ~ (all_0_49_49 = e0) % 25.68/6.73 | % 25.68/6.73 | Equations (653) can reduce 99 to: % 25.68/6.73 | (5460) ~ (all_0_59_59 = e0) % 25.68/6.73 | % 25.68/6.73 | Simplifying 5460 yields: % 25.68/6.73 | (309) ~ (all_0_59_59 = e0) % 25.68/6.73 | % 25.68/6.73 | Equations (653) can reduce 26 to: % 25.68/6.73 | (782) ~ (e2 = e0) % 25.68/6.73 | % 25.68/6.73 | Simplifying 782 yields: % 25.68/6.73 | (139) ~ (e2 = e0) % 25.68/6.73 | % 25.68/6.73 | Equations (653) can reduce 279 to: % 25.68/6.73 | (526) ~ (e1 = e0) % 25.68/6.73 | % 25.68/6.73 | Simplifying 526 yields: % 25.68/6.73 | (231) ~ (e1 = e0) % 25.68/6.73 | % 25.68/6.73 | From (653) and (229) follows: % 25.68/6.73 | (5466) op(e0, e4) = all_0_32_32 % 25.68/6.73 | % 25.68/6.73 | From (653) and (48) follows: % 25.68/6.73 | (812) op(e0, e4) = e0 % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (61), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (1299) all_0_44_44 = e1 % 25.68/6.73 | % 25.68/6.73 | Combining equations (495,1299) yields a new equation: % 25.68/6.73 | (598) e4 = e1 % 25.68/6.73 | % 25.68/6.73 | Simplifying 598 yields: % 25.68/6.73 | (535) e4 = e1 % 25.68/6.73 | % 25.68/6.73 | Equations (535) can reduce 115 to: % 25.68/6.73 | (298) $false % 25.68/6.73 | % 25.68/6.73 |-The branch is then unsatisfiable % 25.68/6.73 |-Branch two: % 25.68/6.73 | (273) ~ (all_0_44_44 = e1) % 25.68/6.73 | (4290) all_0_49_49 = e1 | all_0_53_53 = e1 | all_0_56_56 = e1 % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (4290), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (457) all_0_49_49 = e1 % 25.68/6.73 | % 25.68/6.73 | Equations (457) can reduce 497 to: % 25.68/6.73 | (347) ~ (e4 = e1) % 25.68/6.73 | % 25.68/6.73 | Simplifying 347 yields: % 25.68/6.73 | (115) ~ (e4 = e1) % 25.68/6.73 | % 25.68/6.73 | Equations (457) can reduce 652 to: % 25.68/6.73 | (231) ~ (e1 = e0) % 25.68/6.73 | % 25.68/6.73 | From (457) and (148) follows: % 25.68/6.73 | (4424) op(e1, e4) = all_0_18_18 % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (8), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (318) all_0_48_48 = e1 % 25.68/6.73 | % 25.68/6.73 | Equations (318) can reduce 290 to: % 25.68/6.73 | (298) $false % 25.68/6.73 | % 25.68/6.73 |-The branch is then unsatisfiable % 25.68/6.73 |-Branch two: % 25.68/6.73 | (290) ~ (all_0_48_48 = e1) % 25.68/6.73 | (716) all_0_48_48 = e4 | all_0_48_48 = e3 | all_0_48_48 = e2 | all_0_48_48 = e0 % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (8746), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (253) all_0_41_41 = e1 % 25.68/6.73 | % 25.68/6.73 | Combining equations (253,603) yields a new equation: % 25.68/6.73 | (535) e4 = e1 % 25.68/6.73 | % 25.68/6.73 | Equations (535) can reduce 115 to: % 25.68/6.73 | (298) $false % 25.68/6.73 | % 25.68/6.73 |-The branch is then unsatisfiable % 25.68/6.73 |-Branch two: % 25.68/6.73 | (7077) ~ (all_0_41_41 = e1) % 25.68/6.73 | (8752) all_0_42_42 = e1 | all_0_43_43 = e1 % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (716), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (717) all_0_48_48 = e0 % 25.68/6.73 | % 25.68/6.73 | Equations (717) can reduce 303 to: % 25.68/6.73 | (298) $false % 25.68/6.73 | % 25.68/6.73 |-The branch is then unsatisfiable % 25.68/6.73 |-Branch two: % 25.68/6.73 | (303) ~ (all_0_48_48 = e0) % 25.68/6.73 | (720) all_0_48_48 = e4 | all_0_48_48 = e3 | all_0_48_48 = e2 % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (8752), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (453) all_0_42_42 = e1 % 25.68/6.73 | % 25.68/6.73 | Equations (453) can reduce 20 to: % 25.68/6.73 | (257) ~ (all_0_43_43 = e1) % 25.68/6.73 | % 25.68/6.73 | Simplifying 257 yields: % 25.68/6.73 | (258) ~ (all_0_43_43 = e1) % 25.68/6.73 | % 25.68/6.73 | Equations (453) can reduce 153 to: % 25.68/6.73 | (2227) ~ (all_0_51_51 = e1) % 25.68/6.73 | % 25.68/6.73 | Simplifying 2227 yields: % 25.68/6.73 | (344) ~ (all_0_51_51 = e1) % 25.68/6.73 | % 25.68/6.73 | Equations (453) can reduce 118 to: % 25.68/6.73 | (2217) ~ (all_0_59_59 = e1) % 25.68/6.73 | % 25.68/6.73 | Simplifying 2217 yields: % 25.68/6.73 | (2156) ~ (all_0_59_59 = e1) % 25.68/6.73 | % 25.68/6.73 | Equations (453) can reduce 131 to: % 25.68/6.73 | (263) ~ (e2 = e1) % 25.68/6.73 | % 25.68/6.73 | Simplifying 263 yields: % 25.68/6.73 | (134) ~ (e2 = e1) % 25.68/6.73 | % 25.68/6.73 | From (453) and (19) follows: % 25.68/6.73 | (10840) op(e1, e4) = all_0_4_4 % 25.68/6.73 | % 25.68/6.73 | From (453) and (80) follows: % 25.68/6.73 | (10841) op(e1, e1) = all_0_5_5 % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (101), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (466) all_0_42_42 = e0 % 25.68/6.73 | % 25.68/6.73 | Combining equations (453,466) yields a new equation: % 25.68/6.73 | (296) e1 = e0 % 25.68/6.73 | % 25.68/6.73 | Simplifying 296 yields: % 25.68/6.73 | (297) e1 = e0 % 25.68/6.73 | % 25.68/6.73 | Equations (297) can reduce 231 to: % 25.68/6.73 | (298) $false % 25.68/6.73 | % 25.68/6.73 |-The branch is then unsatisfiable % 25.68/6.73 |-Branch two: % 25.68/6.73 | (463) ~ (all_0_42_42 = e0) % 25.68/6.73 | (841) all_0_47_47 = e0 | all_0_51_51 = e0 | all_0_59_59 = e0 % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (720), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (491) all_0_48_48 = e3 % 25.68/6.73 | % 25.68/6.73 | Equations (491) can reduce 363 to: % 25.68/6.73 | (213) ~ (e3 = e2) % 25.68/6.73 | % 25.68/6.73 | Equations (491) can reduce 290 to: % 25.68/6.73 | (214) ~ (e3 = e1) % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (841), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (525) all_0_47_47 = e0 % 25.68/6.73 | % 25.68/6.73 | Combining equations (525,368) yields a new equation: % 25.68/6.73 | (569) e2 = e0 % 25.68/6.73 | % 25.68/6.73 | Equations (569) can reduce 139 to: % 25.68/6.73 | (298) $false % 25.68/6.73 | % 25.68/6.73 |-The branch is then unsatisfiable % 25.68/6.73 |-Branch two: % 25.68/6.73 | (589) ~ (all_0_47_47 = e0) % 25.68/6.73 | (2624) all_0_51_51 = e0 | all_0_59_59 = e0 % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (2624), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (1730) all_0_51_51 = e0 % 25.68/6.73 | % 25.68/6.73 | Equations (1730) can reduce 73 to: % 25.68/6.73 | (5460) ~ (all_0_59_59 = e0) % 25.68/6.73 | % 25.68/6.73 | Simplifying 5460 yields: % 25.68/6.73 | (309) ~ (all_0_59_59 = e0) % 25.68/6.73 | % 25.68/6.73 | Equations (1730) can reduce 344 to: % 25.68/6.73 | (526) ~ (e1 = e0) % 25.68/6.73 | % 25.68/6.73 | Simplifying 526 yields: % 25.68/6.73 | (231) ~ (e1 = e0) % 25.68/6.73 | % 25.68/6.73 | From (1730) and (169) follows: % 25.68/6.73 | (1734) op(e0, e2) = all_0_21_21 % 25.68/6.73 | % 25.68/6.73 | From (1730) and (33) follows: % 25.68/6.73 | (10976) op(e0, e1) = all_0_22_22 % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (212), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (461) all_0_40_40 = e0 % 25.68/6.73 | % 25.68/6.73 | Equations (461) can reduce 745 to: % 25.68/6.73 | (298) $false % 25.68/6.73 | % 25.68/6.73 |-The branch is then unsatisfiable % 25.68/6.73 |-Branch two: % 25.68/6.73 | (745) ~ (all_0_40_40 = e0) % 25.68/6.73 | (746) all_0_42_42 = e0 | all_0_43_43 = e0 % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (251), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (469) all_0_42_42 = e3 % 25.68/6.73 | % 25.68/6.73 | Combining equations (453,469) yields a new equation: % 25.68/6.73 | (420) e3 = e1 % 25.68/6.73 | % 25.68/6.73 | Equations (420) can reduce 214 to: % 25.68/6.73 | (298) $false % 25.68/6.73 | % 25.68/6.73 |-The branch is then unsatisfiable % 25.68/6.73 |-Branch two: % 25.68/6.73 | (847) ~ (all_0_42_42 = e3) % 25.68/6.73 | (1512) all_0_47_47 = e3 | all_0_59_59 = e3 % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (746), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (466) all_0_42_42 = e0 % 25.68/6.73 | % 25.68/6.73 | Combining equations (453,466) yields a new equation: % 25.68/6.73 | (296) e1 = e0 % 25.68/6.73 | % 25.68/6.73 | Simplifying 296 yields: % 25.68/6.73 | (297) e1 = e0 % 25.68/6.73 | % 25.68/6.73 | Equations (297) can reduce 231 to: % 25.68/6.73 | (298) $false % 25.68/6.73 | % 25.68/6.73 |-The branch is then unsatisfiable % 25.68/6.73 |-Branch two: % 25.68/6.73 | (463) ~ (all_0_42_42 = e0) % 25.68/6.73 | (1253) all_0_43_43 = e0 % 25.68/6.73 | % 25.68/6.73 | Equations (1253) can reduce 258 to: % 25.68/6.73 | (526) ~ (e1 = e0) % 25.68/6.73 | % 25.68/6.73 | Simplifying 526 yields: % 25.68/6.73 | (231) ~ (e1 = e0) % 25.68/6.73 | % 25.68/6.73 | From (1253) and (181) follows: % 25.68/6.73 | (8935) op(e0, e4) = all_0_6_6 % 25.68/6.73 | % 25.68/6.73 +-Applying beta-rule and splitting (1512), into two cases. % 25.68/6.73 |-Branch one: % 25.68/6.73 | (591) all_0_47_47 = e3 % 25.68/6.73 | % 25.68/6.73 | Combining equations (591,368) yields a new equation: % 25.68/6.73 | (877) e3 = e2 % 25.68/6.73 | % 25.68/6.73 | Simplifying 877 yields: % 25.68/6.73 | (567) e3 = e2 % 25.68/6.73 | % 25.68/6.73 | Equations (567) can reduce 213 to: % 25.68/6.73 | (298) $false % 25.68/6.73 | % 25.68/6.73 |-The branch is then unsatisfiable % 25.68/6.73 |-Branch two: % 25.68/6.73 | (493) ~ (all_0_47_47 = e3) % 25.68/6.73 | (907) all_0_59_59 = e3 % 25.68/6.73 | % 25.68/6.73 | Equations (907) can reduce 2156 to: % 25.68/6.73 | (214) ~ (e3 = e1) % 25.68/6.73 | % 25.68/6.73 | Equations (907) can reduce 309 to: % 25.68/6.73 | (84) ~ (e3 = e0) % 25.68/6.73 | % 25.68/6.73 | From (907) and (121) follows: % 25.68/6.73 | (10571) op(e3, e1) = all_0_38_38 % 25.68/6.73 | % 25.68/6.73 | From (907) and (114) follows: % 25.68/6.74 | (2846) op(e0, e1) = e3 % 25.68/6.74 | % 25.68/6.74 +-Applying beta-rule and splitting (23), into two cases. % 25.68/6.74 |-Branch one: % 25.68/6.74 | (755) all_0_40_40 = e3 % 25.68/6.74 | % 25.68/6.74 | From (755) and (127) follows: % 25.68/6.74 | (8980) op(e3, e4) = all_0_0_0 % 25.68/6.74 | % 25.68/6.74 | Instantiating formula (206) with e4, e2, all_0_23_23, e4 and discharging atoms op(e4, e2) = all_0_23_23, op(e4, e2) = e4, yields: % 25.68/6.74 | (5630) all_0_23_23 = e4 % 25.68/6.74 | % 25.68/6.74 | Instantiating formula (206) with e3, e4, e4, all_0_0_0 and discharging atoms op(e3, e4) = all_0_0_0, op(e3, e4) = e4, yields: % 25.68/6.74 | (11032) all_0_0_0 = e4 % 25.68/6.74 | % 25.68/6.74 | Instantiating formula (206) with e3, e1, e2, all_0_38_38 and discharging atoms op(e3, e1) = all_0_38_38, op(e3, e1) = e2, yields: % 25.68/6.74 | (10580) all_0_38_38 = e2 % 25.68/6.74 | % 25.68/6.74 | Instantiating formula (206) with e2, e2, all_0_19_19, e3 and discharging atoms op(e2, e2) = all_0_19_19, op(e2, e2) = e3, yields: % 25.68/6.74 | (1758) all_0_19_19 = e3 % 25.68/6.74 | % 25.68/6.74 | Instantiating formula (206) with e2, e2, all_0_36_36, all_0_19_19 and discharging atoms op(e2, e2) = all_0_19_19, op(e2, e2) = all_0_36_36, yields: % 25.68/6.74 | (6523) all_0_19_19 = all_0_36_36 % 25.68/6.74 | % 25.68/6.74 | Instantiating formula (206) with e2, e0, all_0_35_35, all_0_30_30 and discharging atoms op(e2, e0) = all_0_30_30, op(e2, e0) = all_0_35_35, yields: % 25.68/6.74 | (11564) all_0_30_30 = all_0_35_35 % 25.68/6.74 | % 25.68/6.74 | Instantiating formula (206) with e2, e0, e4, all_0_30_30 and discharging atoms op(e2, e0) = all_0_30_30, op(e2, e0) = e4, yields: % 25.68/6.74 | (5834) all_0_30_30 = e4 % 25.68/6.74 | % 25.68/6.74 | Instantiating formula (206) with e1, e4, all_0_4_4, e3 and discharging atoms op(e1, e4) = all_0_4_4, op(e1, e4) = e3, yields: % 25.68/6.74 | (9689) all_0_4_4 = e3 % 25.68/6.74 | % 25.68/6.74 | Instantiating formula (206) with e1, e4, all_0_18_18, all_0_4_4 and discharging atoms op(e1, e4) = all_0_4_4, op(e1, e4) = all_0_18_18, yields: % 25.68/6.74 | (11028) all_0_4_4 = all_0_18_18 % 25.68/6.74 | % 25.68/6.74 | Instantiating formula (206) with e1, e1, all_0_5_5, e4 and discharging atoms op(e1, e1) = all_0_5_5, op(e1, e1) = e4, yields: % 25.68/6.74 | (4642) all_0_5_5 = e4 % 25.68/6.74 | % 25.68/6.74 | Instantiating formula (206) with e1, e1, all_0_27_27, all_0_5_5 and discharging atoms op(e1, e1) = all_0_5_5, op(e1, e1) = all_0_27_27, yields: % 25.68/6.74 | (1756) all_0_5_5 = all_0_27_27 % 25.68/6.74 | % 25.68/6.74 | Instantiating formula (206) with e0, e4, all_0_32_32, all_0_6_6 and discharging atoms op(e0, e4) = all_0_6_6, op(e0, e4) = all_0_32_32, yields: % 25.68/6.74 | (11570) all_0_6_6 = all_0_32_32 % 25.68/6.74 | % 25.68/6.74 | Instantiating formula (206) with e0, e4, e0, all_0_6_6 and discharging atoms op(e0, e4) = all_0_6_6, op(e0, e4) = e0, yields: % 25.68/6.74 | (4890) all_0_6_6 = e0 % 25.68/6.74 | % 25.68/6.74 | Instantiating formula (206) with e0, e2, e2, all_0_21_21 and discharging atoms op(e0, e2) = all_0_21_21, op(e0, e2) = e2, yields: % 25.68/6.74 | (1761) all_0_21_21 = e2 % 25.68/6.74 | % 25.68/6.74 | Instantiating formula (206) with e0, e1, e3, all_0_22_22 and discharging atoms op(e0, e1) = all_0_22_22, op(e0, e1) = e3, yields: % 25.68/6.74 | (11573) all_0_22_22 = e3 % 25.68/6.74 | % 25.68/6.74 | Combining equations (11028,9689) yields a new equation: % 25.68/6.74 | (10282) all_0_18_18 = e3 % 25.68/6.74 | % 25.68/6.74 | Simplifying 10282 yields: % 25.68/6.74 | (4482) all_0_18_18 = e3 % 25.68/6.74 | % 25.68/6.74 | Combining equations (4642,1756) yields a new equation: % 25.68/6.74 | (5416) all_0_27_27 = e4 % 25.68/6.74 | % 25.68/6.74 | Combining equations (11570,4890) yields a new equation: % 25.68/6.74 | (11577) all_0_32_32 = e0 % 25.68/6.74 | % 25.68/6.74 | Simplifying 11577 yields: % 25.68/6.74 | (4714) all_0_32_32 = e0 % 25.68/6.74 | % 25.68/6.74 | Combining equations (6523,1758) yields a new equation: % 25.68/6.74 | (11579) all_0_36_36 = e3 % 25.68/6.74 | % 25.68/6.74 | Simplifying 11579 yields: % 25.68/6.74 | (1007) all_0_36_36 = e3 % 25.68/6.74 | % 25.68/6.74 | Combining equations (5834,11564) yields a new equation: % 25.68/6.74 | (11581) all_0_35_35 = e4 % 25.68/6.74 | % 25.68/6.74 | From (5630) and (9066) follows: % 25.68/6.74 | (576) op(e4, e2) = e4 % 25.68/6.74 | % 25.68/6.74 | From (11032) and (8980) follows: % 25.68/6.74 | (499) op(e3, e4) = e4 % 25.68/6.74 | % 25.68/6.74 | From (10580) and (10571) follows: % 25.68/6.74 | (1703) op(e3, e1) = e2 % 25.68/6.74 | % 25.68/6.74 | From (1007) and (980) follows: % 25.68/6.74 | (72) op(e2, e2) = e3 % 25.68/6.74 | % 25.68/6.74 | From (11581) and (4370) follows: % 25.68/6.74 | (2643) op(e2, e0) = e4 % 25.68/6.74 | % 25.68/6.74 | From (4482) and (4424) follows: % 25.68/6.74 | (3711) op(e1, e4) = e3 % 25.68/6.74 | % 25.68/6.74 | From (5416) and (5398) follows: % 25.68/6.74 | (227) op(e1, e1) = e4 % 25.68/6.74 | % 25.68/6.74 | From (4714) and (5466) follows: % 25.68/6.75 | (812) op(e0, e4) = e0 % 25.68/6.75 | % 25.68/6.75 | From (1761) and (1734) follows: % 25.68/6.75 | (981) op(e0, e2) = e2 % 25.68/6.75 | % 25.68/6.75 | From (11573) and (10976) follows: % 25.68/6.75 | (2846) op(e0, e1) = e3 % 25.68/6.75 | % 25.68/6.75 +-Applying beta-rule and splitting (55), into two cases. % 25.68/6.75 |-Branch one: % 25.68/6.75 | (529) unit = e1 % 25.68/6.75 | % 25.68/6.75 | From (529) and (162) follows: % 25.68/6.75 | (3923) op(e1, e4) = e4 % 25.68/6.75 | % 25.68/6.75 | From (529) and (221) follows: % 25.68/6.75 | (532) op(e1, e1) = e1 % 25.68/6.75 | % 25.68/6.75 | From (529) and (67) follows: % 25.68/6.75 | (2913) op(e0, e1) = e0 % 25.68/6.75 | % 25.68/6.75 | Instantiating formula (206) with e1, e4, e4, e3 and discharging atoms op(e1, e4) = e4, op(e1, e4) = e3, yields: % 25.68/6.75 | (392) e4 = e3 % 25.68/6.75 | % 25.68/6.75 | Instantiating formula (206) with e1, e1, e1, e4 and discharging atoms op(e1, e1) = e4, op(e1, e1) = e1, yields: % 25.68/6.75 | (535) e4 = e1 % 25.68/6.75 | % 25.68/6.75 | Instantiating formula (206) with e0, e1, e0, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e0, yields: % 25.68/6.75 | (534) e3 = e0 % 25.68/6.75 | % 25.68/6.75 | Combining equations (392,535) yields a new equation: % 25.68/6.75 | (1084) e3 = e1 % 25.68/6.75 | % 25.68/6.75 | Simplifying 1084 yields: % 25.68/6.75 | (420) e3 = e1 % 25.68/6.75 | % 25.68/6.75 | Combining equations (420,534) yields a new equation: % 25.68/6.75 | (296) e1 = e0 % 25.68/6.75 | % 25.68/6.75 | Simplifying 296 yields: % 25.68/6.75 | (297) e1 = e0 % 25.68/6.75 | % 25.68/6.75 | Equations (297) can reduce 231 to: % 25.68/6.75 | (298) $false % 25.68/6.75 | % 25.68/6.75 |-The branch is then unsatisfiable % 25.68/6.75 |-Branch two: % 25.68/6.75 | (540) ~ (unit = e1) % 25.68/6.75 | (541) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 25.68/6.75 | % 25.68/6.75 +-Applying beta-rule and splitting (541), into two cases. % 25.68/6.75 |-Branch one: % 25.68/6.75 | (542) unit = e0 % 25.68/6.75 | % 25.68/6.75 | Equations (542) can reduce 540 to: % 25.68/6.75 | (526) ~ (e1 = e0) % 25.68/6.75 | % 25.68/6.75 | Simplifying 526 yields: % 25.68/6.75 | (231) ~ (e1 = e0) % 25.68/6.75 | % 25.68/6.75 | From (542) and (162) follows: % 25.68/6.75 | (1387) op(e0, e4) = e4 % 25.68/6.75 | % 25.68/6.75 | From (542) and (143) follows: % 25.68/6.75 | (1389) op(e0, e3) = e3 % 25.68/6.75 | % 25.68/6.75 | From (542) and (100) follows: % 25.68/6.75 | (2926) op(e0, e1) = e1 % 25.68/6.75 | % 25.68/6.75 | From (542) and (66) follows: % 25.68/6.75 | (2384) op(e2, e0) = e2 % 25.68/6.75 | % 25.68/6.75 | Instantiating formula (206) with e2, e0, e2, e4 and discharging atoms op(e2, e0) = e4, op(e2, e0) = e2, yields: % 25.68/6.75 | (409) e4 = e2 % 25.68/6.75 | % 25.68/6.75 | Instantiating formula (206) with e0, e4, e4, e0 and discharging atoms op(e0, e4) = e4, op(e0, e4) = e0, yields: % 25.68/6.75 | (481) e4 = e0 % 25.68/6.75 | % 25.68/6.75 | Instantiating formula (206) with e0, e3, e3, e4 and discharging atoms op(e0, e3) = e4, op(e0, e3) = e3, yields: % 25.68/6.75 | (392) e4 = e3 % 25.68/6.75 | % 25.68/6.75 | Instantiating formula (206) with e0, e1, e1, e3 and discharging atoms op(e0, e1) = e3, op(e0, e1) = e1, yields: % 25.68/6.75 | (420) e3 = e1 % 25.68/6.75 | % 25.68/6.75 | Combining equations (481,409) yields a new equation: % 25.68/6.75 | (569) e2 = e0 % 25.68/6.75 | % 25.68/6.75 | Combining equations (392,409) yields a new equation: % 25.68/6.75 | (877) e3 = e2 % 25.68/6.75 | % 25.68/6.75 | Simplifying 877 yields: % 25.68/6.75 | (567) e3 = e2 % 25.68/6.75 | % 25.68/6.75 | Combining equations (567,420) yields a new equation: % 25.68/6.75 | (887) e2 = e1 % 25.68/6.75 | % 25.68/6.75 | Simplifying 887 yields: % 25.68/6.75 | (544) e2 = e1 % 25.68/6.75 | % 25.68/6.75 | Combining equations (544,569) yields a new equation: % 25.68/6.75 | (296) e1 = e0 % 25.68/6.75 | % 25.68/6.75 | Simplifying 296 yields: % 25.68/6.75 | (297) e1 = e0 % 25.68/6.75 | % 25.68/6.75 | Equations (297) can reduce 231 to: % 25.68/6.75 | (298) $false % 25.68/6.75 | % 25.68/6.75 |-The branch is then unsatisfiable % 25.68/6.75 |-Branch two: % 25.68/6.75 | (546) ~ (unit = e0) % 25.68/6.75 | (547) unit = e4 | unit = e3 | unit = e2 % 25.68/6.75 | % 25.68/6.75 +-Applying beta-rule and splitting (547), into two cases. % 25.68/6.75 |-Branch one: % 25.68/6.75 | (548) unit = e3 % 25.68/6.75 | % 25.68/6.75 | From (548) and (100) follows: % 25.68/6.75 | (1796) op(e3, e1) = e1 % 25.68/6.75 | % 25.68/6.75 | Instantiating formula (206) with e3, e1, e1, e2 and discharging atoms op(e3, e1) = e2, op(e3, e1) = e1, yields: % 25.68/6.75 | (544) e2 = e1 % 25.68/6.75 | % 25.68/6.75 | Equations (544) can reduce 134 to: % 25.68/6.75 | (298) $false % 25.68/6.75 | % 25.68/6.75 |-The branch is then unsatisfiable % 25.68/6.75 |-Branch two: % 25.68/6.75 | (555) ~ (unit = e3) % 25.68/6.75 | (556) unit = e4 | unit = e2 % 25.68/6.75 | % 25.68/6.75 +-Applying beta-rule and splitting (556), into two cases. % 25.68/6.75 |-Branch one: % 25.68/6.75 | (557) unit = e4 % 25.68/6.75 | % 25.68/6.75 | From (557) and (24) follows: % 25.68/6.75 | (558) op(e4, e2) = e2 % 25.68/6.75 | % 25.68/6.75 | From (557) and (74) follows: % 25.68/6.75 | (561) op(e3, e4) = e3 % 25.68/6.75 | % 25.68/6.75 | From (557) and (221) follows: % 25.68/6.75 | (3962) op(e1, e4) = e1 % 25.68/6.75 | % 25.68/6.75 | Instantiating formula (206) with e4, e2, e2, e4 and discharging atoms op(e4, e2) = e4, op(e4, e2) = e2, yields: % 25.68/6.75 | (409) e4 = e2 % 25.68/6.75 | % 25.68/6.75 | Instantiating formula (206) with e3, e4, e3, e4 and discharging atoms op(e3, e4) = e4, op(e3, e4) = e3, yields: % 25.68/6.75 | (392) e4 = e3 % 25.68/6.75 | % 25.68/6.75 | Instantiating formula (206) with e1, e4, e1, e3 and discharging atoms op(e1, e4) = e3, op(e1, e4) = e1, yields: % 25.68/6.75 | (420) e3 = e1 % 25.68/6.75 | % 25.68/6.75 | Combining equations (409,392) yields a new equation: % 25.68/6.75 | (567) e3 = e2 % 25.68/6.75 | % 25.68/6.75 | Combining equations (567,420) yields a new equation: % 25.68/6.75 | (887) e2 = e1 % 25.68/6.75 | % 25.68/6.75 | Simplifying 887 yields: % 25.68/6.75 | (544) e2 = e1 % 25.68/6.75 | % 25.68/6.75 | Equations (544) can reduce 134 to: % 25.68/6.75 | (298) $false % 25.68/6.75 | % 25.68/6.75 |-The branch is then unsatisfiable % 25.68/6.75 |-Branch two: % 25.68/6.75 | (573) ~ (unit = e4) % 25.68/6.75 | (574) unit = e2 % 25.68/6.75 | % 25.68/6.75 | From (574) and (74) follows: % 25.68/6.75 | (1207) op(e3, e2) = e3 % 25.68/6.75 | % 25.68/6.75 | From (574) and (66) follows: % 25.68/6.75 | (577) op(e2, e2) = e2 % 25.68/6.75 | % 25.68/6.75 | From (574) and (67) follows: % 25.68/6.75 | (578) op(e0, e2) = e0 % 25.68/6.75 | % 25.68/6.75 | Instantiating formula (206) with e3, e2, e3, e1 and discharging atoms op(e3, e2) = e3, op(e3, e2) = e1, yields: % 25.68/6.75 | (420) e3 = e1 % 25.68/6.75 | % 25.68/6.75 | Instantiating formula (206) with e2, e2, e2, e3 and discharging atoms op(e2, e2) = e3, op(e2, e2) = e2, yields: % 25.68/6.75 | (567) e3 = e2 % 25.68/6.75 | % 25.68/6.75 | Instantiating formula (206) with e0, e2, e0, e2 and discharging atoms op(e0, e2) = e2, op(e0, e2) = e0, yields: % 25.68/6.75 | (569) e2 = e0 % 25.68/6.75 | % 25.68/6.75 | Combining equations (567,420) yields a new equation: % 25.68/6.75 | (887) e2 = e1 % 25.68/6.75 | % 25.68/6.75 | Simplifying 887 yields: % 25.68/6.75 | (544) e2 = e1 % 25.68/6.75 | % 25.68/6.75 | Combining equations (544,569) yields a new equation: % 25.68/6.75 | (296) e1 = e0 % 25.68/6.75 | % 25.68/6.75 | Simplifying 296 yields: % 25.68/6.75 | (297) e1 = e0 % 25.68/6.75 | % 25.68/6.75 | Equations (297) can reduce 231 to: % 25.68/6.75 | (298) $false % 25.68/6.75 | % 25.68/6.75 |-The branch is then unsatisfiable % 25.68/6.75 |-Branch two: % 25.68/6.75 | (425) ~ (all_0_40_40 = e3) % 25.68/6.75 | (1257) all_0_42_42 = e3 | all_0_43_43 = e3 % 25.68/6.75 | % 25.68/6.75 +-Applying beta-rule and splitting (1257), into two cases. % 25.68/6.75 |-Branch one: % 25.68/6.75 | (469) all_0_42_42 = e3 % 25.68/6.75 | % 25.68/6.75 | Combining equations (469,453) yields a new equation: % 25.68/6.75 | (1084) e3 = e1 % 25.68/6.75 | % 25.68/6.75 | Simplifying 1084 yields: % 25.68/6.75 | (420) e3 = e1 % 25.68/6.75 | % 25.68/6.75 | Equations (420) can reduce 214 to: % 25.68/6.75 | (298) $false % 25.68/6.75 | % 25.68/6.75 |-The branch is then unsatisfiable % 25.68/6.75 |-Branch two: % 25.68/6.75 | (847) ~ (all_0_42_42 = e3) % 25.68/6.75 | (475) all_0_43_43 = e3 % 25.68/6.75 | % 25.68/6.75 | Combining equations (1253,475) yields a new equation: % 25.68/6.75 | (534) e3 = e0 % 25.68/6.75 | % 25.68/6.75 | Equations (534) can reduce 84 to: % 25.68/6.75 | (298) $false % 25.68/6.75 | % 25.68/6.75 |-The branch is then unsatisfiable % 25.68/6.75 |-Branch two: % 25.68/6.75 | (1871) ~ (all_0_51_51 = e0) % 25.68/6.75 | (2627) all_0_59_59 = e0 % 25.68/6.75 | % 25.68/6.75 | Equations (2627) can reduce 309 to: % 25.68/6.75 | (298) $false % 25.68/6.75 | % 25.68/6.75 |-The branch is then unsatisfiable % 25.68/6.75 |-Branch two: % 25.68/6.75 | (711) ~ (all_0_48_48 = e3) % 25.68/6.75 | (724) all_0_48_48 = e4 | all_0_48_48 = e2 % 25.68/6.75 | % 25.68/6.75 +-Applying beta-rule and splitting (724), into two cases. % 25.68/6.75 |-Branch one: % 25.68/6.75 | (687) all_0_48_48 = e4 % 25.68/6.75 | % 25.68/6.75 | Equations (687) can reduce 690 to: % 25.68/6.75 | (298) $false % 25.68/6.75 | % 25.68/6.75 |-The branch is then unsatisfiable % 25.68/6.75 |-Branch two: % 25.68/6.75 | (690) ~ (all_0_48_48 = e4) % 25.68/6.75 | (743) all_0_48_48 = e2 % 25.68/6.75 | % 25.68/6.75 | Equations (743) can reduce 363 to: % 25.68/6.75 | (298) $false % 25.68/6.75 | % 25.68/6.75 |-The branch is then unsatisfiable % 25.68/6.75 |-Branch two: % 25.68/6.75 | (256) ~ (all_0_42_42 = e1) % 25.68/6.75 | (310) all_0_43_43 = e1 % 25.68/6.75 | % 25.68/6.75 | Equations (310) can reduce 258 to: % 25.68/6.75 | (298) $false % 25.68/6.75 | % 25.68/6.75 |-The branch is then unsatisfiable % 25.68/6.75 |-Branch two: % 25.68/6.75 | (329) ~ (all_0_49_49 = e1) % 25.68/6.75 | (4324) all_0_53_53 = e1 | all_0_56_56 = e1 % 25.68/6.75 | % 25.68/6.75 +-Applying beta-rule and splitting (4324), into two cases. % 25.68/6.75 |-Branch one: % 25.68/6.75 | (272) all_0_53_53 = e1 % 25.68/6.75 | % 25.68/6.75 | Combining equations (419,272) yields a new equation: % 25.68/6.75 | (1084) e3 = e1 % 25.68/6.75 | % 25.68/6.75 | Simplifying 1084 yields: % 25.68/6.75 | (420) e3 = e1 % 25.68/6.75 | % 25.68/6.75 | Equations (420) can reduce 214 to: % 25.68/6.75 | (298) $false % 25.68/6.75 | % 25.68/6.75 |-The branch is then unsatisfiable % 25.68/6.75 |-Branch two: % 25.68/6.75 | (3699) ~ (all_0_53_53 = e1) % 25.68/6.75 | (314) all_0_56_56 = e1 % 25.68/6.75 | % 25.68/6.75 | Combining equations (314,653) yields a new equation: % 25.68/6.75 | (296) e1 = e0 % 25.68/6.75 | % 25.68/6.75 | Simplifying 296 yields: % 25.68/6.75 | (297) e1 = e0 % 25.68/6.75 | % 25.68/6.75 | Equations (297) can reduce 231 to: % 25.68/6.75 | (298) $false % 25.68/6.75 | % 25.68/6.75 |-The branch is then unsatisfiable % 25.68/6.75 |-Branch two: % 25.68/6.75 | (306) ~ (all_0_56_56 = e0) % 25.68/6.75 | (1503) all_0_56_56 = e4 | all_0_56_56 = e3 % 25.68/6.75 | % 25.68/6.75 +-Applying beta-rule and splitting (750), into two cases. % 25.68/6.75 |-Branch one: % 25.68/6.75 | (461) all_0_40_40 = e0 % 25.68/6.75 | % 25.68/6.75 | Equations (461) can reduce 745 to: % 25.68/6.75 | (298) $false % 25.68/6.75 | % 25.68/6.75 |-The branch is then unsatisfiable % 25.68/6.75 |-Branch two: % 25.68/6.75 | (745) ~ (all_0_40_40 = e0) % 25.68/6.75 | (754) all_0_40_40 = e4 | all_0_40_40 = e3 % 25.68/6.75 | % 25.68/6.75 +-Applying beta-rule and splitting (754), into two cases. % 25.68/6.75 |-Branch one: % 25.68/6.75 | (755) all_0_40_40 = e3 % 25.68/6.75 | % 25.68/6.75 | Equations (755) can reduce 204 to: % 25.68/6.75 | (1539) ~ (all_0_42_42 = e3) % 25.68/6.75 | % 25.68/6.75 | Simplifying 1539 yields: % 25.68/6.75 | (847) ~ (all_0_42_42 = e3) % 25.68/6.75 | % 25.68/6.75 | Equations (755) can reduce 246 to: % 25.68/6.75 | (213) ~ (e3 = e2) % 25.68/6.75 | % 25.68/6.75 +-Applying beta-rule and splitting (54), into two cases. % 25.68/6.75 |-Branch one: % 25.68/6.75 | (500) all_0_44_44 = e0 % 25.68/6.75 | % 25.68/6.75 | Combining equations (495,500) yields a new equation: % 25.68/6.75 | (480) e4 = e0 % 25.68/6.75 | % 25.68/6.75 | Simplifying 480 yields: % 25.68/6.75 | (481) e4 = e0 % 25.68/6.75 | % 25.68/6.75 | Equations (481) can reduce 47 to: % 25.68/6.75 | (298) $false % 25.68/6.75 | % 25.68/6.75 |-The branch is then unsatisfiable % 25.68/6.75 |-Branch two: % 25.68/6.75 | (503) ~ (all_0_44_44 = e0) % 25.68/6.75 | (504) all_0_49_49 = e0 | all_0_56_56 = e0 % 25.68/6.75 | % 25.68/6.75 | Equations (495) can reduce 503 to: % 25.68/6.75 | (47) ~ (e4 = e0) % 25.68/6.75 | % 25.68/6.75 +-Applying beta-rule and splitting (251), into two cases. % 25.68/6.75 |-Branch one: % 25.68/6.75 | (469) all_0_42_42 = e3 % 25.68/6.75 | % 25.68/6.75 | Equations (469) can reduce 847 to: % 25.68/6.75 | (298) $false % 25.68/6.75 | % 25.68/6.75 |-The branch is then unsatisfiable % 25.68/6.75 |-Branch two: % 25.68/6.75 | (847) ~ (all_0_42_42 = e3) % 25.68/6.75 | (1512) all_0_47_47 = e3 | all_0_59_59 = e3 % 25.68/6.75 | % 25.68/6.75 +-Applying beta-rule and splitting (12), into two cases. % 25.68/6.75 |-Branch one: % 25.68/6.75 | (1253) all_0_43_43 = e0 % 25.68/6.75 | % 25.68/6.75 | Equations (1253) can reduce 20 to: % 25.68/6.75 | (463) ~ (all_0_42_42 = e0) % 25.68/6.75 | % 25.68/6.75 +-Applying beta-rule and splitting (1512), into two cases. % 25.68/6.75 |-Branch one: % 25.68/6.75 | (591) all_0_47_47 = e3 % 25.68/6.75 | % 25.68/6.75 | Combining equations (368,591) yields a new equation: % 25.68/6.75 | (567) e3 = e2 % 25.68/6.75 | % 25.68/6.75 | Equations (567) can reduce 213 to: % 25.68/6.75 | (298) $false % 25.68/6.75 | % 25.68/6.75 |-The branch is then unsatisfiable % 25.68/6.75 |-Branch two: % 25.68/6.75 | (493) ~ (all_0_47_47 = e3) % 25.68/6.75 | (907) all_0_59_59 = e3 % 25.68/6.75 | % 25.68/6.75 | Equations (907) can reduce 118 to: % 25.68/6.75 | (847) ~ (all_0_42_42 = e3) % 25.68/6.75 | % 25.68/6.75 +-Applying beta-rule and splitting (92), into two cases. % 25.68/6.75 |-Branch one: % 25.68/6.75 | (453) all_0_42_42 = e1 % 25.68/6.75 | % 25.68/6.75 | Equations (453) can reduce 153 to: % 25.68/6.75 | (2227) ~ (all_0_51_51 = e1) % 25.68/6.75 | % 25.68/6.75 | Simplifying 2227 yields: % 25.68/6.75 | (344) ~ (all_0_51_51 = e1) % 25.68/6.75 | % 25.68/6.75 | Equations (453) can reduce 247 to: % 25.68/6.75 | (347) ~ (e4 = e1) % 25.68/6.75 | % 25.68/6.75 | Simplifying 347 yields: % 25.68/6.75 | (115) ~ (e4 = e1) % 25.68/6.75 | % 25.68/6.75 | Equations (453) can reduce 131 to: % 25.68/6.75 | (263) ~ (e2 = e1) % 25.68/6.75 | % 25.68/6.75 | Simplifying 263 yields: % 25.68/6.75 | (134) ~ (e2 = e1) % 25.68/6.75 | % 25.68/6.75 +-Applying beta-rule and splitting (201), into two cases. % 25.68/6.75 |-Branch one: % 25.68/6.75 | (1704) all_0_51_51 = e1 % 25.68/6.75 | % 25.68/6.75 | Equations (1704) can reduce 344 to: % 25.68/6.75 | (298) $false % 25.68/6.75 | % 25.68/6.75 |-The branch is then unsatisfiable % 25.68/6.75 |-Branch two: % 25.68/6.75 | (344) ~ (all_0_51_51 = e1) % 25.68/6.75 | (1707) all_0_51_51 = e2 | all_0_51_51 = e0 % 25.68/6.75 | % 25.68/6.75 +-Applying beta-rule and splitting (173), into two cases. % 25.68/6.75 |-Branch one: % 25.68/6.75 | (457) all_0_49_49 = e1 % 25.68/6.75 | % 25.68/6.75 | Equations (457) can reduce 82 to: % 25.68/6.75 | (2227) ~ (all_0_51_51 = e1) % 25.68/6.75 | % 25.68/6.75 | Simplifying 2227 yields: % 25.68/6.75 | (344) ~ (all_0_51_51 = e1) % 25.68/6.75 | % 25.68/6.75 +-Applying beta-rule and splitting (141), into two cases. % 25.68/6.75 |-Branch one: % 25.68/6.75 | (653) all_0_56_56 = e0 % 25.68/6.75 | % 25.68/6.75 | Equations (653) can reduce 306 to: % 25.68/6.75 | (298) $false % 25.68/6.75 | % 25.68/6.75 |-The branch is then unsatisfiable % 25.68/6.75 |-Branch two: % 25.68/6.75 | (306) ~ (all_0_56_56 = e0) % 25.68/6.75 | (2992) all_0_57_57 = e0 | all_0_59_59 = e0 | all_0_60_60 = e0 % 25.68/6.75 | % 25.68/6.75 +-Applying beta-rule and splitting (1707), into two cases. % 25.68/6.75 |-Branch one: % 25.68/6.75 | (1730) all_0_51_51 = e0 % 25.68/6.75 | % 25.68/6.75 | Equations (1730) can reduce 344 to: % 25.68/6.75 | (526) ~ (e1 = e0) % 25.68/6.75 | % 25.68/6.75 | Simplifying 526 yields: % 25.68/6.75 | (231) ~ (e1 = e0) % 25.68/6.75 | % 25.68/6.75 +-Applying beta-rule and splitting (504), into two cases. % 25.68/6.75 |-Branch one: % 25.68/6.75 | (637) all_0_49_49 = e0 % 25.68/6.75 | % 25.68/6.75 | Combining equations (457,637) yields a new equation: % 25.68/6.75 | (296) e1 = e0 % 25.68/6.75 | % 25.68/6.75 | Simplifying 296 yields: % 25.68/6.75 | (297) e1 = e0 % 25.68/6.75 | % 25.68/6.75 | Equations (297) can reduce 231 to: % 25.68/6.75 | (298) $false % 25.68/6.75 | % 25.68/6.75 |-The branch is then unsatisfiable % 25.68/6.75 |-Branch two: % 25.68/6.75 | (652) ~ (all_0_49_49 = e0) % 25.68/6.75 | (653) all_0_56_56 = e0 % 25.68/6.75 | % 25.68/6.75 | Equations (653) can reduce 306 to: % 25.68/6.75 | (298) $false % 25.68/6.75 | % 25.68/6.75 |-The branch is then unsatisfiable % 25.68/6.75 |-Branch two: % 25.68/6.75 | (1871) ~ (all_0_51_51 = e0) % 25.68/6.75 | (396) all_0_51_51 = e2 % 25.68/6.75 | % 25.68/6.75 | Equations (396) can reduce 885 to: % 25.68/6.75 | (298) $false % 25.68/6.75 | % 25.68/6.75 |-The branch is then unsatisfiable % 25.68/6.75 |-Branch two: % 25.68/6.75 | (329) ~ (all_0_49_49 = e1) % 25.68/6.75 | (3829) all_0_50_50 = e1 | all_0_51_51 = e1 | all_0_52_52 = e1 % 25.68/6.75 | % 25.68/6.75 +-Applying beta-rule and splitting (1707), into two cases. % 25.68/6.75 |-Branch one: % 25.68/6.75 | (1730) all_0_51_51 = e0 % 25.68/6.75 | % 25.68/6.75 | Equations (1730) can reduce 344 to: % 25.68/6.75 | (526) ~ (e1 = e0) % 25.68/6.75 | % 25.68/6.75 | Simplifying 526 yields: % 25.68/6.75 | (231) ~ (e1 = e0) % 25.68/6.75 | % 25.68/6.75 +-Applying beta-rule and splitting (3829), into two cases. % 25.68/6.75 |-Branch one: % 25.68/6.75 | (771) all_0_50_50 = e1 % 25.68/6.75 | % 25.68/6.75 | Combining equations (838,771) yields a new equation: % 25.68/6.75 | (887) e2 = e1 % 25.68/6.75 | % 25.68/6.75 | Simplifying 887 yields: % 25.68/6.75 | (544) e2 = e1 % 25.68/6.75 | % 25.68/6.75 | Equations (544) can reduce 134 to: % 25.68/6.75 | (298) $false % 25.68/6.75 | % 25.68/6.75 |-The branch is then unsatisfiable % 25.68/6.75 |-Branch two: % 25.68/6.75 | (330) ~ (all_0_50_50 = e1) % 25.68/6.76 | (3841) all_0_51_51 = e1 | all_0_52_52 = e1 % 25.68/6.76 | % 25.68/6.76 +-Applying beta-rule and splitting (3841), into two cases. % 25.68/6.76 |-Branch one: % 25.68/6.76 | (1704) all_0_51_51 = e1 % 25.68/6.76 | % 25.68/6.76 | Combining equations (1730,1704) yields a new equation: % 25.68/6.76 | (297) e1 = e0 % 25.68/6.76 | % 25.68/6.76 | Equations (297) can reduce 231 to: % 25.68/6.76 | (298) $false % 25.68/6.76 | % 25.68/6.76 |-The branch is then unsatisfiable % 25.68/6.76 |-Branch two: % 25.68/6.76 | (344) ~ (all_0_51_51 = e1) % 25.68/6.76 | (326) all_0_52_52 = e1 % 25.68/6.76 | % 25.68/6.76 | Combining equations (597,326) yields a new equation: % 25.68/6.76 | (598) e4 = e1 % 25.68/6.76 | % 25.68/6.76 | Simplifying 598 yields: % 25.68/6.76 | (535) e4 = e1 % 25.68/6.76 | % 25.68/6.76 | Equations (535) can reduce 115 to: % 25.68/6.76 | (298) $false % 25.68/6.76 | % 25.68/6.76 |-The branch is then unsatisfiable % 25.68/6.76 |-Branch two: % 25.68/6.76 | (1871) ~ (all_0_51_51 = e0) % 25.68/6.76 | (396) all_0_51_51 = e2 % 25.68/6.76 | % 25.68/6.76 | Equations (396) can reduce 885 to: % 25.68/6.76 | (298) $false % 25.68/6.76 | % 25.68/6.76 |-The branch is then unsatisfiable % 25.68/6.76 |-Branch two: % 25.68/6.76 | (256) ~ (all_0_42_42 = e1) % 25.68/6.76 | (456) all_0_42_42 = e3 | all_0_42_42 = e0 % 25.68/6.76 | % 25.68/6.76 +-Applying beta-rule and splitting (456), into two cases. % 25.68/6.76 |-Branch one: % 25.68/6.76 | (466) all_0_42_42 = e0 % 25.68/6.76 | % 25.68/6.76 | Equations (466) can reduce 463 to: % 25.68/6.76 | (298) $false % 25.68/6.76 | % 25.68/6.76 |-The branch is then unsatisfiable % 25.68/6.76 |-Branch two: % 25.68/6.76 | (463) ~ (all_0_42_42 = e0) % 25.68/6.76 | (469) all_0_42_42 = e3 % 25.68/6.76 | % 25.68/6.76 | Equations (469) can reduce 847 to: % 25.68/6.76 | (298) $false % 25.68/6.76 | % 25.68/6.76 |-The branch is then unsatisfiable % 25.68/6.76 |-Branch two: % 25.68/6.76 | (301) ~ (all_0_43_43 = e0) % 25.68/6.76 | (2731) all_0_48_48 = e0 | all_0_52_52 = e0 | all_0_60_60 = e0 % 25.68/6.76 | % 25.68/6.76 +-Applying beta-rule and splitting (2731), into two cases. % 25.68/6.76 |-Branch one: % 25.68/6.76 | (717) all_0_48_48 = e0 % 25.68/6.76 | % 25.68/6.76 | Equations (717) can reduce 303 to: % 25.68/6.76 | (298) $false % 25.68/6.76 | % 25.68/6.76 |-The branch is then unsatisfiable % 25.68/6.76 |-Branch two: % 25.68/6.76 | (303) ~ (all_0_48_48 = e0) % 25.68/6.76 | (2886) all_0_52_52 = e0 | all_0_60_60 = e0 % 25.68/6.76 | % 25.68/6.76 +-Applying beta-rule and splitting (2886), into two cases. % 25.68/6.76 |-Branch one: % 25.68/6.76 | (2078) all_0_52_52 = e0 % 25.68/6.76 | % 25.68/6.76 | Combining equations (597,2078) yields a new equation: % 25.68/6.76 | (480) e4 = e0 % 25.68/6.76 | % 25.68/6.76 | Simplifying 480 yields: % 25.68/6.76 | (481) e4 = e0 % 25.68/6.76 | % 25.68/6.76 | Equations (481) can reduce 47 to: % 25.68/6.76 | (298) $false % 25.68/6.76 | % 25.68/6.76 |-The branch is then unsatisfiable % 25.68/6.76 |-Branch two: % 25.68/6.76 | (304) ~ (all_0_52_52 = e0) % 25.68/6.76 | (300) all_0_60_60 = e0 % 25.68/6.76 | % 25.68/6.76 | Combining equations (300,2157) yields a new equation: % 25.68/6.76 | (297) e1 = e0 % 25.68/6.76 | % 25.68/6.76 | Equations (297) can reduce 231 to: % 25.68/6.76 | (298) $false % 25.68/6.76 | % 25.68/6.76 |-The branch is then unsatisfiable % 25.68/6.76 |-Branch two: % 25.68/6.76 | (425) ~ (all_0_40_40 = e3) % 25.68/6.76 | (479) all_0_40_40 = e4 % 25.68/6.76 | % 25.68/6.76 | Equations (479) can reduce 483 to: % 25.68/6.76 | (298) $false % 25.68/6.76 | % 25.68/6.76 |-The branch is then unsatisfiable % 25.68/6.76 |-Branch two: % 25.68/6.76 | (398) ~ (all_0_50_50 = e2) % 25.68/6.76 | (2026) all_0_54_54 = e2 | all_0_57_57 = e2 % 25.68/6.76 | % 25.68/6.76 +-Applying beta-rule and splitting (160), into two cases. % 25.68/6.76 |-Branch one: % 25.68/6.76 | (771) all_0_50_50 = e1 % 25.68/6.76 | % 25.68/6.76 | Equations (771) can reduce 330 to: % 25.68/6.76 | (298) $false % 25.68/6.76 | % 25.68/6.76 |-The branch is then unsatisfiable % 25.68/6.76 |-Branch two: % 25.68/6.76 | (330) ~ (all_0_50_50 = e1) % 25.68/6.76 | (774) all_0_50_50 = e4 | all_0_50_50 = e2 | all_0_50_50 = e0 % 25.68/6.76 | % 25.68/6.76 +-Applying beta-rule and splitting (774), into two cases. % 25.68/6.76 |-Branch one: % 25.68/6.76 | (781) all_0_50_50 = e0 % 25.68/6.76 | % 25.68/6.76 | Equations (781) can reduce 661 to: % 25.68/6.76 | (298) $false % 25.68/6.76 | % 25.68/6.76 |-The branch is then unsatisfiable % 25.68/6.76 |-Branch two: % 25.68/6.76 | (661) ~ (all_0_50_50 = e0) % 25.68/6.76 | (834) all_0_50_50 = e4 | all_0_50_50 = e2 % 25.68/6.76 | % 25.68/6.76 +-Applying beta-rule and splitting (834), into two cases. % 25.68/6.76 |-Branch one: % 25.68/6.76 | (523) all_0_50_50 = e4 % 25.68/6.76 | % 25.68/6.76 | Equations (523) can reduce 596 to: % 25.68/6.76 | (298) $false % 25.68/6.76 | % 25.68/6.76 |-The branch is then unsatisfiable % 25.68/6.76 |-Branch two: % 25.68/6.76 | (596) ~ (all_0_50_50 = e4) % 25.68/6.76 | (838) all_0_50_50 = e2 % 25.68/6.76 | % 25.68/6.76 | Equations (838) can reduce 398 to: % 25.68/6.76 | (298) $false % 25.68/6.76 | % 25.68/6.76 |-The branch is then unsatisfiable % 25.68/6.76 |-Branch two: % 25.68/6.76 | (361) ~ (all_0_47_47 = e2) % 25.68/6.76 | (743) all_0_48_48 = e2 % 25.68/6.76 | % 25.68/6.76 | Equations (743) can reduce 363 to: % 25.68/6.76 | (298) $false % 25.68/6.76 | % 25.68/6.76 |-The branch is then unsatisfiable % 25.68/6.76 |-Branch two: % 25.68/6.76 | (695) ~ (all_0_52_52 = e4) % 25.68/6.76 | (696) all_0_60_60 = e4 % 25.68/6.76 | % 25.68/6.76 | Combining equations (696,2157) yields a new equation: % 25.68/6.76 | (598) e4 = e1 % 25.68/6.76 | % 25.68/6.76 | Simplifying 598 yields: % 25.68/6.76 | (535) e4 = e1 % 25.68/6.76 | % 25.68/6.76 | Equations (535) can reduce 115 to: % 25.68/6.76 | (298) $false % 25.68/6.76 | % 25.68/6.76 |-The branch is then unsatisfiable % 25.68/6.76 |-Branch two: % 25.68/6.76 | (260) ~ (all_0_46_46 = e1) % 25.68/6.76 | (337) all_0_58_58 = e1 % 25.68/6.76 | % 25.68/6.76 | Combining equations (955,337) yields a new equation: % 25.68/6.76 | (887) e2 = e1 % 25.68/6.76 | % 25.68/6.76 | Simplifying 887 yields: % 25.68/6.76 | (544) e2 = e1 % 25.68/6.76 | % 25.68/6.76 | Equations (544) can reduce 134 to: % 25.68/6.76 | (298) $false % 25.68/6.76 | % 25.68/6.76 |-The branch is then unsatisfiable % 25.68/6.76 |-Branch two: % 25.68/6.76 | (275) ~ (all_0_54_54 = e1) % 25.68/6.76 | (1029) all_0_55_55 = e1 % 25.68/6.76 | % 25.68/6.76 | Equations (1029) can reduce 277 to: % 25.68/6.76 | (298) $false % 25.68/6.76 | % 25.68/6.76 |-The branch is then unsatisfiable % 25.68/6.76 |-Branch two: % 25.68/6.76 | (299) ~ (all_0_45_45 = e0) % 25.68/6.76 | (300) all_0_60_60 = e0 % 25.68/6.76 | % 25.68/6.76 | Combining equations (2157,300) yields a new equation: % 25.68/6.76 | (296) e1 = e0 % 25.68/6.76 | % 25.68/6.76 | Simplifying 296 yields: % 25.68/6.76 | (297) e1 = e0 % 25.68/6.76 | % 25.68/6.76 | Equations (297) can reduce 231 to: % 25.68/6.76 | (298) $false % 25.68/6.76 | % 25.68/6.76 |-The branch is then unsatisfiable % 25.68/6.76 % SZS output end Proof for theBenchmark % 25.68/6.76 % 25.68/6.76 6169ms %------------------------------------------------------------------------------